Equation

Problem 18101

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Question Solve the following logarithm problem for the positive solution for $x$ . $\log _{64} x=-\frac{4}{3}$
Answer Attempt 1 out of 2

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Problem 18102

1) $L_{-} \mathrm{AlBr}_{3}+{ }_{+} \mathrm{K} \rightarrow{ }_{-} \mathrm{KBr}+{ }_{+} \mathrm{Al}$ 3) ${ }_{\square} \mathrm{P}_{4}+\ldots \mathrm{Br}_{2} \rightarrow \mathrm{PBr}_{3}$ 4) $\quad \mathrm{LiCl}+\ldots \mathrm{Br}_{2} \rightarrow \mathrm{LiBr}_{+}+\mathrm{Cl}_{2}$ 5) $\_\mathrm{PbBr}_{2}+\ldots \mathrm{HCl} \rightarrow \mathrm{HBr}_{+} \ldots \mathrm{PbCl}_{2}$ 6) $\ldots \mathrm{CoBr}_{3}+\ldots \mathrm{CaSO}_{4} \rightarrow \ldots \mathrm{CaBr}_{2}+\ldots \mathrm{Co}_{2}\left(\mathrm{SO}_{4}\right)_{3}$ 7) $\mathrm{Na}_{3} \mathrm{P}+\ldots \mathrm{CaF}_{2} \rightarrow+\mathrm{NaF}+\ldots \mathrm{Cas}_{2}$ 8) $-\mathrm{Mn}++{ }_{-} \mathrm{HI} \rightarrow{ }_{-} \mathrm{H}_{2}+{ }_{-} \mathrm{Mnl}_{3}$ 9) $-\mathrm{Li}_{3} \mathrm{PO}_{4}+\mathrm{NaBr}_{-} \mathrm{Na}_{3} \mathrm{PO}_{4}+\ldots \mathrm{ZiBr}$ 10) $=\mathrm{CaF}_{2}+\ldots \mathrm{Li}_{2} \mathrm{SO}_{4} \rightarrow \mathrm{CaSO}_{4}+\ldots \mathrm{LiF}$ 11) $\mathrm{HBr}+\underset{\sim}{ } \mathrm{Mg}(\mathrm{OH})_{2} \rightarrow \mathrm{MgBr}_{2}+\ldots \mathrm{H}_{2} \mathrm{O}$ 12) $\left[\mathrm{LiNO}_{3}+\ldots \mathrm{CaBr}_{2} \rightarrow \quad \mathrm{Ca}\left(\mathrm{NO}_{3}\right)_{2}+\ldots \mathrm{LiBr}\right.$ 13) $\quad \mathrm{AgNO}_{3}+\ldots \mathrm{Li} \rightarrow \quad \mathrm{LNO}_{3}+\ldots \quad \mathrm{Ag}$ 14) $\left[\mathrm{Si}(\mathrm{OH})_{4}+\mathrm{NaBr}_{+} \quad \mathrm{SiBr}_{4}+\mathrm{NaOH}_{+}\right.$ 15) $\_\mathrm{NaCN}+\ldots \mathrm{CuCO}_{3} \rightarrow \_\mathrm{Na}_{2} \mathrm{CO}_{3}+\ldots \mathrm{Cu}(\mathrm{CN})_{2}$ 16) $\mathrm{NH}_{3}+\mathrm{H}_{2} \mathrm{SO}_{4} \rightarrow \quad\left(\mathrm{NH}_{4}\right)_{2} \mathrm{SO}_{4}$

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Problem 18103

Question 1 (1 point) Matthew is trying to figure out which value for $x$ is NOT a solution for $\tan x=0$ . Do you have an answer? Choose one. a) 0 b) $2 \pi$ c) $-3 \pi$ d) $\frac{\pi}{2}$

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Problem 18104

Solve for $b$ . $\begin{array}{l} 3(b-5)=r \\ b=\square \end{array}$

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Problem 18105

3) Your bank account has a balance of $\$ 2,500$ and an interest rate of $0.5 \%$ per year. How long will you have to wait until you have $\$ 2,600$ ? (round to 2 decimals)

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Problem 18106

3. $s+\frac{1}{4}=12 \frac{1}{2}$

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Problem 18107

Video Questions ansmered
In March it rained 0.97 inches. It rained 0.81 inches less in April than in March. How much did it rain in April? $\square$ inches Submit Treve elupes 00 04 10 nit 日 sine Simitscore out of 100 28 Work it out Not feeling ready yet? These can help:

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Problem 18108

boy wants to purchase 118 green marbles. If there are 8 green marbles in each lany bags of marbles should the boy buy? $\square$ bags Submit

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Problem 18109

3. Determine the equation of the following circles: a. Centre $(0,0)$ and radius 4 b. Centre $(0,0)$ and through $(3,4)$

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Problem 18110

Solve for $x$ in the equation $4=\frac{2}{3}(9 x-6)$ .

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Problem 18111

Bestimmen Sie die Nullstellen von $f(x)=2 x^{2}+4 x-16$ .

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Problem 18112

Find the $x$ -coordinates where the slope of the tangent to $f(x)=\frac{1}{3} x^{3}-5 x^{2}+1$ is $m=-16$ .

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Problem 18113

Find the value of $b$ in the equation: $b - 57 + 42 = 60$ .

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Problem 18114

A visits an animal shelter and adopts 5 cats. If there are 3 times as many dogs as cats, how many dogs are there?

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Problem 18115

Solve for $x$ in the equation $x - 1 = 5x + 3x - 8$ .

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Problem 18116

Lamar saves 50% of his \$500 weekly pay. How many weeks to save \$2,000 for a motorcycle down payment?

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Problem 18117

Solve these linear equations and identify if they are inconsistent or identities. Reduce non-integer answers to simplest fractions. (a) $7 x+5=2 x-35$ (b) $\frac{x}{3}-7=-5$ (c) $4 x+5=4 x-1$

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Problem 18118

Find a number $x$ such that $8x - 3 = \frac{1}{2}(16(x + 1))$ . Explain why it may not exist.

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Problem 18119

Find the value of $x$ that makes $\frac{9}{5}=\frac{108}{x}$ true.

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Problem 18120

The Tigers scored 6 runs, which is 2 times the Orioles' runs. Find the equation for the Orioles' runs, $r$ .

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Problem 18121

Solve the equation $K(w)=55.50+1.2w$ for $K(w)=200$ algebraically.

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Problem 18122

Find the intersection point of the lines $y=5x+1$ and $y=2x-11$ . Determine both $x$ and $y$ coordinates.

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Problem 18123

Let Lou have $x$ songs. Then, Kelly has $4x$ and Tiffany has $6x$ . The equation is $x + 4x + 6x = 682$ . Find Kelly's songs.

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Problem 18124

Solve for $z$ in the equation $W = X + Xyz$ .

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Problem 18125

Solve for $x$ in the equation: $2 x - 19 = 4 x + 1$ .

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Problem 18126

Find the number of parts, $n$ , produced when the cost, $C$ , is \ $4,200 in the equation$ C=200 \sqrt[3]{n}+200$.

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Problem 18127

Solve the equation: $\frac{b}{16}-9=-4$

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Problem 18128

Solve for $b_{1}$ in the formula $A=\frac{1}{2} h(b_{1}+b_{2})$ .

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Problem 18129

Calculate the circumference and area of a circle with points (-3,4) and (-4,2) on its edge. Area is 157 $\mathrm{cm}^{2}$ .

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Problem 18130

Solve for $b_{1}$ in the equation $A=\frac{1}{2} h(b_{1}+b_{2})$ . Options: A, B, C, D.

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Problem 18131

Solve the equation |(4x+1)/(x-1)| = 6. Choose the correct solutions: A. 7/2, 1/2 B. 7,5 C. -2,-10 D. 7/10, 5/2

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Problem 18132

What was Gloria's salary before an 11% raise if she now earns \$22,200? A. \$18,000 B. \$21,000 C. \$19,000 D. \$20,000

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Problem 18133

Californian rabbits in New Zealand: currently 190M, growing by 4M/year. Find: A. Equation $P(t)=mt+b$ ; B. $P(13)$ ; C. years since intro.

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Problem 18134

Duc has 53 pounds of nails and divides them among 4 boxes. How many pounds per box? Calculate: $53 \div 4$ .

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Problem 18135

Solve the equation using the quadratic formula: $4 n^{2} = -12 n - 7$ . Provide exact and approximate solutions.

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Problem 18136

Solve for $x$ in the equation $k x + 3 x = 4$ .

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Problem 18137

Solve the equation $4n^{2} = -12n - 7$ using the quadratic formula. Provide exact and approximate solutions.

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Problem 18138

Find the year when health care expenditures $E=0.102x+1.516$ reach \ $2.128 trillion, with$ x$ as years after 2000.

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Problem 18139

How many packs of buns (6 per pack) and patties (8 per pack) to buy for 80-100 hamburgers with no leftovers?

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Problem 18140

What is the new equation of the graph $y=f(x)$ after translating it left 7 units and up 3 units?

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Problem 18141

Graph the equation: $4y = 2x - 14$ .

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Problem 18142

Grade 7 students plan to sell 100-150 hot dogs.
a) How many packs of 12 wieners and 8 buns to avoid leftovers? Justify. b) How many packs for over 300 hot dogs?

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Problem 18143

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Problem 18144

Solve the equation $(x+4)^{2}-4=36$ . Find all possible values for $x$ .

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Problem 18145

Graph the line represented by the equation $x = -4$ .

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Problem 18146

Find the x-intercepts and y-intercepts of the equation $y=x^{2}+6$ .

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Problem 18147

Find the value of $b$ in the equation $5=\log _{b}(32)$ .

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Problem 18148

Find the slope of the line through the points $(9,-8)$ and $(9,-5)$ .

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Problem 18149

What is the scale factor between figure 1 (area 6) and figure 2 (area 294)? Show your reasoning.

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Problem 18150

Find the perimeter of equilateral triangle $KLM$ with vertices $K(-2,1)$ and $M(10,6)$ . Use the Distance Formula to find $KM$ and then $P$ .

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Problem 18151

Solve for $x$ : $x^{2}-8x=24$ . Find the values of $x$ .

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Problem 18152

How much will \ $12,000 grow in 5 years at 2% interest compounded semiannually? Use$ A=P\left(1+\frac{r}{m}\right)^{mt}$.

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Problem 18153

The area of figure 1 is 20 sq. units. With a scale factor of 3, what is the area of figure 2? Explain your reasoning.

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Problem 18154

Determine the slope and $y$ -intercept of the line given by the equation $2x + 5y = 21$ .

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Problem 18155

Find $h$ in the equation $A=\frac{\left(b_{1}+b_{2}\right) h}{2}$ .

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Problem 18156

Find the line equation with slope $m$ through point (4,4). Answer in slope-intercept form: $m=-\frac{2}{3}$ .

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Problem 18157

Solve for $b$ in the equation $T=\frac{b-d}{k}$ .

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Problem 18158

Find $\log_{8} 1,000$ using $\ln 8 \approx 2.08$ and $\ln 1,000 \approx 6.91$ .

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Problem 18159

Calculate $4 + 4 + 4 + 4 + 4$ and find the value of $\frac{-9}{10} + \frac{-1}{6}$ .

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Problem 18160

Solve: $\log 8 x - \log 2 = \log 16$ for $x$ . Options: $1$ , $4$ , $\frac{9}{4}$ , $\frac{\log 16 + \log 2}{\log 8}$ .

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Problem 18161

What is the total cost for layaway if the printer costs \$82 with a \$5 setup fee? Choose: (A) \$82 (B) \$82 + interest (C) \$87

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Problem 18162

Calculate: $\frac{-9}{10}+\frac{-1}{6}=$

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Problem 18163

Solve for $m$ in the equation $y=mx+b$ .

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Problem 18164

Graph the cost equation $c = 10 + \frac{1}{4} m$ and estimate $c$ for $m = 36$ .

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Problem 18165

Solve for $y$ : $3(2y + 4) = 4(2y - \frac{1}{2})$ . What is the value of $y$ ?

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Problem 18166

Solve the equation $x-9=23$ . What is the value of $x$ ? Options: $32$ , $-14$ , $14$ , $-32$ .

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Problem 18167

If figure 1 has an area of 15 square units and a scale factor of 5, what is the area of figure 2?

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Problem 18168

Find the snow depth, $d$ , on January 30 using the equation $d=-2t+64$ , where $t$ is days since Dec 31.

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Problem 18169

Solve the equation $x - 9 = 23$ . What is the value of $x$ ?

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Problem 18170

The area of figure 2 is $15 \times 5^2 = 375$ square units. The area scales with the square of the factor.

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Problem 18171

The area of figure 2 is what if figure 1 has an area of 15 square units and a scale factor of 5?

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Problem 18172

Which steps solve $\frac{3 x}{4}=\frac{7}{3}$ ? Find the solution for $x$ .

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Problem 18173

Find the sales in 1989 using the formula $S=70 x+500$ , where $x=0$ is 1982.

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Problem 18174

Find the mass of a gold sample (density 19.3 g/cm³) with a volume of 2.5 cm³ using $d=\frac{m}{v}$ . Mass: g

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Problem 18175

Find $x$ in the equation: $2x - 11 = 7x + 16$ . Options: $3$ , $-5 \frac{2}{5}$ , $-1$ , $\frac{5}{9}$ .

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Problem 18176

Solve for $y$ in the equation $Ax + By = C$ using $x$ , $A$ , $B$ , and $C$ .

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Problem 18177

Calculate the nitrogen monoxide production rate in kg/s when 499 L/s of dioxygen is used at $174 .{ }^{\circ} \mathrm{C}$ and $0.74 \mathrm{~atm}$ . Round to 2 significant digits.

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Problem 18178

Find the hours when total costs of ski rentals from Shop A ( $3 + 9h$ ) and Shop B ( $9 + 6h$ ) are equal.

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Problem 18179

Calculate the sum: $-1 + (-2) =$

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Problem 18180

Solve the equation $\frac{x+1-1}{3}=2-1$ .

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Problem 18181

Solve the equation $\frac{x+1-1}{3} = 2-1$ . What mistake was made? Correctly solve for $x$ .

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Problem 18182

Add: $-6 + 0 =$

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Problem 18183

Find the minimum number of backpacks $x$ to sell for profit where $C=98x+7,809$ and $R=190x$ . Choices: A. 718,428 B. \$2,248,992 C. 85 D. 29

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Problem 18184

A plane flies at 200 mph for 225 miles ± 50 miles. Find the min and max travel time in hours. At least $h$ and at most $h$ .

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Problem 18185

Add: $-3 + (-5) =$

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Problem 18186

Prove or disprove that there are no positive integers $a, b, c$ and integer $n>2$ such that $a^{n}+b^{n}=c^{n}$ .

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Problem 18187

Find the number of units $t$ to sell for profit if cost is $C=3t^{2}+7t$ and revenue is $R=4t^{2}+t$ .

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Problem 18188

Estimate the number of employees in educational services in 2010, given 14.5 million in 2005 and 16.5 million in 2014. Use a linear model.

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Problem 18189

Find an expression to determine how much Muhundan owes after borrowing \$ 213 and repaying \$ 130. He owes \$ \square.

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Problem 18190

There are 48 trails in total, with $37.5\%$ being beginner trails. Find the number of expert trails.

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Problem 18191

Calculate: $-12 + (-6) =$

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Problem 18192

Calculate the sum: $-4 + (-3) =$

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Problem 18193

In an obtuse triangle, sides are $(x-5)$ in, $6$ in, and $\frac{x}{2}$ in with a perimeter of $13$ in. Find the shortest side.

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Problem 18194

Sarah's net income is \$1764.72 and taxes are \$158.04. Find her gross income for the week.

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Problem 18195

Calculate $9 - (-2)$ . What is the result?

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Problem 18196

Calculate $7 - (-5)$ . What is the result?

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Problem 18197

(a) Is the difference positive, zero, or negative? (b) Calculate $378-314=$

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Problem 18198

You spend \$132 on 5 cans of paint: white at \$24/can and blue at \$28/can. How much would you save by switching colors?

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Problem 18199

Place the decimal point correctly in the solution: $103.67 + 225.019 = 328689$ .

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Problem 18200

Evaluate $15 - 15$ . What is the result?

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1 ...179 180 181 182 183 184 185 ...188

Equation

Problem 18101

Watch VideoQuestion Solve the following logarithm problem for the positive solution for xxx. log⁡64x=−43\log _{64} x=-\frac{4}{3}log64​x=−34​Answer Attempt 1 out of 2

Problem 18102

Problem 18103

Question 1 (1 point) Matthew is trying to figure out which value for xxx is NOT a solution for tan⁡x=0\tan x=0tanx=0. Do you have an answer? Choose one. a) 0 b) 2π2 \pi2π c) −3π-3 \pi−3π d) π2\frac{\pi}{2}2π​

Problem 18104

Solve for bbb. 3(b−5)=rb=□\begin{array}{l} 3(b-5)=r \\ b=\square \end{array}3(b−5)=rb=□​

Problem 18105

3) Your bank account has a balance of $2,500\$ 2,500$2,500 and an interest rate of 0.5%0.5 \%0.5% per year. How long will you have to wait until you have $2,600\$ 2,600$2,600 ? (round to 2 decimals)

Problem 18106

3. s+14=1212s+\frac{1}{4}=12 \frac{1}{2}s+41​=1221​

Problem 18107

Video Questions ansmeredIn March it rained 0.97 inches. It rained 0.81 inches less in April than in March. How much did it rain in April? □\square□ inches Submit Treve elupes 00 04 10 nit 日 sine Simitscore out of 100 28 Work it out Not feeling ready yet? These can help:

Problem 18108

boy wants to purchase 118 green marbles. If there are 8 green marbles in each lany bags of marbles should the boy buy? □\square□ bags Submit

Problem 18109

3. Determine the equation of the following circles: a. Centre (0,0)(0,0)(0,0) and radius 4 b. Centre (0,0)(0,0)(0,0) and through (3,4)(3,4)(3,4)

Problem 18110

Solve for xxx in the equation 4=23(9x−6)4=\frac{2}{3}(9 x-6)4=32​(9x−6).

Problem 18111

Bestimmen Sie die Nullstellen von f(x)=2x2+4x−16f(x)=2 x^{2}+4 x-16f(x)=2x2+4x−16.

Problem 18112

Find the xxx-coordinates where the slope of the tangent to f(x)=13x3−5x2+1f(x)=\frac{1}{3} x^{3}-5 x^{2}+1f(x)=31​x3−5x2+1 is m=−16m=-16m=−16.

Problem 18113

Find the value of bbb in the equation: b−57+42=60b - 57 + 42 = 60b−57+42=60.

Problem 18114

A visits an animal shelter and adopts 5 cats. If there are 3 times as many dogs as cats, how many dogs are there?

Problem 18115

Solve for xxx in the equation x−1=5x+3x−8x - 1 = 5x + 3x - 8x−1=5x+3x−8.

Problem 18116

Lamar saves 50% of his \$500 weekly pay. How many weeks to save \$2,000 for a motorcycle down payment?

Problem 18117

Solve these linear equations and identify if they are inconsistent or identities. Reduce non-integer answers to simplest fractions. (a) 7x+5=2x−357 x+5=2 x-357x+5=2x−35 (b) x3−7=−5\frac{x}{3}-7=-53x​−7=−5 (c) 4x+5=4x−14 x+5=4 x-14x+5=4x−1

Problem 18118

Find a number xxx such that 8x−3=12(16(x+1))8x - 3 = \frac{1}{2}(16(x + 1))8x−3=21​(16(x+1)). Explain why it may not exist.

Problem 18119

Find the value of xxx that makes 95=108x\frac{9}{5}=\frac{108}{x}59​=x108​ true.

Problem 18120

The Tigers scored 6 runs, which is 2 times the Orioles' runs. Find the equation for the Orioles' runs, rrr.

Problem 18121

Solve the equation K(w)=55.50+1.2wK(w)=55.50+1.2wK(w)=55.50+1.2w for K(w)=200K(w)=200K(w)=200 algebraically.

Problem 18122

Find the intersection point of the lines y=5x+1y=5x+1y=5x+1 and y=2x−11y=2x-11y=2x−11. Determine both xxx and yyy coordinates.

Problem 18123

Let Lou have xxx songs. Then, Kelly has 4x4x4x and Tiffany has 6x6x6x. The equation is x+4x+6x=682x + 4x + 6x = 682x+4x+6x=682. Find Kelly's songs.

Problem 18124

Solve for zzz in the equation W=X+XyzW = X + XyzW=X+Xyz.

Problem 18125

Solve for xxx in the equation: 2x−19=4x+12 x - 19 = 4 x + 12x−19=4x+1.

Problem 18126

Find the number of parts, nnn, produced when the cost, CCC, is \4,200intheequation4,200 in the equation 4,200intheequationC=200 \sqrt[3]{n}+200$.

Problem 18127

Solve the equation: b16−9=−4\frac{b}{16}-9=-416b​−9=−4

Problem 18128

Solve for b1b_{1}b1​ in the formula A=12h(b1+b2)A=\frac{1}{2} h(b_{1}+b_{2})A=21​h(b1​+b2​).

Problem 18129

Calculate the circumference and area of a circle with points (-3,4) and (-4,2) on its edge. Area is 157 cm2\mathrm{cm}^{2}cm2.

Problem 18130

Solve for b1b_{1}b1​ in the equation A=12h(b1+b2)A=\frac{1}{2} h(b_{1}+b_{2})A=21​h(b1​+b2​). Options: A, B, C, D.

Problem 18131

Solve the equation |(4x+1)/(x-1)| = 6. Choose the correct solutions: A. 7/2, 1/2 B. 7,5 C. -2,-10 D. 7/10, 5/2

Problem 18132

What was Gloria's salary before an 11% raise if she now earns \$22,200? A. \$18,000 B. \$21,000 C. \$19,000 D. \$20,000

Problem 18133

Californian rabbits in New Zealand: currently 190M, growing by 4M/year. Find: A. Equation P(t)=mt+bP(t)=mt+bP(t)=mt+b; B. P(13)P(13)P(13); C. years since intro.

Problem 18134

Duc has 53 pounds of nails and divides them among 4 boxes. How many pounds per box? Calculate: 53÷453 \div 453÷4.

Problem 18135

Solve the equation using the quadratic formula: 4n2=−12n−74 n^{2} = -12 n - 74n2=−12n−7. Provide exact and approximate solutions.

Problem 18136

Solve for xxx in the equation kx+3x=4k x + 3 x = 4kx+3x=4.

Problem 18137

Solve the equation 4n2=−12n−74n^{2} = -12n - 74n2=−12n−7 using the quadratic formula. Provide exact and approximate solutions.

Problem 18138

Find the year when health care expenditures E=0.102x+1.516E=0.102x+1.516E=0.102x+1.516 reach \2.128trillion,with2.128 trillion, with 2.128trillion,withx$ as years after 2000.

Problem 18139

How many packs of buns (6 per pack) and patties (8 per pack) to buy for 80-100 hamburgers with no leftovers?

Problem 18140

What is the new equation of the graph y=f(x)y=f(x)y=f(x) after translating it left 7 units and up 3 units?

Watch Video
Question Solve the following logarithm problem for the positive solution for $x$ . $\log _{64} x=-\frac{4}{3}$
Answer Attempt 1 out of 2

Question 1 (1 point) Matthew is trying to figure out which value for $x$ is NOT a solution for $\tan x=0$ . Do you have an answer? Choose one. a) 0 b) $2 \pi$ c) $-3 \pi$ d) $\frac{\pi}{2}$

Solve for $b$ . $\begin{array}{l} 3(b-5)=r \\ b=\square \end{array}$

3) Your bank account has a balance of $\$ 2,500$ and an interest rate of $0.5 \%$ per year. How long will you have to wait until you have $\$ 2,600$ ? (round to 2 decimals)

3. $s+\frac{1}{4}=12 \frac{1}{2}$

Video Questions ansmered
In March it rained 0.97 inches. It rained 0.81 inches less in April than in March. How much did it rain in April? $\square$ inches Submit Treve elupes 00 04 10 nit 日 sine Simitscore out of 100 28 Work it out Not feeling ready yet? These can help:

boy wants to purchase 118 green marbles. If there are 8 green marbles in each lany bags of marbles should the boy buy? $\square$ bags Submit

3. Determine the equation of the following circles: a. Centre $(0,0)$ and radius 4 b. Centre $(0,0)$ and through $(3,4)$

Solve for $x$ in the equation $4=\frac{2}{3}(9 x-6)$ .

Bestimmen Sie die Nullstellen von $f(x)=2 x^{2}+4 x-16$ .

Find the $x$ -coordinates where the slope of the tangent to $f(x)=\frac{1}{3} x^{3}-5 x^{2}+1$ is $m=-16$ .

Find the value of $b$ in the equation: $b - 57 + 42 = 60$ .

Solve for $x$ in the equation $x - 1 = 5x + 3x - 8$ .

Solve these linear equations and identify if they are inconsistent or identities. Reduce non-integer answers to simplest fractions. (a) $7 x+5=2 x-35$ (b) $\frac{x}{3}-7=-5$ (c) $4 x+5=4 x-1$

Find a number $x$ such that $8x - 3 = \frac{1}{2}(16(x + 1))$ . Explain why it may not exist.

Find the value of $x$ that makes $\frac{9}{5}=\frac{108}{x}$ true.

The Tigers scored 6 runs, which is 2 times the Orioles' runs. Find the equation for the Orioles' runs, $r$ .

Solve the equation $K(w)=55.50+1.2w$ for $K(w)=200$ algebraically.

Find the intersection point of the lines $y=5x+1$ and $y=2x-11$ . Determine both $x$ and $y$ coordinates.

Let Lou have $x$ songs. Then, Kelly has $4x$ and Tiffany has $6x$ . The equation is $x + 4x + 6x = 682$ . Find Kelly's songs.

Solve for $z$ in the equation $W = X + Xyz$ .

Solve for $x$ in the equation: $2 x - 19 = 4 x + 1$ .

Find the number of parts, $n$ , produced when the cost, $C$ , is \ $4,200 in the equation$ C=200 \sqrt[3]{n}+200$.

Solve the equation: $\frac{b}{16}-9=-4$

Solve for $b_{1}$ in the formula $A=\frac{1}{2} h(b_{1}+b_{2})$ .

Calculate the circumference and area of a circle with points (-3,4) and (-4,2) on its edge. Area is 157 $\mathrm{cm}^{2}$ .

Solve for $b_{1}$ in the equation $A=\frac{1}{2} h(b_{1}+b_{2})$ . Options: A, B, C, D.

Californian rabbits in New Zealand: currently 190M, growing by 4M/year. Find: A. Equation $P(t)=mt+b$ ; B. $P(13)$ ; C. years since intro.

Duc has 53 pounds of nails and divides them among 4 boxes. How many pounds per box? Calculate: $53 \div 4$ .

Solve the equation using the quadratic formula: $4 n^{2} = -12 n - 7$ . Provide exact and approximate solutions.

Solve for $x$ in the equation $k x + 3 x = 4$ .

Solve the equation $4n^{2} = -12n - 7$ using the quadratic formula. Provide exact and approximate solutions.

Find the year when health care expenditures $E=0.102x+1.516$ reach \ $2.128 trillion, with$ x$ as years after 2000.

What is the new equation of the graph $y=f(x)$ after translating it left 7 units and up 3 units?

Graph the equation: $4y = 2x - 14$ .

Grade 7 students plan to sell 100-150 hot dogs.
a) How many packs of 12 wieners and 8 buns to avoid leftovers? Justify. b) How many packs for over 300 hot dogs?

Solve the equation $(x+4)^{2}-4=36$ . Find all possible values for $x$ .

Graph the line represented by the equation $x = -4$ .

Find the x-intercepts and y-intercepts of the equation $y=x^{2}+6$ .

Find the value of $b$ in the equation $5=\log _{b}(32)$ .

Find the slope of the line through the points $(9,-8)$ and $(9,-5)$ .

Find the perimeter of equilateral triangle $KLM$ with vertices $K(-2,1)$ and $M(10,6)$ . Use the Distance Formula to find $KM$ and then $P$ .

Solve for $x$ : $x^{2}-8x=24$ . Find the values of $x$ .

How much will \ $12,000 grow in 5 years at 2% interest compounded semiannually? Use$ A=P\left(1+\frac{r}{m}\right)^{mt}$.

Determine the slope and $y$ -intercept of the line given by the equation $2x + 5y = 21$ .

Find $h$ in the equation $A=\frac{\left(b_{1}+b_{2}\right) h}{2}$ .

Find the line equation with slope $m$ through point (4,4). Answer in slope-intercept form: $m=-\frac{2}{3}$ .

Solve for $b$ in the equation $T=\frac{b-d}{k}$ .

Find $\log_{8} 1,000$ using $\ln 8 \approx 2.08$ and $\ln 1,000 \approx 6.91$ .

Calculate $4 + 4 + 4 + 4 + 4$ and find the value of $\frac{-9}{10} + \frac{-1}{6}$ .

Solve: $\log 8 x - \log 2 = \log 16$ for $x$ . Options: $1$ , $4$ , $\frac{9}{4}$ , $\frac{\log 16 + \log 2}{\log 8}$ .

Calculate: $\frac{-9}{10}+\frac{-1}{6}=$

Solve for $m$ in the equation $y=mx+b$ .

Graph the cost equation $c = 10 + \frac{1}{4} m$ and estimate $c$ for $m = 36$ .

Solve for $y$ : $3(2y + 4) = 4(2y - \frac{1}{2})$ . What is the value of $y$ ?

Solve the equation $x-9=23$ . What is the value of $x$ ? Options: $32$ , $-14$ , $14$ , $-32$ .

Find the snow depth, $d$ , on January 30 using the equation $d=-2t+64$ , where $t$ is days since Dec 31.

Solve the equation $x - 9 = 23$ . What is the value of $x$ ?

The area of figure 2 is $15 \times 5^2 = 375$ square units. The area scales with the square of the factor.

Which steps solve $\frac{3 x}{4}=\frac{7}{3}$ ? Find the solution for $x$ .

Find the sales in 1989 using the formula $S=70 x+500$ , where $x=0$ is 1982.

Find the mass of a gold sample (density 19.3 g/cm³) with a volume of 2.5 cm³ using $d=\frac{m}{v}$ . Mass: g