Browse Math problems in the Studdy Learning Bank!

Problem 3101

Find the positive value of $x$ where the ratio $x: 50$ is equivalent to the ratio $8: x$ .

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Problem 3102

Compute the product $3w(3w^2 + 5)$ and simplify the result.

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Problem 3103

Find the limit of the rational function $(x^2 - 7x + 12) / (x - 3)$ as $x$ approaches 3, or state if the limit does not exist.

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Problem 3104

Find the solution set for the inequality $4x + 3 \leq x - 7$ .

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Problem 3105

Calculate the purchase price of a 26-week T-bill with a $1000 maturity value and 5.25% annual interest rate, rounded to the nearest cent using 360 days.

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Problem 3106

Maximize $z=3x_1+7x_2+8x_3$ subject to $5x_1-x_2+x_3\leq1500, 2x_1+2x_2+x_3\leq2500, 4x_1+2x_2+x_3\leq2000, x_1,x_2,x_3\geq0$ .

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Problem 3107

Solve for the value of the expression $6: 3(3+3)$ .

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Problem 3108

Find $x$ such that $f(x) = -x - 8 = -16$ .

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Problem 3109

Find the fixed points of the quadratic function $f(x) = x^2 - x - 1$ .

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Problem 3110

Luke visits the Science Center every $3$ months. Find the number of times he visits in $1$ year.

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Problem 3111

Find the growth factor given the annual rate of increase is $45\%$ .

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Problem 3112

Find the present value of a $\$72$ quarterly payment for 5 years at an 8% annual interest rate compounded quarterly.

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Problem 3113

Julissa has 8 yards of fabric. Each blanket needs $\frac{2}{3}$ yard of fabric. How many blankets can she make?

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Problem 3114

Solve for x in the equation $-6.4 = x + 4.3$ .

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Problem 3115

Find the number of necklaces Ian needs to sell to break even, given an initial $450 investment,$ 1 per necklace cost, and $10 sale price.

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Problem 3116

Rewrite scientific notation problems: $27, 607, 3507, 0.01, 0.0085, 8.1\times 10^{-6}$ , $419, 4126, 7053, 0.68, 4.9\times 10^{-3}, 8.07\times 10^{-9}$ , $810, 8540, 8.56\times 10^{5}, 4.8\times 10^{-3}, 7.3\times 10^{-5}, 4.82\times 10^{8}$ .

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Problem 3117

Solve the system of linear equations using the addition method. If no solution exists, enter "NO SOLUTION". Use $x$ and $y$ as needed. $\begin{array}{l} \frac{2}{5} x-\frac{1}{3} y=1 \\ \frac{3}{5} x+\frac{2}{3} y=5 \end{array}$

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Problem 3118

Mae loses 3 points per wrong answer on a test. How does her score change with 7 wrong answers? $-21$

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Problem 3119

Find the intersection point of 3 one-way streets using Gaussian elimination to solve the system of $x+9=y+13$ , $z+15=x+10$ , $y+23=z+24$ .

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Problem 3120

Solve the quadratic equation $20x - 16x^2 = -5$ for the value of $x$ .

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Problem 3121

Find the polynomial expression for $D-C$ , where $C=3y^2+4y+4$ and $D=-7y^2+3y-6$ .

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Problem 3122

Simplify the fraction $\frac{\sqrt{12}}{\sqrt{3}-3}$ and choose the equivalent expression.

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Problem 3123

Solve the linear equation $1.1x + 2.2 = -12.1$ .

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Problem 3124

Determine the slope of the ordered pairs $(-5,-1)$ and $(-1,7)$ and select the corresponding graph.

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Problem 3125

Find the standard form of the expression 4-3.

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Problem 3126

Find the value of $x$ that satisfies the equation $\frac{x}{6}=12$ .

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Problem 3127

Graph the equation $y = (x + 18)^2 - 8$ .

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Problem 3128

Given $c(x-5)=14$ , find the value of $x$ . (A) $x=-14/c+5$ (B) $x=5c+14$ (C) $x=19c$ (D) $x=14/c+5$

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Problem 3129

Solve the quadratic equation $\frac{w^{2}}{2} - \frac{w}{1} = \frac{3}{4}$ for the variable $w$ .

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Problem 3130

Test if the percentage of commercial truck drivers with sleep apnea is not $3.5\%$ , using a sample of 308 drivers with 19 cases. Use a 0.05 significance level.

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Problem 3131

Solve for variable $h$ in the formula $f=6gh$ .

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Problem 3132

Solve for the unknown number $x$ in the equation: $3x - 6 = 2x + 7$ .

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Problem 3133

Calculate the sum of 52,798, 62,874, and -27,467 and round the result to 2 significant figures.

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Problem 3134

Solve the linear equation $\frac{x}{10} = -9$ for the unknown variable $x$ .

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Problem 3135

Find the vertex of the quadratic equation $y = (5x^2 - 40x) + 6$ .

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Problem 3136

Solve the linear equation $x + 2 = 6$ for the value of $x$ .

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Problem 3137

Find the number of solutions to the linear equation $-10-6y = -6y + 5$ .

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Problem 3138

Evaluate $f \circ g \circ h(16)$ where $f(x) = x^2 + 9$ , $g(x) = x - 5$ , and $h(x) = \sqrt{x}$ .

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Problem 3139

Solve $9^{x}=27$ . Find the value of $x$ .

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Problem 3140

Estimate the product of two decimal numbers rounded to the nearest whole number. $4.8 \times 4.2 \approx \square$

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Problem 3141

Identify the other members of the fact family with $4+8=12$ . Select all that apply: $8-4=-(4-8)$ , $12-8=4$ , $8+4=12$ , $12-4=8$ .

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Problem 3142

Identify the point that represents the ordered pair $\left(5,-2\right)$ .

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Problem 3143

Complete the synthetic division table for the polynomial $-1 + 0x + 11x^2 - 20x^3$ divided by $-4$ .

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Problem 3144

Solve basic math problems: $6 \times 2$ , $4 \times 2 \div 8$ , $2 \times 2$ .

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Problem 3145

Solve the linear system $-x+2y=-6$ using substitution method.

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Problem 3146

Find the particular solution form using the method of undetermined coefficients for $y'''+ 4y'' - 5y = xe^x + 11x$ . The form is $y_p(x) = A x e^x + B x$ .

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Problem 3147

Find the inverse function $f^{-1}(x)$ of $f(x)=9+\sqrt{5x-3}$ .

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Problem 3148

Find the value of $x$ that satisfies the equation $-\frac{x}{8}=7$ . The solution set is { $-56$ }.

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Problem 3149

Find the lower and upper bounds of the mass of chemicals after a $7.3 \mathrm{~g}$ decrease from an initial $62 \mathrm{~g}$ , rounded to 2 significant figures.

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Problem 3150

Find the dimension on a combination square to place a nail at the center of a 3/4" board. $1/8$ , $1/4$ , $3/8$ , $7/16$

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Problem 3151

Find the resistance $R_2$ in a Wheatstone bridge given $R_1=4.0 \Omega$ , $R_3=87.50 \Omega$ , and $R_4=21.00 \Omega$ using the relation $\frac{R_1}{R_2}=\frac{R_3}{R_4}$ . Round the answer to two decimal places.

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Problem 3152

Solve the inequality $y + \frac{5}{8} > \frac{1}{4}$ and simplify the solution for $y$ .

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Problem 3153

Solve the inequality $3(4-x)>6$ . The solution is $x>2$ .

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Problem 3154

Find the value of $\tan (\pi+x)$ when $\tan x = -0.5$ .

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Problem 3155

Select the correct statement about the radical function $f(x)=3 \sqrt[3]{-x}+2$ . A) Strictly increasing B) Strictly decreasing C) Increasing and decreasing D) Constant

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Problem 3156

Bao's miles driven is directly proportional to gallons used. Find miles driven on 20 gallons given data.

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Problem 3157

Given $6>-2$ , is 6 to the right or left of -2 on the number line?

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Problem 3158

Find the value of $z$ that satisfies the equation $3z - 9 = 12$ .

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Problem 3159

Solve the quadratic equation $3n^2 + 5n = 12$ for the value of $n$ .

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Problem 3160

4. Which statement about $31 \times 5$ and $5 \times 31$ is TRUE? Their products are different, the same, 0, or 1?

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Problem 3161

Compare the values of $\frac{1}{5}$ and $0.5$ . Determine which number is greater.

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Problem 3162

Solve for the variable $v$ in the equation $\frac{v}{2} = 12$ .

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Problem 3163

Find the sum of $(-7a - 3b)$ and $9a$ . Enter the correct answer.

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Problem 3164

If the discriminant of an equation is positive, the equation has $\textbf{two real solutions}$ .

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Problem 3165

Find the sum of 28 and 51.

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Problem 3166

Berechne den Wert von $8^{0}$ .

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Problem 3167

Find the product and the domain of $\frac{5a}{5a+5} \cdot (10a+10)$ and $\frac{x^2-5x}{x^2-3x} \cdot \frac{x+3}{x-5}$ .

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Problem 3168

Solve the linear equation $3009+r=7090$ for $r$ . Find all real solutions.

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Problem 3169

Solve the absolute value equation $|3x+5| = 1$ for the value of $x$ .

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Problem 3170

Solve the equation $8 v - 15 = 9$ and express the result as an integer, simplified fraction, or decimal rounded to two decimal places.

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Problem 3171

Find the value of $y$ that satisfies the equation $10y + 1 = 51$ .

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Problem 3172

Laura pumps water into an aquarium at 13 L/min. The aquarium starts with 25 L. Solve the inequality $13x+25 \leq 298$ for the number of minutes $x$ she pumps.

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Problem 3173

Find the dimensions of a rectangle with upper-left coordinates $(-4,4)$ and upper-right coordinates $(4,4)$ that has a perimeter of 20 units.

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Problem 3174

Find all times (in seconds) when a ball thrown with initial height 6 ft and velocity 44 ft/s reaches a height of 26 ft. Solve the quadratic equation $h = 6 + 44t - 16t^2 = 26$ to find $t$ .

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Problem 3175

Given parallel lines $m$ and $n$ , find the relationship between the angles $(6x + 5)$ and $(5x - 12)$ and solve for $x$ .

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Problem 3176

Rewrite each equation in the form $y=a(x-h)^2+k$ by completing the square: a) $y=x^2+6x-1$ , b) $y=x^2+10x+20$ .

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Problem 3177

Determine if $v=10$ is a solution to the equation $0.2v=1.2$ .

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Problem 3178

Find the equation for the problem: When 296 is decreased by $11x$ , the result is 21. Solve for $x$ and check two answers.

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Problem 3179

Determine the parity of the function $g(x) = -2x^4 + 5x^2$ .

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Problem 3180

Find the difference equivalent to $9(x-y)$ .

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Problem 3181

Find the discriminant of the quadratic equation $4x^2 - 12x - 6 = 0$ .

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Problem 3182

Calcul de l'intégrale de $f(x) = \sqrt{x^2 - 2x}$ sur $[2, 5]$ par la méthode de Simpson avec 6 sous-intervalles. Donnez l'approximation à 3 décimales près.

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Problem 3183

Solve $3(2 g+2.5)=15.9$ for $g$ . Determine if the given solution is correct and find the correct value of $g$ .

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Problem 3184

Find the annual percentage yield (APY) for a $3\%$ nominal rate compounded quarterly. The APY is $3.04\%$.

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Problem 3185

Solve linear equations with one variable. Click to show solutions for -75, -3, and other values.

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Problem 3186

Find the point that satisfies the equation $y=8\left(\frac{1}{4}\right)^{x}$ . Options: $(-2,0)$ , $(-1,-2)$ , $(1,2)$ , $(2,1)$ .

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Problem 3187

Prove the trigonometric identity: $\cos \theta \cdot \csc \theta=\cot \theta$ .

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Problem 3188

Find $\angle B$ using the Law of Sines given $\angle A=41^{\circ}$ , $\angle C=69^{\circ}$ , and $b=16$ . Round to two decimal places.

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Problem 3189

Solve $(x+6)(x-6)=0$ for $x$ , express answer in reduced fraction form.

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Problem 3190

Convert $70 \mathrm{m}^{2}$ to $\mathrm{yd}^{2}$ using dimensional analysis, rounding to 2 decimal places.

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Problem 3191

Find the probability that a randomly selected cedar tree will grow less than 8 inches in a given year, given the annual growth is uniformly distributed between 6 and 13 inches. Round the answer to four decimal places.
$P(X<8)=$

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Problem 3192

Solve $7 x^{2} + 1 = -4 x$ over complex numbers. Solution set is $x = \frac{-1 \pm \sqrt{1 - 28}}{14}$ .

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Problem 3193

Find the digits A, B, and C that solve the addition problem.

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Problem 3194

Solve linear equation $-\frac{1}{9} x + 3 = 0$ to find the value of $x$ .

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Problem 3195

Given the point $(7,3)$ on the graph of an equation, the statement that must be true is: $x=7$ and $y=3$ make the equation true.

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Problem 3196

Use the empirical rule to estimate the number of farms with land and building values per acre between $\$ 1300$ and $\$ 2100$ , given a sample of 72 farms with mean $\$ 1700$ and standard deviation $\$ 200$ .

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Problem 3197

Solve the quadratic equation $10=x^{2}-3x$ for the value of $x$ .

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Problem 3198

Find the nearest integer to $\sqrt{59}$ .

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Problem 3199

Find a vector $\mathbf{v}$ with magnitude 4, where the $\mathbf{i}$ component is twice the $\mathbf{j}$ component.

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Problem 3200

7. Find $m$ such that $\frac{2 x}{m}+\frac{3 a}{x}=\frac{5}{c}$
8. Solve $x^{2}=7-8 x$ by completing the square
9. Solve $189 x=3 x^{3}+6 x^{2}$ by factoring
10. Solve $7=2+\sqrt{x+3}$
11. Solve $3 x^{0}-4 x\left(-1-3^{0}\right)=5(x+3)$

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Math

Problem 3101

Find the positive value of xxx where the ratio x:50x: 50x:50 is equivalent to the ratio 8:x8: x8:x.

Problem 3102

Compute the product 3w(3w2+5)3w(3w^2 + 5)3w(3w2+5) and simplify the result.

Problem 3103

Find the limit of the rational function (x2−7x+12)/(x−3)(x^2 - 7x + 12) / (x - 3)(x2−7x+12)/(x−3) as xxx approaches 3, or state if the limit does not exist.

Problem 3104

Find the solution set for the inequality 4x+3≤x−74x + 3 \leq x - 74x+3≤x−7.

Problem 3105

Calculate the purchase price of a 26-week T-bill with a $1000 maturity value and 5.25% annual interest rate, rounded to the nearest cent using 360 days.

Problem 3106

Problem 3107

Solve for the value of the expression 6:3(3+3)6: 3(3+3)6:3(3+3).

Problem 3108

Find xxx such that f(x)=−x−8=−16f(x) = -x - 8 = -16f(x)=−x−8=−16.

Problem 3109

Find the fixed points of the quadratic function f(x)=x2−x−1f(x) = x^2 - x - 1f(x)=x2−x−1.

Problem 3110

Luke visits the Science Center every 333 months. Find the number of times he visits in 111 year.

Problem 3111

Find the growth factor given the annual rate of increase is 45%45\%45%.

Problem 3112

Find the present value of a $72\$72$72 quarterly payment for 5 years at an 8% annual interest rate compounded quarterly.

Problem 3113

Julissa has 8 yards of fabric. Each blanket needs 23\frac{2}{3}32​ yard of fabric. How many blankets can she make?

Problem 3114

Solve for x in the equation −6.4=x+4.3-6.4 = x + 4.3−6.4=x+4.3.

Problem 3115

Find the number of necklaces Ian needs to sell to break even, given an initial 450investment,450 investment, 450investment,1 per necklace cost, and $10 sale price.

Problem 3116

Problem 3117

Solve the system of linear equations using the addition method. If no solution exists, enter "NO SOLUTION". Use xxx and yyy as needed. 25x−13y=135x+23y=5 \begin{array}{l} \frac{2}{5} x-\frac{1}{3} y=1 \\ \frac{3}{5} x+\frac{2}{3} y=5 \end{array} 52​x−31​y=153​x+32​y=5​

Problem 3118

Mae loses 3 points per wrong answer on a test. How does her score change with 7 wrong answers? −21-21−21

Problem 3119

Find the intersection point of 3 one-way streets using Gaussian elimination to solve the system of x+9=y+13x+9=y+13x+9=y+13, z+15=x+10z+15=x+10z+15=x+10, y+23=z+24y+23=z+24y+23=z+24.

Problem 3120

Solve the quadratic equation 20x−16x2=−520x - 16x^2 = -520x−16x2=−5 for the value of xxx.

Problem 3121

Find the polynomial expression for D−CD-CD−C, where C=3y2+4y+4C=3y^2+4y+4C=3y2+4y+4 and D=−7y2+3y−6D=-7y^2+3y-6D=−7y2+3y−6.

Problem 3122

Simplify the fraction 123−3\frac{\sqrt{12}}{\sqrt{3}-3}3​−312​​ and choose the equivalent expression.

Problem 3123

Solve the linear equation 1.1x+2.2=−12.11.1x + 2.2 = -12.11.1x+2.2=−12.1.

Problem 3124

Determine the slope of the ordered pairs (−5,−1)(-5,-1)(−5,−1) and (−1,7)(-1,7)(−1,7) and select the corresponding graph.

Problem 3125

Find the standard form of the expression 4-3.

Problem 3126

Find the value of xxx that satisfies the equation x6=12\frac{x}{6}=126x​=12.

Problem 3127

Graph the equation y=(x+18)2−8y = (x + 18)^2 - 8y=(x+18)2−8.

Problem 3128

Given c(x−5)=14c(x-5)=14c(x−5)=14, find the value of xxx. (A) x=−14/c+5x=-14/c+5x=−14/c+5 (B) x=5c+14x=5c+14x=5c+14 (C) x=19cx=19cx=19c (D) x=14/c+5x=14/c+5x=14/c+5

Problem 3129

Solve the quadratic equation w22−w1=34\frac{w^{2}}{2} - \frac{w}{1} = \frac{3}{4}2w2​−1w​=43​ for the variable www.

Problem 3130

Test if the percentage of commercial truck drivers with sleep apnea is not 3.5%3.5\%3.5%, using a sample of 308 drivers with 19 cases. Use a 0.05 significance level.

Problem 3131

Solve for variable hhh in the formula f=6ghf=6ghf=6gh.

Problem 3132

Solve for the unknown number xxx in the equation: 3x−6=2x+73x - 6 = 2x + 73x−6=2x+7.

Problem 3133

Calculate the sum of 52,798, 62,874, and -27,467 and round the result to 2 significant figures.

Problem 3134

Solve the linear equation x10=−9\frac{x}{10} = -910x​=−9 for the unknown variable xxx.

Problem 3135

Find the vertex of the quadratic equation y=(5x2−40x)+6y = (5x^2 - 40x) + 6y=(5x2−40x)+6.

Problem 3136

Solve the linear equation x+2=6x + 2 = 6x+2=6 for the value of xxx.

Problem 3137

Find the number of solutions to the linear equation −10−6y=−6y+5-10-6y = -6y + 5−10−6y=−6y+5.

Problem 3138

Evaluate f∘g∘h(16)f \circ g \circ h(16)f∘g∘h(16) where f(x)=x2+9f(x) = x^2 + 9f(x)=x2+9, g(x)=x−5g(x) = x - 5g(x)=x−5, and h(x)=xh(x) = \sqrt{x}h(x)=x​.

Problem 3139

Solve 9x=279^{x}=279x=27. Find the value of xxx.

Problem 3140

Estimate the product of two decimal numbers rounded to the nearest whole number. 4.8×4.2≈□4.8 \times 4.2 \approx \square4.8×4.2≈□

Problem 3141

Find the positive value of $x$ where the ratio $x: 50$ is equivalent to the ratio $8: x$ .

Compute the product $3w(3w^2 + 5)$ and simplify the result.

Find the limit of the rational function $(x^2 - 7x + 12) / (x - 3)$ as $x$ approaches 3, or state if the limit does not exist.

Find the solution set for the inequality $4x + 3 \leq x - 7$ .

Solve for the value of the expression $6: 3(3+3)$ .

Find $x$ such that $f(x) = -x - 8 = -16$ .

Find the fixed points of the quadratic function $f(x) = x^2 - x - 1$ .

Luke visits the Science Center every $3$ months. Find the number of times he visits in $1$ year.

Find the growth factor given the annual rate of increase is $45\%$ .

Find the present value of a $\$72$ quarterly payment for 5 years at an 8% annual interest rate compounded quarterly.

Julissa has 8 yards of fabric. Each blanket needs $\frac{2}{3}$ yard of fabric. How many blankets can she make?

Solve for x in the equation $-6.4 = x + 4.3$ .

Find the number of necklaces Ian needs to sell to break even, given an initial $450 investment,$ 1 per necklace cost, and $10 sale price.

Solve the system of linear equations using the addition method. If no solution exists, enter "NO SOLUTION". Use $x$ and $y$ as needed. $\begin{array}{l} \frac{2}{5} x-\frac{1}{3} y=1 \\ \frac{3}{5} x+\frac{2}{3} y=5 \end{array}$

Mae loses 3 points per wrong answer on a test. How does her score change with 7 wrong answers? $-21$

Find the intersection point of 3 one-way streets using Gaussian elimination to solve the system of $x+9=y+13$ , $z+15=x+10$ , $y+23=z+24$ .

Solve the quadratic equation $20x - 16x^2 = -5$ for the value of $x$ .

Find the polynomial expression for $D-C$ , where $C=3y^2+4y+4$ and $D=-7y^2+3y-6$ .

Simplify the fraction $\frac{\sqrt{12}}{\sqrt{3}-3}$ and choose the equivalent expression.

Solve the linear equation $1.1x + 2.2 = -12.1$ .

Determine the slope of the ordered pairs $(-5,-1)$ and $(-1,7)$ and select the corresponding graph.

Find the value of $x$ that satisfies the equation $\frac{x}{6}=12$ .

Graph the equation $y = (x + 18)^2 - 8$ .

Given $c(x-5)=14$ , find the value of $x$ . (A) $x=-14/c+5$ (B) $x=5c+14$ (C) $x=19c$ (D) $x=14/c+5$

Solve the quadratic equation $\frac{w^{2}}{2} - \frac{w}{1} = \frac{3}{4}$ for the variable $w$ .

Test if the percentage of commercial truck drivers with sleep apnea is not $3.5\%$ , using a sample of 308 drivers with 19 cases. Use a 0.05 significance level.

Solve for variable $h$ in the formula $f=6gh$ .

Solve for the unknown number $x$ in the equation: $3x - 6 = 2x + 7$ .

Solve the linear equation $\frac{x}{10} = -9$ for the unknown variable $x$ .

Find the vertex of the quadratic equation $y = (5x^2 - 40x) + 6$ .

Solve the linear equation $x + 2 = 6$ for the value of $x$ .

Find the number of solutions to the linear equation $-10-6y = -6y + 5$ .

Evaluate $f \circ g \circ h(16)$ where $f(x) = x^2 + 9$ , $g(x) = x - 5$ , and $h(x) = \sqrt{x}$ .

Solve $9^{x}=27$ . Find the value of $x$ .

Estimate the product of two decimal numbers rounded to the nearest whole number. $4.8 \times 4.2 \approx \square$

Identify the other members of the fact family with $4+8=12$ . Select all that apply: $8-4=-(4-8)$ , $12-8=4$ , $8+4=12$ , $12-4=8$ .

Identify the point that represents the ordered pair $\left(5,-2\right)$ .

Complete the synthetic division table for the polynomial $-1 + 0x + 11x^2 - 20x^3$ divided by $-4$ .

Solve basic math problems: $6 \times 2$ , $4 \times 2 \div 8$ , $2 \times 2$ .

Solve the linear system $-x+2y=-6$ using substitution method.

Find the particular solution form using the method of undetermined coefficients for $y'''+ 4y'' - 5y = xe^x + 11x$ . The form is $y_p(x) = A x e^x + B x$ .

Find the inverse function $f^{-1}(x)$ of $f(x)=9+\sqrt{5x-3}$ .

Find the value of $x$ that satisfies the equation $-\frac{x}{8}=7$ . The solution set is { $-56$ }.

Find the lower and upper bounds of the mass of chemicals after a $7.3 \mathrm{~g}$ decrease from an initial $62 \mathrm{~g}$ , rounded to 2 significant figures.

Find the dimension on a combination square to place a nail at the center of a 3/4" board. $1/8$ , $1/4$ , $3/8$ , $7/16$

Solve the inequality $y + \frac{5}{8} > \frac{1}{4}$ and simplify the solution for $y$ .

Solve the inequality $3(4-x)>6$ . The solution is $x>2$ .

Find the value of $\tan (\pi+x)$ when $\tan x = -0.5$ .

Select the correct statement about the radical function $f(x)=3 \sqrt[3]{-x}+2$ . A) Strictly increasing B) Strictly decreasing C) Increasing and decreasing D) Constant

Given $6>-2$ , is 6 to the right or left of -2 on the number line?

Find the value of $z$ that satisfies the equation $3z - 9 = 12$ .

Solve the quadratic equation $3n^2 + 5n = 12$ for the value of $n$ .

4. Which statement about $31 \times 5$ and $5 \times 31$ is TRUE? Their products are different, the same, 0, or 1?

Compare the values of $\frac{1}{5}$ and $0.5$ . Determine which number is greater.

Solve for the variable $v$ in the equation $\frac{v}{2} = 12$ .

Find the sum of $(-7a - 3b)$ and $9a$ . Enter the correct answer.

If the discriminant of an equation is positive, the equation has $\textbf{two real solutions}$ .

Berechne den Wert von $8^{0}$ .

Find the product and the domain of $\frac{5a}{5a+5} \cdot (10a+10)$ and $\frac{x^2-5x}{x^2-3x} \cdot \frac{x+3}{x-5}$ .

Solve the linear equation $3009+r=7090$ for $r$ . Find all real solutions.

Solve the absolute value equation $|3x+5| = 1$ for the value of $x$ .

Solve the equation $8 v - 15 = 9$ and express the result as an integer, simplified fraction, or decimal rounded to two decimal places.

Find the value of $y$ that satisfies the equation $10y + 1 = 51$ .

Laura pumps water into an aquarium at 13 L/min. The aquarium starts with 25 L. Solve the inequality $13x+25 \leq 298$ for the number of minutes $x$ she pumps.

Find the dimensions of a rectangle with upper-left coordinates $(-4,4)$ and upper-right coordinates $(4,4)$ that has a perimeter of 20 units.

Find all times (in seconds) when a ball thrown with initial height 6 ft and velocity 44 ft/s reaches a height of 26 ft. Solve the quadratic equation $h = 6 + 44t - 16t^2 = 26$ to find $t$ .