Browse Math problems in the Studdy Learning Bank!

Problem 4201

Convert 55 pounds to kilograms using ratios and proportions. $1 \text{ kilogram} = 2.2 \text{ pounds}$

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Problem 4202

Find all values of $x$ that satisfy the system of equations $y_1 = x + 7$ , $y_2 = x - 5$ , and $y_1y_2 = 13$ .

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Problem 4203

Solve $5^{7 x+4}=3^{x+2}$ for $x$ . Give the exact and decimal approximation to the nearest hundredth.

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Problem 4204

Evaluate the expression $2^{10}$ .

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Problem 4205

Find $p$ when $q=9$ and $q$ when $p=3$ , given $p$ is directly proportional to $\sqrt{q}$ and $p=5$ when $q=4$ .

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Problem 4206

Find the monthly cost for 34 minutes of calls given a linear function with a slope of $0.09$ and a cost of $\$18.58$ for 38 minutes of calls.

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Problem 4207

Find the value of $r$ in the equation $A=P(1+rt)$ , given $A=1180.80$ , $P=884.07$ , and $t=3$ .

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Problem 4208

Determine if the outcomes of guessing answers to two multiple-choice questions with 4 options each are independent or dependent.

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Problem 4209

Find the value of $x$ such that $5^{x} = 23$ .

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Problem 4210

Find demand equation $p=-\frac{1}{9}x+200$ and revenue function $R(x)=-\frac{1}{9}x^{2}+200x$ . Determine domain of $R(x)$ .

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Problem 4211

Solve the linear equation $28=-9w-8+5w$ for $w$ and simplify the answer.

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Problem 4212

Find the number of general admission and reserved seating tickets sold, given the total receipts of $\$ 7031.00$ for 1358 paid admissions with $\$ 4.50$ for general and $\$ 7.00$ for reserved seats.

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Problem 4213

Find $m$ in the equation $2701 = m^3$ .

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Problem 4214

Evaluate the expression $3 a^{2} + 2 b^{2}$ given $a = -3$ and $b = 6$ .

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Problem 4215

Solve the exponential equation $7 e^{3 x} = 8 e^{6 x}$ for the value of $x$ .

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Problem 4216

Solve the absolute value equation $11 \cdot |5-3x| = 3$ for $x$ .

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Problem 4217

Solve the equation $10x - (9x - 11) = 6x + 16$ and find the value of $x$ .

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Problem 4218

Determine if the group $Z_{6}=\{0,1,2,3,4,5\}$ under addition is cyclic.

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Problem 4219

Solve the equation $3(2 x+1)=-4(\\frac{1}{4} x-1)$ and simplify the solution $x=[?]$ .

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Problem 4220

Convert $\frac{35}{4}$ to decimal form rounded to nearest thousandth.

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Problem 4221

Two trains leave stations 306 miles apart at the same time, one at 80 mph and the other at 90 mph. How long until they meet?

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Problem 4222

Solve the system of 3 linear equations in 3 variables: $-3x+4y+2z=-28, x+5y-4z=-6, 4x+y-6z=22$ .

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Problem 4223

Find the value of $m$ in the equation $19^{\frac{3}{7}}=(\sqrt[m]{19})^{3}$ .

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Problem 4224

Find the term that completes the statement: "An equation that is true for all real numbers for which both sides are defined is called a(n) $\underline{\hspace{2cm}}$ ."

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Problem 4225

Plane's landing height is $22,000+(-480 t)$ ft, where $t$ is time in minutes. Estimate the landing time to the nearest hundredth minute.

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Problem 4226

Write an inequality for the statement: "Ten is at least the product of a number $h$ and 5."
The inequality is: $10 \geq 5h$

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Problem 4227

Find the best predicted IQ score $\hat{y}$ for a wife given her husband's IQ of $97$ , using a significance level of $0.05$ , where $\bar{x}=101.08$ , $\bar{y}=101.25$ , $r=0.825$ , and $\hat{y}=10.2+0.9x$ .

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Problem 4228

Solve for $y$ in the equation $8x - 3 = 5 + 4y$ .

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Problem 4229

Find the value of $1+2$ .

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Problem 4230

Solve for $x$ in the equation $-u = b - c - x$ .

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Problem 4231

Identify an absolute value equation with solutions $x=3.4$ and $x=9.4$ .

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Problem 4232

Solve the linear equation $4x + 2 = 6$ and represent the solution using a 3x2 table.

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Problem 4233

Rewrite a two-variable equation equivalent to the function $f(x) = -2(x-4)$ .

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Problem 4234

Find the value of the expression $4(x-1)+2(3-x)-4$ .

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Problem 4235

Solve the equation $|4 x-1|=6$ for $x$ .

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Problem 4236

Find the value of $4^3$ .

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Problem 4237

Find the value of $b$ that satisfies the equation $-6=0.2b$ .

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Problem 4238

Prove that $3.6057$ is a rational number by expressing it as a ratio of two integers.

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Problem 4239

Solve the equation $|3x-4|=18$ to find the possible values of $x$ .

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Problem 4240

Find the value of $g(-4)$ for the function $g(x) = 3 - 6x$ .

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Problem 4241

Solve the linear equation $3n + 1 = 0$ for the value of $n$ .

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Problem 4242

For a survey of 18-year-old males, find the weights representing the 99th, 43rd, and first quartile percentiles given a mean of $167.5$ pounds and a standard deviation of $48.6$ pounds.

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Problem 4243

Find the r-value with the strongest negative correlation: $-0.9$ , $-0.6$ , $-0.7$ , or $-0.8$ .

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Problem 4244

Find the probability that two randomly selected drive-thru orders are both accurate given the data in the table. Assume the selections are made with replacement. Determine if the events are independent.
a. The probability is $\frac{(336 \times 260)}{(336 + 33) \times (260 + 50)}$ . The events are independent.

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Problem 4245

Chocolate bar with 61% cocoa weighs 97 grams. Find the grams of cocoa, rounded to nearest tenth.
$61\%$ of $97$ grams

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Problem 4246

Find values of $x$ that are not solutions to the inequality $x + 2.8 \leq 9.3$ .

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Problem 4247

Find the calculator approximation of $\sec(8.0032)$ in radian mode.

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Problem 4248

Find the expression equivalent to $\frac{5}{\sqrt{13}}$ .

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Problem 4249

Solve the equation for y: $24=4 \cdot 2+y$

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Problem 4250

Find the total number of books on a bookcase with 3 shelves, where each shelf has $m$ books.

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Problem 4251

Rewrite the exponential function $f(x) = 10^x$ using the natural exponential base $e$ .

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Problem 4252

Find the derivative of $y=4u^4+2$ with respect to $x$ , where $u=3\sqrt{x}$ , using the chain rule: $\frac{dy}{dx}=\frac{dy}{du}\frac{du}{dx}$ .

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Problem 4253

Find the number where two-sevenths of it is -10.

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Problem 4254

Simplify the complex fraction $\frac{5}{(3+i)(6-i)}$ and write the result in standard form.

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Problem 4255

Solve for the value of $b$ given the linear equation $\frac{y-b}{x-a}=m$ .

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Problem 4256

Simplify the expression $-8(z+1)+2(z+4)$ using the distributive property and combining like terms.

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Problem 4257

Solve the rational equation $\frac{4}{x-3}+\frac{5}{x-6}=\frac{x^{2}-25}{x^{2}-9x+18}$ and simplify the solution set.

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Problem 4258

Solve $n + 7.1 = 8.6$ . Round your answer to the nearest tenth.

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Problem 4259

Gegeben ist eine Bushaltestelle mit quadratischem Dach, dessen Funktion $f(x)=-\frac{2}{9}x^2+0.5$ ist. Die Breite ist 3 m, Höhe ohne Dach 2 m, mit Dach 2.5 m, Tiefe 1 m. Bestimmen Sie die Koeffizienten des Dachprofils und das Volumen des Häuschens.

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Problem 4260

Determine if the proportion $6: 8 = 33: 44$ is true or false.

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Problem 4261

Solve the linear equation $7y - 21 = 0$ for the unknown variable $y$ .

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Problem 4262

Write a single power of 10 for $10^{-3} \cdot 10^{2}$ .

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Problem 4263

Rewrite $7 x^{4} = 7000 x$ in factored form. Find the solution set. Choose A) The solution set is $x = 0, x = 10, x = -10 + 10i, x = -10 - 10i$ or B) No solution.

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Problem 4264

Rewrite the linear equation $y = 4x + 5$ in standard form using integers.

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Problem 4265

Solve the equation $-2(8-7x)-(1-x)=2(x-5)$ and check your answer.

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Problem 4266

Solve the rational equation $\frac{16}{8x-8}+\frac{1}{8}=\frac{2}{x-1}$ and find the valid solutions.

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Problem 4267

Evaluate $5.3 \div (-8.4)$ and express the answer to the nearest tenth.

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Problem 4268

Subtract the expressions: $3x + 7 - (5x - 2)$ .

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Problem 4269

Find the percentile for the data value $125$ in the given set: $119, 131, 123, 117, 125, 127, 117, 115, 122, 119, 123, 133, 115, 119, 121, 116$ .

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Problem 4270

Find the value of $t$ when $v=100$ in the quadratic equation $v=0.1 t^{2}+60$ .

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Problem 4271

Convert the linear equation $7x + 8y = 16$ to slope-intercept form $y = -\frac{7}{8}x + 2$ .

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Problem 4272

Rewrite $16y^3 - 3 = y - 48y^2$ in factored form. Find the solution set. $(y+3)(4y-1)(4y+1)=0$ A. The solution set is $-3, \frac{1}{4}, -\frac{1}{4}$ .

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Problem 4273

Solve for $x$ in the equations: $\frac{1}{3} \cdot 3 \cdot x = 4 \cdot 3$ and $-4 x-15=15-6 x$ .

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Problem 4274

Determine the principal cycle, period, vertical asymptotes, center, and halfway points of $y=\tan(\frac{1}{6}x-\pi)$ . Sketch the graph.
The interval of the principal cycle is $[-\pi,\pi]$ . The period is $6\pi$ . The equation of the left vertical asymptote is $x=\frac{7\pi}{3}$ and the right is $x=\frac{11\pi}{3}$ . The coordinates of the center point are $\left(3\pi,0\right)$ . The coordinates of the left-most halfway point are $\left(\frac{\pi}{3},0\right)$ . The coordinates of the right-most halfway point are $\left(\frac{5\pi}{3},0\right)$ .

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Problem 4275

Analyze the trend in women's finishers at the NYC Marathon from 1997 to 2001 using a scatter plot and describe any relationship.

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Problem 4276

Solve the quadratic equation $4x(x-4)=24$ by completing the square.

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Problem 4277

Use a linear approximation to estimate $(3.01)^{3}$ .

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Problem 4278

Find the product of 46 and 3.

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Problem 4279

Simplify the expression $\frac{6x^2}{60x^3}$ .

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Problem 4280

Find $\frac{8^{x}}{32^{y}}$ given $3x-5y=2$ .

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Problem 4281

Solve for $q$ in the equation $3p + 4 = 6 - q$ . Simplify the solution.

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Problem 4282

Solve $|2x-2| + |x-1| = 6$ graphically. Find the solution set. A. $\{-1,3\}$ B. The solution set is the set of real numbers. C. The solution set is the empty set.

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Problem 4283

Simplify the expression $\frac{a^{8}}{a^{-8}}$ .

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Problem 4284

Find the sum of $x \sqrt{5}$ and $4x \sqrt{5}$ .

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Problem 4285

Which statements are simple? Choose all that apply: $16$ is not prime, $5$ is odd or $16$ is even, $100$ is even, $5 < 10$ .

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Problem 4286

Find the values of $x$ between $0$ and $4\pi$ where $\cos x = \frac{1}{2}$ . List the answers in ascending order.

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Problem 4287

Find the fraction and percentage of people who said comedy films were their favourite in a pie chart with 10 equal slices, 4 of which represent comedy films.
a) Fraction = $\frac{4}{10}$ b) Percentage = $\frac{4}{10} \times 100 = 40\%$

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Problem 4288

Find the slope of the line passing through the points $(-2,1)$ and $(3,2)$ .

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Problem 4289

Finden Sie die Normalform der Funktion $y = 2(x+1)^2 - 3$ .

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Problem 4290

Find the value of $y=3x-1$ when $x=-1$ .

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Problem 4291

In a survey of 254 students, $86\%$ enjoyed their classes. Find the margin of error, rounded to the nearest tenth of a percent.

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Problem 4292

Find the product of 2.8 and -1 2/5. Write the answer as a decimal or simplified fraction.

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Problem 4293

Equation to represent tire pressure $y$ (psi) after $x$ months, where initial pressure is 34 psi and pressure decreases by 2 psi per month.
(D) $y=-2x+34$

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Problem 4294

Determine if the equation $-g = -6 - g$ is an identity.

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Problem 4295

Simplify the expression $-2(n-9)+4$ .

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Problem 4296

Find $\sin(A/2)$ given $\sin(A) = 4/5$ and $0^\circ < A < 360^\circ$ in the first quadrant.

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Problem 4297

Find real solutions to the equation $\frac{5}{x^{2}-5x}-\frac{1}{x^{2}-25}=0$ .

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Problem 4298

Find the degrees of freedom for the given t-interval: $\bar{x}=17.598$ , $s_x=16.01712719$ , $n=50$ .

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Problem 4299

Find the new price of an item originally priced at $\$ 25$ after an $80\%$ discount.

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Problem 4300

Solve the inequality $\frac{8}{2} + b > \frac{23}{16}$ . Enter the solution as an interval, using "oo" for $\infty$ , and fractions in reduced form.

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Math

Problem 4201

Convert 55 pounds to kilograms using ratios and proportions. 1 kilogram=2.2 pounds1 \text{ kilogram} = 2.2 \text{ pounds}1 kilogram=2.2 pounds

Problem 4202

Find all values of xxx that satisfy the system of equations y1=x+7y_1 = x + 7y1​=x+7, y2=x−5y_2 = x - 5y2​=x−5, and y1y2=13y_1y_2 = 13y1​y2​=13.

Problem 4203

Solve 57x+4=3x+25^{7 x+4}=3^{x+2}57x+4=3x+2 for xxx. Give the exact and decimal approximation to the nearest hundredth.

Problem 4204

Evaluate the expression 2102^{10}210.

Problem 4205

Find ppp when q=9q=9q=9 and qqq when p=3p=3p=3, given ppp is directly proportional to q\sqrt{q}q​ and p=5p=5p=5 when q=4q=4q=4.

Problem 4206

Find the monthly cost for 34 minutes of calls given a linear function with a slope of 0.090.090.09 and a cost of $18.58\$18.58$18.58 for 38 minutes of calls.

Problem 4207

Find the value of rrr in the equation A=P(1+rt)A=P(1+rt)A=P(1+rt), given A=1180.80A=1180.80A=1180.80, P=884.07P=884.07P=884.07, and t=3t=3t=3.

Problem 4208

Determine if the outcomes of guessing answers to two multiple-choice questions with 4 options each are independent or dependent.

Problem 4209

Find the value of xxx such that 5x=235^{x} = 235x=23.

Problem 4210

Find demand equation p=−19x+200p=-\frac{1}{9}x+200p=−91​x+200 and revenue function R(x)=−19x2+200xR(x)=-\frac{1}{9}x^{2}+200xR(x)=−91​x2+200x. Determine domain of R(x)R(x)R(x).

Problem 4211

Solve the linear equation 28=−9w−8+5w28=-9w-8+5w28=−9w−8+5w for www and simplify the answer.

Problem 4212

Find the number of general admission and reserved seating tickets sold, given the total receipts of $7031.00\$ 7031.00$7031.00 for 1358 paid admissions with $4.50\$ 4.50$4.50 for general and $7.00\$ 7.00$7.00 for reserved seats.

Problem 4213

Find mmm in the equation 2701=m32701 = m^32701=m3.

Problem 4214

Evaluate the expression 3a2+2b23 a^{2} + 2 b^{2}3a2+2b2 given a=−3a = -3a=−3 and b=6b = 6b=6.

Problem 4215

Solve the exponential equation 7e3x=8e6x7 e^{3 x} = 8 e^{6 x}7e3x=8e6x for the value of xxx.

Problem 4216

Solve the absolute value equation 11⋅∣5−3x∣=311 \cdot |5-3x| = 311⋅∣5−3x∣=3 for xxx.

Problem 4217

Solve the equation 10x−(9x−11)=6x+1610x - (9x - 11) = 6x + 1610x−(9x−11)=6x+16 and find the value of xxx.

Problem 4218

Determine if the group Z6={0,1,2,3,4,5}Z_{6}=\{0,1,2,3,4,5\}Z6​={0,1,2,3,4,5} under addition is cyclic.

Problem 4219

Solve the equation 3(2x+1)=−4(frac14x−1)3(2 x+1)=-4(\\frac{1}{4} x-1)3(2x+1)=−4(frac14x−1) and simplify the solution x=[?]x=[?]x=[?].

Problem 4220

Convert 354\frac{35}{4}435​ to decimal form rounded to nearest thousandth.

Problem 4221

Two trains leave stations 306 miles apart at the same time, one at 80 mph and the other at 90 mph. How long until they meet?

Problem 4222

Solve the system of 3 linear equations in 3 variables: −3x+4y+2z=−28,x+5y−4z=−6,4x+y−6z=22-3x+4y+2z=-28, x+5y-4z=-6, 4x+y-6z=22−3x+4y+2z=−28,x+5y−4z=−6,4x+y−6z=22.

Problem 4223

Find the value of mmm in the equation 1937=(19m)319^{\frac{3}{7}}=(\sqrt[m]{19})^{3}1973​=(m19​)3.

Problem 4224

Find the term that completes the statement: "An equation that is true for all real numbers for which both sides are defined is called a(n) ‾\underline{\hspace{2cm}}​."

Problem 4225

Plane's landing height is 22,000+(−480t)22,000+(-480 t)22,000+(−480t) ft, where ttt is time in minutes. Estimate the landing time to the nearest hundredth minute.

Problem 4226

Write an inequality for the statement: "Ten is at least the product of a number hhh and 5."The inequality is: 10≥5h10 \geq 5h10≥5h

Problem 4227

Find the best predicted IQ score y^\hat{y}y^​ for a wife given her husband's IQ of 979797, using a significance level of 0.050.050.05, where xˉ=101.08\bar{x}=101.08xˉ=101.08, yˉ=101.25\bar{y}=101.25yˉ​=101.25, r=0.825r=0.825r=0.825, and y^=10.2+0.9x\hat{y}=10.2+0.9xy^​=10.2+0.9x.

Problem 4228

Solve for yyy in the equation 8x−3=5+4y8x - 3 = 5 + 4y8x−3=5+4y.

Problem 4229

Find the value of 1+21+21+2.

Problem 4230

Solve for xxx in the equation −u=b−c−x-u = b - c - x−u=b−c−x.

Problem 4231

Identify an absolute value equation with solutions x=3.4x=3.4x=3.4 and x=9.4x=9.4x=9.4.

Problem 4232

Solve the linear equation 4x+2=64x + 2 = 64x+2=6 and represent the solution using a 3x2 table.

Problem 4233

Rewrite a two-variable equation equivalent to the function f(x)=−2(x−4)f(x) = -2(x-4)f(x)=−2(x−4).

Problem 4234

Find the value of the expression 4(x−1)+2(3−x)−44(x-1)+2(3-x)-44(x−1)+2(3−x)−4.

Problem 4235

Solve the equation ∣4x−1∣=6|4 x-1|=6∣4x−1∣=6 for xxx.

Problem 4236

Find the value of 434^343.

Problem 4237

Find the value of bbb that satisfies the equation −6=0.2b-6=0.2b−6=0.2b.

Problem 4238

Prove that 3.60573.60573.6057 is a rational number by expressing it as a ratio of two integers.

Problem 4239

Solve the equation ∣3x−4∣=18|3x-4|=18∣3x−4∣=18 to find the possible values of xxx.

Problem 4240

Convert 55 pounds to kilograms using ratios and proportions. $1 \text{ kilogram} = 2.2 \text{ pounds}$

Find all values of $x$ that satisfy the system of equations $y_1 = x + 7$ , $y_2 = x - 5$ , and $y_1y_2 = 13$ .

Solve $5^{7 x+4}=3^{x+2}$ for $x$ . Give the exact and decimal approximation to the nearest hundredth.

Evaluate the expression $2^{10}$ .

Find $p$ when $q=9$ and $q$ when $p=3$ , given $p$ is directly proportional to $\sqrt{q}$ and $p=5$ when $q=4$ .

Find the monthly cost for 34 minutes of calls given a linear function with a slope of $0.09$ and a cost of $\$18.58$ for 38 minutes of calls.

Find the value of $r$ in the equation $A=P(1+rt)$ , given $A=1180.80$ , $P=884.07$ , and $t=3$ .

Find the value of $x$ such that $5^{x} = 23$ .

Find demand equation $p=-\frac{1}{9}x+200$ and revenue function $R(x)=-\frac{1}{9}x^{2}+200x$ . Determine domain of $R(x)$ .

Solve the linear equation $28=-9w-8+5w$ for $w$ and simplify the answer.

Find the number of general admission and reserved seating tickets sold, given the total receipts of $\$ 7031.00$ for 1358 paid admissions with $\$ 4.50$ for general and $\$ 7.00$ for reserved seats.

Find $m$ in the equation $2701 = m^3$ .

Evaluate the expression $3 a^{2} + 2 b^{2}$ given $a = -3$ and $b = 6$ .

Solve the exponential equation $7 e^{3 x} = 8 e^{6 x}$ for the value of $x$ .

Solve the absolute value equation $11 \cdot |5-3x| = 3$ for $x$ .

Solve the equation $10x - (9x - 11) = 6x + 16$ and find the value of $x$ .

Determine if the group $Z_{6}=\{0,1,2,3,4,5\}$ under addition is cyclic.

Solve the equation $3(2 x+1)=-4(\\frac{1}{4} x-1)$ and simplify the solution $x=[?]$ .

Convert $\frac{35}{4}$ to decimal form rounded to nearest thousandth.

Solve the system of 3 linear equations in 3 variables: $-3x+4y+2z=-28, x+5y-4z=-6, 4x+y-6z=22$ .

Find the value of $m$ in the equation $19^{\frac{3}{7}}=(\sqrt[m]{19})^{3}$ .

Find the term that completes the statement: "An equation that is true for all real numbers for which both sides are defined is called a(n) $\underline{\hspace{2cm}}$ ."

Plane's landing height is $22,000+(-480 t)$ ft, where $t$ is time in minutes. Estimate the landing time to the nearest hundredth minute.

Write an inequality for the statement: "Ten is at least the product of a number $h$ and 5."
The inequality is: $10 \geq 5h$

Find the best predicted IQ score $\hat{y}$ for a wife given her husband's IQ of $97$ , using a significance level of $0.05$ , where $\bar{x}=101.08$ , $\bar{y}=101.25$ , $r=0.825$ , and $\hat{y}=10.2+0.9x$ .

Solve for $y$ in the equation $8x - 3 = 5 + 4y$ .

Find the value of $1+2$ .

Solve for $x$ in the equation $-u = b - c - x$ .

Identify an absolute value equation with solutions $x=3.4$ and $x=9.4$ .

Solve the linear equation $4x + 2 = 6$ and represent the solution using a 3x2 table.

Rewrite a two-variable equation equivalent to the function $f(x) = -2(x-4)$ .

Find the value of the expression $4(x-1)+2(3-x)-4$ .

Solve the equation $|4 x-1|=6$ for $x$ .

Find the value of $4^3$ .

Find the value of $b$ that satisfies the equation $-6=0.2b$ .

Prove that $3.6057$ is a rational number by expressing it as a ratio of two integers.

Solve the equation $|3x-4|=18$ to find the possible values of $x$ .

Find the value of $g(-4)$ for the function $g(x) = 3 - 6x$ .

Solve the linear equation $3n + 1 = 0$ for the value of $n$ .

For a survey of 18-year-old males, find the weights representing the 99th, 43rd, and first quartile percentiles given a mean of $167.5$ pounds and a standard deviation of $48.6$ pounds.

Find the r-value with the strongest negative correlation: $-0.9$ , $-0.6$ , $-0.7$ , or $-0.8$ .

Chocolate bar with 61% cocoa weighs 97 grams. Find the grams of cocoa, rounded to nearest tenth.
$61\%$ of $97$ grams

Find values of $x$ that are not solutions to the inequality $x + 2.8 \leq 9.3$ .

Find the calculator approximation of $\sec(8.0032)$ in radian mode.

Find the expression equivalent to $\frac{5}{\sqrt{13}}$ .

Solve the equation for y: $24=4 \cdot 2+y$

Find the total number of books on a bookcase with 3 shelves, where each shelf has $m$ books.

Rewrite the exponential function $f(x) = 10^x$ using the natural exponential base $e$ .

Find the derivative of $y=4u^4+2$ with respect to $x$ , where $u=3\sqrt{x}$ , using the chain rule: $\frac{dy}{dx}=\frac{dy}{du}\frac{du}{dx}$ .

Simplify the complex fraction $\frac{5}{(3+i)(6-i)}$ and write the result in standard form.

Solve for the value of $b$ given the linear equation $\frac{y-b}{x-a}=m$ .

Simplify the expression $-8(z+1)+2(z+4)$ using the distributive property and combining like terms.

Solve the rational equation $\frac{4}{x-3}+\frac{5}{x-6}=\frac{x^{2}-25}{x^{2}-9x+18}$ and simplify the solution set.

Solve $n + 7.1 = 8.6$ . Round your answer to the nearest tenth.

Gegeben ist eine Bushaltestelle mit quadratischem Dach, dessen Funktion $f(x)=-\frac{2}{9}x^2+0.5$ ist. Die Breite ist 3 m, Höhe ohne Dach 2 m, mit Dach 2.5 m, Tiefe 1 m. Bestimmen Sie die Koeffizienten des Dachprofils und das Volumen des Häuschens.

Determine if the proportion $6: 8 = 33: 44$ is true or false.

Solve the linear equation $7y - 21 = 0$ for the unknown variable $y$ .

Write a single power of 10 for $10^{-3} \cdot 10^{2}$ .

Rewrite $7 x^{4} = 7000 x$ in factored form. Find the solution set. Choose A) The solution set is $x = 0, x = 10, x = -10 + 10i, x = -10 - 10i$ or B) No solution.

Rewrite the linear equation $y = 4x + 5$ in standard form using integers.

Solve the equation $-2(8-7x)-(1-x)=2(x-5)$ and check your answer.

Solve the rational equation $\frac{16}{8x-8}+\frac{1}{8}=\frac{2}{x-1}$ and find the valid solutions.

Evaluate $5.3 \div (-8.4)$ and express the answer to the nearest tenth.

Subtract the expressions: $3x + 7 - (5x - 2)$ .

Find the percentile for the data value $125$ in the given set: $119, 131, 123, 117, 125, 127, 117, 115, 122, 119, 123, 133, 115, 119, 121, 116$ .

Find the value of $t$ when $v=100$ in the quadratic equation $v=0.1 t^{2}+60$ .

Convert the linear equation $7x + 8y = 16$ to slope-intercept form $y = -\frac{7}{8}x + 2$ .

Rewrite $16y^3 - 3 = y - 48y^2$ in factored form. Find the solution set. $(y+3)(4y-1)(4y+1)=0$ A. The solution set is $-3, \frac{1}{4}, -\frac{1}{4}$ .

Solve for $x$ in the equations: $\frac{1}{3} \cdot 3 \cdot x = 4 \cdot 3$ and $-4 x-15=15-6 x$ .