Equation

Problem 12101

Find the winning time prediction for 2009 using $y=-0.02274 x+52.77$ and compare it to the actual time of 6.98 min. What is the $x$ -value for 2009? $x=$

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Problem 12102

Write a conditional from $7 x-7=42$ implies $7 x=49$ . Choose the correct option: A, B, C, or D.

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Problem 12103

Find the predicted winning time for 2009 using $y=-0.02274 x+52.77$ and compare it to the actual time of 6.98 minutes. What is $x$ for 2009? $x=$

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Problem 12104

Sean eats 3 servings of Nutella, each with $200 \mathrm{kcal}$ . How many calories from Fat did he consume? a) 297 b) 197 c) 99 d) 198

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Problem 12105

Worldwide cell phone sales data for 2009 and 2010 shows prices at \$163 (2009) and \$153 (2010).
(a) Demand equation: $q(p)=-39p+6,472$ . Predict sales at \$156. Round to nearest million.
(b) Sales decrease by 39 million units for each \$1 price increase.

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Problem 12106

Calculate total pay for Paul who plates 321 items at \$1.25 each and 154 items at \$0.75 each.

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Problem 12107

Charge \ $9 per guest, average 39 guests. Find demand$ q(p) $, revenue$ R(p) $, profit$ P(p)$, and break-even fees.

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Problem 12108

Demuestra que el producto de cuatro enteros consecutivos más uno es un cuadrado. Da 3 ejemplos y encuentra la expresión algebraica.

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Problem 12109

Rita earned a $3\%$ commission on 5 home sales. Calculate her total earnings before taxes from the following prices: \$510,000, \$625,000, \$450,000, \$780,000, \$650,000.

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Problem 12110

A container has 10 marbles: 3 blue, 2 red, 1 orange, and 4 yellow. Find the probability of selecting blue and orange.

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Problem 12111

Factor the quadratic function $f(x)=4x^{2}-9$ and find the values for $x$ in $x=-\frac{[?]}{2}; x=\frac{3}{[]}$ .

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Problem 12112

Solve the quadratic function $y=x^{2}-1$ using the square root method. Find $x= \pm[?]$ .

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Problem 12113

Complete the square to solve the quadratic: $y=x^{2}+10x+10$ . Steps: Set $y=0$ , adjust constants, add $(\frac{b}{2})^2$ , factor, solve for $x$ .

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Problem 12114

Complete the square to solve: $y=x^{2}-8x+5$ . Find $x$ values when $y=0$ .

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Problem 12115

Solve for $x$ in the equation $x^{2}-x-6=0$ . Use the quadratic formula and list the smallest solution first.

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Problem 12116

Solve for x in the equation x² - 5x - 24 = 0. Use the quadratic formula and list the smallest solution first.

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Problem 12117

A quarter falls from a 144 ft building. Use $h(t)=-16 t^{2}+144$ to find when it hits the ground. How many seconds? [?] seconds

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Problem 12118

Solve the equation $x=\sqrt{2 x+15}$ and find the value of $x$ .

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Problem 12119

Solve for $x$ in the equation $\sqrt{x}=12$ and verify your solution.

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Problem 12120

Solve the equation $7+3(x-2)=2x+10$ by applying the distributive property. What is the first step?

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Problem 12121

List the four steps to solve a linear equation from these options: isolate variable, check solution, collect terms, simplify.

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Problem 12122

Solve the equation: $\log _{3} x + \log _{3}(x-24) = 4$

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Problem 12123

Rewrite the equation $e^{x}=10$ using logarithms.

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Problem 12124

Solve the equation: $\log _{3}(x-5)+\log _{3}(x-11)=3$ .

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Problem 12125

Solve the equation: $\ln \sqrt{x+3} = 7$ .

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Problem 12126

Solve for $x$ in the equation: $2+\log _{3}(2x+5)-\log _{3}x=4$ .

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Problem 12127

Convert the logarithm $\log _{2} \frac{1}{4}$ to its equivalent exponential form.

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Problem 12128

Solve for $x$ in the equation: $\log _{3}(x+4)=-2$ .

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Problem 12129

Convert the exponential equation $5^{3}=125$ to a logarithmic form.

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Problem 12130

Rewrite the exponential equation $4^{3}=x$ using logarithms.

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Problem 12131

Find the value of $\log _{9} \frac{1}{729}$ .

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Problem 12132

Rewrite the exponential equation $4^{5 / 2}=32$ using a logarithm.

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Problem 12133

Rewrite the expression $3^{-3}$ using a logarithm.

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Problem 12134

Solve for $x$ in the equation: $e^{x+8}=2$ .

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Problem 12135

Solve the equation: $e^{3 x} = 5$

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Problem 12136

Convert the logarithmic expression to an exponent: $\ln \frac{1}{e^{4}}=-4$ .

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Problem 12137

Solve the equation $3^{x+8}=7$ and express the solution using natural logarithms.

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Problem 12138

Solve for $x$ in the equation: $\log_{2} x = 3$ .

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Problem 12139

Solve the equation $e^{x+7}=5$ and express the solution using natural logarithms.

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Problem 12140

Rewrite the logarithmic expression as an exponent: $\log_{4} x = 3$ .

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Problem 12141

Solve for $x$ in the equation $\log _{4} 64=x$ . Choose from: {16, 3, 256, 68}.

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Problem 12142

Find the integral of $\frac{1-x^{2}}{x(1-2 x)}$ and simplify to get the final expression.

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Problem 12143

Find the value of $x$ in the equation $\log _{4} 64=x$ .

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Problem 12144

Solve the equation $e^{5x} = 3$ and express the solution using natural logarithms.

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Problem 12145

Solve for $x$ using the method of completing the square: $x^{2}-7 x=-12$ .

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Problem 12146

Solve for $x$ in the equation: $3^{2 x}=15^{x-6}$ .

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Problem 12147

Find the value of $a$ in the equation $f(x)=a \cdot x^{4}$ given $60=a \cdot 25^{4}$ .

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Problem 12148

1. Simplify $s^{2}+9$ .
2. Factor $9x^{2}-4$ .
3. Complete the square for $x^2 + 3x = 18$ .

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Problem 12149

1. Calculate $5^{2}+9$ .
2. Factor $9 x^{2}-4$ .
3. Complete the square for $x^2+3x=18$ .

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Problem 12150

Solve for $m$ in the equation: $\sqrt{2 m-1}+\sqrt{2 m+1}-2=0$ .

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Problem 12151

Solve for $m$ in the equation $\sqrt{2 m+1}+\sqrt{2 m+1}-2=0$ .

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Problem 12152

Rita earned a 3% commission on 5 home sales. Calculate her total earnings from sale prices: \$510,000, \$625,000, \$450,000, \$780,000, \$650,000.

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Problem 12153

Mark earns \$1,650/month. New job pays \$9.80/hour + overtime. Find overtime hours to match weekly earnings.

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Problem 12154

1/2 - 3/10 = ?

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Problem 12155

Solve the equation $2x = 2$ .

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Problem 12156

Calculate $\frac{1}{2}-\frac{1}{5}$ . What is the result?

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Problem 12157

Calculate the sum: $=\frac{9}{8}+\frac{9}{1}$ .

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Problem 12158

Find the least number of decimal places in a factor $x$ if $x \cdot n = 34.44$ and $n$ is a whole number.

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Problem 12159

Calculate $\frac{3}{8} + \frac{1}{3}$ and verify if it equals $\frac{17}{24} \frac{9+8}{24}$ .

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Problem 12160

Find the length of each of the two equal sides in a 5-sided figure with a perimeter of 45.56 m and other sides summing to 24.2 m.

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Problem 12161

What is $\frac{3}{8}+\frac{1}{3}$ ?

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Problem 12162

Laske $3 \cdot 237$ ja ilmoita vastaus lukuyksiköinä.

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Problem 12163

Find the value of $abc$ given $2^{a}=3$ , $3^{b}=7$ , and $7^{c}=64$ .

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Problem 12164

A 10-foot board is cut into 3 pieces. One piece is 1 foot longer than the shortest and 2 feet shorter than the longest. Find the lengths.

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Problem 12165

Miss Ma's income rises by 6% from \$420000. Calculate the percentage change in her salaries tax payable with fixed allowances.

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Problem 12166

Find the 2014 annual rates for a flat with a 2.5% yearly increase, starting from \$5200 per quarter in 2008.

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Problem 12167

Miss Lee's tax is \$4500. Find her net chargeable income using the tax rates: 2\% for \$40000, 7\% for next \$40000, 12\% for next \$40000, and 17\% for the rest. Round to the nearest dollar.

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Problem 12168

Calculate the area of a circle with radius 18: $\pi \cdot 18^{2}=$

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Problem 12169

Abe sold 160 sq ft for \$878.40 and Bob sold 85 sq ft for \$466.65. Is cost proportional to area? Show calculations and explain.

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Problem 12170

Abe's store sold 160 sq ft for \$878.40, Bob's sold 85 sq ft for \$466.65. Is cost proportional to area? Show work.

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Problem 12171

Dimitri's car gets 21 miles/gallon with a 12-gallon tank. Can he drive 202.4 miles? Show calculations and use dimensional analysis.

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Problem 12172

What is the cost of a 2.3 thousand GBP ticket in U.S. dollars at the exchange rate of 1 \$ = 0.82 GBP? Round to the nearest dollar. Show calculations.

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Problem 12173

Solve for the number in the equation: 9 - $\frac{x}{7} = -5$ .

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Problem 12174

Demuestra que el producto de cuatro enteros consecutivos más uno es un cuadrado. Escribe 3 ejemplos. $n(n+1)(n+2)(n+3)+1$

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Problem 12175

The pool drains at 3 inches/hour. After 5 hours, the depth is 32 inches. Find the point-slope equation.

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Problem 12176

Solve the equation $|5x - 2| = |5x + 4|$ .

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Problem 12177

The Brandon household earns \$5,630 monthly. Calculate savings (10%), fixed expenses (32%), and variable expenses (56%). What remains after these allocations? Round to 2 decimal places.

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Problem 12178

Graph the equation $y-32=-3(x-5)$ to find how long it takes to empty the pool.

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Problem 12179

How many pounds of cake can be made with 40 eggs if 3 eggs are needed per pound? Round to the nearest pound.

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Problem 12180

Find the total distance driven after 3.5 more hours if $y=65x+80$ and $x$ is the driving time in hours.

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Problem 12181

Convert $-26.8^{\circ} \mathrm{F}$ to degrees Celsius. Provide the answer with the correct unit symbol.

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Problem 12182

Solve the equation $\frac{1}{2}|x+8|=|4 x-1|$ .

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Problem 12183

Add: $\frac{3}{7}+\frac{2}{3}=$

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Problem 12184

How many kilocalories are in 3 cups of whole milk with 13.36g carbs, 3g fat, and 6g protein? Include unit symbol.

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Problem 12185

Calculate the total energy in kilocalories for 3 cups of whole milk with 13.36g carbs, 3.38g fat, 6.00g protein.

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Problem 12186

Find $x$ in the proportion $9: 14:: x: 56$ .

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Problem 12187

Calculate Beatrice's average speed for her journey of $3 \mathrm{~km}$ , walking at $4 \mathrm{~km/h}$ and $4.5 \mathrm{~km/h}$ .

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Problem 12188

Solve the equation $3|x-4|=|2x+5|$ .

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Problem 12189

Solve the equation $|x+8|=|2x+1|$ .

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Problem 12190

Convert $-17.57^{\circ} \mathrm{C}$ to degrees Fahrenheit.

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Problem 12191

Calculate the total energy in kilocalories from 3 cups of whole milk with 13.36g carbs, 3.38g fat, 6.00g protein.

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Problem 12192

How many extra hours must Joe work to match Tim's earnings in 4 hours if Joe earns \$20/hour and Tim earns \$30/hour?

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Problem 12193

Joe's income grows by a constant amount each year. It was \$24,400 in year 1 and \$31,000 in year 7. When was it \$35,400?

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Problem 12194

Compare toilet paper packages: Sam's Club (36 rolls, 248 sheets each, \$26.99) vs Walmart (8 rolls, 350 sheets each, \$5.99). Find sheets/dollar and cost/sheet.

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Problem 12195

Is it true that $1 + 1 = 2$ ?

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Problem 12196

Calculate the total energy in kJ for 4 cups of whole milk with 17.86 g carbs, 3.17 g fat, and 3.31 g protein.

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Problem 12197

A cube with side $5.3 \mathrm{~cm}$ has a volume of $V$ and mass of 280g. Find density and determine if it floats in water.

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Problem 12198

Convert $-17.1^{\circ} \mathrm{F}$ to kelvins. Include the unit symbol in your final answer.

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Problem 12199

Convert $107.3^{\circ} \mathrm{F}$ to degrees Celsius and include the unit symbol in your answer.

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Problem 12200

Find the original cost of a train journey if the new cost is \$153.70 after a 6% increase.

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1 ...119 120 121 122 123 124 125 ...188

Equation

Problem 12101

Find the winning time prediction for 2009 using y=−0.02274x+52.77y=-0.02274 x+52.77y=−0.02274x+52.77 and compare it to the actual time of 6.98 min. What is the xxx-value for 2009? x= x= x=

Problem 12102

Write a conditional from 7x−7=427 x-7=427x−7=42 implies 7x=497 x=497x=49. Choose the correct option: A, B, C, or D.

Problem 12103

Find the predicted winning time for 2009 using y=−0.02274x+52.77y=-0.02274 x+52.77y=−0.02274x+52.77 and compare it to the actual time of 6.98 minutes. What is xxx for 2009? x= x= x=

Problem 12104

Sean eats 3 servings of Nutella, each with 200kcal200 \mathrm{kcal}200kcal. How many calories from Fat did he consume? a) 297 b) 197 c) 99 d) 198

Problem 12105

Worldwide cell phone sales data for 2009 and 2010 shows prices at \$163 (2009) and \$153 (2010). (a) Demand equation: q(p)=−39p+6,472q(p)=-39p+6,472q(p)=−39p+6,472. Predict sales at \$156. Round to nearest million. (b) Sales decrease by 39 million units for each \$1 price increase.

Problem 12106

Calculate total pay for Paul who plates 321 items at \$1.25 each and 154 items at \$0.75 each.

Problem 12107

Charge \9perguest,average39guests.Finddemand9 per guest, average 39 guests. Find demand 9perguest,average39guests.Finddemandq(p),revenue, revenue ,revenueR(p),profit, profit ,profitP(p)$, and break-even fees.

Problem 12108

Demuestra que el producto de cuatro enteros consecutivos más uno es un cuadrado. Da 3 ejemplos y encuentra la expresión algebraica.

Problem 12109

Rita earned a 3%3\%3% commission on 5 home sales. Calculate her total earnings before taxes from the following prices: \$510,000, \$625,000, \$450,000, \$780,000, \$650,000.

Problem 12110

A container has 10 marbles: 3 blue, 2 red, 1 orange, and 4 yellow. Find the probability of selecting blue and orange.

Problem 12111

Factor the quadratic function f(x)=4x2−9f(x)=4x^{2}-9f(x)=4x2−9 and find the values for xxx in x=−[?]2;x=3[]x=-\frac{[?]}{2}; x=\frac{3}{[]}x=−2[?]​;x=[]3​.

Problem 12112

Solve the quadratic function y=x2−1y=x^{2}-1y=x2−1 using the square root method. Find x=±[?]x= \pm[?]x=±[?].

Problem 12113

Complete the square to solve the quadratic: y=x2+10x+10y=x^{2}+10x+10y=x2+10x+10. Steps: Set y=0y=0y=0, adjust constants, add (b2)2(\frac{b}{2})^2(2b​)2, factor, solve for xxx.

Problem 12114

Complete the square to solve: y=x2−8x+5y=x^{2}-8x+5y=x2−8x+5. Find xxx values when y=0y=0y=0.

Problem 12115

Solve for xxx in the equation x2−x−6=0x^{2}-x-6=0x2−x−6=0. Use the quadratic formula and list the smallest solution first.

Problem 12116

Solve for x in the equation x² - 5x - 24 = 0. Use the quadratic formula and list the smallest solution first.

Problem 12117

A quarter falls from a 144 ft building. Use h(t)=−16t2+144h(t)=-16 t^{2}+144h(t)=−16t2+144 to find when it hits the ground. How many seconds? [?] seconds

Problem 12118

Solve the equation x=2x+15x=\sqrt{2 x+15}x=2x+15​ and find the value of xxx.

Problem 12119

Solve for xxx in the equation x=12\sqrt{x}=12x​=12 and verify your solution.

Problem 12120

Solve the equation 7+3(x−2)=2x+107+3(x-2)=2x+107+3(x−2)=2x+10 by applying the distributive property. What is the first step?

Problem 12121

List the four steps to solve a linear equation from these options: isolate variable, check solution, collect terms, simplify.

Problem 12122

Solve the equation: log⁡3x+log⁡3(x−24)=4 \log _{3} x + \log _{3}(x-24) = 4 log3​x+log3​(x−24)=4

Problem 12123

Rewrite the equation ex=10e^{x}=10ex=10 using logarithms.

Problem 12124

Solve the equation: log⁡3(x−5)+log⁡3(x−11)=3\log _{3}(x-5)+\log _{3}(x-11)=3log3​(x−5)+log3​(x−11)=3.

Problem 12125

Solve the equation: ln⁡x+3=7\ln \sqrt{x+3} = 7lnx+3​=7.

Problem 12126

Solve for xxx in the equation: 2+log⁡3(2x+5)−log⁡3x=42+\log _{3}(2x+5)-\log _{3}x=42+log3​(2x+5)−log3​x=4.

Problem 12127

Convert the logarithm log⁡214\log _{2} \frac{1}{4}log2​41​ to its equivalent exponential form.

Problem 12128

Solve for xxx in the equation: log⁡3(x+4)=−2\log _{3}(x+4)=-2log3​(x+4)=−2.

Problem 12129

Convert the exponential equation 53=1255^{3}=12553=125 to a logarithmic form.

Problem 12130

Rewrite the exponential equation 43=x4^{3}=x43=x using logarithms.

Problem 12131

Find the value of log⁡91729\log _{9} \frac{1}{729}log9​7291​.

Problem 12132

Rewrite the exponential equation 45/2=324^{5 / 2}=3245/2=32 using a logarithm.

Problem 12133

Rewrite the expression 3−33^{-3}3−3 using a logarithm.

Problem 12134

Solve for xxx in the equation: ex+8=2e^{x+8}=2ex+8=2.

Problem 12135

Solve the equation: e3x=5e^{3 x} = 5e3x=5

Problem 12136

Convert the logarithmic expression to an exponent: ln⁡1e4=−4\ln \frac{1}{e^{4}}=-4lne41​=−4.

Problem 12137

Solve the equation 3x+8=73^{x+8}=73x+8=7 and express the solution using natural logarithms.

Problem 12138

Solve for xxx in the equation: log⁡2x=3\log_{2} x = 3log2​x=3.

Problem 12139

Solve the equation ex+7=5e^{x+7}=5ex+7=5 and express the solution using natural logarithms.

Problem 12140

Find the winning time prediction for 2009 using $y=-0.02274 x+52.77$ and compare it to the actual time of 6.98 min. What is the $x$ -value for 2009? $x=$

Write a conditional from $7 x-7=42$ implies $7 x=49$ . Choose the correct option: A, B, C, or D.

Find the predicted winning time for 2009 using $y=-0.02274 x+52.77$ and compare it to the actual time of 6.98 minutes. What is $x$ for 2009? $x=$

Sean eats 3 servings of Nutella, each with $200 \mathrm{kcal}$ . How many calories from Fat did he consume? a) 297 b) 197 c) 99 d) 198

Worldwide cell phone sales data for 2009 and 2010 shows prices at \$163 (2009) and \$153 (2010).
(a) Demand equation: $q(p)=-39p+6,472$ . Predict sales at \$156. Round to nearest million.
(b) Sales decrease by 39 million units for each \$1 price increase.

Charge \ $9 per guest, average 39 guests. Find demand$ q(p) $, revenue$ R(p) $, profit$ P(p)$, and break-even fees.

Rita earned a $3\%$ commission on 5 home sales. Calculate her total earnings before taxes from the following prices: \$510,000, \$625,000, \$450,000, \$780,000, \$650,000.

Factor the quadratic function $f(x)=4x^{2}-9$ and find the values for $x$ in $x=-\frac{[?]}{2}; x=\frac{3}{[]}$ .

Solve the quadratic function $y=x^{2}-1$ using the square root method. Find $x= \pm[?]$ .

Complete the square to solve the quadratic: $y=x^{2}+10x+10$ . Steps: Set $y=0$ , adjust constants, add $(\frac{b}{2})^2$ , factor, solve for $x$ .

Complete the square to solve: $y=x^{2}-8x+5$ . Find $x$ values when $y=0$ .

Solve for $x$ in the equation $x^{2}-x-6=0$ . Use the quadratic formula and list the smallest solution first.

A quarter falls from a 144 ft building. Use $h(t)=-16 t^{2}+144$ to find when it hits the ground. How many seconds? [?] seconds

Solve the equation $x=\sqrt{2 x+15}$ and find the value of $x$ .

Solve for $x$ in the equation $\sqrt{x}=12$ and verify your solution.

Solve the equation $7+3(x-2)=2x+10$ by applying the distributive property. What is the first step?

Solve the equation: $\log _{3} x + \log _{3}(x-24) = 4$

Rewrite the equation $e^{x}=10$ using logarithms.

Solve the equation: $\log _{3}(x-5)+\log _{3}(x-11)=3$ .

Solve the equation: $\ln \sqrt{x+3} = 7$ .

Solve for $x$ in the equation: $2+\log _{3}(2x+5)-\log _{3}x=4$ .

Convert the logarithm $\log _{2} \frac{1}{4}$ to its equivalent exponential form.

Solve for $x$ in the equation: $\log _{3}(x+4)=-2$ .

Convert the exponential equation $5^{3}=125$ to a logarithmic form.

Rewrite the exponential equation $4^{3}=x$ using logarithms.

Find the value of $\log _{9} \frac{1}{729}$ .

Rewrite the exponential equation $4^{5 / 2}=32$ using a logarithm.

Rewrite the expression $3^{-3}$ using a logarithm.

Solve for $x$ in the equation: $e^{x+8}=2$ .

Solve the equation: $e^{3 x} = 5$

Convert the logarithmic expression to an exponent: $\ln \frac{1}{e^{4}}=-4$ .

Solve the equation $3^{x+8}=7$ and express the solution using natural logarithms.

Solve for $x$ in the equation: $\log_{2} x = 3$ .

Solve the equation $e^{x+7}=5$ and express the solution using natural logarithms.

Rewrite the logarithmic expression as an exponent: $\log_{4} x = 3$ .

Solve for $x$ in the equation $\log _{4} 64=x$ . Choose from: {16, 3, 256, 68}.

Find the integral of $\frac{1-x^{2}}{x(1-2 x)}$ and simplify to get the final expression.

Find the value of $x$ in the equation $\log _{4} 64=x$ .

Solve the equation $e^{5x} = 3$ and express the solution using natural logarithms.

Solve for $x$ using the method of completing the square: $x^{2}-7 x=-12$ .

Solve for $x$ in the equation: $3^{2 x}=15^{x-6}$ .

Find the value of $a$ in the equation $f(x)=a \cdot x^{4}$ given $60=a \cdot 25^{4}$ .

1. Simplify $s^{2}+9$ .
2. Factor $9x^{2}-4$ .
3. Complete the square for $x^2 + 3x = 18$ .

1. Calculate $5^{2}+9$ .
2. Factor $9 x^{2}-4$ .
3. Complete the square for $x^2+3x=18$ .

Solve for $m$ in the equation: $\sqrt{2 m-1}+\sqrt{2 m+1}-2=0$ .

Solve for $m$ in the equation $\sqrt{2 m+1}+\sqrt{2 m+1}-2=0$ .

Solve the equation $2x = 2$ .

Calculate $\frac{1}{2}-\frac{1}{5}$ . What is the result?

Calculate the sum: $=\frac{9}{8}+\frac{9}{1}$ .

Find the least number of decimal places in a factor $x$ if $x \cdot n = 34.44$ and $n$ is a whole number.

Calculate $\frac{3}{8} + \frac{1}{3}$ and verify if it equals $\frac{17}{24} \frac{9+8}{24}$ .

What is $\frac{3}{8}+\frac{1}{3}$ ?

Laske $3 \cdot 237$ ja ilmoita vastaus lukuyksiköinä.

Find the value of $abc$ given $2^{a}=3$ , $3^{b}=7$ , and $7^{c}=64$ .

Calculate the area of a circle with radius 18: $\pi \cdot 18^{2}=$

Solve for the number in the equation: 9 - $\frac{x}{7} = -5$ .

Demuestra que el producto de cuatro enteros consecutivos más uno es un cuadrado. Escribe 3 ejemplos. $n(n+1)(n+2)(n+3)+1$