Equation

Problem 13101

Calculate the interior angle sum of an 11-sided polygon using $(n-2) \times 180$ . Round to the nearest tenth.

See Solution

Problem 13102

Solve for all real solutions of the equation: $x = x^3 - 4x^2 + x - 4 = x^2 + 1$ .

See Solution

Problem 13103

A number divided by 40 gives a quotient of 6 and a remainder of 15. What is the number?

See Solution

Problem 13104

Find all real solutions for the equation $z + \frac{16}{z+2} = 6$ . Enter answers as a comma-separated list.

See Solution

Problem 13105

Find the side lengths of a right triangle where the shorter leg is $8 \mathrm{ft}$ shorter than the longer leg, and the hypotenuse is $8 \mathrm{ft}$ longer than the longer leg.

See Solution

Problem 13106

The perimeter of a triangle is 76 cm. Side a is twice side b, and side c is 1 cm longer than side a. Find the side lengths.

See Solution

Problem 13107

The shorter leg is $8 \mathrm{ft}$ less than the longer leg, and the hypotenuse is $8 \mathrm{ft}$ more than the longer leg. Find the lengths.

See Solution

Problem 13108

Solve the equation for real values of $x$ : $\frac{15}{x}-\frac{9}{x-2}+4=0$ . List answers as comma-separated values.

See Solution

Problem 13109

Find the area of a triangular sail with a base of 4m and height of 3.7m using the formula $Area = \frac{1}{2} \times Base \times Height$ .

See Solution

Problem 13110

Find the line equation in slope-intercept form with slope $m=\frac{5}{9}$ and y-intercept $(0,1)$ .

See Solution

Problem 13111

Solve for real values of $x$ in the equation $x=\frac{x^{2}}{x+20}=10$ .

See Solution

Problem 13112

Find the side lengths of a right triangle where the longer leg is $3 \mathrm{~m}$ longer than the shorter leg, and the hypotenuse is $6 \mathrm{~m}$ longer than the shorter leg.

See Solution

Problem 13113

Solve for $x$ in the equation $x^2 - 3x - 4 = -4$ .

See Solution

Problem 13114

Find the side lengths of a right triangle with hypotenuse $10 \mathrm{~cm}$ , where one leg is $2 \mathrm{~cm}$ shorter than the other.

See Solution

Problem 13115

Solve for $x$ in the equation $\frac{x^{2}}{x+20}=10$ . What are the real solutions?

See Solution

Problem 13116

A student has 174 cm of ribbon. Each bow needs 20 cm. How many bows can be made and how much ribbon is left?

See Solution

Problem 13117

Find all real solutions of the equation $\frac{x^{2}}{x+20}=10$ .

See Solution

Problem 13118

Describe the solution set for $16 x^{2}-8 x+1=0$ : how many real solutions are there and why?

See Solution

Problem 13119

A right triangle has a hypotenuse of $10 \mathrm{~cm}$ . The shorter leg is $2 \mathrm{~cm}$ less than the longer leg. Find the sides.

See Solution

Problem 13120

Find the break-even point for the cost function $C(x)=39000+2400x$ and revenue function $R(x)=3150x$ .

See Solution

Problem 13121

Prove that two triangles, $\Delta$ and $\Delta$ , have equal area.

See Solution

Problem 13122

If $BC=6x$ , $CD=9$ , and $BD=9x$ , find the value of $BC$ . Simplify your answer as a fraction, mixed number, or integer.

See Solution

Problem 13123

Find $x$ such that $f(x)=x^2-3x-4=-4$ and also calculate $f(4)$ .

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Problem 13124

Un triángulo rectángulo tiene un cateto más largo que el más corto en $4 \mathrm{~cm}$ y la hipotenusa es $8 \mathrm{~cm}$ más larga que el corto. Encuentra las longitudes de los lados. Longitud del cateto más corto $\mathbf{G} \| \mathrm{cm}$ .

See Solution

Problem 13125

Find $K L$ given $K L=6 x$ , $L M=15 x-11$ , and $K M=20 x+3$ . Simplify your answer.

See Solution

Problem 13126

Set up and solve the equation for Joe's miles driven if he was reimbursed \$ 260 for lodging and travel costs.

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Problem 13127

An image is 1.5 inches wide and 3 inches tall; the actual book is 9 inches wide. What is the scale? How tall is the actual book?

See Solution

Problem 13128

Solve the equation: $(\frac{1}{5})^{x} = 625$ .

See Solution

Problem 13129

Solve for $x$ in the equation $e^{5 x} = 3$ .

See Solution

Problem 13130

Find the radical. If it doesn't exist as a real number, write "DNE".
$\sqrt{0.49}=$

See Solution

Problem 13131

Write the line equation in point-slope and slope-intercept forms with slope $=-7$ and passing through $(-8,-3)$ .

See Solution

Problem 13132

Solve the equation: $\left(\frac{256}{81}\right)^{x+1}=\left(\frac{3}{4}\right)^{x-1}$ .

See Solution

Problem 13133

Find the mass of a butter cube with dimensions $10.0 \mathrm{~cm} \times 10.0 \mathrm{~cm} \times 10.0 \mathrm{~cm}$ and density $0.9 \mathrm{~g/cm^3}$ .

See Solution

Problem 13134

Complete the statement using $<$ , $>$ , or $=$ : 13. $4=|-8|$ 14. $|-7|$

See Solution

Problem 13135

Solve the equation: $\left|\frac{1}{3} x-8\right|=4$

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Problem 13136

Solve for $x$ in the equation: $2x + 4 - \frac{3}{2}x = \frac{1}{3}(x + 5)$ .

See Solution

Problem 13137

Solve for $y$ in the equation: $y + b = 20$ .

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Problem 13138

4 equals the absolute value of -8.

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Problem 13139

Find $A$ from the equation $W=\frac{A}{4}$ .

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Problem 13140

Solve for m in the equation: mg = W.

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Problem 13141

Find the mass in grams of a liquid with density $1.15 \mathrm{~g} / \mathrm{mL}$ to fill a 50.00 - $\mathrm{mL}$ container. Use algebraic manipulation.

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Problem 13142

How long in minutes does a snail take to cross a $1.3^{12}$ foot road at 1.3 feet/min? Answer with exponents.

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Problem 13143

How long in minutes does a snail moving at $1.3^{3}$ ft/min take to cross a $1.3^{12}$ ft wide road? Use exponents.

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Problem 13144

Calculate the central angle $\theta$ (in degrees) for a circle with radius 15 inches and arc length 10 inches. Round to the nearest hundredth.

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Problem 13145

Is Jackson correct to conclude that triangles are similar from $\frac{3}{6}=\frac{2}{4}$ ? Explain your reasoning.

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Problem 13146

A runner is 9.3 miles into a 26.2-mile marathon. How much further must they run?

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Problem 13147

What is the mass of 50.0 mL for each substance? (Densities: Lead $11.4 \mathrm{~g/mL}$ , Ethanol $0.785 \mathrm{~g/mL}$ , Oxygen $1.4 \times 10^{-3} \mathrm{~g/mL}$ , Hydrogen $8.4 \times 10^{-5} \mathrm{~g/mL}$ , Mercury $13.6 \mathrm{~g/mL}$ , Gold $19.3 \mathrm{~g/mL}$ )

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Problem 13148

Find the distance difference between Circleville to Columbus ( $28.5$ mi) and Circleville to Lancaster to Columbus ( $20.83 + 29.8$ mi).

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Problem 13149

Solve for $x$ in the equation $\sqrt{8 x-1}=\sqrt{9 x-7}$ .

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Problem 13150

Calculate the arc length of a circle with radius 12 inches and central angle $\frac{3}{4} \pi$ radians. Round to two decimals.

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Problem 13151

Select subtraction problems with a difference of 1.65: 27.30-16.65, 3.809-2.744, 11.23-9.58, 21.74-20.09, 40.4-23.9.

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Problem 13152

Solve for $x$ in the equation: $\sqrt{40 - 6x} = 2x$ . What are the real solutions?

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Problem 13153

Solve the equation for real $x$ : $\sqrt{8x + 4} + 2 = x$ . What are the solutions?

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Problem 13154

Solve for $x$ in the equation: $\sqrt{1+x}+\sqrt{1-x}=2$ . What are the real solutions?

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Problem 13155

A soft drink costs \$0.99 for 24.0 oz and \$0.73 for 0.500 L. Find the price per liter for both sizes.

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Problem 13156

Calculate the total distance walked in two round trips around a path with two 300 m segments and an $80^{\circ}$ arc.

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Problem 13157

Solve for real $x$ in the equation $x^{4}-10 x^{2}+21=0$ . Enter answers as comma-separated values.

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Problem 13158

Find the coordinate of $P$ as the weighted average of points $A(-9, 2)$ and $D(2, 3)$ . Use an improper fraction if needed.

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Problem 13159

Solve the equation $x=\sqrt{x}-2\sqrt[4]{x}-3=0$ for all real solutions.

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Problem 13160

Solve the equation $x^{2}-6x=0$ .

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Problem 13161

Find the value of the box: $21 \cdot \square=7$ .

See Solution

Problem 13162

How many batches of buttermilk pancakes can be made with 6 cups of buttermilk if each batch needs $\frac{7}{8}$ cup?

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Problem 13163

Find the model wingspan if the actual wingspan is 211 feet and the scale is 1 in: $40 \mathrm{ft}$ .

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Problem 13164

Calculate the energy in joules to ionize a hydrogen atom from the $n=6$ level, knowing ground-state ionization is $2.18 \times 10^{-18} \mathrm{~J}$ .

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Problem 13165

Solve the equation $\sqrt{x}-4 \sqrt[4]{x}-5=0$ . What are the real solutions?

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Problem 13166

Find real solutions for $x$ using the Quadratic Formula for $x^{2}-0.014 x-0.066=0$ .

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Problem 13167

Find two consecutive even integers whose squares sum to 1060.

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Problem 13168

Find the wavelength of photons from hydrogen transitioning from $n=4$ to $n=3$ in $\mathrm{nm}$ and identify the spectrum region: A. ultraviolet or B. X-ray.

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Problem 13169

What is the map length for an actual distance of 70 miles, given the scale $1 / 2$ inch $=20$ miles?

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Problem 13170

Toby buys 20 pieces of wood at \$1.29 each and 120 nails at \$0.05 each for 3 fences. Total cost?

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Problem 13171

A house blueprint has a scale of 1 inch = 5 feet. If the family room is 4/4 inches long, what is its actual length?

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Problem 13172

The family room's length on a blueprint is $4/4$ inches. How long is it in feet using the scale of 1 inch $=5$ feet?

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Problem 13173

Calculate the total number of leaves that have fallen by the end of the $18^{\text{th}}$ day if they quadruple daily, starting from 1.

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Problem 13174

Find the slope-intercept form of the line through (1,3) and (0,-3).

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Problem 13175

The Wills Tower is 1454 feet tall. If a model has a scale of 2 in $=45$ feet, how tall is the model?

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Problem 13176

What is the actual height of a library that is 12 inches tall in a drawing with a scale of 1/3 inch = 1 foot?

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Problem 13177

Find the pH of apple juice with a hydrogen ion concentration of $[\mathrm{H}^+]=0.00015$ . Round to the nearest hundredth.

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Problem 13178

Milk's price rises by $2\%$ yearly. If it’s \$2.75 in 2017, what will it cost in 2020?

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Problem 13179

Find the intensity $I$ of an earthquake with a magnitude of 4.7 using $R=\log \left(\frac{I}{1}\right)$ . Round to the nearest whole number.

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Problem 13180

To make 464 liters of Petrolyn oil with a ratio of 5 liters natural to 3 liters synthetic, how much synthetic oil is needed?

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Problem 13181

The equation for "3 less than the product of 4 and 5" is: $4 \times 5 - 3$ .

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Problem 13182

Is $15 + 15 + 15 = 15 \times 3$ true? Simplify to check: $45 = 15 \times 3$ .

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Problem 13183

What is $18 \div 2$ ?

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Problem 13184

What is $1.8 \div 2$ ?

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Problem 13185

Clarify the operations with 17.64, 9.3, and .38. Is it $17.64 - 9.3 = .38$ ?

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Problem 13186

Find $x$ given $S U=60$ and the equation $(x-24)+(2x+20)=60$ . Also solve for other segments and angles.

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Problem 13187

A pool has 15,600 gallons and loses $5\%$ of water daily. How much will remain in 11 days? Round to the nearest whole number.

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Problem 13188

Calculate: $645 \div 43$

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Problem 13189

Find the operation $\circ$ such that $-.64 \circ ? = 1.29$ . What is $?$

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Problem 13190

Find the coordinate of $P$ as the weighted average of points: $W = -7$ (weight 2), $X = -4$ (weight 1), $Y = 0$ (weight 3).

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Problem 13191

Melissa's salary was \ $70,000. Find her$ z$-score given mean \$72,000 and SD \$5300. Round to 2 decimal places.
Interpret: Melissa's salary was $\square$ standard deviations (Choose one) $\mathbf{\nabla}$ the mean.

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Problem 13192

Find coordinates of $P$ as the weighted average of $U(-8,-5)$ and $X(2,0)$ , with $U$ weighing twice as much as $X$ .

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Problem 13193

Find the difference in average speed (mph) between Roger, who ran 13.2 miles in 1.6 hours, and Ana, who ran 10.85 miles in 1.4 hours.

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Problem 13194

A garden is 6 2/3 ft long and 2 2/3 ft wide. Each brick is 2/3 ft long. How many bricks does Juan need for the border?

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Problem 13195

Determine which option equals $575d - 100$ : (1) $25(22d - 4)$ , (2) $25(23d - 4)$ , (3) $25(23d + 4)$ , (4) $25(25d - 4)$ .

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Problem 13196

Find the density in pounds per cubic foot for a material weighing 6900 grams per 4.5 quarts. Round to the nearest whole number.

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Problem 13197

Find the product of 5.271 and 11.24, applying significant figures: $5.271 \times 11.24 =$

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Problem 13198

Calculate $4.554 \times 2.23 / 10.812$ and use the correct significant figures.

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Problem 13199

Margot has $21 \frac{1}{2}$ lbs flour, 8 lbs butter, and $18 \frac{1}{2}$ lbs sugar. For 12 batches, how much per batch?

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Problem 13200

Convert a flow rate of 7 liters per 9.5 hours to pints per week. Round to the nearest whole number.

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1 ...129 130 131 132 133 134 135 ...188

Equation

Problem 13101

Calculate the interior angle sum of an 11-sided polygon using (n−2)×180(n-2) \times 180(n−2)×180. Round to the nearest tenth.

Problem 13102

Solve for all real solutions of the equation: x=x3−4x2+x−4=x2+1x = x^3 - 4x^2 + x - 4 = x^2 + 1x=x3−4x2+x−4=x2+1.

Problem 13103

A number divided by 40 gives a quotient of 6 and a remainder of 15. What is the number?

Problem 13104

Find all real solutions for the equation z+16z+2=6z + \frac{16}{z+2} = 6z+z+216​=6. Enter answers as a comma-separated list.

Problem 13105

Find the side lengths of a right triangle where the shorter leg is 8ft8 \mathrm{ft}8ft shorter than the longer leg, and the hypotenuse is 8ft8 \mathrm{ft}8ft longer than the longer leg.

Problem 13106

The perimeter of a triangle is 76 cm. Side a is twice side b, and side c is 1 cm longer than side a. Find the side lengths.

Problem 13107

The shorter leg is 8ft8 \mathrm{ft}8ft less than the longer leg, and the hypotenuse is 8ft8 \mathrm{ft}8ft more than the longer leg. Find the lengths.

Problem 13108

Solve the equation for real values of xxx: 15x−9x−2+4=0\frac{15}{x}-\frac{9}{x-2}+4=0x15​−x−29​+4=0. List answers as comma-separated values.

Problem 13109

Find the area of a triangular sail with a base of 4m and height of 3.7m using the formula Area=12×Base×HeightArea = \frac{1}{2} \times Base \times HeightArea=21​×Base×Height.

Problem 13110

Find the line equation in slope-intercept form with slope m=59m=\frac{5}{9}m=95​ and y-intercept (0,1)(0,1)(0,1).

Problem 13111

Solve for real values of xxx in the equation x=x2x+20=10x=\frac{x^{2}}{x+20}=10x=x+20x2​=10.

Problem 13112

Find the side lengths of a right triangle where the longer leg is 3 m3 \mathrm{~m}3 m longer than the shorter leg, and the hypotenuse is 6 m6 \mathrm{~m}6 m longer than the shorter leg.

Problem 13113

Solve for xxx in the equation x2−3x−4=−4x^2 - 3x - 4 = -4x2−3x−4=−4.

Problem 13114

Find the side lengths of a right triangle with hypotenuse 10 cm10 \mathrm{~cm}10 cm, where one leg is 2 cm2 \mathrm{~cm}2 cm shorter than the other.

Problem 13115

Solve for xxx in the equation x2x+20=10\frac{x^{2}}{x+20}=10x+20x2​=10. What are the real solutions?

Problem 13116

A student has 174 cm of ribbon. Each bow needs 20 cm. How many bows can be made and how much ribbon is left?

Problem 13117

Find all real solutions of the equation x2x+20=10\frac{x^{2}}{x+20}=10x+20x2​=10.

Problem 13118

Describe the solution set for 16x2−8x+1=016 x^{2}-8 x+1=016x2−8x+1=0: how many real solutions are there and why?

Problem 13119

A right triangle has a hypotenuse of 10 cm10 \mathrm{~cm}10 cm. The shorter leg is 2 cm2 \mathrm{~cm}2 cm less than the longer leg. Find the sides.

Problem 13120

Find the break-even point for the cost function C(x)=39000+2400xC(x)=39000+2400xC(x)=39000+2400x and revenue function R(x)=3150xR(x)=3150xR(x)=3150x.

Problem 13121

Prove that two triangles, Δ\DeltaΔ and Δ\DeltaΔ, have equal area.

Problem 13122

If BC=6xBC=6xBC=6x, CD=9CD=9CD=9, and BD=9xBD=9xBD=9x, find the value of BCBCBC. Simplify your answer as a fraction, mixed number, or integer.

Problem 13123

Find xxx such that f(x)=x2−3x−4=−4f(x)=x^2-3x-4=-4f(x)=x2−3x−4=−4 and also calculate f(4)f(4)f(4).

Problem 13124

Un triángulo rectángulo tiene un cateto más largo que el más corto en 4 cm4 \mathrm{~cm}4 cm y la hipotenusa es 8 cm8 \mathrm{~cm}8 cm más larga que el corto. Encuentra las longitudes de los lados. Longitud del cateto más corto G∥cm\mathbf{G} \| \mathrm{cm}G∥cm.

Problem 13125

Find KLK LKL given KL=6xK L=6 xKL=6x, LM=15x−11L M=15 x-11LM=15x−11, and KM=20x+3K M=20 x+3KM=20x+3. Simplify your answer.

Problem 13126

Set up and solve the equation for Joe's miles driven if he was reimbursed \$ 260 for lodging and travel costs.

Problem 13127

An image is 1.5 inches wide and 3 inches tall; the actual book is 9 inches wide. What is the scale? How tall is the actual book?

Problem 13128

Solve the equation: (15)x=625(\frac{1}{5})^{x} = 625(51​)x=625.

Problem 13129

Solve for xxx in the equation e5x=3e^{5 x} = 3e5x=3.

Problem 13130

Find the radical. If it doesn't exist as a real number, write "DNE". 0.49= \sqrt{0.49}= 0.49​=

Problem 13131

Write the line equation in point-slope and slope-intercept forms with slope =−7=-7=−7 and passing through (−8,−3)(-8,-3)(−8,−3).

Problem 13132

Solve the equation: (25681)x+1=(34)x−1\left(\frac{256}{81}\right)^{x+1}=\left(\frac{3}{4}\right)^{x-1}(81256​)x+1=(43​)x−1.

Problem 13133

Find the mass of a butter cube with dimensions 10.0 cm×10.0 cm×10.0 cm10.0 \mathrm{~cm} \times 10.0 \mathrm{~cm} \times 10.0 \mathrm{~cm}10.0 cm×10.0 cm×10.0 cm and density 0.9 g/cm30.9 \mathrm{~g/cm^3}0.9 g/cm3.

Problem 13134

Complete the statement using <<<, >>>, or ===: 13. 4=∣−8∣4=|-8|4=∣−8∣ 14. ∣−7∣|-7|∣−7∣

Problem 13135

Solve the equation: ∣13x−8∣=4 \left|\frac{1}{3} x-8\right|=4 ∣∣​31​x−8∣∣​=4

Problem 13136

Solve for xxx in the equation: 2x+4−32x=13(x+5)2x + 4 - \frac{3}{2}x = \frac{1}{3}(x + 5)2x+4−23​x=31​(x+5).

Problem 13137

Solve for yyy in the equation: y+b=20y + b = 20y+b=20.

Problem 13138

4 equals the absolute value of -8.

Problem 13139

Find AAA from the equation W=A4W=\frac{A}{4}W=4A​.

Problem 13140

Calculate the interior angle sum of an 11-sided polygon using $(n-2) \times 180$ . Round to the nearest tenth.

Solve for all real solutions of the equation: $x = x^3 - 4x^2 + x - 4 = x^2 + 1$ .

Find all real solutions for the equation $z + \frac{16}{z+2} = 6$ . Enter answers as a comma-separated list.

Find the side lengths of a right triangle where the shorter leg is $8 \mathrm{ft}$ shorter than the longer leg, and the hypotenuse is $8 \mathrm{ft}$ longer than the longer leg.

The shorter leg is $8 \mathrm{ft}$ less than the longer leg, and the hypotenuse is $8 \mathrm{ft}$ more than the longer leg. Find the lengths.

Solve the equation for real values of $x$ : $\frac{15}{x}-\frac{9}{x-2}+4=0$ . List answers as comma-separated values.

Find the area of a triangular sail with a base of 4m and height of 3.7m using the formula $Area = \frac{1}{2} \times Base \times Height$ .

Find the line equation in slope-intercept form with slope $m=\frac{5}{9}$ and y-intercept $(0,1)$ .

Solve for real values of $x$ in the equation $x=\frac{x^{2}}{x+20}=10$ .

Find the side lengths of a right triangle where the longer leg is $3 \mathrm{~m}$ longer than the shorter leg, and the hypotenuse is $6 \mathrm{~m}$ longer than the shorter leg.

Solve for $x$ in the equation $x^2 - 3x - 4 = -4$ .

Find the side lengths of a right triangle with hypotenuse $10 \mathrm{~cm}$ , where one leg is $2 \mathrm{~cm}$ shorter than the other.

Solve for $x$ in the equation $\frac{x^{2}}{x+20}=10$ . What are the real solutions?

Find all real solutions of the equation $\frac{x^{2}}{x+20}=10$ .

Describe the solution set for $16 x^{2}-8 x+1=0$ : how many real solutions are there and why?

A right triangle has a hypotenuse of $10 \mathrm{~cm}$ . The shorter leg is $2 \mathrm{~cm}$ less than the longer leg. Find the sides.

Find the break-even point for the cost function $C(x)=39000+2400x$ and revenue function $R(x)=3150x$ .

Prove that two triangles, $\Delta$ and $\Delta$ , have equal area.

If $BC=6x$ , $CD=9$ , and $BD=9x$ , find the value of $BC$ . Simplify your answer as a fraction, mixed number, or integer.

Find $x$ such that $f(x)=x^2-3x-4=-4$ and also calculate $f(4)$ .

Un triángulo rectángulo tiene un cateto más largo que el más corto en $4 \mathrm{~cm}$ y la hipotenusa es $8 \mathrm{~cm}$ más larga que el corto. Encuentra las longitudes de los lados. Longitud del cateto más corto $\mathbf{G} \| \mathrm{cm}$ .

Find $K L$ given $K L=6 x$ , $L M=15 x-11$ , and $K M=20 x+3$ . Simplify your answer.

Solve the equation: $(\frac{1}{5})^{x} = 625$ .

Solve for $x$ in the equation $e^{5 x} = 3$ .

Find the radical. If it doesn't exist as a real number, write "DNE".
$\sqrt{0.49}=$

Write the line equation in point-slope and slope-intercept forms with slope $=-7$ and passing through $(-8,-3)$ .

Solve the equation: $\left(\frac{256}{81}\right)^{x+1}=\left(\frac{3}{4}\right)^{x-1}$ .

Find the mass of a butter cube with dimensions $10.0 \mathrm{~cm} \times 10.0 \mathrm{~cm} \times 10.0 \mathrm{~cm}$ and density $0.9 \mathrm{~g/cm^3}$ .

Complete the statement using $<$ , $>$ , or $=$ : 13. $4=|-8|$ 14. $|-7|$

Solve the equation: $\left|\frac{1}{3} x-8\right|=4$

Solve for $x$ in the equation: $2x + 4 - \frac{3}{2}x = \frac{1}{3}(x + 5)$ .

Solve for $y$ in the equation: $y + b = 20$ .

Find $A$ from the equation $W=\frac{A}{4}$ .

Find the mass in grams of a liquid with density $1.15 \mathrm{~g} / \mathrm{mL}$ to fill a 50.00 - $\mathrm{mL}$ container. Use algebraic manipulation.

How long in minutes does a snail take to cross a $1.3^{12}$ foot road at 1.3 feet/min? Answer with exponents.

How long in minutes does a snail moving at $1.3^{3}$ ft/min take to cross a $1.3^{12}$ ft wide road? Use exponents.

Calculate the central angle $\theta$ (in degrees) for a circle with radius 15 inches and arc length 10 inches. Round to the nearest hundredth.

Is Jackson correct to conclude that triangles are similar from $\frac{3}{6}=\frac{2}{4}$ ? Explain your reasoning.

Find the distance difference between Circleville to Columbus ( $28.5$ mi) and Circleville to Lancaster to Columbus ( $20.83 + 29.8$ mi).

Solve for $x$ in the equation $\sqrt{8 x-1}=\sqrt{9 x-7}$ .

Calculate the arc length of a circle with radius 12 inches and central angle $\frac{3}{4} \pi$ radians. Round to two decimals.

Solve for $x$ in the equation: $\sqrt{40 - 6x} = 2x$ . What are the real solutions?

Solve the equation for real $x$ : $\sqrt{8x + 4} + 2 = x$ . What are the solutions?

Solve for $x$ in the equation: $\sqrt{1+x}+\sqrt{1-x}=2$ . What are the real solutions?

Calculate the total distance walked in two round trips around a path with two 300 m segments and an $80^{\circ}$ arc.

Solve for real $x$ in the equation $x^{4}-10 x^{2}+21=0$ . Enter answers as comma-separated values.

Find the coordinate of $P$ as the weighted average of points $A(-9, 2)$ and $D(2, 3)$ . Use an improper fraction if needed.

Solve the equation $x=\sqrt{x}-2\sqrt[4]{x}-3=0$ for all real solutions.

Solve the equation $x^{2}-6x=0$ .

Find the value of the box: $21 \cdot \square=7$ .

How many batches of buttermilk pancakes can be made with 6 cups of buttermilk if each batch needs $\frac{7}{8}$ cup?

Find the model wingspan if the actual wingspan is 211 feet and the scale is 1 in: $40 \mathrm{ft}$ .

Calculate the energy in joules to ionize a hydrogen atom from the $n=6$ level, knowing ground-state ionization is $2.18 \times 10^{-18} \mathrm{~J}$ .

Solve the equation $\sqrt{x}-4 \sqrt[4]{x}-5=0$ . What are the real solutions?

Find real solutions for $x$ using the Quadratic Formula for $x^{2}-0.014 x-0.066=0$ .

Find the wavelength of photons from hydrogen transitioning from $n=4$ to $n=3$ in $\mathrm{nm}$ and identify the spectrum region: A. ultraviolet or B. X-ray.

What is the map length for an actual distance of 70 miles, given the scale $1 / 2$ inch $=20$ miles?

The family room's length on a blueprint is $4/4$ inches. How long is it in feet using the scale of 1 inch $=5$ feet?

Calculate the total number of leaves that have fallen by the end of the $18^{\text{th}}$ day if they quadruple daily, starting from 1.