Equation

Problem 11201

Solve for $x$ in the equation $gc=\frac{x+y}{-x}$ .

See Solution

Problem 11202

Find the width of a rectangular painting with perimeter $108.34 \mathrm{in}$ , 5.23 in. taller than wide.

See Solution

Problem 11203

Find the width of a rectangular painting with perimeter 104.59 in and height 5.79 in taller than width.

See Solution

Problem 11204

John's painting has a perimeter of 104.59 in and is 5.79 in taller than wide. Find width $w$ and length $l$ .

See Solution

Problem 11205

Tower A is 898 feet taller than Tower B, and together they are 1,712 feet. Find the height of Tower B.

See Solution

Problem 11206

Solve for $c$ in the equation $w=\frac{z-c}{r}$ . What is $c$ ?

See Solution

Problem 11207

Find the percentage of tin in a bullet with $11.4 \mathrm{~g}$ lead, $0.1 \mathrm{~g}$ tin, and $0.7 \mathrm{~g}$ antimony.

See Solution

Problem 11208

What percent of 65.52 marbles are not blue if 32.0 are blue? Include the unit symbol in your answer.

See Solution

Problem 11209

Find the value of $x$ given that $m \angle M K L=83^{\circ}$ , $m \angle J K L=127^{\circ}$ , and $m \angle J K M=(9 x-10)^{\circ}$ .

See Solution

Problem 11210

Sam compares fridge prices. (a) Superstore marks up 40\% on \$699. (b) Dept. store marks up 60\% then gives 20\% off. (c) Which is true?

See Solution

Problem 11211

Calculate the percentage of lead in a bullet with $12.7-\mathrm{g}$ lead, $0.3-\mathrm{g}$ tin, and $0.8-\mathrm{g}$ antimony.

See Solution

Problem 11212

Compare refrigerator prices:
(a) Superstore markup of $40\%$ on \$699. How much does Sam pay?
(b) Department store with $20\%$ discount. What’s the price?
(c) Which is true? Superstore more expensive, department store more, or same price?

See Solution

Problem 11213

Sam compares refrigerator prices.
(a) Superstore marks up $\$ 699$ by $40\%$ . What is the price? $\$ \square$
(b) Department store marks up $\$ 699$ by $60\%$ and gives a $20\%$ discount. What is the price? $\$ \square$
(c) Which is true?
1. Superstore price is higher.
2. Department store price is higher.
3. Prices are the same.

See Solution

Problem 11214

Ann wants to buy golf clubs for \$369. Calculate prices at a pro shop and a distributor, then compare them.
(a) Pro shop marks up by 10% then 40%. What is the final price? (b) Distributor marks up by 50%. What is the final price? (c) Which is cheaper? Pro shop, distributor, or the same?

See Solution

Problem 11215

A boat takes $2 \frac{1}{2}$ hours and a plane takes $\frac{1}{2}$ hour. How much faster is the plane than the boat?

See Solution

Problem 11216

Find the measures of angles RST, RSU, and UST given $m \angle R S T=(12 x-1)^{\circ}$ , $m \angle R S U=(9 x-15)^{\circ}$ , and $m \angle U S T=53^{\circ}$ .

See Solution

Problem 11217

Calculate the CPI for year 2 given 3 shirts and 2 pants. Prices: year 1: shirts \$25, pants \$20; year 2: shirts \$26, pants \$21.

See Solution

Problem 11218

Find $x$ and the measures of angles: $m \angle CDF = (3x + 14)^\circ$ , $m \angle FDE = (5x - 2)^\circ$ , $m \angle CDE = (10x - 18)^\circ$ .

See Solution

Problem 11219

For which values of $c$ and $d$ does $c x - 2 = 7 x + d$ have no solution? Choose all that apply: $c=-7, d=-2$ ; $c=7, d=-2$ ; $c=7, d=0$ ; $c=7, d=2$ .

See Solution

Problem 11220

Identify the mistake in $\frac{1}{a}+\frac{1}{b}=\frac{1}{a+b}$ and correct the right side of the equation.

See Solution

Problem 11221

What is the inflation rate if the nominal interest is $3\%$ and the real interest is $1\%$ ? A. $1\%$ B. $2\%$ C. $3\%$ D. $4\%$

See Solution

Problem 11222

Which scenario shows a $3\%$ annual inflation rate? A. Computer: \$325 to \$328 B. Soda: \$0.75 to \$0.78 C. Game: \$10 to \$10.03 D. Sofa: \$500 to \$515.

See Solution

Problem 11223

Linda wants the best deal on a tablet priced at \$829. Calculate:
(a) Store price after 40% discount and an extra 20% coupon. (b) Website price after 60% discount (no coupon). (c) Which is more: store price, website price, or are they the same?

See Solution

Problem 11224

If $m \angle A B C$ is 1 degree less than 3 times $m \angle A B D$ and $m \angle D B C=47^{\circ}$ , find the angles.

See Solution

Problem 11225

Calculate the inflation rate from year 1 ( $36.00) to year 2 ($ 36.75) and round to one decimal place.

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Problem 11226

What percent of a bouquet with 16.50 red roses, 8.66 pink carnations, and 27.43 white daisies are daisies?

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Problem 11227

Find the account with the highest effective annual interest rate among four options with different compounding frequencies and rates.

See Solution

Problem 11228

Calculate the absolute value: What is $|-17|$ ?

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Problem 11229

You buy 2 tacos and a salad for \$13.60. The salad is \$2.50, plus 6% tax and a \$3 tip. Find the cost of one taco.

See Solution

Problem 11230

Find the sum of 12 and -3: $12 + (-3) =$

See Solution

Problem 11231

Calculate $10 + (-10)$ . What is the result?

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Problem 11232

Naomi's parents invest \$20,000 at 7% interest. How long to reach \$50,000? A. 13.5 B. 13.9 C. 14.1 D. 15.3 years

See Solution

Problem 11233

How many mL of a suspension with $250 \mathrm{mg}/5.0 \mathrm{~mL}$ are needed for a $0.125 \mathrm{~g}$ dose of ampicillin?

See Solution

Problem 11234

Subtract: $6 - (-1) =$

See Solution

Problem 11235

If $\angle C D E$ is straight, $\overrightarrow{D E}$ bisects $\angle G D H$ with $m \angle G D E=(8 x-1)^{\circ}$ and $m \angle E D H=(6 x+15)^{\circ}$ . Find $x$ , $m \angle G D H$ , $m \angle F D H$ , and $m \angle F D E$ .

See Solution

Problem 11236

What will be the future value of a $\$ 10,000$ investment at $5\%$ interest, compounded semiannually, in 5 years?

See Solution

Problem 11237

Multiply: $0 \times (-13) =$

See Solution

Problem 11238

Calculate the present value of Ben's \$100,000 sale: \$20,000 today + \$20,000 for 4 years at 4% interest. Choices: A. \$87,096 B. \$88,384 C. \$92,598 D. \$93,964

See Solution

Problem 11239

Find the hypotenuse of a right triangle with sides 14 and 11.5. Round your answer to the nearest tenth.

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Problem 11240

Find the time $t$ (in minutes) when the altitude $a=3400t+600$ reaches 21,000 feet.

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Problem 11241

Grayson saves \$1,000/month for 20 years at 9% annual interest, compounded monthly. How much will he have to retire?

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Problem 11242

Find the balance $b$ in an account 4 years ago if the current balance is \$4708.57 and it's \$308.32 more than 4 years ago.

See Solution

Problem 11243

Find two consecutive numbers whose sum is $2n + 1$ . What are the numbers?

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Problem 11244

What is the floor area in $\mathrm{ft}^{2}$ if it needs 25.4 square yards of carpet? $(3 \mathrm{ft}=1 \mathrm{yd})$

See Solution

Problem 11245

Find the mass of an object with a volume of $88.6 \mathrm{~mL}$ and a density of $2.22 \mathrm{~g/mL}$ .

See Solution

Problem 11246

Find density $D$ given volume $V=100.0 \mathrm{~mL}$ and mass $M=1.50 \mathrm{~kg}$ . Use $D=\frac{M}{V}$ .

See Solution

Problem 11247

Find the real interest rate if the nominal rate is $1\%$ and inflation is $2\%$ . Options: $-2\%$ , $-1\%$ , $0\%$ , $1\%$ , $2\%$ .

See Solution

Problem 11248

Find two consecutive integers where the greater plus the lesser times an unknown multiplier equals 156: $x + (x-1)k = 156$ .

See Solution

Problem 11249

Find the volume of ethanol that has the same mass as 0.950 L of mercury, given their densities: $13.546 \mathrm{~g/mL}$ for mercury and $0.789 \mathrm{~g/mL}$ for ethanol.

See Solution

Problem 11250

Find the present value of a $\$ 5,000$ bonus in 5 years at $5\%$ interest, compounded quarterly. A. $\$ 3,896$ B. $\$ 3,900$ C. $\$ 3,918$ D. $\$ 6,381$

See Solution

Problem 11251

Find 2 consecutive integers where the greater plus 4 times the lesser equals 156: $x + 4(x-1) = 156$ .

See Solution

Problem 11252

Calculate the future value of a \$5,000 investment compounded annually at 10% for 10 years. Options: A. \$5,523 B. \$12,969 C. \$13,535 D. \$13,677

See Solution

Problem 11253

Solve the equation: $5(2x - 10) - 3(2x - 10) = 4$ .

See Solution

Problem 11254

Solve for $x$ in the equation: $x - 10 + \frac{1}{2} x + 5 + 3 x - 85 = 180$ .

See Solution

Problem 11255

Solve the equation $6+5(m+1)=26$ for $m$ . What is the value of $m$ ?

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Problem 11256

Solve for $x$ in the equation $x^{2}=$ .

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Problem 11257

Find the supplementary angle if one angle's measure is unknown and their sum is $180^{\circ}$ .

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Problem 11258

Calculate the molarity of a solution made by dissolving 0.026 g of CuF₂ in 250 mL of water. Round to 2 significant digits.

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Problem 11259

Calculate the kilograms of calcium in a 165-pound man if calcium makes up $1.4\%$ of body mass.

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Problem 11260

Calculate the concentration in mol/L of a solution made by dissolving 288 g of FeBr₂ in 400 mL of water. Round to 3 significant figures.

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Problem 11261

An item costs \$ 480 before tax, with a sales tax of \$ 43.20. What is the sales tax rate in percentage?

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Problem 11262

Calculate the concentration in mol/L of a solution made by dissolving 12 g of NaCl in 400 mL of water. Round to 2 sig. figs.

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Problem 11263

A desk is $35\%$ off and costs \$234. What is the original price?

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Problem 11264

Lucy had a prepaid debit card with \$25. After buying ribbon at \$0.21 per yard, she had \$16.18 left. How many yards did she buy?

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Problem 11265

If $\frac{\tan \theta+\tan 30^{\circ}}{1-\tan \theta \tan 30^{\circ}}+1=0$ , find $\tan \theta$ in surd form.

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Problem 11266

If $\frac{\tan \theta+\tan 30^{\circ}}{1-\tan \theta \tan 30^{\circ}}+1=0$ , find $\tan \theta$ in surd form.

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Problem 11267

Solve $\frac{\tan \theta+\tan 30^{\circ}}{1-\tan \theta \tan 30^{\circ}}+1=0$ for $\tan \theta$ in surd form.

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Problem 11268

Solve $\frac{\tan \theta+\tan 30^{\circ}}{1-\tan \theta \tan 30^{\circ}}+1=0$ for $\tan \theta$ in surd form.

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Problem 11269

Find the slope-intercept form of the line through $(-8,7)$ with slope $\frac{3}{4}$ .

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Problem 11270

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

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Problem 11271

Determine the ingredient amounts to make 8 brownies from the list for 16 brownies. How much butter is needed?

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Problem 11272

A person needs to know how many liters of water for a 15 km walk in Death Valley, needing 1 quart per 2 miles.

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Problem 11273

What percentage of the 1,994,317 females born in 2000 are named Emily if 25,952 are named Emily? Calculate: $\frac{25,952}{1,994,317} \times 100$ .

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Problem 11274

To make 8 brownies from a recipe for 16, calculate ingredient amounts needed. Find butter: $\frac{1}{6}$ cup, chocolate: ? ounces.

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Problem 11275

Calculate the Elixophyllin® dose in mg for a 115-lb person, given the dose is $6.00 \mathrm{mg} / \mathrm{kg}$ .

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Problem 11276

With 1 cup of butter, how many brownies can you make from the ingredients for 16 brownies? (Answer as a whole number.)

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Problem 11277

A franchise is owned by three people. If the first owns $\frac{1}{3}$ and the second $\frac{3}{7}$ , what fraction does the third own?

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Problem 11278

The map's scale is 1 inch = 16 miles. If the distance is $2 \frac{3}{4}$ inches, how many miles apart are the cities?

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Problem 11279

Convert the number $5.7 \times 10^{7}$ to decimal notation.

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Problem 11280

Solve the equation: $\frac{1}{2} n + 3 = 6$ .

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Problem 11281

What percentage of the 13,955,000 Asians age 25+ in the U.S. have at least a bachelor's degree (8,107,000)?

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Problem 11282

A mouthwash is 39.3% ethanol by mass. How many kg of ethanol are in 122 bottles (0.935 pt each, density 0.879 g/mL)?

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Problem 11283

Calculate Sam Hall's September FICA taxes based on his earnings and tax rates. Include Social Security and Medicare deductions.

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Problem 11284

Calculate Eric Diaz's FICA taxes for August with earnings of \$8600, considering Social Security and Medicare rates.

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Problem 11285

How many people age 25 and over are in the U.S. if 79,816,000 have a bachelor's degree, which is $36\%$ of the total?

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Problem 11286

Scott weighs 335 lbs and has 6.3 qt of blood. If blood density is $1.21 \mathrm{~g} / \mathrm{mL}$ , find his blood mass in kg.

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Problem 11287

Find the function with the same $y$ -intercept as $y=\frac{2}{3} x-3$ . Options: $x+4y=12$ , $\frac{2}{3}x+3y=-3$ , $6x-7y=21$ , $-\frac{2}{3}x+3y=6$ .

See Solution

Problem 11288

Calculate the amount owed after 7 years on a \ $2200 loan at a continuous interest rate of$ 9\%$. Round to the nearest cent.

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Problem 11289

What is the rate of women who didn't complete $9^{\text {th }}$ grade per 100,000, given 4,421,000 out of $129,262,000$ ?

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Problem 11290

Yolanda deposited \$1000 at 2% and \$3000 at 7%. Find total interest earned in 1 year and percent interest on total.
(a) Total interest: \$\square (b) Percent interest: \%

See Solution

Problem 11291

Of the 121,301,000 men in the U.S., 3.38% didn't finish 9th grade. How many men is this?

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Problem 11292

The equation for Rodolpho's gas card balance after $t$ weeks is: $B(t) = 140 - 35t$ .

See Solution

Problem 11293

Scott weighs 219 lbs and has a blood volume of $8.1 \mathrm{qt}$ . Find the mass of his blood in grams using $1 \mathrm{qt} = 946 \mathrm{mL}$ .

See Solution

Problem 11294

Factor the equation $x^{2}-2 x-35=0$ to find the values of $x$ .

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Problem 11295

Solve the equation $3 x^{2}+14 x-5=0$ by factoring.

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Problem 11296

How many grams of fat are in $3.06$ lbs of ground beef with $21\%$ fat? (1 lb = 453.59237 g)

See Solution

Problem 11297

How many tablets of Synthroid (50 mcg each) are needed for a dosage of 0.114 mg?

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Problem 11298

Find $\frac{d y}{d x}$ using implicit differentiation for $xy=35$ at the point $(-5,-7)$ . What is the slope?

See Solution

Problem 11299

A bottle has $0.068 \mathrm{~L}$ of cough syrup. If 5 mL is taken 4 times daily, how many days until a refill?

See Solution

Problem 11300

Solve $g(x)=9$ by substituting into $9=2 x^{2}-5$ , then find $x^{2}=7$ for 2 solutions.

See Solution

1 ...110 111 112 113 114 115 116 ...188

Equation

Problem 11201

Solve for xxx in the equation gc=x+y−xgc=\frac{x+y}{-x}gc=−xx+y​.

Problem 11202

Find the width of a rectangular painting with perimeter 108.34in108.34 \mathrm{in}108.34in, 5.23 in. taller than wide.

Problem 11203

Find the width of a rectangular painting with perimeter 104.59 in and height 5.79 in taller than width.

Problem 11204

John's painting has a perimeter of 104.59 in and is 5.79 in taller than wide. Find width www and length lll.

Problem 11205

Tower A is 898 feet taller than Tower B, and together they are 1,712 feet. Find the height of Tower B.

Problem 11206

Solve for ccc in the equation w=z−crw=\frac{z-c}{r}w=rz−c​. What is ccc?

Problem 11207

Find the percentage of tin in a bullet with 11.4 g11.4 \mathrm{~g}11.4 g lead, 0.1 g0.1 \mathrm{~g}0.1 g tin, and 0.7 g0.7 \mathrm{~g}0.7 g antimony.

Problem 11208

What percent of 65.52 marbles are not blue if 32.0 are blue? Include the unit symbol in your answer.

Problem 11209

Find the value of xxx given that m∠MKL=83∘m \angle M K L=83^{\circ}m∠MKL=83∘, m∠JKL=127∘m \angle J K L=127^{\circ}m∠JKL=127∘, and m∠JKM=(9x−10)∘m \angle J K M=(9 x-10)^{\circ}m∠JKM=(9x−10)∘.

Problem 11210

Sam compares fridge prices. (a) Superstore marks up 40\% on \$699. (b) Dept. store marks up 60\% then gives 20\% off. (c) Which is true?

Problem 11211

Calculate the percentage of lead in a bullet with 12.7−g12.7-\mathrm{g}12.7−g lead, 0.3−g0.3-\mathrm{g}0.3−g tin, and 0.8−g0.8-\mathrm{g}0.8−g antimony.

Problem 11212

Compare refrigerator prices: (a) Superstore markup of 40%40\%40% on \$699. How much does Sam pay? (b) Department store with 20%20\%20% discount. What’s the price? (c) Which is true? Superstore more expensive, department store more, or same price?

Problem 11213

Problem 11214

Ann wants to buy golf clubs for \$369. Calculate prices at a pro shop and a distributor, then compare them.(a) Pro shop marks up by 10% then 40%. What is the final price? (b) Distributor marks up by 50%. What is the final price? (c) Which is cheaper? Pro shop, distributor, or the same?

Problem 11215

A boat takes 2122 \frac{1}{2}221​ hours and a plane takes 12\frac{1}{2}21​ hour. How much faster is the plane than the boat?

Problem 11216

Find the measures of angles RST, RSU, and UST given m∠RST=(12x−1)∘m \angle R S T=(12 x-1)^{\circ}m∠RST=(12x−1)∘, m∠RSU=(9x−15)∘m \angle R S U=(9 x-15)^{\circ}m∠RSU=(9x−15)∘, and m∠UST=53∘m \angle U S T=53^{\circ}m∠UST=53∘.

Problem 11217

Calculate the CPI for year 2 given 3 shirts and 2 pants. Prices: year 1: shirts \$25, pants \$20; year 2: shirts \$26, pants \$21.

Problem 11218

Find xxx and the measures of angles: m∠CDF=(3x+14)∘m \angle CDF = (3x + 14)^\circm∠CDF=(3x+14)∘, m∠FDE=(5x−2)∘m \angle FDE = (5x - 2)^\circm∠FDE=(5x−2)∘, m∠CDE=(10x−18)∘m \angle CDE = (10x - 18)^\circm∠CDE=(10x−18)∘.

Problem 11219

For which values of ccc and ddd does cx−2=7x+dc x - 2 = 7 x + dcx−2=7x+d have no solution? Choose all that apply: c=−7,d=−2c=-7, d=-2c=−7,d=−2; c=7,d=−2c=7, d=-2c=7,d=−2; c=7,d=0c=7, d=0c=7,d=0; c=7,d=2c=7, d=2c=7,d=2.

Problem 11220

Identify the mistake in 1a+1b=1a+b\frac{1}{a}+\frac{1}{b}=\frac{1}{a+b}a1​+b1​=a+b1​ and correct the right side of the equation.

Problem 11221

What is the inflation rate if the nominal interest is 3%3\%3% and the real interest is 1%1\%1%? A. 1%1\%1% B. 2%2\%2% C. 3%3\%3% D. 4%4\%4%

Problem 11222

Which scenario shows a 3%3\%3% annual inflation rate? A. Computer: \$325 to \$328 B. Soda: \$0.75 to \$0.78 C. Game: \$10 to \$10.03 D. Sofa: \$500 to \$515.

Problem 11223

Linda wants the best deal on a tablet priced at \$829. Calculate:(a) Store price after 40% discount and an extra 20% coupon. (b) Website price after 60% discount (no coupon). (c) Which is more: store price, website price, or are they the same?

Problem 11224

If m∠ABCm \angle A B Cm∠ABC is 1 degree less than 3 times m∠ABDm \angle A B Dm∠ABD and m∠DBC=47∘m \angle D B C=47^{\circ}m∠DBC=47∘, find the angles.

Problem 11225

Calculate the inflation rate from year 1 (36.00)toyear2(36.00) to year 2 (36.00)toyear2(36.75) and round to one decimal place.

Problem 11226

What percent of a bouquet with 16.50 red roses, 8.66 pink carnations, and 27.43 white daisies are daisies?

Problem 11227

Find the account with the highest effective annual interest rate among four options with different compounding frequencies and rates.

Problem 11228

Calculate the absolute value: What is ∣−17∣|-17|∣−17∣?

Problem 11229

You buy 2 tacos and a salad for \$13.60. The salad is \$2.50, plus 6% tax and a \$3 tip. Find the cost of one taco.

Problem 11230

Find the sum of 12 and -3: 12+(−3)=12 + (-3) = 12+(−3)=

Problem 11231

Calculate 10+(−10)10 + (-10)10+(−10). What is the result?

Problem 11232

Naomi's parents invest \$20,000 at 7% interest. How long to reach \$50,000? A. 13.5 B. 13.9 C. 14.1 D. 15.3 years

Problem 11233

How many mL of a suspension with 250mg/5.0 mL250 \mathrm{mg}/5.0 \mathrm{~mL}250mg/5.0 mL are needed for a 0.125 g0.125 \mathrm{~g}0.125 g dose of ampicillin?

Problem 11234

Subtract: 6−(−1)=6 - (-1) = 6−(−1)=

Problem 11235

Problem 11236

What will be the future value of a $10,000\$ 10,000$10,000 investment at 5%5\%5% interest, compounded semiannually, in 5 years?

Problem 11237

Multiply: 0×(−13)=0 \times (-13) = 0×(−13)=

Problem 11238

Calculate the present value of Ben's \$100,000 sale: \$20,000 today + \$20,000 for 4 years at 4% interest. Choices: A. \$87,096 B. \$88,384 C. \$92,598 D. \$93,964

Problem 11239

Find the hypotenuse of a right triangle with sides 14 and 11.5. Round your answer to the nearest tenth.

Problem 11240

Find the time ttt (in minutes) when the altitude a=3400t+600a=3400t+600a=3400t+600 reaches 21,000 feet.

Problem 11241

Solve for $x$ in the equation $gc=\frac{x+y}{-x}$ .

Find the width of a rectangular painting with perimeter $108.34 \mathrm{in}$ , 5.23 in. taller than wide.

John's painting has a perimeter of 104.59 in and is 5.79 in taller than wide. Find width $w$ and length $l$ .

Solve for $c$ in the equation $w=\frac{z-c}{r}$ . What is $c$ ?

Find the percentage of tin in a bullet with $11.4 \mathrm{~g}$ lead, $0.1 \mathrm{~g}$ tin, and $0.7 \mathrm{~g}$ antimony.

Find the value of $x$ given that $m \angle M K L=83^{\circ}$ , $m \angle J K L=127^{\circ}$ , and $m \angle J K M=(9 x-10)^{\circ}$ .

Calculate the percentage of lead in a bullet with $12.7-\mathrm{g}$ lead, $0.3-\mathrm{g}$ tin, and $0.8-\mathrm{g}$ antimony.

Compare refrigerator prices:
(a) Superstore markup of $40\%$ on \$699. How much does Sam pay?
(b) Department store with $20\%$ discount. What’s the price?
(c) Which is true? Superstore more expensive, department store more, or same price?

Ann wants to buy golf clubs for \$369. Calculate prices at a pro shop and a distributor, then compare them.
(a) Pro shop marks up by 10% then 40%. What is the final price? (b) Distributor marks up by 50%. What is the final price? (c) Which is cheaper? Pro shop, distributor, or the same?

A boat takes $2 \frac{1}{2}$ hours and a plane takes $\frac{1}{2}$ hour. How much faster is the plane than the boat?

Find the measures of angles RST, RSU, and UST given $m \angle R S T=(12 x-1)^{\circ}$ , $m \angle R S U=(9 x-15)^{\circ}$ , and $m \angle U S T=53^{\circ}$ .

Find $x$ and the measures of angles: $m \angle CDF = (3x + 14)^\circ$ , $m \angle FDE = (5x - 2)^\circ$ , $m \angle CDE = (10x - 18)^\circ$ .

For which values of $c$ and $d$ does $c x - 2 = 7 x + d$ have no solution? Choose all that apply: $c=-7, d=-2$ ; $c=7, d=-2$ ; $c=7, d=0$ ; $c=7, d=2$ .

Identify the mistake in $\frac{1}{a}+\frac{1}{b}=\frac{1}{a+b}$ and correct the right side of the equation.

What is the inflation rate if the nominal interest is $3\%$ and the real interest is $1\%$ ? A. $1\%$ B. $2\%$ C. $3\%$ D. $4\%$

Which scenario shows a $3\%$ annual inflation rate? A. Computer: \$325 to \$328 B. Soda: \$0.75 to \$0.78 C. Game: \$10 to \$10.03 D. Sofa: \$500 to \$515.

Linda wants the best deal on a tablet priced at \$829. Calculate:
(a) Store price after 40% discount and an extra 20% coupon. (b) Website price after 60% discount (no coupon). (c) Which is more: store price, website price, or are they the same?

If $m \angle A B C$ is 1 degree less than 3 times $m \angle A B D$ and $m \angle D B C=47^{\circ}$ , find the angles.

Calculate the inflation rate from year 1 ( $36.00) to year 2 ($ 36.75) and round to one decimal place.

Calculate the absolute value: What is $|-17|$ ?

Find the sum of 12 and -3: $12 + (-3) =$

Calculate $10 + (-10)$ . What is the result?

How many mL of a suspension with $250 \mathrm{mg}/5.0 \mathrm{~mL}$ are needed for a $0.125 \mathrm{~g}$ dose of ampicillin?

Subtract: $6 - (-1) =$

What will be the future value of a $\$ 10,000$ investment at $5\%$ interest, compounded semiannually, in 5 years?

Multiply: $0 \times (-13) =$

Find the time $t$ (in minutes) when the altitude $a=3400t+600$ reaches 21,000 feet.

Find the balance $b$ in an account 4 years ago if the current balance is \$4708.57 and it's \$308.32 more than 4 years ago.

Find two consecutive numbers whose sum is $2n + 1$ . What are the numbers?

What is the floor area in $\mathrm{ft}^{2}$ if it needs 25.4 square yards of carpet? $(3 \mathrm{ft}=1 \mathrm{yd})$

Find the mass of an object with a volume of $88.6 \mathrm{~mL}$ and a density of $2.22 \mathrm{~g/mL}$ .

Find density $D$ given volume $V=100.0 \mathrm{~mL}$ and mass $M=1.50 \mathrm{~kg}$ . Use $D=\frac{M}{V}$ .

Find the real interest rate if the nominal rate is $1\%$ and inflation is $2\%$ . Options: $-2\%$ , $-1\%$ , $0\%$ , $1\%$ , $2\%$ .

Find two consecutive integers where the greater plus the lesser times an unknown multiplier equals 156: $x + (x-1)k = 156$ .

Find the volume of ethanol that has the same mass as 0.950 L of mercury, given their densities: $13.546 \mathrm{~g/mL}$ for mercury and $0.789 \mathrm{~g/mL}$ for ethanol.

Find the present value of a $\$ 5,000$ bonus in 5 years at $5\%$ interest, compounded quarterly. A. $\$ 3,896$ B. $\$ 3,900$ C. $\$ 3,918$ D. $\$ 6,381$

Find 2 consecutive integers where the greater plus 4 times the lesser equals 156: $x + 4(x-1) = 156$ .

Solve the equation: $5(2x - 10) - 3(2x - 10) = 4$ .

Solve for $x$ in the equation: $x - 10 + \frac{1}{2} x + 5 + 3 x - 85 = 180$ .

Solve the equation $6+5(m+1)=26$ for $m$ . What is the value of $m$ ?

Solve for $x$ in the equation $x^{2}=$ .

Find the supplementary angle if one angle's measure is unknown and their sum is $180^{\circ}$ .

Calculate the kilograms of calcium in a 165-pound man if calcium makes up $1.4\%$ of body mass.

A desk is $35\%$ off and costs \$234. What is the original price?

If $\frac{\tan \theta+\tan 30^{\circ}}{1-\tan \theta \tan 30^{\circ}}+1=0$ , find $\tan \theta$ in surd form.

If $\frac{\tan \theta+\tan 30^{\circ}}{1-\tan \theta \tan 30^{\circ}}+1=0$ , find $\tan \theta$ in surd form.

Solve $\frac{\tan \theta+\tan 30^{\circ}}{1-\tan \theta \tan 30^{\circ}}+1=0$ for $\tan \theta$ in surd form.

Solve $\frac{\tan \theta+\tan 30^{\circ}}{1-\tan \theta \tan 30^{\circ}}+1=0$ for $\tan \theta$ in surd form.

Find the slope-intercept form of the line through $(-8,7)$ with slope $\frac{3}{4}$ .

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

What percentage of the 1,994,317 females born in 2000 are named Emily if 25,952 are named Emily? Calculate: $\frac{25,952}{1,994,317} \times 100$ .

To make 8 brownies from a recipe for 16, calculate ingredient amounts needed. Find butter: $\frac{1}{6}$ cup, chocolate: ? ounces.