Math

Problem 64201

Calculate the sum: $\frac{-9}{10}+\frac{-1}{6}=$

See Solution

Problem 64202

Find the solutions to the inequality $-122 \leq -12 p$ . Choose from: $p=-3$ , $p=-7$ , $p=-4$ , $p=5$ .

See Solution

Problem 64203

What is the total cost for layaway if the printer costs \$82 with a \$5 setup fee? Choose: (A) \$82 (B) \$82 + interest (C) \$87

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Problem 64204

Calculate: $\frac{-9}{10}+\frac{-1}{6}=$

See Solution

Problem 64205

Find the absolute value of -8: $|-8| =$

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Problem 64206

Insert $\varepsilon_{,}>$ , or $=$ in the space: $9 \square |-7|$ to make it true.

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Problem 64207

Find the point that is $\frac{3}{10}$ of the way from $A(-3,-6)$ to $B(10,5)$ .

See Solution

Problem 64208

Describe how to generate the next terms in the pattern: A: $5, 8, 11, 14, 17, \ldots$

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Problem 64209

Solve for $m$ in the equation $y=mx+b$ .

See Solution

Problem 64210

Find the average cost per item for manufacturing 90 items if $C=600+30x$ .

See Solution

Problem 64211

Graph the cost equation $c = 10 + \frac{1}{4} m$ and estimate $c$ for $m = 36$ .

See Solution

Problem 64212

Solve for $y$ : $3(2y + 4) = 4(2y - \frac{1}{2})$ . What is the value of $y$ ?

See Solution

Problem 64213

Solve the equation $x-9=23$ . What is the value of $x$ ? Options: $32$ , $-14$ , $14$ , $-32$ .

See Solution

Problem 64214

If figure 1 has an area of 15 square units and a scale factor of 5, what is the area of figure 2?

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Problem 64215

Insert $<, >$ , or $=$ in the blank: $\frac{5}{4}-|-4| \_\_\_$ ?

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Problem 64216

Find the snow depth, $d$ , on January 30 using the equation $d=-2t+64$ , where $t$ is days since Dec 31.

See Solution

Problem 64217

Calculate the sum: $-22 + (-10) + 15$ .

See Solution

Problem 64218

Solve the equation $x - 9 = 23$ . What is the value of $x$ ?

See Solution

Problem 64219

What payment method involves paying for an item in full upfront? Choose one: (A) rent-to-own, (B) layaway, (C) cash, (D) credit card.

See Solution

Problem 64220

Insert $<$ or $>$ between the numbers to make the statement true: $\frac{6}{11} \square \frac{2}{9}$ .

See Solution

Problem 64221

The area of figure 2 is $15 \times 5^2 = 375$ square units. The area scales with the square of the factor.

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Problem 64222

The area of figure 2 is what if figure 1 has an area of 15 square units and a scale factor of 5?

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Problem 64223

Which steps solve $\frac{3 x}{4}=\frac{7}{3}$ ? Find the solution for $x$ .

See Solution

Problem 64224

Find the sales in 1989 using the formula $S=70 x+500$ , where $x=0$ is 1982.

See Solution

Problem 64225

Find the mass of a gold sample (density 19.3 g/cm³) with a volume of 2.5 cm³ using $d=\frac{m}{v}$ . Mass: g

See Solution

Problem 64226

Insert $<$ or $>$ between 0.5 and 0.2 to create a true statement: $0.5 \quad \boldsymbol{\nabla} \quad 0.2$

See Solution

Problem 64227

Find $x$ in the equation: $2x - 11 = 7x + 16$ . Options: $3$ , $-5 \frac{2}{5}$ , $-1$ , $\frac{5}{9}$ .

See Solution

Problem 64228

Find the width of a rectangular enclosure with area $\geq 2700 \mathrm{yd}^{2}$ , using $240 \mathrm{yd}$ of fencing.

See Solution

Problem 64229

Solve for $y$ in the equation $Ax + By = C$ using $x$ , $A$ , $B$ , and $C$ .

See Solution

Problem 64230

Calculate the nitrogen monoxide production rate in kg/s when 499 L/s of dioxygen is used at $174 .{ }^{\circ} \mathrm{C}$ and $0.74 \mathrm{~atm}$ . Round to 2 significant digits.

See Solution

Problem 64231

Find the opposite of the number 8. The opposite of 8 is $-8$ .

See Solution

Problem 64232

Find the hours when total costs of ski rentals from Shop A ( $3 + 9h$ ) and Shop B ( $9 + 6h$ ) are equal.

See Solution

Problem 64233

Find the width $w$ of a rectangular enclosure with area $\geq 2700 \mathrm{yd}^{2}$ and perimeter $240 \mathrm{yd}$ .

See Solution

Problem 64234

Find the least common multiple (LCM) for these pairs: a) 12, 14 b) 21, 45 c) 45, 60 d) 38, 42 e) 32, 45 f) 28, 52.

See Solution

Problem 64235

Find the greatest common factor (GCF) for: a) 150, 275, 420 b) 120, 960, 1400 c) 126, 210, 546, 714 d) 220, 308, 484, 988 Then find the least common multiple (LCM) for each.

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Problem 64236

Find the least common multiple (LCM) for these pairs: a) 12, 14 b) 21, 45 c) 45, 60 d) 38, 42 e) 32, 45 f) 28, 52.

See Solution

Problem 64237

Identify the rule for generating terms in these sequences: a. Pattern A: 5, 8, 11, 14, 17, ... b. Pattern B: $\frac{1}{2}, 1, 2, 4, 8, ...$

See Solution

Problem 64238

Check if Rebecca's five pairs of like terms are correct and fix any mistakes: $2.5 w$ and $-8 w$ , $\frac{1}{2}$ and $\frac{1}{2}$ , 38 and -15, $-7 c^{2}$ and $c^{2}$ , $5 a$ and $5 b$ .

See Solution

Problem 64239

What score does Paul need on his third test to average at least $80$ if he scored 83 and 75 on the first two tests?

See Solution

Problem 64240

Determine if the relationship between workers $x$ and days $y$ to paint 50 apartments is proportional. Explain why.

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Problem 64241

Find the opposite of -14. What is the value?

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Problem 64242

Calculate the product: $7.28 \times 2.6$

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Problem 64243

Calculate the sum: $-\frac{5}{13}+\frac{4}{7}=\square$ (Simplify your answer.)

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Problem 64244

Which thermometer shows a higher temperature: A at 75°F or B at 22°C?

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Problem 64245

Calculate the sum: $-1 + (-2) =$

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Problem 64246

Compare temperatures: $A = 75^\circ F$ and $B = 22^\circ C$ . Which is higher? A or B?

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Problem 64247

Solve the equation $\frac{x+1-1}{3}=2-1$ .

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Problem 64248

Solve the equation $\frac{x+1-1}{3} = 2-1$ . What mistake was made? Correctly solve for $x$ .

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Problem 64249

Add: $-6 + 0 =$

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Problem 64250

Find $\delta$ such that if $|x-4|<\delta$ , then $|\sqrt{x}-2|<0.4$ for $f(x)=\sqrt{x}$ .

See Solution

Problem 64251

Find the minimum number of backpacks $x$ to sell for profit where $C=98x+7,809$ and $R=190x$ . Choices: A. 718,428 B. \$2,248,992 C. 85 D. 29

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Problem 64252

Vergleiche die folgenden Zahlenpaare und schreibe die größere Zahl auf: a) 530 oder 503, b) 460 oder 640, c) 617 oder 671, d) 122 oder 221, e) 1100 oder 1110, f) 835 oder 853, g) 565 oder 556, h) $409$ oder $4009$ .

See Solution

Problem 64253

Solve the inequality: $x^{2}+2 x \geq 8$ .

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Problem 64254

Add $3 + (-3)$ on a number line. What is the result? $3 + (-3) =$

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Problem 64255

Keiko deposits \$9500 at 17% annual interest. Find the account balance after 1 year and after 2 years.

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Problem 64256

Simplify the expression $7 - (-4) + 3(-6)$ .

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Problem 64257

Calculate the product of 7.36 and 2.7. What is $7.36 \times 2.7$ ?

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Problem 64258

A plane flies at 200 mph for 225 miles ± 50 miles. Find the min and max travel time in hours. At least $h$ and at most $h$ .

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Problem 64259

Add: $-3 + (-5) =$

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Problem 64260

Prove or disprove that there are no positive integers $a, b, c$ and integer $n>2$ such that $a^{n}+b^{n}=c^{n}$ .

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Problem 64261

Find the opposite of $-\frac{5}{6}$ . What is the result?

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Problem 64262

Find the number of units $t$ to sell for profit if cost is $C=3t^{2}+7t$ and revenue is $R=4t^{2}+t$ .

See Solution

Problem 64263

Welche Karten für die Zahlen? a) 920 b) 811 c) 478

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Problem 64264

Calculate $-\frac{9}{40} + \left(-\frac{4}{5}\right)$ and simplify the result.

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Problem 64265

Calculate $9.63 \times 4.9$ .

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Problem 64266

Estimate the number of employees in educational services in 2010, given 14.5 million in 2005 and 16.5 million in 2014. Use a linear model.

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Problem 64267

Calculate: $82.1 + (-88.2) =$ (Type an integer or a decimal.)

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Problem 64268

Find an expression to determine how much Muhundan owes after borrowing \$ 213 and repaying \$ 130. He owes \$ \square.

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Problem 64269

There are 48 trails in total, with $37.5\%$ being beginner trails. Find the number of expert trails.

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Problem 64270

Calculate: $-12 + (-6) =$

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Problem 64271

Combine the terms in the expression: $4 r + 9 r - 11 r + 7 r$ .

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Problem 64272

Calculate the sum of -38 and -16: $-38 + (-16)$ .

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Problem 64273

Calculate the sum: $-4 + (-3) =$

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Problem 64274

A spinner has sections 1, 2, and 3. Answer these:
1. Count favorable outcomes.
2. Sample space $S=\{1,2,3\}$ .
3. Count total outcomes.
4. Fraction favorable? (e.g., $1 / 2$ ).
5. Fraction unfavorable? (e.g., $1 / 2$ ).

See Solution

Problem 64275

Calculate $4 + 5$ and $4 - 5$ . What are the results?

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Problem 64276

Calculate the sum: $0.52 + 1.2$ .

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Problem 64277

Calculate $a^{2}+b^{2}$ for $a=3$ and $b=-4$ .

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Problem 64278

Is $q=-20$ a solution to the inequality $-5>\frac{q}{20}$ ? Answer yes or no.

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Problem 64279

Simplify: $-26 r + 7 r - 15 p - 7 p$ .

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Problem 64280

In an obtuse triangle, sides are $(x-5)$ in, $6$ in, and $\frac{x}{2}$ in with a perimeter of $13$ in. Find the shortest side.

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Problem 64281

Sarah's net income is \$1764.72 and taxes are \$158.04. Find her gross income for the week.

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Problem 64282

How much warmer is $129^{\circ} \mathrm{F}$ than $-119^{\circ} \mathrm{F}$ ? $129^{\circ} \mathrm{F}$ is $\square$ degrees warmer.

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Problem 64283

Evaluate $|-6| + 3|4| + |-5| - 0 \cdot 6$ .

See Solution

Problem 64284

Calculate $|5|-|-3|$

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Problem 64285

Is $b=-3$ a solution for the inequality $-6+b>-2$ ? Answer yes or no.

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Problem 64286

Find the solutions to the inequality $14 < 7 + t$ . Choose all that apply: $t=8$ , $t=7$ , $t=5$ , $t=10$ .

See Solution

Problem 64287

Calculate $9 - (-2)$ . What is the result?

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Problem 64288

Subtract 7 from 9. What is $9 - 7$ ?

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Problem 64289

Simplify: $20 - (-11) + (-21) =$

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Problem 64290

Evaluate $\frac{3 a+1}{b+\frac{c}{a}}$ for $a=3$ , $b=\frac{2}{3}$ , and $c=4$ .

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Problem 64291

Calculate $7 - (-5)$ . What is the result?

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Problem 64292

Find $\delta$ so that if $|x-1|<\delta$ , then $|f(x)-1|<0.2$ using points (.7,1.2) and (1.1,.8).

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Problem 64293

Evaluate $-4|-4|$

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Problem 64294

Find the quotient and remainder of $2 x^{2}-5 x+3$ divided by $x-3$ using synthetic division.

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Problem 64295

(a) Is the difference positive, zero, or negative? (b) Calculate $378-314=$

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Problem 64296

Find the solutions for the inequality $-12 + 10g > -72$ . Which values of $g$ are valid? Options: $g=9$ , $g=-12$ , $g=11$ , $g=-5$ .

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Problem 64297

Calculate the result of 4.4 - 1.29.

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Problem 64298

What is the total amount Ron deposited if he put in $\$ 13645$ on Tuesday and $\$ 6880$ on Wednesday?

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Problem 64299

Evaluate 2 - 7. What is the result? $2 - 7 =$

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Problem 64300

Find the limit: $\lim _{x \rightarrow 0} \frac{\sin (4 x)}{2 x}=$

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1 ...640 641 642 643 644 645 646 ...661

Math

Problem 64201

Calculate the sum: −910+−16=\frac{-9}{10}+\frac{-1}{6}=10−9​+6−1​=

Problem 64202

Find the solutions to the inequality −122≤−12p-122 \leq -12 p−122≤−12p. Choose from: p=−3p=-3p=−3, p=−7p=-7p=−7, p=−4p=-4p=−4, p=5p=5p=5.

Problem 64203

What is the total cost for layaway if the printer costs \$82 with a \$5 setup fee? Choose: (A) \$82 (B) \$82 + interest (C) \$87

Problem 64204

Calculate: −910+−16=\frac{-9}{10}+\frac{-1}{6}=10−9​+6−1​=

Problem 64205

Find the absolute value of -8: ∣−8∣=|-8| = ∣−8∣=

Problem 64206

Insert ε,>\varepsilon_{,}>ε,​>, or === in the space: 9□∣−7∣9 \square |-7|9□∣−7∣ to make it true.

Problem 64207

Find the point that is 310\frac{3}{10}103​ of the way from A(−3,−6)A(-3,-6)A(−3,−6) to B(10,5)B(10,5)B(10,5).

Problem 64208

Describe how to generate the next terms in the pattern: A: 5,8,11,14,17,…5, 8, 11, 14, 17, \ldots5,8,11,14,17,…

Problem 64209

Solve for mmm in the equation y=mx+by=mx+by=mx+b.

Problem 64210

Find the average cost per item for manufacturing 90 items if C=600+30xC=600+30xC=600+30x.

Problem 64211

Graph the cost equation c=10+14mc = 10 + \frac{1}{4} mc=10+41​m and estimate ccc for m=36m = 36m=36.

Problem 64212

Solve for yyy: 3(2y+4)=4(2y−12)3(2y + 4) = 4(2y - \frac{1}{2})3(2y+4)=4(2y−21​). What is the value of yyy?

Problem 64213

Solve the equation x−9=23x-9=23x−9=23. What is the value of xxx? Options: 323232, −14-14−14, 141414, −32-32−32.

Problem 64214

If figure 1 has an area of 15 square units and a scale factor of 5, what is the area of figure 2?

Problem 64215

Insert <,><, ><,>, or === in the blank: 54−∣−4∣___\frac{5}{4}-|-4| \_\_\_45​−∣−4∣___?

Problem 64216

Find the snow depth, ddd, on January 30 using the equation d=−2t+64d=-2t+64d=−2t+64, where ttt is days since Dec 31.

Problem 64217

Calculate the sum: −22+(−10)+15-22 + (-10) + 15−22+(−10)+15.

Problem 64218

Solve the equation x−9=23x - 9 = 23x−9=23. What is the value of xxx?

Problem 64219

What payment method involves paying for an item in full upfront? Choose one: (A) rent-to-own, (B) layaway, (C) cash, (D) credit card.

Problem 64220

Insert <<< or >>> between the numbers to make the statement true: 611□29\frac{6}{11} \square \frac{2}{9}116​□92​.

Problem 64221

The area of figure 2 is 15×52=37515 \times 5^2 = 37515×52=375 square units. The area scales with the square of the factor.

Problem 64222

The area of figure 2 is what if figure 1 has an area of 15 square units and a scale factor of 5?

Problem 64223

Which steps solve 3x4=73\frac{3 x}{4}=\frac{7}{3}43x​=37​? Find the solution for xxx.

Problem 64224

Find the sales in 1989 using the formula S=70x+500S=70 x+500S=70x+500, where x=0x=0x=0 is 1982.

Problem 64225

Find the mass of a gold sample (density 19.3 g/cm³) with a volume of 2.5 cm³ using d=mvd=\frac{m}{v}d=vm​. Mass: g

Problem 64226

Insert <<< or >>> between 0.5 and 0.2 to create a true statement: 0.5∇0.20.5 \quad \boldsymbol{\nabla} \quad 0.20.5∇0.2

Problem 64227

Find xxx in the equation: 2x−11=7x+162x - 11 = 7x + 162x−11=7x+16. Options: 333, −525-5 \frac{2}{5}−552​, −1-1−1, 59\frac{5}{9}95​.

Problem 64228

Find the width of a rectangular enclosure with area ≥2700yd2\geq 2700 \mathrm{yd}^{2}≥2700yd2, using 240yd240 \mathrm{yd}240yd of fencing.

Problem 64229

Solve for yyy in the equation Ax+By=CAx + By = CAx+By=C using xxx, AAA, BBB, and CCC.

Problem 64230

Calculate the nitrogen monoxide production rate in kg/s when 499 L/s of dioxygen is used at 174.∘C174 .{ }^{\circ} \mathrm{C}174.∘C and 0.74 atm0.74 \mathrm{~atm}0.74 atm. Round to 2 significant digits.

Problem 64231

Find the opposite of the number 8. The opposite of 8 is −8-8−8.

Problem 64232

Find the hours when total costs of ski rentals from Shop A (3+9h3 + 9h3+9h) and Shop B (9+6h9 + 6h9+6h) are equal.

Problem 64233

Find the width www of a rectangular enclosure with area ≥2700yd2\geq 2700 \mathrm{yd}^{2}≥2700yd2 and perimeter 240yd240 \mathrm{yd}240yd.

Problem 64234

Find the least common multiple (LCM) for these pairs: a) 12, 14 b) 21, 45 c) 45, 60 d) 38, 42 e) 32, 45 f) 28, 52.

Problem 64235

Find the greatest common factor (GCF) for: a) 150, 275, 420 b) 120, 960, 1400 c) 126, 210, 546, 714 d) 220, 308, 484, 988 Then find the least common multiple (LCM) for each.

Problem 64236

Find the least common multiple (LCM) for these pairs: a) 12, 14 b) 21, 45 c) 45, 60 d) 38, 42 e) 32, 45 f) 28, 52.

Problem 64237

Identify the rule for generating terms in these sequences: a. Pattern A: 5, 8, 11, 14, 17, ... b. Pattern B: 12,1,2,4,8,...\frac{1}{2}, 1, 2, 4, 8, ...21​,1,2,4,8,...

Problem 64238

Check if Rebecca's five pairs of like terms are correct and fix any mistakes: 2.5w2.5 w2.5w and −8w-8 w−8w, 12\frac{1}{2}21​ and 12\frac{1}{2}21​, 38 and -15, −7c2-7 c^{2}−7c2 and c2c^{2}c2, 5a5 a5a and 5b5 b5b.

Problem 64239

What score does Paul need on his third test to average at least 808080 if he scored 83 and 75 on the first two tests?

Problem 64240

Calculate the sum: $\frac{-9}{10}+\frac{-1}{6}=$

Find the solutions to the inequality $-122 \leq -12 p$ . Choose from: $p=-3$ , $p=-7$ , $p=-4$ , $p=5$ .

Calculate: $\frac{-9}{10}+\frac{-1}{6}=$

Find the absolute value of -8: $|-8| =$

Insert $\varepsilon_{,}>$ , or $=$ in the space: $9 \square |-7|$ to make it true.

Find the point that is $\frac{3}{10}$ of the way from $A(-3,-6)$ to $B(10,5)$ .

Describe how to generate the next terms in the pattern: A: $5, 8, 11, 14, 17, \ldots$

Solve for $m$ in the equation $y=mx+b$ .

Find the average cost per item for manufacturing 90 items if $C=600+30x$ .

Graph the cost equation $c = 10 + \frac{1}{4} m$ and estimate $c$ for $m = 36$ .

Solve for $y$ : $3(2y + 4) = 4(2y - \frac{1}{2})$ . What is the value of $y$ ?

Solve the equation $x-9=23$ . What is the value of $x$ ? Options: $32$ , $-14$ , $14$ , $-32$ .

Insert $<, >$ , or $=$ in the blank: $\frac{5}{4}-|-4| \_\_\_$ ?

Find the snow depth, $d$ , on January 30 using the equation $d=-2t+64$ , where $t$ is days since Dec 31.

Calculate the sum: $-22 + (-10) + 15$ .

Solve the equation $x - 9 = 23$ . What is the value of $x$ ?

Insert $<$ or $>$ between the numbers to make the statement true: $\frac{6}{11} \square \frac{2}{9}$ .

The area of figure 2 is $15 \times 5^2 = 375$ square units. The area scales with the square of the factor.

Which steps solve $\frac{3 x}{4}=\frac{7}{3}$ ? Find the solution for $x$ .

Find the sales in 1989 using the formula $S=70 x+500$ , where $x=0$ is 1982.

Find the mass of a gold sample (density 19.3 g/cm³) with a volume of 2.5 cm³ using $d=\frac{m}{v}$ . Mass: g

Insert $<$ or $>$ between 0.5 and 0.2 to create a true statement: $0.5 \quad \boldsymbol{\nabla} \quad 0.2$

Find $x$ in the equation: $2x - 11 = 7x + 16$ . Options: $3$ , $-5 \frac{2}{5}$ , $-1$ , $\frac{5}{9}$ .

Find the width of a rectangular enclosure with area $\geq 2700 \mathrm{yd}^{2}$ , using $240 \mathrm{yd}$ of fencing.

Solve for $y$ in the equation $Ax + By = C$ using $x$ , $A$ , $B$ , and $C$ .

Calculate the nitrogen monoxide production rate in kg/s when 499 L/s of dioxygen is used at $174 .{ }^{\circ} \mathrm{C}$ and $0.74 \mathrm{~atm}$ . Round to 2 significant digits.

Find the opposite of the number 8. The opposite of 8 is $-8$ .

Find the hours when total costs of ski rentals from Shop A ( $3 + 9h$ ) and Shop B ( $9 + 6h$ ) are equal.

Find the width $w$ of a rectangular enclosure with area $\geq 2700 \mathrm{yd}^{2}$ and perimeter $240 \mathrm{yd}$ .

Identify the rule for generating terms in these sequences: a. Pattern A: 5, 8, 11, 14, 17, ... b. Pattern B: $\frac{1}{2}, 1, 2, 4, 8, ...$

Check if Rebecca's five pairs of like terms are correct and fix any mistakes: $2.5 w$ and $-8 w$ , $\frac{1}{2}$ and $\frac{1}{2}$ , 38 and -15, $-7 c^{2}$ and $c^{2}$ , $5 a$ and $5 b$ .

What score does Paul need on his third test to average at least $80$ if he scored 83 and 75 on the first two tests?

Determine if the relationship between workers $x$ and days $y$ to paint 50 apartments is proportional. Explain why.

Calculate the product: $7.28 \times 2.6$

Calculate the sum: $-\frac{5}{13}+\frac{4}{7}=\square$ (Simplify your answer.)

Calculate the sum: $-1 + (-2) =$

Compare temperatures: $A = 75^\circ F$ and $B = 22^\circ C$ . Which is higher? A or B?

Solve the equation $\frac{x+1-1}{3}=2-1$ .

Solve the equation $\frac{x+1-1}{3} = 2-1$ . What mistake was made? Correctly solve for $x$ .

Add: $-6 + 0 =$

Find $\delta$ such that if $|x-4|<\delta$ , then $|\sqrt{x}-2|<0.4$ for $f(x)=\sqrt{x}$ .

Find the minimum number of backpacks $x$ to sell for profit where $C=98x+7,809$ and $R=190x$ . Choices: A. 718,428 B. \$2,248,992 C. 85 D. 29

Vergleiche die folgenden Zahlenpaare und schreibe die größere Zahl auf: a) 530 oder 503, b) 460 oder 640, c) 617 oder 671, d) 122 oder 221, e) 1100 oder 1110, f) 835 oder 853, g) 565 oder 556, h) $409$ oder $4009$ .

Solve the inequality: $x^{2}+2 x \geq 8$ .

Add $3 + (-3)$ on a number line. What is the result? $3 + (-3) =$

Simplify the expression $7 - (-4) + 3(-6)$ .

Calculate the product of 7.36 and 2.7. What is $7.36 \times 2.7$ ?

A plane flies at 200 mph for 225 miles ± 50 miles. Find the min and max travel time in hours. At least $h$ and at most $h$ .

Add: $-3 + (-5) =$

Prove or disprove that there are no positive integers $a, b, c$ and integer $n>2$ such that $a^{n}+b^{n}=c^{n}$ .

Find the opposite of $-\frac{5}{6}$ . What is the result?

Find the number of units $t$ to sell for profit if cost is $C=3t^{2}+7t$ and revenue is $R=4t^{2}+t$ .

Calculate $-\frac{9}{40} + \left(-\frac{4}{5}\right)$ and simplify the result.

Calculate $9.63 \times 4.9$ .

Calculate: $82.1 + (-88.2) =$ (Type an integer or a decimal.)

There are 48 trails in total, with $37.5\%$ being beginner trails. Find the number of expert trails.

Calculate: $-12 + (-6) =$

Combine the terms in the expression: $4 r + 9 r - 11 r + 7 r$ .

Calculate the sum of -38 and -16: $-38 + (-16)$ .

Calculate the sum: $-4 + (-3) =$

A spinner has sections 1, 2, and 3. Answer these:
1. Count favorable outcomes.
2. Sample space $S=\{1,2,3\}$ .
3. Count total outcomes.
4. Fraction favorable? (e.g., $1 / 2$ ).
5. Fraction unfavorable? (e.g., $1 / 2$ ).