Expression

Problem 7801

Round the following numbers to the nearest tens: 63, 35, 821.

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Problem 7802

Calculate the expression: 25(56)+9÷32^{5}(5-6)+9 \div 3.

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Problem 7803

Calculate 915547915 - 547.

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Problem 7804

What is 475 rounded to the nearest hundred?

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Problem 7805

Explain your solution for 10×410 \times 4 thousands using a place value chart.

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Problem 7806

Find the ratio of 8 weeks to 7 days as a simplified fraction.

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Problem 7807

Calculate the sum: (155151.49)2151.49+(131134.51)2134.51+(179161.03)2161.03+(125142.97)2142.97+(103124.48)2124.48+(132110.52)2110.52\frac{(155-151.49)^{2}}{151.49} + \frac{(131-134.51)^{2}}{134.51} + \frac{(179-161.03)^{2}}{161.03} + \frac{(125-142.97)^{2}}{142.97} + \frac{(103-124.48)^{2}}{124.48} + \frac{(132-110.52)^{2}}{110.52}.

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Problem 7808

A group has 5 men and 7 women. 6 people are chosen.
a. How many ways to select 6 from 12? b. How many ways to select 6 women from 7? c. What is the probability all selected are women? a. Ways to select 6 from 12 is (126)\binom{12}{6}.

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Problem 7809

A group has 7 men and 6 women. Select 3 people. Find: a. Ways to choose 3 from 13. b. Ways to choose 3 women from 6. c. Probability all selected are women. a. The number of ways to select is (133)\binom{13}{3}.

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Problem 7810

Find the probabilities for the following scenarios with 6 comics (A, B, C, D, E, F): a. B first, b. F second & A fourth, c. order B, F, A, C, D, E, d. D or E fifth.

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Problem 7811

Find the value of the function f(x)=x3f(x) = x^{3} at x=5x = 5.

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Problem 7812

Find the probability that all 3 dealt cards are clubs from a 52-card deck.
P(all 3 cards are clubs)=?P(\text{all 3 cards are clubs}) = ?

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Problem 7813

A hand has 5 cards from a 52-card deck. Find: a. Total 5-card hands, b. Heart flush hands, c. Probability of a heart flush.

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Problem 7814

If lines mm and nn are parallel and 2=35\angle 2 = 35^{\circ}, find 5\angle 5. Choices: 145145^{\circ}, 155155^{\circ}, 180180^{\circ}, 5555^{\circ}.

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Problem 7815

Rationalize the denominator: (a) 243\frac{24}{\sqrt{3}}

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Problem 7816

Simplify the expression 46\frac{4}{\sqrt{6}}.

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Problem 7817

Simplify the expression 10t2t5t\frac{10 t^{2}-t}{5 t}.

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Problem 7818

Calculate the value of X52.056+7.23X_{52.056+7.23}.

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Problem 7819

Find the integral of 1x2x+1\frac{1}{x^{2}-x+1} with respect to xx.

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Problem 7820

Simplify the expression: 18w4x914w5x5\frac{18 w^{4} x^{9}}{14 w^{5} x^{5}}.

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Problem 7821

Calculate (4a3b2)2(3a2b)\left(-4 a^{3} b^{2}\right)^{2} \cdot\left(3 a^{2} b\right).

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Problem 7822

Simplify the expression: (8x36x4+3)(3x33+8x4)(8 x^{3}-6 x^{4}+3)-(3 x^{3}-3+8 x^{4}).

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Problem 7823

Factor the polynomial 4m39m2m+254 m^{3}-9 m^{2}-m+25.

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Problem 7824

Simplify the expression: (2m2n5n3+4m4n2)(7n3+8m4n27m2n) (2 m^{2} n - 5 n^{3} + 4 m^{4} n^{2}) - (7 n^{3} + 8 m^{4} n^{2} - 7 m^{2} n) .

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Problem 7825

Find Letisha's total in checking, savings, and college accounts after 12 months if she deposits \$125, \$75, and \$50 monthly.

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Problem 7826

Calculate the total ticket cost for 23 students and 2 teachers at \$39 each. Find the expression and the total cost.

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Problem 7827

Calculate the expression (3+8)15(3+8) \cdot 15.

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Problem 7828

Rewrite 2(x+4)2(x+4) using the distributive property and simplify the expression.

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Problem 7829

Calculate (5+n)3(5+n)^{3}.

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Problem 7830

Simplify (5+n)3(5+n) 3 using distribution.

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Problem 7831

Multiply 9 by 73-\frac{7}{3} and simplify your answer.

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Problem 7832

Simplify w4w2w^{4} \cdot w^{2}.

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Problem 7833

Simplify the expression: 10x2+5x8x2+2-10 x^{2}+5 x-8 x^{2}+2.

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Problem 7834

Simplify: 3x279x2+11+5x3 x^{2} - 7 - 9 x^{2} + 11 + 5 x.

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Problem 7835

For a prime number w>2w > 2, when is w2zw^{2} z a negative even integer for zz in which set? A. Negative integers B. Positive odd integers C. Positive even integers D. Negative odd integers E. Negative even integers

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Problem 7836

Calculate the product of 2.01 and 0.43: 2.01×0.432.01 \times 0.43.

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Problem 7837

Evaluate h4gh - 4g for g=3g=3 and h=49h=49.

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Problem 7838

Identify a rational number between 7 and 8 from these options: 7.837 . \overline{83}, 52\sqrt{52}, neither A and C, both A and C.

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Problem 7839

Write a scientific notation number greater than 500 and less than 5.000. Who did it right? Justice: 5.25×1035.25 \times 10^{3}, Blaire: 6.1×1036.1 \times 10^{3}, Denzet: 5.78×1025.78 \times 10^{2}, Piper: 3.5×103.5 \times 10.

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Problem 7840

Find the difference between -4 and 6. Options: 10-10, 2-2, 2, 10.

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Problem 7841

Which expression equals 22+(32)22 + (-32)? 22+(22)+(10)22 + (-22) + (-10), 22+22+(10)22 + 22 + (-10), 22+(22)+1022 + (-22) + 10, or 22+0+3222 + 0 + 32?

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Problem 7842

Find the percent of the sum of the two least box tops collected compared to the two most: Rooms 100, 159, 206, 215.

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Problem 7843

Calculate the value of sin45+cos50\sin 45^{\circ} + \cos 50^{\circ} without a calculator.

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Problem 7844

Find the percent of the sum of the lowest two box tops collected compared to the highest two. Rooms: 600, 1000, 300, 800. Options: (A) 30%, (B) 50%, (C) 65%, (D) 70%, (E) 80%.

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Problem 7845

Factor completely: 7x2+35x+42=7x^{2} + 35x + 42 =

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Problem 7846

Find the slope of the line connecting the points (1,0) and (3,8). Choose the correct answer: (A) 14-\frac{1}{4}, (B) -4, (C) 4, (D) 14\frac{1}{4}.

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Problem 7847

Simplify the following expressions:
1. 38×34=3^{8} \times 3^{4}=
2. 810×87=8^{10} \times 8^{7}=
3. m5×m2=m^{5} \times m^{2}=
4. b12÷b5=b^{12} \div b^{5}=
5. 612×66÷68×62=6^{12} \times 6^{6} \div 6^{8} \times 6^{2}=
6. c5×c4=c^{5} \times c^{4}=

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Problem 7848

How many times more Marvel graphic novels (10610^{6}) were sold than DC comic books (10310^{3})?

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Problem 7849

Calculate 62+3+5×26^{2}+3+5 \times 2 and show the steps.

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Problem 7850

Calculate (2.5×1010)(7×106)(2.5 \times 10^{-10})(7 \times 10^{-6}) and express in scientific notation.

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Problem 7851

Compare 8.76×1068.76 \times 10^{6} and 8.76×1028.76 \times 10^{2}. Complete: 3.76×1063.76 \times 10^{6} is Choose... times Choose. than 8.76×1028.76 \times 10^{2}.

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Problem 7852

Convert 0.000000783 to scientific notation.

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Problem 7853

Convert 19.2×10819.2 \times 10^{8} minutes to hours.

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Problem 7854

Find the slope of the line through points A(4,-3) and B(-4,-1).

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Problem 7855

Convert 19.2×10819.2 \times 10^{8} minutes to hours.

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Problem 7856

Convert 6.16×1066.16 \times 10^{6} to standard form.

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Problem 7857

Convert 68,500,00068,500,000 to scientific notation.

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Problem 7858

Convert the number 0.00037 into scientific notation.

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Problem 7859

Calculate 22(123)532^{-2} \cdot(12 \cdot 3)-5^{3}.

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Problem 7860

Match the expression: 27((33)1)27 \cdot\left(\left(3^{3}\right)^{-1}\right)

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Problem 7861

Convert 35\frac{3}{5} to a percentage, 98.3%98.3\% to a decimal, find 78%78\% of 100, and convert 0.616 to a percentage.

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Problem 7862

What is the scientific notation for the number 855,000,000,000?

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Problem 7863

What is the standard form of the number 6.14×1096.14 \times 10^{-9}? Drag the answer into the box.

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Problem 7864

Convert 35\frac{3}{5} to a percentage, 98.3%98.3\% to a decimal, find 78%78\% of 100, and convert 0.616 to a percentage.

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Problem 7865

Calculate 275.75113.5+36.125275.75 - 113.5 + 36.125 and round to the correct significant figures.

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Problem 7866

Convert 35\frac{3}{5} to a percentage, 98.3%98.3\% to a decimal, find 78%78\% of 100, and convert 0.616 to a percentage.

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Problem 7867

Divide 4134 \frac{1}{3} by 25\frac{2}{5}.

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Problem 7868

Calculate the sum of 5.295+33.75+2.125.295 + 33.75 + 2.12 and express your answer with the correct significant figures.

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Problem 7870

Calculate 0.505÷0.20.505 \div 0.2 and round your answer to the correct number of significant figures.

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Problem 7871

Calculate 3.25×102+3.572×103+6.125×1013.25 \times 10^{-2} + 3.572 \times 10^{-3} + 6.125 \times 10^{-1} and round to the correct significant figures.

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Problem 7872

Calculate the area of a kite with diagonals 7 yards and 2 yards using the formula 12×d1×d2\frac{1}{2} \times d_1 \times d_2.

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Problem 7873

Calculate the toy sales ratio: Ratio=Number SoldNumber Remaining \text{Ratio} = \frac{\text{Number Sold}}{\text{Number Remaining}} for each toy type.

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Problem 7874

Factor the polynomial 18x27-18x - 27 completely.

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Problem 7875

Factor the expression: (2x2)(x+5)(2x-2)(x+5).

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Problem 7876

Find the midpoint MM of the segment with endpoints K(7,7)K(7,7) and L(1,3)L(1,3). A. (3,2)(-3,-2) B. (3,2)(3,-2) C. (3,2)(-3,2) D. (3,2)(3,2)

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Problem 7877

Find the number of protons, electrons, and neutrons in a bromine-80 atom.

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Problem 7878

Simplify the expression to a single power of 4: 45424^{5} \cdot 4^{2}.

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Problem 7879

Calculate the average atomic mass of Chromium (Cr).

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Problem 7880

Simplify 36×33^{6} \times 3 to a single power of 3.

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Problem 7881

Determine the number of significant figures in the number 2.005×1092.005 \times 10^{-9}.

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Problem 7882

Find the slope of the line through points (9,10)(-9,10) and (13,13)(-13,13). Express your answer in simplest form.

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Problem 7883

Count the significant figures in the number 0.0700200.070020.

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Problem 7884

Calculate the value of (3+3)2(3+3)^{2}.

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Problem 7885

Simplify the rational expression: 5c215c320c2d+25c2\frac{5 c^{2}-15 c^{3}}{20 c^{2} d+25 c^{2}}. Which is equivalent?

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Problem 7886

Simplify the expression 110xy25xz\frac{110 x y}{25 x z}.

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Problem 7887

Simplify 2x210x32x2\frac{2 x^{2}}{10 x^{3}-2 x^{2}}, 110x31\frac{1}{10 x^{3}-1}, 15x1\frac{1}{5 x-1}, 110x3\frac{1}{10 x^{3}}.

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Problem 7888

Identify which of the following expressions equals 1 and which equals -1:
x+33+x3xx3 \frac{x+3}{3+x} \quad \frac{3-x}{x-3}

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Problem 7889

2.5×$1.50=2.5 \times \$ 1.50=

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Problem 7890

Calculate the expression: 32+5(3)+9-3^{2}+5(-3)+9.

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Problem 7891

Calculate the expression: 62+8(6)36^{2}+8(6)-3.

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Problem 7892

Find the total thickness of a beam made of 5 boards, each 1341 \frac{3}{4} inches thick. What is the total thickness? A. 4344 \frac{3}{4} inches B. 6 inches C. 7 inches D. 7127 \frac{1}{2} inches E. 8348 \frac{3}{4} inches

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Problem 7893

Calculate the expression: 42+6(4)+3-4^{2}+6(-4)+3.

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Problem 7894

Calculate the expression: 625(6)46^{2}-5(6)-4.

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Problem 7895

A country has 45 states. If the average area is 180,126 km², is this a statistic or a parameter? Choose A, B, C, or D.

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Problem 7896

Set a drill to go 38\frac{3}{8} of the way through a 2.5 cm thick sheet. How deep should the drill be set?

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Problem 7897

Find the slope of the line connecting points (6,9) and (7,1). Choose the correct answer: (A) 18-\frac{1}{8}, (B) -8, (C) 18\frac{1}{8}, (D) 8.

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Problem 7898

Find the slope of the line connecting the points (9,6)(-9,-6) and (3,9)(3,-9). Choices: (A) -4 (B) 14-\frac{1}{4} (C) 4 (D) 14\frac{1}{4}

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Problem 7899

How much clearance is needed for 5 layers of insulation that are 3123 \frac{1}{2} inches thick each? Options: F. 101210 \frac{1}{2}, G. 121212 \frac{1}{2}, H. 16, J. 171217 \frac{1}{2}, K. 19.

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Problem 7900

Rationalize the denominator. 8112\frac{\sqrt{8}}{11-\sqrt{2}}

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