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(a) Complete the story below so that it can be represented by the equation 5000 - 50x = 4800 - 30x. Pool A started with [ ] liters of water, and [ ] liters per minute [Select] P...
For problems 1-4, estimate the product. 1. 15 x 3.8 2. 7 x 4.22 3. 9.71 x 0.494 4. 211.3 x 8.429 For problems 5-8, insert a decimal point in each product to make the equation tr...
13. A trainer at a gym earns $2,456.75 every month. She earns an extra $4.75 every time she sells a gym membership. Last month, the trainer sold 32 gym memberships. What is the ...
15. \( \frac{5}{4} + \frac{5}{12} \) 16. \( \frac{11}{12} - \frac{3}{4} \) 17. Find the sum. 554.99 + 951.287 18. Find the difference. 45 - 12.19
The points W, X, Y and Z all lie on the same line segment, in that order, such that the ratio of WX : XY : YZ is equal to 5 : 2 : 5. If WZ = 36, find XZ.
In ΔPQR, m∠P = (4x + 14)°, m∠Q = (x + 16)°, and m∠R = (3x − 2)°. What is the value of x?
In ΔTUV, TV is extended through point V to point W, m∠TUV = (x + 16)°, m∠UVW = (8x − 3)°, and m∠VTU = (3x + 9)°. What is the value of x?
(a) Which city had noon temperatures with a larger interquartile range (IQR)? (b) Which city had a larger median noon temperature? (c) Which city had a smaller range of noon tem...
Rotate the triangle according to the algebraic representation below. Move the blue points to the new coordinates. (x, y) → (−y, x)
Calculate the density of Sam's coconut oil soap. Write your answer as a decimal.
Use the net to calculate the surface area in square units.
The diagram of the shadow from a building is shown. Use two points to determine the slope of the shadow. Then verify that the slope is the same by choosing a different set of po...
Choose the slope that is parallel to the following line: 4x - 5y = 10
Choose the equation that is parallel to the line given 8x - y = 7 A) y = -8x - 4 B) y = 1/8x + 5 C) y = -1/8x - 13 D) y = 8x + 12
Which equation is perpendicular to the one given?
1. Mention three things that traffic warning signs warn people of. 2. Explain the use of traffic warning signs in one sentence of your own. 3. What is the normal shape of many r...
Circle all the problems with sums less than 5. Then find the exact sums of only the problems you circled. 1. 0.24 + 4.25 2. 4.8 + 0.16 3. 2.31 + 2.075 4. 2.31 + 2.7 5. 0.909 + 4...
1. Find the perimeter of a regular octagon if one side has a measure of 8 cm. O A. 56 cm. O B. 16 cm. O C. 64 cm. O D. 72 cm.
The pressure of a certain gas in atmospheres, p, and its corresponding volume in liters, v, are shown in the table. A two column table with 6 rows. The first row, v, has the ent...
1. Order the expressions from least to greatest. A. 5 x 0.22 B. 5 x 0.201 C. 5 x 0.21 D. 5 x 0.2 2. Order the expressions from least to greatest. A. 18 x 303/1000 B. 18 x 3/10 C...
(a) Ann is working out by riding her bike. She starts by biking slowly at a constant rate. Then she gradually picks up speed until she reaches her peak. She maintains this peak ...
13. Match each expression in column A to an expression in column B that has the same value. Column A 1. \( \frac{1}{10} \times \frac{5}{1,000} \) 2. \( \frac{5}{10} \times \frac...
Check all statements that are true. Since 100 is a perfect square, \( \sqrt{100} \) is rational. Since it is a repeating decimal, \( 3.\overline{4} \) is irrational. Since 13 is...
Check all statements that are true. Since it is a ratio of two integers, 3/9 is rational. Since it is a terminating decimal, 8.2 is irrational. Since 11 is not a perfect square,...
Check all statements that are true. Since it is a repeating decimal, 13.5̅ is irrational. Since it is a terminating decimal, 17.57 is rational. Since 64 is a perfect square, √64...
Classify each number below as a rational number or an irrational number. (a) Is 4π rational or irrational? (b) Is -√49 rational or irrational? (c) Is 8/17 rational or irrational...
Classify each number below as a rational number or an irrational number. (a) Is √26 rational or irrational? (b) Is 73.40 rational or irrational? (c) Is −√16 rational or irration...
1. Determine whether each number is prime or composite. a) 29 b) 39 c) 51 d) 2 2. Write the prime factorization of 420. Show your factor tree or division steps. 3. A school orde...
7. Use prime factorization to reduce the fraction to lowest terms. Show your work. 72/168 8. Reduce before multiplying. Show your cancellations. 51/49 * 35/21 9. Factor and redu...
2. What is the simplified form of this expression? 2 • 2 • 2 • 3 • 3 ----------------- 2 • 2 • 2 • 3 • 3 • 3 a. 0 b. 2 • 3^-2 c. 1/2 d. 3^-2
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