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wolverine [178]
3 years ago
13

In one design being considered for the containers shaped like a rectangular prism, each container will have a height of 11 1/2 i

nches and length of 7 1/2 inches. What will be the width, in inches, of the container? The volume needs to be 258 3/4 please explain how as well
Mathematics
1 answer:
vfiekz [6]3 years ago
7 0

Answer:

3 inches

Step-by-step explanation:

The volume of a rectangular prism is the product of length, width, and height. Fill in the information you have in the formula, and solve.

... V = LWH

... 258 3/4 = (7 1/2)×W×(11 1/2)

... W = (258 3/4)/((7 1/2)(11 1/2))

This computation can be done using fractions, but it is probably more easily done using decimal numbers. Of course, you know that 3/4 = 0.75 and 1/2 = 0.5. Then ...

... W = 258.75/(7.5×11.5) = 3

The width is 3 inches.

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If each slice of pizza is 1/16 of the pizza what is the decimal form of 8 slices of pizza
Damm [24]

Answer:

0.5

Step-by-step explanation:

8 slices of a pizza cut into 16 pieces is a half of the pizza. A half is 0.5

3 0
3 years ago
1. What is the area of the trapezoid? The diagram is not drawn to scale. (1 point)
Dmitry [639]

Answer:

60

Step-by-step explanation:

Area of trapezoid:

\frac{1}{2}(b1+b2) * h

The top base of the trapezoid is given as 7 cm. The bottom base of the trapezoid can be found with 7+5+5 = 17 cm. The height is given as 5 cm. Then, plug these values into the formula.

\frac{1}{2} (7+17) * 5

= \frac{1}{2} (24) *5

= 12*5

= 60

8 0
3 years ago
Read 2 more answers
6 ( x - 1 ) = 9( x - 4 ) solve for x<br>I'm giving points pls answer fast<br>​
Alex

Answer:

x = 10

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

6(x - 1) = 9(x - 4)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute:                                   6x - 6 = 9x - 36
  2. Subtract 6x on both sides:        -6 = 3x - 36
  3. Isolate <em>x</em> term:                             30 = 3x
  4. Isolate <em>x</em>:                                      10 = x
  5. Rewrite:                                       x = 10

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    6(10 - 1) = 9(10 - 4)
  2. Subtract:                              6(9) = 9(6)

Here we see that the 2 expressions are exactly the same.

∴ x = 10 is the solution to the equation.

6 0
2 years ago
Write the algebraic equation for the following: The sum of 4 and another number is 22.
s344n2d4d5 [400]

Answer:

4+x=22

Step-by-step explanation:

Hope this helps

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2 years ago
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What is f(3) if f(x) = 4x + 1?
lana [24]

Answer:

What is the inverse of the function f(x) = 1/4x - 12? h(x) = 4x + 48. Which statement is true regarding the functions on the graph? f(3) = g(3)

Step-by-step explanation:

4 0
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