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2 years ago

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Mathematics

1 answer:

Dvinal [7]2 years ago

5 0

The volume of the figure is 54 cubic units

<h3>Area of a rectangular prism.</h3>

Since we are not given a figure, we can assume it as a rectangular prism:

Area of the rectangular prism = a²b

a² is the base area
b is the height of the prism

Given that a = 3 units and b = 6 units, the required volume is expressed as:

V = 3² * 6

V = 9 * 6

V = 54 cubic units

Hence the volume of the figure is 54 cubic units

Learn more on volume of prism here: brainly.com/question/23963432

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When Judy worked 4 hours and Ben worked 1 hour, their combined pay was $75. When Judy worked 2 hours and Ben worked 6 hours, the

arsen [322]

Answer:

$15

Step-by-step explanation:

let the hourly rate of pay for Ben = B

let the hourly rate of pay for Judy = J

Judy worked 4 hours and Ben worked 1 hour, their combined pay was $75;

4J + B = 75 ----- i

Judy worked 2 hours and Ben worked 6 hours, their combined pay was $120

2J + 6B = 120 --- ii

Now, we should solve the expression;

Multiply equation ii by 2 and equation i by 1;

4J + B = 75 ----- i x 1 ; 4J + B = 75 -- iii

2J + 6B = 120 --- ii x 2 ; 4J + 12B = 240 ---iv

Now,

equation iv - iii;

11B = 165

B = $15

So, solving for J;

4J + B = 75

4J + 15 = 75

4J = 75 - 15 = 60

J = $15

3 0

3 years ago

What is the value of the following expression?2 x [(12 + 2) x 5] + 32 divided by 2 number on top right 3

a_sh-v [17]

The value of the expression is $141.5$

Explanation:

The expression is $2 \times[(12+2) \times 5]+\frac{3}{2}$

The value of the expression can be determined using the rule PEMDAS.

According to the PEMDAS rule, first we need to perform the operation which is within the parenthesis.

Thus, the expression becomes,

$2 \times(14 \times 5)+\frac{3}{2}$

Multiplying the values within parenthesis, we have,

$2 \times70+\frac{3}{2}$

Using PEMDAS, we need to multiply the numbers.

$140+\frac{3}{2}$

Again using PEMDAS rule, divide the number,

$140+1.5$

Finally, using PEMDAS, let us add the values, we have,

$141.5$

Thus, the value of the expression is $141.5$

7 0

3 years ago

PLEASE HELP ASAP PSLLLSLSL look at photo

shtirl [24]

Answer:

Last one

Step-by-step explanation:

Negative one times 6r is -6r and then that eliminates two of the four. the rest is common sense tbh.... but it is the last one. Hope this helps

3 0

3 years ago

If f(x) = 6x +5 and g(x) = 2x – 7 find (fºg)(x)

adell [148]

Answer:

f(g(x)) = 12x - 37

Step-by-step explanation:

Step 1: Define

f(x) = 6x + 5

g(x) = 2x - 7

Step 2: Find f(g(x))

f(g(x)) = 6(2x - 7) + 5

f(g(x)) = 12x - 42 + 5

f(g(x)) = 12x - 37

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4 years ago

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