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2 years ago

What is the value of a in the equation 3a+b=54, when b=9?

Mathematics

1 answer:

insens350 [35]2 years ago

3 0

3a+9=54

3a+9-9=54-9

3a= 45

a=15

Check answer:

3(15)+9=54

54=54

Answer is a=15

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A rectangular prism has a base length of 6 units, base width of 5 units, and height of 4 units. The bases are shaded.

Angelina_Jolie [31]

Answer:

Part 1) The lateral area is $LA=88\ units^2$

Part 2) The area of the two bases together is $2B=60\ units^2$

Part 3) The surface area is $SA=148\ units^2$

Step-by-step explanation:

Part 1) Find the lateral area

we know that

The lateral area of a prism is given by

$LA=Ph$

where

P is the perimeter of the base

h is the height of the prism

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$h=4\ units$ ---> given

substitute

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The area of the rectangular base B is equal to

$B=(6)(5)=30\ units^2$

therefore

The area of the two bases together is

$2B=2(30)=60\ units^2$

Part 3) The total surface area is

we know that

The surface area is equal to

$SA=2B+LA$

substitute

$SA=60+88=148\ units^2$

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Which ordered pair (a, b) is a solution to the given system of linear equations? -2a+3b=14

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Answer:

The solution of the system is the ordered pair (-13,-4)

Step-by-step explanation:

we have

$-2a+3b=14$ -----> equation A

$a-4b=3$ ----> equation B

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Multiply by 2 both sides equation B

$2(a-4b)=2(3)$

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Adds equation A and equation C

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substitute the value of b in any equation (i take equation B)

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therefore

The solution of the system is the ordered pair (-13,-4)

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3 years ago

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