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Lunna [17]
2 years ago
6

Simplify PLEASE HELP

Mathematics
2 answers:
krek1111 [17]2 years ago
5 0

Answer:

1.75a - 11

Step-by-step explanation:

Remember your order of operations, first you want to start inside the parantheses. Nothing can be simplified there so move on to multiplication.

Distribute (mutiply) ¾ with (5a - 16) as well as -⅓ with (6a - 3) to get

3.75a - 12 - 2a + 1

Combine like terms, so 3.75 with -2a as well as -12 with 1.

1.75a - 11

Which you could also write as

⁷⁄₄a - 11 or 1¾a - 11

Dmitrij [34]2 years ago
4 0

\dfrac 34(5a-16) - \dfrac 13(6a-3)\\\\=\dfrac{15a}4 - \dfrac{48}4 - 2a + 1\\\\=\dfrac{15a}4 -12-2a+1\\\\=\dfrac{15a}4 -2a -11\\\\=\dfrac{15a-8a-44}{4}\\\\=\dfrac{7a-44}4

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What is the volume of the plastic rocket???
Snezhnost [94]

Answer:

A) 151 in³ or 151 cubic inches

Step-by-step explanation:

Volume of rocket = Volume of Cylinder + Volume of Cone

Step 1

Find the volume of the cylinder

Volume of a cylinder = πr²h

r = Diameter/2

= 5/2 = 2.5 inches

h = 6 inches

Hence,

π × 2.5² × 6

= 117.81 cubic inches

Step 2

Find the volume of the cone

Volume of a cone =1/3 πr²h

h = 11 inches - 6 inches

= 5 inches

r = 2.5 inches

Hence,

1/3 × π × 2.5² × 5

= 32.72 cubic inches

Therefore:

Volume of rocket = Volume of Cylinder + Volume of Cone

= 117.81 cubic inches + 32.72 cubic inches

= 150.53 cubic inches

Approximately to the nearest inch = 151 in³ or 151 cubic inches

Option A is correct

7 0
3 years ago
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Bingel [31]

Answer:

Step-by-step explanation:

(0, 1) (4, -2)

(-2 - 1)/(4 -0) = -3/4

7 0
3 years ago
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Please help me asap
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