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IrinaVladis [17]

3 years ago

10

For his off-road bike, Jackson measures that he needs a brake cable 24 1/8 in. long. The parts catalog shows cables in decimal m

easurements. Which cable length should he order?
A. 24.125 in.

B. 24.275 in.

C. 24.375 in.

D. 24.775 in.

1 answer:

statuscvo [17]3 years ago

8 0

.125 * 8 = 1

A is the answer.

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You are choosing between two mugs. One has a base that is 5.5 inches in diameter and a height of 3 inches. The other has a base

professor190 [17]

We should choose mug 1 having volume of 71.24 inch³ ,with diameter 5.5 inches and height 3 inches holds the most !

<u>Step-by-step explanation:</u>

We have 2 mugs, One has a base that is 5.5 inches in diameter and a height of 3 inches. The other has a base of 4.5 inches in diameter and a height of 4 inches. Basically, mugs are cylinders so we will consider 2 cylinders .

To find which one holds the most we are supposed to find volume of both ,the one with maximum volume holds the most.

<u>Part 1: </u>

volume of cylinder 1 ( $V_{1}$ )= πr₁²h₁ ,

r₁ = radius of cylinder ⇒ $\frac{\text {diameter}}{2}=\frac{5.5}{2}=2.75 \text { inches }$

h₁ = height of cylinder ⇒ 3 inches

∴ $V_{1}$ = πr₁²h₁

⇒ 3.14×( 2.75 )²×3 ⇒ 71.24 inch³

<u>Part 2:</u>

volume of cylinder 2 ( $V_{2}$ )= πr₂²h₂

r₂ = radius of cylinder ⇒ $\frac{\text {diameter}}{2}=\frac{4.5}{2}=2.25 \text { inches }$

h₂ = height of cylinder ⇒ 4 inches

∴ $V_{2}$ = πr₂²h₂

⇒ 3.14×( 2.25 )²×4 ⇒ 63.59 inch³

∵ $V_{1}$ ( 71.24 inch³ ) > $V_{2}$ ( 63.59 inch³ ), mug 1 with diameter 5.5 inches and height 3 inches holds the most.

4 0

3 years ago

best answer will be awarded the brainliest and 5 stars which answer shows 4x4x4x4x4x4x4x4x4x4x4 correctly in exponential form se

oksian1 [2.3K]

4^11

4 = 4^1
4x4 = 4^2
etc

4 0

3 years ago

Read 2 more answers

3x+7y=-6<br> 7x+3y=26<br> solve by elimenation

Artemon [7]

3x+7y=-6 -7x+3y=26 -4x+4y=-32 +4x on both sides and you end up with 4y=-32+4x now divide both sides by 4 and you get y=-8+x then to incorporate that in one of the problems 3x+7(-8+x)=-6 do the distributive property with the 7 into the () and you get 3x-56+7x=-6 now add all common variables and get 10x-56=-6 now add 56 to both sides and you get 10x=50 now divide by 10 on both side and you get x=5 now for getting y to equal a number instead of an equation 3(5)+7y=-6 15+7y=-6 subtract 15 on both sides to get 7y=-21 not divide by 7 on both sides to get y=-3 your answers are y=-3 and x=5

4 0

3 years ago

What is the answer for this -6+x=-11

Mars2501 [29]

Answer:

x = -5

Step-by-step explanation:

-6 + x = -11

x = -11 + 6

x = -5

8 0

3 years ago

Read 2 more answers

Solve for the largest value of $x$ such that $5(9x^2+9x+10) = x(9x-40).$ Express your answer as a simplified common fraction.

irinina [24]

Hello, please consider the following.

$\begin{aligned}5(9x^2+9x+10) &= x(9x-40)\\&=9x^2-40x\end{aligned}\\\\ 45x^2+45x+50=9x^2-40x\\\\ (45-9)x^2+(45+40)x+50=0\\\\ 36x^2+85x+50=0$

We can estimate the discriminant, and then, the solutions and we take the largest one.

$\Delta=b^2-4ac=85^2-4*36*50=25=5^2\\\\x_1=\dfrac{-85-5}{2*36}=\dfrac{-18*5}{18*4}=\dfrac{-5}{4}\\\\x_2=\dfrac{-85+5}{2*36}=\dfrac{-80}{72}=\dfrac{-8*10}{8*9}=\boxed{\dfrac{-10}{9}}$

Thank you

7 0

3 years ago