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mojhsa [17]
3 years ago
14

Which point is a solution to the linear inequality below:

Mathematics
1 answer:
gayaneshka [121]3 years ago
7 0

Answer:

A (0,0)

Step-by-step explanation:

y - 3x < 1

0 - 3(0) < 1

0 < 1

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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
Grace took one of her friends out to lunch. The lunches cost $100 and she paid 9% sales tax. If Grace left a 15% tip on the $100
8_murik_8 [283]

Answer:

124

Step-by-step explanation:

100 x .09=9

100 x ,15=15

9 + 15=24

100+24=124

3 0
3 years ago
Two species of birds are being compared. Species A can fly 18.9 miles in 42 minutes, while species B can fly 20.3 miles in 58 mi
ad-work [718]

Answer:

all i know is species A is faster, but i dont really feel like seeing witch one goes how much slower or faster

Step-by-step explanation:

ok so if you use the unit speed, you should get a higher one for species A.

6 0
3 years ago
Read 2 more answers
Consider the following equation, bh+hr=25 when solving for r
Komok [63]
Solve for r.

You want to get r by itself on one side on the equal sign.

bh + hr = 25

Subtract bh from both sides.

hr = 25 - bh

Divide h on both sides.

r = 25 - bh / h

The two h's cancel each other out.

r = 25 - b

Hope this helps!
4 0
3 years ago
Read 2 more answers
Plz help me with this question!
mart [117]

Answer:

Coefficients are 2, 5, -1. (Coefficients are the numbers before the x)

Constant is 3 (constant is the number without any x)

2x^5+0x^4+5x^3+0x^2-x+3

You start with the biggest and end with the smallest, if anything isnt present int he original equation (for example x^4 in this case) put it in with a zero before it.

4 0
3 years ago
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