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Fofino [41]
8 months ago
6

6. Write an inequality to represent the following constraint.Each oil change ( x ) takes 22 minutes and each tire rotation ( y )

takes 18 minutes. There are a total of 5500 minutes available. ______ ≤ _______
Mathematics
1 answer:
Ksenya-84 [330]8 months ago
7 0

Each oil change ( x ) takes 22 minutes which can be represented as 22x.

Each tire rotation ( y ) takes 18 minutes, can be represented as 18y

Now, we have only 5500 minutes available, therefore the sum of both things can not last more than this time.

The inequality represented is:

22x+18y\leq5500

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An Internet service provider charges $18 per month plus an initial set-up fee of $45.
andrew-mc [135]
A. 18m+45=t

m=months
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b.
1 month=$63
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5 0
2 years ago
PLZ help with 6th math homework!
vitfil [10]
I'm not doing your math homework, this is to help you learn and pass your test :) I will however show you a trick. ask your self this... "What can i factor out of 4x that i can also factor out of 8, which this would be 4. Now what you do if you divide everything by 4

4x/4 = x
8/4 = 2

so 4(x+2) is 4x+8 fully factored, NOW to check, use the distributive property, Multiply 4 back into x+2
4*x = 4x
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3 0
3 years ago
Prove algebraically that (m + 2)2 – m 2 – 12 is always a multiple of 4
Julli [10]

Answer:

(m + 2)^{2} - m^{2}  - 12 = 4(m - 2)

Step-by-step explanation:

Step 1:

Write the expression

(m+2)^{2} - m^{2}  - 12

Step 2: Expand (m + 2)^{2}

(m+2)^{2} - m^{2} - 12\\(m+2)(m+2) - m^{2}  - 12\\m^{2} + 2m + 2m + 4 - m^{2}  - 12

Step 3: Collect similar terms

m^{2}  - m^{2}  + 4m + 4 - 12\\4m - 8

Step 4: Factor 4 out of the expression to prove that the expression is a multiple of 4.

Therefore\\4m - 8 = 4(m - 2)\\Hence,\\(m+2)^{2}  - m^{2} -  12 is a multiply of 4 because the expression is equal to 4(m-2)

3 0
2 years ago
Why is apr an important tool for consumers
My name is Ann [436]

Answer:

APR, or annual percentage rate, is your interest rate stated as a yearly rate. An APR for a loan can include fees you may be charged, like origination fees. APR is important because it can give you a good idea of how much you'll pay to take out a loan.

6 0
2 years ago
A conical-shaped umbrella has a radius of 0.4 m and a height of 0.45 m. Calculate the amount of fabric needed to manufacture thi
GenaCL600 [577]

Answer:

0.76m²

Step-by-step explanation:

In the above question, we are given the following information.

Radius = 0.4m

Height = 0.45m

To solve this question, The umbrella is CONICAL in shape and it has no BASE, we would be finding the lateral surface area of a cone. Since we are given height and radius :

Lateral Surface Area of a cone =

πr√(h² + r²)

= π × 0.4√(0.45² + 0.4)

= 0.7566m²

≈ Approximately = 0.76m²

Therefore, the amount of fabric needed to manufacture this umbrella is 0.76m²

8 0
3 years ago
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