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rjkz [21]
3 years ago
13

Mark is taking pledges for bike-a-thon fundraiser. John pledged $2.00, plus $1.75 for each mile Mark bikes. Kiara pledged $5.25,

plus $0.25 for each mile Mark bikes. Write an expression for the numbers of dollars pledged and the number of dollars kiara pledged . Use M for the number of miles that Mark bikes.
Mathematics
1 answer:
Shkiper50 [21]3 years ago
4 0

Answer:

The equation for the amount of dollars pledged in total is f(M) = 2.00M + 7.25, and the amount for just Kiara is f(M) = 0.25M + 5.25

Step-by-step explanation:

The amount they pledge up front is a constant and therefore need to be added to the end of the equation. The amount per mile should be a variable amount. This gets multiplied by the M variable. So we start with the Kiara amount.

0.25 per mile = 0.25M

5.25 pledged = 5.25

Now put them together to get f(M) = 0.25M + 5.25

Do the same with Mark.

1.75 per mile = 1.75M

2.00 pledged = 2.00

Now put them together to get f(M) = 1.75M + 2.00

To get the final total, we add both equations together.

f(M) =  0.25M + 5.25 + 1.75M + 2.00

f(M) = 2.00M + 7.25

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5 0
3 years ago
How do you solve with all the steps?<br> |-2(x+2)|=1
Tanya [424]

Answer:

x = - 5/2 or x = - 3/2

Step-by-step explanation:

|-2(x+2|=1

|-2x-4|=1

- 2x - 4 = 1 or - 2x - 4 = - 1

- 2x - 4 = 1

- 2x = 4+1

x = - 5/2

or -2x - 4 = - 1

-2x = 4 - 1

x = - 3/2

7 0
2 years ago
Melissa wants to purchase a digital camera.The listed price of the camera is $195.99.The camera is no sale for 10% off and Melis
lianna [129]

Answer:

The 10% off sale will save Melissa <u>$10.49</u>.

Step-by-step explanation:

Given:

The listed price of the camera is $195.99.

The camera is no sale for 10% off and Melissa has a coupon for 5% off the sales tax is 7%.

Now, to find the money Melissa will save of the 10% off sale.

So, to get the price of camera of the 5% off sale:

(195.99-5\%\ of\ 195.99)

=(195.99-\frac{5}{100}\times 195.99)

=(195.99-9.80)

=186.19

Now, adding the sales tax:

186.19+7\%\ of\ 186.19

=186.19+\frac{7}{100} \times 186.19

=186.19+13.03

=199.22

Thus, the price is $199.22.

Now, to get the price of 10% off sale:

195.99-10\%\ of\ 195.99

=195.99-\frac{10}{100} \times 195.99

=176.39

So, adding sales tax:

176.39+7\%\ of\ 176.39

=176.39+\frac{7}{100} \times 176.39

=188.73

Hence, the price is $188.73.

Now, to get the money 10% off sale will save Melissa:

199.22-188.73

=10.49

Therefore, the 10% off sale will save Melissa $10.49.

7 0
2 years ago
A sample of 1700 computer chips revealed that 51% of the chips do not fail in the first 1000 hours of their use. The company's p
hichkok12 [17]

Answer:

The answer is -1.2

Step-by-step explanation:

Recalling the standard deviation formula,

we have : σ = sqrt[ P * ( 1 - P ) / n ]

Where sqrt = square root

n = Number of derivative

Therefore,:

if, H0: p is not 48%  vs H1: p1 = 48%

 

 

standard deviation is:

σ = sqrt[ P * ( 1 - P ) / n ] = sqrt[ .48*.49/900 ] = .01666333+ z -score is (p-P)/σ

= (.51-.53)/.01666333

The answer therefore =  -1.2

 ICONCLUSION:

It can therefore be concluded that there is statistical evidence that the proportions are different. H0 accepted in the hypothesis.

3 0
3 years ago
Read 2 more answers
PLZ HALP!! I need this to be done ASAP!!
lyudmila [28]

4.5(4-x) + 36 = 202 - 2.5(3x + 28)

Distributive property

18 - 4.5x + 36 = 202 - 7.5x - 70

Combine like terms

-4.5x + 54 = -7.5x + 132

Add 7.5x to both sides

           3x = 78

Divide both sides by 3

              x = 26

3 0
2 years ago
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