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murzikaleks [220]
2 years ago
5

Sam baby-sat for x hours and earned $75. If he baby-sits for y more hours at the same rate, his total earnings will be $100. Whi

ch of the following equations represents this situation? A. 75 + x y = 100 B. 75 + ( 75 x y ) = 100 C. 75 + ( 75 x ) y = 100 D. 75 + ( 75 y ) x = 100
Mathematics
1 answer:
77julia77 [94]2 years ago
5 0

The situation can be modeled with the linear equation:

$75 + y*($75/x) = $100

<h3>Which of the following equations represents this situation? </h3>

We know that if she wors for x hours, she earns $75.

This means that the amount that she gets per hour is:

R = $75/x.

Now, if she works y more hours, then she gets another $25 (for a total of $100).

We can write this as a linear equation:

y*($75/x) = $25

We can rewrite this as:

$75 + y*($75/x) = $100

So the correct option is B.

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

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Step-by-step explanation:

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Now Multiply

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Now Reduce.

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Answer: 0.5

Step-by-step explanation:

Binomial probability formula :-

P(x)=^nC_x\ p^x(q)^{n-x}, where P(x) is the probability of getting success in x trials , n is the total trials and p is the probability of getting success in each trial.

Given : The probability that the adults follow more than one game = 0.30

Then , q= 1-p = 1-0.30=0.70

The number of adults surveyed : n= 15

Let X be represents the adults who follow more than one sport.

Then , the probability that fewer than 4 of them will say that football is their favorite sport,

P(X\leq4)=P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)\\\\=^{15}C_{0}\ (0.30)^0(0.70)^{15}+^{15}C_{1}\ (0.30)^1(0.70)^{14}+^{15}C_{2}\ (0.30)^2(0.70)^{13}+^{15}C_{3}\ (0.30)^3(0.70)^{12}+^{15}C_{4}\ (0.30)^4(0.70)^{11}\\\\=(0.30)^0(0.70)^{15}+15(0.30)^1(0.70)^{14}+105(0.30)^2(0.70)^{13}+455(0.30)^3(0.70)^{12}+1365(0.30)^4(0.70)^{11}\\\\=0.515491059227\approx0.5

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Answer:

In the first week, Micah bought 11 gallons of gas.

In the second week, Micah bought 8 gallons of gas.

Step-by-step explanation:

Given:

First week

x gallons of gas at $2.39 per gallon

x gallons = $2.39x

Second week

3 fewer gallons of gas than the first week at $2.49 per gallon

x - 3 gallons = $2.49(x-3)

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Add 7.47 to both sides

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Divide both sides by 4.88

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Answer:

Step-by-step explanation:

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