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Iteru [2.4K]
3 years ago
5

Thomas bought several paintbrushes for $4 each. He paid with a $20 bill. The expression 20 – 4n is used to determine how much ch

ange Thomas receives. What does the variable n represent?
Mathematics
1 answer:
Tresset [83]3 years ago
4 0

Answer:

the variable n represents how many of the product thomas bought

Step-by-step explanation:

20 dollars is the initial amount of money, and for every paintbrush, you have to subtract 4 dollars from thomas's initial amount, and the result of the subtraction is the amount of change he will recieve.

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PLEASE HELP ME!!!! I NEED THIS QUICKLY!!
zloy xaker [14]

Part A: y=-\frac{5}{4} x+\frac{35}{2} is the equation of the line.

Part B: Anika worked 17.5 hours on day 0.

Part C: The setup time decreases with 1 hour and 15 min per day.

Explanation:

Part A: Let us find the equation of the line using the points (2,15) and (6,10)

The equation of the line is given by,

y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \cdot\left(x-x_{1}\right)

Substituting, we get,

y-15=\frac{10-15}{6-2} (x-2)

Simplifying, we have,

y-15=-\frac{5}{4} (x-2)

y-15=-\frac{5}{4} x+\frac{5}{2}

Subtracting both sides by 15, we get,

y=-\frac{5}{4} x+\frac{35}{2}

Hence, the equation of the line is y=-\frac{5}{4} x+\frac{35}{2}

Part B: To determine the number of hours Anika worked on day 0, let us substitute x = 0 in the equation of the line.

Thus, we get,

y=\frac{35}{2}\\y=17.5

Hence, Anika worked 17.5 hours on day 0.

Part C: The setup time decrease per day can be determined using the slope.

The formula for slope is given by

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Substituting , we have,

m=\frac{10-15}{6-2}=-\frac{5}{4}

Converting the fraction into hours and minutes, we get,

-\frac{5}{4}\times60=-75 min

Since, 1 hour = 60 min

Subtracting 60 and 75 = 15 min

Thus, the setup time decreases with 1 hour and 15 min per day.

6 0
3 years ago
The larger number is 18 more than twice the smaller. If the sum of the two numbers is 93, find
Zigmanuir [339]

Answer:

The smaller is 25

the larger is 68

8 0
3 years ago
The function f(x) varies inversely with x and f(x)=8 when x=3
Sedaia [141]

Answer:

12

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form y*x=k or y=k/x

In this problem we have

For x=3 -----> f(x)=8

so

Find the value of k

f(x)*x=k

substitute the value of x and f(x)

8*3=k

k=24

therefore

the equation is equal to

f(x)=24/x

For x=2 -------> substitute in the equation and find the value of f(x)

f(x)=24/2=12

6 0
3 years ago
Read 2 more answers
Please answer I have a freaking e in my math class​
sp2606 [1]

Answer: I would answer but the image is blocked for me- can you type the problem by any chance?

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Ten times the sum of half a number and 6 is 8
Nookie1986 [14]
10(0.5x + 6) = 8
5x + 60 = 8
5x = 8 - 60
5x = -52
x = -52/5
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