Today the coast of a gallon of gas is $2.65. Every week for the next 10 weeks, it will increase by $0.05.a gallon. If you wrote a linear equation to model this situation,what would the slope be?

Answers

Answer 1

Answer: We don't need to know how many weeks it kept up
that same rate of increase.

You just told us that it increases by $0.05 a gallon each week.

So the slope of a graph during that period is $0.05 / week.

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A cyclist bikes x distance at 10miles per hour and returns over the same path at 8miles per hour .what is the cyclists average rate for the round trip in miles per hour

Answers

average speed = total distance travelled / time taken
in this case total distance = 2x miles

time taken for first half of the journey = x/10 hours and for second part its x / 8 hours

average speed = 2x / ( x/10 + x/8) = 2 x / ( 4x + 5x / 40)
= 2x * 40 / 9x = 80 / 9 mph 8.89 mph

The purchasing director of a bank has just received a shipment of 100 printers. She has been told that the shipment includes 5 defective printers. She randomly selects two printers and tests them. If both printers work,the purchasing director accepts the shipment.A)First find the probability that the two printers work.
B)Now use the idea of complements to find the probability that the shipment is rejected.

Answers

Since there is a 95% chance that you get two printers right, then you simply square the decimal equivalent which is .95 (Hence, you do .95^2). You will get .9025 (or 90.25%).

For letter b, you simply subtract .9025 from 1.
ans = 1-.9025
ans = .0975 (or 9.75%)

So the answer to B) would be there is a 9.75% chance the probability of a shipment can be rejected.

One gym charges $40 per month and $3 per exercise class. Another gym charges $20 per month and $8 per exercise class. After how many classes will the monthly cost be the same and what will the cost be?Its a Systems Question.

Answers

y=3x+40
y=8x+20
when they are the same
3x+40=8x+20
x=4
so at 4 sessions they will be the same but the one that charges 8 per class will become more costly

What is the slope of graph 8x + 2y=13

Answers

Answer: -4

Step-by-step explanation:

To find the slope of the graph represented by the equation 8x + 2y = 13, we need to rearrange the equation into slope-intercept form, which is y = mx + b.

Let's solve for y:

8x + 2y = 13

2y = -8x + 13

y = -4x + 6.5

Now we can see that the coefficient of x, which is -4, represents the slope of the graph.

Therefore, the slope of the graph is -4.

How is statement B related to statement A? Statement A: If two angles are not vertical, then the angles are not congruent.
Statement B: If two angles are vertical, then the angles are congruent.
A) Inverse
B) Converse
C) Conditional
D) Contrapositive

Answers

This is an Inverse.
Final Answer : A

This is because each part (the hypothesis and conditional) were reversed.

Find the 10th term of the sequence 1, 5, 9, 13, 17, . . . 33 37 41

Answers

the sequence is 4x-3
the 10th term would be
4×10-3
40-3
37

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