What is the correct equation from the choices provided.samantha begins her road trip with 30 gallons of gasoline in the tank of her van. her van gets 25 miles to the gallon. let yrepresent the number of gallons of gasoline in the tank after x miles of travel.

Answers

Answer 1

Answer: $y=-(1)/(25)x+30$

The +30 represents the 30 gallons of gasoline at the beginning of Samantha's road trip.
As each mile, x, does by, 1/25 of a gallon is lost (because the van gets 25 miles per gallon). so you put a negative 1/25 in front of the x. Therefore, when Samantha has driven x miles,she will have y gallons of gas left.

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725 miles in 8 hours ___ miles per hour

Answers

Just divide 725 miles by 8 hours and you should get 90.6 miles per hour.

The answer. is 90.625This is because you do 725 ÷8 is 90.625~JZ

Consider this scatter plot.(a) How would you characterize the relationship between the hours spent on homework and the test
scores? Explain.

(b) Paul uses the function y = 8x + 40 to model the situation. What score does the model predict for 3 h
of homework?

(c) What does the number 40 in Part (b) mean in the context of the situation?

Answers

A) the more time spent on homework the higher the test score

B) y =8x+40 = y=8(3)+40 = 24+40 = 64

C) 40 would be the test score if no time was spent doing homework

Answer:

We have been given the scatter plot:

(a)We can clearly see from the plot that there is direct proportion between the number of hours of homework and test scores.

Direct proportion means if hours of homework increases then test score increases and vice-versa.

(b) we have been given a function y=8x +40

We need to predict for 3 hours of homework put x=3 in above function as x represents hours of homework we get:

y=8(3)+40

y=24+40

y=64

Hence test score will be 64 for 3 hour of homework.

You place a mirror on the ground 6 feet from the lamppost. You move back 3 feet and see the top of the lamppost in the mirror. If you are 5 feet tall, what is the height of the lamppost?

Answers

Setting up a proportional relationship between mirror and lamppost, the height of the lamppost is 10 feets.

Height of person, Hp = 5 feets

Distance of person form mirror, Dp = 3 feets

Distance of Lampost from mirror, Dm = 6 feets

HeightofLampost=Hl=?

Setting up a proportional relationship :

$(Hp)/(Dp) = (Hl)/(Dm)$

$(5)/(3) = (Hl)/(6)$

Cross multiply :

Hl × 3 = 6 × 5

3Hl = 30

Hl = (30 ÷ 3)

Hl = 10

Therefore, the height of the lamppost is 10 feets.

Learn more :brainly.com/question/18109354

Answer: 10 feet

Step-by-step explanation:

Let h be the height of lamppost.

Since both the person and the lamppost are standing vertical to the ground, making similar right triangles.

Because the two triangles are similar, the ratio of their sides is the same.

Therefore, we have

$\frac{\text{height of lamppost}}{\text{distance of lampost from mirror}}=\frac{\text{height of person}}{\text{distance of person from mirror}}\n\n\Rightarrow(h)/(6)=(5)/(3)\n\n\Rightarrow\ h=(6*5)/(3)\n\n\Rightarrow\ h=10$

Hence, the height of the lamppost = 10 feet.

What does J equal????????????????????????????
3 + j / 11 =2

j =

Answers

Let's solve the equation step-by-step

Step 1) Simplify both sides of the equation

3+ j/11 = 2

1/11j+3=2

Step 2) Subtract 3 from both sides

1/11j + 3 - 3 = 2 - 3

1/11j = -1

Step 3) Multiply both sides by 11

11 x (1/11j) = (11) x (-1)

j = -11

Answer is.. J = -11

↑ ↑ ↑ Hope this helps! :D

$3 + (j)/(11) = 2\n\n(j)/(11) = -1\n\n j=-1 * 11\n\n\boxed{\bf{j=-11}}$

A square has a side length of 5 yards. What is its area in square feet? Use pencil and paper. Show two ways to find the answer.

Answers

5 × 5 = 25 square yards
25 × 3 = 75 square feet

PLEASE HELP I GIVE THANKS

Answers

Alright, since you know the two shapes are similar, this means the scaling ratios are the same, and all sides will produce the same fraction when compared to one another, e.i : LK to BA. You start by making a fraction of the two sides with lengths you know, giving you the fraction 10/3 from BA to LK. Then by cross multiplying in the equation below you get the answer of :

10/3= 4/y to 10y=12. then by dividing by 10 you get the answer of 1.2 cm or A

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