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asambeis [7]
2 years ago
15

Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 4 h, and Car B traveled the dista

nce in 4.5 h. Car B traveled 5 mph slower than Car A. (The formula R⋅T=D , where R is the rate of speed, T is the time, and D is the distance can be used.) How fast did Car B travel? Enter your answer in the box.
Mathematics
2 answers:
UkoKoshka [18]2 years ago
8 0
Given that car B travelled 5 mph slower than car A, let the rate (R) at which car B travelled be x, then the rate at which car A travelled is given by x + 5.

Given the formular RT = D, then the distance travelled by car A is given by 4(x + 5) and the distance travelled by car B is given by 4.5x.

Given that both cars travel an equal distance, then 4(x + 5) = 4.5x
4x + 20 = 4.5x
4.5x - 4x = 20
0.5x = 20
x = 20 / 0.5 = 40

Therefore, car B travel at 40 mph.
balu736 [363]2 years ago
5 0

for those who cannot see the verified awnser its car b traveled at 40 mph

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Eighty percent of one store's customers paid with credit cards. Forty customers came in that day. How many customers paid for th
mario62 [17]
80%=.8

40*.8=32

32 people made their purchases with credit cards.
6 0
2 years ago
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You jog 6/23 miles around a track each day. If you jogged that distance 4 times last week, how many miles did you jog?
LenaWriter [7]
Well, since you jogged 6/23 mi. a day, for 4 days, it'll be (6/23)×4. This is 24/23 which is one mile and 1/24 of one.
6 0
2 years ago
This line plot shows something about trails in a state park. What is true about the data in this line plot?
Zepler [3.9K]

Answer:

The total length of the Dogwood Trail is 24 kilometers

The difference between the lengths of the trails is 6 kilometers

Step-by-step explanation:

<u><em>The complete and correct question is</em></u>

The diagram shows two different nature trails in a state park. The solid line shows the Dogwood Trail. The dashed line shows the Elm Trail.

Which of the following statements are true about the lengths of the trails? Check all that apply.

1.The total length of the Dogwood Trail is 16 kilometers.

2.The total length of the Dogwood Trail is 24 kilometers.

3.The Elm Trail is longer than the Dogwood Trail.

4.The difference between the lengths of the trails is 2 kilometers.

5.The difference between the lengths of the trails is 6 kilometers.    

<u><em>The picture in the attached figure</em></u>

step 1

Find the value of a

Applying the Pythagorean Theorem in the right triangle ABC

13^2=a^2+5^2\\a^2=169-25\\a^2=144\\a=12\ km

step 2

Find the value of b

Applying the Pythagorean Theorem in the right triangle CDE

5^2=b^2+3^2\\b^2=25-9\\b^2=16\\b=4\ km

step 3

Find the total length of the Dogwood Trail (solid blue line)

The total length is equal to

AD=AB+BC+CE+ED ---> by segment addition postulate

substitute the given values

AD=a+5+b+3=(a+b+8)\ km

substitute the value of a and b

AD=(12+4+8)=24\ km

step 4

Find the total length of the Elm Trail  (dashed red line)

The total length is equal to

AD=AC+CD ---> by segment addition postulate

substitute the given values

AD=13+5=18\ km

<u><em>Verify the following statements</em></u>

Part 1) The total length of the Dogwood Trail is 16 kilometers

The statement is false

Because

The total length of the Dogwood Trail is 24 kilometers (see the explanation)

Part 2) The total length of the Dogwood Trail is 24 kilometers

The statement is true (see the explanation)

Part 3) The Elm Trail is longer than the Dogwood Trail

The statement is false

Because

The Elm Trail is smaller than the Dogwood Trail

18\ km < 24\ km

Part 4) The difference between the lengths of the trails is 2 kilometers

The statement is false

Because

The difference is equal to

24-18=6\ km

Part 5) The difference between the lengths of the trails is 6 kilometers

The statement is true

Because

The difference is equal to

24-18=6\ km

4 0
2 years ago
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I received a letter from your competitor that mentions a savings of 15% over your prices. Can you match this offer? My current r
exis [7]

Given my current rate = $129.00 per month.

Savings of 15% over your prices.

Therefore, saving = 15% of $129.00 = 0.15 × 129.00 =$19.35.

Adjusted rate = current rate - saving = 129 - 19.35 = $109.65

Therefore, We can rewrite above expression as :

My current rate is $129.00<u> </u><u>per month</u>." Representative: "We will match any competitive offer. Your adjusted rate will be <u>109.65 </u>dollars per month."


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