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AnnyKZ [126]
3 years ago
8

Mary left with a speed of 51 mph. Alyssa left in the opposite direction at the same time traveling 68 mph. How long does Alyssa

need to travel before that are 315 miles apart
Mathematics
2 answers:
QveST [7]3 years ago
7 0

Answer:

2.65 hours

Step-by-step explanation:

relative speed = 51 + 68 = 119

315 / 119 = 2.65 hours

Sindrei [870]3 years ago
6 0

Answer: it will take 2.65 hours

Step-by-step explanation:

Let t represent the time it takes for them to be 315 miles apart.

By the time both of them are 315 miles apart, then, they would have travelled a total distance of 315 miles.

Distance = speed × time

Mary left with a speed of 51 mph. This means that the distance that she would travel in t hours is 51 × t = 51t

Alyssa left in the opposite direction at the same time traveling 68 mph. This means that the distance that she would travel in t hours is 68 × t = 68t

Since the total distance is 315 miles, the.

51t + 68t = 315

119t = 315

t = 315/119

t = 2.65 hours

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The length of the hypotenuse AB will be equal to 17 cm.

<h3>What is trigonometry?</h3>

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.

It is given that:-

Side AC is 8 cm

Side CB is 15 cm

By using the Pythagorean theorem:-

AB² =  AC²  +  BC²

AB² =  8²     +   15²

AB² =  64    +    225

AB² =  289

AB  =  √289

AB  =  17  cm

Hence the length of the hypotenuse AB will be equal to 17 cm.

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4 0
2 years ago
10) Chris invested $5,500. The investment had a simple interest rate of 3.5%. If he plans to leave the
Oksi-84 [34.3K]

Chris will have $7810 at the end of 12 years in his account if the simple interest rate is 3.5%.

According to the question,

We have the following information:

Chris invested $5,500. The investment had a simple interest rate of 3.5%. And he plans to leave the investment alone for 12 years.

Now, we know that the following formula is used to find the simple interest on an investment:

Interest = principal*rate*time/100

Principal = $5500

Rate = 3.5

Time = 12 years

Interest = (5500*3.5*12)/100

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Now, the total amount in his account will be:

5500+2310

$7810

Hence, Chris will have $7810 at the end of 12 years in his account if the simple interest rate is 3.5%.

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5 0
1 year ago
A random sample of 4000 U.S. citizens yielded 2150 who are in favor of outlawing cheesing. Find the point estimate for estimatin
Darina [25.2K]

Answer:

0.5375

Step-by-step explanation:

The point estimate of  proportion of all Americans who are in favor of outlawing cheese can be computed as

p=x/n

Here. x is the number of favorable outcomes and n is sample size.

We are given that x=2150 and n=4000, So,

p=2150/4000

p=0.5375.

Thus, the point estimate of  proportion of all Americans who are in favor of outlawing cheese is 0.5375.

6 0
4 years ago
Drag each percent to match the situation. Each percent may be used only once.
Svetllana [295]

Answer:

1:80%

2:95%

3:15%

4:33 1/2%

7 0
3 years ago
Kate and Jean paint a house together in 6 days. If they work alone, Kate takes 5 fewer days than Jean would take to do the same
ELEN [110]
Katework+jeanwork=6
work alone
Katework=-5+Jeanwork
ad 5 to both sides
Katework+5=jeanwork
subsitute 5+katework for jeanwork
5+katework+kateworkwork=6
subtract 5 from both sides
2katework=1
divide both sides by 2
katework=0.5days

equation would be
jeanwork+katework=6 and
katework=jeanwork-5 are the equations

5 0
3 years ago
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