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GenaCL600 [577]
3 years ago
14

Corey is 176 miles from Tom. Traveling towards each other. If Tom travels 4 mph faster than Corey and they meet after 8 hours, h

ow fast wash each traveling.
Mathematics
1 answer:
Bingel [31]3 years ago
6 0

Answer:Corey was travelling at 9 miles per hour and Tom was travelling at 13 miles per hour.

Step-by-step explanation:

Let x represent Corey's speed.

If Tom travels 4 mph faster than Corey, it means that Tom's speed would be (x + 4) mph

Corey is 176 miles from Tom and they are traveling towards each other. If they meet after 8 hours, it means that they travelled a total distance of 176 miles in 8 hours.

Distance = speed × time

Distance travelled by Corey in 8 hours would be

8 × x = 8x miles

Distance travelled by Tom in 8 hours would be

8(x + 4) = (8x + 32) miles

Since the total distance travelled by Tom and Corey is 176 miles, then

8x + 8x + 32 = 176

16x = 176 - 32 = 144

x = 144/16 = 9 miles per hour

Tom's speed would be

9 + 4 = 13 miles per hour

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The answer is

B. -2 and 3

Step-by-step explanation :

Given the expression

x²- 5x + 6 = 0

Firstly we need to find two numbers that when multiplied will give us the constant term 6, and when added will give us the 2nd term 5

These numbers are 3 and 2

Substituting 2x +3x for 5x

x²- (2x+3x)+ 6 = 0

x²-2x-3x+6=0

(x²-2x)-(3x+6)=0

Factoring we have

x(x-2)-3(x-2)=0

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3 years ago
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The diameter of a circle is 4 cm. Which equation can be used to find its circumference?
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3 years ago
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A species of beetles grows 32% every year. Suppose 100 beetles are released into a field. How many beetles will there be in 10 y
siniylev [52]

Given that a species of beetles grows 32% every year.

So growth rate is given by

r=32%= 0.32


Given that 100 beetles are released into a field.

So that means initial number of beetles P=100


Now we have to find about how many beetles will there be in 10 years.

To find that we need to setup growth formula which is given by

A=P(1+r)^n where A is number of beetles at any year n.

Plug the given values into above formula we get:

A=100(1+0.32)^n

A=100(1.32)^n


now plug n=10 years

A=100(1.32)^{10}=100(16.0597696605)=1605.97696605

Hence answer is approx 1606 beetles will be there after 20 years.


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To find that we plug n=20 years

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Hence answer is approx 25791 beetles will be there after 20 years.



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