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stealth61 [152]
3 years ago
14

Two cars at the same point on I-75. One heads north going 75mph and one heads south going 60mph. How long will it take for the c

ars to be at 420 miles apart?
Mathematics
1 answer:
Mice21 [21]3 years ago
5 0

It will take 3 hours 6 minutes 40 seconds for the cars to be 420 miles apart.

Step-by-step explanation:

Step 1; The cars are traveling in the opposite direction at different speeds. One is going north at a speed of 75 mph while the other is going 60 mph. So for every hour, the cars are traveling they increase the distance between in between themselves by 75 miles + 60 miles = 135 miles.

Step 2; Assume that in x hours the distance between them is 420 miles. To calculate x we divide the distance to be traveled by the distance being traveled every hour.

x = distance to be covered / distance being traveled every hour

= 420 / 135 = 3.11 hours

We multiply the 0.11 hours with 60 to convert it into minutes. 0.11 × 60 = 6.66 minutes and if we do the same for seconds, 0.66 minutes × 60 = 40 seconds.

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You worked 7 3/4 hours total in the past two days and plan to work 9 3/4 hours total in the next two days how many hours will yo
Aloiza [94]
You would work
17 \times \frac{1}{2} \: hours
3 0
3 years ago
Pls tell me the rest of the angles. Angle 1 is 112.9 degrees
Annette [7]

1. 112.9

2. 67.1

3. 112.9

4. 67.1

hope that helped^^

6 0
3 years ago
5) Find the distance between -9 and 12 on a number line.​
kati45 [8]

Answer: Hope this helps!!!

Step-by-step explanation:Absolute Value: You need to find how far away both numbers are from zero, then add these values together to see how far apart these numbers. The absolute value of nine, |-9| is 9, and |12| is 12. This means that the nine is nine spots away from zero, and twelve is twelve spots from zero. This means that the numbers are 20 units from each other.

Distance -9 is from 12 You need to find how much of an increase from nine you need to reach the twelve. So -9 + ? = 12. What number can you add to equal twelve? You can add 20 to make the equation true. (? = 20) The distance from -9 to 12 is a positive 20.

Distance from 12 to -9 This is similar to the previous example. What number can you insert to make the 12 equal the negative nine? 12 - ? = -9. The number would be -20, which means that 12 is 20 spots away from the negative nine, as it took at negative twenty to get us to the negative nine.

3 0
2 years ago
Make f the subject of the formula c=<img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%28f-32%29%7D%7B9%7D" id="TexFormula1" title="\
lara31 [8.8K]

Answer:

f=\frac{9c}{5}+32

Step-by-step explanation:

c=\frac{5\left(f-32\right)}{9}

Switch sides:

\frac{5\left(f-32\right)}{9}=c

Multiply both sides by 9:

\frac{9\times5\left(f-32\right)}{9}=9c

5\left(f-32\right)=9c

Divide both sides by 5:

\frac{5\left(f-32\right)}{5}=\frac{9c}{5}

f-32=\frac{9c}{5}

Add 32 to both sides:

f-32+32=\frac{9c}{5}+32

f=\frac{9c}{5}+32

8 0
3 years ago
Find the solution to the system of equations. You can use the interactive graph below to find the solution. { y = x − 4 y = 4 x
kumpel [21]

ANSWER

x=-2,y=-6

EXPLANATION

First equation:

y = x - 4

Second equation:

y = 4x + 2

Let us equate the two equations and solve for x.

This implies that;

4x + 2 = x - 4

Group similar terms to obtain:

4x - x =  - 4 - 2

Simplify:

3x =  - 6

Divide both sides by 3

x =  - 2

Put x=-2 into any of the equations.

I will put x=-2 into the first equation:

y =  - 2 - 4

This implies that,

y =  - 6

7 0
3 years ago
Read 2 more answers
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