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k0ka [10]
3 years ago
8

John went on a vacation to Florida. He drove 350 miles in 5hours. He ran into road work on the way home and his average rate of

speed was twenty mph slower than his speed on the way there. If he left his condo at noon headed home what time will he get home?
Mathematics
1 answer:
postnew [5]3 years ago
3 0

Answer:

7:00

Step-by-step explanation:

First I figured out the MPH for the ride there by dividing 350 by 5 which was 70 MPH which is the average rate of speed. Next, I subtracted by 20 since the ride home his average speed was 20 less than before which got me 50 MPH. Then, I divided 350 by 50 to get the hours it took him with his setback which was 7. Lastly, I added 7 hours to noon (12:00) and got 7:00

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Solve the equation: 5 + 2(3 + 2x) = x + 3(x + 1)
Ann [662]

Answer:

No solutions

Step-by-step explanation:

In this question, you would be solving for x.

Solve:

5 + 2(3 + 2x) = x + 3(x + 1)

Use the distributive property.

5 + 6 + 4x = x + 3x + 3

Combine like terms.

11 + 4x = 4x + 3

Subtract 4x from both sides.

11 = 3

Since we don't have an "x value", there are no solutions.

"No solutions" would be your answer.

5 0
3 years ago
Towns P,Q,R and S are shown. Q is 35 km due East of P S is 15km due West of P R is 15km due South of P Work out the bearing of R
Anni [7]

Answer:

Part A

The bearing of the point 'R' from 'S' is 225°

Part B

The bearing from R to Q is approximately 293.2°

Step-by-step explanation:

The location of the point 'Q' = 35 km due East of P

The location of the point 'S' = 15 km due West of P

The location of the 'R' = 15 km due south of 'P'

Part A

To work out the distance from 'R' to 'S', we note that the points 'R', 'S', and 'P' form a right triangle, therefore, given that the legs RP and SP are at right angles (point 'S' is due west and point 'R' is due south), we have that the side RS is the hypotenuse side and ∠RPS = 90° and given that \overline{RP} = \overline{SP}, the right triangle ΔRPS is an isosceles right triangle

∴ ∠PRS = ∠PSR = 45°

The bearing of the point 'R' from 'S' measured from the north of 'R' = 180° + 45° = 225°

Part B

∠PRQ = arctan(35/15) ≈ 66.8°

Therefore the bearing  from R to Q = 270 + 90 - 66.8 ≈ 293.2°

6 0
3 years ago
Is √3,600 rational or irrational? Please help asap.
natima [27]

Answer:

\sqrt{3600} is rational

Step-by-step explanation:

A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers. The answer of square root of 3600 is 60 which is not a decimal or an irrational number and therefore it's rational

6 0
3 years ago
Ms. Armstrong is a carpenter. She keeps her tools in a cube-shaped box in her truck. Ms. Armstrong's toolbox is 15 inches long o
Debora [2.8K]
to find the volume you would multiply length width and height
4 0
3 years ago
Read 2 more answers
I need help asap!!!​
valentina_108 [34]
The answer is (7,6)

This is because a midpoint is in the exact middle, meaning that both sides are an equal distance away. You can find this by fining the difference between the two corresponding coordinates then adding that difference to the midpoint and that will give you your other endpoint.

Hope this helped !!
7 0
3 years ago
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