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Norma-Jean [14]
3 years ago
8

A bus traveled 336 miles in 7 hours. It traveled the same number of miles each hour. If the bus continues at the same number of

miles per hour, how many miles will the bus travel in 15 hours?
Mathematics
2 answers:
Aneli [31]3 years ago
6 0
I would use a proportion:

336 miles/7 hours = x miles/15 hours (cross multiply)

x= 720 miles
Rom4ik [11]3 years ago
5 0
The answer is 720 miles.
336/x 7/15
336 times 15=5040
5040 divided by 7= 720. X=720 miles
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Is 2x+5y+7z a trinomial?
stich3 [128]

Answer:

yes

Step-by-step explanation:

Trinomial means the equation consists of 3 terms therefore 2x+5y+7z is a trinomial.

4 0
3 years ago
Look at the triangle show on the right. The Pythagorean Theorem states that the sum of the squares of the legs of a right triang
Vladimir [108]

Answer:

cos^2\theta + sin^2\theta = 1

Step-by-step explanation:

Given

(\frac{b}{r})^2  + (\frac{a}{r})^2

Required

Use the expression to prove a trigonometry identity

The given expression is not complete until it is written as:

(\frac{b}{r})^2  + (\frac{a}{r})^2  = (\frac{r}{r})^2

Going by the Pythagoras theorem, we can assume the following.

  • a = Opposite
  • b = Adjacent
  • r = Hypothenuse

So, we have:

Sin\theta = \frac{a}{r}

Cos\theta = \frac{b}{r}

Having said that:

The expression can be further simplified as:

(\frac{b}{r})^2  + (\frac{a}{r})^2  = 1

Substitute values for sin and cos

(\frac{b}{r})^2  + (\frac{a}{r})^2  = 1 becomes

cos^2\theta + sin^2\theta = 1

3 0
4 years ago
Eva wants to buy a bicycle.The bicycle costs $240.Eva already has $42 saved.She babysits for $12 per hour.Eva needs to babysit f
dimulka [17.4K]

Hi,

She lacks  240-42 = 198

She earns 12 usd per hours  so :   198 /12 =   16.5

3 0
4 years ago
5. A sum of money is divided among Ethan, Jun Wei
anastassius [24]

Answer:

$450

Step-by-step explanation:

Let E be the amount of money Ethan starts with, J be the amount Jun Wei starts with, and R be the amount Raj starts with. Let M be the total amount of money to start with.

To start:

E:J:R = 5:6:9

This means Ethan has 5/20 of M, the money to start with. This reduces to 1/4 of M.

Afterwards:

(E-50):J:R = 3:4:6

This means Ethan has 3/13 of the remaining money (which is M-50!) after giving up 50. So

E = (M/4), or 4E = M

and

(E - 50) = 3/13 * (M - 50)

We know 4E = M, so we can substitute that in:

(E - 50) = 3/13 * (4E - 50)E - 50 = (12/13)E - 150/13E - 650/13 = (12/13)E - 150/13(1/13)E = 500/13E = 500

That's how much money Ethan had to start with. But we're asked how much he has AFTER giving $50 away, so that's $450.

3 0
3 years ago
1) A ball is dropped from a height of 50 feet. How long after it is dropped will it reach a height of 18 feet?
Nookie1986 [14]

Answer: 1.41 seconds

Step-by-step explanation:

The problem gives the initial velocity by saying "dropped." This indicates a velocity of zero. Acceleration can also be found because the object is in free fall. It would experience the acceleration of gravity. We can use the kinematic equation:

(y_f-y_i)=V_it+\frac{1}{2}at^2

The velocity term completely cancels because the object was dropped with an initial velocity of 0.

(18-50)=\frac{1}{2} (32.17)t^2\\

-32=-16.085t^2\\t=\sqrt{1.989} =1.41s

8 0
3 years ago
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