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2 years ago

Pls help its due soon

Mathematics

1 answer:

slega [8]2 years ago

6 0

Answer:

Step-by-step explanation:

If the number of people in the theater must be under 240, then there must be less than 10 seats in each row on the floor to meet fire safety regulations.

if X=10 then, 15 times 10 plus 90 = 240.

Since the number of people must be under 240, there must be less than 10 seats in each row on the floor.

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At noon, ship A is 180 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing north at 25 km/h. How fast is

weeeeeb [17]

Answer:

Step-by-step explanation:

Gotta love these motion problems!!! This one is especially tricky! At noon, ship A is 180 km west of ship B. If ship A is traveling east, it is closing its distance to ship B (if ship B didn't move). But ship B is moving north at the same time. We need to find the distance each can travel in 4 hours using the d = rt formula. For ship A. We know it's moving at 35 km/h, so in 4 hours it can move d = 35(4) which is 140 km. Remember that is closing the distance to ship B. So it is 180 - 140 directly south of ship B. This problem will turn out to be a right triangle problem of sorts. The distance of 40 km serves as the base of this right triangle.

With ship B moving north at 25 km/hr, it can travel d = 25(4) which is 100 km. This serves as the height of the triangle. We are asked to find the rate at which the distance is changing 4 hours from their starting points. We know how far each can travel in those 4 hours, so in order to find the rate of change (which is the same thing as the slope!), we take the height and divide it by the base because that is the same thing as taking the rise over the run. 100/40 is 10/4 which is a rate of change of 2.5 km/hr

5 0

3 years ago

The ratio of girls to boys who participated in the quiz bowl was 7:5. There were 42 girls in the competition. How many boys part

Zinaida [17]

The way i do it, is sort of like this :

Is 7 a factor of 42?
Is 5 a factor of 42?

7 is a factor of 42.
It must be in multiples of 7!

Therefore, we have 5 on the other side, which makes it 5 x 7 = 35

7 0

3 years ago

Probability help!

bagirrra123 [75]

Answer:

90%

Step-by-step explanation:

Since Brandon has a 25% chance of hitting a target, and there is 8 targets, you can take 25% of 8. This will get you an answer of 2. So, in this way Brandon has a 90% chance of hitting at least one target.

7 0

3 years ago

What is the value of Z

Gemiola [76]

180 - (62+95) = 23 °

5 0

3 years ago

Read 2 more answers

Dillon plans to invest $16,000 part at 4% simple interest and the rest at 5% simple interest what is the most he can invest at 4

marishachu [46]

Answer:

Step-by-step explanation:

The simple interest formula is P * r * t = I, where P is the initial investment, r is the interest rate in decimal form, t is the time in years. This problem would be best solved by making a table, one row for account 1 and one row for account 2 with the formula along the top:

P * r * t = I

acct 1

acct 2

First let's fill in our years. The words "per year" were used, so the time in each row is a 1:

P * r * t = I

acct 1 1

acct 2 1

Now let's fill in the interest rates as decimals:

P * r * t = I

acct 1 .04 1

acct 2 .05 1

Now for the principle amount. If all we have to invest is 16000 and we put x into one account, then all we have left to put into the other account is what's left after taking x out of 16000, or 16000 - x.

P * r * t = I

acct 1 x .04 1

acct 2 16000 - x .05 1

The formula tells us that we multiply the P times the r times the t to get I, so lets do that. Multiply straight across the top to get an interest of .04x. Multiply straight across the bottom to get an interest of .05(16000 - x) which, after distributing, is 800 - .05x:

P * r * t = I

acct 1 x .04 1 = .04x

acct 2 16000-x .05 1 = 800 - .05x

We need the amount of interest that we earn from both of these accounts to equal 700, so add the last column and set it equal to 700:

.04x + 800 - .05x = 700. Combine like terms to get

-.01x = -100 so

x = 10,000

That means that the account which has an interest rate of 4% can have 10,000 in it while the other account has 6,000 in it.

5 0

3 years ago