MATHEMATICS HIGH SCHOOL

Question
Simplify the expression.

(−34p)^3

Answers

Answer 1

Answer:

Answer:

I hope this is the answer you’re looking for

-39304p^3

Step-by-step explanation:

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Kwikset Enterprises sold 300 shares of stock at $12.34 per share. The underwriting commission was 5.8%. To the nearest cent, how much did Kwikset Enterprises make on its sale of stock, after subtracting the underwriting commission?
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Jada has a meal in a restaurant. She adds up the prices listed on the menu for everything they ordered and gets a subtotal of $42.00.c) They actually pay $52.99. The additional $7 is a tip for the server. What percentage of the subtotal is the tip?

-7 2/3 as an improper fraction

Answers

this one is tricky but don't mind the sign just yet

first you multiply 7 by 3 then add 2

21+2=23

now you can add the sign on 23/3 which gives us the answer of -23/3

Adding 1/2 to 1/4 equals

Answers

1/2 + 1/4= 3/4

1/2 + 1/2 = 2/4

2/4+ 1/4= 3/4

Jack’s mother gave him 50 chocolates to give to his friends at his birthday party. He gave 3 chocolates to each of his friends and still had 2 chocolates left.

Answers

Answer:

16 friends

Step-by-step explanation:

If the question you're asking is how many friends he gave chocolates to, the answer would be 16.

50 - 2 = 48 (You subtract 2 because it's the amount of chocolates he had left)

48 ÷ 3 = 16 (Now you divide 48 by the number of chocolates he was giving his

friends. The final answer is the amount of times he gave out

chocolates, a.k.a how many friends he has

Speed of Plane A = 450 mph.Speed of Plane B = 350 mph.
Both planes leave from Kansas City at the same time.
Plane A flies due West.
Plane B flies due South.

After 2.5 hours, how far is Plane A from Plane B?
A. 1,425.0
B. 1,322.0
C. 1,258.5

Answers

The distance between Plane A from Plane B is,

⇒ 1,425.0 m

What is Pythagoras theorem?

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

Given that;

Speed of Plane A = 450 mph.

Speed of Plane B = 350 mph.

And, Both planes leave from Kansas City at the same time.

Here, Plane A flies due West.

And, Plane B flies due South.

Now, Distance cover by plane A in 2.5 hours is,

⇒ 450 × 2.5

⇒ 1125 m

And, Distance cover by plane B in 2.5 hours is,

⇒ 350 × 2.5

⇒ 875 m

Thus, The distance between Plane A from Plane B is,

⇒ √1125² + 875²

⇒ 1425.0 m

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The answer would be A:

You would use distance=rate•time to solve:

450 • 2.5 = 1125
350• 2.5 = 875

Since plane A is going west and B is going south, they form a right triangle, so you can use the Pythagorean theorem to solve for the distance between them, which we will represent as x:

1125² + 875² = x²
1265625 + 765265 = x²
2030890 = x²

Once you square root x, it's about 1425.09298, which is closest to answer A, 1425.0

Two faucets are dripping. One faucet drips every 4 seconds and the other faucet drips every 9 seconds. If a drop of water falls from both faucets at the same time, how many seconds will it be before you see the faucets drip at the same time?

Answers

The time at which both the faucets drip at the same time is 36 seconds

What is Least Common Multiple?

Least Common Multiple (LCM) is a method to find the smallest common multiple between any two or more numbers. A common multiple is a number which is a multiple of two or more numbers

Given data ,

Let the time at which both faucet drips at the same time be = T

Let the first faucet be represented as = A

Let the second faucet be represented as = B

Now , the time at which the faucet A drips = 4 seconds

And , the time at which the faucet B drips = 9 seconds

So , the equation is given as

The time at which both faucets A and B drips at the same time = Least Common Multiple of both the times of faucet A and faucet B

Substituting the values in the equation , we get

The time at which both faucets A and B drips at the same time = Least common multiple of 4 and 9

Multiples of 4 = 4 , 8 , 12 , 16 , 20 , 24 , 28 , 32 , 36 , 40 ...

Multiples of 9 = 9 , 18 , 27 , 36 , 45 , 54 , 63 , 72 ...

So , 36 is the least common multiple of 4 and 9

Therefore , the value of T is 36 seconds

Hence ,

The time at which both the faucets drip at the same time is 36 seconds

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9. Identify the number of solutions to 3x + 21 = 3(x+ 7).