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sergiy2304 [10]
3 years ago
5

Peter drive 320 miles in 8 hours . calculate his average speed .

Mathematics
2 answers:
Ad libitum [116K]3 years ago
6 0

Answer: 40

Step-by-step explanation:

You will take the miles he drove and divided it by the time it took him to get there

320/8=40

noname [10]3 years ago
6 0
Peter drive 320 miles in 8 hours . calculate his average speed .

The formula is Speed = Distance over Time. So 320 divided by 8 which is 40. So speed = 40
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Mrs. Kelly creates a garden. She buys 15 flowers and 3 bushes for a total cost of $160.32. Each bush costs $11.50 more than each
Brut [27]

The cost of each bush is $ 18.49

<h3><u>Solution:</u></h3>

Let "f" be the cost of each flower

Let "b" be the cost of each bush

<em><u>Given that Mrs. Kelly buys 15 flowers and 3 bushes for a total cost of $160.32</u></em>

15 flowers x cost of each flower + 3 bushes x cost of each bush = 160.32

15 \times f + 3 \times b = 160.32

15f + 3b = 160.32  ----- eqn 1

<em><u>Each bush costs $11.50 more than each flower</u></em>

Cost of each bush = 11.50 + cost of each flower

b = 11.50 + f  ------ eqn 2

<u><em>Let us solve eqn 1 and eqn 2 to find values of "b" and "f"</em></u>

Substitute eqn 2 in eqn 1

15f + 3(11.50 + f) = 160.32

15f + 34.5 + 3f = 160.32

18f = 160.32 - 34.5

18f = 125.82

<h3>f = 6.99</h3>

Substitute f = 6.99 in eqn 2

b = 11.50 + 6.99 = 18.49

<h3>b = 18.49</h3>

Thus the cost of each bush is $ 18.49

8 0
3 years ago
A random draw is being designed for 210 participants. A single winner is to be chosen, and all the participants must have an equ
Over [174]

Answer: The correct number of balls is (b) 4.

Step-by-step explanation:  Given that a single winner is to be chosen in a random draw designed for 210 participants. Also, there is an equal probability of winning for each participant.

We are using 10 balls, numbered through 0 to 9. We are to find the number of balls which needs to be picked up, regardless of order, so that each of the 210 participants can be assigned a unique set of numbers.

Let 'r' represents the number of balls to be picked up.

Since we are choosing from 10 balls, so we must have

^{10}C_r=210.

The value of 'r' can be any one of 0, 1, 2, . . , 10.

Now,

if r = 1, then

^{10}C_1=\dfrac{10!}{1!(10-1)!}=\dfrac{10!}{1!9!}=\dfrac{10\times 9!}{1\times 9!}=10

If r = 2, then

^{10}C_2=\dfrac{10!}{2!(10-2)!}=\dfrac{10!}{2!8!}=\dfrac{10\times 9\times 8!}{2\times 1\times 8!}=45

If r = 3, then

^{10}C_3=\dfrac{10!}{3!(10-3)!}=\dfrac{10!}{3!7!}=\dfrac{10\times 9\times 8\times 7!}{3\times 2\times 1\times 7!}=120

If r = 4, then

^{10}C_4=\dfrac{10!}{4!(10-4)!}=\dfrac{10!}{4!6!}=\dfrac{10\times 9\times 8\times\times 7\times 6!}{4\times 3\times 2\times 1\times 6!}=210.

Therefore, we need to pick 4 balls so that each participant can be assigned a unique set of numbers.

Thus, (b) is the correct option.

4 0
3 years ago
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What is the area of this figure?
Furkat [3]

Answer:

416

Step-by-step explanation:

since this is a trapezoid, you would calculate the area by the formula

(a+b )h/2 where h is the height and a and b are the 2 bases

When you plug the values in you get the answer as 416

Hope this Helps!

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Answer:

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Step-by-step explanation:

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Write 456 in expanded notation using powers of 10​
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Answer:

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Step-by-step explanation:

456 means 400+50+6

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3 years ago
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