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Tpy6a [65]
3 years ago
6

Wyatt is a high school basketball player. In a particular game, he made some three point shots and some two point shots. Wyatt m

ade a total of 12 shots altogether and scored a total of 32 points. Write a system of equations that could be used to determine the number of three point shots Wyatt made and the number of two point shots he made. Define the variables that you use to write the system.
Mathematics
2 answers:
blagie [28]3 years ago
7 0

Answer:

Step-by-step explanation: let, ryan made x 3 point shots and y 2 point shots.

we know, x + y = 12

y = 12- x ........eqn1

we also know,

total points he made = 32

3x + 2y = 32 .......eqn2

solve eqn 1 and eqn 2

n200080 [17]3 years ago
4 0

Let x= the number of three point shots made}

Let y= the number of two point shots made}

3x+2y=32  first eqn

y=12-x second eqn

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On average, Mercury is about 57 , 000 , 000 km from the sun, whereas Neptune is about 4.5 x 10^9 from the sun. What is the diffe
Svetlanka [38]

On average, Mercury is about 57,000 ,000 km from the sun, whereas Neptune is about 4.5 x 10^9 km from the sun. What is the difference between Mercury's and Neptune's distance from the sun?

<h3><em><u>Answer:</u></em></h3>

Difference between Mercury's and Neptune's distance from the sun is 4.443 \times 10^9 \text{ km }

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

Given that,

Distance of mercury from sun = 57, 000, 000 km

Distance of Neptune from sun = 4.5 \times 10^9 \text{ km }

To find: Difference between Mercury's and Neptune's distance from the sun

<em><u>Let us convert distance of mercury from sun to scientific notation</u></em>

Scientific notation is used to represent a decimal number between 1 and 10 multiplied by ten, so you can write large numbers using less digits

<em><u>Steps to remember:</u></em>

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.

Count how many places you moved the decimal point. This number is b.

If you moved the decimal to the left b is positive.

If you moved the decimal to the right b is negative.

If you did not need to move the decimal b = 0.

Write your scientific notation number as a x 10^b

57, 000, 000 = 5.7 \times 10^7

Therefore,

Distance of mercury from sun = 5.7 \times 10^7 \text{ km }

<em><u>Calculating difference between Mercury's and Neptune's distance from the sun:</u></em>

difference = Distance of Neptune from sun - Distance of mercury from sun

\text{ difference } = (4.5 \times 10^9) - (5.7 \times 10^7)

Let us make both powers same

\text{ difference } = (4.5 \times 10^9) - (0.057 \times 10^9)

Taking 10 power 9 common we get,

\text{ difference } = 10^9(4.5-0.057)\\\\\text{ difference } = 10^9 \times (4.443)\\\\\text{ difference } = 4.443 \times 10^9

Thus difference between Mercury's and Neptune's distance from the sun is 4.443 \times 10^9 \text{ km }

3 0
4 years ago
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MArishka [77]

Answer:

38,000 seconds

Step-by-step explanation:

Divide 114,000 (total points) by 3 (points per second).

The result is 38,000.

I hope this helped, and please mark this as brainliest!

5 0
4 years ago
Ryan is buying cherries that cost $1.92 per pound. If he buys 1/5 pounds of cherries, how much will it cost him?
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you do 1 divided by 5

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Vlada [557]

Answer:

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Step-by-step explanation:

4 0
4 years ago
Read 2 more answers
Since there are 12 tenths you need to regroup. you can regroup 12 tenths as 1 whole and 2 tenths
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1 whole, 1 tenth, 10 ones = 12 tenths
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