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Svetlanka [38]
3 years ago
14

At a basketball game, a team made 53 successful shots.They were a combination of 1- and 2-point shots. The team scored 91 points

in all.Write and solve a system of equations to find the number of each type of shot.
Mathematics
1 answer:
iren2701 [21]3 years ago
5 0

Answer:

15 1-point and 38 2-point shots

Step-by-step explanation:

x: 1 point shots

y: 2 point shots

x + y = 53 (1)

1(x) + 2(y) = 91 (2)

From (1), x = 53 - y

In (2),

(53 - y) + 2y = 91

53 + y = 91

y = 91 - 53 = 38

x = 53 - 38 = 15

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A bag contains 8 yellow marbles and 7 red marbles. What is the probability of pulling out a yellow marble?
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Answer:

8/15

Step-by-step explanation:

there are 8 yellow marbles and 15 total marbles

5 0
3 years ago
What is the most efficient first step to isolate the variable term on one side of this equation?
Nat2105 [25]

Answer:subtract by 4x on each side first

Step-by-step explanation:

When you do so you'll get 5x on the left side of the equal sign and -5 on the right side. Next you would divide by 5 on both sides and this gives you x on the left side and -1 as your answer on the right side.

7 0
3 years ago
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You buy Apple stock for $120 per share over a period of time the stock value increased at a weekly rate of 5% you sell the stock
Rainbow [258]

Answer:

8.31  weeks

Step-by-step explanation:

Given that the cost of one share of Apple stock, C=$120

Rate is the increment of the stock value, R= 5%/week=0.05 / week.

Assuming that after t week, the stock has been sold for $180.

Since the stock value increased at 5% every week, so, the interest is compounded weekly, so

S=C\left(1+R\right)^t \\\\ \Rightarrow 180 = 120\left(1+0.05\right)^t \\\\  \Rightarrow 180 = 120\left(1.05 )^t \\\\

\Rightarrow \frac{180}{120}=1.05^t \\\\\Rightarrow 1.5=1.05^t

\Rightarrow \ln(1.5)=t \ln(1.05) [taking log both sides]

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Hence, after 8.31  weeks the stock has been sold for $180.

6 0
3 years ago
Hadley has 3/6 of a box of white envelopes and 1/3 of a box of gray envelopes. When full, each box of envelopes has the same num
QveST [7]

Answer:

<u>The two statements that apply are A and B.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

White envelopes Hadley has = 3/6 of a box

Gray envelopes Hadley has = 1/3 of a box

When full, each box of envelopes has the same number of envelopes

Hadley said she has 4/9 of a box when she puts the white envelopes and gray envelopes together.

2. Which statements describe this situation? Select the two statements that apply.

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A. Hadley’s answer is incorrect, because 3/6 is equal to 1/2 , and 4/9 is less then 1/2 .   This is correct.

B. Hadley's answer is incorrect, because 3/6 plus 1/3 equals 5/6.   This is correct.

C. Hadley's answer is incorrect, because 3/6 plus 1/3 equals 2/6.  This is wrong

D. Hadley's answer is correct, because 3 and 1 is 4, and 6 and 3 is 9. This is wrong.

<u>The two statements that apply are A and B.</u>

3 0
3 years ago
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Answer:

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