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bixtya [17]
3 years ago
14

Amelia was showing off her basketball skills. She scored a total of 14 shots for a total of 32 points. How many 2 point and 3 po

int shots did she make?
Mathematics
1 answer:
Anit [1.1K]3 years ago
5 0

Answer:

Step-by-step explanation:

x+y=14

y=14-x

2x+3y=32, using y=14-x we have

2x+3(14-x)=32

2x+42-3x=32

-x+42=32

-x=-10

x=10, and since y=14-x

y=14-10=4

So Amelia made 10 two-pointers and 4 three-pointers.

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Factor 48m + 42n to identify the equivalent expressions
Ksenya-84 [330]

The equivalent expressions are 2(24m + 21n) and 3(16m + 14n) and 6(8m + 7n)

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

Given that, we have to factor the given expression

<em><u>Given expression is:</u></em>

48m + 42n

The equivalent expressions can be found by factoring out the common factors of 48 and 42

<em><u>Let us first find the factors of 48 and 42</u></em>

The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42

The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Thus the common factors are: 1, 2, 3, 6

Let us factor out 2 from given expression

48m + 42n = 2(24m+21n)

Now factor out 3 from given expression

48m + 42n = 3(16m + 14n)

Now factor out 6 from given expression

48m+42n=6(8m + 7n)

Thus the equivalent expressions are 2(24m + 21n) and 3(16m + 14n) and 6(8m + 7n)

7 0
3 years ago
How to make 8/11 into and improper fraction
kogti [31]
8/11 cant be an improper fraction because the numerator is smaller than the denominator
7 0
3 years ago
Which values for A and B will create infinitely many solutions for this system of equations? Ax-y=8 2x+y=B plss hurry im being t
Lynna [10]

Answer:

A=-2

B=-8

Step-by-step explanation:

In order for the system of linear equations to have infinitely many solution, they must be the same equation.

Ax-y=8

2x+y=B

We need to choose A and B so they are the same equation.

I notice they are both in the same form but in the second column you have opposites;

the -y and y.

So im going to multiply either equation by -1 so that part is exactly the same.

Don't choose both; choose only one.

Let's multiply the first equation by -1.

Doing this gives us the following:

-Ax+y=-8

2x+y=B

So now we can choose A and B so these equations appear exactly the same.

We need -A=2 and B=-8.

-A=2 implies A=(opposite of 2) which is -2.

Conclusion:

A=-2

B=-8

5 0
3 years ago
Read 2 more answers
)Tessa had $35. She bought a book for $7 and a magazine for $5. Which expression correctly shows the total money Tessa has left?
Sergeu [11.5K]
Total - book $ - magazine $

Which is equal to:

Total + (-book $) + (-magazine $)
$35 + (-$7) + (-$5)


ANSWER: (C) $35 + (-$7) + (-$5)

Hope this helps! :)
4 0
3 years ago
What are the solutions to cos 2x = - 1​
N76 [4]

Answer:

X can be - 1/2 or 0.5

2x0.5=-1

Step-by-step explanation:

4 0
3 years ago
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