Mathematics College

At a basketball game, a team made 53 successful shots. They were a combination of 1- and
2-point shots. The team scored 90 points in all. Write and solve a system of equations to find the
number of each type of shot.
There were
2-point shots and 1-point shots.

Answers

Answer 1

Answer:

Let x be the number of 1 point shots, and y be the number of 2 point shots.

So the system is:

x+y=53

1x+2y=90

We can solve this system by substitution.

x+y=53, x=53-y

x+2y=90

53-y+2y=90

53+y=90

y=37

That means, the team made 37 two point shots.

If the team made 37 two point shots, the team scored 37 x 2, or 74 points from 2 point shots, meaning that it made 16 one  point shots.

So the correct answer is: 16 one point shots, 37 two point shots.

Let me know if this helps!

Related Questions

This week Leah got a promotion at work that came with a 6 % pay increase. If now her monthly
salary is $2862, how much was she making before the raise?

Answers

Answer:

$2690.28

Step-by-step explanation:

2862 decrease 6% =

2862 × (1 - 6%) = 2862 × (1 - 0.06) = 2690.28

Answer:

2700

Step-by-step explanation:

106%-> 2862

100%->2700

n/10 + 8 = 12. Mental Math Solve the equation​

Answers

Answer:

= 4 0

Step-by-step explanation:

/ 1 0 + 8 =1 2

/1 0+ 8 − 8 = 1 2 − 8

SIMPLIFY

1 0 = 4

Multiply all terms by the same value to eliminate fraction denominators

1 0 = 4

1 0 ⋅ /1 0= 1 0 ⋅ 4

Simplify

n=40

Answer these please. :0

Answers

Answer:

I wrote the answers below

Step-by-step explanation:

x+3<70------>0,60

-5x<2--------->3,5

5x<2---------->-3,-1

-3x>18-------->-10,-20

what single decimal multiplier would you use to decrease by 7% followed by a 20% decrease

Answers

Answer:

x 0.27

Step-by-step explanation:

if they are both decreasing then just add the two percentages together then divide by 100 to give you your decimal answer

It would be 0.27 :)


Hope it helped hehe

7 4 9 as an improper fraction

Answers

67/9

shehsjwhwbsvwhwhw

Someone please help me ASAP

Answers

Given:

The number of alligators in a wildlife is given by the function

[tex]f(x)=3450(1.04)^{x+1}[/tex]

To find:

The average growth rate of change from the 4th year to the 7th year.

Solution:

We have,

[tex]f(x)=3450(1.04)^{x+1}[/tex]

For x=4, we get

[tex]f(4)=3450(1.04)^{4+1}[/tex]

[tex]f(4)=3450(1.04)^{5}[/tex]

[tex]f(4)=4197.4525[/tex]

For x=7, we get

[tex]f(7)=3450(1.04)^{7+1}[/tex]

[tex]f(7)=3450(1.04)^{8}[/tex]

[tex]f(7)=4721.5632[/tex]

Now, the average growth rate of change from the 4th year to the 7th year is

[tex]m=\dfrac{f(7)-f(4)}{7-4}[/tex]

[tex]m=\dfrac{4721.5632-4197.4525}{3}[/tex]

[tex]m=\dfrac{524.1107}{3}[/tex]

[tex]m\approx 174.70[/tex]

Therefore, the average growth rate of the change from the 4th year to the 7th year is 174.70 per year.

what is the square root of 64

Answers

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

8x8=64 so √64=8. hope this helps!

What is the value of n when n = -4?

Answers

The answer is in your question.. figure it out!

Answer:

what the whole question

What is the first step in solving the equation 9m - 2 = 16?
Add 2 to each side.
Subtract 2 from each side.
Divide each side by 9.
Multiply each side by 9.

Answers

Answer: Add 2 to each side

Step-by-step explanation:

9m-2=16

+2 +2

9m=18

add 2 to each side so 9m = 16 + 2

do 4 x + 15 + x have the same value when it's 5​

Answers

Answer:

If you mean 4x = 15 + x, then yes.

Step-by-step explanation:

4 × 5 = 20

15 + 5 = 20

20 = 20

I need help with this please help me :(

Answers

Answer:

6 additional toppings

Step-by-step explanation:

14+1.75= 15.75

15.75+1.75=17.5

17.5+1.75=19.25

19.25+1.75=21

21+1.75=22.75

22.75+1.75=24.5

Help me solve this pls

Answers

I think the answer is b

Sofia is a helper for the kindergarten class and is in charge of picking a video for their end-of-year party. To choose which type of movie they would like best, she decided to survey every other child entering a matinee for a cartoon called, “Three Pretty Princesses.” The total number of children surveyed was 40. What is wrong with the way she selected her sample? Check all that apply. ill give brainliest to whoever answers

Answers

Answer:

She decided to survey each other child instead of every child

Step-by-step explanation:

Sorry if im wrong

Answer:

so if you have a multie chose it would be A D E

Step-by-step explanation:

Last month, sales were £180 000.
This month, sales reached £196 200.
What percentage increase is this?
%?

Answers

-16.2! Hope it’s right sorry if it’s not!!!
9%. 180000x9%=196200

Geometry Will give Brainlist

Answers

Direct answer :[tex]\color{plum}\boxed{\bold{\tt Statements :} } [/tex]segment AE and BD bisect each other. ∠BCA and ∠DCE are equal. Segment AC and segment CE are equal. Segment BC and segment CD are equal. △ACB≅△ECD

[tex]\color{plum}\boxed{\tt Reasons : }[/tex]Given. They are vertically opposite angles, so they are equal.The bisector BD divides segment AE into two equal parts which are Segment AC and segment CE.The bisector AE divides the segment BD into two equal parts which are segment BC and segment CD.△ACB≅△ECD under the SAS congruence criterion because two sides and one included angle is equal.

Steps to derive these statements and reasons :

Given :

segment AE and segment BD bisect each other

Which means :

∠BCA and ∠DCE are equal because they are vertically opposite angles. Segment AC = segment CE because the bisector BD divides the segment AE into two equal parts which are segment AC and segment CE.segment BC and segment CD will be equal because bisector AE divides the segment BD into two equal parts which are segment BC and segment CD.

Since two sides and one included angle is equal △ACB≅△ECD under the SAS congruence criterion .

A pair of shoes that originally sold at $30 is now being offered at a 25% discount.
What is its present price?

Answers

Answer:

$22.5

Step-by-step explanation:

You will pay $22.5 for a item with original price of $30 when discounted 25%.

Answer:

Refer to explanation

Step-by-step explanation:

The screenshot you put is the correct answer, here's another method to get the same answer:

Find what 25% is.

100% = 30

1% = 30 ÷ 100 = 0.30

25% = 0.30 x 25 = 7.50

Find the price after the 25% discount.

100 - 25 = 75

75% = 30 - 7.50 = 22.50 or 0.30 x 75 = 22.50 (Both solutions give the same answer)

What is 1,000,000 written as a power with a base of 10?

Answers

Answer:

101=10 101=1

106=1,000,000 (one million) 10-5=0.00001 (one hundred thousandth)

107=10,000,000 (ten million) 10-6=0.000001 (one millionth)

108=100,000,000 (one hundred million) 10-7=0.0000001 (one ten millionth)

Step-by-step explanation:

Answer:

10^6

Step-by-step explanation:

Needing some help please

Answers

Answer: Should be (4,0)

Step-by-step explanation:

What two numbers have a sum of 142 and a difference of 16?​

Answers

Answer:

x=79,y=63 I have solve it in above picture

Convert 96 ounces to pounds.
6 lb.
O4 lb.
10 lb.
5 lb
PLS HELP

Answers

Answer:

6 lb

Step-by-step explanation:

i took math lol

PS. plzzzz tell me if u got it right

Answer:

6 lb

Step-by-step explanation:

there are 16 ounces in one pound

96/16 = 6 lb

Have a nice day

Doreen Schmidt is a chemist

Answers

Answer:

that isnt a question but good to know! :)

Step-by-step explanation:

okay


thanks for the answer ig


what is the answer to this subtraction problem​

Answers

Answer:

i d k

Step-by-step explanation:

what is f?

(6f^2 - 9f + 10) - ( -2f^2 - f + 3)

So first, you have to distribute the minus in the middle. You ALWAYS have to. So when you do that, the minus changes to a plus, and everything on the right side of it changes from positive to negative or negative to positive. So it would turn into this -

(6f^2 - 9f + 10) + (2f^2 + f - 3)

Now, you can combine like terms. Add each one that matches. (Add the ones that have 1 f, or f^2)

Answer:
8f^2 - 8f + 7

The time of a pendulum varies as the square root of its length. If the length if a pendulum which beats 15seconds is 9cm, find the length that beats 80seconds and the time of a pendulum with length 36cm

Answers

Answer:

length= 3.7 ft.

Step-by-step explanation:

T= (square root of length) * k

1.8 seconds = (square root of 3) * k

k= 1.8 seconds / (square root of 3)

a.) T= (square root of 11) k

substituting k:

T=(square root of 11) * 1.8 seconds / (square of 3)

T= 3.4 seconds

b.) 2 seconds = (square root of length) k

substituting k:

2 seconds =(square root of length) 1.8 seconds / (square root of 3)

Divide the equation by 1.8 seconds / (square root of 3):

2 seconds / [1.8 seconds / (square root of 3)] = (square root of length)

10(square root of 3) / 9 = (square root of length)

square both sides:

100/7 ft= length

length= 3.7 ft.

Hope this helps.

Which one of the points A(5.2). B(6,-3) and C(4.7) is the mid-point of the other two? Check your answer by calculating two distances.​

Answers

Answer:

A is the midpoint

Step-by-step explanation:

Given

A(5.2) B(6,-3) and C(4.7)

Required

Which is the midpoint

Midpoint is calculated using:

[tex](x,y) = \frac{1}{2}(x_1+x_2,y_1+y_2)[/tex]

Testing A as the midpoint, we have:

[tex](5,2) = \frac{1}{2}(6+4,-3+7)[/tex]

[tex](5,2) = \frac{1}{2}(10,4)[/tex]

[tex](5,2) = (\frac{1}{2}*10,\frac{1}{2}*4)[/tex]

[tex](5,2) = (5,2)[/tex]

The above equation is true. Hence, A is the midpoint of B and C

Find the value of k please

Answers

You need a graphing calculator or just use an app on your phone (Desmos is a good app to use). I show what to do in the photo below.

Sarah read 215 pages of her book during the first week of vacation. During the second week she read62 more pages then the first week

Answers

Answer:

She read 277 pages during the second week.

Step-by-step explanation:

215 + 62.

Answer: she read 277 books

Step-by-step explanation:

Identify the rate of change of the function.

Answers

67Answer:67

Step-by-step explanation:

Note that “rate of change of the function” is a trivial name for “derivative of the function”.

So we just need to find the derivative of the function.

A linear equation should be easily found by:

(y - (-5)) / (x - 0) = (-5 - 0)/(0 - 2.5)
2x - y - 5 = 0
y = 2x - 5

Taking the derivative with respect to x:
dy/dx = 2

Done.
By the way it’s equivalent to the slope of the function. ; )

Given a point translated from A(1,2) to B(4,4). If a point C at (0,0) is translated in the same way, what will be its new endpoints?


A.(−3,−2)

B.(3,2)

C.(2,2)

D.(3,3)​

Answers

Answer:

B.(3,2)

Step-by-step explanation:

Point translated from A(1,2) to B(4,4).

This means that for x, we add 3 units(4 - 1 = 3), while for y, we add two units(4 - 2 = 2).

If a point C at (0,0) is translated in the same way, what will be its new endpoints?

0 + 3 = 3

0 + 2 = 2

So

B.(3,2)

Find x. (The picture has the info)

Answers

Answer:

X=5

Step-by-step explanation:

3x+9 is twice of 12 (24). 24-9=15, and 3*5=15, so x=5.

Last Friday Trevon had $29. Over the weekend he received some money for cleaning the attic. He now has $41. How much money did he receive?
A. 29 - n = 41
B. 29 - n = 40
C. 29 + n = 41
D. 29 + n = 40

Answers

Answer:

C

Step-by-step explanation:

Trevon started with $29.

After cleaning, his total rose to $41.

Since he received money, we add that amount (n) to his initial amount of money ($29), to equal his total amount ($41)

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