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

Answers

Answer 1

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

Answer 2

A system of equations for the number of three point and two point shots Wyatt made is:

[tex]3x+2y=32 [/tex]  

[tex]x+y=12[/tex]  

Let the three point shots be c.Let the two point shots be b.

Given the following data:

Total shots = 12 shots.Total points = 32 points.

What is a system of equations?

A system of equations refers to an algebraic equation of the first order that has two (2) variables with each of its term having an exponent of one (1).

Translating the word problem into an algebraic expression, we have;

For the number of three point and two point shots Wyatt made:

[tex]3x+2y=32 [/tex]    ...equation 1.

[tex]x+y=12[/tex]     ...equation 2.

Read more on word problems here: https://brainly.com/question/13170908


Related Questions

If a point is randomly chosen on the regular hexagon shown, what is the probability that it will be in a green section of the figure?

1/6
1/3
1/2
3/4

Answers

Answer:

1/2

Step-by-step explanation:

i just took the test on usatestprep

Answer:

1/2

Step-by-step explanation:

Please show all your work!!!

Answers

Answer:

y= -6/5x -3

Step-by-step explanation:

So for now lets bring it into mx + b format

Subtract 6x from both sides to isolate y which is also called subtraction property of equality.

so 5y = -6x -15

Now you divide both sides by 5 which is called division property of equality.

You now have y = -6/5x - 3

y= -6/5x -3 is the slope intercept form of the standard form equation of 6x + 5y = -15.

Hope this helps!

Look at the student work shown below.

Simplify: 6t(5s + 7).

(6t)(5s) + 7

30st + 7

Did the student correctly simplify the expression? If “yes,” explain the steps the student followed. If “no,” explain what the student did wrong and what should have been done. 20 points. WILL MARK THE BRIANLIEST!!!! PLS HURRY!! ANY WRONG ANSWERS WILL BE FLAGGED.

Answers

Answer:

NO WRONG (6T)(5S)+7 IS WRONG YOU ARE SOPOSED TO ADD THAT 6+5=11      11+7=18    18 DIVIDED BY 7=2.5

Step-by-step explanation:

SORRY FO CAPLOCK THAT HOW I TYPE SIR

Priya noticed in the last activity that between the 2 triangles, you only need to know 4 angles to show that they are similar. She wondered which fourth angle would work to prove that triangle RST is similar to triangle EFG. Draw a sketch of the triangle. Then pick one angle measurement that would prove the triangles are similar. Explain to Pyria why knowing that angle would be enough.

Answers

Answer:

Please find attached a drawing of the triangles ΔRST and EFG showing the angles

The angle on ΔEFG that would prove the triangles are similar is ∠F = 25°

Step-by-step explanation:

In order to prove that two triangles are similar, two known angles of each the triangles need to be shown to be equal

Given that triangle ∠R and ∠S of triangle ΔRST are 95° and 25°, respectively, and that ∠E of ΔEFG is given as 90°, then the corresponding angle on ΔEFG to angle ∠S = 25° which is ∠F should also be 25°

Therefore, the angle on ΔEFG that would prove the triangles are similar is ∠F = 25°.

7/8 = 21/k whats k ​

Answers

Answer:

k = 24

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define

7/8 = 21/k

Step 2: Solve for k

Cross-multiply:                              7k = 168Divide both sides by 7:                 k = 24

Step 3: Check

Plug in k to verify it's a solution.

Substitute:                    7/8 = 21/24Simplify:                        7/8 = 7/8

Here we see that 7/8 does indeed equal 7/8. ∴ k = 24 is a solution.

you would use cross multiplication to solve.
7(k) = 8(21) , 7k = 168 , k = 24

Alex is making chocolate cakes. For each cup of milk he uses, he needs to use 1/2 cups of flour. For each
cup of flour he uses, he needs to use 1/3 cup of cocoa powder. Alex is making enough cakes that he needs
to use 4 cups of milk. How many cups of cocoa powder does Alex need to use?

Answers

answer: 2/3 (or 0.67) cups of cocoa

Step-by-step explanation: since you need to use 1/2 cups of flour for each cup of milk you divide 4 by 2 and you get 2 then you multiply 2 by 1/3 to get your answer

at least that's what i got

A rope is tied to a 8 ft falling tree. What could be the length of the rope, if the
person is 10 ft from the tree?
help :))

Answers

Answer:

10 ft

Step-by-step explanation:

quadrilateral ABCD is inscribed in circle E. the m<A=152 find m<C​

Answers

Answer:

The angle for C is 28°.

Step-by-step explanation:

In a cyclic quadrilateral, opposite angles are supplementary which means that both angles add up will be 180° :

∠A + ∠C = 180°

152° + ∠C = 180°

∠C = 180° - 152°

∠C = 28°

Answer:

B. 28

Step-by-step explanation:

The answer above me is right, I used their answer on my question earlier and I ended up getting the question right. Hope this helps!

what is an expression equivalent to
4b + 5y - 3b + 8y

Answers

Answer:

b + 13y

Step-by-step explanation:

4b + 5y - 3b + 8y = 4b - 3b + 5y + 8y

I rearranged the like terms together.

4b - 3b + 5y + 8y = b + 13y

Simplify.

Tell me which if these two tables are functions or not and why

Answers

they are not. hope you have an amazing dayyy!! <3

460divided by 9 estimated would be 50

Answers

Answer:

it would be 51

Step-by-step explanation:

460 divided by 9 is 51.111...

so the estimated result would be 51 since 51.111... rounds down to 51

51.1♾ The ones just go on forever and ever

please help!!

My age today is
three times what it
will be three years
from now
minus three times
what my age was three
years ago.
How old am I?

Answers

18, correct me if I’m wrong :)

Find the slope of the line that passes through the given points.
(-5, 2) and (-2,8)
A 1/2
B 2
C -2
D) 6/7
E -6/7

Answers

Answer:

I do not know

Step-by-step explanation:

Find the slope of the line that goes through the points (0, 9) and (-2, -4).

Answers

Answer:

I think it is 13 over 2

Step-by-step explanation:

You rent an apartment that costs $1800 per month during the first year, but the rent is set to go up 9.5% per year. Write a recursive formula to show what the rent is during the nth year of living in the apartment.

Answers

1800 a month, that’s expensive, 9.5 percent per year. Wow

Answer:

Step-by-step explanation:

You rent an apartment that costs \$1800$1800 per month during the first year, but the rent is set to go up \$160$160 per year. What would be the monthly rent during the 9th year of living in the apartment?

\text{Write out the first 3 terms:}

Write out the first 3 terms:

a_1=1800\leftarrow \text{rent in 1st year}

a

1

=1800←rent in 1st year

a_2=1960\leftarrow \text{rent in 2nd year}

a

2

=1960←rent in 2nd year

a_3=2120\leftarrow \text{rent in 3rd year}

a

3

=2120←rent in 3rd year

\text{Arithmetic Sequence: }d=160

Arithmetic Sequence: d=160

The common difference

\text{Explicit Formula: }

Explicit Formula:

a_n=

a

n

=

\,\,a_1+(n-1)d

a

1

+(n−1)d

a_{\color{green}{9}}=

a

9

=

\,\,1800+(\color{green}{9}-1)(160)

1800+(9−1)(160)

a_{9}=

a

9

=

\,\,3080

3080

Is the relation a function?
(9,-8) (12, 7) (1, 13) (-9, 3) (4, 0)
Yes
No
No answer text provided.
O No answer text provided.

Answers

Answer: Yes, this relation is indeed a function

Sonja's credit card has an APR of 21%, calculated on the previous monthly
balance, and a minimum payment of 2%, starting the month after the first
purchase. Her credit card record for the last 7 months is shown in the table
below.
End of Previous New Payment Finance Principal New
month balance
charges received charges paid balance
1
$0.00
$700.00 $0.00 $0.00 $0.00 $700.00
2 $700.00 $0.00 $14.00 $12.25 $1.75
$698.25
3 $698.25
$0.00 $13.97 $12.22 $1.75 $696.50
4 5696.50 $0.00 $13.93
$12.19 $1.74 $694.76
5 $694.76 $0.00 $13.90 $12.16 $1.74 $693.03
$693.03 $0.00 $13.86 $12.13 $1.73 $691.29
7 $691.29 $0.00 $13.83 $12.10 $1.73
5689.57
O
UN
About what percentage of Sonja's payments so far have gone to paying
interest?
O A. 10%
O B. 21%
O C. 23%
O D. 87%

Answers

Answer: D 87%

Step-by-step explanation:

Ap-ex

Consider the equation and its solution.
8(x-2) = 64
8x-18-84
8x = 80
X=10
Which property is used in the last step to find thatx-10?
distributive property
addition property of equality
subtraction property of equality
division property of equality

Answers

Answer:

division property of equality

Step-by-step explanation:

The property used in the last step to find x = 10 in the expression is the division property of equality.

      8(x-2) = 64

      8x-18 = 84

        8x = 80

         x = 10

In 8x = 80 ;

 Division property of equality was used to find the value of x.

The property states that when we divide both sides by a non-zero value, the two sides remains the same.

GIVING BRAINLIEST AFTER TWO ANSWERS ARE GIVEN!!! WILL CHOOSE THE BEST ONE!!!

Answers

Answer:

D

Step-by-step explanation:

Answer:5

Step-by-step explanation:

hihihi


Please help me with 11

Answers

Answer:

19 minutes

Step-by-step explanation:

find the average of the 2 highest years of experience

.

Can someone please help? I’m a little stuck here.

Factor Differences Of squares.

Answers

Answer:

29. 9p(2p+1)(2p-1)

31. 4k(2k+5)(2k-5)

Step-by-step explanation:

29. 9p(36p^3/9p-9p/9p)

9p(4p^2-1)

9p((2p)^2-1^2)

9p(2p+1)(2p-1)

31. 4k(16k^3/4k+-100k/4k)

4k(4k^2-25)

4k((2k)^2-5^2)

4k(2k+5)(2k-5)

Is (25, -50) a solution to the equation y = 450 + 20x

Answers

Answer:

no

Step-by-step explanation:

[tex]\sqrt[3]{250} -\sqrt[3]{54}[/tex]
help plzz

Answers

Answer:

exact form: 2 ^3√2

Step-by-step explanation:

A recipe for giant soap bubbles uses 1/2 cup dishwashing liquid and 4 1/2 cups of water. How many cups of water will be used with 1 1/2 cups of dishwashing liquid?
A. 5 1/2
B. 6
C. 9
D. 13 1/2.​

Answers

Answer: D. 13 1/2.​

Step-by-step explanation:

1/2*3= 1 1/2 cups of dishwashing liquid.

4 1/2*3= 13 1/2 cups of water will be used with 1 1/2 cups of dishwashing liquid.

We want to factor the following expression: (x+7)^2+2y(x+7)+y^2 which patter can we use to factor the espression? U and V are either constant integers or single-variable expressions.

A. (U+V)^2 or (U-V)^2
B. (U+V)(U-V)
C. We can’t use any of the patterns.

Answers

Answer:

A. (U+V)^2 or (U-V)^2

Step-by-step explanation:

Who is most likely to be in favor of protectionist policies? A. A government that wants to contain the cost of public services B. A producer who is concerned about training workers C. A consumer who wants to pay lower prices D. A factory worker who is concerned about keeping a job

Answers

Answer:

A. A government that wants to contain the cost of public services

Step-by-step explanation:

Find the length of AC

Answers

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[tex] \cot(A) = \frac{AC}{BC} \\ [/tex]

[tex] \cot(60°) = \frac{AC}{8 \sqrt{3} } \\ [/tex]

[tex] \frac{1}{ \sqrt{3} } = \frac{AC}{8 \sqrt{3} } \\ [/tex]

[tex] \frac{AC}{8 \sqrt{ 3} } = \frac{1}{ \sqrt{3} } \\ [/tex]

Multiply sides by 83

[tex]8 \sqrt{3} \times \frac{AC}{8 \sqrt{3} } = 8 \sqrt{3} \times \frac{ 1 }{ \sqrt{3} } \\ [/tex]

[tex]AC = 8[/tex]

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The point (2, 1) is a solution to which of the following systems of equations?

2x + y = 5 and −2x + y = 2
−2x − y = −5 and 2x − y = 2
−x + y = 3 and −3x + y = −5
x + y = 3 and 3x − y = 5

Answers

[tex]\huge\boxed{\left \{ {{x+y=3} \atop {3x-y=5}} \right.}[/tex]

We can solve this problem by testing the solution against each system of equations. We'll do this by substituting the point into each equation for each system.

System 1 - [tex]\Large\textbf{X}[/tex]

[tex]\begin{array}{c|c}\textbf{First Equation}&\textbf{Second Equation}\\\cline{1-2}\begin{aligned}2x+y&=5\\2(2)+1&=5\\4+1&=5\\5&=5\\&\checkmark\end{aligned}&\begin{aligned}-2x+y&=2\\-2(2)+1&=2\\-4+1&=2\\-3&=2\\&\text{X}\end{aligned}\end{array}[/tex]

System 2 - [tex]\Large\textbf{X}[/tex]

[tex]\begin{array}{c|c}\textbf{First Equation}&\textbf{Second Equation}\\\cline{1-2}\begin{aligned}-2x-y&=-5\\-2(2)-1&=-5\\-4-1&=-5\\-5&=-5\\&\checkmark\end{aligned}&\begin{aligned}2x-y&=2\\2(2)-1&=2\\4-1&=2\\3&=2\\&\text{X}\end{aligned}\end{array}[/tex]

System 3 - [tex]\Large\textbf{X}[/tex]

[tex]\begin{array}{c|c}\textbf{First Equation}&\textbf{Second Equation}\\\cline{1-2}\begin{aligned}-x+y&=3\\-2+1&=3\\-1&=3\\&\text{X}\end{aligned}&\begin{aligned}-3x+y&=-5\\-3(2)+1&=-5\\-6+1&=-5\\-5&=-5\\&\checkmark\end{aligned}\end{array}[/tex]

System 4 - [tex]\Large\checkmark[/tex]

[tex]\begin{array}{c|c}\textbf{First Equation}&\textbf{Second Equation}\\\cline{1-2}\begin{aligned}x+y&=3\\2+1&=3\\3&=3\\&\checkmark\end{aligned}&\begin{aligned}3x-y&=5\\3(2)-1&=5\\6-1&=5\\5&=5\\&\checkmark\end{aligned}\end{array}[/tex]

Since both equations in the final system are true when solved with [tex](2, 1)[/tex], the answer is the last system.

Emilio throws a marshmallow into the air from his balcony. The height of the marshmallow (in feet) is represented by the equation h= −16t^2 + 8t + 48, where t is the time (in seconds) after he throws the marshmallow.


How long does it take the marshmallow to hit the ground, where h=0?


0.5 minutes

3 seconds

1.5 minutes

1.5 seconds

*2 seconds* answer

2 minutes

0.5 seconds

3 minutes

Sorry I don't need help

Answers

Answer:

b trust me

Step-by-step explanation:

trust

2
Select the correct answer.
Simplify the following expression.

Answers

Answer:

The answered would be 1/64 since it's simplified

Answer:

I think the exact form is 1/64

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