Ava is a high school basketball player in a particular game she made some three point shots and some two point shots Ava made a total of 12 shots altogether and scored a total of 28 points how many of the points were three points and how many were 2 points

Answers

Answer 1

Answer:

Ava made 4 three point shots and 8 two point shots.

Step-by-step explanation:

Let X represent the number of 3-point shots and Y represent the number of 2-point shots.

Then using the provided data two equations can be formed:

X + Y = 12...(i)

3X + 2Y = 28...(ii)

Solve (i) and (ii) simultaneously:

Multiply (i) by 2 and subtract (ii) from (i) as follows:

2X + 2Y = 24

-3X - 2Y = -28

-X = -4

X = 4

Substitute X = 4 in (i) and solve for Y as follows:

X + Y = 12

4 + Y = 12

Y = 8

Thus, Ava made 4 3-point shots and 8 2-point shots.


Related Questions

What is the next term of the geometric sequence?
32, 16, 8,

Answers

Answer:

4

Step-by-step explanation:

32/2=16  16/2=8  8/2=4

HELPPPPP!!!!!!!! ASAPPPPPPP!!!!!!!!!!

Choose the best explanation for why the graph shown is a line of best fit.


The graph shows a line of best fit because the points fit around the line.

The graph shows a line of best fit because there is a straight line.

The graph shows a line of best fit because the association is zero.

The graph shows a line of best fit because the points are plotted evenly above and below the line.

Answers

Answer:

The graph shows a line of best fit because the points are plotted evenly above and below the line.

Step-by-step explanation:

The best explanation is that the graph shows a line of best fit because the points are plotted evenly above and below the line option (D) is correct.

What is the line of best fit?

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2} \\\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]

We have a line of best fit shown in the picture.

As we know if the slope of the line is positive then the correlation will be positive.

From the line of best fit:

Because the points are evenly spaced above and below the line, the graph displays a line of best fit.

Thus, the best explanation is that the graph shows a line of best fit because the points are plotted evenly above and below the line option (D) is correct.

Learn more about the line of best fit here:

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What is 9 - 3 ÷ 1/3 + 1 Please show work

Answers

Answer:

answer

Step-by-step explanation:

9-3 = 6

6  divided by  1/3  is (3x6) = 18

18 + 1 = 19

Answer:

the answer is 19

Step-by-step explanation:

Roman solved the equation 5 a + 2 b = 10 for a. His steps are shown below.


1. Subtract 2b: 5 a + 2 b minus 2 b = 10 minus 2 b. 5 a = 10 minus 2 b.


2. Multiply by 5: a = 50 minus 10 b.



Which statement about Roman’s work is true?

I need a quick answer pls!

Answers

Answer:

In step 2, he needed to divide both sides of the equation by 5

Step-by-step explanation:

I'm very positive about this

Hope this helps!!!!!!

Answer:

step 2

Step-by-step explanation:

is this correct?! pls answerrr!?!

Answers

Answer:

Yes it is i did this test i believe this is a middle school problem from flvs.

Step-by-step explanation:

What is the solution to n/4 = -12.4?

n = 3.1

n = -3.1

n = 49.6

n = -49.6

Answers

Answer:

n= -49.6

Step-by-step explanation:

49.6 i did this test and got it right

pleasssssssssss can you help me

Answers

Answer:

D=(3,-5) S=(-2,1) P=(-5,4) J=(-4,-5) M=(5,4)

Step-by-step explanation:

Answer:

D=3,-5

S=-2,1

P=-5,4

J=-4,-5

M=5,4

Step-by-step explanation:

El peso promedio de 500 árboles de un vivero es de 70kg y la desviación estándar de 3kg. Suponiendo que los pesos se distribuyen normalmente, encontrar CUANTOS arboles pesan: a) Entre 60 y 75 kg b) Más de 90kg c) Menos de 64kg. D) 64 Kg

Answers

Answer:

Step-by-step explanation:

Resolvemos usando la fórmula de puntuación z

z = (x-μ) / σ, donde

x es la puntuación bruta

μ es la media poblacional = 70 kg

σ es la desviación estándar de la población = 3 kg

a) Entre 60 y 75 kg

Para x= 60kg

z = 60 - 70/3 kg

=-3.33333

Valor de probabilidad de la tabla Z:

P(x = 60) = 0.00042906

Para x = 75 kg

z = 75 - 70/3 kg

= 1.66667

Valor de probabilidad de la tabla Z:

P(x = 75) = 0.95221

P(x = 75) - P(60)

0.95221 - 0.00042906

b) Más de 90 kg

Para x> 90 kg

z = 90 - 70/3

= 6.66667

Valor de probabilidad de la tabla Z:

P (x <90) = 1

P (x> 90) = 1 - P (x <90) = 0

Número de árboles = 500

Por tanto, 500 × 0 = 0 árboles

c) Menos de 64 kg

x <64 kg

z = 64 - 70/3 kg

= -2

Valor de probabilidad de Z-Table:

P (x <64) = 0,02275

Hay 500 arboles

= 500 × 0.02275

= 11.375 árboles

D) 64 kilogramos

x = 64 kg

z = 64 - 70/3 kg

= -2

Valor de probabilidad de Z-Table:

P (x = 64) = 0,02275

Hay 500 arboles

= 500 × 0.02275

= 11.375 árboles

A small business borrows $50,000 to get started. Some of the money is borrowed at 9%, some at 7%, and some at 10% simple interest. The total of the annual interest they are charged is $4340, and the amount borrowed at 7% is two times the amount borrowed at 9%. Set up a system of equations to represent the situation, then find the amounts of money (x, y, and z) borrowed at each interest rate.

Answers

Answer: Amount borrowed at 9% = 9,428.57

Amount borrowed at 7% = $18,857.14

Amount borrowed at 10% = $ 21,714.29

Step-by-step explanation:

Formula for simple interest :

I = PRT,

P= Principal, R =rate , T= time

Let x = amount borrowed at 9%.

y = amount borrowed at 7%.

z = amount borrowed at 10%.

i.e. x+y+z= 50000    (i) [Given : amount invested = 50000]

Interest on x = x (0.09)(1)   [as P=x,  T=1 year, r= 0.09]

= 0.09x

Similarly

Interest on y = y(0.07)(1) = 0.07y

Interest on z = z(0.1)(1)=0.1z

Total interest = 0.09x+0.07y+0.1z = 4340   (ii)

Also, y=2x   [given]  (iii)

Put y=2x in (i) and (ii), we get

x+2x+z= 50000 ⇒ 3x+z=50000    (iv)

0.09x+0.07(2x)+0.1z=4340  ⇒ 0.09x+0.14x+0.1z=4340

⇒ 0.23x+0.1z=4340    (v)

Multiply 10 on both sides of (v)

2.3x+z=43400   (vi)

Eliminate (vi) from (v)

0.7x=6600

⇒ x= 9,428.57

From (iii), y= 2(9428.57) =18,857.14

From (vi),

2.3(9428.57)+z=43400

⇒ 21685.71+z=43400

⇒ z= 43400-21685.71

⇒ z=21714.29

Hence, Amount borrowed at 9% = 9,428.57

Amount borrowed at 7% = $18,857.14

Amount borrowed at 10% = $ 21,714.29

How many hours would someone who earns $7.50 per hour have to work to earn $116.25?
15.5
123.75
6.45
108.75

Answers

Answer:

15.5 hours

Step-by-step explanation:

cause i know

Y’all please helppp it says (ax + by)/c = d solve for x

Answers

I submitted the answer for x in the image below

Answer:

[tex]x=\frac{dc-by}{a}[/tex]

Step-by-step explanation:

[tex]\frac{ax+by}{c}=d\\\\ax+by=dc\\\\ax=dc-by\\\\x=\frac{dc-by}{a}[/tex]

Lucy can spend no more than $125 on props for a school play. She has already phurchased costume fabrics that cost $49. Write and solve an inequality to show how much more she spend on props.

Answers

Answer: 49+x≤  125, where  x = Amount she can spend more on props.

Now she can spend no more than $76 on props.

Step-by-step explanation:

Given: Lucy can spend no more than $125 on props for a school play.

I.e. Total money she can spend ≤ $ 125

She already purchased costume fabrics that cost $49.

Let x = Amount she can spend more on props.

Required inequality: 49+x≤  125

Subtract 49 from both sides, we get

x≤ 76

Hence, now she can spend no more than $76 on props.

What is the ordered pair for point A

Answers

Answer:

(-1.5, 2.5)

Step-by-step explanation:

look at x-value and y-value

find difference between -1 and -2 which is 0.5 same goes with y-axia

I need help plzzzzz!

Answers

I think the answer is x=2

Answer:

It should be 8.15 for x

Step-by-step explanation:

PLEASE HELP I'M QUITE SURE WITH THIS QUESTION

Answers

The answer is  ( D ),   y ≤ 6

The range begins from minimum value to maximum value.

However, in the graph. There's no minimum value as it's heading toward negative infinity.

So we use y ≤ 6 instead.

So the clear answer is y ≤ 6 or ( D )

Write and evaluate the expression. Then, complete the statements.

A 1-column table with 5 rows. Column 1 is labeled Multiplication Words with entries double, multiply, product, twice, times.

Yuna ran three times as many kilometers.

Evaluate when k = 12.2.

Answers

Answer:

Write and evaluate the expression. Then, complete the statements.

A 1-column table with 5 rows. Column 1 is labeled Multiplication Words with entries double, multiply, product, twice, times.

Yuna ran three times as many kilometers.

Evaluate when k = 12.2.

First, write the expression as

✔ 3k

.

Second,

✔ substitute

12.2 in for the variable, k.

Third,

✔ simplify

by

✔ multiplying

3 and 12.2.

The answer is

✔ 36.6

Since Yuna ran three times as many kilometers so here expression should be 3k and the answer is 36.6

The writing and evaluating the expression:

Expressions are considered to be mathematical statements that have at least of two terms comprised of numbers or variables that should be linked. It could be of addition, subtraction, multiplication, or division.

First, write the expression as  3k

Second, substitute 12.2 in for the variable, k.

Third,  simplify by ✔ multiplying 3 and 12.2.

And, finally, The answer is 36.6

Learn more about expression here: https://brainly.com/question/11656147

Thirty more than one half of the students at at canyon middle school are in band.Five less than three fifths of the students are in athletics.If the number of students who are in band is equal to the number of students in athletics how many students are enrolled in canyon middle school

Answers

Answer:

Students at canyon middle school = 350

Step-by-step explanation:

Students at canyon middle school = x

Band = 1/2x + 30

Athletics = 3/5x - 5

athletics.If the number of students who are in band is equal to the number of students in athletics

1/2x + 30 = 3/5x - 5

1/2x - 3/5x = -5 - 30

5x-6x/10 = -35

-x/10 = -35

= -x(1/10)= -35

x = -35 ÷ -1/10

= -35 × -10/1

= 350

x = 350

Students at canyon middle school = 350

Greta is taking a road trip from Cincinnati to San Francisco. On the first day, she drove 650 miles in 10 hours. On the second day, she got a later start and drove 540 miles in 8 hours. How many miles per hour faster was her average speed the second day?

Answers

Answer:

2.5 miles per hour faster

Step-by-step explanation:

Step one:

the first day

distance= 650miles

time taken= 10 hours

speed= distance/time

speed= 650/10

speed= 65miles per hour

Step two:

the second day

distance= 540mile

time taken= 8 hours

speed= distance/time

speed= 540/8

speed= 67.5miles per hour

Step three:

the difference between the two speeds is =67.5-65= 2.5

therefore on the second day, the speed is 2.5 miles per hour faster

The area of a rectangle is 26.88 square centimeters. The length of the rectangle is 9.6 centimeters. What is the width of the rectangle in centimeters?​

Answers

Answer:

26.88 divided by 9.6 is 2.8

Meaning that the width is 2.8 cm

URGENT HELP!!
The angle between a diagonal and the longer base of the isosceles trapezoid MNFD is 45°. NK is an altitude to the longer base. If MD = 9 and NF = 5, find:

Answers

Answer:

NK = 7, MK = 2, MF = 9.9, Area = 42

Step-by-step explanation:

Refer to attached

To find:

NK ,  MK,  MF, Area of trapezoid

Solution

The trapezoid is isosceles and NK is its height, therefore

MD - NF = 2MKMK = (9 -5)/2 = 2

Since ∠KDN = 45°, the triangle NKD is isosceles and so

NK = KD = MD - MK = 9 - 2 = 7

MF  = ND as trapezoid is isosceles and therefore diagonals are equal

ND = NK√2 = 7√2 = 9.9 So MF = 9.9

Area of trapezoid

A = 1/2(b1 + b2)h A = 1/2(9+5)(7) = 6*7 = 42

I NEED ALL THE ANSWERS ITS DUE IN 10 MINUTES NUMBER THEM

Answers

Answer:

3.

a. 3.059, 3.05, 3.049, 3.04

b. 182.205, 182.105, 182.05, 182.025

4.

a. 7.68, 7.608, 7.6, 7.068

b. 439.162

Step-by-step explanation:

which of these situations does not have quantities that combine to make 0.
A. In the morning, the temperature rises 30 degrees. in the evening, it falls by 30 degrees
B. Hikroko earns $20 working concessions at the football game. she earns $20 as as babysitter
C. A dolphin swims 20 feet straight down from the surface. it then rise 20 feet to reture to the surface
D. A hot air balloon rises 40 feet. it then drops 40 feet to the ground
Hurry please

Answers

Answer:

B. Hikroko earns $20 working concessions at the football game. she earns $20 as as babysitter

Step-by-step explanation:

also the person who keeps deleting all my answers i hope u break your back

Encik Ahmad builds a rectangular shaped garden
measuring 85 m long and 30 m wide. He divides the
garden into square plots to plant a variety of flowers.
Find the number of square plots that can be built if he
only wants three different square sizes.​

Answers

Answer:he should build them 25x10

Step-by-step explanation:

Encik Ahmad can build 10 square plots with three different sizes.

What is Rectangle?

Rectangle is a polygon in two dimensional geometry which has four sides and four angles and each angle being right angles.

Length of the rectangular plot = 85 m

Width of the rectangular plot = 30 m

We have to find the number of square plots Encik Ahmad can built of three different sizes.

For that first we take a 45 m length of the plot.

Divide it to three equal lengths. We get three lengths with each 15 m length.

Along the width also, divide into two equal width, each having a width of 15 m.

Each 15 m length, we will get two square plots.

Along 45 m length, we get 3 × 2 = 6 square plots.

The remaining rectangle has length 40 m and width 30 m.

Divide this length as 30 m and 10 m.

So we get a square of dimension 30 m.

Remaining is a rectangle whose remaining length is 10 m and width 30 m.

Along the width, divide into three equal widths, each 10 m.

So there we get three square plots with side length 10 m.

So we have 10 square plots, 6 having the side length 15m, 1 having the side length 30 m and 3 having the side length 10 m.

Hence he get 10 square plots having three different sizes as 15 m, 30 m and 10 m.

To learn more about Rectangles, click :

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Simplify -7 1/8 - 9 1/2

A. - 2 3/8
B. - 16 5/8
C. 16 5/8
D. 2 3/8

Answers

Answer:

d

Step-by-step explanation:

D I’m pretty sure! Hope this helps:)

Jim is baking chocolate chip muffins. He has a total of 7 1/3 cups of chocolate chips. If each batch of muffins uses 2/3 of a cup of chocolate chips, enter the most number of batches of muffins Jim can bake

Answers

Answer:

16

Step-by-step explanation:

The first step to answering a question like this is to turn it into an improper fraction so 7 1/3=24/3. Then divide the numerator by the denominator so 24 divided by 3=8 so 8=1/3. Their is 2/3 so do 8 times 2 which equals 16

am i the only one that's confused? i don't get this and neither does my older sister! please tell me if u get it! :0

Answers

Answer:

I believe the answer is C. I'd have to work this out on paper to be certain, but from what i worked out mentally, i got C. lol

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

It explains all ways he can learn for each topic

Gt= Graph and text

Gv= Graph and vid

(same pattern with the rest)

and at the end

T/V= both text and video

Select all equations that have graphs with the same y-intercept.

Group of answer choices

y=3x - 8

y=3x - 9

y=3x + 8

y= 5x-8

y=2x -8

y=1/3x -8

Answers

y=3x-8,5x-8,2x-8,1/3x-8 how to find it is to look at the (x,y) if the equation have the same y (y-intercept)

John the baker baked 130 pies on Wednesday, by Friday he sold 60 pies. What percentage of pies did John the baker sell? EXPLAIN

Answers

Answer:

46.15%

Step-by-step explanation:

60/130 = .4615

multiply by 100 to get it into percentage form

46.15%

The area of Canada is approximately 1×10^7 square kilometers, and the area of Mexico is approximately 2×10^6 square kilometers. The area of Canada is approximately how many times the area of Mexico?

Answers

Answer:

5 times

Step-by-step explanation:

Given that,

The area of Canada is approximately 1×10⁷ square kilometers, and the area of Mexico is approximately 2×10⁶ square kilometers.

We need to find the area of Canada is approximately how many times the area of Mexico.

Dividing both areas as follows :

[tex]\dfrac{A_c}{A_m}=\dfrac{10^7}{2\times 10^6}\\\\\dfrac{A_c}{A_m}=5\\\\A_c=5A_m[/tex]

So, the area of Canada is approximately 5 times the area of Mexico.

Mike spent $32.86 on 15.5 pounds of grass seed for his yard. What is the price per pound of the grass seed?

Answers

Step-by-step explanation:

the price per pound of grass is $2.12

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