Easton is a high school basketball player. In a particular game, he made some two point shots and some three point shots. Easton scored a total of 21 points and made twice as many two point shots as three point shots. Write a system of equations that could be used to determine the number of two point shots Easton made and the number of three point shots he made. Define the variables that you use to write the system

Answers

Answer 1

Answer:

2+3y=21

x=2y

Step-by-step explanation:

Each two point shot scores 2 points, so xx two point shots would score 2x points. Each three point shot scores 3 points, so y three point shots would score 3y points. Therefore, the total number of points scored 2x+3yy equals 21

Since Easton scored twice as many two point shots as three point shots, he made more two point shots, so if we multiply 2 by the number of three point shots made, we will get the number of two point shots made, meaning x equals 2y


Related Questions

Can you help me with this math problem? Im having a hard time with it, if you can explain it too that would help a lot. attachment below

Answers

Answer:

[tex]3^{-3}\cdot \:\:8^{-3}=\frac{1}{24^3}[/tex]

Thus, the equivalent expression is:  [tex]\frac{1}{24^3}[/tex]

Step-by-step explanation:

Given the expression

[tex]3^{-3}\cdot 8^{-3}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]

[tex]=8^{-3}\cdot \frac{1}{3^3}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]

[tex]=\frac{1}{3^3}\cdot \frac{1}{8^3}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]

[tex]=\frac{1\cdot \:1}{3^3\cdot \:8^3}[/tex]

[tex]=\frac{1}{24^3}[/tex]

Thus,

[tex]3^{-3}\cdot \:\:8^{-3}=\frac{1}{24^3}[/tex]

Thus, the equivalent expression is:  [tex]\frac{1}{24^3}[/tex]

GIVEING BRAINLIST PLZ HELP On the number line, a point was moved from -7 to -3. Which of the following problems describes this move?

-7 + 3 = -4
-7 - 4 = -3
-7 - 3 = -10
-7 + 4 = -3

Answers

Answer:

c

Step-by-step explanation:

It will be 17+4=-3 because you are adding +4 to -7 which will give you -3

Need Help with some Math


Determine the remainder when f(x) = 3x^15 - 5x^12 + 7x^6 - 3x^2 + 12 is divided by x + 1

Answers

Answer:

8

Step-by-step explanation:

We can use the Polynomial Remainder Theorem. The PRT states that if we have a polynomial [tex]f(x)[/tex] being divided by a factor in the form of [tex](x-a)[/tex], then the remainder of the polynomial is given by [tex]f(a)[/tex].

We have the polynomial:

[tex]f(x)=3x^{15}-5x^{12}+7x^6-3x^2+12[/tex]

And it is being divided by:

[tex](x+1)[/tex]

We can rewrite our factor as:

[tex](x-(-1))[/tex]

Therefore:

[tex]a=-1[/tex]

Then our remainder will be:

[tex]f(-1)[/tex]

Evaluate:

[tex]\begin{aligned} f(-1)&=3(-1)^{15}-5(-1)^{12}+7(-1)^6-3(-1)^2+12\\&=-3-5+7-3+12\\&=8 \end{aligned}[/tex]

So, our remainder will be 8.  

can someone help me with my algebra 2 homework pls ?

Answers

Answer:

What do you need help with from it?

What’s the question?

a squirrel burrowed 12 holes in 3 minutes how many holes could the squirrel burrow in 12 minutes

Answers

Answer:

12 x 3 = 36

Step-by-step explanation:

So it’s 36

Answer:

48 holes

Step-by-step explanation:

find the unit rate, 12 holes in 3 minutes means 4 holes in 1 minute. to find how many holes in 12 minutes, multiply 4 by 12, you will get 48.

Find the 69th term of the following arithmetic sequence.
18, 25, 32, 39,

Answers

Answer:

18+68(25-18)=18+68(7)

=18+476

=494

Math question angles

Answers

Answer:

m∠1 = 52°

m∠2 = 38°

Step-by-step explanation:

x + 33 + 2x = 90

3x = 57

x = 19

m∠1 = 19 + 33 = 52°

m∠2 = 2 ( 19 ) = 38°

1. What is the goal of factoring a quadractic?
2. What is the discriminant?
3. What is meant by completing a square?

Answers

Answer:

Completing the square on a quadratic equation in standard form results in the quadratic formula, which expresses the solutions in terms of a, b, and c. Solutions to problems that can be expressed in terms of quadratic equations were known as early as 2000 BC. Because the quadratic equation involves only one unknown, it is called " univariate "

Step-by-step explanation:

Help pleaseeee cxxxcxx

Answers

Answer:

no. I'm pretty sure it's not

This is not a function because there cannot be two of the same input

what is y=2x can someone pleas help me

Answers

Answer:

Slope:  2

Step-by-step explanation:

Answer:

x=y/2

Step-by-step explanation:

you divide 2 from both sides then you get y/2

My mum is 29 and my dad is 36.What is thr difference in their ages​

Answers

Answer:

7

Step-by-step explanation:

differnece = subtraction

36-29 = 7

Hope this helps plz hit the crown :D

Answer:

seven

Step-by-step explanation:

36 - 29 = 7

unless their birthday months are something like:

mom - 3rd of may

father - 8 of november

then technically it's 6 years and a few months but it's not that deep haha

write an equation for the line passing through the points (3,-6) and (-9,-6) y=mx+b format.

Answers

Answer:

y=-6

Step-by-step explanation:

First, find the slope of the two coordinates using the slope formula:

Slope formula: y2-y1/x2-x1

Plug the numbers into the formula and solve:

-6--6/-9-3 = 0

Now,use the slope and one of  the coordinates to put the line in point-slope form

Point slope: y-y1=m(x-x1)

y+6=0(x-3)

Simplify

y+6=0-0

y=-6

Describe, with examples of your own, when you would use long division and synthetic division and how to check polynomial division.

Answers

You use long division when you divide polynomial by other polynomial. You use synthetic division to divide polynomials by binomials of the form (x-k).

I will mark you as brainliest if right ✅ ​

Answers

Answer:

it is 15

Step-by-step explanation:

Answer:52

Step-by-step explanation:

Lashonda is saving money to buy a game. So far she has saved $6, which is two-thirds of the total cost of the game. How much does the game cost?

Answers

Answer:

The game costs $9

Step-by-step explanation:

I wrote an equation using the variable "t" for the total cost of the game.

6=2/3t

t=6/2/3

t=(6/1)(3/2)

t=18/2

t=9

y = 4x + 2
y= x2 + 6x + 5​

Answers

Answer:

im sorry for doing this but i really need points

Step-by-step explanation:

F=P(1+r)^t solve for p

Answers

Answer:

the answer is P= F/(1+r)^t

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

translate the unit 3 units right and 7 units down what will the new coordinate for C be if A(-4,-5) and B(0,1)

Answers

Answer:

After the transition, point A is at Location (-1, -12) and point B is located at (-2, 7)

Step-by-step explanation:

hope that helps

Point A.(-1,-12) and point B (-2,7)

ALL I NEED IS #9 PLS

Answers

Answer:

x=24

Step-by-step explanation:

x/6=4

4*6=x

x=24

Michael’s home is 12 feet below sea level and his mother’s home is 12 feet above sea level. Michael says their homes are at opposite elevations because they are in opposite directions. Is he correct? Explain.

Answers

Answer:

Yes he is correct because -12 and 12 are the opposite.

Step-by-step explanation:

Answer:

He is correct because the numbers are in opposite directions on the number line, and their distances from 0 on the vertical number line are equal

Write an equation for the parabola that passes through (1,12) and has vertex (10,-4)

Answers

Answer:

y + 4 = (16/81)(x - 10)

Step-by-step explanation:

The general formula for a parabola passing through (x, y) and with vertex (h, k) is                  y - k = a(x - h)^2.

Here we are told that x = 1, y = 12, h = 10 and k = -4, which gives us:

                         12 + 4 = a(1 - 10)^2, or

                              16  =  81a

Then a = 16/81, and the desired parabola is

                                  y + 4 = (16/81)(x - 10)

Let V(t) represent the value of a bank account, in thousands of dollars, t years after the account is opened at the bank. Determine whether each statement below is true. Select True or False for each statement.

V(0) = 2 means that the value of the bank account when it is opened is $2000
V(5) = 2.2 means that 2.2 years after the bank account is opened, its value is $5000
V(10) – V(5) = 0.4 means that the bank account grows by $400 between 5 and 10 years after its opening

Answers

Answer:

True false false

Step-by-step explanation:

The following statements can be considered true or false as the case may be as follows;

V(0) = 2 means that the value of the bank account when it is opened is$2000 --TRUEV(5) = 2.2 means that 2.2 years after the bank account is opened, its value is $5000 --FALSEV(10) – V(5) = 0.4 means that the bank account grows by $400 between 5 and 10 years after its opening --TRUE

Discussion:

The function takes the form;

V(t) = Value of account.

Ultimately,

Statement 1 is true; Statement 2 is false; andStatement 3 is true.

Read more:

https://brainly.com/question/3559047

Identify the parent function and describe the transformation of the equation y=2〖(x+5)〗^3-4

Answers

Answer:

2x - 6 = 5x-10 ... 4. 2x-1= x - 5+ 3x. 2x-1=4x-5. - +5 +5. 5. 3(y-1)=-(4-5). 3y-3 = -4+5. +y

Step-by-step explanation:

Which factor is least likely to affect the results and interpretation of a functional MRI?
A. cancerous growth
B. prescription medication
C. a sinus infection
D. caffeinated soda

Answers

Answer:

Cancerous growth

Step-by-step explanation:

For example, a tumor would be found in MRIs and will have a significant impact on the results and interpretation of a functional MRI. A tumor that is cancerously growing is very crucial to the function of an MRI

I hope this helps

The functional MRI also known as fMRI monitors brain anatomy activity

The factor that is least likely to affect the results and interpretation of a

functional MRI is; C. A sinus infection.

Reasons:

MRI stands for magnetic resonance imaging, and it is used to generate

images of the interior of items, such as the human body, without opening

the body, by producing strong magnetic fields, from the built in powerful

magnets.

The parts of the body that are examined by an MRI scan includes, the

internal organs, blood vessels, brain, and spinal cord.

The MRI scan works by tracking radio signals sent by protons in the body

which vary based on the type of tissue.

Due to the requirement for the patient to remain stationary during the

scan, medication may be given. It is also important to not take caffeinated

drinks prior to the examination.

A functional MRI is used to monitor the functioning of the brain's anatomy,

by blood flow change detection.

Therefore, the factor that is least likely to affect the result and

interpretation of a functional MRI is a sinus infection which is the

inflammation of the sinus lining and mucus presence, that rarely cause

neurologic complications.

Learn more here:

https://brainly.com/question/21405582

A= P(1 + rt)
A= P+rt
A - P= rt
r= (A- P)/t
Explain the algebraic error in the student's work.
Then, state how the equation r = (A- P)/t can be
modified to produce the correct result.

Answers

The student forgot to distribute the P into rt as well in the second line.

So, to solve for r correctly:
A=P(1+rt)
A=P+Prt
A-P=Prt
r=(A-P)/Pt

PLSS help me with this and show your work

Answers

hii

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

3[3x-1]=5[x+1]

9x-3=5x+5

9x-5x=5-3

4x=2

x=2/4

x=1/2

HOPE IT HELPS YOU OUT PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME PROMISE YOU TO FOLLOW BACK ON BRAINLY.IN

Answer:

X=1/2

Step-by-step explanation:

x=2/4

x=1/2

(6p+4)+(-5p+8)
Plz i need help

Answers

The solution is p + 12.

Answer:

p+12

Step-by-step explanation:

I'm assuming you want me to simplify this equation. Okay, first, we eliminate the redundant parenthesis. Now, we have 6p+4+-5p+8, we can simplify this to 6p+4-5p+8 because adding a negative has the same effect as subtraction. Now, we combine like terms (6p and -5p, and 4 and 8). From this, we have 1p+12 (4+8=12, and 6p-5p=1p, or just p). We can simplify this even more to get p+12. I hope this helps!

You and your friend each collect rocks and fossils. Your friend collects three times as many rocks and half as many fossils as you. You collect 15 objects. Your friend collects 30 objects. How many rocks and how many fossils do you each collect?​

Answers

Answer:

I got 9 rocks and 6 fossils and my friend got 27 rocks and 3 fossils

Step-by-step explanation:

Which one should I choose

Answers

Answer:

C. 10x^2    

Step-by-step explanation:

How far above ground is the flag pole in inches? Round to nearest inch if needed

Answers

Answer:

Step-by-step explanation:

You'll use similar triangles to solve this. Set up 2 ratios as a proportion. First, however, you have to convert the 15 inches to feet. If everything else is in feet, then EVERYTHING has to be in feet. 15 inches is equal to 1.25 feet. Now for the equation:

[tex]\frac{3}{x} =\frac{1.25}{6}[/tex]

The first fraction is made up of the heights, 3 being the height of the plumb bob and x being our unknown height of the flagpole; the second fraction is made up of the distances on the ground. Cross multiply to solve:

1.25x = 18 so

x = 14.4 feet, or 14 feet, 4.8 inches

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