Sophia scored 33 points in a basketball game. She scored four
more two-point baskets than three-point baskets.
Write a system of equations in standard form that models this
situation.
How many three-point baskets did Sophia make?

Answers

Answer 1

Answer:

Let's try to set up some equations. We'll say a is the number of 1-point shots, b the number of 2-point shots, and c the number of 3-point shots.

A basketball player scored 33 points in one game.

So a + 2b + 3c = 33

He scored four more 2-point baskets than he did 3-point baskets.

So b = c + 4

The number of free-throws equaled the sum of the number of 2-point and 3-point shots made.

So a = b + c

and since b = c + 4,

a = (c + 4) + c = 2c + 4

Substituting in a + 2b + 3c = 33,

(2c + 4) + 2 * (c + 4) + 3c = 33

which simplifies to

7c + 12 = 33

So c = 3, b = 7, a = 10

Answer 2

Answer:

The system of equations in standard form that models this situation are:

2x+3y=33

x-y=4


Related Questions

Write the equation of a line parallel to the line y = 2x that passes through 0,4

Answers

Note: this answer assumes that the question accepts the equation to be written in slope-intercept form.

Answer:

y = 2x + 4

Step-by-step explanation:

To write an equation of a line knowing a slope and a y-intercept, you can use slope-intercept form, or y = mx+ b.

1) Lines that are parallel to each other have the same slope. The answer needs to be parallel to the line y = 2x, so whatever the slope of that equation is must be the slope of the answer, too.

y is isolated in y = 2x, meaning it is in slope-intercept form, or y = mx +b form. The m in y = mx + b represents the slope of the line. In the equation y = 2x, the 2 is in the place of that m - meaning that 2 is the slope of that line, and therefore the slope of the answer, too.

2) The question also says that (0,4) is a point the line must pass through as well. However, notice that the x-value of the point is 0, meaning it is positioned on the y-intercept. Therefore, (0,4) must be the y-intercept of the equation.

3) To write a linear equation with y = mx + b form, you need to replace the m and the b for real values. The slope is 2, and m represents the slope - so write 2 in place of the m. The b represents the y-value of the y-intercept point - knowing that point is (0,4), write 4 in place of the b. Therefore, the answer would be y = 2x + 4 (assuming the question can be written in slope-intercept form).

I need help with this please!!!!! Can someone explain how to solve this step by step please!!!!! It’s due very soon so I need to finish it!!

Answers

Answer:

Is this a test

Step-by-step explanation:

2 diminished by 7 times a number

Answers

The answer is 2-7x I'm 100% sure

CAN SOMEONE PLEASE HELP ME???!!!

Answers

Answer:

D. The graph has a positive rate of change

Step-by-step explanation:

The graph's slope, or rate of change, is positive, which means that D is your answer.

Write an equation of the line that passes through the point (2,3) and is perpendicular to the line x = -1

Answers

Answer:

y = 3

Explanation:

Any equation of a line that is written as x = # (meaning x equaling whatever number) is vertical on the graph. Therefore, x = -1 is a vertical line. And since x equals -1, all the points on the graph must have an x-value of -1.

We need to find a line that is perpendicular to it - and what would be perpendicular to a vertical line would be a horizontal line. Horizontal lines are represented by the equation y = # (meaning y equaling whatever number). Whatever number is written there is the y-value of all the points the horizontal line intersects.

We know that the line has to pass through (2,3). Therefore, take the y-value of that point - which is 3 - giving us y = 3.

Answer:

w

Step-by-step explanation:

w

A holiday decoration involves blue and white lights.The ratio of blue lights to white lights is 3 to 2 . The box the decoration came in stated that the number of blue lights was 114 but didn't give the number of white lights or the total number of lights.

Answers

Answer:

a. 76 b. 190

Step-by-step explanation:

a. Number of white lights

Since the ratio of blue lights to white lights is 3 to 2 and the number of blue lights is 114, it follows that 3 : 2 = 114 : x where x is the number of white lights.

So, 3/2 = 114/x

cross-multiplying,

3x = 114 × 2

3x = 228

x = 228/3

x = 76

b. Total number of lights

So, the total number of lights is thus number of blue lights + number of white lights = 114 + 76 = 190

what are the coordinates of this point?

giving brainliest answer to first person to answer

Answers

Answer:

Q) (-2, 2)

V) (2, 2)

Step-by-step explanation:

What is the value of x?

Answers

(X + 5)(x + 4) = (x + 12)(x + 1)
x^2 + 9x + 20 = x^2 + 13x + 12
4x = 8
x = 2

x = 2

How many groups of 1/4 are in 3?”

Answers

Answer: 12

Step-by-step explanation:

there are 12 because

1/4 = 0.25
2/4 = 0.50
3/4 = 0.75
4/4 = 1.00

If you do this three times, It will have an end result of twelve

hope this helps!!

HELLO URGENT PLS HELP ME WITH THIS

Directions: Prepare adjusting entries for the following; take note that the company is using the calendar year.

1. The cost of electricity used for the month of December 2018 is P4,000. The electricity bill was received and paid in January 2019.

2. Employees earned total salaries of P100,000 in December 2018. However, the salaries were paid only in January 2019.​

Answers

Answer:

try subtracting 1000,000-40000. I may be wrong

WILL MARK YOU BRAINLIEST HELP WITH BOTH IF YOU CAN

Answers

Answer:

10) 51°

11) 152

Step-by-step explanation:

10) 42 + 9 = 51

11) 45(3.5) + 22(-.25) = 157.5 - 5.5 = 152

Answer:

1. it dropped by 51°F

im not too sure abt number 2

Your friend has $80 when he goes to the fair. He spends $4 to enter the fair and $12 on food. Rides at the fair cost $1 25 per ride. Which function can be used to determine how much money he has left over after x rides?​

Answers

Answer:

80m - (12+4) = x

Step-by-step explanation:

Hope this helps! I mean its self explanatory

Answer:

$38.75

Step-by-step explanation:

We can add up the amount he spent before he started riding and we'll get $16. Subtract 16 from 80 which is 64. $64 dollars divided by $1.25 would be 51.2. We round down because he can't ride more then 50 rides. He would be able to ride 51 rides with the money he has. Let's say he rode 20 rides and then left the fair. We would subtract 20 from 51 and get 31. After that we would multiply 31 by 1.25 and get $38.75. So he would have $38.75 dollars after he left the fair.

Does anyone know how to work this out

Answers

let x represent yellow cubes

blue cubes = 3x

green cubes = 15x

to make this simpler let's just say x = 1

so 1 yellow cube 3 blue cubes and 15 green cubes

so there are 19 cubes in total

1 of them are yellow

so she has a 1/19 chance of picking a yellow cube

Answer:

1/19

Step-by-step explanation:

y = number of yellow cubes

3y = number of blue cubes

5(3y) = number of green cubes

total number of cubes = 19

P(yellow) = 1/19

Mr. Lincon buys juice and water for the school picnic.A pack of 8 juice boxes costs 5 dollars. A pack of 6 water bottles costs 3 dollars. Mr Lincoln spends 95 dollars for 170 juice boxes and bottles of water

Answers

Is the question to figure out how many boxes of juice and water he’ll get?

a fair 6 sided dice is rolled twice, what is the probability it will land on a 1 both times?

Answers

Answer:

The answer is 1/36

Step-by-step explanation:

The probability that it will land on 1 at any time is 1/6

So for the first time we have 1/6

For the second time, we have 1/6

For the both times, we have

1/6 * 1/6 = 1/36

Does anyone know the answer to these?? Please answer quickly and please don’t joke around .

Answers

they are already simplified what is the question

what is the formula to calculate velocity?

Answers

Answer:

Velocity (v) is a vector quantity that measures displacement (or change in position, Δs) over the change in time (Δt), represented by the equation v = Δs/Δt. Speed (or rate, r) is a scalar quantity that measures the distance traveled (d) over the change in time (Δt), represented by the equation r = d/Δt.

here is a picture.

I hope this helps.

The answer above should be correct , I believe it is . But can you please mark me BRAINLEST?

(2x - 5), (2 +30), and (2x – 5)
Solve for x

Answers

You solve for x it’s your work isn’t it lots

Three students sit in the first row. In the second row, 3 students sit behind each of those students, and so on. Write an expression with exponents to show how many students sit in the third row? How many total students are seated?

Please help, I don't understand this. You get 65 points!

Answers

Answer:

15

Step-by-step explanation:

Dont need an explanation really, but if there are 5 rows, with 3 each in them, all you need to do is 3x5.

15.

Find the value of x and y.

Answers

Answer:

X=63 y=27

Step-by-step explanation:

X and 117 are on a straight line. All straight lines = 180 degrees.

180 - 117 = 63

90 - 63 = 27

Solve And Graph 12 + 6 _> 42

Answers

Answer:

Steps

12+6>42

simplify

18>42

There for the solution us FALSE

I need a bit of help!

Answers

Answer:

The correct answer is where red goes to orange.Blue goes to green and yellow goes to green

Answer:

The correct answer is where red goes to orange.Blue goes to green and yellow goes to green:

Brandon has a collection of 400 marbles. Of these marbles, 15% are red, 40% are blue, and the rest are purple. How many marbles in Brandon's collection are purple?

Answers

Answer:180

Step-by-step explanation:

Since 15% of 400=60 and 40%=160 the total of this combined is 220. 400-220=180 which is the amount of purple marbles

Conray is 72 years old. He is three times his daughter's age. His daughter is three years younger than Nia.
How old is Nia?
1️⃣0️⃣‼ POINTS!!!​

Answers

Answer: 27 I think

Step-by-step explanation:

72 divided by 3 plus 3

The age of Nia is given by the equation N = 27 years old

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the age of Nia be represented as N

Now , the equation will be

Let the age of Conray be C

The value of C = 72 years

And , Conray is three times his daughter's age

Let the age of Conray's daughter be D

The value of D = C / 3

Substituting the values in the equation , we get

The value of D = 72/3 = 24 years

And , Conray's daughter is three years younger than Nia

So , N = D + 3

Substituting the values in the equation , we get

N = 24 + 3

On simplifying the equation , we get

N = 27 years

Therefore , the value of N is 27 years

Hence , the age of Nia is 27 years

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

1V1 ME FOR A YOU TUBE VID NAME IS QT ZIHMIR YT

Answers

Answer:

OMG

Step-by-step explanation:

qt zihmir yt

Answer:

thanks for the points I maybe check your yt.

Step-by-step explanation:

Question 2
5x + 2y = 4
9x + 2y = 12

Answers

Answer:

x-intercept(s):  ( 4 3 , 0 ) y-intercept(s):  ( 0 , 6 )

Step-by-step explanation:

Step-by-step explanation:

5x+2y =4

5x= 4-2y

x= 4-2y/5

Simplify the following rational expression.

Answers

Answer:

I did Mental Math and Got 6!

5 times -5 +1 is -9 , -9/2 needs a 4 for the denominator to divide I think and so that would make it -18/4, and -18/4 divided by -3/4 is 6/1 which equals 6.

if you have to do 198 assignments in 27 days how many assignments should you do daily?

Answers

You would need to do about 7.33

Answer:

8 assignments a day

Step-by-step explanation:

HELP ASAP

1.Which number or symbol is a variable in the following algebraic expression?



5 + 4y x 32



a 5

b 4

c y

d 2

2.Convert the following word phrase to an algebraic expression:

9 less than a number.



a x - 9

b 9 -x

c 9 ÷ x


d x ÷ 9

Answers

Answer: 1.C 2.B

Step-by-step explanation:

Refer to the diagram shown.

Answers

Answer:

60º

Step-by-step explanation:

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