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?
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:
The system of equations in standard form that models this situation are:
2x+3y=33
x-y=4
What is the surface area of a cylinder with a radius of 12 centimeters and a height of 7 centimeters? Use terms of pi.
I’ll give brainliest to whoever answers 1st! :)
Answer:
1432.57cm²
Step-by-step explanation:
if I buy 54 packs of cookies and 15 cookies are in each pack how many cookies do I have all together?!!?!?!
Answer:
810
Step-by-step explanation:
54x15=810.
hope this helps
Step-by-step explanation:
54 x 15 = 810
all you have to multiply
Select the correct answer.
In which table does y vary directly with x?
Answer:
Option C.
Step-by-step explanation:
y and x have a Direct variation if the function looks looks like y = mx (b is equal to zero). The only option that can be written like that is option C. And it can be written as
y = 26x
1. Jacob has $500 saved. He receives a gift of $100 as a graduation present.
Write an expression for the total amount of money he has.
What is the slope of the line that passes through the points (-3, 4) and (5, -2)?
Answer:
m = 0 , this is a horizontal line, y = 5
Step-by-step explanation:
Find the slope of the line that passes through the pair of points
(-3,5),
(-4,5) m = 0/1 = 0
m=y2-y1/x2-x1
m = 0 , this is a horizontal line, y = 5
Hopefully that helps!!!!!
The value of n is a distance of 1.5 units from -2 on a number line. Click on the number line to show the possible values of n. -5 - 4 -3 -2 -1 0 1 2 3 4 5
Answer:
Its Going to be -4
Step-by-step explanation:
How many groups of 1/4 are in 3?”
Answer: 12
Step-by-step explanation:
Solve for x!!!!!.....
how do you solve this using the substitution method?
Answer:
x=13, y=36
Step-by-step explanation:
y−2x=10
6x−2y=6 −2x+y=10
6x−2y=6
6x=2y+6
x= 1/6(2y+6)
x=1/3y+1
-2(1/3y+1)+y=10
-2/3y-2+y=10
1/3y=12
y=36
Substitute y to check your answer
x=1/3*36+1
x=12+1
x=13
And to go further if you wish to check your answer you can substitute x
What is the domain of h?h(x)=4/x-5
Answer:
(−∞, 5) ∪ (5, ∞)
Step-by-step explanation:
I really hope it helps!
Good Luck!
What is the circumference of a circle with a diameter of 3 feet? Use 3.14 for
TT
Pls help
Answer:
9.42
Step-by-step explanation:
4. An annual pass covering emtrance fees to more than
2,000 national parks costs $80. If the total income from
the annual passes is $12,800 in one month, which equation
can you use to find the number of passes purchased that month?
F. 12,800p = 80
H. 80p = 12,800
G. 12,800 – p = 80
J. 80 + p = 12,800
Answer:
Search it up
Step-by-step explanation:
Someone already answered it on brainly
Use exponents to write each expression.
6 x 6 x 6 =
Answer:
6×6×6 = 6³
Step-by-step explanation:
Answer:
6 x 6 x 6 = 216 I believe that's right
A salesperson makes a 35% commission and makes a sale for $425. Determine the commission the salesperson will make.
A 4-pound bag of carrots costs $2.48. What is the unit price? *
Answer:
0.62 cents per pound
Step-by-step explanation:
2.48/4
to find price per pound which is the unit price
2.48/4=0.62
brainliest appreciated
Does anyone know the answer to these?? Please answer quickly and please don’t joke around .
On a trip , Joel drove 24 miles more than Rita drove . Together they drove 340 miles . How many miles did Joel drive
Answer:
U didn't say how many miles Rita drove.
5. Which set of ordered pairs below represents a function? 31. {(1,1) (1,- 1) (4,2) (4, -2) (9,3)} b. {(3,4) (3,5) (3,6) (3,7) (3,8) } C. {(2,4) (3,4) (4,4, (5,4) (6,4)} d. {(1,2) (2,3) (3,4) (4,5) (4,6) }
Answer:
C. {(2,4) (3,4) (4,4) (5,4) (6,4)} is a function.
Step-by-step explanation:
Since there is one value of y for every value of x in {(2,4) (3,4) (4,4) (5,4) (6,4)}, this relation is a function.
A vegetarian restaurant used 6,680 ounces of spinach last month. This month, with a menu update, it used 10% more than that amount. How much spinach did the restaurant use this month?
Answer:
what subjet is this
Step-by-step explanation:
Which is the better value?
A. 6 ounces of hot Cheetos for $2.16
B. 10 ounces of hot Cheetos for $2.70
Answer:
B
Step-by-step explanation:
2.16/6 = 0.36 cents per 1 ounce
2.70/10 = 0.27 center per 1 ounce
Therefore B. 10 ounces of hot Cheetos for $2.70
A truck is carrying cranberry juice, grape juice, and pineapple juice bottles in a ratio of
7 : 2 : 3. If there are 40 grape juice bottles, then how many juice bottles in total are there?
Answer:
140
Step-by-step explanation:
7- Cranberry
2:Grape = 40 so 40/2 = 1
3:Pineapple
1= 20 juices
7+2+3 is 12
20 x 12 is 140
i realllllllllllllllllllllly neeeeeeddddd help on this one pleaseeeeeeeeeeeeeeeeeeeeee
Carlos traveled at an average speed of 70 miles per hour for 2.5 hours and then traveled at an average speed of 80 miles per hour for 3.5 hours. What was the total distance in miles that Carlos traveled during that time
Answer:
70 * 2.5 = 175
80 * 3.5 = 280
175 + 280 = 455 miles all together
Step-by-step explanation:
I hope this helps :)
y = 5x + 14
what is the CROC (Constant Rate Of Change)?
and how do you know. (please help i've been stuck on this for about an hours now :,). )
Answer:
The answer is 5.
Step-by-step explanation:
Well if you were to graph this equation you'll see that the rise over run would be 5/1 which simplifies to 5.
Substation method
3x + 4y=-22
7x+y=7
Answer:
(2, -7)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Terms/CoefficientsSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
3x + 4y = -22
7x + y = 7
Step 2: Rewrite Systems
7x + y = 7
Subtract 7x on both sides: y = 7 - 7xStep 3: Redefine Systems
3x + 4y = -22
y = 7 - 7x
Step 4: Solve for x
Substitution
Substitute in y: 3x + 4(7 - 7x) = -22Distribute 4: 3x + 28 - 28x = -22Combine like terms: -25x + 28 = -22Subtract 28 on both sides: -25x = -50Divide -25 on both sides: x = 2Step 5: Solve for y
Define equation: 7x + y = 7Substitute in x: 7(2) + y = 7Multiply: 14 + y = 7Subtract 14 on both sides: y = -7help me solve please
Answer:
x=78; x=56
Step-by-step explanation:
For the first question we know that the angle is 180 degrees, that means the two angles inside of it have to add up to 180:
102+x=180
Subtract 102 from both sides:
x=78
For the second question we know that the angle is 90 degrees, meaning that the two angles on the inside have to add up to 90:
34+x=90
Subtract 34 from both sides:
x=56
Find the value of x.
Answer:
110 degrees
Step-by-step explanation:
The sum of all the interior angles of a polygon is always equal to 180(n-2) where n is the number of sides. In this figure, there are 7 sides. This means that the sum of all the interior angles is 180(7-2) = 180 * 5 = 900.
Now, add up all the angles that you know and subtract that from 900 to find the value of x.
900 - (105 + 150 + 140 + 135 + 125 + 135) = 900 - 790 = 110 degrees
pls helppppppppppp
Hayden had 2 1/2 gallons of water in his watering can. The seed packet said to use 1/4 of a gallon for peppers and 5/8 of a gallon for tomatoes. Hayden then used some of the water for lettuce. If Hayden had 3/4 gallons of water left over, about how much water did he use for lettuce?
Answer:
okkk
Step-by-step explanation:
Answer:
I'm gonna say either 3/4 or 7/8. Don't quote me on it tho?!
Step-by-step explanation:
For trapezoid JKLM A and B are midpoints of the legs. Find AB.
19
B
M
L
27
C.
23
a
h
35
46
Determine the domain of the following graph:
Answer:
Domain: (-7, 4]
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Step-by-step explanation:
According to the graph, the line's x-values span from -7 to 4. Since -7 is open dot, it is exclusive from the domain; since 4 is closed dot, it is inclusive in the domain:
Interval Notation: (-7, 4]
Inequality Notation: -7 < x ≤ 4
