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
MARKING BRAINLIEST!!!!
Answer:
12
Step-by-step explanation
Which point represents the ordered pair (-1.1,0.2)?
Point B
Point A
Point C
A
.
B
Point D
0
Answer: is point B
Step-by-step explanation:
Answer:
Step-by-step explanation:
the answer is B
Juan made $115 for 5 hours of work how many hours would he have to work to make $414
Answer:
He would need to work for 18 hours.
Step-by-step explanation:
115÷5=23 (dollars)
414÷23=18 (hours)
Answer:
18 hours because Juan makes $23 an hours and if you divide the $414 by 23 you get 18 so he needs to work 18 hours to get $414
Step-by-step explanation:
10 POINTS!!!!
do the question in the image
Answer:
4x+3=27
Step-by-step explanation:
So there are 4 x so the first part of the 3quation should be 4x then you have 3 so you add three. Your equation should now be 4x+3, and then the sum of all that should equal 27. So therefore the equation is 4x+3=27
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
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:
Does anyone know the answer to these?? Please answer quickly and please don’t joke around .
How many groups of 1/4 are in 3?”
Answer: 12
Step-by-step explanation:
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 = -7how 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
please answer this 4 me , 50 points <3
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
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
An airplane is flying from knoxville to new york. The distance it travels in miles, d, is related to the time in seconds, t, by the equation: d=0.12t. How many miles is it flying per second?
Answer:
0.12 miles is it flying per second.
Step-by-step explanation:
The distance d is related to time t in seconds is given by the equation as follows :
d =0.12 t
We need to find how many miles is it flying per second.
[tex]\dfrac{d}{t}=0.12\\\\\dfrac{\text{miles}}{\text{second}}=0.12[/tex]
So, the speed of the airplane is 0.12 miles per second, Hence, 0.12 miles is it flying per second.
A salesperson makes a 35% commission and makes a sale for $425. Determine the commission the salesperson will make.
For trapezoid JKLM A and B are midpoints of the legs. Find AB.
19
B
M
L
27
C.
23
a
h
35
46
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.
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
help 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
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:
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!!!!!
Solve using quadratic formula.
[tex]4 {s}^{2} + 8s + 4 = 0[/tex]
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:
Solve for x!!!!!.....
PLEASE HELP ME!!! I need the answer quick please if you can!
Answer:
angle 1 is 145°
Step-by-step explanation:
this is because à horizontal line is always 180° so you jus have to subtract 35 from 180
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!
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
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.
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 :)