Carolyn was asked to solve the following system of equations. Her work is shown.
Correctly find the solution to the system of inequalities. Show your work for credit.
Answers
Answer:
(11, 13)
Step-by-step explanation:
Given,
3x - 2y = 7 => (eqn. 1)
y = x + 2 => (eqn. 2)
Substitute y = (x + 2) in eqn. 1.
3x - 2(x + 2) = 7
Use -2 to multiply each term you have in the parentheses. (This is where Carolyn got it wrong)
3x - 2x - 4 = 7 (-2*4 = -4 not +4)
x - 4 = 7
Add 4 to both sides
x = 7 + 4
x = 11
Substitute x = 11 in eqn. 2.
y = x + 2
y = 11 + 2
y = 13
Solution: (11, 13)
Related Questions
which expression is equivalent to -51 -(-60)
Answers
Answer:
-51 + 609I hope this helps!
x + 2x + (-24)
How do I do this
Answers
Answer:
Since it is not an equation you would combine like terms and the answer would be 3x + (-24)
Step-by-step explanation:
There is no answer technically, you're just simplifying
Answer:
Step-by-step explanation:
you can't solve you don't know what X is so x+ 2x + (-24) is the answer
Find the product of the binomials,
(x - 3)(x + 2) (x + 4) =
Answers
Answer:
Step-by-step explanation:
(x - 3)(x + 2) (x + 4) =
x^3+3x^2-10x-24
Answer:
x^3+3x^2-10x-24
Step-by-step explanation:
(x - 3)(x + 2) (x + 4)
multiply the first two together first
(x^2+2x-3x-6)(x+4) add like terms first
(x^2-x-6)(x+4)
then multiply
x^3+4x^2-x^2-4x-6x-24
add like terms
x^3+3x^2-10x-24
r= 5.5 = 18.2 please its not for me though but help
Answers
Answer:
What is the question? are we supposed to find something that equals r?
The two sides of a triangular park enclosing the right angle
are 200m and 150m. What would be the area of the park?
Answers
Step-by-step explanation:
could you please mark me as the brainliest answer
Step-by-step explanation:
The sides enclosing the right angle are the perpendicular and the base of the right angled triangle.
Then the area of the triangle will be
2
1
×150×200=15,000 m
2
.
Relationship B has a greater rate than Relationship A. This graph represents Relationship A. Which equations could represent Relationship B? Select each correct answer.
Answers
Answer:
The answer is A. Sorry, i dont have enough time to support my answer. I am rushing sdjeuesjcvjs
Monique is throwing a birthday party and wants to buy an assortment of desserts. She buys a cake for $25, a gallon of ice cream for $4.50, and (c) cupcakes for $1.50 each. If she wants to spend at most $45 how many cupcakes can she purchase?
Answers
Answer:
Step-by-step explanation:
She wants to spend $45. Take the 45-25 for the cake.
$20.00 left. Ice cream is $4.50 20-4.50= 15.50 left
$15.50 divided by the cost of each cupcake $1.50
15.50/1.50=10 cup cakes
What is the value of x that makes the statement true?
12x + 16 = 50x - 3
x =
Answers
Answer:
x = 1/2Step-by-step explanation:
Given
12x + 16 = 50x - 3Solving for x
12x + 16 = 50x - 350x - 12x = 16 + 338x = 19x = 19/38x = 1/217x-6+3x-5=x+11+4x simplified
Answers
Answer:
x = 22/15
Step-by-step explanation:
hope that helped
how do you figure out proofs
Answers
Answer:
By giving reasons to the statements
Shasta pools is building my pool. I want the pool to be 8ft longer that it is wide and I want it to cover 240 square ft. Which equations would I use to model the area of the pool? *
Answers
Answer:
area = w² + 8w
Step-by-step explanation:
the equation for calculating the area of something is:
area = length x width
length = 8 + width
area = (8 + width) x width
I will use w instead of width
area = w² + 8w
we can solve for w:
240 = w² + 8w
w² + 8w - 240 = 0
(w - 20) x (w + 12) = 0
so we know that the length of the pool is 20 feet and the width is 12 feet
Which division problem does the model below show?
1
1
1
1
1
1
1
1
1
8
1
8
1
6
5
1
1
1
1
1
1
1
1
6
ö
1
6
fo
-lo
1
6
Ok
Answers
Answer:
4÷1/6=24
Step-by-step explanation:
test the symmetric of a function f(x)=x5+x3+x plz answer my question and you will be mark as brainly
Answers
Answer:
Step-by-step explanation:
2000264(X) b x a =177777082
Dee is painting some fencing. After 2/3 hour, she has painted 4 1/2 feet of fencing. What is the rate, in feet per hour, at which she is painting? Express your answer as a mixed number.
Answers
Answer:
6 3/4 feet per hour
Step-by-step explanation:
2 1/4 feet per 1/3 hour
4 1/2 feet for 2/3 hour
6 3/4 for 1 hour
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Is this correct ? Please help me
Answers
Answer:
Median: 8
Minimum: 3
Maximum: 15
First quartile: 6
Third quartile: 12.5
Interquartile Range: 6.5
Outliers: none
Step-by-step explanation:
What will be the coordinates of point M of the image after the rotation?
0 (-4, 1)
0 (-1,4)
O (1-4)
O (4,1)
Answers
explain- i’m smart jk
Marking brainless!!!
Answers
Answer:
A
Step-by-step explanation:
Simplify
2 x m x n x 8
Answers
Find the products of the numbers
And 16mn basically just means 16xmxn
The simplification for the given expression is 16mn.
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
The given expression is as below,
2 x m x n x 8
Since multiplication of two algebraic terms can be done by first multiplying their coefficients and then the variables.
Apply the above mentioned rule to get,
2 x m x n x 8
= 2 x 8 x m x n
= 16 x m x n
= 16mn
Hence, the given expression is simplified as 2 x m x n x 8 = 16mn.
To know more about algebraic expression click on,
brainly.com/question/953809
#SPJ2
An online streaming service costs $25 to join. Each gigabyte used costs $2.50. Let g represent the number of gigabytes. Would this situation represent a function?
True False
Answers
Answer: 10
Step-by-step explanation:
25 ÷ 2.5 = 10
10 gigabytes
What number is in the tenths place in 12.75
Answers
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
THe number right after the decimal in the right side is the tenths place and 7 is the right after the right side of the decimal
5x +9–3(x-1)=(3x –13)+(4x -30)
Help please
Answers
Answer:
x = 11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
5x + 9 - 3(x - 1) = (3x - 13) + (4x - 30)
Step 2: Solve for x
Distribute 3: 5x + 9 - 3x + 3 = 3x - 13 + 4x - 30Combine like terms: 2x + 12 = 7x - 43Subtract 2x on both sides: 12 = 5x - 43Add 43 on both sides: 55 = 5xDivide 5 on both sides: 11 = xRewrite: x = 11Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 5(11) + 9 - 3(11 - 1) = (3(11) - 13) + (4(11) - 30)Multiply: 55 + 9 - 3(11 - 1) = (33 - 13) + (44 - 30)Subtract: 55 + 9 - 3(10) = 20 + 14Multiply: 55 + 9 - 30 = 20 + 14Add: 64 - 30 = 34Subtract: 34 = 34Here we see that 34 does indeed equal 34.
∴ x = 11 is a solution of the equation.
Answer:
x=11
Step-by-step explanation:
[remember: (-)(-) is (+) , (-)(+) is (-) , (+)(+) is (+)]
5x + 9 – 3(x-1) = (3x –13) + (4x -30)
5x + 9 -3x + 3 = 3x -13 + 4x -30
5x -3x + 9 + 3 = 3x + 4x -13 -30
2x + 12 = 7x - 43
2x - 7x = -43 - 12
-5x = -55
x = -55/-5
x = 11
hope you understood!!
rashi borrowed rs 12000 from a bank . if the bank charges interest at the rate of 11 percent p.a. what amount will he pay to bank at the end of 3 years
chapter in math is comparing quantities need answer fast
will give full stars
Answers
Answer:
INTEREST=Rs 3960
Step-by-step explanation:
INTEREST=PTR/100
INTEREST=12000*3*11/100
INTEREST=3960
Answer:
rs 16411.57
Step-by-step explanation:
12000×11%÷100=1320
1320+12000=13320×11%÷100=
1465.20+13320=14785.20
14785.20×11%÷100%=1626.37
1626.37+14785.20=16411.57
Ans =16411.57
ns
2014
x ft
Solve for
Write your answers as a simplified radical and a decimal rounded to the nearest tenth. Enter your answer
as an equation, for instance x = your answer. If the answer is an integer value, leave the simplified radical
box empty
Simplified radical:
Decimal:
Answers
2928392&2919292
how many times bigger is 2 times 10 to the 10th power than 150 million
Answers
Answer: 2 x 10^10 =20000000000
and 150,000,000 is 150 million so you subtract and you get
19,850,000,000
Step-by-step explanation:
What are the slope and the y-intercept of the line that represents plant A's height in inches in terms of the number of weeks? (Hint: The formula
for slope is slope = rise/run, and the y-intercept is the y-coordinate when x = 0.)
Answers
Answer:
Plant A is y=2x+6
Step-by-step explanation:
Slope: 2
Y-intercept: 6
Which trigonometric identity is given by the formula adjacent side/opposite side?
A. tan
B. cot
C. sin
D. cos
Answers
Answer:
cot= adjacent side/opposite side
Option B is correct.
Step-by-step explanation:
We need to identify trigonometric identity which is given by the formula adjacent side/opposite side
The trigonometric identity for tan is
tan= opposite side/adjacent side
But We are given adjacent side/opposite side
Since cot is inverse of tan so, formula of cot is:
cot= adjacent side/opposite side
Option B is correct.
A $ 4.00 sales tax is charged for a $ 50.00 purchase . At this rate, what is the sales tax for a 1200.00 purchase
Answers
Sales tax for the purchase of $50 is $4
Therefore, x% of 50 = 4
(x%) 50 = 4
x/100 x 50 = 4
x/2 = 4
x = 4 x 2
x = 8
Therfore, there is a 8% sales tax on the purchase.
Sales tax on the purchase of $1200 = 8% of 1200
= 8/100 x 1200
= 8 x 12
= 96
A $96.00 sales tax is charged on a purchase of $1200.00
Nicolas sold 86 newspapers on Monday 79 on Tuesday and 68 on Wednesday and 83 on Friday how many newspapers did Nicholas sell on Thursday if he sold a total of 391 in five days?
Define a variable, write an equation, then solve.
Answers
Answer:
75
Step-by-step explanation:
86+79+68+83=316
391-316=75
Answer:
75 newspapers
Step-by-step explanation:
391 is equal to the combination of all the newspapers Nicholas sold over those 5 days. This can be written as an equation:
391 = 86 + 79 + 68 + 83 + x
x represents the number of newspapers Nicholas sold on Thursday.
Now let's solve for x:
First, combine like terms:
391 = 316 + x
now subtract 316 from both sides to isolate x:
391 - 316 = 316 - 316 + x
75 = x
Nicholas sold 75 newspapers on Thursday.
How do you find the exterior angle of this one tho?
Answers
Answer:
To find the exterior angle of any polygon, just construct a line following one of the sides, and measure the angle.
Step-by-step explanation:
PLS GIVE BRAINLIEST
No question given. Repost.
What is the product of 3/5
and 4 3/4
Answers
Answer:
A
Step-by-step explanation:
4 3/4=(4*4)+3 / 4=19/4
3/5 * 19/4= 57/20
=2 17/20