Answers
Absolute value is when any value that's inside the box, positive or negative, will always come out as positive.
For this one, you solve it as a normal equation, solving for x.
So, 8 = 5 - x
8-5 = 5-5 - x
3 = -x
x = -3
One value can be -3
To find the other value, just find any value that's equal to 8 when added or subtracted from 5, negative or positive.
We have 13 in this case.
5 - 13 is equals to -8 but since it's absolute value, it would be positive 8.
So, the answer is D
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8 = |5 - x|
Then flip it
|-x + 5| = 8
Then solve for the absolute value
We know either -x + 5 = 8 or -x+5 = -8
Let's solve the first possibility,which is -x + 5 = 8
-x + 5 = 8
-x= 8 - 5
-x = 3
Remember that we cannot leave the variable with a negative sign. To turn it into a positive sign, we need to divide both sides by -1
-x/-1 = 3/-1
x= -3
Now let's solve the second possibility which is -x+ 5 = -8
-x + 5 = -8
-x = -8 - 5
-x = -13
again, we cannot leave it with the negative sign so we gonna do the same thing which is divide both sides by -1
-x/-1 = -13/-1
x = 13
Thus, the answer is x= -3 or x = 13
The correct answer is option D
Best of luck with your studies!
Related Questions
Paulo paid $12.25 For some pencils and pens. He bought 19 more pencils than pens. the pencils cost.25 cents each and the pens cost$1.25 each. How many pens and pencils did Paulo buy?
Answers
What are the coefficents
in 5a + 6b- 7c
Answers
So they would be 5,6 and -7
A shoe store marks up its merch by 8%. What was the selling price of a pair of shoes whose wholesale price is $24.50?
Answers
24.5+1.96=26.46$
To which place value is the number rounded? 8.293 to 8.29?
Answers
Round each decimal to the nearest one then subtract $3.85-$2.17
Answers
To round $6.375 to the nearest one, it becomes $6.38. To subtract $3.85-$2.17, the result is $1.68.
Explanation:To round decimal numbers to the nearest whole number, you will determine whether the decimal portion is closer to the previous or next whole number. If it is less than 0.5, you will round down, and if it is 0.5 or greater, you will round up. In this case, $6.375 is closer to $6.38, so you would round it up to $6.38.
To subtract decimals, you align the decimal points and subtract each place value from left to right. In this case, you would subtract $2.17 from $3.85:
$3.85
- $2.17
= $1.68
To round each decimal to the nearest one and then subtract $3.85 - $2.17, you start by rounding each number individually. $3.85 rounds to $4.00, and $2.17 rounds to $2.00. Once rounded, you then subtract the rounded numbers to find the total. So, it would be $4.00 - $2.00, which equals $2.00.
5(x – 2) = 30 Help her follow these steps to finish solving for x.
Answers
5(x-2) = 30
distribute the 5 by multiplying it with what is inside the parenthesis
5x-10 = 30
add 10 to both sides:
5x = 40
divide both sides by 5
x = 40/5
x = 8
x=8
Divide. Use partial quotients. 1056÷48
Answers
PLEASE HELP!! Which expression is equivalent to the given expression? 6y−12
6y−12
A)6y−12y−126y−12y−12
B)3y+3y−12
C)6y+6y−126y+6y−12
D)12y−6−6
Answers
3y+3y−12 is the right option
Step-by-step explanation:According to addition rules of algebra, only those terms can be added whose powers are same. Same terms while adding and subtracting at the same time cancel each other. As we can see that the second option 3y + 3y will give us -6y and then -12 is with it so it results 6y - 12 and that is the required function.
What does CPCTC mean in Geometry AND when it is used?
Answers
Answer:
Corresponding parts of congruent triangles are congruent.
Step-by-step explanation:
With SSS, SAS, ASA, and AAS, you know how to use three congruent parts of two triangles to show that the triangles are congruent. Once you know that two triangles are congruent, you can make conclusions about their other corresponding parts because, by definition, corresponding parts of congruent triangles are congruent.
CPCTC is an acronym for corresponding parts of congruent triangles are congruent.
The usage
CPCTC is often used to determine the similarities and congruence of two or more triangles.
Take for instance, the SSS congruence theorem means that the triangles are similar or congruent by Side-Side-Side.
Using CPCTC, it helps to know when the corresponding sides and/or the corresponding angles of the triangles that are being com pared are congruent.
Read more about CPCTC at:
https://brainly.com/question/10719089
Suppose a seventh grader birthday is today,and she is 12 years old.how old was she 3 1/2 years ago?draw a number line
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Jump back three dots (•) from 12 to 11 to 10 to 9. Those are your three years. Now we have to calculate the additional 1/2 year, right? Jump back one square (◘) from 9 to 8.5. That's your answer :) She was 8 1/2 years old.
Cole had 3/4 of an hour of free time before dinner he spent 2/3 of that time playing the guitar how long did he play the guitar
Answers
In the following problem, how many people are in business together? Enter your answer as a number.
Maurice and three of his friends have a lemonade stand. They want to make enough money so that, after splitting the earnings evenly, each person earns $12.
Answer:
Will Give Brainliest
Answers
Final answer:
Maurice and his three friends are in business together, making a total of 4 people involved in the lemonade stand business.
Explanation:
The question asks about the number of people who are in business together at a lemonade stand. To find the answer, you consider Maurice and his three friends who are part of the business.
Therefore, the total number of people in business together is:
Maurice + three friends
So the total number of people in the business is:
1 (Maurice) + 3 (friends) = 4 people.
PLEASE ANSWER! Giving away 15 points if someone answers!!!
Venetta buys 2 pounds of pistachios and 3 pounds of almonds. The pistachios cost $4 more per pound than the almonds. She pays a total of $48. Which of the following are true? Select all that apply. A. One pound of pistachios plus 1 pound of almonds cost $20. B. The pistachios cost twice as much per pound as the almonds. C. Reducing the number of pounds of almonds by one results in a total cost of $40. D. The cost a, in dollars, of 1 pound of almonds is modeled by 2(a – 4) + 3a = 48. E. The cost p, in dollars, of 1 pound of pistachios is modeled by 2p + 3(p – 4) = 48.
Answers
Answer:
Option A and C.
Step-by-step explanation:
Venetta buys 2 pounds of pistachios and 3 pounds of almonds for $48.
The cost of pistachios $4 more per pound than the almonds.
Let the cost of almonds be a
Therefore, cost of pistachios p = 4 + a ------(1)
Venetta bought 2 pound of pistachios and 3 pounds of almonds for $48, so the equation will be
2p + 3a = 48 -----------(2) [we will substitute equation 1]
2(4+a) + 3a = 48 --------------(3)
(2 × 4) + (2 × a) + 3a = 48
2a + 3a + 8 = 48
5a + 8 = 48
5a = 48 - 8
5a = 40
a = 40/5
a = 8
hence the cost of almonds are $8 per pound.
the cost of pistachios is 4 + 8 = $12 per pound.
Option A and C is the correct answer.
need help with #12 please
Answers
It has a weak correlation.
What is the factorization of 400 using exponents
Answers
You know the measures of two interior angles of a triangle. How can you find the measure of the third interior angle?
Answers
how to do a=b+c plz explain there all variables and your solving for c
Answers
a-b=b+c-b
a-b=c
or
c=a-b
We essentially just need to get "c" onto it's own side of the equal sign :)
So, subtract b from both sides!
a - b = b + c - b
Simplify.
a - b = c
So, c = a - b
~Hope I helped!~
Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k.
k = ______
(No answer choices) Please explain well!
Answers
g(x) is 3 units higher than f(x)
Since the graph is 3 units higher, the value of k must be 3.
Have an awesome day! :)
Answer:
3
Step-by-step explanation:
“I am thinking of a number such that 6 less than the product of 7 and this number is 85.” Which number is she thinking of?
A. 11
B. 13
C. 84
D. 637
100!!!!!!! POINTS PLEZ SHOW WORK
Answers
let x = the number
7x - 6 =85
add 6 to each side
7x =91
divide each side by 7
x = 91 /7 = 13
Answer is B 13
Answer:
I agree with Music lover
Step-by-step explanation:
The cost of a car, in dollars, t years after its purchase is $20,000 - $3,000t.
Which statement is correct?
A.
The cost of the car depreciates every year by $3,000.
B.
The cost of the car depreciates every year by $20,000.
C.
The cost of the car increases every year by $3,000.
D.
The cost of the car increases every year by $20,000.
Answers
The correct statement is that the cost of the car depreciates every year by $3,000. This is determined by analyzing the provided depreciation formula, $20,000 - $3,000t, where t is the number of years after purchase.
Explanation:The cost of a car, in dollars, t years after its purchase is described by the equation $20,000 - $3,000t. This equation indicates that the value of the car is decreasing by a fixed amount each year. Taking a closer look at the formula given, we can see that the t variable, which represents time in years, is multiplied by $3,000. This $3,000 is then subtracted from the initial value of the car, $20,000. Therefore, each year, the value of the car decreases by this amount of $3,000.
Given the options:
A. The cost of the car depreciates every year by $3,000.B. The cost of the car depreciates every year by $20,000.C. The cost of the car increases every year by $3,000.D. The cost of the car increases every year by $20,000.The correct answer is:
A. The cost of the car depreciates every year by $3,000.
The correct statement is A. The cost of the car depreciates every year by $3,000, which can be deduced from the depreciation equation of the car's value over time.
Explanation:The cost of a car, in dollars, t years after its purchase is given by the equation $20,000 - $3,000t. This equation represents a linear function where the initial value of the car is $20,000 and it decreases by $3,000 for each year t that passes. Therefore, the correct statement is:
A. The cost of the car depreciates every year by $3,000.
Each year that passes, the term $3,000t increases by $3,000 since t increments by 1, thus reducing the overall value of the car by another $3,000.
Ali's dog weighs 8 times as much as her cat.together,the two pets weigh 54 pounds. How much does Ali's dog weigh?
Answers
Nick has fraction 1 over 2 cup of syrup. He uses fraction 1 over 6 cup of syrup to make a bowl of granola. Part A: How many bowls of granola can Nick make with fraction 1 over 2 cup of syrup? Part B: On your own paper, draw a fraction model that shows the total number of bowls of granola that Nick can make with fraction 1 over 2 cup of syrup. Make sure to label the model. Below, explain your model in detail to describe how this model visually shows the solution for Part A.
Answers
Answer: There are 3 bowls of granola that Nick can make.
Step-by-step explanation:
Since we have given that
Part of syrup used by Nick = [tex]\dfrac{1}{2}[/tex]
Part of syrup used by Nick to make a bowl of granola = [tex]\dfrac{1}{6}[/tex]
So, Number of bowls would be
[tex]\dfrac{\dfrac{1}{2}}{\dfrac{1}{6}}\\\\=\dfrac{6}{2}\\\\=3[/tex]
Hence, there are 3 bowls of granola that Nick can make.
subtract.
−5 1/3−2 1/3
Enter your answer in the box as a simplified mixed number.
Answers
Answer:
−7 2/3
Step-by-step explanation:
You need to simplify both of the fractions before doing the math.
Step 1
Simplify!
-16/3 - 7/3
Step 2
Very lucky you! The denominators are the same! No making edits to fractions. Just subtract.
-16/3 - 7/3 = -23/3
BUT ITS NOT THE ANSWERYou need to turn it into a mixed number.
Step 3
Divide -23 by 3. INCLUDE REMAINDERS!
-7 r2
Step 4
Place the 2 in the numerator, and the -7 is the number! Nothing happens to 3.
-7 2/3
Thus, −5 1/3−2 1/3 = -7 2/3.
The value of the expression (−5 1/3) − (2 1/3) will be −7 2/3.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The expression is given below.
⇒ (−5 1/3) − (2 1/3)
Simplify the expression, then we have
⇒ (−5 1/3) − (2 1/3)
⇒ −16/3 − 7/3
⇒ −23/3
⇒ −7 2/3
The value of the expression (−5 1/3) − (2 1/3) will be −7 2/3.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
graph the solutions all real numbers that are greater than -8 and less than 8
Answers
Which equation correctly applies the distributive property?
−1.5⋅(6⋅1.25)=(−1.5⋅6)⋅1.25
−2.5⋅0.6⋅5.8=−2.5⋅5.8⋅0.6
(0.7⋅0.7)+(0.7⋅0.9)+(0.7⋅0.2)=0.7⋅(0.7+0.9+0.2)
70+2.028=(70⋅2)+(70⋅0.02)+(70⋅0.008)
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the recommended heart rate for weight management exercise and improving cardio fitness, i beats per minute, depends on a person's age and can be represented by the expression 0.7(220-a)
Answers
An online retailer charges $6.99 plus $0.55 per pound to ship electronics purchases.Write an equation to find how many pounds is a DVD player for which the shipping charge is $11.94?
Answers
The area of a rectangle is 117 square meters the width is 9 meters what is the length of the rectangle
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[tex]117 = x \times 9 \\ \\ x = 117 \div 9[/tex]
The radius of a circle is 9. Using π, which equation expresses the ratio of the circumference of the circle to the circle's diameter? A) C /9 = π B) C /18 = π C) C = 9π/r D) C = r /18π
Answers
Answer:
The answer is C.
Step-by-step explanation:
option B
diameter = 2 × radius = 2 × 9 = 18
circumference = pi × 18 = 18pi
18pi/18
on simplifying this, we get pi.
PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE Please help please
1.)The system of equations is graphed on the coordinate plane.
y=x−1y
−2x− 4
Enter the coordinates of the solution to the system of equations in the boxes.
(__,__)
Answers
________________________________________
Note: By examining the point of intersection of the lines of the 2 graphs show in the "image attached", we can see that the point of intersection is at: "(-1, 2"); that is: "x = -1, y = 2" .
________________________________________
Answer:
Step-by-step explanation:
The correct answer is: (-1, -2)
this is how i got my answer: by examining the point of intersection of the lines of the 2 graphs show in the we can see that the point of intersection is at (-1, 2) Answer: x = -1, y = 2 ∀∈