5. The length of a rectangle is 3 inches less than its width. If the
perimeter is 74 inches, find the dimensions of the rectangle.
Answers
Answer:
length is 17 in, width is 20
Step-by-step explanation:
let's shape this as an algebraic equation, where x= the length of one side.
since the width is 3 inches longer than the length, x will be the length and x+3 will be the width.
the perimeter is 74 in, and the perimeter is the added length of all sides. in a rectangle, 2 sides are the length and 2 sides are the width, so:
74 = 2x + 2(x + 3)
let's distribute the 2.
74 = 2x + 2x + 6
now, we combine the x's.
74 = 4x + 6
after this step, subtract 6 from the right to add it to the left side.
68 = 4x
finally, divide both sides by 4.
17 = x
perfect! now that we know the length, we just have to add 3 to find the width.
17 + 3 = 20
Related Questions
Translation moves P(3,5) to P’(6,1). What are the coordinates of the image of point (-3,5) under the same translation?
Answers
Answer:
B(−6,4), D (−5,−4)
Step-by-step explanation:
Thats the answer to it!
If the marginal revenue (in dollars per unit) for a month is given by MR = −0.5x + 400, what is the total revenue from the production and sale of 30 units?
Answers
Given:
Marginal revenue (in dollars per unit) for a month is
[tex]MR=-0.5x+400[/tex]
To find:
The total revenue from the production and sale of 30 units.
Solution:
We know that, total revenue is integration of marginal revenue with respect to quantity.
[tex]TR=\int MR dx[/tex]
[tex]TR=\int (-0.5x+400) dx[/tex]
[tex]TR=-0.5\int x dx+400\int 1 dx[/tex]
[tex]TR=-0.5\times \dfrac{x^2}{2}+400x[/tex]
Now, substitute x=30 in the equation of Total Revenue (TR).
[tex]TR=-0.5\times \dfrac{30^2}{2}+400(30)[/tex]
[tex]TR=-0.5\times \dfrac{900}{2}+12000[/tex]
[tex]TR=-225+12000[/tex]
[tex]TR=11775[/tex]
Therefore, the total revenue from the production and sale of 30 units is $11,775.
Which expression uses the commutative property to make it easier to evaluate -12 · 13 · 1/3?
A. 12 · 13 · 1/3
B. -12 · 1/3 · 13
C. -1/3 · 13 · 12
D. 1/3 · 13 · (-12)
Answers
Answer:
Not sure it's either B. or D I put B.
Step-by-step explanation:
The commutativity property is used to get
-12×13×1/3 = -12×1/3×13
What is Commutative property?According to mathematics, an arithmetic operation is commutative if switching the operands' positions has no effect on the computation's outcome.
When two numbers A and B are provided, the commutative property of the numbers formula is as follows:
A+B=B+A
A×B=B×A
A-B≠B-A
A÷B≠B÷A
According to the commutative property formula, the outcome is unaffected by the sequence in which two integers are added or multiplied. However, the order of the integers matters for subtracting and dividing any two real numbers, thus it cannot be altered.
How to solve?The commutativity property is used to get
-12×13×1/3 = -12×1/3×13
such that the evaluation becomes easier, which is to get 12×1/3=4.
The commutativity property is used as follows:
-12×(13×1/3)=-12×(1/3×13)
Learn more about commutativity property from-
brainly.com/question/778086
#SPJ2
Solve for n: 2n - 4 < 16
Answers
Answer:
n<10
Step-by-step explanation:
Answer:
n=10 ,,,,,,,,,,,,,,,
0.1 is rational because it can be written as?
Answers
Answer:
0.1 is rational as it can be written as [tex]\frac{1}{10}[/tex]
Step-by-step explanation:
Rational decimals can be expressed as a fraction using integers, and 0.1 = [tex]\frac{1}{10}[/tex], so it is rational.
Answer:
There are various ways of writing 0.1
1/10
110
10%
Those are some ways for writing 0.1
Step-by-step explanation:
I NEED HELP ASAP
The floor of a rectangular pen has a length that is two feet more than four times its width. What is the area of the pen?
Answers
A = length x width
= (4w + 2) . w
= 4w^2 + 2w ft square
Between what two thousands is 9,302?
Answers
Answer:
that would be if you were to rounded you 9,302 it would = 10,300 cuz
Step-by-step explanation:
Help me please asap!!
Answers
Answer:
67
Step-by-step explanation:
180 - (53 + 60) = 67
Batteries cost $5 pack. How many packs did Ryan buy if he spent $25
Answers
Answer:
The answer is 5
Step-by-step explanation:
if coorect mark brainliest
Stefanie is painting her bedroom. She can paint 12 1/3 square feet in 1/5 of an hour. How many square feet can she paint in one
hour?
A 37
B 61 2/3
C 92 1/2
D 12 1/3
Answers
Answer:
37
Step-by-step explanation:
The organizers of a crossword competition stated the rules for how many participants would win prizes. The rules said one of every three would win a prize. Which ratio is equivalent to the ratio in this situation?
A. 5/15
B. 12/3
C. 10/5
D. 2/8
Answers
Answer:
A. 5/15
Step-by-step explanation:
Answer:
Step-by-step explanation:
A. 5/15
The ratio of football players to volleyball players is 7 : 3. If there are 210 football players,
how many volleyball players are there?
Answers
Answer:
90
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
210 divided by 7 = 30
30 x 3 = 90
Giving Brainlyest
Match the picture to the reason that would prove the triangles congruent.
Options:
NONE
ASA
SSS
SAS
AAS
HL
Answers
Answer:
Answer: SSS
Step-by-step explanation:
Triangle congruence
We need to find out if triangles ABC and DCB are congruent.
The image shows one tick mark on sides AC and BD, thus they are congruent.
Two tick marks are shown on sides AB and CD, thus they are congruent.
Finally, both triangles share the side BC.
Being all three sides congruent, the triangles are congruent by the SSS (side-side-side) congruence theorem.
Answer: SSS
help to find the measurment of the side indicated?????
Answers
Answer:
TQ=24
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
my name is jeff so i am the answer to the glitching system located within the matrix of my virtual unkept consistencies of
Solve this equation
2 x + 3 = x - 4
Answers
Answer:
-7
Step-by-step explanation:
2x + 3 = x - 4
so you first add four to both sides of the equal sign:
2x + 3 = x - 4
+ 4 + 4
making the equation:
2x + 7 = x
you now subtract 2x from both sides:
2x + 7 = x
-2x - 2x
to get:
7 = -1x
you then divide both sides by -1:
7/-1 = -1x/-1
to get:
-7 equals x or x = -7
Given the equation `x+2y=4`
What will you get if you want to multiply the entire equation by 2?
Answers
Answer:
2x+4y=8
x+2y=4
2(x+2y=4)
2x+4y=8
PLEASEEE HELP ME ANWSER THISSS ♥️♥️♥️♥️
Answers
Evaluate 5w-w/x when w=6 and x=2
Answers
5(6) - (6)/(2)
30 - 6/2
30 - 3 = 27
HERE IS A DIFFERENT ONE
Answers
Answer:
C
Step-by-step explanation:
Factor:
25y + 27x
Plz help
Answers
Answer:
25y+27x
Step-by-step explanation:
You cannot factor this any further
A room that is in the shape of a cube has a capacity of 1331 cubic feet. The room is ____ feet long
Answers
Answer:
200020ft
Step-by-step explanation:
In a Jeopardy game, your score was at -450. You got the next two questions correct! First, you answered a 150 point question correctly. Secondly, you answered a 500 point question correctly.
help pls!!!
Answers
Answer:
wait what's the question?
Answer:
You would have 200 points
Step-by-step explanation:
-450+150+200=200
What single transformation maps ∆ABC onto ∆A'B'C'?
Answers
Answer:
A rotation 90 degrees clockwise
Step-by-step explanation:
i need help plz plz
Answers
Answer:
42ft
Step-by-step explanation:
I think
Upload the worksheet with your constructions below.
Answers
Answer:
I attached a pic of my work, its 100% correct.
Its a bit messy....
If the slope of line a is -4/3 and the slope of line b is 3/4 line a and line b are perpendicular
A: True
B: False
C: False most of the time
Answers
Answer:
hi! so for perpendicular it's negative reciprocal!
so is -4/3 and 3/4 negative reciprocals?
oh and remember reciprocals are flipped!
if you still don't get it let me know aha
Answer:
True
Step-by-step explanation:
e Whenever you need to find the slope of a line, it is always the reciprocal with the opposite sign. For example, if your slope was 5, your slope to make it perpendicular would be -1/5. If you had the slope of -8/5, the perpendicular sope would 5/8.
Milan will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $48 and costs an additional $0.20 per mile driven. The
second plan has an initial fee of $57 and costs an additional $0.15 per mile driven.
For what amount of driving do the two plans cost the same?
What is the cost when the two plans cost the same?
If you do not have both of the answers do not bother to reply.
Answers
For 180 miles of driving the two plans will cost the same, at a price of $84.
Step-by-step explanation:1 - Set up the system of equations
Let x represent the miles driven
Let y represent the cost
First Plan:
y = $48 + $0.20x
Second plan:
y = $57 + $0.15x
Note that both are set equal to y, that means we can substitute y in one equation with the other equation because y = y
2 - Substitute
$57 + $0.15x = y = $48 + $0.20x
$57 + $0.15x = $48 + $0.20x
3 - Get the variables on one side and the constants on the other and then get x alone
$57 + $0.15x = $48 + $0.20x
- $48 - $48
$9 + $0.15x = $0.20x
- $0.15x - $0.15x
$9 = $0.05x
$9/0.05 = $0.05x/0.05
x = 180 Miles
"For what amount of driving do the two plans cost the same?
For 180 miles of driving the two plans will cost the same.
4 - Plug 180 in for x in either equation and solve to find the cost at which they equal
y = $48 + $0.20x
y = $48 + $0.20(180)
y = $48 + $36
y = $84
"What is the cost when the two plans cost the same?"
$84 is the cost when the two plans cost the same
Hope this helps
PLEASE ANSWER ALL THE QUESTIONS WILL MARK BRAINLIEST!!!
Solve the equation 5x + (−2) = 6x + 4 using the algebra tiles.
What tiles need to be added to both sides to remove the smaller x-coefficient?
A. 5 negative x-tiles
B. 5 positive x-tiles
C. 6 negative x-tiles
D. 6 positive x-tiles
What tiles need to be added to both sides to remove the constant from the right side of the equation?
A. 2 negative unit tiles
B. 2 positive unit tiles
C. 4 negative unit tiles
D. 4 positive unit tiles
What is the solution?
A. x = –6
B. x = –2
C. x = 1
D. x = 2
Answers
Answer:
1. A
2. C
3. A
Explanation:
5x+(-2)=6x+4
-5x -5x
(-2)=1x+4
-6=x
Answer:
What tiles need to be added to both sides to remove the smaller x-coefficient?
✔ 5 negative x-tiles
What tiles need to be added to both sides to remove the constant from the right side of the equation?
✔ 4 negative unit tiles
What is the solution?
✔ x = –6
Step-by-step explanation:
"The sum of three times a number and 8 is -22" What is the equation?
Answers
Answer:
(-10×3) + 8 = -22
please help asap
The two lines graphed below are not parallel. How many solutions are there to the system of equations?
A.
Infinitely many
B.
Two
C.
One
D.
Zero
Answers
Answer:
one
Step-by-step explanation:
they meet at only one point, thus their system of equations has as solution only those coordinates.