let
width = w
length = 4w + 11
2(length) + 2(width) = perimeter
2(4w + 11) + 2(w) = 162
8w + 22 + 2w = 162
10w + 22 = 162
10w = 140
w = 14 cm (WIDTH)
length = 4w + 11
length = 4(14) + 11
length = 56 + 11
LENGTH = 67 cm
The length is 4(14)+ 11 = 67 cm and width is 14 cm.
what is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific values in our day-to-day situations.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Perimeter of rectangle = 162 cm
let the width be x .
then, the length is 4x+ 11
Thus, Perimeter of rectangle= 2(l + w)
162 = 2( 4x + 11 + x)
162 = 2( 5x +11)
81 = 5x+ 11
5x= 70
x= 14
Hence, the length is 4(14)+ 11 = 67 cm and width is 14 cm.
Learn more about algebra here:
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Select two ratios that are equivalent to 2:9
Choose 2 correct answers 40 points
Answer:
4:18 6:27 8:36
Step-by-step explanation:
The ratio of gifts wrapped in red to gifts wrapped in green is 3:5. If there are 32 total gifts, how many of each are wrapped in red? In green?
Answer:
Step-by-step explanation:
This is probably pretty late, but I'll do it anyway.
There are 8 parts all together.
3x + 5x = 32 Combine the terms on the left.
8x = 32 Divide by 8
8x = 32/8
x = 4
Therefore the red gifts are 3*4 = 12
The green gifts are 5*4 = 20
Total 32 Just as it should
What is 0.612 repeating (meaning the repeating line is over 612) as a fraction
Answer:
[tex]\frac{612}{999}[/tex]
Step-by-step explanation:
To convert repeating decimals to fractions, you take the numbers that are repeating, in this case 612, and you see how many numbers are repeating. Here we have 3 numbers repeating and so you would divide 612 by 3 9's meaning 999. So 0.612 repeating is equal to [tex]\frac{612}{999}[/tex]. To make sure the answer is right, you can divide the numbers in a calculator to make sure you get the correct decimal.
(2/3)x = 12
what does x =
Answer:
x=18
Step-by-step explanation:
To solve for x you need to times both sides by 3/2 so then 12*3/2=12*1.5=18.
(can I get brainliest please)
Answer:
X = 18
Step-by-step explanation:
(2/3)X = 12
X = 12/(2/3)
X = 36/2
X = 18
Tell whether each sentence about the factors of of 12 is True or False.
A. Allthefactorsof12are2,3,4,6,12.
B. 1 and 12 are a factor pair.
C. 120isafactorbecause10x12=120.
D. An array showing the factor pair of 3 and 4 would have 3 rows of 4 objects.
☐ True ☐ True ☐ True ☐ True
☐ False ☐ False ☐ False ☐ False
Answer:
A. True, 1 is always a factor too but It wasn't included there
B. True
C. True
D. False, it makes no sense.
Step-by-step explanation:
Have a nice day
The price of a television was increased from $200 to $250. By what percentage was the price of the television increased
Answer:
20%
Step-by-step explanation:
cuz quick meths
Plz i NEED HELP ABOUT TO FINISH THIS CLASS! PLZ
17. Does the following system have a unique solution? Why?
Answer:
last one
Step-by-step explanation:
in a packet or Skittles there are, 40 Skittles,30 are red how many Skittles are not red
Answer:
10
Step-by-step explanation:
hope this helps ")
Joey wants to paint this side of his cottage. What is the area of this side?
A. 56 square feet
B. 238 square feet
C. 294 square feet
D. 462 square feet
Answer:
238 B
Step-by-step explanation:
8.5*28
Find the difference in SIMPLEST form:
3 1/5 - 1 1/10=
Answer:
2 1/10
Step-by-step explanation:
Answer:
2 1/10 or 2.1
Step-by-step explanation:
Help
Fjdjdjdjdjdjdjdjdjjd
Answer:
D. -2/5
Step-by-step explanation:
Write 0.37 as a percent.
Answer:
37
Step-by-step explanation:
Answer:
37%
Step-by-step explanation:
0.37 x 100 = 37%
Estimate the solution of 4x + 5 = 34.
Answer:
29/4
Step-by-step explanation:
4x=29
x=29/4
The value of x and the solution of the equation is 7.25.
What is an Equation?An equation is a statement that is formed when two algebraic expressions are equated by an equal sign.
The solution of 4x+5 = 34 is
4x = 34-5
4x = 29
x = 29/4
x = 7.25
The value of x and the solution of the equation is 7.25.
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Convert 4/16 to a decimal.
0.1
O
0.25
0.5
0.75
Answer:
0.25
How to Solve:
Take the denominator of 4/16 and find a number to make it 10, 100, any one followed by zeroes:
16 x 6.25 = 100
Do the same to the numerator:
4 x 6.25 = 25
Now, take 25 and take a decimal point two spaces to the right:
0.25
n ÷ -6 = 4 - (-2)
-12
36
-36
12 ********************************
Answer:12
Step-by-step explanation:
;)88):4?8’kifssvjimdargyjkk
What is the image of the point (-8,0)(−8,0) after a rotation of 270^{\circ}270
∘
counterclockwise about the origin?
Answer:
(0,8)
Step-by-step explanation:
270 counterclockwise is the same as 90 clockwise, the formula for 90 clockwise is (y, -x) so plug in the variables and you get (0,8)
Find the location of A' given that A is (7, 1).
Translate 1 unit left.
The location of A' is ____
Answer:
We conclude that the location of A' is: A'(6, 1)
Step-by-step explanation:
Given
A(7, 1)To determine:
The location of A'
Translation Rule:
As we have to translate 1 unit left, meaning we need to subtract 1 unit from the x-coordinate of point A(7, 1) to determine the location of A'.
In other words, the translation rule is:
A(x, y) → A'(x-1, y)
as
A(7, 1)
so
A(7, 1) → A'(7-1, 1) = A'(6, 1)
Therefore, we conclude that the location of A' is: A'(6, 1)
Len bought 12.3 ounces of cashews and 15.2 ounces of almonds.
He calculates that if he and four friends share all the nuts equally, each person will receive 5.1 ounces of nuts.
Is his answer reasonable? Use 3-5 complete sentences to explain why or why not.
Answer:A manufacturer produces nuts and bolts. It takes 1 hour of work on machine A and 3 hours on machine B to produce a package of nuts. It takes 3 hours on machine A and 1 hour on machine B to produce a package of bolts. He earns a profit of Rsl7.50
Step-by-step explanation:
Answer:
Lens answer is not reasonable because if you do the math she will be able to share 6.875 ounces. I know this because you can add 12.3 and 15.2 to get 27.5. If you divide 27.5 by 4 you get 6.875.
Step-by-step explanation:
Two shirt screening companies charge a set up fee and a charge for
each shirt made. The table shows the total costs for the company
Shirt Express. The total cost y (in dollars) for x shirts made by Shirt
Custom is represented by the equation y = 8 + 46.
Answer:
y=54
Step-by-step explanation:
What is the range in interval notation?
Answer:
The blue box
Step-by-step explanation:
Youre talking about range which takes place on the y-axis (domain is the x-axis).
The top point is an open circle which indicates in the math world the parentheses and the bottom point 1 in a bracket as its a closed circle.
HELP ME PLEASE!!!
On a scale drawing of a house, the dimensions of the living room are 4 inches by 3 inches. If the scale drawing is 1 in: 6 ft , find the actual length and width of the living room.
Answer:
The width is 18
Step-by-step explanation:
6x3 and get 18 as the width
Write an equation of a line that is parallel to y = x - 7 and passes through the point (-6, -11).
Answer:
y = x - 5
Step-by-step explanation:
Comparing the given y = x - 7 to y = mx + b, we see that the slope is +1.
In y = x + b we replace y with -11 and x with -6 to determine the y-intercept, b:
-11 = -6 + b
Then b must be -5, and so the desired new equation is
y = x - 5
There are 9 times as many cubes in the black bag as in the green bag. The green bag has 12 cubes. How many cubes are in the black bag?
Answer:
108
Step-by-step explanation:
Answer:
108 cubes
Step-by-step explanation:
9 times 12 equals 108
9 • 12 = 108 cubes
Please give me the correct answer
ANSWER ASAP PLEASE
If Jose drove 330 miles in 5.5 hours, how many miles did he drive per hour?
Answer:
60mph
Step-by-step explanation:
330 divided by 5.5 is 60
is 42x - 56y equivalent to 42 (x + 14y)
Answer:
No
Step-by-step explanation:
42x+588
Solve for x
4x + 188
6x+216
Eagle Sports Supply had net income of $2,000 on sales this year. The firm paid a dividend of $500 and retained the rest earnings for financing for the next year. Total assets were $100,000, of which $40,000 was financed by debt. The rest were financed by equity.
(a) What is the firm’s internal growth rate?
(b) What is the firm’s sustainable growth rate?
(c) If the firm grows at its sustainable growth rate, how much new debt will be issued in the next year?
Answer:
089908
Step-by-step explanation:
i dont know lol but wana see
What is the quotient of Three-fifths and StartFraction 1 Over 10 EndFraction?
A number line going from 0 to 1 in increments of 0.2.
One-sixth
One-third
3
6
Answer:
D:6
Step-by-step explanation:
3/5 = 6/10
6/10 divided by 1/10 equals 6
so 6 is your answer.
Answer:
d
Step-by-step explanation:
Which polynomial represents the product of 2x - 4 and x2 + 6x - 2 ?
ОА
2x3 + 8
thing
B
2x3 + 8x2 - 4x + 8
с
2x3 + 8x2 - 28x + 8
D
2x3 - 24x - 2
Answer:
C. [tex] 2x^3 + 8x^2 - 28x + 8 [/tex]
Step-by-step explanation:
Product of [tex] 2x - 4 [/tex] and [tex] x^2 + 6x - 2 [/tex]
[tex] (2x - 4)(x^2 + 6x - 2) [/tex]
[tex] 2x(x^2 + 6x - 2) -4(x^2 + 6x - 2) [/tex] (distributive property)
[tex] 2x^3 + 12x^2 - 4x -4x^2 - 24x + 8 [/tex]
Collect like terms
[tex] 2x^3 + 12x^2 - 4x^2 - 4x - 24x + 8 [/tex]
[tex] 2x^3 + 8x^2 - 28x + 8 [/tex]
