The length and width of the rectangle are 16 cm and 90 cm respectively
What is the Perimeter of a Rectangle?The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.
Perimeter P = 2 ( Length + Width )
Given data ,
Let the perimeter of the rectangle be P = 212 cm
Now , the equation will be
The length of the rectangle be = L
And , length is an even integer and the width is 5 times the next consecutive even integer
So , the width of the rectangle W = 5 ( L + 2 )
Substituting the values in the equation , we get
Perimeter of rectangle P = 2 ( Length + Width )
212 = 2 ( L + 5 ( L + 2 ) )
On simplifying the equation , we get
106 = L + 5L + 10
6L = 96
Divide by 6 on both sides of the equation , we get
L = 16 cm
So , W = 5 ( L + 2 )
W = 5 x 18
W = 90 cm
Hence , the length and width of rectangle is 16 and 90 respectively
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Sally has 30 feet of ribbon. She cuts strips each of length 2 2/5 feet from the ribbon. Sally says I can cut 13 of these strips from this ribbon.
Answer: See explanation
Step-by-step explanation:
For us to know the number of strips that Sally can cut from the ribbon, we have to divide 30 feet by 2 2/5 feet. This will be:
= 30 ÷ 2 2/5
= 30 ÷ 12/5
= 30 × 5/12
= 25/2
= 12 1/2 strips
Therefore, the maximum number of strips that Sally can cut is 12 and not 13.
What do you notice about the area of the base in each prism
Answer:
The area's are the same
Step-by-step explanation:
Both base's areas are 30.
3x+3y=−x+5y what is the ordered pair
Answer:
2x-y=0
Step-by-step explanation:
need help quick!!!!!
Answer:
x = y = 6
Step-by-step explanation:
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you.
heyyy! i haven't posted a question in a long time lolz. anyways, i really needed help with this!! if you can answer my question i'll give brainliest, thank you
9.
The equation a = 640s gives the relationship between s square miles and a acres. Pam owns 7.5 square miles of farmland. How many acres does she own?
4,800 acres
11.72 acres
1.17 acres
480 acres
[tex]a = 640s[/tex]
[tex]a = 640(7.5)[/tex]
[tex]a = 4800 \: [/tex]
She owns 4800 acres.
Answer:
4,800 acres
Step-by-step explanation:
PLEASE HELP!!
Cody bought two pairs of gloves and four hats for $43. Tori bought two pairs of gloves and two hats for $30. What are the prices for the gloves and hats? Write a system of equations!
Answer:
2g + 4h = 43
2g + 2h = 30
Step-by-step explanation:
Answer:
pairs of gloves = x
hats = y
2x + 4y = 43
2x + 2y = 30
hats = $6.50
gloves = $8.50
Step-by-step explanation:
use the elimination method to solve this system.
subtract the first equation by the second.
2x + 4y = 43
- 2x + 2y = 30
--------------------
2y = 13
y = 6.5
plug in the y value to find x
2x + 4 (6.5) = 43
2x + 26 = 43
2x = 17
x = 8.5
What is 2/3 divided by 6/12? REDUCE ANSWER TO SIMPLEST FORM. please help mark you brainiest!!!
Answer:
4/3 or 1.34
Step-by-step explanation:
2/3 ÷ 6/12
= 2/3 × 12/6
= 4/3 or 1.34
2/3 divided by 5 (i just need to check)
Answer:
its 0.13
Step-by-step explanation: plz mark brainliest
Answer:
0.1333333
Step-by-step explanation:
estimate the difference
7 3/4 subtracted by 2 2/5
show your work
Answer:
5 7/20
Step-by-step explanation:
basically, you are going to want to turn these into improper fractions
7 3/4 = 28/4 + 3/4
= 31/4 (no further simplification)
2 2/5 = 10/5 + 2/5
= 12/5
now get common denominator to subtract
31/4 - 12/5
155/20 - 48/20 = 107/20
if you want this back into mixed fraction then convert
107/20 = 5 7/20
Find y when x = 2
y = 30 - 2x
Construct a tangent to circle O at P.
Answer:
its called perimeter when it is near to dot its called cruve
Students from Williams Middle School are also recycling aluminum cans. The data for the numbers of cans brought in each school day for a month were divided by quartiles and summarized in the box plot. Use the drop-down menus to choose the median, interquartile range, and range.
A box plot. The number line goes from 8 to 30. The whiskers range from 10 to 28, and the box ranges from 16 to 20. A line divides the box at 18.
Median:
Interquartile range:
Range:
Answer:
Median is: 18
Interquartile range: 4
Range: 18
Step-by-step explanation:
hope this helps!
pls help quick the blue lines at the bottom are the answer choices
the answer is the third option
Jaime had $37 in his bank account on Sunday. The table shows his account activity for the next four days. What was the balance in Jaime's account after his deposit on Thursday?
Answer:C
Step-by-step explanation:
37 +17.42-12.60-9.62+62.29 = 94.49
A turkey was cut into 10 equal pieces. If Katie ate 210 of the turkey, and Lorenzo ate 510 of the turkey, how many whole pieces of the turkey are left?
Answer:
3 Whole pieces
Step-by-step explanation:
A turkey was cut into 10 equal pieces.
For Katie
If Katie ate 2/10 of the turkey
Number of Whole pieces of turkey Katie ate =
2/10 × 10 whole pieces = 2 whole pieces
For Lorenzo
Lorenzo ate 5/10 of the turkey
Number of Whole pieces of turkey Lorenzo ate =
5/10 × 10 whole pieces = 5 whole pieces
how many whole pieces of the turkey are left?
This is calculated as:
10 pieces - (2 piece + 5 pieces)
10 pieces - 7 pieces
= 3 pieces
Therefore, we have 3 whole pieces of turkey left.
Answer:
3 Whole pieces
Step-by-step explanation:
A turkey was cut into 10 equal pieces.
For Katie
If Katie ate 2/10 of the turkey
Number of Whole pieces of turkey Katie ate =
2/10 × 10 whole pieces = 2 whole pieces
For Lorenzo
Lorenzo ate 5/10 of the turkey
Number of Whole pieces of turkey Lorenzo ate =
5/10 × 10 whole pieces = 5 whole pieces
how many whole pieces of the turkey are left?
This is calculated as:
10 pieces - (2 piece + 5 pieces)
10 pieces - 7 pieces
= 3 pieces
Therefore, we have 3 whole pieces of turkey left.
Please hurry
Select all the points that are on the graph of the line
3x + 5y = 20 ?
Answer:
x=5
y=1
Step-by-step explanation:
3*5=15
5*1=5
15+5=20
80 - [50 - {20 ÷ 2 – (16 - 2÷ 2) ÷ 3}]
80 - [50 - {20/2 - (16 - 2/2) ÷ 3}]
80 - [50 - {20/2 - (15) ÷ 3}]
80 - [50 - {10 - 5}]
80 - [50 - {5}]
80 - [45]
35
Answer:35
Step-by-step explanation:
80-[50-(10-5)
80-(50-5)
80-45=35
The perimeter of a rectangle is 61 centimeters. The length is 4 centimeters longer than the width, w. Which equation can be used to find the width of this rectangle?
A= 2w + 2(w +4) = 61
B= 1/2w + 2 (w+4) =61
C=2w + 1/2 (w +4) =61
D= 1/2 w + 1/2 (w +4) =61
Answer:
A
Step-by-step explanation:
P=2L+2w
P=61
W=W
Since length is 4cm longer
Therefore length=W+4
General equation=2w+2(w+4)=61
Find the slope/
please help me
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y
Rise =
6
-3
Run =
0
1
0 -3
3
3
m =
-6
5
Use this to answer
Using two of the points on the line, you can find the slope of the line by finding the rise and the run. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run
16 is the geometric mean of 8 and what other number n
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Answer:
32
Step-by-step explanation:
The geometric mean relation says ...
16 = √(8n)
256 = 8n . . . . . square both sides
32 = n . . . . . . . . divide by 8
The other number n is 32.
Find f(x) and g(x) so that the function can be described as y = f(g(x)).
y = Four divided by x squared. + 9
a) f(x) = x + 9, g(x) = Four divided by x squared.
b)f(x) = x, g(x) = Four divided by x. + 9
c)f(x) = One divided by x., g(x) = Four divided by x. + 9
d)f(x) = Four divided by x squared., g(x) = 9
the answer is Y/g
y=fgx
y/g=fx,which mines f(x)=y/g
What is Cos^-1( -sq2/2)? Pleaseee help ASAPOL
Answer:
s cos^(-1)(-(q^2 s)/2) + sqrt(4 - q^4 s^2)/q^2 + constant
Step-by-step explanation:
Take the integral:
integral cos^(-1)(-(q^2 s)/2) ds
For the integrand cos^(-1)(-(q^2 s)/2), substitute u = -(q^2 s)/2 and du = -q^2/2 ds:
= -2/q^2 integral cos^(-1)(u) du
For the integrand cos^(-1)(u), integrate by parts, integral f dg = f g - integral g df, where
f = cos^(-1)(u), dg = du, df = -1/sqrt(1 - u^2) du, g = u:
= -(2 u cos^(-1)(u))/q^2 + 2/q^2 integral-u/sqrt(1 - u^2) du
Factor out constants:
= -(2 u cos^(-1)(u))/q^2 - 2/q^2 integral u/sqrt(1 - u^2) du
For the integrand u/sqrt(1 - u^2), substitute p = 1 - u^2 and dp = -2 u du:
= -(2 u cos^(-1)(u))/q^2 + 1/q^2 integral1/sqrt(p) dp
The integral of 1/sqrt(p) is 2 sqrt(p):
= (2 sqrt(p))/q^2 - (2 u cos^(-1)(u))/q^2 + constant
Substitute back for p = 1 - u^2:
= (2 sqrt(1 - u^2))/q^2 - (2 u cos^(-1)(u))/q^2 + constant
Substitute back for u = -(q^2 s)/2:
Answer: = s cos^(-1)(-(q^2 s)/2) + sqrt(4 - q^4 s^2)/q^2 + constant
Wayne is going to send some flowers to his wife. Belmont Florist charges $1 per rose, plus $35 for the vase. Darrell's Flowers, in contrast, charges $2 per rose and $10 for the vase. If Wayne orders the bouquet with a certain number of roses, the cost will be the same with either flower shop. How many roses would there be? What would the total cost be?
9a + 12b + 2a
Help please !
Answer:
11a+12b
Step-by-step explanation:
9a+12b+2a=11a+12b
simplify the expression -8x + 27/9
Answer:
-8/9x + 3
Step-by-step explanation:
(-8x + 27)/9
divide 9 on both side
-8/9x + 3
Practice: Describe the similarities and differences between the following
equations.
y = -6x and y = -6x + 3
John’s batting average is 0.278. What is his batting average rounded to the nearest hundredth?
Answer:
0.28 easy
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
5.5
Step-by-step explanation:
a shop keeper buys 20 kg of sugar at birr y per kg.he sells 16 kg at birr (y+3/4) per kg and the rest at (y+1) per kg.what is his profit. show the step clearly