A rectangle is 2.5 times as long as it is wide. Find the dimensions of the rectangle if it is perimeter is 56 cm.I need a help with this question plz and what are the steps to find the right answer!!

Answers

Answer 1

Answer: perimeter of a rectangle = 2 (length + breadth)
or, 56 = 2(2.5 breadth + breadth)
or, 56 = 7*breadth
breadth = 56*7 = 8 cm
length = 2.5*8 = 20 cm

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the area of a rectangle is 54x^9y^8 square yards if the length of the rectangle is 6x^3y^4 yards what expression represents the width of the rectangle in yards

Answers

For this case we have:
The area of a rectangle is given by:
A = (w) * (l)
Where,
w: width
l: long
Substituting values we have:
(54x ^ 9y ^ 8) = (w) * (6x ^ 3y ^ 4)
Clearing w we have:
w = (54x ^ 9y ^ 8) / (6x ^ 3y ^ 4)
Rewriting:
w = (9 * x ^ 6y ^ 4)
Answer:
the length of the rectangle is:
w = (9 * x ^ 6y ^ 4)

A number increased by four is the same as 19 minus 2 times the number

Answers

From the information given, 4 added to the unknown number is equal to 2 times the unknown number when it is subtracted from 19.

Let the number be x

x + 4 = 19 - 2 (x)

We now expand and simplify the equation by placing unknown on one side and the known on the other side

x + 4 = 19 - 2x

x + 2x = 19 - 4

3x = 15

x = 15 /3

x = 5

Consider the line 7x+6y=5.What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?
Slope of a perpendicular line:
005
x 5
?
Slope of a parallel line:
a

Answers

Answer:

Slope of parallel line: -7/6

Slope of perpendicular line: 6/7

Step-by-step explanation:

7x + 6y = 5

6y = -7x + 5

y= -7/6x + 5/6

Siti had 135 buttons. 5/9 of the buttons were red and the rest were blue. She used 64 red buttons and bought some more blue buttons. She had 84 buttons left in the end. How many blue buttons did Siti buy?

Answers

Answer:

Siti bought 13 blue buttons

Step-by-step explanation:

for not to get confused, we are going to solve the problem step by step

Siti had 135 buttons

5/9 of the buttons were red and the rest were blue

let's calculate how many buttons were red out of 135

135 * 5/9 = 75

if 75 buttons were red and the rest were blue, we can calculate how many were blue

135 - 75 = 60

says she only use 64 red buttons

if we had 75 red buttons and she used 64

75 - 64 = 11

she tells us that she had 84 buttons left, from which we know she had 11 red buttons that had been left over and 60 blue ones that she did not use, so we can calculate how many blue buttons she bought since we have the total number of buttons that she has now

84 - 60 -11 = 13

Siti bought 13 blue buttons

Find two consecutive odd integers whose sum is 176

Answers

consecutive odd integers aer 2 apart

they are n and n+2
the sum is add
n+n+2=176
2n+2=176
minus 2 both sides
2n=174
divide both sides by 2
n=87
n+2=89
the numbers are 87 and 89

1. Jack is 30 years old and Alice is 35 years old. What percent of Alice's age is Jack, rounded to the nearest tenth of a percent?

Answers

the answer would be 57percent

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