Answer: y=9
Step-by-step explanation:
Simplifying
7y = 3y + 36
Reorder the terms:
7y = 36 + 3y
Solving
7y = 36 + 3y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-3y' to each side of the equation.
7y + -3y = 36 + 3y + -3y
Combine like terms: 7y + -3y = 4y
4y = 36 + 3y + -3y
Combine like terms: 3y + -3y = 0
4y = 36 + 0
4y = 36
Divide each side by '4'.
y = 9
Simplifying
y = 9
First, write an equation system based on the problem
An equation for "the perimeter of a rectangle is 70 in" can be written as following
∴ 2l + 2w = 70 <em>(first equation)</em>
An equation for "the length is 11 in more than its width" can be written as following
∴ l = w + 11 <em>(second equation)</em>
Second, solve the equation by substitution method o find the dimension of the rectangle.
Substitute/plug l as (w+11) into the first equation
2l + 2w = 70
2(w + 11) + 2w = 70
2w + 22 + 2w = 70
4w + 22 = 70
4w = 70 - 22
4w = 48
w = 48/4
w = 12
The width of the rectangle is 12 in
Substitute w with 12 to the second equation
l = w + 11
l = 12 + 11
l = 23
The length of the rectangle is 23 in
Third, find the area of the rectangle
a = l × w
a = 23 × 12
a = 276
The area of the rectangle is 276 in²
Let n = number
"3 times the sum of a number and 7" translates to 3(n + 7)
"2 less than five times the number" translates to 5n - 2
The word "is" becomes the equals sign.
3(n + 7) = 5n - 2
I think you already asked this one.
Answer: 56.64%
Step-by-step explanation:
Given: Previous amount of flour = 2.26 kilograms
By the end of the baking session, amount of flour = 0.98 kilograms
Decrease in amount = 2.26-0.98 = 1.28 kilograms
Percent decrese = 
Hence, the percent decrease in the amount of flour = 56.64%
Answer:
5hours
Step-by-step explanation:
10:15 - 05:15 = 5 hours
Thsi means that local time in Philippines is 5 hours ahead of local time in Riyadh, Saudi Arabia.
The time can be interpreted as follows ; At a certain time in the Philippines, say 10:15 am in the morning, At this verh point in the Riyadh, Saudi Arabia, the time will be :
(10:15 - 5 hours) = 05:15
