Answer:
The width of the frame is 3 inches
Step-by-step explanation:
We are told that the inner rectangle is 10 inches by 16 inches.
It means the outer rectangle has to be (L = 10 + 2x) by (W = 16 + 2x),
Where x represents the width of the frame.
The perimeter of the frame is given by; p = 2L + 2W
p = 2(10+2x) + 2(16+2x)
We are given perimeter, P = 76
Thus;
2(10 + 2x) + 2(16 + 2x) = 76
Divide both sides by 2 to give;
(10+2x) + (16+2x) = 38
(10+16) + (2x+2x) = 38
4x = 38 - 26
4x = 12
x = 12/4 = 3
The width of the frame is x = 3 inches
A1 There are two ends so their combined surface area is 2 π * r2. The surface area of the side is the circumference times the height or 2 π * r * h, where r is the radius and h is the height of the side. The entire formula for the surface area of a cylinder is 2 π r2 + 2 π r h. so add the number of the height and radius plug in and you will get the answer for that.
x represents the miles per minute.
This is because distance is always found by
rate x minutes
Answer:
12x + y = 16
Step-by-step explanation:
Standard Form: Ax + By = C
Step 1: Write point-slope form
y + 4 = -12(x - 1)
Step 2: Find slope-intercept form
y + 4 = -12x + 12
y = -12x + 16
Step 3: Find standard form
12x + y = 16
Answer:

or

Step-by-step explanation:
<u><em>The correct question is </em></u>
A landscaper needs 3 4/8 pounds of plant food. He has 1 1/4 pounds in his truck, and another 4/6 pound at his shop. How many more pounds of plant food does the landscaper need?
Let
x ----> the additional pounds of plant food needed for the landscaper
we know that
The additional pounds of plant food needed for the landscaper plus the pounds in his truck plus the pounds in his shop must be equal to the total pounds of plant food needed
so
The linear equation that represent this problem is

Convert mixed number to an improper fractions


Substitute in the expression above

solve for x
Multiply by (4*6) both sides to remove the fractions

Combine like terms left side

subtract 46 both sides


Divide by 24 both sides

simplify

Convert to mixed number
