Answer:
28:26
Explanation:
Because a ratio compares things. Since there are 26 students on the floor, and 28 students on the bleachers, you would type 28:26.
I hope I was helpful :)
Answer:
-18.75 is a rational number. A rational number is any number that has either a repeating decimal or one that ends. It doesn’t no go on, so it is considered rational. Hopefully this helps! Feel free to mark brainliest!
The student made a mistake in step 2 because he added it instead of multiplying. So for step 2 the correct answer is 6x-12 =8+2x+6
The smallest amount of material needed is 54 square centimeters
<h3>How to determine the amount of material needed?</h3>
The given parameters are:
Volume = 36 cubic centimeters
Represent length with x, width with y and height with z.
So, we have
x = 3y
The volume is calculated as:
V = xyz
This gives
V = 3y²z
Substitute 36 for V
3y²z = 36
Divide by 3
y²z = 12
Make z the subject
z = 12/y²
The surface area is:
S = 2(xy + xz + yz)
This gives
S = 2(3y² + 3yz + yz)
Evaluate the like terms
S = 2(3y² + 4yz)
Expand
S = 6y² + 8yz
Substitute z = 12/y²
S = 6y² + 8y * 12/y²
This gives
S = 6y² + 96/y
Differentiate
S' = 12y - 96/y²
Set to 0
12y - 96/y² = 0
Multiply through by y²
12y³ - 96 = 0
Add 96 to both sides
12y³ = 96
Divide by 12
y³ = 8
Take the cube root of both sides
y = 2
Recall that:
x = 3y and z = 12/y²
This gives
x = 3 * 2 = 6
z = 12/2² = 3
Recall that:
S = 2(xy + xz + yz)
So, we have:
S = 2(6 * 2 + 3 * 3 + 2 * 3)
Evaluate
S = 54
Hence, the smallest amount of material needed is 54 square centimeters
Read more about surface areas at:
brainly.com/question/76387
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Answer:
x =
y = (0,26)
Step-by-step explanation:
First find the x intercept
To find the x intercept, substitute 0 for y and solve for x.

Rewrite the equation as 

Subtract 6 from 0.

Divide each term in
by 4.

Cancel the common factor of 4.

Simplify 

Subtract 5 from both sides of the equation.

To write
as a fraction with a common denominator, multiply by 
· 
Combine
and
.

Combine the numerators over the common denominator.

Simplify the numerator.

Move the negative in front of the fraction.

x = 
-----------------------------------------------------------------------------------------------------
Find the y-intercepts.
To find the y-intercept(s), substitute in 0 for x and solve for y.

Add 0 and 5.

Multiply 4 by 5.

Add 6 to both sides of the equation.

Add 20 and 6.

y = (0, 26)