Which of the following is the best prediction if Jackson were to survey the 600 students in his grade?

Stephen makes wooden shelves for his room he starts with a board that is 20 feet long.Stephen wants to make the shelves 3/4 foot

jek_recluse [69]

The number of shelves stephen can make is approximately 27

<h3><u>Solution:</u></h3>

Given that Stephen makes wooden shelves for his room

Stephen wants to make the shelves 3/4 foot long

He starts with a board that is 20 feet long

To find: number of shelves he can make

So the number of shelves stephen can make can make is found out by dividing 20 feet long board by 3/4 foot long

$\text {number of shelves }=\frac{\text { total length of board stephen has }}{\text { length of each board }}$

$\text {number of shelves }=\frac{20}{3 / 4}=\frac{20}{0.75}=26.6$

So the number of shelves stephen can make is approximately 27

3 0

3 years ago

A bike rental shop rents out bicycles with a flat rate of $6 and then charges $2 per hour a person rents out the bike. Identify

DIA [1.3K]

Answer:

Independent Variable: Number of hours

Dependent Variable: Cost

Equation: C = 2x + 6

Step-by-step explanation:

The independent variable (x) is the variable that is manipulated. In this instance, that would be the number of hours a person rents out the bike.

The dependent variable (C) is the variable that is manipulated depending on the value of the independent variable. In this instance, that would be the total cost for renting the bike.

The total equation would be C = 2x + 6. The coefficient, 2, represents the charge of $2 per hour and the 6 represents the starting charge of $6.

6 0

3 years ago

Compute the following volume and surface area.

Sidana [21]

Isssssssssssssssssssssssssssss: 192...............................................that is the correct ansewer aaaaa.........A

5 0

3 years ago

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A sheet of cardboard 12 inches square is used to make an open box by cutting out squares of equal size from the four corners and

GrogVix [38]

Answer:

$x=6+3\sqrt{2}$ is the size of the square

Step-by-step explanation:

Let the side of the square cut from the cardboard be “x”

Size of the square base = $12 -2x$ , height of the box = x

Volume of square box = Area * height = $(12-2x)^2 * x$

Differentiating the above equation and equating it to zero, we get –

d/dx $((12-2x)^2 * x)$

d/dx ${(144 + 4x^2 -48x)*x}$ = d/dx $(144x + 4x^3 -48x^2)$

d/dx $(144x + 4x^3 -48x^2) = 0$

$144+8x^2-96X= 0\\18 +X^2-12X = 0$

On solving above equation, we get –

$x=6+3\sqrt{2} \\ x=6-3\sqrt{2}$

5 0

3 years ago

The formula for the area of a triangle is A==bh, where b is the length of the base and h is the height.

zimovet [89]

Answer: Height is 5 units.

Step-by-step explanation:

Alright, lets get started.

The area of the triangle is $A=\frac{1}{2} \times b \times h$

The area is given as 30

The base is given as 12

Plugging the values in formula

$30=\frac{1}{2} \times 12\times h$

$30=6\times h$

Dividing 6 in both sides

$\frac{30}{6}=\frac{6\times h}{6}$

$5=h$

$h=5$

Hence the height of the triangle is 5 units.........Answer

6 0

3 years ago

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