3. What is an equation of the line through (4, 2)

Ibrahim has some building blocks that are all cubes of the same size. He uses three of the blocks to make a pile with a height o

MArishka [77]

Answer:

72.5

Step-by-step explanation:

one block = 43.5 / 3 = 14.5

five blocks = 5 * 14.5 = 72.5 (ans)

4 0

3 years ago

Anthony is looking to build a rectangular

labwork [276]

7.5

5+5=10
25-10=15
15/2=7.5

Answer: 7.5 feet

5 0

3 years ago

A drawer contain pens , 14 blue pens and 8 black pens , 14 silver paper clips , and 16 white paper clips . If you randomly selec

vichka [17]

Step-by-step explanation:

Total pens = 22

Total clips = 30

Probability of red pen = 0

Because there are no red pens

Probability of white clip = 16/30 = 8/15

4 0

3 years ago

A pack of folders has a length of 5 inches, a width of 12 inches, and a height of 1 inch. The pack of folders will be shipped in

777dan777 [17]

Answer:

A) Each pack of folders has a volume of 60 cubic inches.

B) The box has a volume of about 720 cubic inches

D) If the box help 20 packs of folders, it would have a volume of about 1,200 cubic inches.

Step-by-step explanation:

Verify each statement

A) Each pack of folders has a volume of 60 cubic inches.

The statement is True

Because

The volume of each pack of folders is equal to

$V=(5)(12)(1)=60\ in^{3}$

B) The box has a volume of about 720 cubic inches

The statement is True

Because

The volume of the box is equal to the volume of one pack of folders multiplied by 12

so

$V=(12)60=720\ in^{3}$

C) If the box held 15 packs of folders, it would have a volume of about 1,200 cubic inches

The statement is False

Because

Applying proportion

$\frac{12}{720}\frac{packs}{in^{3}}=\frac{15}{x}\frac{packs}{in^{3}}\\ \\x=720*15/12\\ \\x=900\ in^{3}$

$900\ in^{3}\neq 1,200\ in^{3}$

D) If the box help 20 packs of folders, it would have a volume of about 1,200 cubic inches.

The statement is True

Because

Applying proportion

$\frac{12}{720}\frac{packs}{in^{3}}=\frac{20}{x}\frac{packs}{in^{3}}\\ \\x=720*20/12\\ \\x=1,200\ in^{3}$

$1,200\ in^{3}= 1,200\ in^{3}$

E) Each pack of folders has a volume of 24 cubic inches.

The statement is False

Because

The volume of each pack of folders is equal to

$V=(5)(12)(1)=60\ in^{3}$

7 0

3 years ago

The perimeter of the triangle below is 97 cm.

Sloan [31]

Answer:

The length of EF = x = 18 cm

Option A is correct.

Step-by-step explanation:

Ware given perimeter of triangle = 97 cm

We need to find length of EF = x = ?

The length of EG = x+7

The length of EF = x

The length of GF = 3x

The formula used is: $Periemter \ of \ triangle= Sum \ of \ all \ sides \ of \ triangle$

Putting values and finding x i.e length of EF

$Periemter \ of \ triangle= Sum \ of \ all \ sides \ of \ triangle\\97=x+7+x+3x\\97-7=5x\\5x=90\\x=\frac{90}{5}\\x=18 \ cm$

So, value of x=18 cm

The length of EF = x = 18 cm

Option A is correct.

4 0

3 years ago