Which proportion can be used to show ac and df have equivalent slopes

Naddik [55]

The longer side is at first 7cm and the shorter is 2cm.

So since 7cm(the longer side)×5=35cm then the shorter side(2cm) multiplied by 5 should give you the right answer.

8 0

4 years ago

Callie has 2 cans of orange paint with 4.5 gallons in each can. She also has 910 of a gallon of black paint. Her brother took 0.

Solnce55 [7]

Answer:

The total amount of paint left is 1.6 gallon of paint remaining

Where she has:

1.5 gallon of orange paint left and 0.1 gallon of black paint left.

Step-by-step explanation:

Step 1

Callie has 2 cans of orange paint with 4.5 gallons in each can.

The total gallons of orange paint that she has is given as:

1 can = 4.5 gallons

2 cans = x gallons

Cross Multiply

x = 4.5 gallons × 2 cans

x = 9 gallons of orange paint.

She also has 9/10 of a gallon of black paint.

Her brother took 0.8 gallon of the black paint

and 3.75 gallons from each of the cans of orange paint.

Since there are 2 cans, the total gallons of orange paint that her brother took = 2 × 3.75 gallons

= 7.5 gallons

Step 2

For orange paint

The amount of orange paint that she has left = 9 gallons - 7.5 gallons

= 1.5 gallons of orange paint left.

For black paint

We are told that: She also has 9/10 of a gallon of black paint.

Converting to decimal

= 0.9 gallon of black paint.

Her brother took 0.8 gallon of the black paint

The total gallon of black paint that she has left =

0.9 gallon - 0.8 gallon

= 0.1 gallon of black paint left.

The total amount of paint Callie has remaining after her brother took the stated amounts is:

1.5 gallon of orange paint + 0.1 gallon of black paint = 1.6 gallon of paint remaining

4 0

3 years ago

18 - 3 exponent 2 dived by 3

BartSMP [9]

Answer:

the answer is 15

Step-by-step explanation:

can i get the crown

6 0

3 years ago

Read 2 more answers

Micah places a mirror on the ground 24 feet from the base of a tree. He walks

irina [24]

The height of tree is 8 feet

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

Given, Micah places a mirror on the ground 24 feet from the base of a tree

At that point, Micah's eyes are 6 feet above the ground

And he is 9 feet from the image in the mirror.

To find : height of tree = ?

Let "n" be the height of tree

From the question, we can see there is a directly proportional relationship between heights and distances.

Proportional relationships are relationships between two variables where their ratios are equivalent.

$\frac{\text { height of micah eyes above ground }}{\text { distance of micah from mirror }}=\frac{\text { height of tree above the ground }}{\text { distance of tree from mirror }}$

$\begin{array}{l}{\frac{6 \text { feet }}{9 \text { feet }}=\frac{n \text { feet }}{24 \text { feet }}} \\\\ {\frac{6}{9}=\frac{n}{24}} \\\\ {\text { n }=\frac{1}{3} \times 24} \\\\ {\text { n }=8}\end{array}$

Hence, the height of the tree is 8 feet

6 0

3 years ago

The length of a rectangle is 4 cm less than twice its width. The perimeter of the

myrzilka [38]

Step-by-step explanation:

Let width be x

according to question

length = 2x-4

perimeter = 58

now,

perimeter = 2(length + width)

58 = 2(x+2x-4)

58 = 6x-8

6x = 66

x = 11

putting value of x in length

2x-4

= 2 X 11 -5

= 18

hence the dimensions of the rectangle is 18 and 11

4 0

3 years ago