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algol13
3 years ago
15

Cora makes a scarf with cloth rectangles and triangles. For every 5 pieces of cloth, 2 are rectangles. She needs 15 pieces of cl

oth to complete her scarf. Drag the pieces of cloth that Cora will use into the container to correctly complete her scarf.
Mathematics
1 answer:
PtichkaEL [24]3 years ago
6 0

Answer: There are 6 pieces of cloth are rectangles and 9 pieces of cloth are triangles.

Explanation:

Since we have given that

For every 5 pieces of cloth, 2 are rectangles

So, remaining piece will be of triangle so,

5-2=3

3 are triangles.

Ratio of rectangles to triangles is 2:3.

Now, she needs 15 pieces of cloth to complete her scarf,

So, Number of rectangles is needed is given by

\frac{2}{5}\times 15\\\\=2\times 3\\\\=6

Number of triangles is needed is given by

\frac{3}{5}\times 15\\\\=3\times 3\\\\=9

Hence, there are 6 pieces of cloth are rectangles and 9 pieces of cloth are triangles.

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4.2kg of oranges are £8.76. How much does 2kg cost
seropon [69]

Answer:

x = 4.17

Step-by-step explanation:

We can use a ratio to solve

4.2 k                  2 k

---------------- = ---------------

8.76                     x

Using cross products

4.2 * x = 2 * 8.76

4.2x =17.52

Divide by 4.2

x=4.17

8 0
3 years ago
Read 2 more answers
The airplane Li's family will be flying on can seat up to 149 passengers. If 96 passengers are currently on the plane,
Flauer [41]

Answer:

A) 96 + x ≤ 149

Step-by-step explanation:

The airplane can hold 149 passengers.

There are already 96 passengers on board.

They can add x additional passengers, as long as they bring the total to no more than 149.

The inequality is

96 + x ≤ 149

3 0
3 years ago
Read 2 more answers
A truck is used to transport gravel. The box on the truck is a rectangular prism 11 ft long, 7 ft wide and 4 ft high. The box do
chubhunter [2.5K]

Answer:

308 cubic feet

Step-by-step explanation:

The box on the truck has dimensions 11 ft by 7 ft by 4 ft.

The volume of the box is:

V = L * W * H

V = 11 * 7 * 4

V = 308 cubic feet

The truck can transport 308 cubic feet of gravel.

8 0
3 years ago
When 200 gallons of oil were removed from a tank, the volume of oil left in the tank was 3/7 of the tank's capacity. what was th
ki77a [65]

Answer:

Step-by-step explanation:

"When 200 gallons of oil were removed from a tank" algebraically looks like this:

V - 200.

"...the volume of oil left in the tank was 3/7 of the tank's capacity" algebraically looks like this:

3/7(V)

Therefore, the equation is

V - 200 = 3/7(V)

Begin by multiplying both sides by 7:

7(V - 200) = 3V and

7V - 1400 = 3V so

-1400 = -4V so

V = 350 gallons

That's if the volume of the oil in the tank was 3/7 of the tank's capacity.

For the other part of the problem, we set up the equation almost the same, except the 3/7 is a 1/2:

V - 200 = 1/2(V)

Multiplying both sides by 2 gives you

2(V - 200) = V and

2V - 400 = V so

-400 = -V so

V = 400

7 0
3 years ago
Casey has a job doing valet parking. Casey makes an hourly rate of $4.55 per hour plus tips. Last week Casey worked 26 hours and
qaws [65]
The answer is D. <span>$780.25 
</span>
In this particular case, you just need to find the difference between what Casey earn hourly with his total earning..

The hourly wage that Casey earned in 26 hours:
$ 4.55 x 26 = 118.3

The total amount that casey earned in 26 hours:
$898.55

So, the amount that Casey earned through tips:
$898.55 - $118.3 = $780.25 
7 0
3 years ago
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