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2 years ago

13

Cheatan wants to make a necklace with 50 beads. He knows that 12 beads take up 5 inches of string, but the store only sells stri

ng by the centimeter. How many centimeters should he buy
?

1 answer:

Karolina [17]2 years ago

6 0

Answer:

50.8

Step-by-step explanation:

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During a catered lunch, an average of 4 cups of tea are poured per minute. The lunch will last 2 hours. How many gallons of tea

Greeley [361]

Answer:

Step-by-step explanation:

4 cups of tea per minute.......lunch lasts 2 hrs.....there are 120 minutes in 2 hrs...so in 2 hrs, there will be (4 * 120) = 480 cups

and if there is 16 cups in 1 gallon, the caterer needs to bring :

480 / 16 = 30 gallons <==

6 0

3 years ago

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The area of the right triangle shown is 30 ft squared. The segment XY has a length of 5 ft. Find the length of the hypotenuse.

alexgriva [62]

Answer:

Hypotenuse is 13 ft.

Step-by-step explanation:

A=(1/2)bh

30=(1/2)(5)(h)

30=2.5h

h=12 so ZY = 12ft

Then

$a^{2} +b^{2} =c^{2} \\5^{2} +12^{2} =c^{2} \\25+144=c^{2} \\169=c^{2}\\13=c$

8 0

2 years ago

I built a storage shed in the shape of a rectangular box on a square base. The material that I used for the base cost $4 per squ

Dmitrij [34]

Answer:

$V = \frac{450L - 6 L^{3} }{10}$

Step-by-step explanation:

The volume of a cuboid can be determined simply by the formula: V= LWH

(where: L is length, H is height and W is width).

In this particular case the base is a square, which means the length and width are equal. Hence we can modify the equation of volume:

$V = L^{2} H$

Now we need to find the value of H in terms of L. For this we can develop the equation for cost incurred in building the storage shed. We find the area of each side of the cuboid, and then we multiply it by cost per square feet to find the total cost incurred; as shown below:

<u>Area:</u>

Base: $L$ × $L = L^{2}$

Roof: $L$ × $L = L^{2}$

Side: $4 H$ × $L = 4HL$ (we have considered all four sides)

<u>Cost:</u>

Base: 4 $L^{2}$

Roof: 2 $L^{2}$

Side: $2.50 * 4HL = 10 HL$

Total cost:

4 $L^{2}$ + 2 $L^{2}$ + 10 $HL$ = 450

We simplify this equation further:

6 $L^2$ + 10<em>HL </em>= 450

10HL = 450 - 6 $L^2$

$H = \frac{450- 6 L^2}{10L}$

We now have the value of H, which we can substitute in the formula of Volume we deduced earlier:

substituting $H = \frac{450-6L}{10L}$ in $V = L^{2} H$ :

$V = L^2$ × $\frac{450 - 6L }{10L}$

Simplifying it further:

$V = L$ × $\frac{450 - 6L}{10}$

$V= \frac{450L - 6L^3}{10}$ is the final answer.

3 0

3 years ago

I think u guys know what to do !!!

kotykmax [81]

Answer:

B, C

Step-by-step explanation:

7 - x = 18

A.

7 - 2x = 18 - x

126 - 14x = 324 - 18x

We are nowhere near the solution.

B.

-x = 11

x = -11

This works.

C.

7 = x + 18

-11 = x

This works.

D.

25 - x = 36

-25 + x = -36

This does not help.

E.

7 = x + 18

0 = x + 11

We still do not have a solution.

Answer: B, C

4 0

2 years ago

Rectangular prism A measures 6 inches by 4 inches by 5 inches. Rectangular prism B's dimensions are twice those of prism A. Find

harina [27]

The volume of <span>Rectangular prism A is 120 inches and the volume of rectangular prism is 960 inches. the volume of prism b is 8 times the size of prism A</span>

3 0

3 years ago

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