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2 years ago

9

A family worked all day building a sandcastle on the beach. As they were building the castle they recorded the number of pails o

f sand that
were used. In all, the creation used 20 pails of sand. Each pail was cylindrical in shape, had a radius of 5" and was 10" in height. How many
cubic inches of sand were used in building the family's castle? (let pi = 3.14)

1 answer:

LiRa [457]2 years ago

5 0

Answer:

15708 cubic inches

Step-by-step explanation:

The formula for a cylandir is V=πr^2h, substitute in your known factors and multiply by 20 for the 20 pails used and you get your answer.

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one tamk of gasoline has an octane rating of 140 and another tank of gasoline has an octane rating of 80. To obtain a mixture of

Zarrin [17]

Answer:

20 gallons were used from the tank with the octane rating of 80.

Step-by-step explanation:

Given : One tank of gasoline has an octane rating of 140 and another tank of gasoline has an octane rating of 80. To obtain a mixture of 60 gallons with an octane rating of 120.

To find : How many gallons should be used from the tank with the octane rating of 80?

Solution : Let x be the volume of gas whose octane rating is 140 and

y be the volume of gas whose octane rating is 80.

Then, we form the equation as:

(1) $x\times140 + y\times80 = 60\times120$

$140x+80y = 7200$

or $7x+4y = 360$ .........[3]

(2) $x + y = 60$

Now multiply equation (2) by 4

$4x + 4y = 240$ ...........[4]

Subtract (4) from (3)

$7x+4y-4x-4y=360-240$

$3x=120$

$x=\frac{120}{3}$

$x=40$

Put x in equation [4] we get,

$4(40) + 4y = 240$

$160 + 4y = 240$

$4y = 80$

$y=\frac{80}{4}$

$y=20$

Therefore, x=40 and y=20

So, 20 gallons were used from the tank with the octane rating of 80.

7 0

3 years ago

The circumference of a circle is 22 cm.

valkas [14]

$\bf \: Circumference \: of \: a \: circle = 2\pi \: r$

$\implies22 = 2 \times \dfrac{22}{7} r$

$\implies22 = \dfrac{44}{7} \times r$

$\implies \: r = \dfrac{22 \times 7}{44}$

$\implies \boxed{ r = \dfrac{7}{2} }$

Now,

$\bf \: Area \: of \: circle = \pi {r}^{2}$

$\rightarrow \: \frac{22}{7} \times ({ \frac{7}{2}) }^{2}$

$\rightarrow \frac{22}{ \cancel7} \times \frac{ \cancel{49}}{4}$

$\rightarrow \: 22 \times \frac{7}{4}$

$\rightarrow \: 11 \times \frac{7}{2}$

$\rightarrow \frac{77}{2}$

$\rightarrow \: 38.5 \: cm {}^{2}$

Area of rectangle = 38.5 cm².

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3 years ago

Giselle bought a dress for $35 and three t-shirts. She used a coupon for $2.50 off each t-shirt. The total cost can be modeled b

aniked [119]

It’s represents the coupon for each shirt being taken on the price of each shirt

3 0

3 years ago

Help me please I need this done quick

Anna11 [10]

Answer:
1058.4 in^2

Step-by-step explanation:
Find the surface areas of the rectangular prism and the triangular prisms separately.
Triangular: S = (1/2)lP+B, where l is slant height, P perimeter, and B base area.
14(4)= 56 perimeter of base
13 slant height
B = 14x14 = 196
put together:
S = (1/2)(13 x 56) + 196
S = 560 in^2

Now the rectangular prism
S = 2lw + 2lh + 2wh, where l is length, h height, w width. (delete the first 2lw since they share one side/they're combined shapes.
S = 2(14x8.9) + 2(14x8.9)
S = 498.4 in^2

Add them together: 498.4 + 560 = 1058.4 in^2

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2 years ago

Which shows the numbers 1/10,0.9,3/10 in order from least to greatest

jonny [76]

1/10, 3/10, 0.9
Hope this Helps

6 0

3 years ago

Read 2 more answers