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sergejj [24]
2 years ago
14

The volume of the cube is 8 cubic inches. Find its side.

Mathematics
1 answer:
deff fn [24]2 years ago
3 0

Answer:

a = 2

Step-by-step explanation:

Given:

  • Volume (V) = 8

To find:

  • The side (edge)

Steps:

a = V^1/3 = 8^1/3 = 2

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The local pizza parlor is filling an order of 40 pizzas for a school party. The circle graph shows the percentages of the differ
marysya [2.9K]

Answer:

C 10 pizzas

Step-by-step explanation:

We know that there are 40 total pizzas

We also know the percentage of each pizza, except mushroom.

By definition, the total percent of everything is 100%

If we add up what we know...we get the following:

10% Pineapple + 45% Pepperoni + 20% Ham equals 75%

10 + 45 = 55

55 + 20 = 75

If all the pizzas other than Mushroom equals 75% of the pizza toppings, then Mushroom must be 25% of the pizzas

100% - 75% = 25%

25% of 40 pizzas is 0.25 x 40 which equals 10

25% is also the same as 1/4 or one quarter...so 40 divided by 4 is also 10.

So the answer is C. 10 pizzas

Another was to approach this would be to figure out how many of each other pizzas there are.

10% Pineapple is 0.10 x 40 = 4 Pineapple pizzas

45% Pepperoni is 0.45 x 40 = 18 Pepperoni pizzas

20% Ham is 0.20 x 40 = 8 Ham pizzas

if you add 4 + 18 + 8 you get 30 pizzas

40 total pizzas minus 30 non mushroom pizzas leaves 10 mushroom pizzas

5 0
3 years ago
The area of a rectangular window is 7426 cm
soldi70 [24.7K]

hi <3

area = length x width

substitute the values in:

7426 = length x 79

rearrange to get the answer:

length = 94 cm

hope this helps :)

7 0
2 years ago
You travel 10.7 miles (1 way) for work 5 days a week. On weekends you travel 5.8 miles. The last time you filled your tank you p
Kamila [148]

Answer:

<u>1. </u>0.0731 miles per gallon

2.  $967.46

Step-by-step explanation:

The <u>I way</u><u> </u>travel for 5 days to work will cover: 10.7  miles.

A two travel to work and back home will be : 10.7* 2 =21.4 miles

On weekends miles covered = 5.8 miles

Last time the tank was filled with = 17.2 gallons of gas

The Trip A meter read = 389.30 ----this is the average fuel mileage

This means the trip consumed : 389.30 - 17.2 = 372.1 gallons of gas

Total miles covered are : 21.4 + 5.8 = 27.2 miles

1. Miles per gallon for the car will be;

  372.1 gallons of gas = 27.2 miles

          1 gallon of gas = ?

{27.2 *1} / 372.1 =  <u>0.0731 miles per gallon</u>

2. Cost of  gas per week will be ;

   In the United States :

   1 gallon of gasoline = $2.60

     372.1 gallons of gas = ? $2.60 * 372.1 = $967.46

3 0
3 years ago
bakery made 20 pies, half were pumpkin, a fourth were cherry, the rest were apple. how many were apple
Anastasy [175]
5 of the pies were apple
8 0
3 years ago
Read 2 more answers
If you are given a3=2 a5=16, find a100.
ra1l [238]

I suppose a_n denotes the n-th term of some sequence, and we're given the 3rd and 5th terms a_3=2 and a_5=16. On this information alone, it's impossible to determine the 100th term a_{100} because there are infinitely many sequences where 2 and 16 are the 3rd and 5th terms.

To get around that, I'll offer two plausible solutions based on different assumptions. So bear in mind that this is not a complete answer, and indeed may not even be applicable.

• Assumption 1: the sequence is arithmetic (a.k.a. linear)

In this case, consecutive terms <u>d</u>iffer by a constant d, or

a_n = a_{n-1} + d

By this relation,

a_{n-1} = a_{n-2} + d

and by substitution,

a_n = (a_{n-2} + d) + d = a_{n-2} + 2d

We can continue in this fashion to get

a_n = a_{n-3} + 3d

a_n = a_{n-4} + 4d

and so on, down to writing the n-th term in terms of the first as

a_n = a_1 + (n-1)d

Now, with the given known values, we have

a_3 = a_1 + 2d = 2

a_5 = a_1 + 4d = 16

Eliminate a_1 to solve for d :

(a_1 + 4d) - (a_1 + 2d) = 16 - 2 \implies 2d = 14 \implies d = 7

Find the first term a_1 :

a_1 + 2\times7 = 2 \implies a_1 = 2 - 14 = -12

Then the 100th term in the sequence is

a_{100} = a_1 + 99d = -12 + 99\times7 = \boxed{681}

• Assumption 2: the sequence is geometric

In this case, the <u>r</u>atio of consecutive terms is a constant r such that

a_n = r a_{n-1}

We can solve for a_n in terms of a_1 like we did in the arithmetic case.

a_{n-1} = ra_{n-2} \implies a_n = r\left(ra_{n-2}\right) = r^2 a_{n-2}

and so on down to

a_n = r^{n-1} a_1

Now,

a_3 = r^2 a_1 = 2

a_5 = r^4 a_1 = 16

Eliminate a_1 and solve for r by dividing

\dfrac{a_5}{a_3} = \dfrac{r^4a_1}{r^2a_1} = \dfrac{16}2 \implies r^2 = 8 \implies r = 2\sqrt2

Solve for a_1 :

r^2 a_1 = 8a_1 = 2 \implies a_1 = \dfrac14

Then the 100th term is

a_{100} = \dfrac{(2\sqrt2)^{99}}4 = \boxed{\dfrac{\sqrt{8^{99}}}4}

The arithmetic case seems more likely since the final answer is a simple integer, but that's just my opinion...

3 0
2 years ago
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