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3 years ago

A box has dimensions of 19in long, 20.4 inches wide, and 6ins high. What is the volume of the box?

Mathematics

1 answer:

sukhopar [10]3 years ago

5 0

To find the volume, multiply length, width, and height together

19 x 20.4 x 6 = 2325.6

2325.6 in³ is your answer

hope this helps

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Mrs. Moore is making packages of art supplies for an art project. Each package contains sheets of white paper and blue paper. Th

Romashka [77]

Answer:

The maximum number of packages that can be made are 12 packages

The number of sheets of blue paper and white paper per package = 7 and 8 sheets respectively

Step-by-step explanation:

The number of sheets of blue paper available to Mrs. Moore = 84 sheets

The number of sheets of white paper available to Mrs. Moore = 96 sheets

The number of blue paper in each package = The number of white paper in each package

Therefore, the maximum number of packages that can be made is given by the Highest Common Factor, HCF, of 84 and 96 which is found as follows;

The prime factors of 84 = 2² × 3 × 7, from which we have;

Factors of 84 = 4 × 3 × 7 = 12 × 7

The prime factors of 96 = 2⁵ × 3, from which we have;

Factors of 96 = 4 × 8 × 3 = 12 × 8

∴ The HCF of 84 and 96 = 12

The maximum number of packages that can be made = Twelve packages

The number of sheets of blue paper in each package = Seven

The number of sheets of white paper in each package = Eight.

7 0

2 years ago

The sun produces 3.9 ⋅ 10 to the 33th power ergs of radiant energy per second. How many ergs of radiant energy does the sun prod

arlik [135]

So the sun produces 3.9x10³³/ second

Using this ratio (3.9x10³³/ second) we can use the porpotions to calculate time taken (T) to produce 1.55x10⁷.

$\frac{3.9(10^3) ergs}{1 second} = \frac{1.55(10^7)ergs}{T}$

Then isolate T and find the time

$\frac{T3.9(10^3)ergs}{1 second} = {1.55(10^7)ergs$
$T3.9(10^3)ergs = ({1.55(10^7)ergs)seconds$
$T = \frac{(1.55(10^7)ergs)seconds}{3.9(10^3)ergs}$
$T = \frac{(1.55(10^7)seconds}{3.9(10^3)}$
$T = \frac{1.55}{3.9}(10^4)seconds$
$T = 0.397(10^4)seconds$
$T = 3.97(10^-^1)(10^4)seconds$
$T = 3.97(10^3)seconds$

Thus it took 3.97x10³ seconds for 1.55x10⁷. of ergs to be produced
Hope that helped and if it did, a Brainliest rating would be much appreciated

6 0

3 years ago

Write an expression equivalent to (7x + 5) - (3x - 5)

KiRa [710]

Answer:

= 2(2x + 5)

Step-by-step explanation:

Given that:

= (7x + 5) - (3x - 5)

By simplifying

"-" sign before bracket will alter the inner signs

= 7x + 5 - 3x + 5

Adding like terms

= 4x + 10

By taking 2 common we get:

= 2(2x + 5)

i hope it will help you!

6 0

3 years ago

Marian went shopping and bought clothes for $66.17 and books for $44.98. She then had a meal at the mall for $20.15. Which is th

scZoUnD [109]

Answer:

Either 130 or 131 would be acceptable.

Step-by-step explanation:

When we estimate, we do not use exact values.

66.17 is close to 66

44.98 is close to 45

20.15 is close to 20

Add the estimates together: 66+ 45+ 20 = 131

We could also estimate 66.17 to 65 which would give us an estimate of 130

6 0

3 years ago

Read 2 more answers

A gasoline service station offers 20 cents off the regular price per gallon every tuesday. what equation relates the discounted

Leni [432]

R - 0.20 < r would be your answer

3 0

3 years ago