Your aunt gives you a fish tank that holds 48 quarts of water. You can buy saltwater for the tank but only by the gallon. How many gallons of saltwater do you need to fill the tank?

Answers

Answer 1

Answer: 12, there are 4 quarts in a gallon, 48/12=4

Answer 2

Answer: 12 because 12 *4=48 4=quarts per gallon

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Round 598,500 to the nearest ten thousand. *

Answers

Answer:

600,000

Step-by-step explanation:

Hi, have a great day!

What value of m makes the equation true?[–6 + (–13)] + 8 = –6 + (m + 8)

m =

Answers

$[-6+(-13)]+8=-6+(m+8)\n\n(-6-13)+8=-6+m+8\n\n-19+8=(-6+8)+m\n\n-11=2+m\ \ \ |change\ sides\n\n2+m=-11\ \ \ \ |subtract\ 2\ from\ both\ sides\n\n\boxed{m=-13}\leftarrow your\ answer$

A dartboard shaped like a regular octagon has an apothem of 15 inches. The smaller octagon, which is also regular, has an apothem of 8 inches. What is the probability of a randomly thrown dart landing within the shaded region, given that the dart lands inside the larger octagon? Round the answer to the nearest hundredth. (Hint: An apothem is the perpendicular distance from the center of a regular polygon to its side.) A. 0.14 B. 0.15 C. 0.27 D. 0.28

Answers

Assuming that the person throwing the dart is not aiming for any particular part of the dartboard and that all darts thrown at the board don't miss the board, then we can make use of the area to get the probability
So,
P = A1 / (A1 + A2)
The formula for the area of regular octagon is
A = (1/2) (a) (8) (2a tan 180/8)
A = 8 a² tan 180/8
Where a is the apothem. Substituting, the answer would be
C.
0.27

Answer:

.27

Step-by-step explanation:

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Round the following numbers to 2 decimal places 0.273
1.595
6.473
2.571
0.425
44.5564
82.3643
325.1741

Answers

Before I give you the answers, there is a simple rule to observe when rounding a number to two decimal places. If the number in the third decimal place is less than five, then the number in the second decimal place stays the same. If the number in the third decimal place is five or greater than five, the number in the second decimal place is incremented by one. In our case the above numbers are rounded up as follows:

0.273 is rounded up to 0.27
1.595 is rounded up to 1.60
6.473 is rounded up to 6.47
2.571 is rounded up to 2.57
0.425 is rounded up to 0.43
44.5564 is rounded up to 44.56
82.3643 is rounded up to 82.36
325.1741 is rounded up to 325.17

Factor the expression 4x + 32. Explain each step you take in the process.

Answers

The factor form of the expression 4x + 32 is 4(x + 8)

The given expression is:

4x + 32

Find the Highest Common Factor of 4x and 32

The factors of 4x are 1, 2, 4, x, 2x, and 4x

The factors of 32 are 1, 2, 4, 8, 16, and 32

The common factors of 4x and 32 = 1, 2, 4

The Highest common factor of 4x and 32 = 4

Factor out 4 from 4x + 32

4x + 32 = 4(x + 32)

Learn more here: brainly.com/question/9223267

Answer:

The GCF of 4x and 32 is 4, so the first step is to divide each term by 4. The quotients are x and 8. The factored expression will be 4(x + 8).

Step-by-step explanation:

sample on edge.

A bike is on sale for $135. It has been marked down 20%. What was the original price of the bike?

Answers

Answer:

$168.75

Step-by-step explanation:

if it's narked down by 20% then $135 is 80% of the original price

80 = 135

100 = x

80x = 100×135

x = $168.75

A bike is on sale for $135. The original price of bike is 135

Solution:

Given that bike is on sale for $ 135

The mark down price is 20 %

We need to find the original price of the bike

Hence we can say that,

Selling price of bike = 135

Mark down price = 20%

Original price of bike = ?

The cost price is given as:

$Original price = selling price * (100)/(100 - markup percentage)$

By substituting the values we get,

$original price = 135 * (100)/(100-20)\n\n= 135 * (100)/(80)\n\n= 168.75$

Hence the original price of bike is $ 168.75

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