MATHEMATICS MIDDLE SCHOOL

1 gallon minus 1 quart, 1 pint, and 1 ounce

Answers

Answer 1
Answer:

Answer: 79 ounces = 2 quarts and 15 ounces.

Explanation:

1) The question is: 1 gallon - (1 quart + 1 pint + 1 ounce)

2) To add and subtract those amounts you have to convert all to one same unit.

3) Since the least unit is ounce, I will convert gallon, quart and pint to ounces.

4) Conversion factors:

1 gallon = 4 quart

1 quart = 2 pints

1 pint = 16 ounces

5) Conversions:

i) 1 gallon × 4 quart / gallon × 2 pint / quart × 16 ounce / pint = 128 ounces

ii) 1 quart × 2 pint / quart × 16 ounce / pint = 32 ounces

iii) 1 pint × 16 ounce / pint = 16ounces

4) Subtract:

1 gallon - (1 quart + 1 pint + 1 ounce) = 128 ounces - (32 ounces + 16 ounces + 1 ounce) = 128 ounces - 49 ounces = 79 ounces ← answer

You can convert it to a mixed number in this way:

79 ounces × 1 quart / 32 ounces = 2. 46875 quarts

0.46875 quarts × 32 ounces / quart = 15 ounces

Then, 79 ounces = 2 quarts and 15 ounces.
Answer 2
Answer: 16 ounces = 1 pint
2 pints = 1 quart
4 quarts = 1 gallon

1 gallon - 1 quart = 3 quarts
3 quarts - 1 pint = 2 quarts and 1 pint
2 quarts and 1 pint - 1 ounce = 2 quarts and 15 ounces. 

Hoped this helped!! :D

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B(n)=4-6(n-1) find the fourth term

Answers

Answer:

b(4) = -14

Step-by-step explanation:

b(n)=4-6(n-1)

let n=4

b(4) = 4 - 6(4-1)

b(4) = 4-6*3

b(4) = 4-18

b(4) = -14

(6h)^8/(6h)^6. can anyone help?​

Answers

Answer:

h^2

Step-by-step explanation:

=6h^8/6h^6

Factor out h

=6h^2/6

=h^2

Suppose v varies directly as g, and v=36 when g=4. Find v when g=11.

Answers

Answer:

v=99

Step-by-step explanation:

We have been given that that v varies directly as g.

We can represent this information in an equation as:

v=kg

First of all, we will find constant of variation (k) by substituting v=36 and g=4 in our given equation.

36=k\cdot 4

(36)/(4)=(k\cdot 4)/(4)

9=k

So our equation would be v=9g.

Now, we will substitute  g=11 in the given equation:

v=9* 11

v=99

Therefore, the value of v is 99.
For a variable to vary directly to another is telling you to set up a proportion

v/g = v/g

36/4 = v/11

4v = 396

v = 99

Which is equivalent to 3x/x+5 - x-5/x

Answers

Answer:

B. (2x^2+25)/(x(x+5))

Step-by-step explanation:

x((3x)/(x+5))-(x+5)((x-5)/(x))

= (3x^2)/(x(x+5)) - ((x-5)(x+5))/(x(x+5)) = (3x^2-(x-5)(x+5))/(x(x+5))

= (3x^2-(x^2-25))/(x(x+5))

= (2x^2+25)/(x(x+5))

Explain how can you use the Associative Property to evaluate (7*50)*4.

Answers

The associative property is defined as follows: (a*b)*c = a*(b*c), that is, ... How can you use the Commutative property to find 5 x 4? Commutative property ... Which multiplication properties help evaluate 77 x 25 x 4? Distributive. Unless it's 77 x ...

The Associative Property of Mulitplication states that you can solve the expression by switching the group order. Since the current group is (7*50), we can change the group to (50*4).

From this: (7*50)*4

To This: 7*(50*4)

Hope this helps! Please correct me if I have made any mistakes!

What's is the area of the figure below

Answers

I believe it’s 15 square units
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