MATHEMATICS MIDDLE SCHOOL

Use a proportion to convert 28 quarts to gallons.

Answers

Answer 1

Answer:

28 quarts is equivalent to 7 gallons.

To convert quarts to gallons, we can set up a proportion using the conversion equivalency: 4 quarts = 1 gallon.

Let's set up the proportion:

28 quarts / x gallons = 4 quarts / 1 gallon

Cross-multiplying, we have:

28 quarts × 1 gallon = 4 quarts × x gallons

28 gallons = 4 quarts × x

To solve for x, divide both sides of the equation by 4 quarts:

28 gallons / 4 quarts = x

Simplifying, we get:

7 gallons = x

Therefore, 28 quarts is equivalent to 7 gallons.

To learn more on Conversion factor click:

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Answer 2

Answer:

Answer:

28 quarts = 7 gallons

Step-by-step explanation:

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Use the distributive property to rewrite the expression and solve.8 63 = 8 + 8 3 =

Answers

8 * 63 = 8 * ? + 8 * 3 = ?

Okay, so we have 8 * 63, and it is broken down to 8 * ? + 8 * 3.

63 - 3 = 60, so our number should be 60.

8 * 63 = 8 * 60 + 8 * 3 = ?

To find the last number, we can just multiply 8 * 63, which is 504.

8 * 63 = 8 * 60 + 8 * 3 = 504

A+63 b+52c equal if a=6, b=51 and c=1/4

Answers

I did both things cas you left a space in between 63 b
A + 63 + b + 52c or A + 63b + 52c
6 + 63 +51+ 52 * 1/4 6 + 63 * 51 + 52 * 1/4
6 + 63 + 51 + 13.5 6 + 63 * 51 + 13.5
69 + 51 + 13.5 69 * 51 +13.5
120 + 13.5 3519 + 13.5
133.5 0r 133 1/2 3532.5 0r 3532 1/2
WELCOME :/

What is the measures of each interior angle of a regular hexagon?

Answers

Answer:

120 degrees

Step-by-step explanation:

Answer:

120 degree deoderants

Step-by-step explanation:

its common sense duh

Let f(x)=e* and g(x)= X+6. What are the domain and range of (gºf)(x)?

Answers

Answer:

Domain: Set of All Real Numbers. (-∞, ∞)

Range: (0, ∞)

Step-by-step explanation:

$f(x)=e^(x)\ng(x)=x+6$

We need to evaluate (gof)(x). (gof)(x) means the composition of function g(x) and f(x). In order to find (gof)(x) replace every occurrence of x in g(x) with the expression of f(x) as shown below:

$(gof)(x)=g(f(x))\n\n =g(e^(x))\n\n =e^(x)+6$

We have to find the domain and range of this composite function.

Domain:

The expression $e^(x)+6$ is defined for all Real Numbers. It never gets undefined for any value of x. Hence the Domain is set of All Real Numbers.

Range:

The range of the parent exponential function $e^(x)$ is from 0 to positive infinity. The expression $e^(x)+6$ can be related to $e^(x)$ as a vertical shifted function by 6 units upward. As a result the range will also be shifted up. So the range of the composite function will be from 6 to positive infinity. In interval notation this would be expressed as: (0, ∞)

Find the difference between 400 and 273

Answers

To find the difference between,

$400$
and
$273$
means what number should we add to 273 to obtain 400.

To find that number, we subtract 273 from 400.

To do that we need to set up the numbers as below to make the calculation easy for us.

$\: \: \: \: \: \: \: \: 10 \n \: \: \: \: 39 \n \: \: \: \: 400 \n ( - 273)/( \: \: \: \: 127)$

We do the subtraction from right to left.

The first digits are 0 and 3. Since 0 is less than 3, we 'borrow' from the next digit.

But sad for us, the next digit to the right is also zero. So we borrow from the from the first non-zero digit which is 4.

Borrowing 1 from 4 makes the hundred digit reduce to 3. Since we are operating in base 10, the 1 we borrow has a value of 10. Adding that 10 to the zero at the immediate right of 4 makes it 10. Now we can borrow one from this "10". That makes it become 9. That is why you are seeing '39' at the top of the '40'. Now our right mist zero has a value of 10(written at the topmost right).

We subtract 3 from 10 now to get 7.

Then 7 from 9 to get 2.

and 2 from 3 to get 1.

Hence

The difference between,
400 and 273 is 127.

The difference between 400 and 273 is 127

The given numbers are,

400 and 273

The difference between 400 and 273 is calculated by subtracting the smaller number from the larger number. So,

400 - 273 = 127.

Now take a creative approach to solve it,

Imagine you have a basket of 400 apples, and a friend takes away 273 apples. How many apples do you have left?

Simply subtract:

400 - 273 = 127.

Or simply

4 0 0

- 2 7 3