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kiruha [24]
2 years ago
5

20 POINTS

Mathematics
1 answer:
noname [10]2 years ago
4 0

Answer:

EXAMPLE

Pete bought a shirt on sale for $

18

18, which is one-half the original price. What was the original price of the shirt?

Solution:

Step 1. Read the problem. Make sure you understand all the words and ideas. You may need to read the problem two or more times. If there are words you don’t understand, look them up in a dictionary or on the Internet.

In this problem, do you understand what is being discussed? Do you understand every word?

Step 2. Identify what you are looking for. It’s hard to find something if you are not sure what it is! Read the problem again and look for words that tell you what you are looking for!

In this problem, the words “what was the original price of the shirt” tell you what you are looking for: the original price of the shirt.

Step 3. Name what you are looking for. Choose a variable to represent that quantity. You can use any letter for the variable, but it may help to choose one that helps you remember what it represents.

Let

p

=

p= the original price of the shirt

Step 4. Translate into an equation. It may help to first restate the problem in one sentence, with all the important information. Then translate the sentence into an equation.

The top line reads:

Step 5. Solve the equation using good algebra techniques. Even if you know the answer right away, using algebra will better prepare you to solve problems that do not have obvious answers.

Write the equation.

18

=

1

2

p

18=12p

Multiply both sides by 2.

2

⋅

18

=

2

⋅

1

2

p

2⋅18=2⋅1

Step 3. Name what you are looking for. Choose a variable to represent that quantity. You can use any letter for the variable, but it may help to choose one that helps you remember what it represents.

Let

p

=

p= the original price of the shirt

Step 4. Translate into an equation. It may help to first restate the problem in one sentence, with all the important information. Then translate the sentence into an equation.

The top line reads:

Step 5. Solve the equation using good algebra techniques. Even if you know the answer right away, using algebra will better prepare you to solve problems that do not have obvious answers.

Write the equation.

18

=

1

2

p

18=12p

Multiply both sides by 2.

2

⋅

18

=

2

⋅

1

2

p

2⋅18=2⋅12p

Simplify.

36

=

p

36=pStep 6. Check the answer in the problem and make sure it makes sense.

We found that

p

=

36

p=36, which means the original price was

$36

$36. Does

$36

$36 make sense in the problem? Yes, because

18

18 is one-half of

36

36, and the shirt was on sale at half the original price.Step 7. Answer the question with a complete sentence.

The problem asked “What was the original price of the shirt?” The answer to the question is: “The original price of the shirt was

$36

$36.”

If this were a homework exercise, our work might look like this:

The top reads,

TRY IT

Step-by-step explanation:

<em>#CarryOnLearning</em>

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Add 34+(−212) using the number line. Select the location on the number line to plot the sum.
Korvikt [17]

Answer:

Answer is explained below in the explanation section.

Step-by-step explanation:

Solution:

For this question, we need to have a number line, we can not make the number line here. As it will be very long. Instead, I have attached a number line from -11 to +11 for your understanding and explained it below. Please refer to the attachment below for the number line.

Number Line:

A number line is a line which contains all the numbers from negative infinity to positive infinity divided by a single number zero. It has two sides, left hand side and right hand side. A side left to zero contains all the negative numbers and a side right to 0 contains, all the positive numbers.

So,

We are asked to add 34 in (-212), we will get 178 but with the negative sign, and it will lie on the left hand side of the number line.

SO,

34 + (-212) = 34 - 212 = -178

Hence,

Our sum which is 178 will lie on the left hand side of the number line.

4 0
3 years ago
Bryson has 14 raspberry scones and 21 strawberry scones. He wants to make as many identical bags of scones as possible . Each ba
Kipish [7]

Answer:

7 bags

Step-by-step explanation:

We solve using Greatest Common Factor Method

We have:

14 raspberry scones and 21 strawberry scones

We find the factors of 14 and 21

The factors of 14 are: 1, 2, 7, 14

The factors of 21 are: 1, 3, 7, 21

Then the greatest common factor is 7.

Therefore, the greatest number of bags Bryson can fill is 7 bags

8 0
2 years ago
A recipe for lemonade calls for 6 cups of lemonade for every 24 cups water. Which equation can be used to find x, the percent of
Gelneren [198K]

Answer:

To make 6 cups, you will need 2 cups of lemon and 4 cups of water....6 total

TWO of the six are lemon    2/6 x 100 = 33.33% Lemon    the rest is water  100-33.33= 66.67% water

OR

FOUR out of the SIX are water    4/6 x 100 = 66.67% Water

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Which of the following functions is graphed below?
balandron [24]

Answer:A

Step-by-step explanation:

7 0
3 years ago
The route to an ancient pyramid is 79 miles long.
Nostrana [21]

The route to an ancient pyramid is 79 miles long; if 20 miles is travelled each day for 3 days, the distance travelled in the fourth day would be 19 miles.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Let the distance travelled in the first day be 20 miles. If the same time was travelled for 3 days, hence:

3(20) + x = 79

x = 19 miles

The route to an ancient pyramid is 79 miles long; if 20 miles is travelled each day for 3 days, the distance travelled in the fourth day would be 19 miles.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

8 0
1 year ago
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