What is the property, transformation, or simplification used in each step of this problem? x-7=34 x-7+7=34+7 x+0=34+7 x=34+7 x=41

Answers

Answer 1

Answer: Well, from the first row to the second you added +7 on both sides. On the other rows you merely did some arithmetic.
Usually one gets from the first line to the last one directly :)

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3. Mauro has 140 ft of rope. He will cut it into two pieces so that the length of the longer piece is 3 times the length of the shorter piece. What will the length of the longer piece be?4. Maggie has only dimes and quarters in her purse. She has 27 coins with a total value of $4.05 in her purse. How many dimes does Maggie have in her purse?

Question 5.5. Choose the correct answer.

Kevin wants to make a mixture that is 50% lemon juice and 50% lime juice. How much 100% lemon juice should he add to a juice that is 40% lemon juice and 60% lime juice to make 6 gal of the 50% lemon/50% lime juice mixture?
(Points : 1)
0.5 gal
1 gal
2 gal
2.5 gal

Answers

3. 140= 3x +x
140= 4x
140/4 = 4x/4
35=x
3x= 35 * 3
3x= 105
The length is 105 ft

4. Number of dimes= d and number of quarters=q
d+q= 27
10d + 25q= 405
d= 27-q
10(27 -q) +25 q= 405
270 -10q + 25q= 405
270 + 15q= 405
15q= 135
q=9
d + q= 27
d +9=27
d=18
She has 18 dimes

5. 6 gal with a 50-50 split means 3 gallons each. The 60-40 has 3 gallons of lime. If 3 gal is 60%, the volume is 5 gal. We need to add 1 gallon

3- 105 ft

4- 21 dimes

5- 1.5 gallons

I just took the test.

Hope this helps someone in the future.

What is the value of x that makes the given equation true? 2(x−8)=x+5x

Answers

First simplify the right side by combining like terms.

Since both terms contain an x, you can add them together.

So x + 5x simplifies to 6x.

So our equation now reads 2(x - 8) = 6x.

Solving from here, distribute the 2 through the

parentheses on the left side of the equation.

2(x) is 2x and 2(-8) is -16.

So we have 2x - 16 = 6x.

Now move the 2x to the right side by subtracting 2x from both sides.

This gives us -16 = 4x.

Now just divide both sides by 4 to get -4 = x.

Answer:

x = -4

Step-by-step explanation:

To find the value of x that makes a certain equation true means to solve the equation. You do this by rearranging the equation to make x the subject.

So,

2(x-8) = x+5x

2x - 16 = 6x

-16 = 6x-2x

4x = -16

x = -4

Hope this helps.

How do u work out 11x=24+8x

Answers

Answer:

x = 8

Step-by-step explanation:

First: Subtract 8x from both sides

You will be left with 3x = 24

then divide 3 from both sodes

you will be left with x=8

I have two-thirds of a square and I want to divide it by one-half. How many pieces would I have?

Answers

Answer:2 pieces or 1 1/3

Step-by-step explanation:

cause if 2/3 was 1 piece and you divide by 1/2 you have double what you had making you have 2 pieces

Final answer:

Dividing two-thirds by one-half results in one and one-third pieces.

Explanation:

To divide two-thirds of a square by one-half, you can multiply the fractions. This is a division of fractions problem. You have two-thirds (2/3) of a square and you want to divide it by one-half (1/2). In division of fractions, you multiply by the reciprocal of the divisor. So, you would change the division to a multiplication and flip the second fraction (1/2 becomes 2/1). Therefore, (2/3) divided by (1/2) becomes (2/3) * (2/1). When we multiply these fractions, we get (4/3) or one and one-third. So, you have one and one-third pieces.