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2 years ago

Match the reasons with the statements. Given: 2 (x + 3) = 8 To Prove: x = 1

Mathematics

2 answers:

atroni [7]2 years ago

5 0

Match the reasons with the statements.

To Prove: x = 1

Given: 2 (x + 3) = 8

Step 1: 2(x + 3) = 8

Distributive postulate ( distribute 2 over x+3)

Step 2: 2x+6=8

Subtraction property of equality ( subtract 6 both sides )

Step 3: 2x = 8-6 = 2

Division property of equality ( divide both sides by 2)

Step 4: x=1

Now we make table which shows matching of two column

2(x + 3) = 8 ---------- Given

2x+6=8 ----------- Distributive Postulate

2x = 2 ---------- Subtraction property of equality

x=1 ---------- Division property of equality

julia-pushkina [17]2 years ago

3 0

1) 2(x+3)=8 would be the Given.

2)2x+6=8 would be the distributive postulate.

3)2x=2 would be the subtraction property of Equality.

4) x=1 would be the division property of Equality

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griffin ordered a pair of sneakers online. he had 16 credit that he applied toward the purchase, and then he used a credit card

Doss [256]

Answer: Griffin charge $79.854 to his credit card when he bought the sneakers.

Step-by-step explanation:

Griffin ordered a pair of sneakers online.

Value of each credit point = 1 cent

Then , value of 16 credit points = 16 cents = $0.16 [1$ = 100 cents]

Cost of shoes = Rs $80

Charge to credit card = (Cost of shoes) - (Value of 16 credit points)

= $(80-0.16)

= $79.84

Hence, Griffin charge $79.854 to his credit card when he bought the sneakers.

4 0

3 years ago

The original quantity is 20 and the new quantity is 15. Adam incorrectly says the percent decrease is about 14.29%. What is the

Yuki888 [10]

Answer: A. divided the difference of the two quantities by the sum of the two quantities.

===================================================

Explanation:

The difference of the quantities is 20-15 = 5

The sum of the quantities is 20+15 = 35

Dividing those results leads to 5/35 = 0.142857 which rounds to 0.1429

That converts to 14.29%

This is likely the path Adam took. This path is incorrect. The correct steps are shown below

---------------------

Difference = 20-15 = 5

Divide the difference over the original quantity

5/20 = 1/4 = 0.25 = 25%

We have a 25% decrease because the new quantity (15) is smaller than the old quantity (20)

----------------------

Here's another way to approach the problem

A = old value = 20

B = new value = 15

C = percent change

C = [ (B-A)/A ] * 100%

C = [ (15-20)/20 ] * 100%

C = (-5/20)*100%

C = -0.25*100%

C = -25%

The negative C value means we have a negative percent change, ie we have a percent decrease. So this is another way to get a 25% decrease.

4 0

2 years ago

Read 2 more answers

For positive acute angles A and B, it is known that tan A = 35/12 and sin B = 20/29. Find the value of sin(A - B ) in the simple

almond37 [142]

Answer:

$\displaystyle \sin(A-B)=\frac{495}{1073}$

Step-by-step explanation:

We are given that:

$\displaystyle \tan(A)=\frac{35}{12}\text{ and } \sin(B)=\frac{20}{29}$

Where both A and B are positive acute angles.

And we want to find he value of sin(A-B).

Using the first ratio, we can conclude that the opposite side is 35 and the adjacent side is 12.

Then by the Pythagorean Theorem, the hypotenuse is:

$h = \sqrt{35^2 + 12^2} =37$

Using the second ratio, we can likewise conclude that the opposite side is 20 and the hypotenuse is 29.

Then by the Pythagorean Theorem, the adjacent is:

$a=\sqrt{29^2-20^2}=21$

Therefore, we can conclude that:

So, for A, the adjacent is 12, opposite is 35, and the hypotenuse is 37.

For B, the adjacent is 21, opposite is 20, and the hypotenuse is 29.

We can rewrite sin(A-B) as:

$\sin(A-B)=\sin(A)\cos(B)-\cos(A)\sin(B)$

Using the above conclusions, this yields: (Note that since A and B are positive acute angles, all resulting ratios will be positive.)

$\displaystyle \sin(A-B)=\Big(\frac{35}{37}\Big)\Big(\frac{21}{29}\Big)-\Big(\frac{12}{37}\Big)\Big(\frac{20}{29}\Big)$

Evaluate:

$\displaystyle \sin(A-B)=\frac{735-240}{1073}=\frac{495}{1073}$

6 0

3 years ago

Which of the following relations is a function?

Agata [3.3K]

Answer:

Step-by-step explanation:

Because in D, there no x-value that are repeating in the list.

For example A, the value 8 and -8 are being repeated twice, which makes this relation not a fuction.

5 0

3 years ago

A recipe for lemonade calls for 1 cup of sugar and 7 cups of water.how much sugar is used per cup of water

ASHA 777 [7]

To solve this, you would divide 5 from 1, to get 1/5 cups of sugar

7 0

3 years ago