All categories

2 years ago

What is the reason for each strip on the solution of the equation?

Mathematics

1 answer:

Pani-rosa [81]2 years ago

7 0

Step 1: Given

Step 2: Distributive Property

Step 3: Addition Property of Equality

Step 4: Division Property of Equality

Step-by-step explanation:

We need to match the reason with the correct step in the equation.

Equation:

Given:

$2x = -4(x-3)$

Applying Distributive property a(b+c)=ab+ac

$2x=-4x+12$

Now, Applying addition property of equality:

Adding +4x on both sides

$2x+4x=-4x+12+4x\\6x=12$

Now, Applying Division property of Equality:

Divide both sides by 6:

$\frac{6x}{6}=\frac{12}{6}\\x=2$

So, Answer will be:

Step 1: Given

Step 2: Distributive Property

Step 3: Addition Property of Equality

Step 4: Division Property of Equality

Keywords: Solving Equations

Learn more about Solving Equations at:

#learnwithBrainly

You might be interested in

Find the x-intercepts, use the zero product property, r(r+7)=0

UkoKoshka [18]

9514 1404 393

Answer:

r = 0

r = -7

Step-by-step explanation:

There is no x in the equation, hence there are no x-intercepts.

If we assume you want the values of r that satisfy the equation, the zero product property tells you they will be the values that make the factors zero.

The factors are r and (r+7).

The factor r is zero when ...

r = 0

The factor (r+7) is zero when ...

r +7 = 0 ⇒ r = -7

The "x-intercepts" are r=0 and r=-7.

4 0

2 years ago

Please help need answers

bogdanovich [222]

see explanation below

(1) $\frac{1}{5}$ × $\frac{2}{2}$ = $\frac{2}{10}$ = 0.2

(2) $\frac{6}{25}$ × $\frac{4}{4}$ = $\frac{24}{100}$ = 0.24

(3) 2 $\frac{3}{4}$ = 2 + $\frac{75}{100}$ = 2.75

(4) 3 $\frac{9}{10}$ = 3 + 0.9 = 3.9

(5) 1.25 = 1 $\frac{1}{4}$ = $\frac{5}{4}$

(6) 3.29 = 3 $\frac{29}{100}$ = $\frac{329}{100}$

(7) 0.65 = $\frac{65}{100}$ = $\frac{13}{20}$ in simplest form

(8) 5.6 = 5 $\frac{6}{10}$ = 5 $\frac{3}{5}$ = $\frac{28}{5}$

(9) he is incorrect

$\frac{3}{5}$ × $\frac{20}{20}$ = $\frac{60}{100}$ = 0.6 ≠ 3.5

7 0

3 years ago

A=1/2bh. A=200ft. H=10. What is b

Svetllana [295]

Answer:

B= $\frac{2A}{H}$

Step-by-step explanation:

If you noticed, A= $\frac{1}{2}$ BH is the formula for finding the area for a triangle. Your goal is to get B by it's self. Your first step will be to clear of the fraction first, so you will multiply both sides by 2. 2(A)=2( $\frac{1}{2}$ BH). On the left, you have 2×A= On the right side, you have 2( $\frac{1}{2}$ BH), but since you have a number in the equation, you will only use 2× $\frac{1}{2}$ . To solve 2× $\frac{1}{2}$ , you will cnacel out both 2's and you have 1. 1×BH will still equal BH, so you are now left will B×H.

(Your new equation looks like this by the way). 2A=BH

Since you need to get B by its self, the way to clear the H away from the B is by dividing. You will now divide the B and H aswell as 2A and H. (It will look like this) $\frac{2A}{H} = \frac{BxH}{H}$ . (Again when you have the same number or letter, you cross it out. When you divide, you won't change anything on the left side, and all you have to do on the right id to cross out the H next to the B and cross out the H on the bottom of the equation). You should be left with $\frac{2A}{H}$ = B. Now you can turn it around for your final answer. B= $\frac{2A}{H}$ .

Please let me know if i helped, how I did, and if you have any questions.

3 0

2 years ago

A random number generator is selecting numbers in the range 1 through 50. What is the probability that the random number generat

kati45 [8]

Answer:

7,14,21,28,35,42,49 are all dividible by 7. That are 7 Numbers. However we are looking for All the Numbers that are not a multiple of 7.

So 50-7=43.

There are 43 Numbers which are not a multiple of 7.

So 43/50=0.86

The probability is 0.86 or a 86% chance that the generator will select a Number which is not a multiple of 7.

7 0

2 years ago

Read 2 more answers

What is 603 3/7 as a decimal

lyudmila [28]

Answer:

86.571428571

Step-by-step explanation:

4 0

2 years ago