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aniked [119]
3 years ago
8

Drag a statement or reason to each box to complete the proof.

Mathematics
2 answers:
natka813 [3]3 years ago
7 0

See the attached picture:

nika2105 [10]3 years ago
4 0

Answer:

Given an equation: 5(x+6)=x+38

Distributive Property of equality tells us that the multiplication over addition can be used when you multiply a number by a sum.

i.e a\cdot(b+c)=a\cdot b+a\cdot c

Apply distributive property on term 5(x+6) i.e,

5(x+6)=5\cdot x+5\cdot 6 =5x+30

Then, the equation become;

5x+30=x+38

Subtraction Property of equality states that you subtract the same number from both sides of an equation

Subtract 30 from both sides of an equation:

5x+30-30=x+38-30

On simplifying we get;

5x=x+8

Now, subtract x from side of the equation:

5x-x=x+8-x

Simplifying:

4x=8

Division Property of equality tells us that divide the same number from both side of an equation:

Divide 4 on both sides of an equation;

\frac{4x}{4} =\frac{8}{4}

Simplifying we get;

x=2





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If x=2 y=4 a=3 b=6 and c=2 find the value of
Molodets [167]

Answer:

I didnt know but i worked it out and searched it up and i got this

Step-by-step explanation:

(2a+4c-5b+2a+5b-4c)

5 0
2 years ago
a red die is tossed and then a green die is tossed. what is the probability that the red die shows a six and the green die shows
vaieri [72.5K]
Assume that each of the 6 numbers has an equal probability of showing up for each die.

The probability of obtaining a six from the red die is 1/6, or
P(6 from the red die) = 1/6.
Similarly,
P(6 from the green die) = 1/6.

The tossing of the red die, followed by the tossing of the green die are independent events. Therefore
P(6 from the red die AND 6 from the green die) = (1/6)*(1/6) = 1/36.

Answer: 1/36

5 0
3 years ago
2/3 divided into 4 groups, what fraction represents the answer to this question?
kondaur [170]
2/3 ÷ 4 = 2/3 * 1/4 = 2/12 = 1/6
5 0
3 years ago
Read 2 more answers
What is the sum of 20x^2-10x-30
ivann1987 [24]

Answer:

The sum of the roots is 0.5

Step-by-step explanation:

<u><em>The correct question is</em></u>

What is the sum of the roots of 20x^2-10x-30

we know that

In a quadratic equation of the form

ax^{2} +bx+c=0

The sum of the roots is equal to

-\frac{b} {a}

in this problem we have

20x^{2} -10x-30=0  

so

a=20\\b=-10\\c=-30

substitute

-\frac{(-10)} {20}=0.5

<u><em>Verify</em></u>

Find the roots of the quadratic equation

The formula to solve a quadratic equation is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

a=20\\b=-10\\c=-30

substitute

x=\frac{-(-10)\pm\sqrt{-10^{2}-4(20)(-30)}} {2(20)}

x=\frac{10\pm\sqrt{2,500}} {40}

x=\frac{10\pm50} {40}

x=\frac{10+50} {40}=1.5

x=\frac{10-50} {40}=-1

The roots are x=-1 and x=1.5

The sum of the roots are

-1+1.5=0.5 ----> is ok

5 0
3 years ago
12.5 percent of what number is 24
irina [24]

24 : 12.5/100 = 24 * 100/12.5 = 192;
3 0
3 years ago
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