Follow the steps to solve this equation.

3(2x + 6) – 4x = 2(5x – 2) + 6

1. Use the distributive property: 6x + 18 – 4x = 10x – 4 + 6

2. Combine like terms: 2x + 18 = 10x + 2

3. Use the subtraction property of equality: 18 = 8x + 2

4. Use the subtraction property of equality: 16 = 8x

5. Use the division property of equality:


= x

Hi!

The equation of the line is written in slope-intercept form (y=mx+b) where m stands for the slope.

In order to find the slope of the given line, let's just take a look at our equation.

Hint: what is the coefficient of x?

That's right, 5/4

Hence, the answer is

[tex]\boxed{\boxed{\bold{\frac{5}{4}}}}[/tex]

Hope everything is clear.

Let me know if you have any other questions; if so, please feel free to ask.

#LearningDoesn'tEnd

#LearningIsFun

[tex]\rule{200}{2}}[/tex]

Answer:

a.5/4

Step-by-step explanation:

y equals mx plus c, where m is the gradient(slope of line) & c is the constant

∴y equals (5/4)x-5,where 5/4 represents the "m" & -5 is the constant.

Therefore,5/4 is "m" which is the slope(gradient).

Answer:

-15

Step-by-step explanation:

9-(9-1*3)

9-8*3

9-24

-15

Answer:

(-3/4,-7/2)

Step-by-step explanation:

Answer:

2.1

Step-by-step explanation:

Answer:

D. Presence of charged particles

Step-by-step explanation:

Plasma consists of a medium of gas that has about the same amount of particles that are positively and negatively charged formed due to the ionization of the gaseous atoms forming ions that have ejected some orbital electrons as well as electrons that move in the same manner as gaseous particles within the medium.

Answer:

36 because 12 times 3 =36

Step-by-step explanation:

12 time 3 is 36

Answer:

164 square meters.

Step-by-step explanation:

This is a 12x15 rectangle minus the small rectangle near the bottom.

The small rectangle has dimensions (12-5-5) * 8.

Therefore, our answer is 12*15 - 2*8 = 164 square meters.

Step-by-step explanation:

10 pages in 5 hours.

our focus is on pages (how long for 20 pages).

so, if we don't see the ratio right away, let's norm the original relationship to 1 page :

10 pages in 5 hours

so,

1 page in 5/10 = 0.5 hours = 1/2 hours

and now : how long for 20 pages ?

1 × 20 pages in 1/2 × 20 hours

20 pages in 10 hours.

formally, we are dealing with a ratio, which is a fraction :

10 pages in 5 hours = 10/5

to keep the value of the fraction, in order to change one of the 2 values to a target value (like 10 pages to 20 pages in our case), we need to multiply the other with the same factor :

10/5 × 2/2 = 20/10

so, again, this tells us 20 pages in 10 hours.

Answer: B is the answer

Step-by-step explanation:

Answer:

95% of races will her finishing time be between 57 and 65 seconds.

Step-by-step explanation:

Mean=61 seconds

Standard deviation =2

Empirical rule says,

68% of data covered between mean±1 standard deviation

95% of data covered between mean ±2 standard deviation

99.7% of data covered between mean ± 3 standard deviation.

I'll upload the Empirical rule curve.

Because 57 is 61-2(2) and 65 is 61+2(2), so, 95% of data covered.

So, according to Empirical rule, 95% of races will her finishing time.

Answer:

Pretty sure it's 3.5 because...

Step-by-step explanation:

7 ÷ 2 = 3.5

Answer:

the answer is 8

Step-by-step explanation:

25/9 aka the third option

The cake mold I would recommend to a customer that wants to  buy a cake that serves 10-12 people is the 600 cubic inches size.

Multiplication is the process of determining the product of a set of numbers by carrying out a specialised mathematical operation. The sign that denotes multiplication is x.

The cake mold to be bought can be determined by multiplying the mold per serving by the maximum number of people the customer wants to serve.

12 x 50 = 600

To learn more about multiplication, please check: https://brainly.com/question/3385014

Answer:

[tex]60 \ \text{m}^{2}[/tex]

Step-by-step explanation:

We are given the base, which is 15 meters. When we increase the base, we will obtain the height, which is 8 meters. Now, let's substitute the base and the height in the formula to find the area of the triangle.

[tex]\rightarrow \dfrac{1}{2} \times 15 \times 8[/tex]

[tex]\rightarrow 15 \times 4[/tex]

[tex]\rightarrow 60 \ \text{m}^{2}[/tex]

Thus, the area of the triangle is [tex]\bold{60 \ \text{m}^{2}}[/tex].

Answer:

8

Step-by-step explanation:

8 *8=64

Answer:

X=8

Step-by-step explanation:

1. Just find the square root of 64, it is 8

2. why? because finding the square root is the opposite of using the 2nd power.

3. you got the answer, it is 8

you can confirm it by using the 2nd power on 8

Answer:

17 cents

Step-by-step explanation:

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

Answer:

Step-by-step explanation:

There are 5 numbers. You are going to draw 1 number.

There are 5 letters -- all different. You are going to draw 1 of them

The number of outcomes = 5 * 5 = 25

Answer: A

Step-by-step explanation:

You need to add 6 to the x coordinate and subtract 5 from the y coordinate.

Answer:

The answer would be (x + 6, y - 5)

Step-by-step explanation:

6 units to the right is +

6 units to the left is   -

5 units to the up is +

5 units to the down is -

it's answer is square metre because SI unit of area is square and in most of the case area of garden is given as metre

Answer:

question 3= C.

question 2= A.

question 1= seventy-two minus twelve, times less than 24 equals?

Step-by-step explanation:

smort mr clean 0-0

Answer:

B

Step-by-step explanation:

If you’re looking for the intersection it’s B.

Answer:

x=1

Explanation:

it is x=1 because if the point (-1,3) is reflected then the other point is (3,3) and so on

Answer:

  c.  29°

Step-by-step explanation:

The measure of the inscribed angle x is half the measure of subtended arc BC.

  x = 58°/2 = 29°

Answer:

1440 girls

Step-by-step explanation:

Answer:

X = 90°

Y = 45°

Z = 45°

Step-by-step explanation:

[tex] \frac{1}{2} ( \frac{90}{1} )[/tex]

[tex] \frac{90}{2} [/tex]

[tex]45[/tex]