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3 years ago

What is 3x + 7 = 22

Mathematics

2 answers:

ASHA 777 [7]3 years ago

6 0

Answer: The value of x is = 5.

Step-by-step explanation:

So we are given the equation:

3x + 7 = 22

We just have to isolate 3x and move 7 to the other side:

3x = 22 -7

3x = 15

Now divide:

x = 15/3

x = 5

There you go!

ddd [48]3 years ago

6 0

Answer:

Step-by-step explanation:

22-7=15 and 15 divided by 3 =5

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3 years ago

Find an equation of the line through these points (15,2.2) (5,1.6). Write answer in a slope-intercept form

nadya68 [22]

Answer:

$y=\frac{\displaystyle 3}{\displaystyle 50}x+\frac{\displaystyle 13}{\displaystyle 10}$

Step-by-step explanation:

Hi there!

Slope-intercept form: $y=mx+b$ where $m$ is the slope and $b$ is the y-intercept (the value of y when x is 0)

1) Determine the slope (m)

$m=\frac{\displaystyle y_2-y_1}{\displaystyle x_2-x_1}$ where two given points are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in the given points (15,2.2) and (5,1.6):

$m=\frac{\displaystyle 1.6-2.2}{\displaystyle 5-15}\\\\m=\frac{\displaystyle -0.6}{\displaystyle -10}\\\\m=\frac{\displaystyle 0.6}{\displaystyle 10}\\\\m=\frac{\displaystyle 0.3}{\displaystyle 5}\\\\m=\frac{\displaystyle 3}{\displaystyle 50}$

Therefore, the slope of the line is $\frac{\displaystyle 3}{\displaystyle 50}$ . Plug this into $y=mx+b$ :

$y=\frac{\displaystyle 3}{\displaystyle 50}x+b$

2) Determine the y-intercept (b)

$y=\frac{\displaystyle 3}{\displaystyle 50}x+b$

Plug in a given point and solve for b:

$1.6=\frac{\displaystyle 3}{\displaystyle 50}(5)+b\\\\1.6=\frac{\displaystyle 3}{\displaystyle 10}+b\\\\1.6-\frac{\displaystyle 3}{\displaystyle 10}=\frac{\displaystyle 3}{\displaystyle 10}+b-\frac{\displaystyle 3}{\displaystyle 10}\\\\\frac{\displaystyle 13}{\displaystyle 10}=b$

Therefore, the y-intercept is $\frac{\displaystyle 13}{\displaystyle 10}$ . Plug this back into $y=\frac{\displaystyle 3}{\displaystyle 50}x+b$ :

$y=\frac{\displaystyle 3}{\displaystyle 50}x+\frac{\displaystyle 13}{\displaystyle 10}$

I hope this helps!

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3 years ago

Identify the prime numbers in the following list 5 7 12 11

Elis [28]

Answer:

Step-by-step explanation:

A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.

A prime number has only two divisors: 1 and itself.

Therefore, the prime numbers are:

5, 7 and 11.

12 is not a prime because 12 = 2 × 6 = 3 × 4.

12 has six divisors: 1, 2, 3, 4, 6 and 12.

7 0

3 years ago

If the side length of a cube is 40 what is the surface area

Elodia [21]

A cube has 6 sides.

A cube is all made up of squares.

So, we need to find the area of one cube and multiply that by 6.

Length * width= area

40*40= 1,600

Multiply that by 6.

1,600*6= 9600

Whatever the unit is after that: in, feet, cm, m, etc- put that after the number with ^2.

9,600 (the unit) ^2

I hope this helps!
~kaikers

7 0

3 years ago

What is 3x + 7 = 22​

What is 3x + 7 = 22