All categories

3 years ago

7w + w - 15 = 17 solve the equation. Check the solution

Mathematics

1 answer:

Rasek [7]3 years ago

7 0

Answer:

Step-by-step explanation:

7w+w-15=17

8w=17+15 add like terms

8w=32 divide

w=32/8=4

now check

7*4+4-15=17

28+4-15=17

17=17

You might be interested in

Help me plz it’s hard for me lol

slava [35]

Answer:

Step-by-step explanation:

2 *3 sqare root 3 * 12

Solving gives:

6 sqare root 36.

sqare root 36 = 6

2 * 6 * 3

So our answer is 36.

3 0

3 years ago

A candle is 10 in. tall after burning for 2 hours. After 3 hours, it is 8 1/2 in. tall. a. Write a linear equation to model the

GrogVix [38]

The candle was 13 inches tall when it was first lit. It burns at a speed of 1.5 in. every hour. After burning for 6 hours it will be 4 inches tall.

3 0

3 years ago

Which shows one way to determine the factors of 4x3 + x2 – 8x – 2 by grouping?

lara31 [8.8K]

Group first 2 and group last 2 and find factors and undistribute

(4x^3+x^2)+(-8x-2)
(x^2)(4x+1)+(-2)(4x+1)
x^2(4x+1)-2(4x+1)
answer is first one

6 0

3 years ago

Read 2 more answers

A company makes wax candles in the shape of a solid sphere. Suppose each candle has a diameter of 15 cm. If

jekas [21]

We have been given that a company makes wax candles in the shape of a solid sphere. Each candle has a diameter of 15 cm. We are asked to find the number of candles that company can make from 70,650 cubic cm of wax.

To solve our given problem, we will divide total volume of wax by volume of one candle.

Volume of each candle will be equal to volume of sphere.

$V=\frac{4}{3}\pi r^3$ , where r represents radius of sphere.

We know that radius is half the diameter, so radius of each candle will be $\frac{15}{2}=7.5$ cm.

$\text{Volume of one candle}=\frac{4}{3}\cdot 3.14\cdot (7.5\text{ cm})^3$

$\text{Volume of one candle}=\frac{4}{3}\cdot 3.14\cdot 421.875\text{ cm}^3$

$\text{Volume of one candle}=1766.25\text{ cm}^3$

Now we will divide 70,650 cubic cm of wax by volume of one candle.

$\text{Number of candles}=\frac{70,650\text{ cm}^3}{1766.25\text{ cm}^3}$

$\text{Number of candles}=\frac{70,650}{1766.25}$

$\text{Number of candles}=40$

Therefore, 40 candles can be made from 70,650 cubic cm of wax.

8 0

3 years ago

What is an equation of the line that passes through the points (-3,-1) and

NARA [144]

The equation of line that passes through the points (-3,-1) and

(-6,3) is:

$y=-\frac{4}{3}x-5$

Step-by-step explanation:

Given points are:

(-3,-1) =(x1,y1)

(-6,3)=(x2,y2)

The slope-intercept form of equation of line is:

$y=mx+b$

We have to find the slope first

$m=\frac{y_2-y_1}{x_2-x_1}\\=\frac{3-(-1)}{-6-(-3)}\\=\frac{3+1}{-6+3}\\=\frac{4}{-3}$

Putting the value of slope in the slope intercept form

$y=-\frac{4}{3}x+b$

To find the value of b, putting the point (-3,-1) in the equation

$-1=-\frac{4}{3}(-3)+b\\-1= 4+b\\b=-4-1\\b=-5$

Putting the values of b and m

$y=-\frac{4}{3}x-5$

The equation of line that passes through the points (-3,-1) and

(-6,3) is:

$y=-\frac{4}{3}x-5$

Keywords: Equation of line, slope intercept form

Learn more about equation of line at:

#LearnwithBrainly

6 0

3 years ago