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mylen [45]
3 years ago
11

What is the unit rate

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
3 0
It will cost you 97 cents per bottle. All you need to do is divide 3.88 by 4.
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What is an equation of the line that passes through the points (-6, -2) and
den301095 [7]

Answer:

The equation of line is: \mathbf{4x-3y=-18}

Step-by-step explanation:

We need to find an equation of the line that passes through the points (-6, -2) and  (-3, 2)?

The equation of line in slope-intercept form is: y=mx+b

where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding Slope

Slope can be found using formula: Slope=\frac{y_2-y_1}{x_2-x_1}

We have x_1=-6,y_1=-2, x_2=-3, y_2=2

Putting values and finding slope

Slope=\frac{2-(-2)}{-3-(-6)}\\Slope=\frac{2+2}{-3+6} \\Slope=\frac{4}{3}

So, we get slope: m=\frac{4}{3}

Finding y-intercept

Using point (-6,-2) and slope m=\frac{4}{3} we can find y-intercept

y=mx+b\\-2=\frac{4}{3}(-6)+b\\-2=4(-2)+b\\-2=-8+b\\b=-2+8\\b=6

So, we get y-intercept b= 6

Equation of required line

The equation of required line having slope m=\frac{4}{3} and y-intercept b = 6 is

y=mx+b\\y=\frac{4}{3}x+6

Now transforming in fully reduced form:

y=\frac{4x+6*3}{3} \\y=\frac{4x+18}{3} \\3y=4x+18\\4x-3y=-18

So, the equation of line is: \mathbf{4x-3y=-18}

6 0
3 years ago
The shipping department must send out 50 cases of phones. Five stores will receive ten cases each. How many cases are left?
scZoUnD [109]
There are none left. 5 x 10 = 50
3 0
3 years ago
Read 2 more answers
Marta is solving the equation S = 2πrh + 2πr^2 for h. Which should be the result?
olga_2 [115]

Answer:

h = \frac{S}{2πr} - r


Step-by-step explanation:

The question requires you to make h the subject of the formula.

S = 2πrh + 2πr²

subtract 2πr² on both sides.

S - 2πr² = 2πrh - 2πr² -  2πr²

S - 2πr² = 2πrh

Dividing both sides by  2πr

(S -  2πr²)/2πr =  2πrh/ 2πr

h = \frac{S}{2πr} - r


7 0
3 years ago
Read 2 more answers
Solve 11 and 13 pleaseeeee
nata0808 [166]
32 degees, 43.8 degrees, 53.8, 63.8 Yes they are proportional
6 0
3 years ago
What is the simplified form of (4j2+6)+(2j2-3)
Galina-37 [17]

Answer: 6j^2+3

Step-by-step explanation:

In order to solve this exercise it is important to remember the multiplication of signs. Notice that:

(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-

In this case you have the following expression given in the exercise:

(4j^2+6)+(2j^2-3)

Where the variable is "j".

When you multiply signs, you get:

=4j^2+6+2j^2-3

Now you need to identify that like terms and then you need to add them (or combine them). So, applying this procedure you get that the simplified form of the expression is  the shown below:

=6j^2+3

As you can observe, you get a 2nd degree binomial.

5 0
4 years ago
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