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Bingel [31]
3 years ago
6

Gabriel is a door to door vacuum salesman. His weekly salary, S, is $300 plus $45 for each vacuum he sells. This can be written

as S 300 45v, where v is the number of vacuums sold. If Gabriel earns $1695 for a week's work, how many vacuums did he sell?
Mathematics
1 answer:
lions [1.4K]3 years ago
8 0

Answer:

Gabriel sold 31 vacuums.

Step-by-step explanation:

S = 300 + 45v

1695 = 300 + 45v

1395 = 45v

v = 31

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Expand the binomial<br> <img src="https://tex.z-dn.net/?f=%28x-%5Cfrac%7B2%7D%7B5%7D%29%5E%7B2%7D" id="TexFormula1" title="(x-\f
kkurt [141]

Answer:

(x- \frac{2}{5})^{2} = x^2 -\frac{4}{5}x + \frac{4}{25}

Step-by-step explanation:

You have two methods to expand this binomial.

Method 1  

If you have the expression:

(x- \frac{2}{5})^{2}

You can write the expression it in the following way:

(x-\frac{2}{5})^{2}=(x-\frac{2}{5})(x-\frac{2}{5})

Then, apply the distributive property:

(x-\frac{2}{5})(x-\frac{2}{5}) = x^2 -\frac{2}{5}x -\frac{2}{5}x+ (\frac{2}{5})\frac{2}{5}

Simplify the expression:

(x-\frac{2}{5})^2= x^2 -\frac{4}{5}x+ (\frac{4}{25})

---------------------------------------------------------------------------------------

Method 2

For any expression of the form:

(a-b)^2

Its expanded form will be:

(a-b)^2= a^2 -2ab + b^2

If

a = x

b =\frac{2}{5}

(x- \frac{2}{5})^{2} = x^2 - 2x\frac{2}{5} + (\frac{2}{5})^2

(x- \frac{2}{5})^{2} = x^2 -\frac{4}{5}x + \frac{4}{25}

3 0
3 years ago
The library is located 1.8 miles west of Callie’s house. The grocery store is located 2.4 miles south of the library. What is th
Verizon [17]

____________________________________________________

Answer:

Your answer would be 3 miles.

____________________________________________________

Explanation and work:

To find the answer for this question, we would use the numbers we know that was provided in the question and use it to get us the answer.

The equation we would use in this type of question is the Pythagorean Theorem.

Pythagorean Theorem:

a² + b² = c²

When you draw out the different locations, it would end up looking like a triangle since you trying to find the diagonal line from the grocery store to the house. In the triangle, it would be the hypotenuse. I will put a picture below.

Lets start solving:

1.8 would be plugged into "a"

2.4 will be plugged into "b"

(1.8)² + (2.4)² = c²

 ↓          ↓        ↓

3.24  + 5.76 =  c²

          ↓

          9  = c²

              ↓

      √9 = √c²

             ↓

         3  = c

3 miles would be your FINAL answer.

____________________________________________________

4 0
3 years ago
19,000 for 2 months money earns 5%
kumpel [21]

Answer:

950 dollars

Step-by-step explanation:

3 0
3 years ago
In a right triangle, the measure of one angles is 43. sketch a diagram to represent this situation. what is the measure of the o
Pepsi [2]
So a right triangle is 90° and we have a 45° angle every triangle=180° so 90+43=133
180-133=47° the other angle is 47°
6 0
3 years ago
Postal Packages shipped a total of 120 packages last week, and 24 of them were shipped internationally. What percent of the pack
dsp73

Answer:20% OF THEM WERE SHIPPED INTERNATIONALLY IT IS THE BLUE MODEL NOT THE PINK ONE

Step-by-step explanation:

3 0
3 years ago
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