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skad [1K]
3 years ago
9

What is 90y-10x-10 in simplest form

Mathematics
1 answer:
Alex Ar [27]3 years ago
3 0
90y - 10x - 10

First, find the greatest common factor (GCF)
10 is the largest number that divides evenly into 90y, -10x, and -10.
The GCF is 10.

Second, factor out the GCF.
Put the GCF as the first term
In parentheses, divide each term by the GCF
10 (\frac{90y}{10}  +  \frac{-10x}{10} -  \frac{10}{10} )

Third, simplify each term in the parentheses. / Your problem should look like: 10(9y - x - 1)

Answer: 10(9y - x - 1)

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Suppose lines EF and GH are reflected over the line Y equals X to form the lines JK and LM which statement would be true about t
katrin [286]

Answer:

A) JK and LM will be parallel to each other.

Step-by-step explanation:

On reflection on y=x line the x co-ordinate changes with y co-ordinate and y co-ordinate changes with x co-ordinate

(x,y)\rightarrow (y,x)

Points on line EF

(0,6) , (-5,-2)

On reflection of this line on y=x the new points we get for line JK are

(6,0),(-2,-5)

Points on line GH

(-4,9),(-9,1)

On reflection on y=x line the new points we get for line LM are

(9,-4),(1,-9)

Slope of line JK

m=\frac{y_2-y_1}{x2-x1}\\m=\frac{(-5)-0}{(-2)-6} \\m=\frac{-5}{-8}=\frac{5}{8}

Slope of line LM

m=\frac{y_2-y_1}{x2-x1}\\m=\frac{(-9)-(-4)}{1-9} \\m=\frac{-9+4}{-8}=\frac{-5}{-8}\\m=\frac{5}{8}

For two line to be parallel, their slopes will be same.

m_{JK} =\frac{5}{8} , m_{LM}=\frac{5}{8}

Since slopes of lines JK and LM are same therefore we can say that these are parallel to each other.

5 0
3 years ago
The volume of a cube is 27 cubic meters.<br> What is its surface area, in square meters?
stiks02 [169]

Step-by-step explanation:

the volume of a cube is

side³.

since the volume is 27 m³, the individual side lengths are then the cubic root of 27 = 3 m.

the surface area is 6 squares of 3×3 = 9m², so in total

9 × 6 = 54 m²

8 0
2 years ago
A store manager wants to determine how much to pay her employees. The number of hours the employees work is x, and the hourly wa
Ivanshal [37]

Answer:

<em>The employees will work for 1 hour, will earn $5 per hour and will be paid $5</em>

Step-by-step explanation:

<u>System of Equations</u>

The number of hours the employees work is x.

And the hourly wage that they are paid is y. The store manager is willing to pay the employees a wage given by the equation

10y-30x=20

The business owner states that the employees should be paid a wage given by the equation

6y+30x=60

Adding both equations we have:

16y = 80

Dividing by 16:

y = 80/16 = 5

Substituting into the first equation:

10*5-30x=20

Operating and simplifying:

50-30x=20

50 - 20 = 30x

30x = 30

x = 30/30 = 1

Thus, the employees will work for 1 hour, will earn $5 per hour and will be paid $5

6 0
2 years ago
Divide the sum of 3/8 and -5/12 by the reciprocal of 16/27 x(-15)/8
Travka [436]

Answer:

First find the sum of 3/8 and -5/12

That is

3/8 - 5/12

First find the common denominator

The common denominator is 24

We get

3/8 - 5/12 = 3(3) - 5(2) / 24

= 9 - 10 / 24

= - 1 / 24

Next find the product of 16/27 x(-15)/8

That's

16/27 × -15/8

= -10/9

Next reverse -10/9

Which is -9/10

Next we divide it by = -1 /24

so we get

-1/24 ÷ -9/10

Change the sign to (×) and reverse the second fraction

We get

-1/24 × -10/9

= 5 / 108

Hope this helps

4 0
3 years ago
Solve the following inequality. n/3&gt;1
lbvjy [14]
N/3>1
n>1*3
n>3    or    (3,+∞)

Solution: n>3    or    (3, +∞)
3 0
3 years ago
Read 2 more answers
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