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3 years ago

-24-8x=12; 1+5/9y=-7/8x

Mathematics

1 answer:

umka2103 [35]3 years ago

6 0

X=-9/2
y=-711/80

1.solve for x
2.substitute -9/2 for x on the second equation
3.solve for y

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A clothing store salesman had $5212 in total sales last month. He made $175 in commision. What is the commision as a percent of

Elis [28]

Divide the amount of commission made by the total sale, then multiply the decimal answer by 100 for the percent:

175 / 5212 = 0.03357

0.03357 * 100 = 3.357%

Round the answer as needed.

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3 years ago

0.00045−2.5⋅10 −5 = what is the answer i been up all day

Mama L [17]

If I’m getting this right the equation is: 0.00045 - 2.5 x 10 - 5? The dot in between 2.5 and 10 indicates a multiplication sign

So...

0.00045 - (2.5 x 10) - 5
0.00045 - 25 - 5
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2 years ago

What is the value of x in this equation 3(2x-5)-4x=-11

GaryK [48]

Answer:

x=13

Step-by-step explanation:

6x-15-4x=11

2x-15=11

2x=26

x=13

3 0

2 years ago

A rectangle has a length 6 more than it's width if the width is decreased by 2 and the length decreased by 4 the resulting has a

Rashid [163]

Answer:

Length of original rectangle: 11 units.

$\frac{\text{Area of original rectangle}}{\text{Area of new rectangle}}=\frac{55}{21}$

$\text{Perimeter of new rectangle}=20$

Step-by-step explanation:

Let x represent width of the original rectangle.

We have been given that a rectangle has a length 6 more than it's width. S the length of the original rectangle would be $x+6$ .

We have been given that when the width is decreased by 2 and the length decreased by 4 the resulting has an area of 21 square units.

The width of new rectangle would be $x-2$ .

The length of new rectangle would be $x+6-4=x+2$ .

The area of new rectangle would be $(x+2)(x-2)$ .

Now we will equate area of new rectangle with 21 and solve for x as:

$(x+2)(x-2)=21$

Applying difference of squares, we will get:

$x^2-2^2=21$

$x^2-4=21$

$x^2-4+4=21+4$

$x^2=25$

Since width cannot be negative, so we will take positive square root of both sides.

$\sqrt{x^2}=\sqrt{25}$

$x=5$

Therefore, the width of original rectangle is 5 units.

Length of the original rectangle would be $x+6\Rightarrow x+5=11$ .

Therefore, the length of original rectangle is 11 units.

$\text{Area of original rectangle}=5\times 11$

$\text{Area of original rectangle}=55$

Therefore, area of the original rectangle is 55 square units.

Now we will find ratio of the original rectangle area to the new rectangle area as:

$\frac{\text{Area of original rectangle}}{\text{Area of new rectangle}}=\frac{55}{21}$

We know that perimeter of rectangle is two times the sum of length and width.

$\text{Perimeter of new rectangle}=2((x+2)+(x-2))$

$\text{Perimeter of new rectangle}=2((5+2)+(5-2))$

$\text{Perimeter of new rectangle}=2(7+3)$

$\text{Perimeter of new rectangle}=2(10)$

$\text{Perimeter of new rectangle}=20$

Therefore, the perimeter of the new rectangle is 20 units.

7 0

3 years ago

Which of the points below, when plotted on the graph, would connect with the other two points to form an isosceles triangle?A.(3

kodGreya [7K]

Answer:

c I believe

Step-by-step explanation:

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3 years ago

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