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DIA [1.3K]
3 years ago
13

Evaluate 5−1/−90. Write your answer as a fraction in simplest form.

Mathematics
1 answer:
Ray Of Light [21]3 years ago
5 0

Answer:

2/-45

Step-by-step explanation:

5-1 = 4

4/-90 = 2/-45

Hope that helps

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Which of the following equations has the same solutions as the equations 3x+2y=-12
Marianna [84]

B, C, E, F

<h2>Explanation:</h2>

In this problem, we have the following equation of a line written in Standard form:

3x+2y=-12

So  we need to choose the equations that has the same solutions as this equation. If we multiply each equation by a constant term and find the same solution as the given equation, then they will have the same solution. This is only true fro options B, C, E and F.

Option B.

-3x-2y= 12 \\ \\ Multiply \ both \ sides \ by \ -1: \\ \\ (-1)(-3x-2y)=(-1)(12) \\ \\ 3x+2y=-12

So we get the same given equation. This option is valid!

Option D.

15x+10y= -60 \\ \\ Multiply \ both \ sides \ by \ 1/5: \\ \\ (\frac{1}{5})(15x+10y)=(\frac{1}{5})(-60) \\ \\ 3x+2y=-12

So we get the same given equation. This option is valid!

Option E.

6x+2y= -12 \\ \\ Multiply \ both \ sides \ by \ 1/2: \\ \\ (\frac{1}{2})(6x+2y)=(\frac{1}{2})(-24) \\ \\ 3x+2y=-12

So we get the same given equation. This option is valid!

Option F.

1.5x+y= -6 \\ \\ Multiply \ both \ sides \ by \ 2: \\ \\ (2)(1.5x+y)=(2)(-6) \\ \\ 3x+2y=-12

So we get the same given equation. This option is valid!

For the other options, there is no any constant term that multiplies both sides of the equation and gives us the same given equation.

<h2>Learn more:</h2>

About this subject: brainly.com/question/8810210

#LearnWithBrainly

7 0
3 years ago
A pool measuring 16 meters by 22 meters is surrounded by a path of uniform​ width, as shown in the figure. If the area of the po
lesantik [10]

Let X be the width of the path.

The width of the path would be the width of the pool plus 2x, so 2x +16

The length of the path would be the length of the pool plus 2x, so 2x+22

The total area is 832 square feet.

Area is found by multiplying the length by the width.

So you have:

(2x+16) (2x+22) = 832

Use the Foil Method:

(2x+16) (2x+22) = 4x^2 +76x+352

Now you have:

4x^2 +76x+352 = 832

Subtract 832 from both sides:

4x^2 +76x+352-832 = 0

Simplify:

4x^2 +76x -480

Factor the left side:

4(x-5)(x+24) = 0

Divide both sides by 4:

(x-5)(x+24) = 0

Set both parenthesis to equal 0 and solve for x:


x=5 and x = -24

The width of the path cannot be a negative number, so the width is 5 meters.


8 0
3 years ago
PLZ HELP omg
Mandarinka [93]

Answer:

1.75 hours and 2 Hours

Step-by-step explanation:

6 0
4 years ago
Simplify the expression 3(m - 5) + m
adoni [48]

Answer:

<h2><u><em>4m -15</em></u></h2>

Step-by-step explanation:

simplify the expression 3(m - 5) + m

3 * (m - 5) + m =

3m - 15 + m

4m -15

7 0
3 years ago
Find angle. Picture below!
Law Incorporation [45]

Answer:

m<QRP=42degrees

m<Q=79degrees

m<P=59degrees

Step-by-step explanation:

3 0
3 years ago
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