All categories

3 years ago

What is this math equation ;9-x/5 =3 for x

1 answer:

6 0

The variable x has had the following done to it:
• multiply by -1/5
• add 9

We want to "undo" these operations in reverse order.
• undo "add 9" by "add opposite of 9"
.. -x/5 = -6 . . . . . . . -9 added to both sides of the equation

• undo "multiply by -1/5" by "multiply by -5". We choose -5 because it is the multiplicative inverse of -1/5. That is (-1/5)*(-5) = 1.
.. 1x = (-5)*(-6)
.. x = 30

You might be interested in

HELP!!! 20 POINT REWARD!!!

d1i1m1o1n [39]

Ah! I love these questions!

To find the area of the shaded region, you must find the area of the circle. Then, you must find the area of the triangle inscribed in the circle. Lastly, you must subtract the area of the triangle from the area of the circle.

Area of Circle: $\pi$ x $r^{2}$
= $\pi$ x 10^2
= $\pi$ x 100
Usually these problems will not require you to convert pi into a decimal, but if it does, then the area of the circle would be 314.

Area of Equilateral Triangle: $\frac{ s^{2} \sqrt{3} }{4}$
To find the side, draw a perpendicular line from the center to a side of a triangle. This line will create two more triangles inside the big triangle. You will notice how in these smaller triangles, the angles are 30, 60, 90. From that we can deduce that half the length of a side is 5 $\sqrt{3}$ because of the 30, 60, 90 ratio. Multiply that by 2 to get 10 $\sqrt{3}$ as the length of the side of the large triangle. Now substitute this value into the formula above.
$\frac{ (10 \sqrt{3}) ^{2} x \sqrt{3} }{4} = \frac{300 \sqrt{3} }{4} = 75 \sqrt{3}$

Final Answer: 100 $\pi$ - 75 $\sqrt{3}$

6 0

3 years ago

Can someone help I’m confused

PtichkaEL [24]

Since the slope is -2 we know that m=-2. Now use the standard form of y=mx+b and plug in the coordinates (-8,2). We know y=2, x=-8, and m=-2. Therefore we get 2=-2(-8)+b. Now solve for b and you get -14. Therefore, the equation is y=-2x-14.
Hope this helped!

4 0

3 years ago

Solve using the substitution method

dlinn [17]

You are told x = 8y -4

Replace x in the second equation with 8y-4:

8y-4 + 8y = 6

Combine like terms:

16y-4 = 6

Add 4 to both sides:

16y = 10

Divide both sides by 16:

Y = 10/16

Simplify:

Y = 5/8

Now replace y with 5/8 do find x:

X = 8(5/8) -4 = 5-4 = 1

X = 1, y = 5/8

(1,5/8)

3 0

3 years ago

Write division expression

tatiyna

Answer:

9/16 ÷ 5/8 = 9/16 × 8/5. ?

Step-by-step explanation:

7 0

3 years ago

Mrs porcelli’s classroom bulletin board is 2/1/4 feet long. Ms Smith’s bulletin board is 3 times as long Mrs porcelli’s.How long

yuradex [85]

Answer:

6.75 or 6 3/4

Step-by-step explanation:

First take the whole number and multiply that by 3.

2*3=6

Now, take the fraction and multiply that times 3.

1/4 as a decimal is 0.25. You can ignore the decimal point right now, but you have to remember it is there later.

So, whithout the decimal point, 25*3= 75.

Now, you add the decimal. The 75 is now 0.75, with the decimal.

Add the whole number and the decimal, and you have your answer!

6+0.75=6.75. As a fraction this is 6 3/4

6 0

4 years ago