All categories

3 years ago

6 (x-6) = -3 (-x + 3)

1 answer:

5 0

You have to distribute!
6(x) = 6x and 6(-6)=-36
So now you have 6x-36=-3(-x+3)
Now do the same on the other side.
-3(-x)=3x -3(3)=-9
So now, 6x-36=3x-9
Combine the like terms:
Subtract 3x in both sides.
6x-3x=3x
Now: 3x-36=-9
Add 36 in both sides.
3x=27
Divide by 3 on both sides to get x alone.
3x/3= x 27/3=9
X=9

You might be interested in

What is the value of x?

vazorg [7]

Answer:

x = 58

Step-by-step explanation:

Angle = 1/2(difference of intercepted arcs)

51 = 1/2 ( 160 -x)

Multiply each side by 2

2*51 = 160-x

102 = 160-x

Subtract 160

102 -160 = -x

-58 = -x

58 =x

6 0

2 years ago

For her presentation on the Wonders of the World, Mary baked a square pyramid-shaped cake as pictured below. The slant height of

mihalych1998 [28]

Answer:

$V=196in^3$

Step-by-step explanation:

The volume of a pyramid is:

$V=\frac{A_{b}h}{3}$

where $A_{b}$ is the area of the base and $h$ is the height (the perpendicular measurement between base and highest point, not the slant height)

Since the base is a square, the area is given by:

$A_{b}=l^2$

where $l$ is the length of the side: $l=8in$ , thus:

$A_{b}=(8in)^2\\A_{b}=64in^2$

Now we need to find the height, for this we use the right triangle that forms with half of a square side (8in/2 = 4in), the slant height (10in), and the height.

In this right triangle, the slant height is the hypotenuse, the leg 1 is the unknown height, and leg 2 is half of the square side.

Using pythagoras:

$hypotenuse^2=leg1^2+leg2^2$

substituting our values, and indicating that leg 1 is height h:

$(10in)^2=h^2+(4in)^2$

$100in^2=h^2+16in^2$

and solving for the height:

$h^2=100in^2-16in^2\\h^2=84in^2\\h=\sqrt{84in^2}\\ h=9.165in$

and finally we calculate the volume using this height and the area of the base:

$V=\frac{A_{b}h}{3}$

$V=\frac{(64in^2)(9.165in)}{3} \\V=195.5in^3$

rounding to the nearest cubic inch: $V=196in^3$

4 0

3 years ago

Aaron bakes 3 trays of cookies each containing 10 cookies and Ethan bakes 4 trays of cookies each containing 12 cookies.

Sonbull [250]

6((3 * 10) + (4 * 12)).....ur expression
6(30 + 48)
6(78)
468 cookies in 6 days

5 0

3 years ago

128.34 as a mixed number in simplest form

katrin2010 [14]

128.34
= 128+ 0.34
= 128+ 34/100
= 128+ (34/2) / (100/2)
= 128+ 17/50
= 128 17/50

128.34 written as a mixed number is 128 17/50~

7 0

2 years ago

One pump can empty a pool in 4 days, whereas a second pump can empty the pool in 10 days. How long will it take the two pumps, w

gtnhenbr [62]

Answer:

20/7 days (just less than 3 days)

Step-by-step explanation:

Recall that (1 job) = (rate)(time), so time = (1 job) / (rate).

Set up and solve the following equation:

1 job

------------------------------- = time required for 2 pumps working together

1 job 1 job

---------- + -------------

4 days 10 days

This comes out to:

1 job

------------------------------------------- = time required

10 job-days 4 job-days

------------------ + -----------------

40 days 40 days

or:

1 job

-------------------- = (40/14) days, or 20/7 days (just less than 3 days)

14 job·days

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

40 days

7 0

3 years ago