Answer:
4) A
5) E
Step-by-step explanation:
#4


Cross multiply the equation and you get:

Since
is the same thing as
, you can change the equation into 
Cancel out the y on the top and bottom and you get 1/10
#5
, simplify and you get
so x=15
is equal to
after you plug in x, and that is equal to 9
First solve the volume of the prism
V = l x w x h
where l is the length
w is the width
h is the hieght
V = 20 x 2 x 314
V = 12560 cu in
then solve the volume of the cube
V = e^3
V = 14^3
V = 2774 cu in
number of cube = 12560 / 2774
number of cube = 4 cubes
There are 3 feet in 1 yard.
Multiply 56 × 3 = 168
Jared will need 168 feet of fence to enclose his property.
Answer: 3 balloons
Step-by-step explanation:
The ratio would be pink balloons to total balloons (aka pink/total), so 5 to 20 (aka 5/20). This simplifies to 1/4. If the new total is 12, and x represents pin balloons, then you can do 1/4=x/12. By cross multiplying, you get 12=4x. Divide both sides by 4 and x would equal 3. Therefore, the party store should expect to sell 3 pink balloons.
Answer:
(-12 , 2)
Step-by-step explanation:
<u>GIVEN :-</u>
- Co-ordinates of one endpoint = (-4 , -10)
- Co-ordinates of the midpoint = (-8 , -4)
<u>TO FIND :-</u>
- Co-ordinates of another endpoint.
<u>FACTS TO KNOW BEFORE SOLVING :-</u>
<em><u>Section Formula :-</u></em>
Let AB be a line segment where co-ordinates of A = (x¹ , y¹) and co-ordinates of B = (x² , y²). Let P be the midpoint of AB . So , by using section formula , the co-ordinates of P =

<u>PROCEDURE :-</u>
Let the co-ordinates of another endpoint be (x , y)
So ,

First , lets solve for x.



Now , lets solve for y.



∴ The co-ordinates of another endpoint = (-12 , 2)