Answer:
It's true because plane geometry is 2 dimensional and solid geometry is 3 dimensional dont get them confused ok.
Answer:
a. 4y =12x the constant of variation is 3
Step-by-step explanation:
The equation for direct variation is y=kx
a. 4y =12x
Divide each side by 4
4y/4 = 12x/4
y = 3x
This is direct variation and the constant is 3
Equations b ,c, d all have a constant added which make them something other than a direct variation
Answer:
z=-4
Step-by-step explanation:
Simplify 10 + 2z + 2z to 10 + 4z
Add 10 to both sides
Simplify 10 + 4z + 10 to 4z + 20
Subtract 4z from both sides
Simplify -z - 4z − z− 4z to -5z − 5z.
Divide both sides by -5 − 5
Simplify 20 / 5 to 4
Answer:
<h2>400 L of orange punch</h2>
Step-by-step explanation:
step one:
given data
orange punch is 45% juice and
mango punch is 20% juice.
amount of fruit punch to be made is
500 L of a fruit punch that is 40% juice.
Let x = the number of liters of orange punch in the fruit punch.
Then the number of liters of mango is 500 - x
The number of liters of orange + mango juice is
0.45x + 0.2(500 - x), and this must equal the number of liters
in the fruit punch, which is 0.4*500
0.45x + 100 - 0.2x = 200
solve for x
0.45x-0.2x+100-200=0
0.25x-100=0
0.25x = 100
x=100/0.25
x = 400 L
<u>400 L of orange punch</u>
Answer: 3
Step-by-step explanation:
Scale factor is the ratio of the corresponding sides, so:
