What number must you multiply both sides of 3/4a=24 by to get equivalent equation a=32??

Mathematics

1 answer:

Mamont248 [21]3 years ago

3 0

4 because 4 times 24 equals 96 then 96 divided by 3 equals 32

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maple syrup worth $6.00 a gallon and corn syrup worth .80 cents a gallon are used to make a mixture worth $2.36 a gallon. How ma

WITCHER [35]

maple syrup = x

corn syrup = 50-x

6x + 0.8(50-x)=2.36*50

6x+40-0.8x=118

5,2x=78

x= 15 gallons of maple syrup

50-15 = 35 gallons of corn syrup

4 0

3 years ago

3. For the equation-4y = &r, what is the constant of variation? (1 point)<br> ООО<br> 02

alexandr1967 [171]

Answer:

3).

$- 4y = 8x \\ \frac{y}{x} = \frac{8}{ - 4} \\ \frac{y}{x} = - 2 \\ y = - 2x \\ hence \: constant \: is \: - 2$

4).

$y \alpha x \\ y = kx \\ where \: k \: is \: the \: constant \: of \: proportionality \\ when \: y = 24 \: and \: x = 8 \\ substitute \: in \: y = kx \\ 24 = 8k \\ k = \frac{24}{8} \\ k = 3 \\ value \: of \: constant = 3$

If it was by 10, k = 3 by 10

k = 30

5).

$general \: equation \: of \: line \\ y = mx + c \\ but \: m = \frac{2}{3} \: and \: c = 9 \\ substitute \: for \: m \: and \: c \: in \: y = mx + c \\ y = \frac{2}{3} x + 9 \\ alternatively \\ 3y = 2x + 27$