Answer:
numerator is 10
denominator is 25
Step-by-step explanation:
let x be the numerator
let y be the denominator
write 2 equations:
y = 5 + 2x
= 
y is already isolated in the first equation, substitute into the second equation:
=
simplify:
=
cross multiply:
2x - 2 = 6(x - 7)
simplify:
2x - 2 = 6x - 42
subtract 2x:
-2 = 4x - 42
add 42:
4x = 40
divide by 4:
x = 10
plug in 10 for x in the first equation:
y = 5 + 2(10)
y = 5 + 20
y = 25
numerator is 10
denominator is 25
Ok, let's assume it's "sec^2 x"
So, the number of solutions (real ones) is 0.
Answer:
1 pound of gummy bears = $3.20
1 pound of jelly beans = $7.50
Step-by-step explanation:
1.8 pounds of gummy bears + 0.6 pounds of jelly beans
= $10.26
1.2 pounds of gummy bears + 1.5 pounds of jelly beans
= $15.09
2.5 × (1.8 pounds of gummy bears + 0.6 pounds of jelly beans) = 2.5 × $10.26
--> 4.5 pounds of gummy bears + 1.5 pounds of jelly beans = $25.65
(4.5 pounds of gummy bears + 1.5 pounds of jelly beans) - (1.2 pounds of gummy bears + 1.5 pounds of jelly beans) = 3.3 pounds of gummy bears
3.3 pounds of gummy bears
= $25.65 - $15.09
= $10.56
1 pound of gummy bears
= $10.56 ÷ 3.3
= $3.20
1 pound of jelly beans
= [$10.26 - ($3.20 × 1.8)] ÷ 0.6
= $4.50 ÷ 0.6
= $7.50
You can set up an equation based off of the information given:
x represents the unknown number
3/5x - 1 = 23
add 1 to both sides to isolate the 3/5x
3/5x = 24
divide both sides by 3/5 to solve for x
x = 120/3
120/3 can be simplified into 40
Final answer: x = 40
No because if you multiply the ratio 7:4 by 7 you would get 49:28
