For example:
(4/9) x=8
Now can solve this equation multiplying each side by 9/4.
(9/4)(4/9)x=(9/4)8
x=18
To check:
(4/9)(18)=(4*18)/9=72/9=8
Answer:
Step-by-step explanation:
Xavier, Yolanda and Zara shared some money.
Let x represent Xavier's share
Let y represent Yolanda's share
Let z represent Zara's share.
Yolanda received 40% more money than Xavier. This means that
y = x + 40/100×x = x + 0.4x = 1.4x
Zara received 60% of Yolanda's share. This means that
z = 60/100× 1.4 = 0.6×1.4 = 0.84x
. If Zara received $1,176, then,
0.84x = 1176
x = 1176/0.84 = 1400
y = 1.4 × 1400 = $1960
z = 0.84 × 1400 = $1176
The sum of the money is
1400 + 1960 + 1176 = $4536
Answer:
3/8
Step-by-step explanation:
First,
convert 3/4 of an hour to minutes;
If 1 hr = 60 mins
then 3/4 of 1hr = ![\frac{3}{4} *60\\ \\ =45 mins.Next, If 1/2 of 3/4 was spent practicing recital piece, it means that it is half of 45 mins;1/2 *45 = 22.5 minsLastly, convert the 22.5 mins into a fraction of an hour;22.5/60 = [tex]\frac{3}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20%2A60%5C%5C%20%5C%5C%20%3D45%20mins.%3C%2Fp%3E%3Cp%3ENext%2C%20%3C%2Fp%3E%3Cp%3EIf%201%2F2%20of%203%2F4%20was%20spent%20practicing%20recital%20piece%2C%20it%20means%20that%20it%20is%20half%20of%2045%20mins%3B%3C%2Fp%3E%3Cp%3E1%2F2%20%2A45%20%3D%2022.5%20mins%3C%2Fp%3E%3Cp%3ELastly%2C%20convert%20the%2022.5%20mins%20into%20a%20fraction%20of%20an%20hour%3B%3C%2Fp%3E%3Cp%3E22.5%2F60%20%3D%20%5Btex%5D%5Cfrac%7B3%7D%7B8%7D)
Answer:
9 litres of tomato concentrate