Answer:
shirt = $20
sweater = $35
Step-by-step explanation:
This question would be solved using simultaneous equation
Let the price of sweater be represented by a
Let the price of shirt be represented by b
The following equations can be derived from the question
2a + 4b = 150 equation 1
4a + 3b = 200 equation 2
Multiply equation 1 by 2
4a + 8b = 300 equation 3
Subtract equation 2 from 3
5b = 100
divide both sides of the equation by 5
b = 20
substitute for b in equation 1
2a + 4(20) = 150
2a + 80 = 150
collect like terms
2a = 150 - 80
2a = 70
divide both sides by 2
a = 35
Price of sweater = $35
Price of shirt = $20
Answer:
A water droplet reaches it's maximum height after 6 s
Step-by-step explanation:
Answer:
The measures of angle are 46 degrees and 134 degrees.
Step-by-step explanation:
We are given the following in the question:
Let the measure of one the of the supplementary angles be x degrees.
Measure of other angle =

Since, the two angles are supplementary, their sum is 180 degrees.
Thus, we can write and solve the equation:

Thus, the measures of angle are 46 degrees and 134 degrees.
Answer:
Present age of son = 15 years
& Present age of father = 40 years
Step-by-step explanation:
- Let the son's present age be x years
- -> Father's present age = (x + 25) years
- 10 years ago:
- Son's age = (x - 10) years
- Father's age = (x +25 -10) = (x +15) years
- It is given that: 10 years ago father was six times as old as his son
- -> Present age of son = 15 years
- & Present age of father = 40 years.
16 for every 100
8 for every 50
1 for every 16
.5 for every 8