We can set Charmaine's age as x. If William is 3 years older, than his age would be 3 + x.
Charmaine = x
William = 3 + x
Their ages added up together is 76, and we need to multiply Charmaine's age by 3 and William's age by 2.
3x + 2(3+x) = 76
3x + 6 + 2x = 76
5x = 70
x= 14
Charmaine is 14 years old
William's age is Charmaine's age plus 3.
William is 17 years old.
Answer:
$180
Step-by-step explanation:
First, add up all the money already allocated in the categories.
1200+400+300+500+400+25+75=2900
Then, take 3080 subtracted by the total.
3080-2900=180
Don't forget to add the $ sign in the end
Answer:
The time to complete the job is given by the expression below:
![T = \frac{24}{x}](https://tex.z-dn.net/?f=T%20%3D%20%5Cfrac%7B24%7D%7Bx%7D)
Where T = time it takes to wash all the windows
x = the number of workers assigned to the job
Step-by-step explanation:
The proportionality can be represented below as:
T ∝ ![\frac{1}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D)
T =
-------------------- Equation 1
Where K is the constant of proportionality
Considering the given instance,
When T = 6, x = 4
6 = ![\frac{K}{4}](https://tex.z-dn.net/?f=%5Cfrac%7BK%7D%7B4%7D)
K = 4 × 6
K = 24
Substituting the value of K into Equation 1,
T = ![\frac{24}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B24%7D%7Bx%7D)
Answer:
A. U - 2v = -14i +13j
Step-by-step explanation:
If u = (-2, 5) and v = 6i -4j
Then 2v = 2*(6i-4j) = 12i-8j
u-2v = -2i +5j - (6i -4j)
Distribute the minus sign
-2i +5j -6i+4j
-2i +5j
-12i + 8j
---------------
-14i +13j