Let daniel's age = d and let jessica's age = j
let your current age = x and your wife's current age = y
x = 5d (given in question)
∴ x - 5d = 0
x + 21 = 2(d+21) (given in question)
∴ x + 21 = 2d + 42
∴ x - 2d = 21
We can solve these two rearranged equations simultaneously by multiplying the first equation by -1 and adding them. This gives us the following:
3d = 21
∴ d = 7
This means that daniel is currently 7 and (if we substitute d = 7 into one of the equations) you are 35. We use a similar method for your wife's and jessica's current ages.
y = 7j (given in question)
∴ y - 7j = 0
y + 8 = 3(j + 8)
∴y + 8 = 3j + 24
∴ y - 3j = 16
If we use a similar method of elimination we get this:
4j = 16
∴ j = 4
Hence, from this we can concur that daniel is 7 and jessica is 4.
They collected 50 pound of pieces that could be categorized as paper because 1/5 of 250 is 59.
Answer: 180 pushups
Step-by-step explanation: First set up a proportion. The proportion would be 30 pushups over 60 seconds equal x over 360 seconds. Then you would cross multiply which is 60 times x which is 60x .After that do 30 times 360 which is 10,800.Now you have 60x = 10,800.NOw divide both sides by 60 which gives you 180 as x.
Hope it helps and pic is down below if want to understand more :)
Brainliest if helps you.
Answer:
y=0
Step-by-step explanation:
-2(4+3y)=-2(4+y)
-8-6y=-8-2y
+8 +8
-6y=-2y
+2y +2y
-4y=0
-4y/-4=0/-4
y=0
Answer:
1/3 =0.33 = 33%
Step-by-step explanation:
The probability is the number of chances divided by the total number. The total number of options is 6 since it is a six sided cube. She could roll a 6 to be greater than 5 or 1 to get less than 2. These are two options out of total of 6.
2 out of 6 is 2/6 which simplifies to 1/3 =0.33 = 33%
