Answer:
25,000 grams
Step-by-step explanation:
Density can be found using the following formula:

If we rearrange the formula for
, mass, we will multiply both sides of the equation by v.


The mass can be found by multiplying the density by the volume.
Jeff's density is 1000 grams per milliliter and his volume is 25 milliliters.

Substitute the values into the formula.


Multiply. When you multiply, the "mL" or milliliters will cancel out.


Jeff's mass is 25,000 grams.
Answer:
x = 12
y = 22
Total amount = $2596
Step-by-step explanation:
First let's find the value of each deposit until the 10th in relation to x and y:
1st: x
2nd: y
3rd: x + y
4th: x + 2y
5th: 2x + 3y
6th: 3x + 5y
7th: 5x + 8y
8th: 8x + 13y
9th: 13x + 21y
10th: 21x + 34y
Now, we can write a system with two equations and two variables:
2x + 3y = 90
21x + 34y = 1000
From the first equation: x = (90 - 3y)/2
Using this value of x in the second equation, we have:
21*(90 - 3y)/2 + 34y = 1000
945 - 31.5y + 34y = 1000
2.5y = 55
y = 22
Now we can find x:
x = (90 - 3*22)/2 = 12
Now, summing all the deposits, we have a total of 55x + 88y, which is equal to 55*12 + 88*22 = $2596
Yes they are correct.
At least I'm pretty sure they are:)
Answer:
The first one is 8/12.
Step-by-step explanation:Add numerator and keep denominator same.