Answer:
34m of glass
Step-by-step explanation:
(I'm a visual learner so I'll have a picture of my work as well)
okay, you're going to want to separate this into a large rectangle and a triangle.
From there you're going to calculate the area of both.
rectangle formula:
A= L*H
Triangle Formula:
A= (L*H)/2
Then you just plug in the numbers and calculate, getting 18 for the rectangle and 16 for the triangle. 18+16 = 34
You add the two areas together as shown above, and then you have your area for the whole shape!
Step-by-step explanation:
If x is the mass of 30% copper alloy, and y is the mass of 65% copper alloy, then:
x + y = 80
0.30x + 0.65y = 0.51(80)
Solving the system of equations using substitution:
0.30x + 0.65(80 − x) = 0.51(80)
0.30x + 52 − 0.65x = 40.8
11.2 = 0.35x
x = 32
y = 80 − x
y = 48
The metalworker needs 32 kg of 30% copper alloy and 48 kg of 65% copper alloy.
To solve this problem, you must find a common denominator. First, you multiply the denominators together, then, multiply the numerator of the first fraction by the original denominator of the second fraction and vis-versa.
3*4 = denominator of both
2*4 = numerator of first fraction
3*3 = numerator of second fraction
Your fractions should end up being 8/12 cups of raisins and 9/12 cup of almonds. You can now compare these fractions.
Overall, there are 1/12 more almonds than raisins.
50 dollars per month. It says "after x months" -50x is the variable thats changes.