Answer:
a. 1.65s+1.36k=118.17 and s+k=79
b. Mr Sanchez with $61.05
c. 61.05 - 57.12 = $3.93
Step-by-step explanation:
A system of equations is 2 more or more equations with the same variables that relate information about a situation. Here the variables will be S for the number of Mr. Sanchez's class fruit sold and K for the number of Mr. Kelly's bottles of fruit juice sold.
The first equation can be written as 1.65s +1.36k = 118.17 for the total amount of money sold. This equation says $1.65 per item sold by Mr. Sanchex plus 1.36 per item sold by Mr. Kelly equals a total of $118.17.
The second equation can be written between the total number of items sold which was 79. This is s+k=79.
To solve, graph, substitute or eliminate to find s or k. Here we will substitute by rearranging s+k=79 as k=79-s.
1.65s+1.36(79-s)=118.17
1.65s+107.44-1.36s=118.17
0.29s+107.44=118.17
0.29s = 10.73
s= 37 items sold in Mr. Sanchez's
Substitute again into the equation s+k=79.
37+k=79
k=79-37
k= 42 items sold in Mr. Kelly's
This means Mr. Sanchez's earned $1.65(37)=$61.05 and Mr. Kelly's earned $1.36(42)= $57.12
Factor out the greatest common factor of each group
a(b+2)+3( b+2)
Factor the polynomial by factoring out the greatest common factor, b+2
(b+2)(a+3)
Answer:
- 12.5 ounces of 12% alloy
- 37.5 ounces of 24% alloy
Step-by-step explanation:
Let x represent the amount (in ounces) of 24% alloy in the mix. Then the amount of 12% alloy is (50 -x). The amount of silver in the mix is ...
24%·x + 12%·(50 -x) = 21%·50
12x = 450 . . . . . . simplify, multiply by 100 (to eliminate %), and subtract 600
x = 37.5 . . . . . . . divide by 12
The jeweler needs to mix 37.5 ounces of 24% silver alloy with 12.5 ounces of 12% silver alloy to make 50 ounces of 21% silver alloy.
Answer:
Step-by-step explanation:
45
Answer:
A=35, B=55, and C=25
Step-by-step explanation:
Angle A and the angle next to it are linear pairs, so you can subtract 145 from 180.
if you already know Angle A, and that the other angle is 90 degress, you can add 90+35 and subtract it from 180 to get Angle B
Angle C is paired with the angle across from it (I forgot what the term is called) so it is 25 degrees.
