Answer:
It's false see 4 cannot go into 30 can I have
brainly?:)
Step-by-step explanation:
Answer:
1 7/15
Step-by-step explanation:
4/5 = 12/15
2/3 = 10/15
12/15 + 10/15 = 22/15 or 1 7/15
Answer:
1. 3
2. 2
Step-by-step explanation:
| |
x | + | 1 | | x^2 | + | 4 x | - | 2
x^3 | + | 5 x^2 | + | 2 x | + | 1
x^3 | + | x^2 | | | |
| | 4 x^2 | + | 2 x | |
| | 4 x^2 | + | 4 x | |
| | | | -2 x | + | 1
| | | | -2 x | - | 2
| | | | | | 3
__________________________________________
| |
x | - | 5 | | x^2 | - | x | + | 0
x^3 | - | 6 x^2 | + | 5 x | + | 2
x^3 | - | 5 x^2 | | | |
| | -x^2 | + | 5 x | |
| | -x^2 | + | 5 x | |
| | | | | | 2
| | | | | | 0
| | | | | | 2
18 kg of 15% copper and 72 kg of 60% copper should be combined by the metalworker to create 90 kg of 51% copper alloy.
<u>Step-by-step explanation:</u>
Let x = kg of 15% copper alloy
Let y = kg of 60% copper alloy
Since we need to create 90 kg of alloy we know:
x + y = 90
51% of 90 kg = 45.9 kg of copper
So we're interested in creating 45.9 kg of copper
We need some amount of 15% copper and some amount of 60% copper to create 45.9 kg of copper:
0.15x + 0.60y = 45.9
but
x + y = 90
x= 90 - y
substituting that value in for x
0.15(90 - y) + 0.60y = 45.9
13.5 - 0.15y + 0.60y = 45.9
0.45y = 32.4
y = 72
Substituting this y value to solve for x gives:
x + y = 90
x= 90-72
x=18
Therefore, in order to create 90kg of 51% alloy, we'd need 18 kg of 15% copper and 72 kg of 60% copper.
Sum of linear pair of angles = 180°
so
<EFG + <GFH = 180°
2n + 21 + 4n + 15 = 180°
6n + 36 = 180°
6n = 144
n = 24
<EFG = 2(24) + 21 = 69°
<GFH = 4n + 15 = 4(24) + 15 = 111°
