Answer:
<em>The metalworker should use 60 kg of metal alloy that is 70% copper and 40 kg of metal alloy that is 20% copper.</em>
Step-by-step explanation:
<u>System of Equations
</u>
Let's call
x=amount of metal alloy that is 20% copper
y=amount of metal alloy that is 70% copper
The metalworker wants to create 100 Kg of 50% copper alloy. This gives us the first relation
x+y=100
The combination of 20% of x and 70% of y will produce 50% of the sum of both, thus
20x+70y=50(x+y)
Operating
20x+70y=50x+50y
Reducing and dividing by 10
2y=3x
The system of equations is easily solved by isolating x in the first equation
x=100-y
And replacing into the last equation
2y=3(100-y)
Operating
2y=300-3y
5y=300
y=60
Thus
x=100-60=40
The metalworker should use 60 kg of metal alloy that is 70% copper and 40 kg of metal alloy that is 20% copper.
Answer:
35 square units.
Step-by-step explanation:
To find the area of a parallelogram, the formula is the exact same as finding the area of a rectangle. So 7 x 5 is 35.
Answer:
67. A
68. D
Step-by-step explanation:
I don't remember exactly the explanation, but I recommend you try to learn more about number lines sometime when you aren't under stress from schoolwork, because they're pretty simple questions to answer once you get a better understanding of them!
Answer:
UT + CV = 4x + 33
Step-by-step explanation:
Given:
TW = 14
WU = 2x + 2
VW = 2x + 5
WC = 12
Find:
UT + CV
Computation:
UT = TW + WU
UT = 14 + 2x + 2 = 16 + 2x
CV = VW + WC
CV = 2x + 5 + 12 = 2x + 17
UT + CV
16 + 2x + 2x + 17
UT + CV = 4x + 33
An equation whose variables are polar coordinates is called a polar equation. These equation are characterized by an r as a function an angle. Polar equations can be written in rectangular coordinates by certain relationships. An example of a polar equation would be r = 2sin∅.
