The set of number can all be related to each other. They may all have more factors that are greater than 1.
Area of pizza = pi × r^2
pi × r^2 = 220 Sq. cm
22/7 × r^2 =220
r^2 = 220 × 7/22
r^2 = 70
r = square root of 70
r = 8.36
therefore , radius of the pizza is 8.36 cm
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Since the cost is $6.75 per pound, and we have 2.6 pounds, multiply 6.75•2.6 to find the cost.
It would cost $17.55.
Answer:
Step-by-step explanation:
Since y=x+1 plug it into bottom equation as y.
Subtract 1 from both sides
Subtract 5x from both sides
Divide both sides by -4
Now x=-3 into the top equation to find y
y=-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.
