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goldenfox [79]
3 years ago
10

Follow the directions to solve the system of equations by elimination.

Mathematics
2 answers:
Korolek [52]3 years ago
3 0
To solve a system of equation by elimination, the coefficients of the  same variable of both equations must be equal. In this case, let's choose y.
In order to make the coefficient of y of the second equation be equal to 7, we divide it by 2. Resulting to:
2x - 7y = -34

Next, add the two solutions so that the y term is eliminated. The result is:
10x = 5
Then solve for x
x = 1/2

Substitute x to either of the solution to solve for y. The result is:
y = 5
zheka24 [161]3 years ago
3 0

Answer:

The solution to the system of equations is 1/2 , 5

Step-by-step explanation:

Took test on ed :)

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Step-by-step explanation:

8 0
3 years ago
a cylinder and a cone have the same radius and height. The volume of the cylinder is 534ft3 . what volume of the cone?
DochEvi [55]

Answer: 178 ft^3

Step-by-step explanation:

A cylinder has the formula V=pi radius ^2 height

A cone has the formula V= 1/3 pi radius ^2 height

So 1/3 of the volume of the cylinder is the volume of a cone

1/3 of 534 = 178 ft^3

5 0
2 years ago
Select all the correct answers.
Nesterboy [21]

Answer:

D. 75(5r+3d+4f) and 75(5r)+75(3d)+75(4f)

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2 years ago
Find the range and the interquartile range of the given data set.<br> 2, 4, 7, 8, 16, 19, 21
sashaice [31]
The range for the data given is 11
4 0
3 years ago
How long would it take you to double your money is the bank pays 3.6% interest, compounded
Lapatulllka [165]

Answer:

t=19.25\ years

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

t=?\ years\\P=x\\r=3.6\%=3.6/100=0.036\\A=2x  

substitute in the formula above

2x=x(e)^{0.036t}  

solve for t

simplify

2=(e)^{0.036t}  

Apply ln both sides

ln(2)=ln[(e)^{0.036t}]

Applying property of exponents

ln(2)=[0.036t]ln(e)

Remember that ln(e) =1

ln(2)=[0.036t]

t=ln(2)/[0.036]

t=19.25\ years

7 0
3 years ago
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