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QveST [7]
2 years ago
7

If 15% of a number is 30 and 40% of the same number is 80, find 25% of that number.

Mathematics
1 answer:
zepelin [54]2 years ago
5 0

Answer:

50

Step-by-step explanation:

let the number be x

15% of x= 0.15x

0.15x=30

(divide both sides by 0.15)

x= 200

25% of 200 = 25/100 *200

= 50

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What should be done to these equations in order to solve a system of equations by elimination?
morpeh [17]

Answer

You can multiply the first equation by 4 and the second equation by 3.

You can multiply the first equation by 4/3.

You can multiply the first equation by 3.

Explanation

When solving a system of equations by elimination, you want to add or subtract the equations to "get rid" of a variable.

To do that, one of the variables in both equations have to have the same coefficient.

The first answer possible gives x the coefficient of 12 for both equations. You would get 12x+4y=52 and 12x-9y=39. You could subtract those equations to get 13y=13.

The second way gives x the coefficient of 4. You would multiply the first equation by 4/3 to get 4x+4/3y=52/3. You can subtract to get one variable, and then solve from there. Although, multiplying for 4/3 is annoying, so it's not suggested.

You can also "get rid" the the y. Multiply the first equation by 3 to get 9x+3y=39. You can add these equations. When you add 9x+3y=39 and 4x-3y=13 you get 13x=52.

7 0
3 years ago
William is going to invest in an account paying an interest rate of 5.9% compounded
Valentin [98]

Answer:

\$400.92  

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=19\ years\\ A=\$1,230\\ r=5.9\%=5.9/100=0.059  

substitute in the formula above

1,230=P(e)^{0.059*19}  

solve for P

1,230=P(e)^{1.121}  

P=1,230/(e)^{1.121}

P=\$400.92  

3 0
3 years ago
Select all graphs that represent functions
mylen [45]

Answer:

where is the functions

Step-by-step explanation:

3 0
2 years ago
Can you please help me​
Dmitry_Shevchenko [17]

Answer:

55 degrees

Step-by-step explanation:

angle adds up to 360. your equation would be 360 = 2(125) + 2(angleN)

7 0
2 years ago
Which set of measurements would create a triangle?
scZoUnD [109]
B. 5 cm, 6 cm, 7 cm . because the sum of two sides should be greater then the 3rd side
3 0
3 years ago
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