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Tcecarenko [31]
3 years ago
9

One number is 3 more than another number. if you add 12 to 4 times the first number, the result is 5 times the second number. Fi

nd the numbers
Mathematics
1 answer:
aleksklad [387]3 years ago
3 0

Answer:

first is -3, second number is 0

Step-by-step explanation:

you have two equations x+3=y and 4*x+12=5*y

Use the first one and write y in terms of x in the second equation:

4*x+12=5*(x+3)

4*x+12=5*x+15

12=5*x-4*x+15

12=x+15

x=-3

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Answer:

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Step-by-step explanation:

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4 0
3 years ago
The measure of one angle is 13 less than five times The measure of another angle. The sum of the measure of the two angles is 14
kodGreya [7K]

\huge\boxed{a=\frac{229}{2};\ \ b=\frac{51}{2}}

<em>In decimal form, a = 114.5; b = 25.5</em>

We will write this as a system of equations, where a and b are the two angles.

\left \{ {{a=5b-13} \atop {a+b=140}} \right

We will use substitution to solve this system. We know what a equals, so we plug that into the second equation.

5b-13+b=140

Combine the like terms.

6b-13=140

Add 13 on both sides.

6b=153

Divide both sides by 6.

b=\frac{153}{6}=\boxed{\frac{51}{2}}

Now just subtract that from 140.

a=140-\frac{51}{2}=\boxed{\frac{229}{2}}

7 0
3 years ago
What is the standard form of 8.2x10 to the power of 5
-Dominant- [34]

Answer:

820000

Step-by-step explanation:

all you've got to do is move the decimal point how many times the power is. in this instance it''s 5. hope that helped mate.

6 0
3 years ago
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Answer:

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Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Find the value of k for x^2 - 2kx+7k -12=0 so that they have two equal roots
Alisiya [41]

Step-by-step explanation:

x^2 -2kx +7k -12 = 0

two equal roots -->Δ = b^2 -4ac = 4k^2 - 4(7k-12)=0 = 4(k^2 - 7k +12)=4(k-4)(k-3)=0

so k =3 and k =4

5 0
3 years ago
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