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NARA [144]
2 years ago
13

what is the sum of two numbers is "-7." Two times the first number equals 4 the second number. Find the two numbers.

Mathematics
1 answer:
skelet666 [1.2K]2 years ago
4 0

Answer:

\sf \text{The numbers are $\dfrac{-14}{3} $ and $\dfrac{-7}{3}$}

Step-by-step explanation:

Let the numbers be x , y

Sum of two numers = -7

x + y = -7------------(I)

Two times the first number equals 4 the second number.

2x = 4y  ----------(II)

Divide both sides by 2

       \sf \dfrac{2x}{2}=\dfrac{4y}{2}

        x = 2y

Subtitute x = 2y in equation (I)

2y + y = -7

      3y = -7

       y = -7/3

Plugin y = -7/3 in equation (II)

\sf 2x = 4*\dfrac{-7}{3}\\\\2x = \dfrac{-28}{3}\\\\x =\dfrac{-28}{3*2}\\\\x = \dfrac{-14}{3}

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Which definition best describes vertical angles?
Artyom0805 [142]

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B is the answer

Step-by-step explanation:

Vertical angles are pair angles formed when two lines intersect. Vertical angles are sometimes referred to as vertically opposite angles because the angles are opposite to each other

4 0
2 years ago
How many cubes with side lengths of 1/3 does it take to fill the prism?
Ugo [173]

Answer:

180 cubes

Step-by-step explanation:

little cubes:

v=(\frac{1}{3} )^{3} =\frac{1}{27}

The prism:

v=(\frac{5}{3})(\frac{4}{3}  )(2)=\frac{40}{9} =\frac{20}{3}

the number of cubes that fill the prism:

cubes=\frac{\frac{20}{3} }{\frac{1}{27} } =\frac{(20)(27)}{(3)(1)}= \frac{540}{3} =180

Hope this helps

8 0
2 years ago
The sum of the digits of a 2-digit number is 10. If 18 is added to the number, the digits of the new number are those of the ori
Aliun [14]

Answer:

46

Step-by-step explanation:

Let (ab) represent a number with a in the ten's position and b is the one's position.

This means (ab) actually has value of 10a+b.

We are given the sum of those digits of (ab) is 10; this means a+b=10.

It says if 18 is added to the number (ab), then the result is (ba).

So (ab) has value 10a+b and

(ba) has value 10b+a.

We are given then:

(ab)+18=(ba)

10a+b+18=10b+a

Subtract 10a on both sides:

b+18=10b+a-10a

Simplify:

b+18=10b-9a

Subtract b on both sides:

18=10b-b-9a

18=9b-9a

Divide both sides by 9:

2=b-a

Rearrange by commutative property:

2=-a+b

So the system of equations we want to solve is:

a+b=10

-a+b=2

-------------------------Add equations together (this will eliminate the variable a and allow you to go ahead and solve for b:

0+2b=12

2b=12

Divide both sides by 2:

b=\frac{12}{2}

Simplify:

b=6

If b=6 and a+b=10, then a=4.  a=4 since 4+6=10.

So the original number is (46).

18 more than 46 is 18+46=(64) which is what we wanted.

We also have the sum of 4 and 6 is 10 as well.

7 0
3 years ago
Es - In the equation, which is true about the value of x?
8090 [49]

Answer:Infinite solutions

Step-by-step explanation:

4(2x+3)=x(3+5)+12

8x + 12= 3x +5x +12

8x + 12 = 8x + 12

No matter the value of x, performing the same operations to both sides will always result in the same answer

7 0
3 years ago
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