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dsp73
3 years ago
14

What is the solution to the system of equations x-y=5 and 3x+7y=-5​

Mathematics
1 answer:
True [87]3 years ago
6 0

Answer:

Step-by-step explanation:

3(x-y)-3x-7y=3(5)-(-5)

3x-3y-3x-7y=15+5

-10y=20

y=-2, since x-y=5

x-(-2)=5

x+2=5

x=3

So the solution is the point (3,-2)

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Which equation can be used tº find B in the triangle below?
Anton [14]

Answer:

tanB=8/6

Step-by-step explanation:

6 0
3 years ago
What is the typical number of payments that can be made toward paying off a single payment loan?
valina [46]

Answer:

The correction option is B.

Step-by-step explanation:

  • Asking for typical no. of payments towards paying single payment loan
  • Since single payment loan should be paid in one shot
  • Therefore correct option is B i.e. one.

7 0
3 years ago
Read 2 more answers
An equiangular triangle has one angle of measure 2x+8. What is x?
lina2011 [118]

Answer:

x=26\\

Step-by-step explanation:

The sum of the interior angles of a triangle add up to 180^{\circ}. Therefore, an equiangular triangle will have each of its angles equal to 60^{\circ}}. We can then set up the following equation:

2x+8=60, \\2x=52, \\x=\fbox{$26$}.

3 0
3 years ago
Read 2 more answers
Neil has 3 partially full cans of white paint.They contain 1/3 gallon,1/5 gallon,and 1/2 gallon of paint.About how much paint do
Wittaler [7]

Answer:

  less than 1 1/2 gallons

Step-by-step explanation:

1/3 + 1/6 = 1/2, so the sum of the three cans is more than 1 by the difference between 1/5 and 1/6. That difference is 1/30 gallon. The sum is 1 1/30 gallons, which is less than 1 1/2 gallons.

__

A suitable common denominator is 2·3·5 = 30. Then the sum of the fractions is ...

  1/3 + 1/5 + 1/2

  = 10/30 + 6/30 + 15/30

  = 31/30 = 1 1/30 . . . . . less than 1 1/2

In decimal, 1/3 ≈ 0.333, 1/5 = 0.200, 1/2 = 0.500, so the sum is ...

  0.333 +0.200 +0.500 = 1.033

which is less than 1.5.

4 0
4 years ago
6 children and 2 adults are going to the circus, children tickets are on sale, half the price of adult tickets totaling $54. How
inna [77]

Answer:

Price of 1 child ticket is $5.4

Price of 1 adult ticket is $10.8

Step-by-step explanation:

Given:-

6 children and 2 adults are going for circus.

Children ticket is half the price of adult ticket.

Total ticketing cost =$54

To find:-

Cost of 1 child ticket=?

Cost of 1 Adult ticket=?

Solution:-

Let price of 1 child ticket be x and price of 1 adult ticket be y,

therefore from the given data we get 2 equations,

6x+2y=54                          -----------------------------------(1)

x=\frac{1}{2} y                    --------------------------------(2)

Now, substituting the value of x from equation 2 in equation 1,

6x+2y=54

6(\frac{1}{2} y)+2y=54

\frac{6}{2}y+2y=54

3y+2y=54

5y=54

\therefore y=\frac{54}{5}

\therefore y =10.8          ------------------------(3)

Now, substituting the value of y from equation 3 in equation 2,

x=\frac{1}{2} y

\therefore x=\frac{1}{2} \times 10.8       ------------(from equation 3)

\therefore x=\frac{10.8}{2}

\therefore x=5.4              ----------------------(4)

As, x is price of 1 child ticket and y is price of 1 adult ticket,

Therefore price of 1 child ticket is $5.4 and price of 1 adult ticket is $10.8

7 0
3 years ago
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