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3 years ago

Solve the system: 3x+6y=51 y=40-5x Write down your solution here

2 answers:

7 0

X=7 y=5
You need to used the second equation and isolate either x or y. It’s your choice. Then, use that and substitute it in for the first equation. Then you will get an integer and substitute it back to the second equation.

Ierofanga [76]3 years ago

5 0

Answer:

x=7 y=5

Step-by-step explanation:

3x+6(40-5x)=51

3x+240-30x=51

-27x+240=51

-27x=-189

27x=189

x=7

y=40-5(7)

y=40-35

y=5

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ANSWER FAST ITS URGENT

Vlad1618 [11]

Answer:

9) 6.3 units

11) n=6√2 and m=12,

10) m=6√3, n=6

12) 330.6 ft

Step-by-step explanation:

1) The Pythagoras Theorem says that, the square of the hypotenuse is the sum of the squares of the two shorter legs.

Let the missing side, which is the hypotenuse be x.

Then

${x}^{2} = {2}^{2} + {6}^{2}$

${x}^{2} = 4 + 36$

${x}^{2} = 40$

$x = \sqrt{40}$

$x = 6.3$

The missing side is 6.3 units to the nearest tenth.

2) This is an isosceles right triangle.

This implies that, the two legs are equal.

$n = 6 \sqrt{2}$

The hypotenuse can be found using Pythagoras Theorem.

${m}^{2} = {(6 \sqrt{2} )}^{2} + {(6 \sqrt{2} )}^{2}$

${m}^{2} = 36(4)$

$m = \sqrt{36 \times 4} = 6 \times 2 = 12$

3) The side lengths of 30°-60°-90° are in the ratio, 2x,x√3,x

From the diagram, the hypotenuse is 12, therefore the other two legs are

$n = \frac{1}{2} (12) = 6$

and

$m = 6 \sqrt{3}$

4) The height of the monument is 115 feet, the hypotenuse is 350.

By Pythagoras Theorem,

${x}^{2} + {115}^{2} = {350}^{2}$

${x}^{2} = {350}^{2} - {115}^{2}$

${x}^{2} = 109275$

$x = \sqrt{109275} = 330.6 ft$

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3 years ago

The y-intercept of the line whose equation is 2x+y= 4 is 04 0-2 02

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(0,4) is the y intercept

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Marcus observed that 8 of the 20 games that he had bowled last week were over 180. What percent of his games were over 180?

shepuryov [24]

Answer:

40%

Step-by-step explanation:

Ok so my brain is sorta not working but it said "hey! 20 divided by 2 is 10!"

So I was like ight and divided 80 by 2 to to get 40%.

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3 years ago

Given a line segment that contains the points A,B, & C in order, if AB = x + 12, and BC = 2x - 4, and AC = 26, find x.

Troyanec [42]

Answer:

x = 6

Step-by-step explanation:

If A, B and C lies on a straight line in order, then;

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x+2x+12-4 =26

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Hence the value of x is 6

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The answer is option 2.

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