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Lelechka [254]
3 years ago
11

What is the answer to this question? Please Help.

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
5 0

Answer:

x = 2, y= 3

Step-by-step explanation:

y = -2x+7

y = 5x-7

Since the equations are both equal to y, set them equal to each other

-2x+7 = 5x-7

Add 2x to each side

-2x+7 +2x= 5x+2x-7

7 = 7x -7

Add 7 to each side

7+7 = 7x

14 = 7x

Divide by 7

14/7 = 7x/7

2 = x

Now find y

y = 5x-7

y = 5*2 -7

y = 10-7

y =3

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X=16-4y. systems of equations 3x+4y=8<br> substitution
alina1380 [7]

Answer:

x=-4  y=5

Step-by-step explanation:

Rewrite equations:

x=−4y+16;3x+4y=8

Step: Solvex=−4y+16for x:

x=−4y+16

Step: Substitute−4y+16forxin3x+4y=8:

3x+4y=8

3(−4y+16)+4y=8

−8y+48=8(Simplify both sides of the equation)

−8y+48+−48=8+−48(Add -48 to both sides)

−8y=−40

−8y

−8

=

−40

−8

(Divide both sides by -8)

y=5

Step: Substitute5foryinx=−4y+16:

x=−4y+16

x=(−4)(5)+16

x=−4(Simplify both sides of the equation)

Answer:

x=−4 and y=5

6 0
2 years ago
A weather balloon is 100,000 feet above sea level, and a submarine is 15,840 feet below sea level, drectly under the weather bal
GarryVolchara [31]

\text{Calculate how far apart the balloon and submarine are from each other}\\\\\text{We know that the balloon is 100,000 feet ABOVE sea level}\\\\\text{We also know that the submarine is 15,840 BELOW sea level}\\\\\text{To find the distance between each other, add the values, since they're}\\\text{farther apart since one's below sea level and one is above sea level}\\\\100,000+15840=115,840\\\\\boxed{\text{Answer: 115,840 feet apart }}

5 0
3 years ago
Find the measure of the exterior angle.
miss Akunina [59]

Answer:

120 degrees! (line) or 300.

Step-by-step explanation:

All lines are 180 degrees, this triangle is congruent, so all sides are 60 degrees. 180 minus 60 is 120.

If it's a measure of a 360 degree angle, using 2 lines from the triangle, then you take 60 away from 360. A circle formed with that angle at it's radius would be 300 degrees.

4 0
2 years ago
Read 2 more answers
I NEED HELP WITH THESE TWO QUESTIONS PLZ DO NOT ANSWER IF YOU CANNOT EXPLAIN THE ANSWER
Murljashka [212]

9514 1404 393

Answer:

  1. asymptotes: x=-6, x=6, y=0; zero: x=0

  2. 20 blue fish

Step-by-step explanation:

1. The vertical asymptotes are where the denominator is zero. It factors as (x-6)(x+6), so will have zeros at x=-6 and x=6.

The horizontal asymptote is at the limit when x goes to infinity. Here, the ratio of highest-degree terms is 6/x, so the value goes to zero as x gets large.

The zero is where the numerator is zero, at x=0.

In summary:

  • vertical asymptotes: x = ±6
  • horizontal asymptote: y = 0
  • zero: (0, 0)

__

2. 60% are red, so 40% are blue. The difference in percentages is 60%-40% = 20%. The percentage of blue fish (40%) is twice the difference (=2×20%), so the number of blue fish is twice the difference in numbers.

  blue fish = 2×10 = 20 fish

<em><u>Check</u></em>

There are then 20+10=30 red fish, so 20+30=50 fish total. Reds are 30/50 = 60% of the total.

<u><em>Additional comment</em></u>

I find it often works well to work with ratios, which I can often do in my head. Other folks like to see equations. Here, we could write equations like ...

  r = 60%(r + b) . . . . reds are 60% of the total

  r - b = 10 . . . . . . . . 10 more reds than blues

We want the value of b, so we can eliminate r by substituting for it:

  r = 10 + b . . . . from the second equation above

  (10 +b) = 0.60((10 +b) + b) . . . . substitute for r

  10 +b = 6 + 1.2b . . . simplify

  4 = 0.2b . . . . subtract b+6

  20 = b . . . . . . multiply by 5 (there are 20 blue fish)

6 0
3 years ago
Pythagoras was born about 582 bc. Isaac Newton was born in 1643 ad. How many years apart were they born?
malfutka [58]
B.C. counts down to 0, and that's when A.D. starts counting up. That means you can add 582 and 1643, to get their difference. Pythagoras and Newton were born 2,225 years apart.
8 0
3 years ago
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