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patriot [66]
3 years ago
13

PLEASE HELP !!!! SYSTEMS OF EQUATIONS

Mathematics
1 answer:
jekas [21]3 years ago
4 0

Answer:

Maddie got 810 votes

Step-by-step explanation:

We'll call Maddie's votes x, and her opponent's votes y.

x + y = 1485

x = y + 0.20y (because she got the same number of votes as her opponent, PLUS another 20% of that number. Divide 20% by 100 to get the decimal equivalent) This can also be written as x = 1.2y

So our system is

x + y = 1485   and

x = 1.2y

Substitute the second equation's value for x into the first equation:

1.2y + y = 1485 then solve for y

2.2y = 1485

divide both sides by 2.2

y = 675

substitute that in and solve for x

x + y =1485

x + 675 = 1485

subtract 675 from both sides

x = 810

Please let me know if you have questions on this answer. Hope it helps.

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I need help with this question please help!
Nonamiya [84]
.60 because there's 5 spots and 3 are odd so 3/5 is also equivalent to 60 percent? sorry if wrong!
8 0
3 years ago
A plane flying over the ocean is on course to land on an aircraft carrier. The diagonal distance between the plane and the aircr
fomenos

Answer:

the plane's current height above the ocean is 3.42 miles

Step-by-step explanation:

Given that the diagonal distance between the plane and the aircraft carrier is 10 miles.

What we need to find is the vertical distance between the plane and the aircraft carrier which is the plane's current height above the ocean. This can be gotten using sine rule.  

For sine rule, you need a side and its opposite angle. For this question the triangle formed is a right angle triangle with diagonal distance, vertical distance and horizontal distance.

let a = diagonal distance = 10 miles

let the opposite angle to the diagonal distance be A = 90° (right angle)

let the vertical distance = b

let the opposite angle to the vertical distance be B = 20°

Sine rule states that    \frac{a}{sin(A)}  =  \frac{b}{sin(B)}

∴   \frac{10}{sin(90)}  =  \frac{b}{sin(20)}

b  =  sin(20)\frac{10}{sin(90)}

b  =  0.342*\frac{10}{1}

⇒ b = 3.42 miles

Therefore the plane's current height above the ocean is 3.42 miles

4 0
3 years ago
How do you separate money?
pochemuha
Well you separate it into different stacks
5 0
3 years ago
Last month, he sold 505050 chickens and 303030 ducks for \$550$550dollar sign, 550. This month, he sold 444444 chickens and 3636
Nostrana [21]

Answer: the cost of one chicken is $8

The cost of one duck is $5

Step-by-step explanation:

Let x represent the cost of one chicken.

Let y represent the cost of one duck.

Last month, he sold 50 chickens and 30 ducks for $550. It means that

50x + 30y = 550- - - - - - - - - - - 1

This month, he sold 44 chickens and 36 ducks for $532. It means that

44x + 36y = 532- - - - - - - - - - - 2

Multiplying equation 1 by 44 and equation 2 by 50, it becomes

2200x + 1320y = 24200

2200x + 1800y = 26600

Subtracting, it becomes

- 480y = - 2400

y = - 2400/- 480

y = 5

Substituting y = 5 Intl equation 1, it becomes

50x + 30 × 5 = 550

50x + 150 = 550

50x = 550 - 150

50x = 400

x = 400/50

x = 8

3 0
3 years ago
Read 2 more answers
the tickets are 90 dollars in all adults 7 kids 12 kids are 2/3 cost of adults tickets. What is the cost of the adult tickets
svetoff [14.1K]
I hope it helps. .........

3 0
3 years ago
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