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maksim [4K]
3 years ago
10

What is the value of x if segment BC is 2x+4 and line Ac is 24

Mathematics
1 answer:
miss Akunina [59]3 years ago
5 0

<em>Greetings from Brasil</em>

Let us call the distance AB of Y (in the problem nothing is said about this dimension, so lets call of Y).

From the attached drawing we can conclude that:

AB + BC = AC

where

  AB = Y

  BC = 2X + 4

  AC = 24

then

AB + BC = AC

Y + (2X + 4) = 24

<h2>X = (20 - Y)/2</h2>

<em>In my view this question is incomplete</em>

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Frankie and Maria paid to get into the carnival, and they had to pay a certain amount per game. Frankie played 5 games and spent
Natali [406]

Answer:

It cost $8 per person to get into the carnival

Step-by-step explanation:

Let the entry cost be y

Let Cost of 1 game be x

Cost of 5 games = 5x

Cost of 12 games = 12x

Frankie played 5 games and spent $15.50 altogether.

So, 5x+y=15.50 --- A

Maria played 12 games and spent $26 altogether.

So, 12x+y=26 -- B

Plot the lines

5x+y=15.50 --- Black color

12x+y=26  --- Red color

Intersection point provides the solution

(x,y)=(1.5,8)

So, it cost $8 per person to get into the carnival

6 0
3 years ago
The prices of two ratios are in the ratio x:y
Archy [21]

Answer:

4:1

Step-by-step explanation:

x+20 : y+20 = 5 : 2

(x+20)/(y+20) = 5/2

2(x+20) = 5(y+20)

2x+40 = 5y+100

2x = 5y+60 (1)

x-5 : y-5 = 5:1

(x-5)/(y-5) = 5/1

x-5 = 5(y-5)

x-5 = 5y-25

x = 5y-20 (2)

Solve (1) & (2) simultaneously,

2(5y-20) = 5y+60

10y-40 = 5y+60

5y = 100

y = 20

x = 5y-20

x = 5(20)-20 = 100-20

x = 80

x:y

80:20

4:1

8 0
3 years ago
Read 2 more answers
Sarah saved $12.75 every week for a number of weeks, w. She received an additional $25 during the last week in which she saved m
Umnica [9.8K]

Answer:

12.75w + 25 = 114.25

w = 7

Step-by-step explanation:

since sarah is receiving 12.75 each week for a number of weeks, w (we don't know its value yet)  we know that first part of the equation: that 12.75 is the coefficient next to w. Then we have the extra 25, so we know that adding 12.75w and 25 would give us sarah's total amount, which is 114.25.

to find out what w represents, we have to solve for it. solving for w means isolating it on one side. so, what we can do first is subtract 25 from both sides. that would then make the equation:

12.75w = 89.25

now, we have only one step left to isolating w, and that's to get 12.75 on the other side somehow. since we're multiplying 12.75 with w, and we're applying additive inverse properties, meaning the opposite of what is happening to cancel it out on the side it's in, we would divide 12.75 on both sides. in the left, 12.75 would cancel out, and in the right, we would divide 89.25 by 12.75. the quotient is 7.

now there's nothing left to take out to isolate w, so we have:

w = 7

sarah saved up for 7 weeks.


3 0
3 years ago
Twenty eight slips of paper are numbered 1 through 28 and are distributed among a group of people. A random number generator is
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Answer:

Option C is the correct answer.

Step-by-step explanation:

Since a random number generator is used to select a single number between 1 and 28, inclusively;

For a fair decision to be made during the process, the number of persons in the set must be a divisor of 28.

Let's list the divisors of 28:

The divisors of 28 are {1, 2, 4, 7, 14, 28}

The only option that contains one of the divisors is option C which is 7.

5 0
3 years ago
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