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2 years ago

Each pair of figures is similar. Find the missing side.

Mathematics

1 answer:

Kaylis [27]2 years ago

3 0

Step-by-step explanation:

Similar figures have same ratio of corresponding sides.

Set up ratios and solve for x.

x / 54 = 6 / 36
x / 54 = 1/6
x = 54/6
x = 9

x / 4 = 99 / 11
x / 4 = 9
x = 4*9
x = 36

x / 10 = 6 / 60
x / 10 = 1/6
x = 10/6
x = 5/3

x / 4 = 28 / 7
x / 4 = 4
x = 4*4
x = 16

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you take a group of 20 people going to the movies. kids’ tickets cost $4 each, and adults tickets $6 each. your total cost is $9

brilliants [131]

The number of kids in your group is 12.

Step-by-step explanation:

Given,

Number of people = 20

Cost of each kid ticket = $4

Cost of each adult ticket = $6

Total spent = $96

Let,

x be the number of kids ticket

y be the number of adult ticket

According to given statement;

x+y=20 Eqn 1

4x+6y=96 Eqn 2

Multiplying Eqn 1 by 4

$4(x+y=20)\\4x+4y=80\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(4x+6y)-(4x+4y)=96-80\\4x+6y-4x-4y=16\\2y=16$

Dividing both sides by 2

$\frac{2y}{2}=\frac{16}{2}\\y=8$

Putting y=8 in Eqn 1

$x+8=20\\x=20-8\\x=12$

The number of kids in your group is 12.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

5 0

3 years ago

A professor has recorded exam grades for 10 students in his class, but one of the grades is no longer readable. If the mean sco

Nostrana [21]

Answer:

unreadable score = 35

Step-by-step explanation:

We are trying to find the score of one exam that is no longer readable, let's give that score the name "x". we can also give the addition of the rest of 9 readable s scores the letter "R".

There are two things we know, and for which we are going to create equations containing the unknowns "x", and "R":

1) The mean score of ALL exams (including the unreadable one) is 80

so the equation to represent this statement is:

mean of ALL exams = 80

By writing the mean of ALL scores (as the total of all scores added including "x") we can re-write the equation as:

$\frac{R+x}{10} =80$

since the mean is the addition of all values divided the total number of exams.

in a similar way we can write what the mean of just the readable exams is:

$\frac{R}{9} = 85\\$ (notice that this time we don't include the grade x in the addition, and we divide by 9 instead of 10 because only 9 exams are being considered for this mean.

Based on the equation above, we can find what "R" is by multiplying both sides by 9:

$\frac{R}{9} = 85\\R=85*9= 765$

Therefore we can now use this value of R in the very first equation we created, and solve for "x":

$\frac{R+x}{10} =80\\\frac{765+x}{10} =80\\765+x=80*10=800\\765+x=800\\x=800-765=35$

4 0

3 years ago

3/4 (x-16) -5=15 solve for x

sergey [27]

3/4x-12-5=15
3/4x-17=15
3x-68=60
3x=60+68
3x=128
X=128/3

6 0

3 years ago

Find the missing term and the missing coefficient of the following equation: (6a −______)5a =______a^2 − 35a

sergiy2304 [10]

The missing term in the left side of the equation is 7. Therefore:

(6a-7)5a

On the other hand, the missing coefficient in the right side of the equation is 30. Therefore,

30a^2 - 35a

Combining the left and right sides of the equation:

(6a-7)5a = 30a^2-35a

I hope my answer has come to your help. Thank you for posting your question here in Brainly.

5 0

3 years ago

Read 2 more answers

People are motivated to attend Arena football games instead of NFL games because of the affordable ticket prices

sammy [17]

True correct me if i’m wrong.

6 0

2 years ago