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2 years ago

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ircle A has center of (6, 7), and a radius of 4 and circle B has a center of (2, 4), and a radius of 16. What steps will help sh

ow that circle A is similar to circle B? (

1 answer:

goldenfox [79]2 years ago

4 0

Answer:

ggggjgfdvhgffgutddfgj

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A group of 28 people go to an amusement park. The admission fee for adults is $12. The admission fee for children is $10. The gr

Mademuasel [1]

Step 1: We need to assign variable for the unknown that we need to find.

Let x be the number of adults in the group who went to an amusement park

and y be the number of children in the group who went to an amusement park.

Step 2: Based on the given statement we need to write mathematical equation.

Statement 1: " group of 28 people go to an amusement park."

Based on the above statement we can write the first equation

x + y = 28 ⇒ 1st Equation

Statement 2: "The admission fee for adults is $12. The admission fee for children is $10. The group spent $296 to get into the park. "

1 adult spent $12 as fee, so ' x ' adults will spend 12x dollars as fee

1 child spent $10 as fee, so ' y ' children will spend 10y dollars as fee.

Totally the group spent $296 to get into the park, so that second equation can be written as

12x + 10y = 296 ⇒ 2nd Equation

Step 3: Solve the equation using substitution method.

Solve the 1st equation for y by subtracting x on both sides, we get y = 28 - x

Then substituting 28 - x for y in the 2nd equation, we get the below equation with one variable (x).

12x + 10(28 - x) = 296 {Distribute 10}

12x + 280 - 10x = 296 {combine like terms}

2x + 280 = 296 {Subtract 280 on both sides of the equation}

2x + 280 - 280 = 296 - 280 {Combine like terms in either side of the equation}

2x = 16 {Divide by 2 on both sides}

2x/2 = 16/2 {Simplify the fractions on both sides}

x = 8.

Substitute 8 for x in the equation x + y = 28 and find the value of y

8 + y = 28 {Subtraction 8 on both sides}

8 + y - 8 = 28 - 8 {Combining like terms}

y = 20

Conclusion:

There were 8 adults and 20 Children in the group who went to an amusement park.

5 0

3 years ago

You buy a veido game for $60 and the sales tax is 8% what is the total cost for the game including the sales tax

Keith_Richards [23]

8% of 60 = 4.8
total = 60 + 4.8
= 64.8

5 0

3 years ago

Which graph shows the solution to the equation below? log Subscript 3 Baseline (x + 3) = log Subscript 0.3 (x minus 1) On a coor

Effectus [21]

Answer:

On a coordinate plane, 2 curves intersect at (1, 1). One curve curves up and to the right from quadrant 3 into quadrant 1. The other curve curves down from quadrant 1 into quadrant 4

Step-by-step explanation:

The first function is given as:

$log_3(x+3)$

The second function is given as:

$log_{0.3}(x-1)$

First we graph both the functions.

We can see that one curves up and to the right from quadrant 3 into quadrant 1. This curve is of $log_3(x+3)$

The other curve curves down from quadrant 1 into quadrant 3

Both curves interest almost at (1,1)

See the graph attached below

Blue line represents first function

Green line represents second function

The solution lies on the Red line.

8 0

3 years ago

Read 2 more answers

Suppose you toss a coin 100 times and get 59 heads and 41 tails. based on these results, what is the probability that the next

Liono4ka [1.6K]

The probability is 59/100

3 0

3 years ago

The tape diagram below represents 100\%100%100, percent.

elena-s [515]

Answer:

75 %

Step-by-step explanation:

100/4=25

25x3=75

6 0

3 years ago