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2 years ago

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Mathematics

1 answer:

nika2105 [10]2 years ago

5 0

The cost of renting a community center for x guest is given as y = 10x + 100

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

The standard linear equation is in the form:

y = mx + b

Where m is the rate of change and b is the y intercept.

Let y represent the cost of renting a community center for x guest. Hence:

y = 10x + 100

The cost of renting a community center for x guest is given as y = 10x + 100

Find out more on equation at: brainly.com/question/2972832

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Point C is on the graph of the function y = x2 – 3. Its x-coordinate is 4. Which ordered pair gives the location of point C? A.(

Scilla [17]

Answer:

B (4, 2+3)

Step-by-step explanation:

To do this you fill in x with 4 so the equation becomes y = (4)2 - 3

You then solve to y = 8 - 3

then 8 - 3 is 5.

Making the coordinates (4, 5) and in this case with the answers (4, 2+3)

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3 years ago

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Divya spends all of her free time playing with her building blocks. She owns building block sets with 333 pieces, 555 pieces, an

DiKsa [7]

Answer:

5 sets

Step-by-step explanation:

The average number of pieces per set is the ratio of the total number of pieces to the total number of sets.

Let x represent the number of 3-piece sets. Then the total number of pieces is ...

3x +5(5) +10(2) = 3x +45

The total number of sets is ...

x +5 +2 = x +7

We want the ratio of these numbers to be 5 pieces per set:

(3x +45)/(x +7) = 5

3x +45 = 5x +35 . . . . . multiply by (x+7)

10 = 2x . . . . . . . . . . subtract (3x+35)

5 = x . . . . . . . . . divide by 2

Divya owns 5 sets with 3 pieces.

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<em>Alternate solution</em>

Each 10-piece set has 5 more pieces than average, so the two of them total 10 more pieces than average.

Each 3-piece set has 2 fewer pieces than average. The total number of 3-piece sets must have a total of 10 fewer pieces than average in order to balance the excess of the 10-piece sets. That is, there must be 10/2 = 5 of the 3-piece sets to have a total lof 10 fewer pieces than average.

Altogether, the differences from average must total zero.

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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago

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3 years ago

a non-regular Pentagon has 3 sides that are the same length. the 4th side is 6 inches longer than the length shared by 3 of the

OlgaM077 [116]

Answer:

15 inches

Step-by-step explanation:

Okay, so we know a pentagon has 5 sides total. We also know that 3 of the sides are the same length, so let's assume those sides are n length.

n + n + n + _ + _ = 4ft 11in

The fourth side is an inch less than n.

n + n + n + (n - 1inch) + _ = 4ft 11in

The last side is 6inches more than n.

n + n + n + (n - 1inch) + 9n + 6inches) = 4ft 11in

Now that we have out equation, lets convert the 4ft 11in into just inches. 4ft = 4 x 12 inches (48 inches). Then add the 11inches and you get 59.

Now our equation is in terms of inches,

we can combine the 3 ns to 3n.

3n + (n-1) + (n +6) + 59

Then we combine all the ns and get 6n -1 +6 =59

Simplify to 6n +5 =59

then to 6n = 54

Then to n = 9.

Since we are looking for the longest side, you have to substitute n in for the side that would have the longest measure, n + 6.

9 + 6 = 15.

15 inches is your answer.

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3 years ago