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Oduvanchick [21]

4 years ago

10

Juan's company spent $ 2,350 on an event.They spent about $2,500 on food and about $900 on entertainment.What could the actual c

ost of the food and entertainment be. show your work.

1 answer:

kodGreya [7K]4 years ago

7 0

The highest amount it could be is 2,499 + 899= 3,898 which could be rounded to 3,900

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Write the sum using summation notation, assuming the suggested pattern continues. -9 - 4 + 1 + 6 + ... + 66

Ipatiy [6.2K]

Answer:

Summation notation is:

$\sum_{n=1}^{16}[5(x-1)-9]$

If you prefer it a little more simplified:

$\sum_{n=1}^{16}(5x-14)$

Step-by-step explanation:

First my favorite part, finding a pattern between the consecutive terms.

This is an arithmetic series because the terms are going up by 5 each time.

So arithmetic sequence, think linear equations:

x | y

1 -9

2 -4

3 1

4 6

..................

n 66

We are going to have to find that n but will will eventually...

The equation for a line in point slope form is $y-y_1=m(x_x_1)$ where $(x_1,y_1)$ is a point on the line and m is the slope.

We are already have the slope is 5 (the slope is the common difference in arithmetic sequence).

I'm going to use the first point (1,-9).

So the equation in point slope form is $y-(-9)=5(x-1)$

Subtract 9 on both sides:

$y=5(x-1)-9$

Now we need to know how many terms we are adding so what is x if y=66.

$66=5(x-1)-9$

Add 9 on both sides:

$75=5(x-1)$

Divide both sides by 5:

$15=x-1$

Add 1 on both sides:

$16=x$

We have 16 terms in this sequence where the 16th term is 66.

Summation notation is:

$\sum_{n=1}^{16}[5(x-1)-9]$

You could simplify the 5(x-1)-9.

Distribute: 5x-5-9

Add like terms: 5x-14

3 0

3 years ago

Read 2 more answers

A potted tree weighs 21 pounds. The pot weighs 3 pounds. If w represents the weight of the tree without the pot, write an equati

masha68 [24]

W = 21 - 3
weight of the tree = 21 pounds - 3 pounds

8 0

3 years ago

You have 25 feet of yarn. it takes 8 inches of yarn to wrap around the can. how many times can you wrap the yarn around the can?

Sophie [7]

You can wrap it around 37 times and you will have 4 inches leftover.

7 0

3 years ago

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Neil has 3 partially full cans of white paint.They contain 1/3 gallon, 1/5, gallon, and 1/2, gallons of paint About how much pai

stepan [7]

Answer:

1 and 1/30 gallons

Step-by-step explanation:

First, convert all the fractions to a common denominator. I'm choosing 30.

1/3=10/30 1/5=6/30 1/2=15/30

Now, you can add them together to get 31/30, so a little more than a gallon

7 0

3 years ago

Please help me I do not understand :(

kvv77 [185]

Answer:

Step-by-step explanation:

1. trapezoid

2. no not possible lol how do you even do that lol a square has only 90 degree angles and then an obtuse angle pops in no doesn't happen

3. yes just draw two random right angles and then make them intersect lol

4. rectangle, perimeter of 30

5. no

4 0

3 years ago

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