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stepladder [879]
3 years ago
11

Your class hopes to collect at least 325 cans of food for the annual food drive. There were 132 cans donated the first week and

146 more the second week. a. Write an inequality that describes this situation. Let c represent the number of cans of food that must be collected by the end of the third week for your class to meet or surpass your goal. b. How many cans are needed to meet or surpass your goal? 132 + 146 + c > 325; c > 47 132 + 146 + c ≥ 325; c ≥ 47 132 + 146 + c ≥ 325; c ≤ 603 132 + 146 + 325 ≥ c; c ≥ 603
Mathematics
1 answer:
beks73 [17]3 years ago
4 0
132 + 146 + c should be greater than or equal to 325, and c should be greater than or equal to 47.
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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
2 years ago
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trapecia [35]

226 should be the median of the wages.

5 0
2 years ago
If the area of the triangle is 10cm^2, what is the missing height?
Inga [223]

Answer:

h= 4

Step-by-step explanation:

A= 1/2(b)(h)

10= 1/2(5)(h)

10= 2.5h

/2.5 /2.5

h= 4

5 0
3 years ago
Read 2 more answers
Solve for x:<br> 3x – 2(6 - x) = 7x + 2(5 + x) – 6
MAVERICK [17]

Answer:

-4

Step-by-step explanation:

3x-2(6-x)=7x+2(5+x)-6

First, distribute.

3x+ −12+ 2x = 7x + 10 + 2x −6

Combine like terms on each side.

5x − 12= 9x + 4

To solve for x, pick a side to solve. I will solve the right x.

5x - 12 = 9x + 4

-5x         -5x

-12 = 4x + 4

Subtract 4 to isolate the variable.

-16 = 4x

Divide 4.

-4 = x

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2 years ago
If p:q = 34 :2 and p:r = 13 : 12, find the ratio of p:q:r​
kondor19780726 [428]

Answer:

p:q:r = ?

p:q = 13/2

p:r = 34/12

= 17/6

p:q:r = 221:34:78

Step-by-step explanation:

3 0
3 years ago
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