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BlackZzzverrR [31]
3 years ago
7

Pre cal application: arithmetic and geometric sequences and series 1. a display of cans on a grocery store consists of 20 cans o

n the bottom ,18 cans in the next row and so on in an arithmetic sequence, until the top has 4 cans. how many cans in total are in the display
Mathematics
1 answer:
Paha777 [63]3 years ago
8 0
This sequence starts with an initial set; let’s call it s1. This set contains 20 cans, and every set following would have two less cans than the last set. So,

s1=20
s2=s1-2=18
s3=s2-2=16
•
•
•
s9=s8-2=4

How many cans in the display represents the value of each set added together, so we can denote this as

s1+s2+s3+...+s9

and replacing with values:

20+18+16+...+4 = 108

The number of cans in the display equals 108.

(The set notation seems weird, but by practicing this application now, the Calculus version will seem easier.)
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Reduce To Simplest Form.<br><br>2/2 + 1.75 - 44/25 =​
Soloha48 [4]

Answer/Step-by-step explanation:

First, we should make each fraction, decimal, whole number into fraction and number form.

So, 2/2 = 1.

1.75 is 1 3/4.

44/25 is 1 19/25.

Now we have our equation, now we can do this equation easier.

1 + 1 3/4 - 1 19/25.

1 + 1 3/4 = 2 3/4.

Then, we turn both numbers to Decimal Form.

2 3/4 = 2.75

1 19/25 = 1.76.

When we divide 19 by 25, we get 0.76.

Then we subtract the decimals.

We should start right and end left.

5 - 6 = -1, we need to borrow one from the closest digit to the left, which is 7. Now we have 15 - 6 = 9.

Next, we have 6 - 7 = -1, we need to borrow one from the closest digit to the left, which is 2. Now we have 16 - 7 = 9.

Our answer right now is 0.99.

Lastly, 1 - 1 = 0.

Which leaves us with the answer: 0.99 (Zero and Ninety Nine Hundredths.)

Best of Luck to you.

If you have any questions, feel free to comment below.

5 0
3 years ago
The two rectangles below are similar. What is the measurement of the missing side of the rectangle?
r-ruslan [8.4K]
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You would divide 45 mm/15mm to get 3. Multiply 3 by 27 to get 81 mm.
5 0
3 years ago
Hip hop music makes up 75% of Landon's music library. If he has downloaded 120 hip hop songs, how many songs does Landon have in
Otrada [13]

Answer: 160 songs.

Step-by-step explanation:

<em>75% hip hop music   -    120 songs </em>

<em>100% all music          -     x songs </em>

<em>Let's write the proportion:</em>

<em />\dfrac{120}{75} =\dfrac{x}{100} \\\\75x=120 \cdot 100\\75x=12000\\75x : 75 = 12000 : 75\\x = 160<em />

<em>Thus, Landon have 160 songs in his music library.</em>

4 0
3 years ago
TIMER !! HELP!!
Anvisha [2.4K]

Answer:

A

Step-by-step explanation:

The vertex of a parabola lies on the axis of symmetry.

8 0
2 years ago
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kogti [31]
So there are 8 counters out of 20 which are yellow. so that is 8/20 which is simplified to 2/5
so the answer is 2/5
3 0
3 years ago
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