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vesna_86 [32]
2 years ago
11

A roll of ribbon was 12 meters long. Diego cut 9 pieces of ribbon that were 0.4 meters each to tie some presents. He then used t

he remaining ribbon to make some wreaths. Each wreath required 0.6 meter.
How many meters of ribbon were available for making wreaths?

_____ meters

How many wreaths could Diego make with the available ribbon?

_______wreaths
Mathematics
2 answers:
Helen [10]2 years ago
7 0
Work and Reasoning:
We start off with 12m
Since there are 9 ribbons each 0.4 meters you have to do 9 • 0.4. Since that is 3.6m.
To find out how much ribbon you have left you must subtract the amount he used against the amount he had to begin with.
12 - 3.6 = 8.4
To find out how many wreaths he can make, you must divide the remaining amount of ribbon he has by the 0.6 meter.
8.4 divided by 0.6 is 14.

Answer:
He can make 14 wreaths with the remaining amount of ribbon.
dexar [7]2 years ago
4 0

Answer: 8.4; 14.

Step-by-step explanation:

To find how much ribbon we used to tie presents, we need to multiply 9 and 0.4.

9 x 0.4 = 3.6.

Diego used 3.6 meters of yard to tie some presents. We can subtract that from 12 to find how much ribbon we have left.

12 - 3.6 = 8.4.

We have 8.4 meters of ribbon to make wreaths.

Now we have to find how many wreaths we can make wiht 8.4 meters of ribbon. We know that each wreath needs 0.6, so we should divide 8.4 by 0.6 to find how many wreaths we can make.

8.4 ÷ 0.6 = 14.

Therefore, we can make 14 wreaths with the 8.4 meters of leftover ribbon.

(Part A's answer is 8.4, and Part B's answer is 14)

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A sample of n = 5 scores has a mean of m = 8. one new score is added to the sample and the new mean is calculated to be m = 9. w
Yuri [45]
If the 5 scores have a mean of 8, then their total sum would be 8*5 = 40

Now if one score if added (let's call this score x), there are 6 scores and the mean changes to 9, thus:
(40 + x)/6 = 9
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What is the total value in cents of x quarters, y nickels, and z pennies?
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Answer:

25x + 5y + z cents

Step-by-step explanation:

1 quarter is worth 25 cents.

1 nickel is worth 5 cents.

1 penny is worth 1 cent.

Therefore, x quarters, y nickels and x pennies will be worth:

(x * 25) + (y * 5) + (z * 1)

= 25x + 5y + z cents

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A line that is perpendicular to y=-4-10 passing through the point (8,11)
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Answer:

Step-by-step explanation:

11=4(8)+b

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2 years ago
Nick biked 5 miles when he was training for a race. How many feet did he bike?
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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

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