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enyata [817]
3 years ago
6

Prove that given an unlimited supply of 6-cent coins, 10-cent coins, and 15-cent coins, one can make any amount of change larger

than 29 cents.
Mathematics
1 answer:
Andre45 [30]3 years ago
4 0

30¢ = 2×15¢

31¢ = 15¢ +10¢ +6¢

32¢ = 2×10¢ +2×6¢

33¢ = 15¢ +3×6¢

34¢ = 10¢ +4×6¢

35¢ = 15¢ +2×10¢

From this 6¢ range, any subsequent values can be reached by adding multiples of 6¢ to these numbers. For example, 36¢ = 2×15¢ +6¢.

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rewona [7]

Answer:

Step-by-step explanation:

3)A fence is made up of eight 8 5/7-foot sections. This means the total number of feet's is 8 × 8 5/7. Expressing 8 5/7 as improper fraction, it will be 61/7 feet's

The total length of the fence =

8 × 61/7 = 488/7 feet's

Expressing as mixed fraction, it becomes

69 5/7 feets

4) Cynthia spent 3/4 of her time at the gym on the stair machine. She spent a total of 21 3/4 minutes on the stair machine. This means that the time she spent on the gym is 3/4 × 21 3/4 .

Converting 21 3/4 to improper fraction, it becomes 87/4

The time she spent on the gym

= 3/4 × 87/4 = 261/16

= 16 5/16 minutes

5) On Monday, Ryan jogged 1 ½ miles in ¼ hour. On Wednesday he jogged 2 1/3 miles in 1/3 hour. Converting to improper fractions,

the miles ran on Monday= 1 ½ miles = 3/2 miles

the miles jogged on wednesday = 2 1/3 miles = 7/3 miles

How much farther did Ryan jog on Wednesday than on Monday? This would be 7/3 - 3/2

= 5/6 miles

6) One requires 2/3 cup of flour, another requires 7/8 cup of flour, and the third require 3/4 cup of flour.

Total amount of flour that Josh will use is

2/3 +7/8 +3/4 = (16+21+18)/24

= 55/25 = 2 7/25 cups of flour

5 0
3 years ago
Lola bought x pencils that cost $0.25 each and y erasers that cost $0.50. She spent less than $3. Which graph represents Lola’s
Furkat [3]
One question: Where is the graphs?
6 0
3 years ago
Identify the segment bisector of MN Then find MN.<br> ????????? Helppp pleaseee
enot [183]

Given:

The figure.

To find:

The segment bisector of MN and value of MN.

Solution:

From the given figure it is clear that ray RP,i.e., \overrightarrow {RP} is the segment bisector of MN because it divides segment MN in two equal parts.

Now,

3\dfrac{5}{6}=\dfrac{3\times 6+5}{6}

3\dfrac{5}{6}=\dfrac{23}{6}

Since, \overrightarrow {RP} is the segment bisector of MN, therefore,

MN=2\times \dfrac{23}{6}

MN=\dfrac{23}{3}

MN=7\dfrac{2}{3}

Therefore, the length of MN is 7\dfrac{2}{3}.

6 0
3 years ago
Write the word sentence as an equation. Then solve the equation. A number $k$ increased by 7 is 34. An equation that represents
Monica [59]

Answer: k = 27

Step-by-step explanation:

Here's the complete question:

Write the word sentence as an equation. Then solve the equation. A number k increased by 7 is 34.

An increase in k simply means that there's an addition. This will be:

k + 7 = 34

k = 34 - 7

k = 27

Therefore, the value of k is 27

5 0
2 years ago
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maks197457 [2]

Answer:I think its c

Step-by-step explanation:

3 0
3 years ago
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