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Papessa [141]
2 years ago
9

How much time has passed? Start time: 1:18 a.m. End time: 3:09 a.m.​

Mathematics
1 answer:
Vedmedyk [2.9K]2 years ago
6 0

Answer:

1 hour and 51 minutes

Step-by-step explanation:

Find the difference between the time.

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A dentist is making identical dental care bags for patients using 56 tubes of toothpaste, 112 packets of floss, and 85 toothbrus
marin [14]

Answer : Greatest number of identical dental care bags the dentist can make with the least items leftover is 1.

Number of bags will be 2,4,3 respectively.

Explanation:

Number of tubes of toothpaste = 56

Number of packets of floss = 112

Number of toothbrushes = 85

So, Greatest number of identical dental care bags the dentist can make with the least amount of items leftover from toothbrush  = H.C.F of 56,112, 85=   1   ( ∵ as they are coprime to each other )

Since there is no common factor among 56,112,85 but there is common factor between 56 and 112 i.e. 56 remaining bags from toothbrushes will be 85-56=29 .

So we consider 28 ,

Now, 56 can be written as 28×2

112 can be written as  28×4 and

84 can be written as 28× 3

So, there can be 28 bags in which all the three materials can be present  and there is no leftover from toothpaste and floss but there is leftover from toothbrushes only as we consider 84 instead of 85 to get divisible by 28 so we get the common factor easily.

so, there will be 2 two bags for toothpastes and 4 bags for floss and 3 bags for toothbrushes.

8 0
3 years ago
Miguel made 80 on his Math test. He made 95 in last week's Math test. What is the percent of change on his scores? (Round your
storchak [24]

Answer:

15.78 %

Step-by-step explanation:

It is given that,

Miguel made 80 on his Math test. He made 95 in last week's Math test.

We need to find the percent change on his scores. It can be calculated as follows :

\%=\dfrac{\text{original score-initial score}}{\text{original socre}}}\times 100\\\\\%=\dfrac{95-80}{95}\times 100\\\\\%=15.78\%

So, there is a percent change of 15.78%.

4 0
3 years ago
In 10 years, a bank account with a 5.25% annual interest rate earned $18,375 as simple interest. What was the principal amount?
sdas [7]

Answer:

The principal amont was $35,000

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

In this problem, we have that:

E = 18375, t = 10, I = 0.0525

We want to find P. So

E = P*I*t

18375 = P*0.0525*10

0.525P = 18375

P = \frac{18375}{0.525}

P = 35000

The principal amont was $35,000

5 0
3 years ago
The cone-shaped container for the echidna treats holds to 218 cubic centimeters of ants and has a radius of 4 cm. rounded to the
Tems11 [23]

Answer:

13 cm

Step-by-step explanation:

To find the answer, you can use the formula to calculate the volume of a cone and isolate the height:

V= πr^2\frac{h}{3}

V= volume= 218 cubic centimeters

π= 3.14

r= radius= 4 cm

h=height

218= 3.14*4^2*\frac{h}{3}

218*3=3.14*16*h

654=50.24*h

h=654/50.24

h=13

According to this, the height of the container is 13 cm.

5 0
4 years ago
Kendra types 72 words per minute. At this rate, how long will it take Kendra to complete a letter of 900 words?
riadik2000 [5.3K]

900 ÷ 72 = 12.5 minutes

Thus the correct answer is option A .

7 0
3 years ago
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