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den301095 [7]
3 years ago
8

7. During the Middle Ages, people often used grains, scruples, and drahms to measure the weights of different medicines. If 120

grains are equivalent to 6 scruples and 6 scruples are equivalent to 2 drahms,
how many drahms are equivalent to 300 grains? Explain your reasoning. If you get stuck, try creating a table.

Mathematics
1 answer:
Serjik [45]3 years ago
5 0

Answer:

5 drahms.

Step-by-step explanation:

From the question given above, the following data were obtained:

120 grains = 6 scruples

6 scruples = 2 drahms

300 grains (in drahms) =..?

From the above data,

120 grains = 6 scruples

6 scruples = 2 drahms

Therefore,

120 grains = 2 drahms

Thus, we can obtain 300 grains in drahms as follow:

120 grains = 2 drahms

Therefore,

300 grains = 300 grains × 2 drahms /120 grains

300 grains = (300 × 2)/120 drahms

300 grains = 5 drahms

Therefore, 300 grains is equivalent to 5 drahms.

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Define equation. Give an example of two equivalent equations.
mario62 [17]
A statement that has mathematical expressions that are equal.
Examples:
2+1=3
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8 0
3 years ago
75% of the temperatures are below what value? How do you know? 75% of the temperatures are above what value? How do you know? Wh
Savatey [412]

Answer:

Complete Question:

Pick a city in Maryland and determine the average high temperatures for each month. Record this in a table.

a. Create a box-and-whisker plot for the data.

b. What is the median temperature?

c. 75%of the temperatures are below what value?How  do you know? d. 75% of the temperatures are above what value? How do you know? e. What conclusions can you draw about the temperature in Maryland?

Step-by-step explanation:

TASK 3

The city picked is Baltimore, the year 2017.

The table is attached in picture #1.

a) The box-and-whisker plot is attached in picture #2.

b) The median is the central value of the distribution i.e:  

42.4, 45.3, 46.8 | 54.7, 57.6, 66.0 | 69.1,  76.5,  80.6 | 85.8, 87.8, 90.0 

where we marked with a tally the quartiles.

As we have 12 values,  the average between the two central values will be the median :

M = (66.0 + 69.1) / 2 = 67.1 °F

c) 75% of the temperatures are below 83.2 °F.

Indeed, this value represents the third quartile. The position of the third quartile can be found by the formula:

3/4 · (n + 1) = 3/4 · (12 + 1) = 3/4 · 13 = 9.75

Therefore, since we did not get in integer position, the third quartile will be the average between the numbers in position 9 and 10:

q₀.₇₅ = (80.6 + 85.8) / 2 = 83.2 °F

d) 75% of the temperatures are above 50.8 °F.

Indeed, this value represents the first quartile. Similarly to point c), the position can be found by the formula:

1/4 · (n + 1) = 1/4 · 13 = 3.25

And therefore:

q₀.₂₅ = (46.8 + 54.7) / 2 = 50.8 °F. 

e) Baltimore in 2017 had a median high temperature of 67.1 °F.

25% of the year the high temperatures were warmer than 83.2 °F, with no outlier above 90.0 °F which was the hottest temperature.

25% of the high temperatures were colder than 50.8 °F, with no outlier below 42.4 °F, which was the coldest high temperature.

6 0
3 years ago
on a certain day $1 is worth 30.23 Russian rubles Omar has $75 how many rubles will he get in exchange
Talja [164]
75 x 30.23= 2,267.25
8 0
3 years ago
Pam bought 20 pieces of fruit for her class.
Maksim231197 [3]

Answer:

Step-by-step explanation:

Let O=number of oranges and A=number of apples.

O+A=20

O=20-A

1.25A+0.95O=22.60, using O found above makes this become

1.25A+0.95(20-A)=22.60

1.25A+19-0.95A=22.60

0.3A+19=22.60

0.3A=3.6

A=12, since O=20-A

O=20-12

O=8

So she bought 8 oranges and 12 apples. The question really only asks for the number of apples bought.

12 apples were bought.

7 0
2 years ago
Read 2 more answers
I NEED HELP ASAP!!!! PLEASE HELP!!!
IRISSAK [1]

Answer:

y= 2x-3  m=2 b= -3

Step-by-step explanation:

we distribute 2(x-2)

y-1 = 2(x-2)

y-1 = 2x-4

then add one to both sides

y-1= 2x -4

 +1       +1

since it is negative four and you are adding one it would be -3

y= 2x -3  that is your slope intercept form.

y= mx +b  so m=2 and b= -3

6 0
2 years ago
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