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natali 33 [55]
3 years ago
15

Jessica want to slowly decrease her daily caloric intake, which is currently 2500 calories per day. She plans to decrease her ca

lorie intake by 40 calories every 2 days for the next 30 days. Determine a reasonable domain and range for this situation.
Mathematics
1 answer:
34kurt3 years ago
6 0

Answer:

domain is (0, 30)

Range is (1900, 2500)

Step-by-step explanation:

We are told that Jessica plans to decrease her calorie intake by 40 calories every 2 days for the next 30 days.

This means that the domain of this period is between 0 days to 30 days.

Thus, the domain is (0, 30)

Now,she plans decrease of 40 calories every 2 days. This amounts to an average of 20 calories a day.

Which means that in a month of 30 days, she would have decreased her daily calorie intake by; 20 × 30 = 600 calories.

Since she is currently on 2500 calories per day, it means that the new targeted daily intake is; 2500 - 600 = 1900 calories.

Thus, the range for this situation would be between 1900 calories and 2500 calories.

Range = (1900, 2500)

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Jonathan’s class has 30 boys. Of the students in his class, 60% are girls. How many girls are in Jonathan’s class?
raketka [301]

Answer:

45 girls

Step-by-step explanation:

  • Remark
  • There are only 2 choices for gender. So if the class is 60% girls, the there must be 100 - 60 = 40% for the boys.
  • But we are told that the boys are 30 in number.
  • Let x = the total number of students.

Solution

  • 40/100 * x = 30              Change the % to a decimal
  • 0.4 x = 30                       Divide both sides by 0.4
  • 0.4 x / 0.4 = 30 / 0.4      Do the division
  • x = 30/0.4
  • x = 75 students in total

Formula

Total of Boys and Girls = Number of boys + number of girls.

Givens

  • Total = 75
  • Number of boys = 30

Solution II

  • 75 = x + 30                 Subtract 30 from each side
  • 75 - 30 = x +30 - 30
  • 45 = x
  • There are 45 girls in the class.
5 0
3 years ago
Nina can ride her bike 63,360 feet in 3,400 seconds, and Sophia can ride her bike 10 miles in 1 hour. What is Nina's rate in mil
BabaBlast [244]
We know that 
3600 seconds = 1 hour
Then
3400 seconds = 3400/3600
                        = 17/18 hours
5280 feet = 1 mile
Then
63360 feet = 63360/5280 mile
                  = 12 mile
So
Distance covered by Nina in 17/18 hours = 12 mile
Then
Distance covered by Nina in 1 hour = 12/(17/18) miles
                                                         = 12.71 miles.
From the above deduction, we can conclude that the speed of Nina is 12.71 miles per hour.
Speed of Sophia is 10 miles per hour. So Nina is the girl that rides at a faster speed.
4 0
3 years ago
Read 2 more answers
Lorenzo reads at a rate of 45 words per minute. If he reads at a constant rate, how many words can he read in 6 minutes?
Reil [10]
Lorenzo can read 270 words in 6 minutes
4 0
3 years ago
Select two ratios that are equivalent to 2 : 9.
White raven [17]

Answer:

B & C

Step-by-step explanation:

2:9 can also be written as 2/9

A. 9:2 is just the reciprocal of 2:9 so it is not equivalent to it

B. 18:81 is 2×9:9×9 meaning that is equivalent to 2:9

C: 12:54 is 2×6: 9×6 so it is equivalent to 2:9

Since the two correct answers have already been found, I don't need to explain more.

Hope this helped!!!

3 0
3 years ago
Р -9/3=2<br>(this is algebra 1)​
julsineya [31]

Answer:

3 because 3-9=6 and 6/3=2

8 0
3 years ago
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