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soldier1979 [14.2K]
3 years ago
10

A box contains 16 cherry fruit chews, 15 peach fruit chews, and 12 plum fruit chews. Which two flavors are in the ratio 5 to 4

Mathematics
1 answer:
Mila [183]3 years ago
4 0
Peaches to plums. 15 divided by 3 is 5, 12 divided by 3 is 4.
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QUESTION
Lorico [155]
1. For this item we just refer to the prompt to know the conjectures of Ernest and Denise. According to Ernest, they should swim 1 kilometer on the first week then add 0.25km every week while Denise believes that they should swim 1 kilometer on the first week then add 0.5km every week.

2. Yes, these distances make an arithmetic sequence. It's because an arithmetic sequence is defined as a group of increasing or decreasing numbers where the difference between any two consecutive numbers is constant. This just means that every number has the same interval. In the case of their schedule, this is true.

3. For this item we just follow the descriptions of Ernest's and Denise's schedule in item number 1. For Ernest, we just keep adding 0.25 from 1 kilometer until we added it thrice. For Denise, we also keep adding a number thrice but this time it's 0.5 instead of 0.25.

Ernest's Schedule: 1, 1.25, 1.5, 1.75
Denise's Schedule: 1, 1.5, 2, 2.5

4. Here we are asked to determine a formula that will describe the schedules of Ernest and Denise. In the given formula a_{n}= a_{n-1}+d, a_{n} refers to the next term in the sequence, a_{n-1} refers to the previous term, while d refers to the common difference. In the recursive formula all we need is to insert the value of d to the equations.

Ernest: a_{n}= a_{n-1}+0.25
Denise: a_{n}= a_{n-1}+0.5

5. For this item we basically do the same thing but this time we are given another formula. Our formula is in the form a_{n}= a_{1}+(n-1)d where a_{n} is still the nth term of the sequence, a_{1} is the very first time, n is the number of terms, and d is the common difference. 

Ernest: a_{n}= 1.0+0.25(n-1)
Denise: a_{n}= 1.0+0.5(n-1)

6. In this item we will just basically substitute numbers to one of the equations that we've set up in item #5. For this we need Ernest's explicit formula first. To know how far they will be swimming on week 10, the number of elements (n) must be 10.

a_{10}= 1.0+0.25(10-1)
a_{10}= 1.0+0.25(9)
a_{10}= 1.0+2.25
a_{10}= 3.25

7. Here, we just do the same thing as item #6 but this time we will consider Denise's explicit formula. Since we are also asked how far the students will be swimming on week 10, the number of elements would also be 10 and this would also be our value for n.

a_{10}= 1.0+0.5(10-1)
a_{10}= 1.0+0.5(9)
a_{10}= 1.0+4.5
a_{10}= 5.5

8. The answer for this question is obvious. You would just need to look at the 10th element in Ernest's and Denise's sequences and tell whose schedule had more than or equal to 5 as an answer. Following Ernest's schedule, you will just get 3.5 kilometers on the 10th week so it's definitely a no. Denise's schedule, on the other hand, would get you to 5.5 kilometers on week 10 so her training schedule should be followed.
7 0
3 years ago
What is the equation in a point-slope form of the line that passes through the point (-8, 5) and has a slope of 12?
Anton [14]

Answer:

y-5=12(x+8)

Step-by-step explanation:


4 0
3 years ago
The graph of which function has an axis of symmetry at x = 3? f(x) = x2 3x 1 or f(x) = x2 – 3x – 3 or f(x) = x2 6x 3 or f(x) = x
Wittaler [7]
For
ax^2+bx+c
the axis of symmetry is -b/2a


first one
-3/2=3, nope

2nd one
3/2=3? nope

3rd one
-6/2=3? nope

fourth
6/2=3? yes
answer is last one or
f(x)=x^2-6x-1
6 0
3 years ago
Read 2 more answers
This liberal arts college has/A decided requiring/B all students to study/C at least one/D non-Europeanlanguage. No error/E
zhuklara [117]

<u>This</u><u> liberal arts college</u><u> has </u><u>all students</u><u> to study.</u>

<u />

The correct option is B.

What Is a Liberal Arts College?

  • While many colleges and universities grant liberal arts degrees, a liberal arts college offers a focused liberal arts education.
  • These colleges generally emphasize small class sizes and a curriculum centered on the humanities, arts, social sciences, and natural sciences.

What's the difference between a liberal arts college and a regular college?

  • Most liberal arts colleges do not offer graduate school programs, unlike other universities.
  • They also tend to have small campuses and class sizes; in fact, many classes have fewer than 20 students.
  • Evans says some students find comfort in the sense of community that these more intimate settings can create.

Learn more about Liberal Arts College

brainly.com/question/17546886

#SPJ4

7 0
1 year ago
What two numbers multiply to -36 and add up to -9
Softa [21]

Answer:

-12,3

Step-by-step explanation:

-12×3=-36

-12+3=-9

3 0
2 years ago
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