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Lorico [155]
2 years ago
9

Luke, Kira, and Ali each served 2/3 of their own cake. Each cake was the same size, but Luke served 4 slices, Kira served 6 slic

es, and Ali served 8 slices. How is this possible? Enter your answers in the boxes to complete the solution.
Luke cut his cake into how many slices?

Kira cut her cake into how many slices? and

Ali cut her cake into how many slices.
Mathematics
2 answers:
Tanzania [10]2 years ago
5 0
It would be 6;9;12 hope this helps
Allisa [31]2 years ago
4 0

Answer:

6; 9; 12

Step-by-step explanation:

It's possible because they cut cakes into different no. of slices

Luke: 2/3 of the cake are 4 slices

Entire cake 4/(2/3) = 4×3/2 = 6 slices

Kira: 2/3 of the cake are 6 slices

Entire cake 6/(2/3) = 6×3/2 = 9 slices

Ali: 2/3 of the cake are 8 slices

Entire cake 8/(2/3) = 8×3/2 = 12 slices

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At the start of 2014, Mike's car is worth 12000. the car depreciates by 30 percent every year. how much is his car worth in 2017
Anarel [89]

Answer:

$4,116

Step-by-step explanation:

Worth of Mike's car at the start of 2014 = $12,000

If the car is said to depreciates every year by 30% = 30/100 = 0.3

The worth of the car at the start of 2017 is what we are to determine.

This means that the car depreciated by 30% (0.3) for 3 years since 2014 (2017 - 2014 = 3 yrs)

The worth at the start of 2017 would be calculated as follows:

12,000 × (1 - 0.3)³

= 12,000 × (0.7)³

= 12,000 × 0.343

= 4,116

Worth of the car at the start of 2017 would be $4,116

4 0
2 years ago
Becky is an experienced swimmer. The table contains data on her times in the 100-meter freestyle event for each year over the pa
Sauron [17]
Correlation coefficient (r) = [nΣxy - (Σx)(Σy)] / [sqrt(nΣx^2 - (Σx)^2)sqrt(nΣy^2 - (Σy)^2)]
Σx = 21 => (Σx)^2 = 21^2 = 441
Σy = 671 => (Σy)^2 = 671^2 = 450,241
Σx^2 = 1 + 4 + 9 + 16 + 25 + 36 = 91
Σy^2 = 98^2 + 101^2 + 109^2 + 117^2 + 119^2 + 127^2 = 75,665
Σxy = 1(98) + 2(101) + 3(109) + 4(117) + 5(119) + 6(127) = 2,452
r = [6(2,452) - 21(671)] / [sqrt(6(91) - 441)sqrt(6(75,665) - 450,241)] = 621/sqrt(105)sqrt(3749) = 0.99

option b is the correct answer.
5 0
2 years ago
Chloe made a conjecture that given any two numbers, the greater number can always be arranged into more arrays.
Anna11 [10]

Solution:

Array means arrangement of numbers in terms of rows and columns.

The conjecture is not True.

So, the conjecture made by chloe that given any two numbers, the greater number can always be arranged into more arrays is not true.

For example ,

1.(2,3)

2→(2×1),(1×2)

3→(3×1),(1×3)

This pair has same number of arrays because both of them are prime.

2. (3,4)

Here, 4>3

3→ (3 × 1),(1×3)

4→(4×1),(1×4),(2×2)

The pair of numbers are Co-prime, one of them is not prime. So Composite number has more number of arrays.

4. (6,11)

6→(1×6),(6×1),(2×3),(3×2)

11→(1×11),(11×1)

The number 6 is smaller, but it has more number of arrays.

5. (6,8)

6→(1×6),(6×1),(2×3),(3×2)

9→(1×9),(9×1),(3×3)

Both the numbers are composite.Smaller number 6 has more arrays.

These examples disprove the Conjecture made by Chloe, which states that given any two numbers, the greater number can always be arranged into more arrays.



4 0
2 years ago
The number of pages that Zak, Karen, Malia, and Ali can read in a day is shown below:
weeeeeb [17]

Answer:

Malia. (pretty sure)

Step-by-step explanation:

Zak- 8.4

Karen- 7.68

Malia- 9.52

Ali- 7.2

8 0
1 year ago
Read 2 more answers
Wendy jogs a 5.5-mile route in the city with her running club once a week. She also jogs a nature trail near her home once a wee
insens350 [35]

Answer:

Wendy jogs 13.75 mile in all each week

Step-by-step explanation:

To determine how many miles Wendy jogs in all each week,

we will sum the distance she jogs in the city with her running club in a week to the distance she jogs along the nature trail near her home in a week.

The distance she jugs with her running club = 5.5 mile.

Now, we will determine the distance of the nature trail near her home.

From the question, the nature trail is 1.5 times as long as the route in the city.

Let the distance of the nature trail = x

and the distance of the route in the city be y

Hence, we can write that

x = 1.5 y

distance of the route in the city, y = 5.5 mile

∴ x = 1.5 \times 5.5

x =  8.25 miles

Hence, the nature trail is 8.25 mile

Then, the number of miles Wendy jogs in all each week is

5.5 mile + 8.25 mile = 13.75 mile

Hence, Wendy jogs 13.75 mile in all each week

5 0
2 years ago
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