Benito has 42 orange juice boxes and 36 grape juice boxes. If Benito gives each friend an equal number of each type of juice box, what is the greatest number of friends with whom he can share juice boxes?

Answers

Answer 1

Answer: To find the answer for this question,you need to find the highest common factor for both 42 and 36,and the factors are 1,2,3,and 6. The highest number in that group is 6 so Benito can share the juice boxes to 6 friends.

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a horse's heart beats 440 times in 10 minutes. A cow's heart bears 390 times in 6 minutes. which animal has a greater heart rate?

Answers

Answer:

The cow has a greater heart rate than the horse.

Step-by-step explanation:

The question demand we calculate the heart beat of each animal in relation to time . The number of heart beat per unit time can be computed as follows .

The horse heart rate is 440 heart beat in 10 minutes . The heart rate can be simplified as

Rate = 440/10

Rate = 44 heart beat per minute

The cow heart rate can be simplified as

Rate = 390/6

Rate = 65 heart beat per minute

From the Heart rate calculated above the cow has a higher heart rate than the horse.

390 ÷ 6 = 65

440 ÷ 10 = 44

The cow has a greater heart rate.

What is 4 3/4 - 2 2/3

Answers

You have to make the fractions an improper fraction. For 4 3/4 first multiply 4x4 which is 16 then 16+3 which is 19/4. For 2 2/3 multiply 3x2 which is 6 then 6+2 which is 8/3. Now make 19/4 and 8/3 denominators same. 19/4 becomes 57/12 by multiplying 19x3 which is 57 and 4x3 which is 12. 8/3 becomes 32/12 by multiplying 8x4 which is 32 and 3x4 which is 12. Then add 57/12+32/12 which is 89/12. Now make 89/12 into a mixed number. The mixed number is 7 5/12.

Hope that helped:)

4 3/4 - 2 2/3

(4 - 2) 3/4 - 2/3

2    3/4 - 2/3. LCM of 3 and 4 is 12.

   (3/4)*(12/12) - (2/3)*(12/12) = 9/12 - 8/12 = (9 - 8) / 12 = 1/12

2    3/4 - 2/3.

2 1/12

2 whole numbers    1/12.

What is the reciprocal of
15/4 .... is there one?

Answers

The reciprocal of 15/4 is 4/15

for any number $x$ the reciprocal is given by $(1)/(x)$

The given number here is $(15)/(4)$

Hence the reciprocal is given by $(1)/((15)/(4) )$

which is equal to $(4)/(15)$ .

For more information follow the link given below:

brainly.com/question/21977279

The reciprocal of a fraction is basically the fraction flipped. The reciprocal of 15/4 would be 4/15.

Answer: 4/15

18. In their last basketball game, Holly scored25 points and Juanita scored 16 points. The
mean number of points Holly scores is 20 with
a standard deviation of 2. The mean number
of points Juanita scores is 12 with a standard
deviation of 1.25. Whose score is better relative
to her average number of points per game?

Answers

Answer:

Juanita's score was better

Step-by-step explanation:

Juanita scored 6.4 points above her average score whereas Holly only scored 2.5 points above her average score. (this was calculated via z-scores)

Final answer:

To find who performed better relative to their average, we calculated the z-scores of both players. Juanita's score was 3.2 standard deviations above her mean, whereas Holly's was 2.5 standard deviations above her mean, making Juanita's performance relatively better.

Explanation:

To answer this question, we need to find how many standard deviations each player's score deviates from their respective means. This is referred to as the z-score. The z-score is calculated using the formula (X - μ) / σ, where X is the score, μ is the mean score and σ is the standard deviation.

For Holly, her z-score would be (25 - 20) / 2 = 2.5. This means Holly's score was 2.5 standard deviations above her mean score.

For Juanita, her z-score would be (16 - 12) / 1.25 = 3.2. This means Juanita's score was 3.2 standard deviations above her mean score.

Since Juanita's z-score is higher than Holly's, Juanita's score is better relative to her average number of points per game.

Learn more about Z-score here:

brainly.com/question/15016913

#SPJ2

The sketch of this crayon represents an irregular polygon. Find the area of the figure.

Answers

The area of the irregular polygon in the sketch is: D. 40.5 cm².

What is the Area of an Irregular Polygon?

To find the area of an irregular polygon, decompose the polygon into known shapes. Find the area of each shape and add all together.

Thus:

The irregular polygon is made up of a rectangle and a triangle.

Area of the irregular polygon = area of rectangle + area of triangle.

= length × width + 1/2(base × height)

Length = 12.5 cm

Width = 3 cm

Base = 3 cm

Height = 2 cm

Area of the irregular polygon = 12.5 × 3 + 1/2(3 × 2)

= 40.5 cm²

Learn more about area of irregular polygon on:

brainly.com/question/2590710

Answer:

The answer is 40.5 (D)

The table represents a linear equation. Which equation correctly uses point (–2, –6) to write the equation of this line in point-slope form? y – 6 = (x – 2) y – 6 = (x – 2) y + 6 = (x + 2) y + 6 = (x + 2)