Choose the appropriate algebraic expression from the following verbal phrase: The quotient of y and the sum of x and 5.

on saturday you bowl at mar vista bowl where renting shoes costs $2 and each game bowled is $3.50.on sunday you bowl at pinz whe

Vlad1618 [11]

Answer:

Let x= number of games bowled.

Amount spent at Vista Bowl=2+3.5x

Amount spent at Pinz Bowl=5+3.25x

Setting these two equations equal to each other and solving for x will give you the number of games you can bowl to make the cost the same:

2+3.5x=5+3.25x setting equations equal

3.5x-3.25x=5-2 combining like terms

0.25x=3 simplify

(1/4)x=3 changing decimal into a fraction

x=(3)(4) multiply both sides by 4 to isolate the x

x=12 answer

Step-by-step explanation:

3 0

3 years ago

Coach Evans recorded the height, in inches of each player on his team. The results are shown.

marysya [2.9K]

Answer:

3

Step-by-step explanation:

Given:

Team heights (inches):

61, 57, 63, 62, 60, 64, 60, 62, 63

To find: IQRs (interquartile ranges) of the heights for the team

Solution:

A quartile divides the number of terms in the data into four more or less equal parts that is quarters.

For a set of data, a number for which 25% of the data is less than that number is known as the first quartile $(Q_1)$

For a set of data, a number for which 75% of the data is less than that number is known as the third quartile $(Q_3)$

Terms in arranged in ascending order:

$57,60,60,61,62,62,63,63,64$

Number of terms = 9

As number of terms is odd, exclude the middle term that is 62.

$Q_1$ is median of terms $57,60,60,61$

Number of terms (n) = 4

Median = $\frac{(\frac{n}{2})^{th} +(\frac{n}{2}+1)^{th} }{2} =\frac{2^{nd}+3^{rd}}{2} =\frac{60+60}{2}=\frac{120}{2}=60$

So, $Q_1=60$

So, 25% of the heights of a team is less than 60 inches

$Q_3$ is the median of terms $62,63,63,64$

Median = $\frac{(\frac{n}{2})^{th} +(\frac{n}{2}+1)^{th} }{2} =\frac{2^{nd}+3^{rd}}{2} =\frac{63+63}{2}=\frac{126}{2}=63$

So, $Q_3=63$

So, 75% of the heights of a team is less than 63 inches

Interquartile range = $Q_3-Q_1=63-60=3$

The interquartile range is a measure of variability on dividing a data set into quartiles.

The interquartile range is the range of the middle 50% of the terms in the data.

So, 3 is the range of the middle 50% of the heights of the students.

4 0

2 years ago

A salesperson at a jewelry store earns 9% commission each week. Last week, sold$720 worth of jewelry. How much did make in co

EastWind [94]

Answer:

The total the salesperson makes is $64.80.

Explanation:

Since nine percent of $720 is $64.80, that is what the salesperson gets per week if they sell $720 worth of jewelry per week. The amount the store gets is $655.20. Thank you for reading, and please mark Brainliest if you got it right!

7 0

3 years ago

30 points And i will give brainliest

julia-pushkina [17]

Answer:

The one with the frequency of 8

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

)Which statement best describes the area of the triangle shown below?

nasty-shy [4]

9514 1404 393

Answer:

(b) It is one-half the area of a square of side length 4 units.

Step-by-step explanation:

The triangle described can be formed by drawing the diagonal through a square 4 units on a side. Such a diagonal cuts the square cleanly in half, so the area of the triangle is half the area of the square.

3 0

2 years ago