MATHEMATICS HIGH SCHOOL

This dot plot shows the number of cakes sold each day in aunt alice's cake shop last month. what is the median number of cakes sold each day?

Answers

Answer 1

Answer:

Answer:

The median is 2.

Step-by-step explanation:

I just did the test :)

Answer 2

Answer:

Answer:

the answer should be 2

Step-by-step explanation:

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What is x?3(x - 4) - 14 = 2(x - 7) + 6
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Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solution if x represents the number of days that a library book is late and y represents the total fee?Answers:(–3, –0.90)(–2.5, –0.75)(4.5, 1.35)(8, 2.40)
Explaining step by step the simplest form of the expression 9r(r+3)-2r(r-4)

Factoring polynomials of 18x-60x^5 please explain the steps.

Answers

rewrite as -60x^5 + 18x
factor out greatest common factor 6x
6x (-10x^4 + 3)

How else can the ratio 14:1 be written

Answers

1:14 is another way to do it

What is the coefficient of x^2y^3 in the expansion of (2x+y)^5

Answers

Answer:

Step-by-step explanation:

A P E X

We figure out the coefficient of x^2y^3 by figuring out the coefficients in both (x+y)^4 and (x+2y)^4.

Using the binomial theorem, the coefficient of x^2y^3 on the first expansion is

(4 choose 3)x^2y^3=6x^2y^3,

and the coefficient of x^2y^3 on the second expansion is

(4 choose 3)x^2(2y)^3=6x^2(4y^2)=24x^2y^3.

Thus, the coefficient in the sum of these two expansions is 6+24=30.

Randi needs to mow her lawn. The mixture requires 5 gallons of gas for every 2 gallons of oil. How much oil will she need for 8 gallons of gas? Your answer should be in tenths. (1 point) gallons

Answers

Answer:

3.2 gal oil

Step-by-step explanation:

Use a proportion.

5/2 = 8/x

5x = 2 × 8

5x = 16

x = 3.2

Alina is able to swim at a rate of about 2.5 miles per hour. Talia is able to swim at a rate of 1.8 meters per second. Which statement comparing the two swimmers is accurate?

Answers

Answer:

Talia swims about 1.52 miles per hour faster than Alina.

Step-by-step explanation:

Alina is able to swim at a rate of about 2.5 miles per hour.

Talia is able to swim at a rate of 1.8 meters per second.

First we will change meters per second into miles per hour.

1 mile= 1609.34 meters

1 hour = 3600 seconds

So, 1.8 meters per second will be = $(1.8*3600)/(1609.34)$

= 4.02 miles per hour.

Now, the difference between their rates is = $4.02-2.5=1.52$ miles per hour.

Therefore, Talia swims about 1.52 miles per hour faster than Alina.

Talia swims about 1.5 mph faster than Alina

Bailey and Jade both play basketball. The table and graph show the total number of games that each of their teams won over six weeks. A coordinate plane labeled Jade's Team. The x-axis is labeled Weeks and the y-axis is labeled Wins. Points plotted are (1, 0), (2, 1), (3, 3), (4, 5), (5, 6), and (6, 7). Bailey’s Team Number of weeks Wins 1 2 2 2 3 3 4 4 5 4 6 6 After which week had the two teams won the same number of games?

Answers

Answer:

week 3

Step-by-step explanation:

week 3 is correct, because both of their teams have 3 wins for week 3 as stated on Bailey's table and plotted on Jade's graph.

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