The ratio of boys to girls in a kindergarten is 2:3. If the number of boys is 12, find the number of girls.

Answers

Answer 1
Answer: This mean for every 2 boys there are 3 girls 12 divided by 2 is 6 so you have todo 6*3 which is 18

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Amanda exercised for 10 minutes every day in the first week, 20 minutes in the second week, 30 minutes in the third week, and 40 minutes in the fourth week.Billy exercised for 5 minutes every day in the first week, 10 minutes in the second week, 20 minutes in the third week, and 40 minutes in the fourth week.

Which statement best describes the methods used by Amanda and Billy to increase the time they spent exercising?


A) Amanda's method is linear because the number of minutes increased by an equal number every week.
B) Billy's method is linear because the number of minutes increased by an equal factor every week.
C) Both Billy's and Amanda's methods are exponential because the number of minutes increased by an equal factor every week.
D) Both Billy's and Amanda's methods are exponential because the number of minutes increased by an equal number every week.

Answers

                  Amanda           Billy
1st week       10                   5
2nd week      20                  10 
3rd week       30                  20
4th week       40                  40

A) Amanda's method is linear because the number of minutes increased by an equal number every week.

common difference is 10.
1st week      0 + 10 = 10
2nd week   10 + 10 = 20
3rd week    20 + 10 = 30
4th week    30 + 10 = 40

Billy's method is exponential:
5(2)^x

1st week   5(2⁰) = 5(1) = 5
2nd week  5(2¹) = 5(2) = 10
3rd week   5(2²) = 5(4) = 20
4th week   5(2³) = 5(8) = 40

Answer:

A

Step-by-step explanation:

She's got it ^^^

Get this question correct image attached

Answers

Answer: x ≤ 5 or x > 7

Step-by-step explanation:

    First, we will write an equation for the left side. It's a closed dot going to the left (less than) of 5.

         x ≤ 5

    Next, we will write the right side. It's an open dot going to the right (greater than) of 7.

         x > 7

    Lastly, we will combine these to create our compound inequality.

         x ≤ 5 or x > 7

Answer:

-infinity less than or equal to 5 and 7 less than infinity

Step-by-step explanation:

How would I solve 8^(3/2) * 2^(3/2) ?

Answers

the asnwer is 36 i think

the first mixed fraction would turn into 12 and the second would be 3, and 12 x 3 is 36

Use the stem-and-leaf plot below to find the mean, median, and mode of the data set. Round to the nearest wholenumber
Stem Leaf
5 2, 2, 2.
8. 1,5,9
9. 3,4,6
1. 2,7

Answers

Answer:

The mean is 65.72 , median  is 81 and mode is 52  

Step-by-step explanation:

Stem         Leaf

5                2, 2, 2.

8.                1,5,9

9.                3,4,6

1.                 2,7

Number : 52,52,52,81,85,89,93,94,96,12,17

Arrange in ascending order :

12,17,52,52,52,81,85,89,93,94,96

Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\nMean =(12+17+52+52+52+81+85+89+93+94+96)/(11)

Mean =65.72

Median = (n+1)/(2) \text{th term}=(11+1)/(2)=6 \text{th term} = 81

Mode = most occurring number = 52

Hence The mean is 65.72 , median  is 81 and mode is 52  

There are approximately 2.2 million deaths per year in country A. Express this quantity as deaths per minute

Answers

1 year = 365 days
365 days = 365*24 hours
365*24 hours = 365*24*60 minutes

2.2 million deaths / year
2.2 * 10^6 deaths / (365*24*60) minutes
4.186 deaths / minute

Answer: Approximately 4 deaths per minutes.

Step-by-step explanation:

Since, 1 year = 365 days,

1 day = 24 hours,

1 hour = 60 minutes,

⇒ 1 year = ( 365 × 24 × 60 ) minutes = 525600 minutes,

If the numbers of deaths in one year = 2.2 million = 2200000

⇒ The numbers of deaths in 525600 minutes = 2200000

⇒ The number of deaths in 1 minute = 2200000/525600 = 4.18569254186 ≈ 4

Hence, There are approximately 4 deaths per minutes.

Which expression is in simplified form for the given expression and states the correct variable restriction? u^2-4/(u-6)(u-2)
a. 1/u-3, u=3
b. u+2/u-6, u=2, u=6
c. 1/2u+12, u=-6
d. u+2/u-6, u=6

Answers

(u^2 - 4) / (u-6)(u-2)

Resriction u ≠ 6 and u ≠ 2 (because the denominator cannot be equal lto zero)

Simplification

 u^2 - 4 is a difference of two squares, then you can factor it as the product of (u+2)(u-2). So, you can write the expression as:

(u+2)(u-2) / (u-2)(u-6)

Simplify u -2 (because it appears in the numerator and the denominator)

(u + 2) / (u -6), with u ≠2 and u≠6