Mr. Robinson has 20 students in his martial arts class. The ratio of boys to girls is 4:1. How many boys and girls are in Mr. Robinson's class?a. 15 boys, 5 girls
b. 5 boys, 15 girls
c. 16 boys, 4 girls
d. 4 boys, 16 girls

Which of the following equations is an example of the distributive property?
a. (5)(3) = (3)(5)
b. 5+3 = 3+5
c. (5)(1+2) = (5)(1) + (5)(2)
d. 15=15

Answers

Answer 1

Answer: 1) Ratio - 4:1

thus, 4x + 1x = 20
5x = 20

thus, x = 20/5 = 4

thus, x = 4
and, 4x = 16

Thus, the answer is (C) 16 boys and 4 girls

2) According to distributivity, a(b+c) = ab + ac

Thus, the answer is (C)

Answer 2

Answer: 1.4x+x=20
5x=20
x=4 there are 16 girls and 4 boys

2.c

Related Questions

A digit is in the hundreds place. The digit is moved so that it's value is 10 times greater. To which place did the did you move?
The difference between a number divided by 3 and 4 is 20
How do you write 10,458,340 in exsapanded form
What is the answer and work to 15% of 375
Gia spends 2\5 of her money on a shirt and 4\9 of her remaining money on shoes. What fraction of her money is left?

I really need help on this please help asap if u canmagine you’re working in the kitchen to make cookies for an upcoming bake sale. You need to bake eight dozen total. Your first two batches each take about 30 minutes to mix and bake, but by your third and fourth batches your measuring and mixing have become a lot faster, and you can consistently finish a batch in 20 minutes. Assuming you’ll continue at the same pace, outline the steps it would take to create a word model, create an equation, and then solve the problem to figure out how many hours it will take you to make all eight dozen.

Answers

Answer:

Step-by-step explanation:

To create a word model, equation, and solve the problem of how many hours it will take to make all eight dozen cookies, follow these steps:

**Step 1: Define Variables**

- Let M represent the number of minutes needed to mix and bake each batch.

- Let B represent the number of batches.

**Step 2: Set Up the Word Model**

- In the first two batches, you spend 30 minutes on each batch, so you have 2 batches * 30 minutes/batch = 60 minutes for those batches.

- For the remaining batches (batch 3 and onwards), you spend 20 minutes on each batch.

So, the total time T in minutes for all B batches can be represented as follows:

**T = 60 (minutes) + (B - 2) * 20 (minutes)**

**Step 3: Convert to Hours**

- Since there are 60 minutes in an hour, you need to convert the total time T from minutes to hours. Divide T by 60:

**T (hours) = [60 + (B - 2) * 20] / 60**

**Step 4: Solve for B**

- You want to make a total of 8 dozen (8 x 12) cookies, which is 96 cookies. Each batch makes one dozen (12) cookies.

So, set up an equation for the number of batches needed to make 96 cookies:

**B * 12 = 96**

Now, solve for B:

**B = 96 / 12 = 8 batches**

**Step 5: Substitute B into the Time Equation**

- Now that you know you need 8 batches, substitute this value into the time equation:

T (hours) = [60 + (8 - 2) * 20] / 60

**Step 6: Calculate the Total Time in Hours**

- Simplify and calculate the total time T in hours:

T (hours) = [60 + 6 * 20] / 60

T (hours) = [60 + 120] / 60

T (hours) = 180 / 60

T (hours) = 3 hours

So, it will take you a total of 3 hours to make all eight dozen cookies for the bake sale.

answer: 3 hours have a good day

True or false one way to divide a fraction by another fraction is to multiply the dividend and the multiplicative inverse of the divisor

Answers

The given statement "to divide a fraction by another fraction is to multiply the dividend and the multiplicative inverse of the divisor" is true.

What is division of fractions?

Dividing fractions is nothing but multiplying the fractions by reversing one of the two fraction numbers or by writing the reciprocal of one of the fractions. By reciprocal we mean, that if a fraction is given as a/b, then the reciprocal of it will b/a.

To divide a fraction by another fraction is to multiply the dividend and the multiplicative inverse of the divisor is true.

Therefore, the given statement is true.

Learn more about the division of fractions here:

brainly.com/question/17205173.

#SPJ6

It is very true! That's basically a shortcut to get the answer... but dont forget to reduce ur fraction

SURDSPlease could you provide the answers for the following.

Please could you number each one and write out the question.

Thanks.

Loads of points for the answer!

See the attachment below for questions.

Answers

1) √3 √7 = √21
2) √5 √245 = √5 √5 * 49 = √5 * 7√5 = 7 √5 * 5 = 7 √25 = 7 * 5 = 35
3) √77 ÷ √11 = as is. can't be simplified.
4) (√59)² = 59 ; the square root was cancelled by squared.
5) 3√6 x 8√7 = 3 * 8 √6 * 7 = 24 √42
6) 5√3 x 6 √3 = 5 * 6 √3 * 3 = 30 √9 = 30 * 3 = 90
7) 40√30 ÷ 5√3 = (40 / 5) * (√30 /√3) = 8 * ((√3 *10) / √3) = 8 √10
8) (6√5)² = 6² * √5² = 36 * 5 = 180

Amie published her first book. She was given $20,000 and an additional $0.15 for each copy that sold. Her earnings,d, in dollars,from the publication of the book are given d=20,009 + 0.15n where n is the number of copies sold. During the first year, Amie earned $22,100 from the publication and the sale of her book. How many copies of her book were sold?

Answers

Answer: 139 copies of her book were sold.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Earnings (d)

d= 20,009+0.15n

Where "n" is the number of copies sold.

If she earned $22,100, we have to replace the value of d by the number given:

22,100 = 20,009 +0.15 n

Solving for n

22,100-20,009 = 0.15n

2,091=0.15n

2,091/15=n

139.4=n

n≅139 books (rounded)

Feel free to ask for more if needed or if you did not understand something.

d=20,009 + 0.15n
$22,100 = 20,009 + 0.15n
$2091 = 0.15n
n = 2091/.15 = 13940

What is 9/21 in simplest form

Answers

3/7. You divide 9/21 by a number they can both be divisible by, which is 3. Hope it helps! :)

9 and 21's gcf is 3 so 9/3= 3 21/3=7 =3/7
9-1,3,9
21-1,3,7,21

Renn has a 36-cm scarf. He decides to cut off part of thescarf so it is now only 19 cm.
How many centimeters did Renn cut off of his scarf?
cm

Answers

Answer:

17 cm

Step-by-step explanation:

Since initially the scaff was 36 cm but Renn cuts x cm so that the remaining portion is 19 cm, we can express it mathematically as shown

36-x=19

To find the value of x

36-19=x

X=17 cm

Other Questions

Brian invests £1300 into his bank account. He receives 10% per year simple interest. How much will Brian have after 3 years? Give your answer to the nearest penny where appropriate.

Can someone please help me

A number ,decreased by 15 equals 52. Find the number

How can you make 16 dollars using exactly and only 3 bills, one of which is not a 10-dollar bill?