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3 years ago

If the sum of the first and third consecutive integer is 44, what are these three integers?

1 answer:

4 0

Hello There!

x + x + 2 = 44
2x + 2 = 44
- 2 - 2
2x = 42
x = 21.

Numbers are 21, 22 and 23.

Hope This Helps You!
Good Luck :)

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A class at Middlebury school collected date on the types of movies students prefer. Complete each statement using the table.

likoan [24]

Based on the information of the table, you have:

1. The ratio is 105/150. By simplifying you get for the ratio 7/10.

2. The students that prefer action movies are 75+90 = 165 and the total numbe of students is 180+240 = 420. Then, the fraction of students who prefer action movies is:

165/420 = 11/28

3. The fraction of seventh graders students that prefer action movies is:

75/180 = 5/12

4. The percent of student that prefer comedy is:

105 + 150 = 255 total student that prefer comedy

420 total number of students

the fraction is:

(x/100)420 = 255

solve for x:

x = 255(100/420)

x = 60.71

the percent of students is 60.71%

5. The percent of eighth graders student who prefer action moveis is:

(x/100)240 = 90

x = 90(100/240)

x = 37.5

the percent of students is 37.5%

6. To determine which from the given grades has the greatest percent of student that prefer action movies, calculate the percent of student in seventh-grade:

(x/100)180 = 75

x = 75(100/180)

x = 41.66

the percent of student is 41.66%

then, seventh grade has the greatest percent of student that prefer action movies.

4 0

1 year ago

What is the total cost with sales tax? $370.00 tax 5%

kolezko [41]

Answer: $388.5

Step-by-step explanation:

Total cost = cost + sales tax

Given that cost = $370

Sales tax = 5% of $370

5/100 × 370 = $18.5

Total cost = $370 + $18.5

= $388.5

I hope this is clear.

4 0

4 years ago

How do you multiply and divide mixed numbers

Alexxx [7]

Answer:

one way is to turn them into improper fractions then solve thwn like u would normally multiply/divide normal fractions and when u get ur answer change it back to mixed form

7 0

3 years ago

In a class of 19 students, 3 are math majors. A group of four students is chosen at random. (Round your answers to four decimal

KatRina [158]

Answer:

(a) The probability is 0.4696

(b) The probability is 0.5304

Step-by-step explanation:

The total number of ways in which we can select k elements from a group n elements is calculate as:

$nCx=\frac{n!}{x!(n-x)!}$

So, the number of ways in which we can select four students from a group of 19 students is:

$19C4=\frac{19!}{4!(19-4)!}=3,876$

On the other hand, the number of ways in which we can select four students with no math majors is:

$(16C4)*(3C0)=(\frac{16!}{4!(16-4)!})*(\frac{3!}{0!(3-0)!})=1820$

Because, we are going to select 4 students form the 16 students that aren't math majors and select 0 students from the 3 students that are majors.

At the same way, the number of ways in which we can select four students with one, two and three math majors are 1680, 360 and 16 respectively, and they are calculated as:

$(16C3)*(3C1)=(\frac{16!}{3!(16-3)!})*(\frac{3!}{1!(3-1)!})=1680$