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yarga [219]
3 years ago
12

There are fewer than 40 students enrolled in a certain class. If, at a certain time, 2/9 of the students are absent from school

and 1/4 of those in school have gone to the library, what is the total class enrollment?
a. 18
b. 27
c. 28
d. 32
e. 36
Mathematics
1 answer:
sladkih [1.3K]3 years ago
7 0
Well, we kinda hope that noone is splitting the students into parts;) so that means that the number of students must be divisible by 4 and 9, and since they don't have any divisors in common, it must be divisible by 4*9=36, and this is also the correct answer - 36.
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The Drury Lane Theater has 10 seats in the first row and 38 rows in all. Each successive row contains one additional seat. How m
densk [106]

Answer:

1083 seats

Step-by-step explanation:

this is an arithmetic sequence :

an = an-1 + c

in our case

a1 = 10 (10 seats in the first row)

a2 = a1 + 1 = 10 + 1 = 11

a3 = a2 + 1 = a1 + 1 + 1 = 10 + 1 + 1 = 12

an = an-1 + 1 = a1 + (n-1)×1 = a1 + n - 1 = 10 + n - 1 = 9 + n

a38 = a1 + 37 = 10 + 37 = 47 seats.

altogether this means the sum of the arithmetic sequence of a1 to a38.

the general sum of an arithmetic sequence from a1 to an is

n×(a1 + an)/2

in our case

38×(10 + 47)/2 = 19×57 = 1083 seats

3 0
2 years ago
Help me with this question
frosja888 [35]

A linear equation in the form y = mx + c has slope m Any line parallel to 3x + 9y = 5 has the same slope 3x + 9y = 5 → 9y = -3x + 5 → y = (-3/9)x + 5/9 → y = -⅓x + 5/9 & So it’s 10 and 0

7 0
3 years ago
Read 2 more answers
Consider the diagram below. Which of the following statements are correct? Select all that apply. (Diagram and answer options ar
Vika [28.1K]

Answer:

Options 1,2,6,7 are correct statements.

Step-by-step explanation:

In the given figure lines m and n are cut by a transversal t.

Among all the statements the options that are correct are :

1)<1 and <5 are corresponding angles.(The angles in matching corners are called corresponding angles)

2)<3 and <6 are alternate interior angles .(The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles)

6)<4 and <6 are same side consecutive angles.(consecutive angles lie on the same side of the transversal)

7)<1 and <8 are alternate exterior angles.( These angles lie on the exterior side of the lines and on opposite side of the transversal)

3 0
3 years ago
PLEASE HELP! AM BEGGING! IF I GET A 80 OR LOWER AM GOING TO FAIL! PLEASE DOUBLE CHECK YOU WORK!!!! :(( I used up all my points
Hoochie [10]

Answer:

question 1 is 22

question 2 is 122

ask your teacher why u got question 1 wrong

Step-by-step explanation:

90-68 is 22

180-58= 122

5 0
3 years ago
Read 2 more answers
9. On a game show, there are 16 questions: 8 easy, 5 medium-hard, and 3 hard. If contestants are given questions
just olya [345]

Answer:

\frac{7}{30}\approx0.23

Step-by-step explanation:

Given:

Number of questions (N) = 16

Number of easy questions (E) = 8

Number of medium-hard questions (M) = 5

Number of hard questions (H) = 3

Now, the probability of getting the first question as easy question is given as:

P(E1)=\frac{\textrm{Number of easy questions}}{\textrm{Total questions}}\\\\P(E1)=\frac{E}{N}=\frac{8}{16}=0.5

Now, probability of getting the second question as easy question is given as:

P(E2)=\frac{\textrm{Number of easy questions left}}{\textrm{Total questions left}}\\\\P(E2)=\frac{E-1}{N-1}=\frac{7}{15}

Now, probability that the first two contestants will get easy questions is given by the product of P(E1)\ and\ P(E2). So,

P(2\ easy\ questions)=P(E1)\times P(E2)\\\\P(2\ easy\ questions)=\frac{1}{2}\times \frac{7}{15}\\\\P(2\ easy\ questions)=\frac{7}{30}\approx 0.23

Therefore, the probability that the first two contestants will get easy questions is \frac{7}{30}\approx0.23

7 0
3 years ago
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