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OleMash [197]
3 years ago
11

The ratio of girls to boys participating in intramural volleyball at Ashland Middle School is 7 to 4. There are 42 girls in the

program. What is the total number of participants?

Mathematics
2 answers:
LUCKY_DIMON [66]3 years ago
6 0
There are 66 total participants

work:

yKpoI14uk [10]3 years ago
6 0

Answer:66

Step-by-step explanation:

Let number of boys be x

total number of boys and girls = x+42

7/11 *(x+42) = 42

7x + 294 = 462

7x = 168

x = 24

Total number = 24+42=66

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A man bought 8 boxes highlighters, each with 24 highlighter pens inside, for $9 each box. He sold the highlighters for $1 each.
Katarina [22]

Answer:

The man earned money:

Step-by-step explanation:

$1 x 24 pieces =$24 revenue per box

$24 - $9 = $15 earning per box

$15 x 8 boxes = $120 total earnings

3 0
3 years ago
Find the volume of the figure. Round to the
Elodia [21]

Answer:

1,286.1 units is the answer

Step-by-step explanation:

your answer may vary depending on what you use for pie, using a calculator with pie on it gave me approx. 1286.79635

volume formula: V=πr^2h

so π*6.4^2*h

π*40.96*10

3.14*409.6

1,286.144

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1,286.1

4 0
3 years ago
Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate
Leviafan [203]

Answer:

Probability of having student's score between 505 and 515 is 0.36

Given that z-scores are rounded to two decimals using Standard Normal Distribution Table

Step-by-step explanation:

As we know from normal distribution: z(x) = (x - Mu)/SD

where x = targeted value; Mu = Mean of Normal Distribution; SD = Standard Deviation of Normal Distribution

Therefore using given data: Mu (Mean) = 510, SD = 10.4 we have z(x) by using z(x) = (x - Mu)/SD as under:

In our case, we have x = 505 & 515

Approach 1 using Standard Normal Distribution Table:

z for x=505: z(505) = (505-510)/10.4 gives us z(505) = -0.48

z for x=515: z(515) = (515-510)/10.4 gives us z(515) = 0.48

Afterwards using Normal Distribution Tables and rounding the values to two decimals we find the probabilities as under:

P(505) using z(505) = 0.32

Similarly we have:

P(515) using z(515) = 0.68

Now we may find the probability of student's score between 505 and 515 using:

P(505 < x < 515) = P(515)-P(505) = 0.68 - 0.32 = 0.36

PS: The standard normal distribution table is being attached for reference.

Approach 2 using Excel or Google Sheets:

P(x) = norm.dist(x,Mean,SD,Commutative)

P(505) = norm.dist(505,510,10.4,1)

P(515) = norm.dist(515,510,10.4,1)

Probability of student's score between 505 and 515= P(515) - P(505) = 0.36

Download pdf
6 0
3 years ago
Find the quotients<br><br> Thank you
svlad2 [7]

Answer:

The answer to your question is below

Step-by-step explanation:

5)                                2x² -7x + 34

                       x + 5   2x³ + 3x² - x + 1

                                 -2x³ -10x²

                                   0   - 7x² - x

                                        +7x² +35x

                                           0   +34x + 1

                                                 -34x - 170

                                                    0   - 160

Quotient = 2x² - 7x + 34

Remainder = -160

6)                                       2x² - 3x  + 1

                             3x + 1   6x³ - 7x² + 0x + 2

                                         -6x³ -2x²

                                          0    -9x² + 0x

                                                +9x² +3x

                                                   0   +3x + 2

                                                        - 3x - 1

                                                           0  + 1

Quotient = 2x² - 3x + 1

Remainder = 1

7 0
3 years ago
A company is making new soccer uniforms for a team. The company uses 2.5 yards of fabric for each shirt. The company uses 82.5 y
Helen [10]
The answer is D. the amount of fabric needed for each pair of shorts.
5 0
3 years ago
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