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FinnZ [79.3K]
3 years ago
5

For every 12 students that wore sneakers, there were 9 students that wore boots. How many students wore sneakers if 24 students

wore boots? *
A. 36 students wore sneakers
B. 18 students wore sneakers
C. 32 students wore sneakers
D. 40 students wore sneakers
Which one is right?
PLS HELP ME
Mathematics
2 answers:
Olenka [21]3 years ago
7 0

Answer:

C (32)

Step-by-step explanation:

12 sneakers / 9 boots = x sneakers / 24 boots

the ratio is 4:3 so divide 24 by 3 and multiply by 4

12 / 9 = (24 / 3 x 4) / 24

12 / 9 = 32 / 24

32 students wore sneakers

aksik [14]3 years ago
4 0
A) 36 students wore sneakers
Steps:
For every 9 students that wore boots 12 wore sneakers if 24 students wore boots that mean 24/9= 3 and so u would have to multiply 12•3 and get 36
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3 years ago
Please help (CORRECT ANSWERS ONLY)
german

-2(8m+8) = -16

-16m - 16 = -16

His first mistake lies in his distribution. When multiplying -2 * 8, he made it a positive 16, when he should have made it a negative 16.

-16m - 16 = -16

Add 16 to each side.

-16m = 0

Divide that by -16

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7 0
3 years ago
If exactly 194 people sign up for a charter flight, Leisure World Travel Agency charges $312/person. However, if more than 194 p
maw [93]

Title:

<h2>The revenue will be maximum for 253 passengers.</h2>

Step-by-step explanation:

Let, the number of passenger is x, which is more than 194.

In this case, the travel agency will charge [312 - (x - 194)] per passenger.

The total revenue will be x[312 - (x - 194)] = 506x - x^{2}.

As x is the variable here, we can represent the revenue function by R(x). Hence, R(x) = 506x - x^{2}.

The revenue will be maximum when \frac{d (506x - x^{2} )}{dx} = 0\\2x = 506\\x = 253.

6 0
3 years ago
Need help with number 5
tangare [24]

Answer:

  (3)  y = 4x

Step-by-step explanation:

In order for the equation not to change, the point (0, 0) must be on the original line and so on the line after dilation. The only equation with (0, 0) as a point on the line is y=4x.

Dilation about the origin moves all points away from the origin some multiple of their distance from the origin. If a point is on the origin, it doesn't move. We call that point the "invariant" point of the transformation. For the equation of the line not to change, the invariant point must be on the line to start with.

8 0
3 years ago
What is the length of the apothem of a regular hexagon with 10-cm sides?
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Answer:

The length of apothem of given hexagon is 8.66 cm

Step-by-step explanation:

Apothem of a polygon is given by:

apothem = \frac{s}{2\ tan\ (\frac{180}{n})}

Here

s is length of side

tan is trigonometric function

and n denotes number of sides

Given that the polygon is a hexagon

s = 10cm\\n = 6

Putting the values in the formula

apothem = \frac{10}{2\ tan\ (\frac{180}{6})}\\= \frac{10}{2\ tan\ 30}\\=\frac{10}{2 * 0.5773}\\=\frac{10}{1.1546}\\=8.6610\\Rounding\ off\ to\ nearest\ hundredth\\= 8.66\ cm

Hence,

The length of apothem of given hexagon is 8.66 cm

6 0
3 years ago
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