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leva [86]
3 years ago
7

There are 48 students going on a field trip. One-fourth are girls. How many boys are going on the trip?

Mathematics
1 answer:
Tatiana [17]3 years ago
7 0

Answer:

36 boys are going on the trip

Step-by-step explanation:

given data

total students = 48

girls = One-fourth

to find out

How many boys are going on the trip

solution

first we find  One-fourth part of total students

so total girls are  One-fourth that mean = \frac{48}{4}

girls = \frac{48}{4} = 12

if there 12 girls so remaining are boys

so boys are = total students - girls

boys = 48 - 12

boys = 36

so 36 boys are going on the trip

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3 years ago
In the figure below, Z is the center of the circle. Suppose that OR=4, ST= 4, UZ= 6, and VZ=4x-6. Find the following.
Ann [662]

Answer:

x = 3 units

SV = 2 units

Step-by-step explanation:

In\odot Z QR and ST are chords such that:

QR = ST = 4

That is both the chords are equal in measure.

Equal chords are at equal distance from the center of the circle. Therefore,

VZ = UZ

4x - 6 = 6

4x = 6 + 6

4x = 12

x = 12/4

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Since, perpendicular dropped from the center of the circle bisects the chord.

\therefore SV = \frac{1}{2} ST

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\therefore SV = 2\: units

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3 years ago
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2 years ago
Find the distance between the points L(7,-1) and M(-2, 4).
zysi [14]

Answer:

The answer is

\sqrt{106}  \:  \:  \: or \:  \:  \: 10.3 \:  \:  \:  \: units

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  } \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

L(7,-1) and M(-2, 4)

The distance between them is

|LM|  =   \sqrt{ ({7 + 2})^{2}  + ( { - 1 - 4})^{2} }  \\  =  \sqrt{ {9}^{2}  +  ({ - 5})^{2} }  \\  =  \sqrt{81 + 25}  \\  =  \sqrt{106}  \:  \:  \:  \:  \:  \:  \:  \\  = 10.29563014...

We have the final answer as

\sqrt{106}  \:  \:  \: or \:  \:  \: 10.3 \:  \:  \:  \: units

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3 years ago
Simplify the expression.
yuradex [85]

Answer:

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2 years ago
Read 2 more answers
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