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mariarad [96]
3 years ago
9

In how many ways can a student arrange 6 textbooks on a locker shelf that can hold 4 books at a time

Mathematics
1 answer:
elena55 [62]3 years ago
7 0

Answer:

360 ways.

Step-by-step explanation:

This is the number of permutations of 4 from 6.

= 6P4 =   6! / (6 - 4)!

=  6! / 2!

= 6*5*4*3*2*1 / 2

= 360.

You might be interested in
Which equation represents a line that is perpendicular to the line passing through (-4,7) and (1,3)?
diamong [38]

The equation perpendicular to the line passing through the points (-4,7) and (1,3) isy=\frac{5}{4}x-2

<h3>Equation perpendicular to a line</h3>

The slope of the given line is calculated as:

m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{3-7}{1-(-4)} \\\\m=\frac{-4}{5}

The equation perpendicular to the given line will be of the form

y-y_1=\frac{-1}{m} (x-x_1)

Substitute x_1=-4, y_1=7, and m=\frac{-4}{5}

y-7=\frac{5}{4}(x+4)\\\\ y=\frac{5}{4}x+5-7\\\\ y=\frac{5}{4}x-2

Therefore, the equation perpendicular to the line passing through the points (-4,7) and (1,3) is y=\frac{5}{4}x-2

Learn more on perpendicular equations here: brainly.com/question/1441594

#SPJ1

6 0
2 years ago
Solve for m −7+4m+10=15−2m
Andru [333]
4m+2m=7-10+15
6m=12
m=12:6
m=2
6 0
4 years ago
Read 2 more answers
Find the missing length indicated​
Rina8888 [55]

Answer:

c = 175

Step-by-step explanation:

When the height of a right triangle is shown this way (at right angles with the hypotenuse, It can be found by using the way the hypotenuse is broken up. The following proportion works.

576/x = x / 49          Cross multiply

x^2 = 576 * 49

sqrt(x^2) = sqrt(576*49)

x = 24 * 7

x = 168

But that's not what you want (although it is close).

What you want is the hypotenuse to the small lower triangle

c = ?

a = 49

b = 168

c^2 =  49^2 + 168^2

c^2 = 2401 + 28224

c^2 = 30625

c = sqrt(30625)

c = 175

4 0
3 years ago
What is the missing term in the factorization?<br> 18x^2 – 32 = 2(3x+?)(3x – 4)
Tatiana [17]

Answer:

4.

Step-by-step explanation:

18x^2- 32

= 2(9x^2 - 16)

= 2(3x + 4)(3x - 4)

6 0
2 years ago
Help please with an explanation ಥ‿ಥ​
morpeh [17]
If BD = 12x + 36
And BD = BC +CD = 3 + 1 = 4
BC = (12x + 36)/4 x 3
= 12(x+ 3) /4 x3
= 3(x+3) x 3
= 9x + 27
Likewise,
FE = 12(x + 3) /3 x 1
= 4x + 12

Area = 1/2 x (BC + FE) x DE
= 1/2 x (9x + 27 + 4x + 12)x (x+1)
= 1/2 x (13x + 39) x (x +1)
= 1/2 x 13x2 + 52x + 39


Hope this helps,
Regards,
ArmyCee:)
6 0
3 years ago
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