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GarryVolchara [31]
3 years ago
8

How many ways can 10 marbles be divided into four boxes if all marbles are identical?

Mathematics
1 answer:
Anastaziya [24]3 years ago
4 0
If all the marbles are identical then order does not matter so you use combination.
nCr so 10C4 = n! / (n-r)!(r!)
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Find three consecutive integers such that the largest is 3 less than twice the smallest
Nostrana [21]

Answer:

The three consecutive integers are 5,6,7

Step-by-step explanation:

Let the three consecutive integers be represented as x,x+1,x+2

As per the requirement, largest integer is 3 less than twice the smallest.

=> x+ 2 = 2x -3

=> 2x -x = 2+3

=> x= 5

So the three integers are 5,6,7

Verification:

Largest integer = 7

Smallest integer = 5

2 * smallest integer - 3 = 2* 5 - 3 = 7

Largest integer is also 7.

So the required condition in the question is satisfied by these three integers.

7 0
3 years ago
If △STU is similar to △XYZ, the sides of △STU must be congruent to thecorresponding sides of △XYZ.A. TrueB. False
katovenus [111]

Similar triangles are triangles that have the same interior angles and the corresponding sides are proportional, that is, for triangles STU and XYZ we have the proportion:

\frac{ST}{XY}=\frac{TU}{YZ}=\frac{SU}{XZ}

The corresponding sides are congruent only if the proportion rate is 1, but that is not always true and it's not necessary.

Therefore the correct option is B: False

If the corresponding sides are congruent, the triangles are congruent.

7 0
1 year ago
Carol is going to buy a purse she found. It is originally $120.00, but has been marked down 25%. When Carol goes to buy the purs
Reil [10]
$82.80
I hope this helped!
4 0
3 years ago
Find the area and perimeter of the shaded region. Stuck on this one can someone help me
alekssr [168]

Answer:

perimeter-

perimeter outer rectangle = 2 (l+b)

=2×8+9

= 2×17

2×17 =34 cm sq.

perimeter of inner rectangle = 2 (l+b)

= 2×5+3

=2× 8

= 16 cm sq.

perimeter of shaded portion= 34 - 16

= 18 cm sq.

area-

<em>area</em><em> </em><em>of</em><em> </em><em> </em><em>inner</em><em> </em> rectangle =l×b

l×b = 3×5

3×5=15

15 cm sq.

area of outer rectangle =l×b

l×b= 9×8

9×8= 72

72 cm sq.

area of shaded portion = 72 -15 =57 cm sq.

hey there! In second method i have done first area of inner rectangle but you have to do first area of outer rectangle...

hope it helps you....

3 0
3 years ago
Read 2 more answers
1by2 of x-1 by 2 equals 2x what is the valueof x
alexandr402 [8]

Answer:

x=-\frac{1}{7}

Step-by-step explanation:

8 0
3 years ago
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