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galben [10]
3 years ago
7

Least common multiple of 6, 10, and 15

Mathematics
2 answers:
IrinaVladis [17]3 years ago
5 0
The answer is 30. 6, 10, and 15 all go into 30. 6x5=30 10x3=30 15x2=30
Liula [17]3 years ago
4 0

To find the least common multiple, first think about the different multiples of 15, 6, and 10 and then we need to find the smallest multiple that they have in common. We can start by finding the multiples of each number.

-Image is provided-

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An open box with a square base is to be made from a square piece of cardboard 24 inches on a side by cutting out a square from e
laila [671]

Answer:

x=4 Inch

Step-by-step explanation:

Length of the Square = 24 Inches

If a Square of Length x cm is cut out from each corner

Length of the Box = 24-x-x=(24-2x) Inches

Width of the Box =24-x-x=(24-2x) Inches

Height of the box = x inches

Volume of a Cuboid = Length X Width X Height

V(x)= x(24-2x)(24-2x)

Simplifying

V(x)=4x(12-x)(12-x)

To determine the value of x at which V is largest, we take the derivative of V(x) and solve for the critical points.

V(x)=4x(12-x)(12-x)

V^{'}(x)=12(x-12)(x-4)

Set the derivative equal to zero to obtain the critical points

V^{'}(x)=12(x-12)(x-4)=0\\Since \: 12\neq 0\\(x-12)(x-4)=0\\x-12=0 \:or\: x-4=0\\x=12 \:or\: x=4

x cannot be equal to 12 as it divides the length of the square cardboard into exactly two equal parts.

When x=4

V(4)=4*4(12-4)(12-4)=16*8*8=1024 Cubic Inches

When x=4 Inch, the volume, V of the open box is largest.

3 0
3 years ago
find the number of running and passing plays using substitution method 110 plays 3 yards per run 7 yards per pass total yards 37
Zinaida [17]

Let x be the number of running plays

Y  be the number of passing plays

Since the total plays is 110

 X + y = 110

And total yard is 378

3x + 7y = 378

Using the first equation

X = 110 – y and substitute to the 2nd equation

3(110 – y) + 7y = 378

And solve for y

Y = 12

Substitute to eqution 1

X = 110 – 12 = 98

7 0
3 years ago
a business analyst makes 20$ an hour for the first 42 hours he works during a week and 28$ an hour for each worked over 42 hours
sashaice [31]
Y=(20 × 42) + [28 × (x-42)]
8 0
3 years ago
Read 2 more answers
Suppose T= {-8,-4,0,4,8,12,16,20} and K= {-3,-2,-1,0,1,2,3,4,5,6}. What is T U K?
Ivanshal [37]
T U K  = { -8,-4, -3, -2, -1, 0, 1,2,3,4, 5,6,8,12,16,20}
3 0
3 years ago
Part of a school’s stage is shaped like a sector of a circle, as shown below. The students do not yet know the exact dimensions
Natasha2012 [34]

Answer:

  • 68.78° or 0.6 rad

Step-by-step explanation:

<u>Use the formula:</u>

  • degrees/360° = L/circumference
  • or
  • radians/π = L/circumference

<u>As per given:</u>

l = 12 feet, r = 10 feet

  • degrees = 360°*12/(2*3.14*10) = 68.78°
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8 0
3 years ago
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