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Serhud [2]
3 years ago
12

Three motorcyclists ride around a circular course starting at the same place and the same time. The first passes the starting po

int every 36 min, the second every 27 min, and the third every 24 min. After how many minutes will all three pass the starting point again at the same time? Explain your reasoning. (Simplify your answer.) minutes A. All three pass the starting point at the same time again after 36.27. 24 = minutes B. All three pass the starting point at the same time again after GCD(36,27,24)= minutes. C. All three pass the starting point at the same time again after LCM(36,27,24) = x​
Mathematics
1 answer:
Natali5045456 [20]3 years ago
5 0

Answer:

C I think

Step-by-step explanation:

Normally L.C.M is the method of finding it

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Which compound inequalities have the solution set represented by the given graph? Check all that apply
Contact [7]

We check with each options

'Or' represents the intersection of two graphs

'And' represents two separate graphs'

We have two separate shaded part in the given graph

So we ignore the options that has 'and' in between

LEts check first  and second option

\frac{x}{2}=13

Simplify the first part and second part

multiply both sides by 2 .

x < 2  or  4x - 2 > = 26

solve 4x-2 > = 26

add 2 on both sides and then divide both sides by 4

4x >= 28

x >= 7

So solution is x<2 or x>=7 . that is the graph on number line

Lets check with second option

3x-3<3  or  2x+8>=22

add 3 on both sides

3x < 6

divide both sides by 3

so x< 2

2x+8>=22

subtract 8 on both sides

2x >= 30

divide both sides by 2

x >= 15

x<2  or x>=15 that does not satisfies the graph

So option A is correct



7 0
3 years ago
Read 2 more answers
The angles of traingle are in the ratio 3:7:8 find them in degrees as well as in radians​
I am Lyosha [343]
30°, 70°, and 80°.
It is an acute-angled triangle.
Explanation:
The ratio of the measures of ∠s in Δ is 3:7:8.
So, let us suppose that the measures are, 3k, 7k, 8k.
Evidently, their sum is
180°.

3k+7k+8k=180
18k=180
k= 10

Hence, the measures are,
30°, 70°, and 80°.
As all the angles are acute, so is the triangle.
6 0
3 years ago
The function f(x) = −x2 + 28x − 192 models the hourly profit, in dollars, a shop makes for selling sodas, where x is the number
Rudik [331]

9514 1404 393

Answer:

  C- (14, 4); The vertex represents the maximum profit.

Step-by-step explanation:

The leading coefficient of the quadratic function is negative, so the graph opens downward, and the vertex represents a maximum.

The maximum value is at ...

  x = -b/(2a) = -28/(2(-1)) = 14

  f(14) = -14^2 +28(14) -192 = 4

The vertex is (14, 4). It represents the maximum profit.

4 0
2 years ago
Write as an expression: twice the product of the cube of a and the square of b
Tju [1.3M]

Answer:

the square root of 2(x^3 * x^2)

Step-by-step explanation:

twice means 2 and product means either division or multiplication (multiplication in this scenario because twice means multiply).  cubed means to the third power

note i don't know how to put a square root sign so i wrote it out

hope i helped

8 0
3 years ago
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What is the place value of the 7 in 436.967
kipiarov [429]

Answer:

thousandths

Step-by-step explanation:

7 0
3 years ago
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