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Nat2105 [25]
3 years ago
14

Shannon is making identical balloon arrangements for a party. She has 32 maroon balloons, 24 white balloons, and 16 orange ballo

ons. She wants each arrangement to have the same number of each color. What is the greatest number of arrangements that she can make if every balloon is used?
Mathematics
1 answer:
marishachu [46]3 years ago
6 0

Answer:

8

Step-by-step explanation:

Given that:

Number of white balloon = 24

Number of maroon Ballon = 32

Number of orange Ballon = 16

To obtain the greatest number of arrangements ;

Find the greatest common factor of 24, 16 and 32

Factors of ;

24 = 1, 2, 4, 6, 8, 12, 24

16 = 1, 2, 4, 8, 16

32 = 1, 2, 4, 8, 16, 32

Hence, the greatest factor common to all three is : 8

Hence greatest number of arrangement that can be achieved is 8

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Use the equation below to find y , if m =4 ,x=8 and b=-1
Black_prince [1.1K]

Answer: y = 31

Step-by-step explanation:

The equation of a line is y = mx+b

Plugging in the values, we get

y = 4*8 + (-1)

y = 32-1

y = 31

7 0
3 years ago
Suppose that you are headed toward a plataeu 70m high. If the angle of elevation to the top of the platau is 35 degree how far a
SIZIF [17.4K]

Answer:

The distance you are from the base of plateau = 99.97\ m\approx 100\ m

Step-by-step explanation:

Given:

Height of plateau = 70 m

Angle of elevation to the top of plateau = 35°

To find the distance you are from the base of plateau.

We will construct a triangle ABC to model the given situation. The triangle would be a right triangle for which we know an angle and its opposite side. We need to find the adjacent side of the triangle.

We will apply trigonometric ratio to find the adjacent side.

\tan\theta=\frac{Opposite\ Side}{Adjacent\ Side}

where \theta represents the angle of reference.

Plugging in the values from the triangle.

\tan 35\° =\frac{BC}{AC}

\tan 35\° =\frac{70}{AC}

Multiplying both sides by AC.

AC\times \tan 35\° =AC\times \frac{70}{AC}

AC\times \tan 35\° =70

Dividing both sides by \tan 35\°

\frac{AC\times \tan 35\°}{\tan 35\°} =\frac{70}{\tan 35\°}

∴ AC=99.97\ m\approx 100\ m

The distance you are from the base of plateau = 99.97\ m\approx 100\ m

7 0
3 years ago
BRAINLIEST!!! 20 POINTS<br> What is the rate of change?
kvv77 [185]

Answer:

The rate of change is $15/day

Step-by-step explanation:

The rate of change, using the points (1,60) and (5,120)

m= (y2-y1) / (x2-x1)

  = (120-60)/ (5-1)

  = 60/4

  = 15

The rate of change is $15/day

5 0
3 years ago
Is Janelle correct? Yes, because the lines are not parallel. Yes, because the lines will intersect. No, because the lines are in
Over [174]

Answer:

Step-by-step explanation:

No, because the lines are in the same plane.

8 0
3 years ago
I need help I give thanks and follow
olga_2 [115]

Answer:

73,780

Step-by-step explanation:

2,108 x 35 = 73,780

5 0
3 years ago
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