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grin007 [14]
2 years ago
7

Sandy has 16 roses,8 daisies, and 32 tulips. She wants to arrange all the flowers in bouguets. Each bouguet has the same number

of flowers and the same type of flower. What is the greatest number of flowers that could be in a bouguet
Mathematics
1 answer:
avanturin [10]2 years ago
3 0

Answer:

Greatest number of flowers that can be used in a bouquet is 8.

Step-by-step explanation:

In this question greatest number of flowers used in a bouquet will be decided by the "Greatest Common Factor" of the numbers of the flowers given.

So, factors of 16 = 1×2×2×2×2

Factors of 8 = 1×2×2×2

Factors of 32 = 1×2×2×2×2×2

Common factors = 1×2×2×2

Greatest Common Factor of these numbers will be = 1×2×2×2 = 8.

Therefore, greatest number of flowers that could be in a bouquet is 8.

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Machines A and B always operate independently and at their respective constant rates. When working alone, Machine A can fill a p
pychu [463]

Answer:

The value of x is \frac{10}{3} hours.

Step-by-step explanation:

Machine A = 5 hours

Machine B = x hours

Machine A and B = 2 hours

Using the formula: \frac{T}{A}  + \frac{T}{B} = 1

where:

T is the time spend by both machine

A is the time spend by machine A

B is the time spend by machine B

\frac{2}{5}  + \frac{2}{x}  = 1

Let multiply the entire problem by the common denominator (5B)

5x(\frac{2}{5}  + \frac{2}{x} = 1)

2x + 10 = 5x

Collect the like terms

10 = 5x - 2x

10 = 3x

3x = 10

Divide both side by the coefficient of x (3)

\frac{3x}{3}  = \frac{10}{3}

x = \frac{10}{3} hours.

Therefore, Machine B will fill the same lot in \frac{10}{3} hours.

7 0
2 years ago
The graph of g(x) is the graph of f(x)=x+6 reflected across the x-axis. Which equation describes the function g?
nika2105 [10]
ANSWER

The correct answer is g(x)=-x-6

EXPLANATION

The mapping for reflection across the x-axis is given by (x,-y)

Given f(x)=x+6. We can let y=x+6

we can write the ordered pair (x,y) or (x,x+6) as the ordered pair of the preimage of f.

The image function will have the ordered pair (x,-y)

or

(x,-x-6).

That is, we negate all the y-coordinates.

Therefore

g(x)=-x-6.

4 0
2 years ago
Read 2 more answers
ΔABC is similar to ΔAXY by a ratio of 4:3. If BC = 24, what is the length of XY?
pogonyaev

Answer:

18

Step-by-step explanation:

24/4 = 6 so....

4*6 is 24 and 3*6 is 18

6 0
2 years ago
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If ΔONP is dilated from point N by a scale factor of segment NL over segment NP, which additional transformation could determine
Luba_88 [7]

Answer:

The answer is to rotate O"N"P 180 Degrees by point N

Step-by-step explanation:

This will show the similarity between the two triangles angles.

7 0
2 years ago
Read 2 more answers
Joseph claims that a scatterplot in which the y-values increase as the x-values increase must have a linear association. Amy cla
quester [9]

Answer:

Amy is correct because a nonlinear association could increase along the whole data set, while being steeper in some parts than others. The scatterplot could be linear or nonlinear.

Step-by-step explanation:

I just took the quiz, I hope this helps :).

7 0
2 years ago
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