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gogolik [260]
3 years ago
5

A bag contains two red marbles, four green ones, one lavender one, four yellows, and six orange marbles. HINT [See Example 7.] H

ow many sets of four marbles include one of each color other than lavender
Mathematics
1 answer:
Rama09 [41]3 years ago
6 0

Answer:

192

Step-by-step explanation:

There are a total of 15 marbles . When the lavender is left out 14 remain.

Using combinations we find that each of the four color marbles can be chosen in the following way.

2C1*4C1*4C1*6C1= 2*4*4*6=  192

We select  one of the two red marbles , one of the four green marbles, one of the four yellow marbles, one of the 6 orange marbles leaving the lavender out.. We apply combinations and then multiply to get the answer.

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The length of a rectangle is 7 more than the width the area is 744 square centimeters find length and width of rectangle
andrezito [222]

Answer:

l=31\ cm\\\\w=24\ cm

Step-by-step explanation:

The formula that is used to calculate the area of a rectangle is:

A=lw

Where "l" is the lenght and "w" is the width.

You know that the area of that rectangle is:

A=744\ cm^2

And, according to the exercise, its lenght is 7 more than its width; then:

l=w+7

Then, you can make the corresponding substitution into the formula A=lw:

 744=(w+7)w

Simplify:

744=w^2+7w\\\\w^2+7w-744=0

Factor the equation. Find two numbers whose sum is 7 and whose product is -744. These are 31 and -24.

Then, you get:

(w-24)(w+31)=0\\\\w_1=24\\\\w_2=-31

The width of the rectangle is the positive value:

w=24\ cm

Then, the lenght is:

l=24+7\\\\l=31\ cm

8 0
3 years ago
What is the value of the expression 0.52?
polet [3.4K]

Answer:

0.25

Step-by-step explanation:

lets say you have half a cake

multiplying a decimal is the same as multiplying its counterpart

basically, you divide half a cake in half

0.25 of a cake, or 1/4

uwu

6 0
3 years ago
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What is the area of the circle to the nearest tenth of a unit?
kodGreya [7K]

Answer:

15.2

Step-by-step explanation:

PiRsquared

Pi x 2.2²

5 0
3 years ago
Choose all the number sentences that have a sum less than 345,195: A) 189,753 + 155,655 B) 324,675 + 19,285 C) 185,476 + 155,923
fgiga [73]

Answer:

C, D

Step-by-step explanation:

Calculate the sum of all.

C and D have less then 345,195.

That is the answer.

5 0
3 years ago
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Linda cut a piece of wood for project the first cut is Shawn and can be represented by the equation Y=1/4x-5 Lisa can’t cut need
GuDViN [60]

Lisa's cut will be represented by the equation y = 1/4x + 4


6 0
3 years ago
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