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Studentka2010 [4]
2 years ago
5

I have four identical oranges. How many ways are there for me to divide these oranges into at most three groups?

Mathematics
1 answer:
Alina [70]2 years ago
5 0

Answer:

"At most" connotes 1, 2 or 3 groups

For one group = one way....all of them together

For two groups.....2 + 2  or 3 + 1  = two ways   ...{the oranges are indistinguishable, so 1 + 3 is the same grouping as 3 + 1 }

For 3 groups = 1 + 1 + 2  = one way   {again, they are indistinguishable}

So ….. four ways.....

Step-by-step explanation:

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The number 66 is increased to 72. What is the percentage by which the number was increased, to the nearest tenth of a percent?
Lunna [17]

Answer:

The increase is 9.1%

Step-by-step explanation:

<u>Step 1:  Make an equation </u>

66 * x = 72

66x = 72

<u>Step 2:  Divide both sides by 66 </u>

66x / 66 = 72 / 66

x = 1.09090

<u>Step 3:  Find the increased </u>

1 - 1.09090

0.091 * 100

9.1%

Answer:  The increase is 9.1%

6 0
3 years ago
Spring stretches by 21.0 cm when a 135 n object is attached. what is the weight of a fish that would stretch the spring by 62.1
Marta_Voda [28]
Caution:  you need to use the same units of measurement throughout.  If the spring stretches by 21 cm when a 135 newton object is attached, then you must ask for the mass (in newtons) of a fish that would stretch the spring by 62.1 cm.

We will need to assume that the spring is not stretched at all if and when no object is attached to the spring.

Write the ratio

                21.0 cm        135 newtons
               ------------- = --------------------
                 62.1 cm               x

Solve this for x.  This x value represents the mass of a fish that would stretch the spring by 62.1 cm.  You can cancel "cm" in the equation above:

21.0      135 newtons
------ = --------------------
62.1               x

Then 21.0x = (62.1)(135 newtons).  Divide both sides of this equation by 21.0 to solve it for x.
7 0
3 years ago
Read 2 more answers
What is the area of the right triangle shown?
prisoha [69]
The 30:60:90 proportion is 1:sqrt 3: 2

So,

x = 10/2
x = 5

y = 10/sqrt 3

Finding the area:

1/2 * 5 * 10/sqrt 3
25/sqrt 3

Hope this helps!
3 0
3 years ago
Enter an equation in point-slope form for the line.<br> Slope is 9 and (−3, −1) is on the line.
Korolek [52]

Answer:

y+1=9(x+3)

Step-by-step explanation:

Since the equation for point slope form is y-y₁=m(x-x₁)

enter the given points (-3,-1)

y-(-1)=9(x-(-3))

y+1=9(x+3)           <-- point slope form

8 0
3 years ago
Determine the median of the numbers: 6 5 2 2 5 00
zavuch27 [327]

Answer:

2

Step-by-step explanation:

6 0
3 years ago
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