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Nataly [62]
3 years ago
10

I have five apples and ten oranges. If a fruit basket must contain at least one piece of fruit, how many kinds of fruit baskets

can I make? (The apples are identical and the oranges are identical. A fruit basket consists of some number of pieces of fruit, and it doesn't matter how the fruit are arranged in the basket.)
Mathematics
1 answer:
liq [111]3 years ago
8 0

Answer:

65

Step-by-step explanation:

First, let's consider the case where you have 1 apple in the basket. The possible number of baskets you can have with 1 apple is 11: the case where you have no oranges besides the apples, the case where you have 1 orange, the case where you have 2 orange, etc.

This line of reasoning can be followed by each possible amount of apples you can have: 0, 1, 2, 3, 4 and 5.

Keep in mind that in the case where you have no apples, you must exclude the case where you also have no oranges, because the problem tells you that the basket must have at least 1 fruit.

So, the answer would be:

x = 6*11 -1 = 65 possible baskets

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Helpp please ! need to<br> show work for geometry
podryga [215]

Answer:

45 degrees

Step-by-step explanation:

AOB = 140°

and an the angle bisector(OC) is a line which will divide AOB into 2 equal angles

which is 140÷2= 70

and if AOD = 25 then COD= 70-25

= 45 degrees

hope it helps

3 0
3 years ago
A city has a population of 230,000 people. Suppose that each year the population grows by 9%. What will the population be after
zloy xaker [14]

<u>Answer:</u>

<h2><u>385,733</u></h2>

Step-by-step explanation:

If it grows by 9% each year, you can simply do the current population times 109%. Because its an additional 9%.

230,000*109% = 250,700

After the first year, there is a population of 250,700 people.

250,700*109% = 273,263

After the second year, there is a population of 273,263 people.

273,263*109% = 297,856.67

After the third year, there is a population of 297,856.67 people.

297,856.67*109% = 324,663.77

After the fourth year, there is a population of 324,663.77 people.

324,663.77*109% = 353,883.509

After the fifth year, there is a population of 353,883.509 people.

353,883.509*109% = 385,733.025

After the sixth year, there is a population of 385,733.025 people

Round it up to 385,733 people.

7 0
2 years ago
Consider the intersecting lines shown. Which of the following statements is true?
elixir [45]

Answer:

C. m∠x + m∠y = 180

Step-by-step explanation:

The two straight line in the diagram intersect each other to form two pairs of vertical angles. These are <x and <z, and <y and w.

The only statement from the given options that is true is m∠x + m∠y = 180.

This is because they are angles in a straight line. The sun of angles in a straight line is 180°.

3 0
3 years ago
A backpack costs $18 and has a 7 percent tax. How much will Sheila have to pay for the backpack after tax?
Dmitry_Shevchenko [17]

Answer:

19.26

Step-by-step explanation:

7% of 18 is 1.26

1.26+18=19.26

4 0
3 years ago
Mari used a thermometer to record temperatures of −3.4° Celsius and 1.6° Celsius. Which temperature in degrees Celsius is less t
Studentka2010 [4]

Answer: Qualquer temperatura menor que -3,4°C. Ou seja, -3,5 ; -3,6 ; ...

Step-by-step explanation:

8 0
3 years ago
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