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elena-14-01-66 [18.8K]
3 years ago
6

at the craft store, Alan bought a bag of orange and green marbles. the bag contained 25 marbles, and 40% of them where orange. h

ow many orange marbles did alan receive.
Mathematics
1 answer:
krek1111 [17]3 years ago
7 0

Answer:

There are 10 orange marbles

Step-by-step explanation:

There are 25 marbles in the bag

40% are orange

To determine the number of orange marbles, we multiply the total number of marbles  by the percent that are orange

25 *40% = number of orange marbles

25*.40

10

There are 10 orange marbles

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Creat a table of values for the equation y=-x-3
nadya68 [22]

Answer:

x /\ y

1  /\ -4

2 /\ -5

3 /\ -6

4 /\ -7

... /\ ...

Step-by-step explanation:

4 0
3 years ago
Show that n(n+1)(n+2) is divisible by 6<br>Solution<br>(​
vladimir2022 [97]

Proof by induction

Base case:

n=1: 1*2*3=6 is obviously divisible by six.

Assumption: For every n>1 n(n+1)(n+2) is divisible by 6.

For n+1:

(n+1)(n+2)(n+3)=

(n(n+1)(n+2)+3(n+1)(n+2))

We have assumed that n(n+1)(n+2) is divisble by 6.

We now only need to prove that 3(n+1)(n+2) is divisible by 6.

If 3(n+1)(n+2) is divisible by 6, then (n+1)(n+2) must be divisible by 2.

The "cool" part about this proof.

Since n is a natural number greater than 1 we can say the following:

If n is an odd number, then n+1 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.

If n is an even number" then n+2 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.

Therefore by using the method of mathematical induction we proved that for every natural number n, n(n+1)(n+2) is divisible by 6. QED.

6 0
3 years ago
(-13)+(-25).......-(-13)-(-25)
FinnZ [79.3K]

Answer:

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Step-by-step explanation:

5 0
3 years ago
Robert plans to make a box-and-whisker plot of the following set of data.
Lunna [17]

Answer:

lower quartile: 18; median: 27; upper quartile: 38

Step-by-step explanation:

The given set of data is

27, 14, 46, 38, 32, 18, 21

Arrange this set of data in numeric order

14,18,21,27,32,38,46

The given set of data has 7 numbers which is odd.

Median in the middle value. The middle value of the data is fourth value which is 27.

Hence, median = 27

Now, the first half of the set of data is

14,18,21

Middle value = 18

Hence, lower quartile = 18

The second half is 32,38,46

Middle value = 38

Hence, uper quartile = 38

Thus, the correct option is

lower quartile: 18; median: 27; upper quartile: 38



4 0
2 years ago
Read 2 more answers
Which of the following is the solution of the equation 3x + 4=19 use substitution to identify the correct answer
Ugo [173]

Answer:

5

Step-by-step explanation:

Step 1:

3x + 4 = 19

Step 2:

3x = 19 - 4

Step 3:

3x = 15

Answer:

x = 5

Hope This Helps :)

5 0
3 years ago
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