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ikadub [295]
3 years ago
15

Each of 12 people chose an integer from 1 to 5, inclusive. Did at least one person choose the number 1?

Mathematics
1 answer:
quester [9]3 years ago
6 0

Answer:

Yes

Step-by-step explanation:

If no number was chosen by more than 3 people and more people chose the number 5 than the number 4, then in the worst scenario (least amount of people chose the number 1) the number 4 was chosen 2 times and the number 2, 3 and 5 were chosen 3 times. That makes a total of 3*3+2 = 11, so 1 person choose the number 1. This was the worst scenario, that guarantees that at least 1 person choose the number 1.

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Simplify 15x + 2y + 7x + 8y
omeli [17]

Answer:

22x+10y

Step-by-step explanation:

15x + 2y + 7x + 8y ----> 22x+10y

6 0
3 years ago
A train leaves at 14:56 and arrives at 16:43. It travelled at an average speed of 135 km/h. How far did it travel? Give your ans
Firlakuza [10]

Answer:

240.8

Step-by-step explanation:

→ Calculate time taken

16:43 - 14:56 = 1 hour and 47 minutes

→ Write the speed formula and make distance the subject

Speed = Distance ÷ Time ⇔ Distance = Speed × Time

→ Convert 1 hour and 47 minutes into decimal format

1.78333333 or  1\frac{47}{60}

→ Substitute values into formula

135 ×  1\frac{47}{60}  = 240.75

8 0
3 years ago
If f(x) = <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B9%7D" id="TexFormula1" title="\frac{1}{9}" alt="\frac{1}{9}" align=
boyakko [2]

Answer:

Solution given:

f(x) = \frac{1}{9} x-2

let f(x)=y

y = \frac{1}{9} x-2

interchanging role of x and y

x= \frac{1}{9} y-2

x+2= \frac{1}{9} y

y=9(x+2)

y=9x+18

So

<u>F</u><u>-</u><u>¹</u><u>(</u><u>x</u><u>)</u><u>=</u><u>9</u><u>x</u><u>+</u><u>1</u><u>8</u>

<u>a</u><u>n</u><u>d</u>

<u>F</u><u>-</u><u>¹</u><u>(</u><u>-</u><u>1</u><u>)</u><u>=</u><u>9</u><u>*</u><u>-</u><u>1</u><u>+</u><u>1</u><u>8</u><u>=</u><u>-</u><u>9</u><u>+</u><u>1</u><u>8</u><u>=</u><u>9</u>

6 0
3 years ago
Katy buys 4 DVDs every 2 weeks how many will she buy in 10
malfutka [58]

If she maintains her average amount of movies bought every week, then she will buy 20 DVDs in 10 weeks. Explanation: she buys 4 every week, so if we want to find out how many are in 10 weeks, we must multiply two until we get to 10 ( five weeks ) then multiply that buy her average of movies. And that is how we get the answer of 20 DVDs! ( her at least I did )

Anyways, hope this helps!

5 0
3 years ago
Read 2 more answers
How to rewrite the sum of 96 80 using distributive property?
elena-14-01-66 [18.8K]
96+80= (100-4)+(100-20)
= 200-24
=174
4 0
3 years ago
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