1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Galina-37 [17]
3 years ago
15

Representatives running for office are handing out items to voters. Every 8th voter gets a button. Every 10th voter gets a stick

er.
Which voter is the first to receive both items?

Drag and drop the answer into the box to complete the statement.


The th voter receives both items.

a 4th
b 5th
c 8th
d 9th
e 10th
f 24th
g 40th
h 48th
i 80th
Mathematics
1 answer:
seropon [69]3 years ago
3 0
I)
Every 8.th voter gets a button:

so a sequence of the voters who receive a button is:

8, 16, 24, 32, ....   that is  8*1, 8*2, 8*3, 8*4, .... in general: 8k for some integer k  

ii)

Every 10.th voter gets a sticker, so the voters who receive stickers are the :

10, 20, 30, 40, .... voters    that is 10*1, 10*2, 10*3, 10*4... in general 10t

for some integer t


iii) what we are looking for is the first number which is 8k and 10t at the same time.

8k=2*2*2k, 
10t=2*5t

Thus this number must be divisible by 2*2*2*5*{some positive integer}

the smallest number is when the positive integer is 1, thus the number is 

2*2*2*5=8*5=40


Answer: g. the 40th
You might be interested in
Which binomial is a factor of 9x^2+24xy+16y^2
gregori [183]

Answer: (3x + 4y)(3x + 4y)

Step-by-step explanation: So you are supposed to "unfoil". So you would find two numbers multiplied together to make 9x^2 which would be 3x. Then you would find two numbers that can be multiplied together to get 16y^2 which would be 4y. To check your work, you do 3x times 3x. Then 4y times 4y. Then 4y times 3x plus 3x times 4y. You get 9x^2 + 24xy plus 16y^2.

7 0
3 years ago
Read 2 more answers
A standard showerhead in Sonia's house dispenses 12 gallons of water per minute. Sonia changed this showerhead to an energy-savi
diamong [38]

Sonia saves a lot of water. To figure this out, you plug the number 8 into the equation, replacing it with the variable x. y = 3(8). Therefore, y=24. To find out how much water she saves, you have to also figure out how much water she was using for 8 minutes with the other shower head, the one that wastes the water. Since it dispenses 12 gallons per minute, you multiply that by 8 minutes and get 96. Subtract 24 from 96 and get 72. Which I think is your answer. Then again, I'm in high school so I most likely am wrong.

7 0
3 years ago
Y=a|x-h|+k please help
RSB [31]

Answer:

i can't answer this but i can tell you this

The general form of an absolute value function is f(x)=a|x-h|+k. From this form, we can draw graphs.

y = a(x – h)2 + k, where (h, k) is the vertex. ... In the vertex form of the quadratic, the fact that (h, k) is the vertex makes sense if you think about it for a minute, and it's because the quantity "x – h" is squared, so its value is always zero or greater; being squared, it can never be negative.

Step-by-step explanation:

it is not the answer but i hope it helps:)

7 0
2 years ago
Write the solution to the inequality in set - builder notation:<br> 5r + 8 &lt; 63
Leni [432]
<span>First, the inequality needs to be solved. The first step is to subtract 8 from both sides of the inequality, leading to 5r < 55. Dividing 5 out from both sides, this will leave r < 11. Next, to form a set notation, the inequality is written in such form: {r | r < 11}.</span>
7 0
3 years ago
Steve has at most $80 to spend at a store. He wants to buy a movie that costs $22. He also wants to buy DVDs that cost $7.00 eac
Degger [83]

Answer:

80 is less than or equal to 22+7x

8 DVDs

Step-by-step explanation:

I don't have the inequality signs sorry if you don't know its the symbol thats opening to the left with a line underneath

80 is less than or equal to 22+7x

subtract 22

58 is less than or equal to 7x

divide and flip the sign to the right

x is greater than or equal to 8.29

so he can buy 8 DVDs in total

5 0
3 years ago
Other questions:
  • Math help!!!!! thanks!!!!!!!
    6·2 answers
  • Please i need math help
    10·1 answer
  • What number gives a result of -5 when 10 is subtracted from the quotient of the number and 5
    10·1 answer
  • List these numbers from least to greatest. -10, 20, -30, 15
    11·2 answers
  • Question 2 Multiple Choice worth 5 pont)
    10·1 answer
  • What is the area of the figure?
    13·1 answer
  • ASAP please
    14·2 answers
  • Find the following percents. Round to the nearest thousandth when necessary. 6% of 300.
    11·1 answer
  • Help!! Will mark brainliest
    5·2 answers
  • "The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures the motivation, attitude toward school, a
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!