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Zepler [3.9K]
3 years ago
5

Our class voted for class treasurer. There are 20 students in our class. After voting for class treasurer, Billy received 3 time

s more votes than Keeton. How many votes did Billy receive?
a. 5 votes
b. 10 votes
c. 15 votes
d. 20 votes
Mathematics
1 answer:
Temka [501]3 years ago
3 0
Let Keeton receive    x    votes.

Billy received 3 times more =  3*x = 3x

If all the 20 students voted, the total votes would be equal to x.

3x + x = 20

4x = 20

x = 20/4

x = 5

Since Billy received 3x =  3*5 = 15

Option C.
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How many different arrangements can be made with ten pieces of silverware laid in a row if three are identical spoons, four are
LuckyWell [14K]

10 pieces of silverware laid in a row if 3 are identical spoons, 4 are identical forks, and 3 are identical knifes

The arrangement of 'm' objects on which 'n' objects are of same kind is \frac{m!}{n!}

Given: 10 pieces of silverware so its 10!

3 are identical spoons so its 3!

4 are identical forks so its 4!

and 3 are identical knifes so its 3!

Arrangements made = \frac{10!}{3!*4!*3!} = 4200




4 0
3 years ago
Find the slope of the line through p(-9,-3) and q(-5,-15)
irina [24]
Slope = (-3 - (-15))/(-9 - (-5)) = - 12/4 = -3
4 0
3 years ago
Read 2 more answers
Distance between orlando and jacksonville
mart [117]
2 hours and 4 mins or you can say 140.6 miles
7 0
3 years ago
Read 2 more answers
Twoooooooooooooooooooooooooooo
KatRina [158]

Answer:

n = 60.22

Step-by-step explanation:

Hello

To find Sn, we need to draw out equations for each a₇ and a₁₉

In an arithmetic progression,

Sn = a + (n-1)d

Where Sn = sum of the A.P

a = first term

d = common difference

a₇ = 32

32 = a + (7-1)d

32 = a + 6d ........equation (i)

a₁₉ = 140

140 = a + (19-1)d

140 = a + 18d .........equation (ii)

Solve equation (i) and (ii) simultaneously

From equation (i)

32 = a + 6d

Make a the subject of formula

a = 32 - 6d .....equation (iii)

Put equation (iii) into equation (ii)

140 = (32 - 6d) + 18d

140 = 32 - 6d + 18d

Collect like terms

140 - 32 = 12d

12d = 108

d = 108 / 12

d = 9

Put d = 9 in equation (i)

32 = a + 6(9)

32 = a + 54

a = 32 - 54

a = -22

When Sn = 511

Sn = a + (n - 1)d

Substitute and solve for n

511 = -22 + (n-1) × 9

511 = -22 + 9n - 9

511 = -31 + 9n

511 + 31 = 9n

542 = 9n

n = 542 / 9

n = 60.22

5 0
3 years ago
Is domain of f(x,y) = 1 + (4 -y^2)^1/2 open, closed or neither<br><br> is it bounded or unbounded?
omeli [17]

Answer:

Closed and Bounded.

Step-by-step explanation:

Hi there!

1) Let's start by finding the values in which the function is defined. Remember that this can be rewritten:

f(x,y) = 1 + (4 -y^2)^{\frac{1}{2}} \:id\:est\:f(x,y)=1+\sqrt{(4 -y^2)}

Since every quadratic root are defined for values \geq 0  then, this help us to understand that we need calculate what interval this Domain is:

4-y^{2} \geq 0\\4-y^{2}-4\geq -4\\-y^{2}\geq-4 \\y^{2}\leq4\\-2\leq y\leq 2

D=[-2,2]

2) Graphically speaking, the domain is closed. For the values -2 and 2 are included, and bounded.

Bounded functions have all of their points contained by some circle origin centered. Check it out below.

6 0
3 years ago
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