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Murljashka [212]
3 years ago
14

1. Timika is a counselor at a summer camp for young children. She wants to take 20 campers on a hike and wants to

Mathematics
1 answer:
OLga [1]3 years ago
3 0

Answer: N = 20C2 = 190

Therefore, Timika has 190 ways of choosing the pairs of children to lead the way

Step-by-step explanation:

Given;

Total number of children = 20

Number of children to lead the way = 2

Since all the children have equal possibilities of being selected to lead the way, and for the order is not important.

Then the number of ways to select two leaders from 20 children will be given by;

N = 20C2 = 20!/2!(20-2)! = 20!/2!18!

N = 20 × 19/2

N = 190

Therefore, Timika has 190 ways of choosing the pairs of children to lead the way

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How do you do this please help
nadezda [96]
You can create the equation 1.20x + 2.50y = 300
Where 1.20 is the price of each vinca flower, x is how many vinca you will buy, 2.50 is the price of each phlox flower, y is how many plhox you will buy and 300 is how much money you have.

To get three combinations of how many plhox and vinca flowers you ( or the gardner can buy) with 300, you can just take a random value for x or y, apply it to the equation and then solve the equation for the other
variable ( x or y).
This means:
Pick a number of how many flower you will get of ONE type of flower ( ONLY ONE)
The gardner will not get any Vinca flowers, then x = 0
( as x = how many vinca flower the gardner will get)
now apply 0 to x ( this means substitute x with 0)

(1.20)(0) + 2.50y = 300
Since any number x 0 is 0, the equation will be
0 + 2.50y = 300 or just 2.50y = 300

Now to solve an equation we just need to isolate the variable (y) on one side of the equation and the value on the other.
We can do that by dividing both sides of the equation, so 2.50y turns into 2.50/2.50 times y which is just y.

2.50/2.50 y = 300/2.50
y = 120
And since we chose the value for how many vincas we would buy, we have the x value as well ( 0)
x = 0

So 1 combination can be: 0 Vinca and 120 Plhox

Combination #2 ( I ll stop explaining the steps since I already explained how to do it)

y = 0 ( I chose not to buy any Plhox)

1.20x + (2.50)(0) = 300
1.20x = 300
1.20/120x = 300/120x
x = 25
y= 0
Combination 2: 25 Vincas and 0 plhox

Combination #3:
x = 100 ( I chose to buy 10 vincas)
(1.20)(100) + 2.50y = 300
120 + 2.50y = 300
( I didnt explain thow to isolate a variable in this situation so ill explain it: to isolate this esquation we can subtract 12 from both sides of the equation so 12 cancels out. We need to do it on both sides because otherwise the first side wouldnt be equal to the other sode, and that wouldnt be an equation)

120 - 120 + 2.50y = 300 - 120
2.50y = 180
y = 72
x = 100

Combination 3: 100 Vinca and 72 Plox

I know this is long but I hope it was helpful to you if you didnt know how to solve equations :)


3 0
3 years ago
PLEASE HELP 7TH GRADE 100 PTS!!!
MariettaO [177]

f(x) = 5x is linear. Just a straight line with a slope of +5. So if the intervals are both a difference of 1, then the average rate of change will be the same.

f(x2) - f(x1) over x2 - x1. That's the formula for average rate of change.

So for Section A:

f(x) = 5x, (0,1)

[f(1) - f(0)]/(1-0)

= [5(1) - 5(0)]/1

=(5)/1

=5

Do the same for section B and you'll get 5 as well.

I hope this helps you because I have no clue if my answer is right

6 0
3 years ago
Brainly Please help me<br> Anybody plssss
Rom4ik [11]

C) 94 degree's


All triangles add up to 180 degree's


180 - ( 52+34) = 94


- R3KTFORGOOD ☕

7 0
3 years ago
Read 2 more answers
Find the slope of the line that passes through the two points (0,1) and (-8, -7)
Crazy boy [7]

Answer:

<h3>The slope of the line is 1</h3>

Step-by-step explanation:

The slope of a line is found by using the formula

m =  \frac{y2 - y1}{x2 - x1}

where

m is the slope and

(x1 , y1) and ( x2 , y2) are the points

Substituting the above values into the above formula we have

Slope of the line that passes through

(0,1) and (-8, -7) is

m =  \frac{ - 7 - 1}{ - 8 - 0}  =  \frac{ - 8}{ - 8}  = 1

<h3>The slope of the line is 1</h3>

Hope this helps you

5 0
3 years ago
Evaluate the expression 3 * 5 x when x is 2.
Ivahew [28]

Answer:

3 * 5x

3 * 5(2)

3 * 10

30

5 0
3 years ago
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