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Nitella [24]
3 years ago
9

There are 3 boys for every 2 girls in a dance competition. Does it make sense for there to be a total of 9 people in the competi

tion? Explain.
Mathematics
2 answers:
rjkz [21]3 years ago
6 0

Answer:

Yes

Step-by-step explanation:

3:2 = 5 people

3:1 = 4 people

5+4=9 people

dimulka [17.4K]3 years ago
3 0
3:2=5
so girls are 2:5
set up the proportion
2/5=x/9
5x=18
x=3.6 girls; doesn’t work so no!

another way you can look at it is because there are 3 boys for every 2 girls, add 2 more girls, you’ll get 3 more boys
that makes the total of 10 people so 9 is impossible
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Find an equation of the line through these points (15,2.2) (5,1.6). Write answer in a slope-intercept form
nadya68 [22]

Answer:

y=\frac{\displaystyle 3}{\displaystyle 50}x+\frac{\displaystyle 13}{\displaystyle 10}

Step-by-step explanation:

Hi there!

Slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when x is 0)

<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>

m=\frac{\displaystyle y_2-y_1}{\displaystyle x_2-x_1} where two given points are (x_1,y_1) and (x_2,y_2)

Plug in the given points (15,2.2) and (5,1.6):

m=\frac{\displaystyle 1.6-2.2}{\displaystyle 5-15}\\\\m=\frac{\displaystyle -0.6}{\displaystyle -10}\\\\m=\frac{\displaystyle 0.6}{\displaystyle 10}\\\\m=\frac{\displaystyle 0.3}{\displaystyle 5}\\\\m=\frac{\displaystyle 3}{\displaystyle 50}

Therefore, the slope of the line is \frac{\displaystyle 3}{\displaystyle 50}. Plug this into y=mx+b:

y=\frac{\displaystyle 3}{\displaystyle 50}x+b

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

y=\frac{\displaystyle 3}{\displaystyle 50}x+b

Plug in a given point and solve for b:

1.6=\frac{\displaystyle 3}{\displaystyle 50}(5)+b\\\\1.6=\frac{\displaystyle 3}{\displaystyle 10}+b\\\\1.6-\frac{\displaystyle 3}{\displaystyle 10}=\frac{\displaystyle 3}{\displaystyle 10}+b-\frac{\displaystyle 3}{\displaystyle 10}\\\\\frac{\displaystyle 13}{\displaystyle 10}=b

Therefore, the y-intercept is \frac{\displaystyle 13}{\displaystyle 10}. Plug this back into y=\frac{\displaystyle 3}{\displaystyle 50}x+b:

y=\frac{\displaystyle 3}{\displaystyle 50}x+\frac{\displaystyle 13}{\displaystyle 10}

I hope this helps!

5 0
3 years ago
25 POINTS Trina's Toy Company charges $0.85 per pound to ship toys.
d1i1m1o1n [39]

Answer:

Part A

C = $.85p

For 2 pounds , the charge is $1.70

Part B

C = $.05 * p

Step-by-step explanation:

Part A

Cost = charge per pound * pounds

We know the charge per pound is $.85

C = $.85 * p

We want to ship 2 pounds

C = .85*2

C = 1.70

Part B

Cost = charge per pound * pounds

We know the charge per pound is now $.05

C = $.05 * p


3 0
3 years ago
BRAINLIEST ANSWER!! ASAP<br><br> 3(x+1)+6=-9<br> PLEASE EXPLAIN HOW YOU GOT THE ANSWER
Kryger [21]

Answer:

x=-6

Step-by-step explanation:

use distributive property on the () and times x and 1 by three

then you subtract 6 from both sides

then subtract three from both sides

then divide both sides by 3

your work would look like this:

3(x+1)+6=-9

3x+3+6=-9

3x+3=-15

3x=-18

x=-6

Hope this helps!

8 0
3 years ago
Read 2 more answers
find the height of the cylinder below whose volume is approximately 1000 cubic inches use 3.14 for pi round your answer to the n
gtnhenbr [62]

Answer:

h = 1000 / (3.14)(r²)

Step-by-step explanation:

Given in the question,

volume of cylinder = 1000 inches³

Formula to use

V = πr²h

where V = volume

           π = 3.14

           r = radius

           h = height

1000 = (3.14)(r²)(h)

h = 1000 / (3.14)(r²)

               

5 0
4 years ago
What is the value of "?" if the Perimeter = 50 km?
777dan777 [17]

Answer:

14km

Explanation

11km + 11km = 22km is the sum of both the width.

If you want to find the length than minus the perimeter with 22.

50km - 22km = 28km is the sum of both the length.

To know only one side of the length, divide it by 2.

28km/2 = 14km is the length

6 0
3 years ago
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