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sweet-ann [11.9K]
2 years ago
11

If you need 2 liters of soda for every 12 students at the school dance, and you sold 360 student tickets to the dance. About how

many liters of soda should you buy so that you have enough for all 360 students at the dance.
Explain the answer please
PLEASE HELP I WILL GIVE BRAINLIEST!!
(the name of the video to help is "Math Antics - Proportions"
Mathematics
2 answers:
Arada [10]2 years ago
6 0
60 because 2 for 12 so u wil need 6 for 36 and then x10 which is 60
GalinKa [24]2 years ago
4 0

Answer:

60 liters

Step-by-step explanation:

360/12=30

30x2=60 liters

Hope this helps! :)

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If a cyclist increases his speed by 3 miles per hour, he can reduce the time required for a 6 mile trip by 10 minutes. What is t
raketka [301]

Answer:

Slower speed = 9 mph

Step-by-step explanation:

Let the initial speed (slower speed) = s mph

Speed 's' = \frac{\text{Distance}}{\text{Time}}

            s = \frac{6}{t} -------(1)

If the cyclist increases the speed by 3 mph then the final speed = (s + 3) mph

He can reduce the time 't' by 10 minutes (\frac{1}{6} hours)

Now, (s + 3) = \frac{6}{t-\frac{1}{6}}

s + 3 = \frac{36}{6t-1} --------(2)

Substitute the value of 's' from equation (1) to the equation (2).

\frac{6}{t}+3=\frac{36}{6t-1}

\frac{2}{t}+1=\frac{12}{6t-1}

\frac{2}{t}-\frac{12}{6t-1}=-1

\frac{2(6t-1)-12t}{t(6t-1)}=-1

\frac{12t-2-12t}{t(6t-1)}=-1

-\frac{2}{t(6t-1)}=-1

6t² - t = 2

6t² - t - 2 = 0

6t² - 4t + 3t - 2 = 0

2t(3t - 2) + 1(3t - 2) = 0

(2t + 1)(3t - 2) = 0

t = -\frac{1}{2},\frac{2}{3} hours

But the time can't be negative.

Therefore, t = \frac{2}{3} hours is the answer.

From equation (1),

s = \frac{6}{\frac{2}{3}}

s = 9 miles per hour.

Slower speed = 9 mph is the answer.

6 0
2 years ago
5/6 divided by 3????? Pls help
Oduvanchick [21]
5/6 divided by 3/1

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6 0
3 years ago
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Find the area of the trapezoid. Round to the nearest hundredth.
Margaret [11]

Answer:

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Step-by-step explanation:

A=a+b

2h=8.5+13.75

2·3.25=36.15625

3 0
2 years ago
Please help me with this equation
natita [175]

Answer:

u just expand the brackets out and make a linear equation to solve from there

Step-by-step explanation:

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3 years ago
Please solve it help me ..............<br>​
Sedbober [7]

Answer:

(a) = iv

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