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tatyana61 [14]
3 years ago
12

A lemonade mix calls for 2 tablespoons of mix for every 3 cups of water. If the container

Mathematics
2 answers:
nikklg [1K]3 years ago
4 0

Answer:

36 cups of water

Step-by-step explanation:

Make a proportion, where x is the number of cups of water needed:

\frac{2}{3} = \frac{24}{x}

Cross multiply and solve for x:

2x = 72

x = 36

So, 36 cups of water will be needed

Tcecarenko [31]3 years ago
3 0

Answer:

36

Step-by-step explanation:

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Which is the correct first step in finding the height of a cylinder with a volume of 192 pi cubic inches and a radius of 5 inche
svlad2 [7]

Plug in the volume and radius into the formula, then multiply.

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I have 10 apples, I give away 2, how many apples do I have left
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What is the slope of the line that passes through the points (7, -4) and (7, 0)? Write your answer in the simplest form.
olga55 [171]

Answer:

The slop is undefined

i.e. m=\infty

Step-by-step explanation:

Considering the slope formula

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

As the points are (7, -4) and (7, 0)

Here:

  • (x₁, y₁) = (7, -4)
  • (x₂, y₂) = (7, 0)

\mathrm{When\:}y_1\ne \:y_2\mathrm{\:and\:}\:x_1=x_2\mathrm{\:the\:slope\:is\:}\infty

so

  \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

            =\frac{\left(0-\left(-4\right)\right)}{\left(7-7\right)}

             =\frac{0-\left(-4\right)}{0}

             =\infty    

Therefore, the slop is undefined i.e. m=\infty

5 0
3 years ago
Two cars simultaneously left Points A and B and headed towards each other, and met after 2 hours and 45 minutes. The distance be
Oksana_A [137]
<h2>Hello!</h2>

The answers are:

FirstCarSpeed=41mph\\SecondCarSpeed=55mph

<h2>Why?</h2>

To calculate the speed of the cars, we need to write two equations, one for each car, in order to create a relation between the two speeds and be able to calculate one in function of the other.

So,

Tet be the first car speed "x" and the second car speed "y", writing the equations we have:

For the first car:

x_{FirstCar}=x_o+v*t

For the second car:

We know that the speed of the second car is the speed of the first car plus 14 mph, so:

x_{SecondCar}=x_o+(v+14mph)*t

Now, from the statement that both cars met after 2 hours and 45 minutes, and the distance between to cover (between A and B) is 264 miles,  so, we can calculate the relative speed between them:

If the cars are moving towards each other the relative speed will be:

RelativeSpeed=FirstCarSpeed-(-SecondCarspeed)\\\\RelativeSpeed=x-(-x-14mph)=2x+14mph

Then, since we know that they covered a combined distance equal to 264 miles in 2 hours + 45 minutes, we have:

2hours+45minutes=120minutes+45minutes=165minutes\\\\\frac{165minutes*1hour}{60minutes}=2.75hours

Writing the equation:

264miles=(2x+14mph)*t\\\\264miles=(2x+14mph)*2.75hours\\\\2x+14mph=\frac{264miles}{2.75hours}\\\\2x=96mph-14mph\\\\x=\frac{82mph}{2}=41mph

So, the speed of the first car is equal to 41 mph.

Now, for the second car we have that:

SecondCarSpeed=FirstCarSpeed+14mph\\\\SecondCarSpeed=41mph+14mph=55mph

We have that the speed of the second car is equal to 55 mph.

Hence, the answers are:

FirstCarSpeed=41mph\\SecondCarSpeed=55mph

Have a nice day!

7 0
3 years ago
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