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weeeeeb [17]
3 years ago
12

Number 5 says: a punch recipe that serves 24 people calls for 4 liters of lemon-lime soda,2 pints of sherbet and 6 cups of ice.

A .Complete a ratio table to represent this situation B. How much of each ingredient would you need to make an identical recipe that serves 12 people?36 people?

Mathematics
1 answer:
Marianna [84]3 years ago
3 0
A. 2 liters lemon lime soda 1 pint ice cream 3 cups of ice

B. 6 liters lemon lime:3 pint ice cream:9 cups ice
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What is the slope of the line that contains the points (3,1) and (2,-3)
Goryan [66]

\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-3}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-3-1}{2-3}\implies \cfrac{-4}{-1}\implies 4

8 0
3 years ago
An airplane must clear a 60-foot pole at the end of a runway 500 yards long determine the angle of elevation at which the airpla
Marat540 [252]

Answer:

2.3 degrees.      

Step-by-step explanation:

Please find the attachment.

We are told that an airplane must clear a 60-foot pole at the end of a runway 500 yards long.

Let us convert 500 yards to feet.

1 yard= 3 feet.

500 yards= 3*500 feet= 1500 feet.

We can see from our attachment pole and runway are in form of a right triangle. The pole is opposite to angle of elevation of plane and length of runway is adjacent.

Since tangent represents the relation between opposite and adjacent of right triangle, So we will use tangent to find angle of elevation that plane must ascend to clear the pole.  

tan(\theta)=\frac{60}{1500}    

\theta=\tan^{-1}(\frac{60}{1500} )

\theta=\tan^{-1}(0.04)

\theta=2.290610042639

Therefore, the airplane must ascend 2.3 degrees to clear the pole.

8 0
3 years ago
Each students in class 38 students was asked to report how many siblings he has. Data a 0/38 Data b 1/38 Data c 13/38 Data 8/38
Nezavi [6.7K]

Answer:

8/38

Step-by-step explanation:

You got it right, trust yourself

4 0
3 years ago
A line is shown in the graph below.
kondaur [170]

Answer:

-2/3

Step-by-step explanation:

This means that if a line is perpendicular to a line that has slope m, then the slope of the line is -1 / m. For example, we found that the slope of the line y = (1/2)x + 3 is 1/2. This is why any line that is perpendicular to this line would have slope -2 /1 = -2.

8 0
3 years ago
7) Solve the following system of equations below algebraically using substitution.
Pani-rosa [81]

Answer:

x = 3.25

y =4.75

Step-by-step explanation:

In order to Solve the following system of equations below algebraically using substitution method we say that;

let;

8x - 4y = 7 ..................... equation 1

x + y = 8.......................... equation 2

from equation2

x + y = 8.......................... equation 2

x = 8 - y.............................. equation 3

substitute for x in equation 1

8x - 4y = 7 ..................... equation 1

8(8-y) - 4y = 7

64-8y-4y=7

64-12y=7

collect the like terms

64-7 = 12y

57= 12y

divide both sides by the coefficient of y which is 12

57/12 = 12y/12

4.75 = y

y =4.75

put y = 4.75 in equation 3

x = 8 - y.............................. equation 3

x = 8 -4.75

x = 3.25

to check if your answer is correct, put the value of x and y in either equation 1 or 2

from equation 2

x + y = 8.......................... equation 2

3.25 + 4.75 =8

8=8.................... proved

8 0
4 years ago
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