The length of an object in feet is equal to three times its length in yards. The length of a waterslide is 48 feet. Write and pick equation to find the length of a waterslide in yards

Answers

Answer 1
Answer:

Answer:

Equation is: L=3y

Length in yards is 16 yards.

Step-by-step explanation:

Let 'L' represent length in feet and 'y' in yards.

Given:

Length of the waterslide is, L=48\ ft

Length in feet is three time its length in yards. Therefore,

Length in feet = 3* Length in yards.

L=3y

Dividing both sides by 3, we get:

(L)/(3)=(3y)/(3)\n\ny=(L)/(3)

Now, plug in 48 for 'L' and solve for 'y'. This gives,

y=(48)/(3)\n\ny=16\ yards

Therefore, the length of the waterslide of length 48 feet in yards is 16 yards.


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Out of the 180 students at a summer camp, 72 signed up for canoeing. There were 23 students who signed up for trekking, and 13 of those students also signed up for canoeing.Use a two-way table to organize the information and answer the following question:

Approximately what percentage of students signed up for neither canoeing nor trekking?

72%
40%
54%
98%

Answers

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

Total number of students = 180

Number of students who signed for canoeing (C) = 72

Number of students who signed for trekking (T) = 23

Number of student who signed for trekking is also signed for canoeing = 13

Number of students who only signed for canoeing (C) = 72-13=59

Number of students who only signed for trekking (T) = 23-13=10

So, Number of students who signed up either for canoeing or trekking is given by

n(C\cup T)=n(C)+n(T)-n(C\cap T)\n\nn(C\cup T)=72+23-13\n\nn(C\cup T)=95-13\n\nn(C\cup T)=82

So, Number of students who signed up neither for canoeing not trekking is given by

n(C\cup T)'=n(U)-n(C\cup T)\n\nn(C\cup T)'=180-82\n\nn(C\cup T)'=98

So, Percentage of students signed up for neither canoeing nor trekking is given by

(98)/(180)* 100\n\n=54.4\%\n\n\approx 54\%

Hence,  Third option is correct.

that is 72%of the kids

a pharmacy put 4.536 oz of vitamin pills into a bottle she put 0.042 oz of vitamin pills into each bottle how many bottles did the pharmacy use for these vitamin pills

Answers

Answer:

108 bottles

Step-by-step explanation:

the total is 4.536 oz of vitamin pills

each bottle can accomodate 0.042 oz of vitamin pills

to know the quantity of each bottle

we calculate

0.042 oz of vitamin pills  = 1 bottle

4.536 oz of vitamin pills = (4.536 x 1)/0.042=108

so therefore 4.536 oz of vitamin pills will accomodate 108 bottles

On his first day of school, Kareem found the high temperature in degrees Fahrenheit to be 76.1°. He plans to use the function C of F = five-ninths (F minus 32) to convert this temperature from degrees Fahrenheit to degrees Celsius. What does C(76.1) represent?

Answers

Answer: the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius

Step-by-step explanation:

Answer:Aka) A

Step-by-step explanation:

a laptop's screen is 8 inches long. if the diagonal measures 10 inches, what is the width of the laptop

Answers

the width of the laptop is 6 inches long.

A cone is placed inside a cylinder. The cone has half the radius of the cylinder, but the height of each figure is the same. The cone is tilted at an angle so its peak touches the edge of the cylinder’s base. What is the volume of the space remaining in the cylinder after the cone is placed inside it?

Answers

The volume of the cylinder is:
Vcy = π r2 h

And using the given conditions that the cone has half the radius of and same height with the cylinder, we have:
Vco = (1/3) π (r/2)2 h
Vco = π r2 h / 12

The volume of the space remaining is the difference between the two volumes. So,
Vs = Vcy - Vco
Vs = π r2 h -  π r2 h / 12
Vs = 11 π r2 h / 12

The volume of the space is 11 π r2 h / 12

Complete the equation of the graphed linear function in point-slope form.y – (–2) = ? (x – ?)

Answers

The point-slope form:
y-y_1=m(x-x_1)
m - slope
x₁, y₁ - the coordinates of a point

It passes through the points (1,-2) and (2,2).
(1,-2) \nx_1=1 \n y_1=-2 \n \n(2,2) \nx_2=2 \n y_2=2 \n \nm=(y_2-y_1)/(x_2-x_1)=(2-(-2))/(2-1)=(2+2)/(1)=4

\boxed{y-(-2)=4(x-1)}