Answer:
c = price of child ticket = $4.25
a = price of adult ticket = $4.25 + $1.00 = $5.25
Step-by-step explanation:
A child ticket costs c and an adult ticket costs a = c + 1.
21 children pay c dollars each for admission, and
3 teachers pay c + 1 dollars each for admission.
Thus,
21c + 3(c + 1) = $105, and
21c + 3c + 3 = $105, so that:
24c = $102
c = price of child ticket = $4.25
a = price of adult ticket = $4.25 + $1.00 = $5.25
Answer:
when x=6, y=30
when x=7.5, y=37.5
Step-by-step explanation:
Just plug in the value of x into the equation y=5x
so when x=6, the equation will be y=5(6). In this case y=30
when x =7.5, the equation will be y=5(7.5). So y=37.5
Answer:
A)
15 hours
B)
108 hours
C)
2074.29 miles
Step-by-step explanation:
Under the assumption the earth is a perfect circle, then in one complete rotation about its axis ( 24 hours) the Earth will cover 360 degrees or 2π radians.
A)
In every 24 hours the earth rotates through 360 degrees ( a complete rotation). We are required to determine the length of time it will take the Earth to rotate through 225 degrees. Let x be the duration it takes the earth to rotate through 225 degrees, then the following proportions hold;
(24/360) = (x/225)
solving for x;
x = (24/360) * 225 = 15 hours
B)
In 24 hours the earth rotates through an angle of 2π radians (a complete rotation) . We are required to determine the length of time it will take the Earth to rotate through 9π radians. Let x be the duration it takes the earth to rotate through 9π radians, then the following proportions hold;
(24/2π radians) = (x/9π radians)
Solving for x;
x = (24/2π radians)*9π radians = 108 hours
C)
If the diameter of the earth is 7920 miles, then in a day or 24 hours a point on the equator will rotate through a distance equal to the circumference of the Earth. Using the formula for the circumference of a circle;
circumference = 2*π*R = π*D
= 7920*3.142
= 24891.43 miles
Therefore a point on the equator covers a distance of 24891.43 miles in 24 hours. This will imply that the speed of the earth is approximately;
(24891.43miles)/(24 hours) = 1037.14 miles/hr
The distance covered by the point in 2 hours will thus be;
1037.14 * 2 = 2074.29 miles
The length of the bridge is the distance from the beginning to the end.
<em>The distance b between each beam is 9ft.</em>
Let:
<em />
<em> I-Beam</em>
<em />
<em> distance between I beam and the bridge</em>
<em />
<em> distance between each I beam</em>
<em />
Given that:
<em />
<em> --- length of the bridge</em>
<em />
From the diagram (see attachment), there are: 6 I-beams.
So, the length of the 6 I-beams is:
There are 2 I-beams beside the bridge
So, the distance between the 2 I-beams and the bridge is:
There are 5 spaces between the I-beams
So, the length of the total spaces is:
The total length is:
So, we have:
Collect like terms
Convert inches to feet
Divide both sides by 5
<em>Hence, the distance (b) between each beam is 9ft.</em>
Read more about lengths at:
brainly.com/question/22059747
Answer:
Wouldn't the third term be 21?
