Answer:
9:20
Step-by-step explanation:
Given:
Surface area of shape A = 9 cm²
Surface Area of shape B = 16 cm²
Ratio of volume of shape A to B = 27:125
Required:
Find the ratio of the height of shape A to the height of shape C.
Ratio of surface area (A:B)² = ratio of linear measures (A:B)
Thus,
(A:B)² = (A:B)
(A/B)² = (A/B)
Take the square root of both sides:
Ratio of volume of shape B to C = 27:125
Thus,
(B:C)³ = 27:125
Take the cube root of both sides:
Therefore, ratio of lengths A:B:C =
3:4:C
A:3:5
To make them equivalent, we have:
9:12:C
A:4:20
Therefore, the ratio of the height of shape A to the height of shape C =
9:20
The answer would be 7 miles. I can see that the initial charge is $35. For every mile there is a $2 fee. I found this by looking at how much the fee increases from 1 mile to 3 miles. There’s a $4 increase. So $4 divided by 2 miles is equal to 2. 1 mile is equal to $2 after the initial price. I counted by 2s from 41 to 49. Every count of 2 is a mile. When I landed on 49 I was at the 7th mile. A half of a mile is equal to $1. I know this because from 7 miles to 8.5 miles, there is a $3 increase. The 8th mile would be $51, but the half of a mile increases the cost by $1. Sorry if it’s very wordy. The answer is 7 miles though!
Ok so we know that student tickets cost $5, and adult tickets cost $8. We also know that the total no. of tickets sold was 150.
Let's make the amount of student tickets sold be S, and the no. of adult tickets sold be A.
We know that tickets sales amounted to $1,020, so:
8A + 5S = 1020
And:
A + S = 150. Multiply this by 5;
5A + 5S = 750
When you subtract the two equations;
(8A+5S) - (5A+5S) = 1020-750
So 3A = 270
A = 90
So 90 adult tickets were sold.
S = 150 - 90
= 60
So 60 student tickets were sold (although you don't need this as part of your answer)
Hope this helped
<h2>Answer: slope = ¹¹/₁₃
</h2><h3>Step-by-step explanation: </h3>
The question gives us two points, (−13, −19) & (13, 3), from which we can find the slope and later the equation of the line.
Finding the Slope
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= ((3 - (-19)) ÷ (13 - (-13))
= 22 ÷ 26
= ¹¹/₁₃
<em></em>
<em></em>
<em>Checking my answer:</em>
<em>We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line. If the line passes through both of the points then we calculated the slope correctly.</em>
⇒ y + 19 = ¹¹/₁₃ (x + 13)
<em>I have included a Desmos Graph that I graphed using the information equation (including the slope) and the points given. </em>
Answer:
Step-by-step explanation:
we are asked to evaluate
÷
Above we are given mixed fraction which can be converted in proper fraction using formula given below
Hence
Also
Hence
÷
can be written as
÷ 
Also we know the rule for dividing fraction is as given below
÷ 
= 
Hence
÷ = 
=
=
