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boyakko [2]
3 years ago
6

Teresa drove 936 miles in 13 hours. At the same rate, how many miles would she drive in 9 hours?

Mathematics
1 answer:
Drupady [299]3 years ago
6 0
\dfrac{936\text{ mi}}{13\text{ hr}}=\dfrac{x\text{ mi}}{9\text{ hr}}
\implies x=\dfrac{936\times9}{13}=648
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Need some help ASAP been stuck for forever
madam [21]
V of cylinder = pi • radius^2 • height
V of cone = pi • radius^2 • height divided by 3

find the cones volume then the cylinders combine and add them for the total
8 0
3 years ago
Read 2 more answers
Find the perimeter of the figure to the nearest hundredth.
Pavlova-9 [17]

Answer:

60.00 in^2

Step-by-step explanation:

First focus on the area ABOVE the dotted line.  The shape here is that of a trapezoid.  The two leg lengths are 12 in and 18 in (18 in is the diameter).  At the far right of this trapezoid we can picture a triangle of base 3 in, height h and hypotenuse 5 in.  Using the Pythagorean Theorem, we get h = 4 in.

This 4 in measurement is the width of the trapezoid.  Thus, we are now ready to apply the formula for the area of a trapezoid:  A = (average length of legs)*(width).

Here that area comes out to

       12 in + 18 in

A = --------------------- * 4 in = 15 in*4in = 60 in^2, or (to the nearest hundredth)

                 2                                           60.00 in^2

4 0
3 years ago
Prof Liu gave the same quiz to the students in her morning class and in her afternoon class. the average score for the two class
yaroslaw [1]

Answer:

Step-by-step explanation:

Given that Prof  Liu gave the same quiz to the students in her morning class and in her afternoon class. the average score for the two classes combined was 84.

(1) The average score for the students in the morning class was 80

(2) the average score for the students in the afternoon class was 86

Let m be the no of students in I class and n in II class

Total of I class = 80m and

Total of II class = 86n

Total of both classes = 80m +86n

Average =\frac{80m+86n}{m+n} = 84

m cannot be equal to n because in that case average would have been 83

If m >n, then say n =m+a

then average = \frac{80m+86m+86a}{2m+a} =84

Because 86 is more times added, average score would decrease hence we would not get 84.

So I class is getting less score of 80 to get a score average of more than 83 (the average) the class II should have more students.

4 0
3 years ago
The radius of a cylinder is 5" and the lateral area is 70 pi sq. In. Find the length in altitude
aev [14]
We are to solve for the value of the altitude of the given cylinder which has a radius of 5 feet and a lateral area of 70pi ft². To solve this we should recall that the formula in solving the lateral area of a cylinder is Lateral Area = 2pi*r*h. The solution is shown below:
r is equal to 5 ft
lateral area = 70pi
Solving for h, we have:
70pi = 2pi*5*h
70pi / 2pi = 5h
35 = 5h
divide both sides by 5, we have:
35/5 = 5h/5
7 = h

The answer for the length of the altitude is 7 feet.
8 0
3 years ago
6 16x + 5y = -2<br> 4x - y=-2
Grace [21]

Answer:

x=2/9,y=26/9

Step-by-step explanation:

This is a simultaneous equation

16x+5y=-2..(1)

4x-y=-2...(2)

From (2) make y the subject of formula

y=4x+2..(3)

Substitute (3) into (1)

16x+5(4x+2)=-2

16x+20x+10=-2

36x-10=-2

Add 10 to both sides

36x=8

Divide both sides by 36

x=8/36

Divide both denominator and numerator by 4

x=2/9

Substitute the value x into (3)

y=4(2/9)+2

y=8/9+2

Let the LCM be 9

y=8+18/9

y=26/9

Therefore x=2/9,y=26/9

5 0
3 years ago
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