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andrew-mc [135]
3 years ago
9

Ling drove at a speed of 45 miles per hour for 225 miles. How many hours did she drive?

Mathematics
2 answers:
vovangra [49]3 years ago
7 0
The is five hours because you divide 225 miles by 45 miles
vladimir2022 [97]3 years ago
4 0

The answer is 5 hours so that person was correct

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Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min, and its coarseness is such that it forms a pile in the shap
11Alexandr11 [23.1K]

Answer:

0.25 feet per minute

Step-by-step explanation:

Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min. Since we are told that the shape formed is a cone, the rate of change of the volume of the cone.

\dfrac{dV}{dt}=20$ ft^3/min

\text{Volume of a cone}=\dfrac{1}{3}\pi r^2 h

Since base diameter = Height of the Cone

Radius of the Cone = h/2

Therefore,

\text{Volume of the cone}=\dfrac{\pi h}{3} (\dfrac{h}{2}) ^2 \\V=\dfrac{\pi h^3}{12}

\text{Rate of Change of the Volume}, \dfrac{dV}{dt}=\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}

Therefore: \dfrac{3\pi h^2}{12}\dfrac{dh}{dt}=20

We want to determine how fast is the height of the pile is increasing when the pile is 10 feet high.

h=10$ feet$\\\\\dfrac{3\pi *10^2}{12}\dfrac{dh}{dt}=20\\25\pi \dfrac{dh}{dt}=20\\ \dfrac{dh}{dt}= \dfrac{20}{25\pi}\\ \dfrac{dh}{dt}=0.25$ feet per minute (to two decimal places.)

When the pile is 10 feet high, the height of the pile is increasing at a rate of 0.25 feet per minute

5 0
3 years ago
Philipe
UkoKoshka [18]
<h3>Philipe has to make a weekly sales of $ 3000 so that he can earn $ 360</h3>

<em><u>Solution:</u></em>

Given that,

Philipe  works for a computer store that pays a 12% commission and no salary

We have to find his weekly sales have to be for him to earn $360

From given, we can say,

12 % of weekly sales will earn him $ 360

12 % of weekly sales = 360

Let "x" be the weekly sales

12 % of "x" = 360

Solve the above expression

\frac{12}{100} \times x = 360\\\\0.12x = 360\\\\x = \frac{360}{0.12}\\\\x = 3000

Thus Philipe has to make a weekly sales of $ 3000 so that he can earn $ 360

6 0
3 years ago
7+4u=70-3u<br> What is U
ruslelena [56]
7+4u=70-3u \\ 7+4u+3u=70-3u+3u \\ 7+7u=70 \\ 7-7+7u=70-7 \\ 7u=63 \\ 7u/7=63/7 \\ u=9
u=9 is your answer.
Hope this helps!
5 0
3 years ago
Read 2 more answers
6 points are placed on the line a , 4 points are placed on the line b . How many triangles is it possible to form such that thei
BaLLatris [955]

Answer:

96

Step-by-step explanation:

Using side b as the base, 4 points makes 3 bases (the space in between).  With three bases, you can have 3 bases of 1 segment, 2 bases of 2 segments, and 1 base of 3 segments.  This equals 6 bases. Each of these can connect to a point on line a. 6x6=36

Using side a as the base, 6 points makes 5 bases.  With 5 bases, you can have 5 bases of 1 segment, 4 bases of 2 segments, 3 bases of 3 segments, 2 bases of 4 segments, and 1 base of 5 segments.  This equals 15 bases.  Each of these can connect to a point on line b.  15x4=60

36+60=96

5 0
3 years ago
Read 2 more answers
Help screenshot included also i put the answer as one on accident that's not the real answer
lianna [129]

the scale factor will be greater than 5 if the dilation enlargement

C.5

7 0
3 years ago
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