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aleksandrvk [35]
3 years ago
7

Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

Mathematics
1 answer:
Vitek1552 [10]3 years ago
8 0

First, we need to find the original ratio of 7th to 6th

6th = 12

7th = 21

21:12

Then find any common factors

21: 1,3,7,21

12: 1,2,3,4,6,12

divide 21 and 12 both by 3

21/ 3 = 7

12 / 3 = 4

7:4 is your ratio

For every 7 students in 7th grade, there are 4 students in 6th grade.

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Ray drove her car for 2 1/4 h and traveled 217.35 km. If she drives her car at the same speed for 3 hours, how many km will Ray
artcher [175]
2.25=2 1/4
217.35/2.25=x
X=96.6miles/ hour
96.6*3=
289.8 miles

The answer is that Ray traveled 289.8 miles in 3 hours.
5 0
3 years ago
Read 2 more answers
A doctor has an annual income of $152,125. The income tax that doctor has to pay is 6%. What is the amount of income tax in doll
atroni [7]

9514 1404 393

Answer:

  $9,127.50

Step-by-step explanation:

6% of $152,125 is ...

  0.06 × $152,125 = $9,127.50

The doctor has to pay $9,127.50 in income tax.

4 0
3 years ago
A forensic detective is called to the scene of a murder at 2 am. When she checks the temperature of the body, she sees that it i
Readme [11.4K]
Newton's Law of cooling is
T(t)=T_{a}+(T_{0}-T_{a})e^{-0.1947t}
where
T(t) = temperature of the body after t hours, 80 °F
T_{a} =  ambient temperature, 65 °F
T_{0} = normal body temperature, assumed to be 98.6 °F

The elapsed time since death is obtained from
65+(98.6-65)e^{-0.1947t|} = 80
33.6e^{-0.1957t}=15
-0.1947t=ln \frac{15}{33.6}
t= \frac{ln(15/33.6)}{-0.1947} =4.142

4.142 hours before 2 am is 9:52 pm (the previous day) approximately.

Answer:  9:52 pm the previous day.

5 0
3 years ago
100 Points. Easy and fun question.
FinnZ [79.3K]

Answer: You and Sarah went to the gas station to get sodas. Sarah got a Dr. Pepper and it cost $2.50. You got a Sprite and it cost $3.00. You notice Sarah is short on change and want to help her. You have a $10 Bill and are going to pay for it. How much change will you get back?

Step-by-step explanation:

4 0
4 years ago
A right circular cylinder has a diameter of 12 in and a height of 12 in. if water is flowing in at the rate of 4π in3 per minute
Readme [11.4K]

The rate of change of the height is \frac{1}{9} in/min.

<h3>What is a right circular cylinder?</h3>

A right circular cylinder is a cylinder that has a closed circular surface having two parallel bases on both the ends and whose elements are perpendicular to its base. It is also called a right cylinder.

Volume of the cylinder = \pi r^{2}h

Rate of change of height is  \frac{dh}{dt} = ?

At any time t,

Volume, V =  \pi r^{2}h

Since r does not change with time, then r is a constant, so,

V =  \pi (6)^{2}h

V = 36\pi h

Differentiate both sides with respect to time t,

\frac{dV}{dt} = 36\pi \frac{dh}{dt} -------------(i)

Since \frac{dV}{dt}is given as 4\pi cu.in. per min,

4\pi  = 36\pi \frac{dh}{dt}

\frac{dh}{dt} = \frac{4\pi }{36\pi }

\frac{dh}{dt} = \frac{1 }{9 } in/min.

Hence, The rate of change of the height is \frac{1}{9} in/min.

To learn more about right circular cylinder from the given link:

brainly.com/question/2762448

#SPJ4

5 0
2 years ago
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