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Nadusha1986 [10]
2 years ago
7

A stack of 30 science flashcards includes a review card for each of the following: 10 insects, 8 trees, 8 flowers, and 4 birds.

Mathematics
1 answer:
coldgirl [10]2 years ago
4 0
All you have to do is make the fraction of it which is 4/30. Then simplify to 2/15 which is your answer.
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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
Find the area of shaded part .​
Firlakuza [10]

Answer:

Area of big rectangle= 5m× 3m

                                   = 15m²

Area of small rectangle=1m× 1m

                                       =1m²

Area of shaded part= Area of big rectangle- Area of a small rectangle

                                 = 15m²-1m²

                                  = 14m²

Step-by-step explanation: Hope it helps

5 0
3 years ago
What is 10+12.50h=5+15h? Solve for h and show your work please.
irakobra [83]

Answer:

10+12.50h=5+15h

We move all terms to the left:

10+12.50h-(5+15h)=0

We add all the numbers together, and all the variables

12.50h-(15h+5)+10=0

We get rid of parentheses

12.50h-15h-5+10=0

We add all the numbers together, and all the variables

-2.5h+5=0

We move all terms containing h to the left, all other terms to the right

-2.5h=-5

h=-5/-2.5

h=+2

Step-by-step explanation:

please heart and give brainliest

5 0
3 years ago
A school dance committee is made up of 2 freshman, 4 sophomores, 2 juniors, and 2 seniors.
qaws [65]

Answer:

4 and 6.

Step-by-step explanation:

There are 4 different grades represented, so for the first question, there are 4 ways that the students can sit if they must sit together by grade.

For the second question, there are 3 grades other than senior level, so it starts with 3 ways that the students can be seated. 3 ways x 2 students per way = 6 ways

7 0
3 years ago
An adult soccer league requires a ratio of at least 2 women per 7 men on the roster. If 14 men are on the roster, how many women
Snezhnost [94]

Answer:

Atleast 4 women

Step-by-step explanation:

Ratio of

Women to men = 2 : 7

Number of women needed to maintain the ratio if there are 14 men on the roster :

The minimum number of women required :

(2 : 7) * number of men in roster

(2 / 7) * 14

2 * 2 = 4 women

Atleast 4 women are required to main the ratio

7 0
3 years ago
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