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N76 [4]
3 years ago
10

In a class of 30 students, everyone has either a pierced nose or a pierced ear. The professor asks everyone with a pierced nose

to raise his or her hand. Eight hands go up. Then the professor asked everyone with a pierced ear to do likewise. This time there are 25 hands raised. How many students have piercings both on their ears and their noses?
Mathematics
1 answer:
e-lub [12.9K]3 years ago
4 0
There are 4 students who have piercings both on their ear and their noses.

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Please help me!! A 20% solution of fertilizer is to be mixed with a 80% solution of fertilizer in order to get 150 gallons of a
dangina [55]
Let n be the amount of 80% solution; and 150-n be the amount of 20% solution. Then:
.8n+.2(150-n)=.6(150)
.8n+30-.2n=90
.6n=60
n=100
150-n=50
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7 0
3 years ago
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masya89 [10]
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7 0
2 years ago
A group of workers is harvesting berries at a constant rate. An equation that represents the number of baskets of berries the wo
tiny-mole [99]

Question: (a) What are the slope and the y-intercept for the equation that represents the number of baskets of berries the workers picked over a period of time?

Answer:

Given equation is y = 6x + 8.

Where y represents the number of baskets of berries the workers picked over a period of time x in hours.

Compare with slope intercept form y=mx+b, we get m=6 and b=8

Hence slope is 6 and y-intercept is 8.

-----------


Question: (b) What are the rate of change and the initial amount? Explain the meaning of the rate of change and the initial amount for the situation.

Answer:

Rate of change means slope so answer is 6.

Initial amount means y-intercept so that is 8.

rate of change of 6 means six baskets of berries are picked by workers in 1 hour.

Initial amount of 8 means there was 8 baskets of berries already filled in the beginning.


-----------




Question: (c) Use graph paper to draw a graph representing the situation. Label the axes appropriately.

Answer:

first we graph y-intercept that is at point (0,8)

slope = 6 means make another point which is 6 unit up then 1 unit right from (0,8) so the new point is at (1,14)

Hence final graph is the line joining both points.


3 0
3 years ago
If you randomly choose two letters from the word "JANUARY ", find the probability that you choose letter J first and then A afte
miss Akunina [59]

Answer:

2.0%

Step-by-step explanation:

The probability of two events happening in the sequence is calculated by multiplying the probability of each event happening separately by one another. Since there are a total of 7 letters in this word then the probability of choosing one letter correctly is \frac{1}{7} . Since the first letter is replaced before choosing the second letter the probability remains the same. Therefore, the sequence would be the following...

\frac{1}{7} * \frac{1}{7} = 0.020164 or 2.0%

This is an independent scenario because it does not depend on any external factors and under these circumstances the percentage will remain the same.

3 0
3 years ago
Can someone please help me find the area of this polygon, thank you!
Amanda [17]

Answer:

<h2>270 ft²</h2>

Step-by-step explanation:

<h3>METHOD 1:</h3>

<em>Look at the picture</em>

We can divide a given polygon into three rectangles:

21ft\ \times\ 10ft,\ 4ft\ \times\ 6ft,\ 6ft\ \times\ 6ft

The formula of an area of a rectangle <em>l × w </em>:

A=l\cdot w

Calculate the area of ​​each of the rectangles:

A_1=(21)(10)=210\ ft^2\\\\A_2=(4)(6)=24\ ft^2\\\\A_3=(6)(6)=36\ ft^2

The area of the given polygon:

A=A_1+A_2+A_3\\\\A=210+24+36=270\ ft^2

<h3 /><h3>METHOD 2:</h3>

<em>Look at the second picture</em>.

We subtract the field of the smaller rectangle (<em>11ft × 6ft</em>) from the field of the large rectangle (<em>21ft × 16ft</em>):

A_S=(11)(6)=66\ ft^2\\\\A_L=(21)(16)=336\ ft^2\\\\A=A_L-A_S\to A=336-66=270\ ft^2

7 0
3 years ago
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