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Korolek [52]
3 years ago
13

six people went into the woods to look for truffles. On average they collected 7 truffles per person. The average of the last fo

ur people to come back was 8 truffles per person. In fact the fourth person to come backk had 11 treuffles in is basket. How many truffles did the last three people collect altogether?
Mathematics
1 answer:
kherson [118]3 years ago
8 0
Given the question "six people went into the woods to look for truffles. On average they collected 7 truffles per person. The average of the last four people to come back was 8 truffles per person. In fact the fourth person to come backk had 11 treuffles in is basket. How many truffles did the last three people collect altogether?" Since the average truffles collected by the six people is 7, then the total truffles collected by the six people is 6 x 7 = 42 truffles. Since the last four people that came back collected an average of 8 truffles, then the total number of truffles collected by the last four people that came back is 4 x 8 = 32 truffles. Given that the fourth person collected 11 truffles, therefore, <span>the last three people collected a total of 32 - 11 = 21 truffles.</span>
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find the area of a segment of a circle that subtends an angle of 120° at the centre of a circle of radius 56cm.
Kazeer [188]

Answer:

Area = 1,527 in

Step-by-step explanation:

Circle area = π * r² = π * 3136 [cm²] ≈ 1527 [in²]

π ≈ 3.14159265 ≈ 3.14

d = r * 2 = 56 [cm] * 2 = 44.094 [inch]

8 0
3 years ago
One month, the price of gas was $1.44. The next month the price of gas was $2.40. What was the approximate percent of increase f
Lapatulllka [165]
Step 1:
Find the difference between the two numbers.
$2.40-$1.44= $0.96

Step 2:
Divide by the original number.
$0.96/1.44= 0.667

Step 3:
Multiply by 100 to find percent increase.
0.667 * 100= 66.7% rounded to one decimal place or 67% rounded

Hope this helped! :)
6 0
3 years ago
Please Help Quicly The equation 8x - 4y = 5 is dilated by a scale factor of 8 centered at the origin. What is the new slope and
Rzqust [24]

For new line, slope m=2 and y-intercept c=(-10)

Step-by-step explanation:

<em>Note : Figure given is for reference to understand better.</em>

<em>Where redline is for given line and blueline for new line</em>

<em />

The equation of given line 8x-4y=5 and it is dilated by a scale factor of 8 centered at the origin.

Step 1 : Find two points on given line.

When x=0, y=?

8x-4y=5

8(0)-4y=5

y=\frac{-5}{4}

When y=0, x=?

8x-4y=5

8x-4(0)=5

x=\frac{5}{8}

We get points A(0,\frac{-5}{4}), B(\frac{5}{8},0)

Step 2: Find distance from centered and scale it.

Now, It is said that line 8x-4y=5 dilated by a scale factor of 8 centered at the origin and point A and point B is on same.

So that point A and point B  will also get dilated by a scale factor of 8 centered at the origin or distance of points from origin will be scaled by 8.

For point A:

Distance of point A(0,\frac{-5}{4}) from origin is ( \frac{-5}{4})  unit in x-direction and zero \frac{-5}{4})  unit in y-direction.

After scaled by factor of 8, the distance will multipy by 8 and new location is A'(0,-10)

For point B:

Distance of point B(\frac{5}{8},0) from origin is (\frac{5}{8}) unit in x-direction and zero unit in y-direction.

After scaled by factor of 8, the distance will multipy by 8 and new location is B'(5,0)

Step 3: Find Equation of new line.

Points A'(0,-10) and B'(5,0) make a new line

The equation of given as

\frac{y-Y1}{x-X1} = \frac{Y2-Y1}{X2-X1}

\frac{y-(-10)}{x-0} = \frac{0-(-10)}{5-0}

\frac{y+(10)}{x} = 2

\frac{y+(10)}{x} = 2

y+10= 2x

y= 2x-10

Now, Comparing with the equation of the line : y=mx + c

Where m=slope and c is the y-intercept

We get, Slope m=2 and y-intercept c=(-10)

8 0
3 years ago
Determine whether the following statement is true or false. Explain. When obtaining a stratified​ sample, the number of individu
bearhunter [10]

Answer:

B. False. Within stratified​ samples, the number of individuals sampled from each stratum should be proportional to the size of the strata in the population.

Step-by-step explanation:

In a stratified sample, each stratum should be proportional to that category of the population.  This means that each stratum would potentially have a different number of elements in it.

4 0
3 years ago
Write 5(6x+4)-2(5x-2) in the form a(bx+c) where a,b and c integers and a&gt;1
Pavel [41]

Answer:

4(5x + 6)

Step-by-step explanation:

To start, let's expand things out, as we cannot learn anything from this form. We get 30x + 20 - 10x + 4, or 20x + 24. To find the GCD (Greatest Common Divisor), we take the terms and try to find the number (or term) that divides them. It must be a constant, because of the 24, and 4 goes into 20 and 24. So, our final answer is 4(5x + 6).

5 0
3 years ago
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