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atroni [7]
3 years ago
6

If beaver family one can cut down and 20" tree in 15 minutes and family two can cut down a tree 3 times the size in twice as lon

g how long will it take the second beaver family to cut down a 20" tree
Mathematics
1 answer:
Ksenya-84 [330]3 years ago
5 0

Answer:

10 minutes

Step-by-step explanation:

Beaver family 2 can cut down 60'' (20 x 3) tree in 30 (15 x 2) minutes

In one minute, beaver family 2 would cut down 60/30 = 2'' tree

time to cut down 20'' tree = 20/2 = 10 minutes

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PLEASE HELP ME!!!! I NEED THIS QUICKLY!!
zloy xaker [14]

Part A: y=-\frac{5}{4} x+\frac{35}{2} is the equation of the line.

Part B: Anika worked 17.5 hours on day 0.

Part C: The setup time decreases with 1 hour and 15 min per day.

Explanation:

Part A: Let us find the equation of the line using the points (2,15) and (6,10)

The equation of the line is given by,

y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \cdot\left(x-x_{1}\right)

Substituting, we get,

y-15=\frac{10-15}{6-2} (x-2)

Simplifying, we have,

y-15=-\frac{5}{4} (x-2)

y-15=-\frac{5}{4} x+\frac{5}{2}

Subtracting both sides by 15, we get,

y=-\frac{5}{4} x+\frac{35}{2}

Hence, the equation of the line is y=-\frac{5}{4} x+\frac{35}{2}

Part B: To determine the number of hours Anika worked on day 0, let us substitute x = 0 in the equation of the line.

Thus, we get,

y=\frac{35}{2}\\y=17.5

Hence, Anika worked 17.5 hours on day 0.

Part C: The setup time decrease per day can be determined using the slope.

The formula for slope is given by

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Substituting , we have,

m=\frac{10-15}{6-2}=-\frac{5}{4}

Converting the fraction into hours and minutes, we get,

-\frac{5}{4}\times60=-75 min

Since, 1 hour = 60 min

Subtracting 60 and 75 = 15 min

Thus, the setup time decreases with 1 hour and 15 min per day.

6 0
3 years ago
What is the surface area of the square pyramid represented by the net? Enter your answer in the box. m²
Alborosie

Answer:

1.75 meters² or 175 centimeters²

Step-by-step explanation:

Step 1: Find Area of the Base.

  • Base is a square with dimensions of 7cm by 7cm
  • 7*7
  • 49 cm²

Step 2: Find the Area of the Triangles.

  • Each triangle has a base of 7cm and a height of 9cm.
  • 7 x 9 = 63, and 63/2 = 31.5
  • 31.5 x 4 = 126 cm²

Step 3: Add the areas together.

  • 49+126
  • 175 cm²

Thus, the surface area is 1.75 m^2 or 175 cm^2.

7 0
2 years ago
What is the solution got the graphed system of equations ? <br><br> Help please :(
Anvisha [2.4K]

Answer:

It's where they meet! I can't really see the coordinate clearly, but if I could I would tell you already.

8 0
3 years ago
Help!!!! And is the first on correct
ExtremeBDS [4]
2s+5<span>≥49

First: Subtract 5 on both sides
You'll get: 2s </span><span>≥ 44
Last: Divide each side by 2 so your s would be alone
You'll get: s </span><span>≥ 22 <That would be your answer

HOPE THIS HELPS! ^_^</span>
7 0
3 years ago
Find: (6m5 3 â€"" m3 â€"" 4m) â€"" (â€""m5 2m3 â€"" 4m 6) Write subtraction of a polynomial expression as addition of the additi
aliina [53]

The subtraction in the standard form of the polynomial is \rm 7m^5-3m^2-3.

Given that

Expression; \rm (6m^5 + 3 - m^3 -4m) -(-m^5 + 2m^3 - 4m + 6).

We have to determine

The subtraction of a polynomial.

According to the question

Expression; \rm (6m^5 + 3 - m^3 -4m) -(-m^5 + 2m^3 - 4m + 6).

To find the subtraction of the polynomial follow all the steps given below.

  • Step1; Write the expression as an additive inverse.

                   \rm (6m^5 + 3 - m^3 -4m) -(-m^5 + 2m^3 - 4m + 6)\\\\\rm (6m^5 + 3 - m^3 -4m) +(m^5 -2m^3 +4m - 6)

  • Step2; Rewrite terms that are subtracted as the addition of the opposite.

        \rm (6m^5 + 3 - m^3 -4m) +(m^5 -2m^3 +4m - 6)\\\\6m^5 + 3 + (-m^3) + (-4m) + m^5 + (2m^3) + 4m + (-6)

  • Step3; Group-like terms.

                   \rm 6m^5 + 3 + (-m^3) + (-4m) + m^5 + (2m^3) + 4m + (-6)\\\\(6m^5 + m^5) + [3 + (-6)] + [(-m^3) + (-2m^3)] + [(-4m) + 4m]\\\\

  • Step4; the resulting polynomial in standard form is,

                    \rm (6m^5 + m^5) + [3 + (-6)] + [(-m^3) + (-2m^3)] + [(-4m) + 4m]\\\\ 7m^5-3m^2-3

                   

Hence, the subtraction in the standard form of the polynomial is \rm 7m^5-3m^2-3.

To know more about Polynomial click the link given below.

brainly.com/question/26078031

                   

3 0
2 years ago
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