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4vir4ik [10]
3 years ago
13

A team of ranger marked 24 squirrels in a park. Later, a class counted 480 squirrels, 16 of which were marked. To the nearest wh

ole number, what is the best estimate for the squirrel population?
Mathematics
1 answer:
Hitman42 [59]3 years ago
8 0

Answer: 720

Step-by-step explanation:

480 : 16 marked

480-16 = 464

They saw 464 unmarked squirrels and 16 marked squirrels

464/16 = 29

They saw 29 unmarked squirrels for every 1 makes squirrel

29 * 24 = 696

They would have seen 696 unmarked squirrels for the 24 marked squirrels.

696 + 24 = 720

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Regina, Phil and Joseph each wrote expressions to represent their hourly earnings for an after-school job where h represents the
Citrus2011 [14]

Answer:

h=-15, -15 hours is your answer. You can't work negative hours though which means that Regina and Phil will never be able to make the same amount.

Phil has a higher rate and starting value, this means that Regina will never make the same amount working the same hours.

Step-by-step explanation:

Regina: 6.5h

Phil: 3(2.5h+5)

When you plug in the number of hours, you get the weekly pay.  In order to get the same weekly pay, set the equations equal to each other.

6.5h=3(2.5h+5), This is an equation to find the number of hours it will take for them to get equal pay. Now, simplify.

6.5h=7.5h+15

-h=15

h=-15, -15 hours is your answer. You can't work negative hours though which means that Regina and Phil will never be able to make the same amount.

Phil has a higher rate and starting value, this means that Regina will never make the same amount working the same hours.

7 0
3 years ago
The sum of -4 and 5 times a number is multiplied by 3. The result is 212 less than 7 times the number. What is the number?
lorasvet [3.4K]

Answer:

104

Step-by-step explanation:

First, put the word equation into a numerical equation.

-4+5x=7x-212                            This is our equation

-4=2x-212                                  I subtracted 5x from both sides

208=2x                                     I added 212 to both sides

104=x                                         I divided both sides by 2

7 0
3 years ago
What is the area of the shaded region below?<br> 7 m<br> 30 m<br> 7 m<br> 21 m
Rama09 [41]

Answer:

322.28

A

Step-by-step explanation:

Area of the rectangle

L = 30

W = 21

Area = 30 * 21

Area = 630

Area of the circles

Radius = 7 m

Area = pi r^2

Area = 3.14 * 7^2

Area = 153.86 m^2

Area of both circles = 307.72

Area of the Shaded Region

Area of shaded region = area of the rectangle - area of 2 circles.

Area of Shaded Region = 630 - 307.72

Area of Shaded Region = 322.28

5 0
3 years ago
Use the equation e^x+e^-x/e^x-e^-x=t tosolve for x
lana66690 [7]

Answer:

Solve the rational equation by combining expressions and isolating the variable  

<h2>x = ln ( t − √ t ^2 + 4  )/2</h2><h2>x = ln ( t +√ t ^2 + 4  )/2</h2>

4 0
4 years ago
Read 2 more answers
Find the surface area of the composite figure.
zhuklara [117]

Answer:

438.97 cm²

Step-by-step explanation:

To find the surface area, we break up the figure into two pieces(blue and yellow) and then add them together.

SA = 2(w · l + h · l + h · w)

2 · (6 · 16 + 4 · 16 + 4 · 6)

368 cm²

70.97 cm² + 368 cm²

438.97 cm²

5 0
3 years ago
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