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9966 [12]
4 years ago
7

A beaver burrows 10 holes every 5 minutes. How many holes will it burrow if time is increased to 25 minutes

Mathematics
1 answer:
vaieri [72.5K]4 years ago
5 0
You can do 25 divide by 5 and you get 5. Then you multiply 5 times 10 and your answer will be of 50. The mole digs 50 holes in 25 minutes.
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Find an equation of the line passing through the pair of points. Write the equation in slope-intercept form. (2,8), and (8,2)
leonid [27]

Answer:

y=-x+10

Step-by-step explanation:

Hi there!

Slope intercept form: y=mx+b where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

<u>1) Find the slope (m)</u>

m=\frac{y_2-y_1}{x_2-x_1} where the two given points are (x_1,y_1) and (x_2,y_2)

Plug in the given points (2,8),and (8,2)

​m=\frac{2-8}{8-2}\\m=\frac{-6}{6}\\m=-1

Therefore, the slope of the line is -1. Plug this into  y=mx+b:

y=-x+b

<u>2) Find the y-intercept (b)</u>

y=-x+b

Plug in a given point and solve for b

8=-2+b

Add 2 to both sides

8+2=-2+b+2\\10=b

Therefore, the y-intercept is 10. Plug this back into y=-x+b:

y=-x+10

I hope this helps!

3 0
3 years ago
Help!!!! Need it now!!!<br> For any number N is greater than 1, is
Basile [38]

Answer:

N is greater than 1.

Step-by-step explanation:

> shows that a number is greater than the other

< shows that a number is less than the other

= shows that a number is equal to the other

~(=) shows that something is congruent to the other

3/4 + 2/3 =    17/12 x n > 1

6 0
3 years ago
Patios can be made by mixing cubic meters of cement, gravel, and stones in the ratio 9:4:6. How much gravel is needed to make 20
LenKa [72]

Answer:

44 cubic meters

Step-by-step explanation

9 + 4 + 6 = 19

9/19 of the patio will be cement

4/19 of the patio will be gravel

6/19 of the patio will be stones

Work out the amount of gravel - 4/19 * 209 = 44 cubic meters

:)

7 0
2 years ago
What is the answer??
denis-greek [22]

Answer:

10a²+5ab+2b²

Step-by-step explanation:

Start by combining like terms aka the ones that match:

Step 1: (4a²-5ab-6b²) + (10ab+6a²+8b²)

Step 2: (10a²-5ab-6b²) + (10ab+8b²)

Step 3: (10a²+5ab-6b²+8b²)

Final answer: 10a²+5ab+2b²

In step 1, I added the 4 and 6. In step 2, I added -5 and 10. In step 3, I added -6 and 8. For each I attached the proper ending (a², ab, and b²).

I hope this clears some confusion!

3 0
3 years ago
Melissa will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $65 and costs an
OleMash [197]

Answer:

Melissa needs to drive 325 miles for the two plans to cost the same

Step-by-step explanation:

<u>Plan A</u>

Initial Fee = 65

Additional cost per mile = 0.50 per mile

<u>Plan B</u>

Initial Fee = 0

Additional cost per mile = 0.70 per mile

Required

Mile both plans will cost the same

Let

y \to cost

x \to miles

So, we have:

y = Initial\ Fee + Additional * x

For plan A

y = 65+ 0.50* x

y = 65+ 0.50x

For plan B

y = 0 + 0.70*x

y = 0.70x

So, we have:

y = 65+ 0.50x --- plan A

y = 0.70x --- plan B

Both plans will cost the same when

y = y

0.70x = 65 +0.50x

0.70x -0.50x= 65

0.20x= 65

Divide by 0.20

x= 325

8 0
3 years ago
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