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Alexus [3.1K]
3 years ago
12

Write the equation of a line with slope m= 1/2 half and including point (4, -1).

Mathematics
1 answer:
poizon [28]3 years ago
4 0
Formula: y=mx+b
(4,-1) 
4 is x
-1 is y
m=1/2

-1=1/2(4)+b
1/2(4)=2

-1=2+b
-1-2=-3

-3=b

y=1/2x-3



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Ayush and sumit take two different routes to school. Ayush's route is 1km 2hm long while sumit route is 2hm 30dam long while rou
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Answer:

Ayush's route is 0.7 km or 700m longer than Sumit route.

Step-by-step explanation:

Ayush's route is 1km 2hm long while sumit route is 2hm 30dam.

We know that,

1 km = 10 hm

1 dam = 0.1 hm

Using these conversions we get

Ayush's route = 1km 2hm = (1×10) hm + 2 hm = 12 hm

Sumit route = 2hm 30dam = 2 hm + (30×0.1) hm = 2 hm + 3 hm = 5 hm

Ayush's route is longer.

Difference = 12 hm - 5 hm = 7 hm = 0.7 km            [1 km = 10 hm]

Hence, Ayush's route is 0.7 km or 700 m longer than Sumit route.

4 0
3 years ago
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10. 5(3-9b) = 3(-15b – 2)
olga2289 [7]

Answer:

No Solution

Explanation:

5(3 - 9b) = 3(-15b – 2)

Expand

5(3 - 9b): 15 - 45b

3(-15b - 2): -45b - 6

15 - 45b = -45b - 6

Subtract 5 From Both Sides

15 - 45b - 15 = -45b - 6 - 15

Simplify

-45b = -45b - 21

Add 15b To Both Sides

-45b + 15b = -45b - 21 + 15b

Simplify

0 = -21

No Solution

8 0
3 years ago
The cost of a new CD is $14.95, and the cost of a video game is $39.99. How much would c CDs and v video games cost?
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Answer:

14.95c+39.99v

Step-by-step explanation:

3 0
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Whats the slope for this question?
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Answer:

Slope:  1

Step-by-step explanation:

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6 0
2 years ago
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The senior class want to play a practical joke on the principal, who was a former college basketball star. They want to fill his
steposvetlana [31]

The number of basketball that will fill up the entire office is <u>approximately 16,615.</u>

<em><u>Recall:</u></em>

Volume of a spherical shape = \frac{4}{3} \pi r^3

Volume of a rectangular prism = l \times w \times h

<em><u>Given:</u></em>

Diameter of basketball = 9.5 in.

Radius of the ball = 1/2 of 9.5 = 4.75 in.

Radius of the ball in ft = 0.4 ft (12 inches = 1 ft)

Dimension of the office (rectangular prism) = 20 ft by 18 ft by 12 ft

  • First, find the volume of the basketball:

Volume of ball = \frac{4}{3} \pi r^3 = \frac{4}{3} \times \pi \times 4.75^3\\

Volume of basketball = 448.92 $ in^3

  • Convert to ft^3

1728 $ in.^3 = 1 $ ft^3

<em>Therefore,</em>

  • Volume of basketball = \frac{448.92}{1728} = 0.26 $ ft^3

  • Find the volume of the office (rectangular prism):

Volume of the office = 20 \times 18 \times 12 = 4,320 $ ft^3

  • Number of basket ball that will fill the office = Volume of office / volume of basketball

  • <em>Thus:</em>

Number of basket ball that will fill the office = \frac{4,320}{0.26} = 16,615

Therefore, it will take approximately <u>16,615 balls</u><u> to fill up the entire office</u>.

Learn more here:

brainly.com/question/16098833

6 0
2 years ago
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