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Elis [28]
2 years ago
11

Richard started his walk at the ice cream shop. He reached the library and continued to the park. If Richard walks for a total o

f 20/8 miles, how much farther did he walk beyond the park?
Mathematics
1 answer:
iren2701 [21]2 years ago
4 0

Answer:

He has walked almost 12 miles beyond the park.

Step-by-step explanation:

Richard walked for a total of 20/8 miles. He started the walk from ice cream shop and then reached the library. The distance from library to the ice cream shop is 8 miles. The total distance that he travelled from the library to park is 12 miles.

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Hep asappppppppppppp
schepotkina [342]

Answer:

(6 , -1)

Step-by-step explanation:

2x+  y  = 11   ----------------(I)

y = 11 - 2x --------------------(II)

\frac{1}{2}x - 5y = 8

Multiply the whole equation by 2

2*\frac{1}{2}x -2*5y = 2*8

x - 10y = 16 --------------------(III)

Substitute y = 11- 2x in equation (III)

x - 10(11 - 2x) = 16

x - 110 + 20x = 16

21x - 110 = 16

21x = 16 +110

21x = 126

x = 126/21

x = 6

Plugin x = 6 in equation (II)

y = 11 - 2*6

y = 11 - 12

y = -1

5 0
2 years ago
(-6,-4) and is parallel to the line x+6y=12
HACTEHA [7]

Answer: y = -\frac{1}{6}x-5

Step-by-step explanation:

x+6y=12

6y=-x+12

y=-\frac{x}{6} + 2

If its parallel it means that the slope will be the same

y = mx + b

-4 = -1/6 * (-6) + b

b = -5

Thus,

y = -1/6 x - 5

6 0
3 years ago
Amelia launched her science fair rocket, and then backed away. The path of the rocket is given by the equation below, where y is
Mamont248 [21]

Answer:

1)The rocket hit the ground at     x = \frac{5}{4}

2)The maximum height of the rocket = 12.468 feet

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given equation  

                y = -2 x² + 5 x + 7 ...(i)

Differentiating equation (i) with respective to 'x' , we get

             \frac{dy}{dx} = -2( 2x) +5(1) =  -4x +5

Equating zero

            \frac{dy}{dx} = 0

⇒      -4 x +5 =0

⇒      -4 x = -5

⇒          x = \frac{5}{4}

<em> The rocket hit the ground at     </em>x = \frac{5}{4}<em></em>

<u><em>Step(ii):</em></u>-

    \frac{dy}{dx}  =  -4x +5  ...(ii)

Again differentiating equation (ii) with respective to 'x' , we get

 \frac{d^{2} y}{dx^{2} }  = - 4(1)

The maximum height at x = \frac{-5}{4}

  y = -2 x² + 5 x + 7

 y = -2 (\frac{5}{4})^{2}  + 5 (\frac{5}{4} )  + 7

y = \frac{-2(25)+ 25 (16)+7(64)}{64}

y = \frac{798}{64} = 12.468 feet

<em>The maximum height of the rocket = 12.468 feet</em>

       

4 0
2 years ago
1. A grocery store just received a shipment of 200 dozen eggs. If 12 eggs = 1 dozen, how many eggs did
guajiro [1.7K]

Answer:

they received 2400 eggs.

Step-by-step explanation:

12 * 200 = 2400

7 0
3 years ago
A study was conducted to see if students given extra oxygen prior to taking the SAT could improve their scores. It was found tha
erik [133]

Answer:

Hypothesis testing of ' significance of difference between means'

Step-by-step explanation:

Study conducted to tests whether oxygen level prior SAT score improves test score. This can be done through - Hypothesis testing of ' significance of difference between means'.

Where x1 & x2 represent mean values of SAT test score before (or without) & after (or with) oxygen.

Null hypothesis [H0] = x1 = x2 , Alternate Hypothesis [H1] : x1 < x2

6 0
3 years ago
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