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Zolol [24]
4 years ago
13

On the map, the school and the sports park are 12 centimeters apart.

Mathematics
1 answer:
Nezavi [6.7K]4 years ago
8 0

Answer:

<h2>15 km</h2>

Step-by-step explanation:

On the map, the school and the sports park are 12 centimeters apart.

scale 4cm : 5km

find;

What is the actual distance between the school and the park?

solution:

  <u>       12 cm     </u> = <u>   4 cm    </u>              

          X km            5 km

cross multiply:

4 cm X km = 12 cm (5 km)

X =  <u>12 cm (5 km)</u>

             4 cm

X = 15 km

therefore, the distance between the school and the sports park is 15 km

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Sophie [7]

Answer:

A two-step equation is something like:

A*X + B = C

In this case, like in a linear equation, we have only one solution that can be found as:

A*X = C - B

X = (C - B)/A

In the case of a two-step inequality, we have something like:

A*X + B > C

Solving this we get;

A*X >  C - B

X > (C - B)/A

In this case, any value of X that is larger than  (C - B)/A is a solution, so in this case, we have infinite solutions.

That is the difference between the number of solutions for each case, in a two-step equation we have only one, while in the case of the inequality we have infinite.

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3 years ago
133.5 divided by 5 show work
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Answer:

26.7

Step-by-step explanation:

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3 years ago
The endpoints of ab are a(1,4) and b(6,-1). If point c divides ab in the ratio 2:3, the coordinates of c are ?. If point d divid
Pachacha [2.7K]

Answer:

The coordinate C:(3,2) and coordinate D:\left ( \dfrac{11}{5},\dfrac{14}{5}, \right )

Step-by-step explanation:

1. The endpoints of AB are A(1,4) and B(6,-1)

If point C divide AB in the ratio 2:3

Formula:

\text{Section formula}(x,y)=\left ( \dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}, \right )

Where,

(x_1,y_1)\rightarrow A(1,4)

(x_2,y_2)\rightarrow B(6,-1)

m:n\rightarrow 2:3

C:(x,y)

C:\left ( \dfrac{2\cdot 6+3\cdot 1}{2+3},\dfrac{2\cdot -1+3\cdot 4}{2+3}, \right )

C:\left ( \dfrac{12+3}{5},\dfrac{-2+12}{5}, \right )

C:(3,2)

2. The endpoints of AC are A(1,4) and B(3,2)

If point D divide AC in the ratio 3:2

(x_1,y_1)\rightarrow A(1,4)

(x_2,y_2)\rightarrow C(3,2)

m:n\rightarrow 3:2

D:(x,y)

D:\left ( \dfrac{3\cdot 3+2\cdot 1}{2+3},\dfrac{3\cdot -1+2\cdot 4}{2+3}, \right )

D:\left ( \dfrac{9+2}{5},\dfrac{6+8}{5}, \right )

D:\left ( \dfrac{11}{5},\dfrac{14}{5}, \right )

Hence, The coordinate C:(3,2) and coordinate D:\left ( \dfrac{11}{5},\dfrac{14}{5}, \right )

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4 years ago
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Step-by-step explanation:

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Tpy6a [65]

Answer:

Step-by-step explanation:

add 8 to both side

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so we know that the denominator of 28 is 1

so multiply -1 by 1 and 4n by 28

It will look like this:

-1>112n

then divide both side by 112

the answer is n<-1/112 or 0.0089285

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