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weeeeeb [17]
2 years ago
7

There are 2 buildings, a and b. a had twice as many visitors as b. 2,950 went to a from b. now a has 39,500 more visitors than b

. how many visitors altogether?
Mathematics
1 answer:
Sladkaya [172]2 years ago
3 0

There are 100800 visitors there altogether in both the buildings.

Let the number of visitors in building b be x.

Visitors in building a will be = 2 x

Now, 2,950 went to a from b.

Visitors in building a = 2 x + 2950

Visitors in building b = x - 2950

ATQ: now a has 39,500 more visitors than b.

We get the equation as:

x - 2950 + 39500 = 2x + 2950

x + 36550 = 2x + 2950

2x - x = 36550 - 2950

x = 33600

2 x = 67200

Total visitors = x + 2x = 33600 + 67200

Total visitors = 100800

Therefore, there are 100800 visitors there altogether in both the buildings.

Learn more about equation here:

brainly.com/question/1214333

#SPJ4

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Select all the expressions that represent a correct solution to the equation 6(×+4)=20
kozerog [31]

Answer:

the solution x = \frac{-2}{3}

Step-by-step explanation:

Given equation is 6 ( x+4) =20

<u>Distributive property</u>:-

a .(b + c) = a .b + a . c

Given equation is 6 ( x+4) =20

by using distributive property  6 .x + 6.4 =20

                                                  6x +24 =20

    subtracting '24' on both sides, we get

                                            6x +24 -24 = 20 -24

                                            6x = -4

dividing by '6' on both sides, we get

                                             \frac{6x}{6} = \frac{-4}{6}

                                            x = \frac{-4}{6}

<u>Final answer</u> :-

the solution of given equation is x = \frac{-2}{3}

                                           

                                           

7 0
4 years ago
Which property could be used to solve the equation below <br><br> x/8 = 4
Ivahew [28]

Answer:

Multiplication property of equality? Ik for sure the answer to the equation would be 32

Step-by-step explanation:

8 0
3 years ago
A=(-2,-7) B=(-6,4) C=(-2,7) D=(2,4) What is the perimeter?
Nata [24]

 

\displaystyle\bf\\AB=\sqrt{\Big(-6-(-2)\Big)^2+\Big(4-(-7)\Big)^2}\\\\AB=\sqrt{\Big(-6+2\Big)^2+\Big(4+7\Big)^2}\\\\AB=\sqrt{\Big(-4\Big)^2+\Big(11\Big)^2}\\\\AB=\sqrt{16+121}\\\\\boxed{\bf AB=\sqrt{137}}

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\displaystyle\bf\\BC=\sqrt{\Big(-2-(-6)\Big)^2+\Big(7-4\Big)^2}\\\\BC=\sqrt{\Big(-2+6\Big)^2+\Big(7-4\Big)^2}\\\\BC=\sqrt{\Big(4\Big)^2+\Big(3\Big)^2}\\\\BC=\sqrt{16+9}\\\\BC=\sqrt{25}\\\\\boxed{\bf BC=5}

.

\displaystyle\bf\\CD=\sqrt{\Big(2-(-2)\Big)^2+\Big(4-7\Big)^2}\\\\CD=\sqrt{\Big(2+2\Big)^2+\Big(4-7\Big)^2}\\\\CD=\sqrt{\Big(4\Big)^2+\Big(-3\Big)^2}\\\\CD=\sqrt{16+9}\\\\CD=\sqrt{25}\\\\\boxed{\bf CD=5}

.

\displaystyle\bf\\AD=\sqrt{\Big(2-(-2)\Big)^2+\Big(4-(-7)\Big)^2}\\\\AD=\sqrt{\Big(2+2\Big)^2+\Big(4+7\Big)^2}\\\\AD=\sqrt{\Big(4\Big)^2+\Big(11\Big)^2}\\\\AD=\sqrt{16+121}\\\\\boxed{\bf AD=\sqrt{137}}

.

\displaystyle\bf\\P=AB+BC+CD+AD=\sqrt{137}+5+5+\sqrt{137}\\\\\boxed{\bf P=10+2\sqrt{137}}

 

4 0
3 years ago
The regular hexagonal prism tank is completely filled with water. The tank has a height of 5 ft and the area of its base is 22ft
love history [14]

Answer:

110 ft³ of water

Step-by-step explanation:

Use the prism volume formula, V = Bh, where B is the area of the base and h is the height.

Plug in the area of the base and height, and solve for V:

V = Bh

V = (22)(5)

V = 110

So, the volume is 110 ft³

There is 110 ft³ of water in the tank

6 0
3 years ago
If N/8+6=58, then N equals?
GaryK [48]
N equals <em>416</em>

Hope this helps!

8 0
3 years ago
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