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RideAnS [48]
3 years ago
11

500 people fill up 4/9 of the hall. What is the seating capacity of the hall?

Mathematics
2 answers:
Yuliya22 [10]3 years ago
7 0
If 4/9 of the hall hold 500 people, then 1/9 of the hall holds 125 people.
Times that by 9 and you have your answer which is 1125 people.
den301095 [7]3 years ago
7 0
The answer would be 1125 because you have to divide 500 by 4 then multiply it by 9
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A captain is twice as old as his ship was when he was as old as his ship is now.
klio [65]
37 & the ship is 18.......
7 0
3 years ago
et f(x) = x + |2x − 3|. Find all solutions to the equation f(x) = 12. (Enter your answers as a comma-separated list. If an answe
Alinara [238K]

Answer:

1. {5,-9}

2.{4}

3.{9/2}

Step-by-step explanation:

The equation f(x)=x+\lvert 2x-3 \rvert=12 can be solved as follows:

x+\lvert 2x-3 \rvert =12\,\,\,\text{(given equation)}

\lvert 2x-3 \rvert =12-x

2x-3=12-x\,\,\text{or}\,\,2x-3=-(12-x)

3x=15\,\,\text{or}\,\,\x=-9

Then, the solutions of the equation are x=5, x=-9.

Now, if g(x)=5x-3+\lvert x+4\rvert, we can solve the equation g(a)=4a+9 as follows:

5a-3+\lvert a+4 \rvert =4a+9

\lvert a+4\rvert =4a+9-5a+3

a+4 =-a+12\,\,\text{or}\,\,a+4=-(-a+12)

2a=8\,\,\text{or}\,\,4=12

So, the unique solution of this last equation is a=4

The last equation is h(x-1)=x-3, where h(x)=\lvert x \rvert -2x+5.. To solve this equation we can proceed as follows:

h(x-1)=x-3

\lvert x-1\rvert -2(x-1)+5=x-3

\lvert x-1 \rvert -2x+2+5=x-3

\lvert x-1\rvert =3x-10

x-1=3x-10\,\,\text{or}\,\,x-1=-(3x-10)

-2x=-9\,\,\text{or}\,\,4x=11

x=9/2\,\,\text{or}\,\,x=11/4

But, x=11/4 is not a solution of this equation. So the unique solution is x=9/2.

8 0
3 years ago
HELP<br> Write an equation of a line passing through (-8, 6) and parallel to the line y=-4x - 1
MArishka [77]

The line is parallel so it has the same slope as the other line, -4.

Substitute the x and y variables with the given points and find the y-intercept.

(-8, 6)

y = -4x + b

6 = -4(8) + b

6 = -32 + b

6 + 32 = b

38 = b

So the equation is:

y = -4 + 38

4 0
3 years ago
Harrison and Sherrie are making decisions about their bank accounts. Harrison wants to deposit $200 as a principle amount, with
DedPeter [7]

Answer:

Harrison earns: $208.14

Sherrie earns: $216.57

Step-by-step explanation:

Sherrie earns more money than Harrison in 2 years.

5 0
3 years ago
Jack’s first weight increased by 20% and then his new weight decreased by 25%. His final weight is what percent of his beginning
ElenaW [278]

Lets suppose his initial weight was 60 kilograms

A gain of 20%  would make his new eight  60 + 20*60/100

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he lost 25% of this:-

= 72 -   25 * 72/100 =  54 kg

This = (54/60) * 100  = 90% of his beginning weight  Answer


8 0
3 years ago
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