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amm1812
3 years ago
15

At a carnival , 7 out of 10 people order a hot dog. If there is 90 people at the carnival, how many of them did

Mathematics
1 answer:
maxonik [38]3 years ago
8 0

Answer:

27 people

Step-by-step explanation:

Out of 10 people, 7 people ordered a hot dog.

Multiply both sides by 9:

Out of 90 people, 7\times9 people ordered a hot dog.

Thus, 63 people ordered a hot dog.

Number of people who did not order a hot dog: 90-63=27

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Answer:

y =  -  \frac{5}{3} x + 12

Step-by-step explanation:

First, rewrite the given equation in the form of y=mx+c.

m is the gradient while c is the y-intercept.

3x-5y=8

5y= 3x -8

y =  \frac{3}{5} x -  \frac{8}{5}

Thus, the gradient of the given equation is ⅗.

The product of the gradients of perpendicular lines is -1.

(gradient of line)(⅗) = -1

gradient of line= -1 ÷⅗

gradient of line= -  \frac{5}{3}

y =  -  \frac{5}{3} x + c

To find the value of c, substitute a coordinate.

When x=3, y=7,

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7= -5 +c

c= 7+5

c= 12

Hence, the equation of the line is y =  -  \frac{5}{3} x + 12.

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3 years ago
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Answer:

Step-by-step explanation:

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-- The smallest perimeter you can make with a certain area
is a circle.

-- The NEXT smallest perimeter with the same area is a square.

   With 1-ft by 1-ft square bricks, the shortest perimeter she could
make would be by using her bricks to make it as square as possible. 
Without cutting bricks into pieces, the best she could do would be  

                           (13 bricks) x (3 bricks) .

                            =    (13-ft) x (3-ft)

           Perimeter = (2 x length) + (2 x width)

                             = (2 x 13-ft)  +  (2 x 3-ft) 
                           
                             =      (26-ft)  +  (6-ft)  =  32 feet  <== shortest perimeter.

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it takes to enclose the same area.  That means Mary has to make
a rectangle as long and skinny as she can.

The longest perimeter she can make (without cutting bricks into
pieces) is    (39 bricks) x (1 brick) .

                        = (39-ft)  x  (1-ft) .

    Perimeter  =  (2 x length) + (2 x width)

                       =   (2 x 39-ft)  +  (2 x 1-ft)

                       =        (78-ft)  +  (2-ft)     =     80 feet .    

What she'll have then is a brick path, 39 feet long and 1 foot wide,
and when you walk on it, you'll need to try hard to avoid falling off
because it's only 1 foot wide.  

7 0
3 years ago
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