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3 years ago

13

Each chef at "Sushi Emperor" prepares 15 regular rolls and 20 vegetarian rolls daily. On Tuesday, each customer ate 2 regular ro

lls and 3 vegetarian rolls. By the end of the day, 4 regular rolls and 1 vegetarian roll remained uneaten.

1 answer:

Natali [406]3 years ago

8 0

The answer would be: There were 2 chefs and 13 customers.

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The scale on the map is stated as 1 : 200000. A main road connects two towns which are 28 kilometres apart. How far will it be o

loris [4]

Answer:

The distance on the map between the two towns=14 cm

Step-by-step explanation:

Step 1

Express the scale as;

1:200,000 this means that 1 cm on the map represents 200,000 cm on the road, 1 cm:200,000 cm

Step 2

Convert 28 kilometers to m

1 meter=1,000 kilometers

28 kilometers=28×1,000=28,000 meters

Convert 28,000 meters to centimeters

1 meter=100 centimeters

28,000 meters=28,000×100=2,800,000 centimeters

Step 3

Using the scale factor of 1:200,000 convert 2,800,000 cm on the road can be converted to map measurements as follows;

Distance on the map=scale factor×distance on the road

where;

scale factor=1/200,000

distance on the road=2,800,000 cm

replacing;

Distance on the map=(1/200,000)×2,800,000

Distance on the map=14 cm

The distance on the map between the two towns=14 cm

5 0

3 years ago

Write an expression that is equivalent to (4x + 9)

zalisa [80]

As this is already in its simplest form, I believe the only other expression is 4*X +9

4 0

3 years ago

Read 2 more answers

The equation of a circle is ( x - 3) 2 + ( y + 2) 2 = 25. The point (8, -2) is on the circle.

Shtirlitz [24]

Answer:

x =8 is the equation of the tangent.

Step-by-step explanation:

Here the equation of the given circle is: $(x-3)^{2} + (y+2)^{2} = 25$

Now, comparing it with the general equation of circle: $(x-h)^{2} + (y -k)^{2} = r^2$

we get the central coordinates (h,k) = (3,-2)

So, the slope of the line joining center and (8, -2) = $\frac{-2 -(-2)}{8-3} = \frac{0}{5} = 0$

Since the slope of line = 0, line is parallel to x axis.

Now, as tangent and the line is perpendicular to each other

⇒Slope of the tangent = -1/ slope of the line = $\frac{-1}{0}$

Now, by point slope formula: the equation of the tangent is

(y-y0) = m (x-x0)

or, $(y +2) = \frac{-1}{0} (x -8)$

or x =8 is the equation of the tangent.

8 0

3 years ago

Has anyone done this already??

andrey2020 [161]

Answer:

log(4x3y)

Step-by-step explanation:

4 0

3 years ago

Carla is going to draw a marble from the bag shown below, replace it, and then draw another marble. What is the probability that

Contact [7]

Answer:

7/80

Step-by-step explanation:

(3 green, 4 yellow, 5 blue, 8 pink) = 20 marbles

P ( green or yellow ) = number of green or yellow / total

= (3+4)/20 = 7/20

Replace

so we have (3 green, 4 yellow, 5 blue, 8 pink) = 20 marbles

P (blue) = number of blue/ total

= 5/20 = 1/4

P ( green or yellow, replace, blue) = 7/20 * 1/4 = 7/80

8 0

3 years ago