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3 years ago

I'm not even sure where to start.

Mathematics

2 answers:

Kaylis [27]3 years ago

8 0

950,000,000/5 months= 190,000,000 per month

190,000,000 per month* 12 months in a year= 2,280,000,000

Final answer: 2,280,000,000 donuts sold per year

Mnenie [13.5K]3 years ago

5 0

First, find out approximately how many they sell in ONE month, by dividing their 5 month produce, by 5!

950,000,000 / 5 = 190,000,000 approximate monthly doughnuts.

Then, multiply this approximate one month produce by 12 for their yearly produce:

190,000,000 * 12 = 2,280,000,000 doughnuts (2 billion, 280 million).

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Write an equation of a line that is perpendicular to y = 2/3 x + 8 and has a y-intercept of

Otrada [13]

Answer:

y = -3/2x + 2

Step-by-step explanation:

Since you know it has a point at (0, 2) - the y intercept, put those values into the equation and solve. To be perpendicular it seems the reciprocal of the slope with the opposite sign, so 2/3 is the original slope, and -3/2 becomes the new slope.

y = 2/3x + 8 becomes

2 = -3/2(0) + b We substitute in the x and y values, but we have to figure out what the last number will be.

2 = 0 + b

b = 2

So put the whole equation together

y = -3/2x + 2

3 0

2 years ago

Determine the value of x in the diagram.<br> x<br> 2x<br> 2x

ryzh [129]

Answer:

x = 60

Step-by-step explanation:

The sum of exterior angles in a rectangle is equal to 360

so to find the value of x we need to use all given values and write an equation:

x + 2x + x + 2x = 360 add like terms

6x = 360 divide both sides by 6

x = 60

5 0

2 years ago

Suppose that two people standing 2 miles apart both see the burst from a fireworks display. After a period of time, the first p

Usimov [2.4K]

Answer: approximately 5148 feet directly north of point A

This is equivalent to 0.975 miles

==============================================================

Explanation:

Check out figure 1 (attached image below) to see how the drawing is set up.

Points A and B are separated by 2 miles, or 10560 feet. Use the conversion factor 1 mile = 5280 feet.

Because sound travels at roughly 1100 feet per second (assuming all of the conditions are right), this means that after x seconds, the sound wave has traveled a total distance of 1100x feet. This is the distance from A to C. Point C is the firework location.

The distance from B to C is 1100(x+6) feet because it takes 6 more seconds for the soundwave to travel from C to B, compared from C to A.

Note that triangle ABC is a right triangle. The 90 degree angle is at point A.

We can use the pythagorean theorem to solve for x

See figure 2 in the attached images to see the steps on solving for x. The numbers get quite big, though in the end x is fairly small. We end up with x = 4.68, which is approximate due to the 1100 figure being approximate.

This means the sound wave takes about 4.68 seconds to go from point C to point A.

With this x value, we can compute the expression 1100x to get

1100*x = 1100*4.68 = 5,148 feet

To convert this to miles, divide by 5280

(5148)/(5280) = 0.975

Therefore,

5148 feet = 0.975 miles