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tensa zangetsu [6.8K]
3 years ago
12

Heather chops 250 carrots in 2 hours, and 750 carrots in 6 hours. Write an equation that represents the direct relationship betw

een carrots and time.
Mathematics
2 answers:
Luda [366]3 years ago
3 0
C represents carrots. t represents time in hours.

c= 125t

To find this equation, I found the unit rate, or how many carrots were chooped per hour. I then plugged it into slope intercept form (y=mx+b) where the y intercept was 0 because she can chop 0 carrots in 0 hours.
soldi70 [24.7K]3 years ago
3 0
The equation would be c=125h, where c equals the number of carrots and h is the number of hours.

Basically it takes 1 hour to chop 125 carrots. 

Hope this helps :)
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What is the value of x?
Lerok [7]

Answer:

  3√2

Step-by-step explanation:

The hypotenuse of an isosceles right triangle is √2 times the side length.

  x = 3√2

_____

All these triangles are similar, so the ratio of hypotenuse to leg is the same for all.

  hypotenuse/leg = x/3 = (3+3)/x

  x² = 3·6 = 3²·2 . . . . cross multiply (identify square factors)

  x = 3√2 . . . . . take the square root

7 0
3 years ago
If an egg is thrown up and off the roof of a 100 foot building with an initial upward velocity of 10 feet per second, how long u
Deffense [45]
The equation of the height as a function of time for this case is given by:
 h (t) = - 16t ^ 2 + 10t + 100
 By the time the egg hits the ground we have:
 -16t ^ 2 + 10t + 100 = 0
 We look for the roots of the polynomial:
 t1 = -2.2069555463432966
 t2 = 2.8319555463432966
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it hits the ground at:
 
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8 0
3 years ago
There are 14 apples in a basket. 6 of these apples are green. the rest of them are red.
kobusy [5.1K]
8:14 is ratio to red to all apples
8:6 is the ratio to green apples

5 0
2 years ago
One number is eight less than a second number. Five times the first is 6 more than 6 times the second. Find the numbers.
-Dominant- [34]

Answer:

-42/11

Step-by-step explanation:

x = y - 8

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So now solve the system of equations, divide everything in the second equation by 5 to get it to x = 6/5 - 6y/5

Now...

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5 0
3 years ago
Help please. this doesn't make sense ​
saveliy_v [14]

Answer:

a = 39.2650873379cm

b = 11.5529459767cm

Step-by-step explanation:

a - Use the area of a triangle equation -  1/2 * a * b * Sin(C)

1/2 * 8 * 10 * Sin(79) = 39.2650873379cm

b - Use the cosine rule - c^2 = a^2 + b^2 - (2 * a * b * Sin(C)

64 + 100 - (2 * 8 * 10 * Cos(79)) = 133.4705607398

c = square root of 6.9396506484 = 11.5529459767cm

Put to however many significant figures / decimal places required.

:)

5 0
2 years ago
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