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2 years ago

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Over the summer, for every 11 okra seeds Dana planted, 6 grew into plants. If he planted 110 okra seeds, how many grew into plan

ts? A. 60 B. 105 C. 202 D. 45

1 answer:

PilotLPTM [1.2K]2 years ago

5 0

Answer:

A

Step-by-step explanation:

write it as a ratio

11:6 = 110: x

cross multiply

11x= 660

divide by 11 on both sides

x= 60

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Find a set of parametric equations of the line with the given characteristics. (Enter your answer as a comma-separated list of e

emmainna [20.7K]

This question is incomplete, the complete question is;

Find a set of parametric equations of the line with the given characteristics. (Enter your answer as a comma-separated list of equations in terms of x, y, z, and t.) The line passes through the point (3, 1, 2) and is parallel to the line given by x = y = z.

Answer:

the set of parametric equations of the line with the given characteristics are; x = t+3, y = t+1, z = t+2

Step-by-step explanation:

Given that;

line x = y = z and point ( 3, 1, 2 )

the given line can be written as;

[x-0 / 1] = [y-0 / 1] = [z-0 / 1]

if two lines are parallel directional ratios are equal.

so DIRECTIONAL RATIOS of given line is ( 1, 1, 1 )

therefore required line is;

[x-3 / 1] = [y-1 / 1] = [z-2 / 1] = t

⇒ [x-3 / 1] = t

x = t+3

[y-1 / 1] = t

y = t+1

[z-2 / 1] = t

z = t+2

Therefore the set of parametric equations of the line with the given characteristics are; x = t+3, y = t+1, z = t+2

8 0

3 years ago

What are the coordinates of (-4,-2) rotating 90° counterclockwise?

RUDIKE [14]

Answer:

(2, -4)

Step-by-step explanation:

The rotation of an object <u>turns</u> the object around a <u>fixed point</u> called the center of rotation.

A <u>rotation</u> of 90° counterclockwise means:

A 90° rotation counterclockwise with the origin (0, 0) as the center of rotation.

The rule for a counterclockwise rotation of 90° about the origin is:

(x, y) → (-y, x)

Therefore:

(-4, -2) → (2, -4)

Learn more about transformations here:

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4 0

1 year ago

Need help w this please

rusak2 [61]

Solved using proportions.

8 0

3 years ago

Employees at a clothing store recieve 20% discounts on what they purchase at that store. How much will an employer save on a $45

mamaluj [8]

Easiest way to work it out is to divide by ten, that gives 10% of your original number. Multiply that by two to get 20% and minus that from the original number to get the discount.
450/10 = 45 which is 10% of 450.
20% of 450= 10% x 2 or 45 x 2
therefor 20% of 450 is 90.
450-90 = the discount the shoppers recieve.

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3 years ago

after selling a dozen copies of the daily newspaper, a newsstand had fewer than 79 copies left. how many copies did the newsstan

Naya [18.7K]

90
-12. The newsstand had 90 copies at the beginning of the day
===
78

5 0

3 years ago