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jasenka [17]
3 years ago
14

The equation y = 0.002x - 0.30 can be used to determine the approximate cost, y in dollars, of producing x items. How many items

must be produced so the cost will be no more than $387?
Mathematics
1 answer:
NikAS [45]3 years ago
4 0

Answer:

Company must not produce more than 193,650 units to keep cost as $387

Step-by-step explanation:

we are given with the cost function as

y = 0.002x - 0.30

where x is the number of items produced

We are asked to determine the number of items must be produced so that the cost of production does not go beyond $387

Hence

we put y = 387 and then solve the equation thus formed for x

y = 0.002x - 0.30

387 = 0.002x - 0.30

adding 0.30 on both sides

387+0.30=0.002x

387.30=0.002x

dividing both sides by 0.002

\frac{387.30}{0.002}=x

x=193,650

Company must not produce more than 193,650 units to keep cost as $387

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Luden [163]

Answer:

"Dominic lived in Spain for 13 months and Columbia for 7 months."

Step-by-step explanation:

let months stayed in spain be "s" and months stayed in columbia be "c"

We can write 2 equations.

Since, lived in Spain and Columbia for a total of 20 months, we can write:

s + c = 20

Also, since 120 words per month in Spain and 150 words per month in Columbia for a total of 2610 new words, we can write:

120s + 150c=2610

Solving first for s:

s = 20 - c

Putting in 2nd and solving:

120(20 - c) + 150c = 2610

2400 - 120c + 150c = 2610

30c = 210

c = 7

Now,

s = 20 - c = 20 - 7 = 13

So

"Dominic lived in Spain for 13 months and Columbia for 7 months."

5 0
3 years ago
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Captain Marvel — is sighted at an altitude of 300 feet and is descending
Digiron [165]

Answer:

She will touch ground in 30 seconds

Step-by-step explanation:

7 0
3 years ago
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Is this statement always true?A cross section parallel to the base of a right rectangular prism is a square
Dominik [7]

Answer:

Step-by-step explanation:

No, it's not always true

4 0
3 years ago
A 10-foot ladder touches the side of a building at a point 8 feet above the ground. At what height would a 22-foot ladder touch
WARRIOR [948]
<h2>Answer:</h2>

8.75 feet

<h2>Step by step:</h2>

Given that a 12 foot ladder leans against a building seven feet above the ground.

By using trigonometry ratio, the angle between the ladder and the ground will be

SinØ = opposite/ hypothenus

SinØ = 7 / 12

SinØ = 0.58333

Ø = Sin^-1(0.58333)

Ø = 35.69 degree

At what height would an 15 foot ladder touch the building if both ladders form the same angle with the ground?

Using the same trigonometric ratios

SinØ = opposite/hypothenus

Sin 35.69 = opposite/ 15

Cross multiply

Opposite = 15 × sin 35.69

Opposite = 8.75 feet

Therefore, the ladder will touch the building if both ladders form the same angle with the ground at height 8.75 feet.

6 0
3 years ago
jan work 4 hours on a job and ted worked 5 hours both were paid the same hourly rate together they earned $31.50 how much did ea
TiliK225 [7]
This could by seen as a ratio:
4:5

Add up the ratio. Then divide the money earned, by the ratio.
4 + 5 = 9
31.50 / 9 = 3.5

Then you times the individual hours by this.
4 x 3.5 = $14
5 x 3.5 = $17.5

So Jan earned $14
And Ted earned $17.50
8 0
3 years ago
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