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hichkok12 [17]
3 years ago
11

Find the constant of variation k for the direct variation 3x+5y=0

Mathematics
1 answer:
Eva8 [605]3 years ago
3 0

Answer:

-3/5

Step-by-step explanation:

3x+5y=0

Subtract 3x from each side

3x+5y-3x=0-3x

5y = -3x

Divide each side by 5

5y/5 = -3x/5

y = -3/5 x

A direct variation is y = kx

y = -3/5 x

The constant of variation is -3/5

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“x = 1.15” is the answer
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1 year ago
Water is added or drained from a tank each day. The first day, 910 of a gallon is added to the empty tank. The second day, 710 o
dimulka [17.4K]

Answer:

The quantity of water in the tank after 15 days is 1610.0 gallons OR 1.61 × 10³ gallons.

Step-by-step explanation:

The amount of water in the tank after 15 days is given by the series

910+(−710)+810+(−610)+⋯+310+(−110)+210

From the series, we can observe that, if water is added for a particular day then water will be drained the following day.

Also, for a day when water is to be added, the quantity to be added will be 100 gallon lesser than the quantity that was last added. Likewise, for a day when water is to be drained, the quantity to be drained will be 100 gallons lesser than the quantity that was last drained.

Hence, we can complete the series thus:

910+(−710)+810+(−610)+710(-510)+610(-410)+510(-310)+410(-210)+310+(−110)+210

To evaluate this, we  get

910-710+810-610+710-510+610-410+510-310+410-210+310-110+210

= 1610.0 gallons

Hence, the quantity of water in the tank after 15 days is 1610 gallons OR 1.61 × 10³ gallons.

8 0
3 years ago
Tyler’s brother earns a commission. He makes 2.5% of the amount he sells. Last week, he sold $900 worth of shoes. How much was h
lukranit [14]

Answer:

$22.5

Step-by-step explanation:

2.5% of 900

0.025(900)= 22.5

7 0
3 years ago
4 kg 2 dag when converted in g gives you?
pantera1 [17]

Answer:

4020 grams

Step-by-step explanation:

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Total: 4000g + 20g = 4020g

3 0
2 years ago
Read 2 more answers
Given that QT is an altitude of triangle QRS, measure of angle QTS=(6x+36), and QR = 2x – 5, find QR.
Alexeev081 [22]
We know that
if <span>QT is an altitude of triangle QRS
then
</span><span>the measure of angle QTS is equal to 90</span>°
so
6x+36=90-----> 6x=90-36----> x=54/6
x=9
QR=2x-5-----> QR=2*9-5-----> QR=18-5-----> QR=13

the answer is
QR=13
6 0
3 years ago
Read 2 more answers
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