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Mama L [17]
3 years ago
8

If y varies inversely as x and y=16 when x=4, find y when x=3

Mathematics
1 answer:
iren [92.7K]3 years ago
6 0

Answer:

21.33 to nearest hundredth

Step-by-step explanation:

Inverse Variation is y = k / x where k is a constant.

Plug in the given values to find k:-

16 = k/4

k = 4*16 = 64 so the equation  of variation is y = 64/x.

So when x = 3,   y = 64/3 = = 21.33 to nearest hundredth.

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Anettt [7]

Answer:

Step-by-step explanation:

<u>Remember, the first point in a bracket like this (6, 1) is the x coordinate. Here, 6 is your x coordinate. So, if we actually had the line (which we don't have right now, it would be lined up with the number 6 on the x axis. And the second point, 1 here, is the y coordinate. Which tells you where this point falls on the y axis. it would be lined up with the number 1 on the y axis. </u> First, let's work on the parts where you are listing the points. it seems to give you the x coordinate 2 on the first one. So on the x axis which is the horizontal line that says Number of Books Sold, go to the number 2. Then y upward with your mouse and the first point that appears with the x coordinate of 2 (it's the 2nd point if you start from the bottom of the line and go up) has the y coordinate of 20 because if you use your mouse to go left on the same gray line that point is on, you will hit 20 on the line that says Total Amount Payed (this is your y axis). Now, on the next point it just gives you the y coordinate, 40. Which means that it should be on the grey line that hits the number 40 on the Total Amount Payed line (your y axis). So if you find that point and go down with your mouse on the gray line right under it, you should hit 4. So that point is  (4, 40). 6 is not labeled but it is the gray line after the 5 on the x axis. If you go up 6, you hit the to right corner of the graph and if you trace it to the y-axis, it's not labeled but it should be 60 because if you pay attention, the numbers on the y-axis are going up by 10s. The x coordinate represents The Number of Books Sold because it says that under the x axis. The y coordinate represents the Total Amount Payed (dollars). ordered pairs are like ratios because they are both pairs. Ordered pairs tell you how much to go up, down, forwards, and backwards on a coordinate plane while ratios tell you a proportion. I am including a picture to help you out. I hope this made sense and was helpful!

8 0
2 years ago
Two smoothies and an ice cream cone cost $7.50. Three smoothies and two ice cream cones cost $12. Calculate the cost of a smooth
anygoal [31]

Answer:

Smoothie = 3

Ice cream = 1.5

Step-by-step explanation:

2s + i = 7.5

3s + 2i = 12

subtract the equations

(3s + 2i) - (2s + i) = s + i

s + i = 4.5

2s + i = 7.5,  so s must equal 3 (7.5 - 4.5)

If s = 3, then i is 1.5 (4.5 - 3.5)

To check, plug 3 and 1.5 into s and i.

2(3) + 1.5 = 7.5

6 + 1.5 = 7.5

7.5 = 7.5

3(3) + 2(1.5) = 12

9 + 3 = 12

12 = 12

5 0
3 years ago
The perimeter of a rectangle must be less than 170170 feet. If the length is known to be 4444 feet, find the range of possible w
katrin [286]

Answer:

w \in (0,41)

where w is width of rectangle.

Step-by-step explanation:

We are given the following in the question:

The perimeter of a rectangle must be less than 170 feet.

Length of rectangle = 44 feet

Perimeter of rectangle =

2\times (\text{Length + Width})

Let w be the width of rectangle.

According to the question,

P < 170\\2(44 + w)

Thus, the width of triangle should be less than 41. Since w cannot take negative values, we can express value of w in interval notation as,

w \in (0,41)

4 0
3 years ago
An electrician charges Mr. Speer $300 before sales tax, for wiring his home. (a) What is the amount of sales tax that Mr. Speer
PilotLPTM [1.2K]

Answer: See explanation

Step-by-step explanation:

Your question isn't complete as you didn't give the sales tax percent. In order to solve the question, let's assume that the sales tax is 6%.

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This will be:

= Sales tax percent × Amount charged

= 6% × $300

= 6/100 × $300

= 0.06 × $300

= $18

The sale tax is $18

(b) What is the total amount Mr. Speer has to pay?.

The total amount will be the addition of the amount charged and the sales tax. This will be:

= $300 + $18

= $318

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3 years ago
Simplidy y square root 6 over 6 square root y​
Contact [7]

Answer:

Step-by-step explanation:

You can multiply the fraction by 6 and then you are able to cancel out and find the simplification

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