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iragen [17]
2 years ago
13

Y is directly proportional to 1 over the square root of x if y = 7 when x = 36 find y when x = 4

Mathematics
1 answer:
Alecsey [184]2 years ago
5 0

Step-by-step explanation:

y |X(the sign for protionality) 1/√x

y = 7 when x = 36

y = k/√x

7 = k/√36

7 = k / 6 cross multiply

k = 7×6

k = 42

find y when x is 4

y = 42/√x

y = 42/√4

y = 42/2

y = 21

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1-i need to mix 25% mineral spirits to the varnish i am using what ratio of spirit to varnish am i using? 2-if i use 240 ml of v
zhenek [66]

Answer:

(1) The required ratio of spirit to varnish is 1:3.

(2) You need 80 ml of mineral spirit.

(3) The ratio of tapestries' heights to width is 3:2.

Step-by-step explanation:

(1) If you need to mix 25% mineral spirit to the varnish, then the solution would contain 25% mineral spirit and 75% varnish.

So, \frac{spirit}{varnish}=\frac{25}{75}

                  =\frac{1}{3}

Thus, The required ratio of spirit to varnish is 1:3.

(2) If you use 240ml of varnish, then this quantity is 75% of the total solution or ration of varnish to the total solution will be 3:4.

Let x be the quantity of total solution.

Then, 240:x=3:4.

⇒\frac{240}{x}=\frac{3}{4}

⇒3x=240*4

⇒x=\frac{240*4}{3}

⇒x=320

That is, total solution is 320 ml.

Now, Spirit = Total solution - Varnish

⇒Spirit = 320ml-240ml

⇒Spirit = 80ml

Hence, if you use 240 ml of varnish, you need 80 ml of mineral spirit.

(3) Robison's tapestries all measure 1.5m long and 1m wide. First, we express dimensions in whole numbers by multiplying them by 10.

Then, dimensions are 15m long and 10m wide.

Now, Height : Width = 15:10

⇒\frac{Height}{Width} =\frac{15}{10}

⇒\frac{Height}{Width} =\frac{3}{2}

Hence, the ratio of tapestries' heights to width is 3:2.

8 0
3 years ago
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Scilla [17]

The annual income of Janice when she accepts new job in Chicago be after paying rent, transportation, and food is, $409190.

<h3>What is the total cost?</h3>

Total cost or the final cost is the summation of all the cost spend while buying any good or taking any service.

Janice has been offered a job in Chicago where her current salary of $30,000 will increase by 20 percent. Thus, his new salary is,

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Before accepting the position, Janice wants to understand her potential cost of living.

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Janice works 5 days a week for 52 weeks per year. Her annual income be after paying rent, transportation, and food is,

S=432000-1500\times12-3.50\times5\times52-75\times52\\S=409190

Thus, the annual income of Janice when she accepts new job in Chicago be after paying rent, transportation, and food is, $409190.

Learn more about the total cost here;

brainly.com/question/25109150

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