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Veronika [31]
3 years ago
12

How many is (k)/(4)=(3)/(8)

Mathematics
1 answer:
Leona [35]3 years ago
6 0

Answer:

k= 3/2

Step-by-step explanation:

\frac{k}{4}  =  \frac{3}{8}   \\  \\ k =  \frac{12}{8}  \\ k =  \frac{3}{2}

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Which counterclockwise rotation is equivalent to a clockwise rotation of 130
diamong [38]

Answer:

230

Step-by-step explanation:

360 minus 130 is 230.

6 0
2 years ago
2x - 3y &gt; -12.<br> Rewrite the inequality so that y is isolated
kifflom [539]

Answer:

y < 2/3x + 4

Step-by-step explanation:

Hi there! So first, we need to subtract 2x from both sides:

-3y > -2x - 12

Now, we need to divide both sides by -3 to isolate y. Since we are dividing by a negative value, <u>our</u><u> </u><u>inequality</u><u> </u><u>symbol</u><u> </u><u>will</u><u> </u><u>be</u><u> </u><u>flipped</u><u> </u><u>from</u><u> </u><u>></u><u> </u><u>to</u><u> </u><u><</u><u>.</u>

Your final answer is:

y < 2/3x + 4

6 0
3 years ago
Three more Than the quotient of a number and 2 is equal to 7
arlik [135]

Answer:

Step-by-step explanation:

the quotient is the result of division

let x represent the number

(x/2) + 3 = 7

5 0
3 years ago
According to a certain central bank from 2000 to 2016 the average price of a new home in a certain region increased by 62 % to $
Alla [95]

Answer:  $ 290 thousand

Step-by-step explanation:

Given : According to a certain central bank from 2000 to 2016 the average price of a new home in a certain region increased by 62 % to $470 thousand.

Let X be the the average price of a new home in 2000 .

Then , the 62 % increase in price is given by :-

x+0.62(x)=x(1+0.62)=1.62x

Since , the the average price of the home in 2016 = $470 thosand

1.62x=470\\\\\Rightarrow\ x=\dfrac{470}{1.62}=290.12345679\approx290

Hence, the average price of a new home in 2000 =  $ 290 thousand .

3 0
3 years ago
A rectangular container can hold 45 candles, while a cylindrical container holds 41 candles. Each rectangular
kap26 [50]

Answer:

  a) no

  b) 143 rectangular containers

  c) 157 cylindrical containers

  d) both (preferring rectangular for the bulk of an order)

Step-by-step explanation:

a) If the company needs to package 6,400 candles, should it use only rectangular or only cylindrical containers to minimize costs?

  No.*

For packaging 41 candles or fewer, the cylindrical container costs less than the rectangular one.

For packaging 6400 candles, there will be 10 candles left over if rectangular containers are used for most of the packaging needs. A dollar can be saved by packaging these remaining candles in a cylindrical container.

__

b) How many rectangular containers will be necessary to package 6,400 candles?

  6400/45 = 142 10/45

If rectangular containers are used for all, then 143 are needed.

__

c) How many cylindrical containers will be necessary to package 6,400 candles?

  6400/41 = 156 4/41

If cylindrical containers are used for all, the 157 are needed.

__

d) Which container should the company use to minimize costs?

  The cost of 143 rectangular containers is 143×$16 = $2288

  The cost of 157 cylindrical containers is 157×$15 = $2355

  The cost of 142 rectangular and 1 cylindrical container is $2287

If only one shape container is used, the company should use rectangular containers to minimize cost. If either shape can be used, cost will be minimized by using one cylindrical container for the remnant of the order.

_____

* This question is directed solely at the cost of materials required for packaging. We have advocated that both rectangular and cylindrical containers be made available. As a practical matter, the cost to the company of maintaining inventory of both sizes of containers may exceed the savings associated with using a cheaper container for smaller orders.

8 0
3 years ago
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