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Helga [31]
3 years ago
8

What is the solution to -3/7m < 21

Mathematics
2 answers:
kakasveta [241]3 years ago
8 0

Answer:

C. m>-49

Step-by-step explanation:

Anika [276]3 years ago
5 0

Simplify 3/7m to 3m/7

-3m/7 < 21

Multiply both sides by 7

-3m < 21 × 7

Simplify 21 ×7 to 147

-3m < 147

Divide both sides by -3

m > -147/3

Simplify 147/3 to 49

<u>m > -49</u>

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In order to do this sum (without using a calculator) you must find the lowest common multiple of 5 and 4.  It is 20.  This means that the bottom part of both fractions must become 20.  /20 + /20.  For the top half, you  must multiply the original top halves by what you multiplied the bottom halves.  1 X 4 = 4.  3 X 5 = 15.  The question now becomes:  4/20 + 15/ 20.  The answer is 19/ 20
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4 years ago
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

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

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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.

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Hope this helps! Good luck!
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