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IceJOKER [234]
3 years ago
6

9. The measure of two angles are

Mathematics
1 answer:
Savatey [412]3 years ago
3 0

Answer:

(16.5 + 1.5n)° = (12 + 2n)° [given]

=> 16.5 – 12 = 2n – 1.5n

=> 4.5 = 0.5n

=> n = 4.5/0.5

=> n = 9

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Answer: (a) The ratio of spirit to varnish is 1 : 3

(b) You will need 80 ml of mineral spirits

(c) Ratio = 3 : 2

Step-by-step explanation: (a) If you have to mix 25% mineral spirit to the varnish as required in the question, then the whole solution would effectively contain 25 percent spirit and 75 percent varnish, giving you a hundred percent solution. To express both quantities in ratio can be done as follows;

Ratio = Spirit : Varnish

Ratio = 25 : 75

Ratio = 1 : 3

(b) Next, if you use 240 ml of varnish, this quantity would constitute 75 percent or ratio 3 out of 4 of your total solution. Therefore 240 ml of varnish can be expressed as follows;

240 : x = 3 : 4

Where x is the total solution and the right hand side (3 : 4) expresses the ratio of varnish in relation to the total solution. Hence,

240/x = 3/4

By cross multiplication you now have,

3x = 240 * 4

x = 960/3

x = 320

If x is the total solution which is 320 ml, and varnish constitutes 240 ml, then spirit equals,

Spirit = Total solution - varnish

Spirit = 320 - 240

Spirit = 80.

Therefore, you would need 80 ml of mineral spirits.

(c) Robson's tapestries all measure 1.5 m by 1 m. This can be expressed in whole numbers by first eliminating the decimal. Multiplying both dimensions by 10 results in,

1.5 (10) x 1 (10)

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If both measurements can also be expressed as 15 m by 10 m, then reducing to the least terms would result in 3 by 2. That is,

15/5 by 10/5

3 by 2

Expressed as a ratio, this now becomes

Ratio = 3 : 2

6 0
3 years ago
The sale price of every item in a store is 75% of its usual price. A. The usual price of a jacket is $80, what is its sale price
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75 ×0.01 = 0.75

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Since x=months,

50x=y

Where x is the number of months times the monthly charge. Y is just the output, or end value.

I hope this helps!
~kaikers
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The length of a quarter is 0.955 inch. Round the length of a quarter to the nearest tenth of an inch./8925047/32fb89d7?utm_sourc
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