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Sindrei [870]
3 years ago
8

Workout the following divisions.​

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
6 0

Answer:

12x

Step-by-step explanation:

12x(8x - 20) \div 4(2x - 5) \\  \\  = 12x  \times 4(2x - 5) \div 4(2x - 5) \\  \\  =  \frac{12x \times \cancel{ 4(2x - 5)}}{\cancel{ 4(2x - 5)}}  \\  \\  = 12x

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To make a specific hair dye, a hair stylist uses a ratio of 1 1/8 ounces of red tone, 3/4 ounces of gray tone, and 5/8 ounces of
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Answer: To make 20 ounces of dye, we need 3 oz red tone, 6 oz of gray tone and 5 oz of brown tone.

To make 100 ounces of dye, we need 15 oz red tone, 30 oz of gray tone and 25 oz of brown tone.


Step-by-step explanation:

The amount of specific hair dye made by given ingredients=1\frac{1}{8}+\frac{3}{4}+\frac{5}{8}

=\frac{9}{8}+\frac{3}{4}+\frac{5}{8}

=\frac{9+6+5}{8}=\frac{20}{8}=\frac{5}{2}\ oz

Therefore , The amount of specific hair dye made by given ingredients=\frac{5}{2} qz

Multiply reciprocal of \frac{5}{2} to each ingredient to find the amount of each ingredient required to make 1 oz of specific hair dye.

To make 1 oz of specific dye, the amount of red tone needed=\frac{3}{8}\times\frac{2}{5}=\frac{3}{20}\ oz

Similarly, Gray tone=\frac{3}{4}\times\frac{2}{5}=\frac{3}{10}\ oz

Brown tone=\frac{5}{8}\times\frac{2}{5}=\frac{1}{4}\ oz

Now, multiply 20, to each

To make 20 oz of specific dye, the amount of red tone needed=\frac{3}{20}\times20=3\ oz

Similarly, Gray tone=\frac{3}{10}\times20=6\ oz

Brown tone=\frac{1}{4}\times20=5\ oz

To find each dye to make 100 ounces of dye, multiply 5 to the above amounts, [since 100=20\times5 ]

To make 20 oz of specific dye, the amount of red tone needed=15\ oz

Similarly, Gray tone=30\ oz

Brown tone=25\ oz


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