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Blizzard [7]
3 years ago
11

9z(7z-4)=6 step by step please

Mathematics
2 answers:
mr_godi [17]3 years ago
5 0
Expand 9z(7z - 4): 63z^2 - 36z
63z^2 - 36z = 6
Subtract 6 from both sides
63z^2 - 36z - 6 = 6 - 6
Simplify
63z^2 - 36z - 6 = 0
z= 6 + radicant 78/ 21, z= 6- radicant 78/ 21
m_a_m_a [10]3 years ago
4 0
Distribute 9z to 7z and -4 
You get 56z^2 - 36z = 6 
56^2 - 36 - 6 = 0 
Solve using quadratic formula 
z is approx 0.78 and approx. -0.14
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10. John is mixing paint.He uses black, green and blue in the ratio 6:3: 1. How much of black green and blue paint is needed to
Nadusha1986 [10]

The given ratio becomes 6x : 3x : x.

6x = black paint

3x = green paint

x = blue paint

6x + 3x + x = 500

10x = 500

x = 500/10

x = 50

6x = 6(50) = 300

3x = 3(50) = 150

x = 50

Answer:

300 ml of the black paint.

150 ml of the green paint.

50 ml of the blue paint.

8 0
2 years ago
How do the gcf and the lcm help you when multiplying and adding or subracting fractions
kari74 [83]
<h3>Explanation:</h3>

GCF: the greatest common factor of numerator and denominator is a factor that can be removed to reduce the fraction.

  <em>Example</em>

The numerator and denominator of 6/8 have GCF of 2:

  6/8 = (2·3)/(2·4)

The fraction can be reduced by canceling those factors.

  (2·3)/(2·4) = (2/2)·(3/4) = 1·(3/4) = 3/4

___

LCM: the least common multiple of the denominators is suitable as a common denominator. Addition and subtraction are easily performed on the numerators when the denominator is common.

  <em>Example</em>

The fractions 2/3 and 1/5 can be added using a common denominator of LCM(3, 5) = 15.

  2/3 + 1/5 = 10/15 + 3/15 = (10+3)/15 = 13/15

4 0
4 years ago
Daniel buys a new car.
Gennadij [26K]

Answer:

Step-by-step explanation:

Value of the car at the end of the first year = £9680

Depreciation = 12 %

Original price = £ x

If we reduce 12% of original price from x, we will get £9680

x - 12% of x  = £ 9680

x-\frac{12}{100}x=9680\\\\\\\frac{88}{100}x=9680\\\\x=9680*\frac{100}{88}\\\\x = 11000

Original price  = £ 11000

4 0
3 years ago
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
natima [27]

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


3 0
3 years ago
Read 2 more answers
A letter in the word restoration is randomly selected. what is the probability of selecting a vowel
Bas_tet [7]
5/11 of the probability
8 0
3 years ago
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