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IgorC [24]
3 years ago
10

George is making brown paint he wants to make brown paint he must mix purple and yellow paint together in a 1:1 ratio. In order

to make purple he must mix red and blue paint together at a ratio of 2 quarts red to 1 quart of blue. How many quarts of yellow does he need
Mathematics
1 answer:
Kitty [74]3 years ago
6 0

Answer:

3/4 quarts of yellow paint is needed

Step-by-step explanation:

From the question, we are told that:

In order to make purple he must mix red and blue paint together at a ratio of 2 quarts red to 1 quart of blue.

3 quart of Purple paint mix requires 2quarts of red paint and 1 quart of blue paint.

We are also told that:

When George wants to make brown paint he must mix purple and yellow paint together in a 1:1 ratio.

This means 1 Purple paint to 1 Yellow paint

4/4 quarts of Yellow paint = 1 yellow paint

3/4 quarts of Yellow paint = 3/4 quarts of purple paint

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A container holds 4 gallons of juice how much is this in pints ​
Sladkaya [172]

32 pints is the answer to this question

4 0
3 years ago
The perimeter of a rectangle is 30.8 km and it’s diagonal length is 11 km. Find it’s length and width
blsea [12.9K]

Answer:

Length of the rectangle is 15.0325 km and width is 0.3765 km.

Explanation:

Given:

Perimeter of a rectangle = 30.8 km

Length of diagonal of rectangle = 11 km

To find:

The length and width of rectangle=?

Solution:

Lets assume length of the rectangle = x km

And assume width of the rectangle = y km

Lets first create equation using given  perimeter

perimeter of rectangle = 2 ( length +  width )

=> 30.8 km = 2 ( x + y )  

=>x + y = \frac{30.8}{2}

=> y = 15.4 – x             ------(1)

As diagonal and two sides of rectangle forms right angle triangle whose hypoteneus is diagonal ,  

=> length^2 + width^2 = diagonal^2

=> x^2 + y^2 = 11^2

=> x^2 + y^2 = 121

On substituting value of y from (1) in above equation we get

=> x^2 + (15.4-x)^2 = 121

=>x^2 + (15.4)^2 + x^2 – 2 x 15.4 \times x   = 121

=> 2x^2-30.8x + 237.16 -121  = 0

=> 2x^2-30.8x + 116.16 = 0

Solving above quadratic equation using quadratic formula

General form of quadratic equation is  

ax^2 +bx +c = 0

And quadratic formula for getting roots of quadratic equation is  

x= \frac{ -b\pm\sqrt{(b^2-4ac)}}{2a}

As equation is 2x^2-30.8x + 116.16 = 0, in our case

a = 2 ,  b = -30.8 and c = 116.16

Calculating roots of the equation we get

x=\frac{ -(-30.8)\pm\sqrt{(-30.8)^2-4(2)( 11)} } {(2\times2)}

x=\frac{30.8\pm\sqrt{(948.64-88)}}{4}

x=\frac{30.8\pm\sqrt{860.64}}{4}

x=\frac{30.8\pm\sqrt{860.64}}{4}

x=\frac{(30.8\pm29.33)}4

x=\frac{(30.8+29.33)}{4}

x=\frac{(30.8-29.33)}{4}

=> x = 15.0325 or x = 0.3675

As generally length is longer one ,  

So x = 1.0325

From equation (1) y = 15.4 – x = 0.3765

Hence length of the rectangle is 15.0325 km and width is 0.3765 km.

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3 years ago
10/22 in simplest form math
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10/22 in simplest form is 5/11
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KonstantinChe [14]

Answer:

2160

Step-by-step explanation:

because c is 15 and d is 12 therefore d² is 144 and 144x15 is 2160

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Please help I’ll mark you as brainliest if correct !
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Answer: 9

Step-by-step explanation:

All but 9 get mushed means that 9 don't get destroyed.

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