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castortr0y [4]
3 years ago
5

Gina mixed paint to make her favorite shade of purple.She filled one third of the container with red paint. Then she filled the

remaning space with 4liters of blue paint. How many mililitetrs of paint did Gina make

Mathematics
2 answers:
Solnce55 [7]3 years ago
7 0

Answer:

6000 milliliters

Step-by-step explanation:

First, we are told that she fills ⅓ of the container with red paint.

This means, the capacity of the container left is ⅔.

She fills the rest of the container (⅔ of the container) with blue paint of 4 liters.

This means that ⅔ of the entire container is 4 liters. We can use this information to find the total capacity of the container:

Let x be the capacity of the container in liters. Therefore:

⅔ of x = 4 liters

=> x = 4 * (3/2)

x = 12/2 = 6 liters

6 liters in milliliters is (6 * 1000) milliliters = 6000 milliliters.

Gina made 6000 milliliters of paint.

vovikov84 [41]3 years ago
3 0

Answer:

6000 milliliters

Step-by-step explanation:

Please refer to the attached image for explanations

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If tanA = 1/2 then evaluate cos A/sinA +sinA /1+cosA​
Deffense [45]

Answer:

√5.

Step-by-step explanation:

Tan A = 1/2 means that the right triangle containing angle A has legs of length 1 and 2 units. So the hypotenuse  = √(1^2 + 2^2) = √5  (using the Pythagoras theorem). The side opposite to < A = 1 unit and the adjacent side = 2 (as tan = opposite / adjacent).

so cos A =  adjacent / hypotenuse =   2/√5.

and sin A = opposite / hypotenuse = 1 / √5

cos A / sin A = 2/√5 /  1/ √5 =  2.

sin A / (1 + cos A) =  1/√5 (1 + 2/ √5)

=  1 / √5 ( (√5 + 2) /√5)

= 1 / (√5 + 2)

So the answer is:

2  +   1 /(√5 + 2).

We can simplify it further by multiplying top and bottom of the fraction by the complement of √5 + 2 which is √5 - 2.

2 + 1 / (√5 + 2)

= 2(√5 + 2) + 1 / (√5 + 2 )

= { 2(√5 + 2) + 1 } /  (√5 + 2)

Multiplying this by  √5 - 2 / √5 - 2 we get:

(2(5 - 4) + √5 - 2) /  (5 -4)

=  2 + √5 - 2 / 1

= √5.

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3 years ago
(5ab+2a-4) - (6ab-6)
marta [7]
<span>(5ab + 2a - 4) - (6ab - 6) = 2a - ab + 2
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Step-by-step explanation:

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