For A put 160 (division sign} 4.
For B put -40
Step-by-step explanation:
so the ratio of the recipe is 32/48 of pineapple juice and orange juice.
that can be simplified to the ratio of 2/3.
now, she has only 20 floz of pineapple juice.
20/x = 2/3
60/x = 2
60 = 2x
x = 60/2 = 30
she needs 30 floz of orange juice with the 20 floz of pineapple juice to maintain the prescribed ratio for fruit punch.
Answer:14
Step-by-step explanation:
The value of x in the given expression can be either -41 or 45. The correct option is B.
<h3>What is Absolute Value?</h3>
An absolute value of |x| {modulus of x} is the value of a real number x, the value we get is always a non-negative number, for example, |-5| will give 5, and also, |5| will give 5 as well.
Given the modulus function (1/5)|x - 4| - 3 = 6. Now, there will be two cases of this because the value of x can be either negative, x<0 or it can positive, x>0. Therefore, the given modulus function can be solved as shown below.
(1/5)(x-4) - 3 = 6
(x/5) - (4/5) - 3 = 6
(x - 4 - 15)/5 = 6
x - 4 -15 = 30
x = 30 + 15 + 4
x = 45
(1/5)(-x+4) - 3 = 6
(-x/5) + (4/5) - 3 = 6
(- x + 4 - 15)/5 = 6
- x + 4 -15 = 30
-x = 30 + 15 - 4
-x = 41
x = -41
Hence, the value of x in the given expression can be either -41 or 45.
Learn more about Absolute value here:
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Answer: The sides are increase by a factor of 3 and the angles remain the same.
When you are performing a dilation, you multiply the coordinates by 3. This will increase the length of all the sides by a factor of 3. However, the measures of the angles will remain the same. We call these similar figures.