Answer:
112.5 mL
Step-by-step explanation:
Let x represent the amount of grape juice to add. Then the total amount of grape juice in the mix is ...
0.15(1800) +x = 0.20(1800+x)
270 +x = 360 + 0.2x . . . . . . eliminate parentheses
0.8x = 90 . . . . . . . . . . . . . . . subtract 270+0.2x
x = 90/0.8 = 112.5 . . . . . . . . divide by the coefficient of x
112 mL of grape juice should be added to make a mix that is 20% grape juice.
3/8 because you find the common denominator
8: 8,16,24,32
2: 2,4,6,8
1/2=4/8
7/8-4/8
So the answer is 3/8
You can try to find the denominator and then change the denominator+numerator.
The inequality that describes this graph of the number line is x ≥ 4
<h3>How to determine the inequality that describes this graph?</h3>
From the question, we have the following properties:
- The graph is a number line
- The number line extends at both ends
- The number line starts from less than -5 and ends at greater than 5
- There is a heavy arrow that extends from a circle over positive 4 to the right.
The property 3 above implies that the domain of the number line is the set of all real numbers.
The property 4 above implies that the inequality of the number line is a greater than or equal to inequality, and the value starts from 4
This is represented by the following inequality
x ≥ 4
Hence, the inequality that describes this graph of the number line is x ≥ 4
Read more about number line at
brainly.com/question/24644930
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Answer:
The distance between the hands is √(3)cm ≈ 1.73cm.
Step-by-step explanation:
In a standard clock, the angle between every number is 30°, therefore the angle between 12 and 2 will be 30° x 2 = 60°.
Looking at the diagram, to find c we can make use of our cosine formula
c² = a² + b² –2abCos(C°)
a = 2, b = 1 and C° = 60°
Therefore we have:
c² = 2² + 1² –2 x 2 x 1 x cos(60°) =
c² = 4 + 1 – 4 x 0.5 =
c² = 5 – 2 =
c² = 3
c = √(3) ≈ 1.73
Therefore, the distance between the hands is √(3)cm ≈ 1.73cm.
Step-by-step explanation:
(i) From the graph value of x varies -3 to 3 i.e.
and domain in the input values which function can take
So, option (d) is correct.
(ii) option (d) is correct as it represent the function 
. While all the other function does not satisfy the given conditions.
(iii) 
are the parts of solution pair.
(iv) Option (c) and (d) represents the function as each element of the first set has a unique image in the second set.
