ANSWER:
For the table on the left of the paper, the answer for 15 papers is 12 pencils and for 20 papers is 16 pencils.
For the table on the right of the paper, the answer for 24 marbles is 3 bags and for 32 marbles is 4 bags.
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Explanation:
The sum of the measures of the interior angles of a triangle is 180°. Then the sum of the given angles is 180°:
m∠P +m∠Q +m∠R = 180°
(5x)° +(5x)° +(8x)° = 180°
18x = 180 . . . . . . . . . . . . . . . collect terms, divide by °
x = 10 . . . . . . . . . . . . . . . . . . divide by 18. This is your desired result.
Answer:
slope: 1
/8
y-intercept: (
0
,
−
1
/4
)
10 less than 5 times the value of a number -> 5a - 10
10 times the quantity of 12 more than one-fourth of a number -> 10(12+1/4a)
We have :
5a - 10 = 10(12 + 1/4a)
5a - 10 - [10(12 + 1/4a)] = 0
5a - 10 - (120 + 5/2a) = 0
5a -10 - 120 - 5/2a = 0
Group : (5a-5/2a) - (10 + 120) = 0
5/2a - 130 = 0
5/2a = 130 -> a = 130 : 5/2 = 52
Recheck : 5 x 52 - 10 = 250
10 x (12 + 1/4 x 52) = 10 x (12 + 13) = 10 x 25 = 250
If you know the slope of a linear relationship as well as one of the points, you can determine if the relationship is proportional if the value of y is equal to the value of the slope times the x value.
<h3>When is a relationship proportional?</h3>
The linear relationship of x and y is said to be proportional if:
y = slope × x
This means that the value of y is directly related to the value of x such that when x is increased by a certain value, you get y.
If this condition is not satisfied then the relationship is not proportional.
The linear relationship above is therefore proportional if the value of y in the point is the same as x when multiplied by the slope.
Find out more on proportional relationships at brainly.com/question/3383226
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