Answer:
y = 14.5
Step-by-step explanation:
given that y varies directly as x
mathematically,
y ∝ x
y = kx .............................................. where k is the constant of proportionality.
k = y /x
given that
y = 79
x = 49
k = 79/49
k = 1.61
to find y when x = 9
from
y = kx
y = 1.61 × 9
y = 14.5
therefore the value of y when x = 9 in ths variation is evaluated to be equals to 14.5
Answer:
30°
Step-by-step explanation:
<4=<2=30
(vertical opposite angles are equal)
The equation of the line in slope intercept form is y = - 1 / 2x + 4
<h3>How to write equation in slope intercept form?</h3>
The equation in slope intercept form is represented as follows:
y = mx + b
where
Therefore,
using the points (2, 3)(0, 4)
m = 4 - 3 / 0 - 2 = 1 / -2 = - 1 / 2
Hence,
b = 4
Therefore, the slope intercept equation of the line is as follows:
y = - 1 / 2x + 4
The y-intercept is value of y when x = 0
learn more on equation here: brainly.com/question/27806296
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Marcus has created a budget for his upcoming trip to the theme park. Admission is 40% of the budget. He plans to spend 32% of his money on food, 23% on souvenirs, and save 5% for emergencies. He knows the admission will be $6 less than he will spend on food and souvenirs. How much money will Marcus need to take to the park?
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