Answer:
b. 80
Step-by-step explanation:
Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The equation of the given line is
7x+4y=3
4y = - 7x + 3
y = -7x/4 + 3/4
Comparing with the slope intercept form, slope = -7/4
If the line passing through the given point is perpendicular to the given line, it means that its slope is the negative reciprocal of the slope of the given line.
Therefore, the slope of the line passing through (6,-9) is 4/7
To determine the intercept, we would substitute m = 4/7, x = 6 and y = -9 into y = mx + c. It becomes
- 9 = 4/7×6 + c = 24/7 + c
c = - 9 - 24/7 = -87/7
The equation becomes
y = 4x/7 - 87/7
$250 c+ $ 180 g > $ 950
<u>Step-by-step explanation:</u>
As a cryptographer (c), Miyoko earns per day = $ 250
As a geologist (g) , Miyoko earns per day = $ 180
So the equation comes to be $250 c+ $ 180 g = $ 950
The equation can be rewritten to find c as, (950-180 g) / 250
The equation can be rewritten to find g as, (950 - 250 c) / 180
Plugin different values of c and g in the above 2 equations, we can find that ,
To achieve the goal, Miyoko requires to be a geologist for 3 days and crpytographist for 2 days.
Answer:
144 children and 170 adults
Step-by-step explanation:
make 2 equations
make :
the children as the regarded as the variable : x
the adults are the regarded as the variable : y
<em>5x + 6 y = 1740</em>
<em>x + y = 314</em>
<h3><u>solve this by the method of elimination </u></h3>
5x + 6y = 1740
5(x + y = 314)
= 5x + 5y = 1570
5x + 6y = 1740
5x + 5y = 1570
the 5x is cancelled out
6y - 5y = 1740 - 1570
y = 170
now replace the value of y in the eqaution
5x + 6 (170) = 1740
5x =720
x = 144
hence they were 144 children and 170 adults
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Find the diameter then multiply by pi
