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Sonja [21]
3 years ago
15

If f(x) varies directly with x and f(x) = 4 when x = 12, then what is the value of f(x) when x = 60?

Mathematics
1 answer:
ANTONII [103]3 years ago
6 0
ANSWER

f(60)=3\times60=180

EXPLANATION
We were given that
f(x)
varies directly as
x.

We can write this mathematically as,

f(x) \propto \: x.

This implies that,

f(x) = kx
where k is the constant of variation.

f(4)=4k

This implies that,

4k=12

k = 3

The equation becomes

f(x)=3x

When x=60

f(60)=3\times60=180
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A school has 63% percent girls and 37%, percent boys. If 23%, percent of the girls wears contacts and 42%, percent of the boys w
Degger [83]

Answer:

30% students

Step-by-step explanation:

Let x be the number of total students of a school.

63% are girls then total number of girls = (0.63)x

37% are boys then total number of boys = ( 0.37)x

Now 23% of girls wear contacts then total number of girls

= (0.63x) × 0.23

=  (0.1449x)

And 42% of boys wear contacts then total number of boys wearing contacts

= (0.37x) ( 0.42)

= (0.1554)x

Total students wears contacts = ( 0.1449x) + (0.1554x)

                                                  = (0.3003x)

Percentage of students wear contacts = \frac{\text{total students wear contacts}}{\text{total students in school}} × 100

= \frac{0.03003x}{x} × 100

= 30%

All 30% students wear contacts.

4 0
3 years ago
X÷40=25.5<br> What does x equal
wariber [46]

Answer:

1,020

Step-by-step explanation:

25.5 times 40 equals 1,020

4 0
3 years ago
What is the slope of a line perpendicular to 24x-9y=63
Gelneren [198K]
In order to find the slop it is probably best to put the equation in y=mx+b form. This means to get y by itself on one side. 
24x-9y=63 will then become -9y=63-24x in which y has been isolated.
Then you should divided by -9 to get the final form: y=24x/9 -63/9.
 Now you can get the slope of the perpendicular line by taking the slope of the original equation and finding its reciprocal which is -9/24x. This is your answer. 
3 0
2 years ago
-2(-5x+5) - 3x + 4= -34 solve for x
geniusboy [140]

Answer:

x = -4

Step-by-step explanation:

-2(-5x+5) - 3x + 4= -34

10x - 10 -3x + 4 = -34

7x - 6 = -34

<u>     +6    + 6</u>

7x = -28

x = -4

4 0
2 years ago
Read 2 more answers
Find the area???????
Naily [24]

It's obviously none of the above because the true area will have a square root of 3 in it because of the equilateral triangle. They want us to find the approximate area. When I was in school the difference between an approximation and the exact answer was greatly stressed but that seems to be fading of late.


That's a rectangle less an equilateral triangle. The area of an equilateral triangle is \dfrac{\sqrt{3}}{4} s^2 which is easily derived but I won't bother here.


A = 18(8) - \dfrac{\sqrt 3}{4} (8^2) = 144 - 16 \sqrt 3 \approx 116.3


Answer: b



6 0
3 years ago
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