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SpyIntel [72]
3 years ago
15

What is the solution of the proportion? 6/a = 18/27

Mathematics
2 answers:
Marta_Voda [28]3 years ago
6 0

Answer:

a=9

Step-by-step explanation:

To solve this proportion, we have to get the variable, a, by itself.

First, cross multiply.

6/a=18/27

Multiply the denominator of the first fraction by the numerator of the second, and the numerator of the second by the denominator of the first.

a*18=6*27

18a=162

Now, 18 and a are being multiplied. In order to get a by itself, perform the opposite of what is being done. They are being multiplied, so the opposite would be division. Divide both sides by 18.

18a/18=162/18

a=162/18

a=9

So, the proportion, with 9 substituted in for a, will be:

6/9=18/27

patriot [66]3 years ago
5 0

The value of a is 9.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment..

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Some of your friends who are coming over for pizza prefer more of the edge crust. Which pizza the circular one or rectangular on
Svetradugi [14.3K]

Answer:

Circular one

Step-by-step explanation:

It really depends on how you cut it, but circles are just one big edge that's curved to meet up with itself.

Also, corners aren't edges and rectangles have corners.

Go with the circle one

6 0
2 years ago
Jane can type 150 words in 2 minutes. How many<br> words can she type in 5 minutes?
Masteriza [31]
I believe about 750 this is because of you multiply 150 and 5 you get your answer 750 because each 2 minutes she types is 150 and although you can find your average I just add the average 5 times this would be an easier way!!!
8 0
3 years ago
For f(x)=4sin(x2) between x=0 and x=3, find the coordinates of all intercepts, critical points, and inflection points to two dec
telo118 [61]

Answer:

Intercepts:

x = 0, y = 0

x = 1.77, y = 0

x = 2.51, y = 0

Critical points:

x = 1.25, y = 4

x = 2.17 , y = -4

x = 2.8, y = 4

Inflection points:

x = 0.81, y = 2.44

x = 1.81, y = -0.54

x = 2.52, y = 0.27

Step-by-step explanation:

We can find the intercept by setting f(x) = 0

4sin(x^2) = 0

sin(x^2) = 0

x^2 = n\pi where n = 0, 1, 2,3, 4, 5,...

x = \sqrt(n\pi)

Since we are restricting x between 0 and 3 we can stop at n = 2

So the function f(x) intercepts at y = 0 and x:

x = 0

x = 1.77

x = 2.51

The critical points occur at the first derivative = 0

f^{'}(x) = 4cos(x^2)2x = 8xcos(x^2) = 0

xcos(x^2) = 0

x = 0 or

cos(x^2) = 0

x^2 = \frac{\pi}{2} + n\pi where n = 0, 1, 2, 3

x = \sqrt{\pi(n+1/2)}

Since we are restricting x between 0 and 3 we can stop at n =  2

So our critical points are at

x = 1.25, y = f(1.25) = 4sin(1.25^2) = 4

x = 2.17 , y = f(2.17) = 4sin(2.17^2) = -4

x = 2.8, y = f(2.8) = 4sin(2.8^2) = 4

For the inflection point, we can take the 2nd derivative and set it to 0

f^[''}(x) = 8(cos(x^2) - xsin(x^2)2x) = 8cos(x^2) - 16x^2sin(x^2) = 0

cos(x^2) = 2x^2sin(x^2)

tan(x^2) = \frac{1}{2x^2}

We can solve this numerically to get the inflection points are at

x = 0.81, y = f(0.81) = 4sin(0.81^2) = 2.44

x = 1.81, y = f(1.81) = 4sin(1.81^2) = -0.54

x = 2.52, y = f(2.52) = 4sin(2.52^2) = 0.27

3 0
3 years ago
What does y equal in this problem 5y-3(2-y)=10
Pepsi [2]

Steps:

5y - 6 + 3y = 10

8y = 10 + 6

y = 16/8

y = 2

Hope this helps! :)

3 0
3 years ago
What is reciprocal of 3/10
algol13
To get  the reciprocal, simply flip the numerator and denominator. The reciprocal of 3/10 is 10/3.
7 0
4 years ago
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