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ale4655 [162]
3 years ago
13

Find the variable x.

Mathematics
1 answer:
grandymaker [24]3 years ago
5 0

Answer:

x = 7

Step-by-step explanation:

The inscribed angle (5x - 3) is equal to half the measure of the intercepted arc

5x - 3 = 0.5(9x + 1) ← multiply both sides by 2

10x - 6 = 9x + 1 ( subtract 9x from both sides )

x - 6 = 1 ( add 6 to both sides )

x = 7

You might be interested in
Suppose total benefits and total costs are given by b(y) = 100y − 8y2 and c(y) = 10y2. what is the maximum level of net benefits
olga nikolaevna [1]
Whenever you face the problem that deals with maxima or minima you should keep in mind that minima/maxima of a function is always a point where it's derivative is equal to zero.
To solve your problem we first need to find an equation of net benefits. Net benefits are expressed as a difference between total benefits and total cost. We can denote this function with B(y).

B(y)=b-c
B(y)=100y-18y²

Now that we have a net benefits function we need find it's derivate with respect to y.

\frac{dB(y)}{dy} =100-36y

Now we must find at which point this function is equal to zero.

0=100-36y
36y=100
y=2.8

Now that we know at which point our function reaches maxima we just plug that number back into our equation for net benefits and we get our answer.

B(2.8)=100(2.8)-18(2.8)²=138.88≈139.

One thing that always helps is to have your function graphed. It will give you a good insight into how your function behaves and allow you to identify minima/maxima points.


3 0
3 years ago
The picture Will pop up when you click on question
fiasKO [112]

Answer:

see below

Step-by-step explanation:

1. 10/16=5/6

2.14/63=2/9

3.6/14= 3/7

4.6/24= 1/3

5.7/70=1/10

6.5/10=1/2

7. 9/27= 1/3

8.6/72=1/12

9.6/27=1/3

10. 14/35= 2/5

11.12/24= 1/2

12.5/40=1/8

13.36/40=9/10

14.28/35=4/5

8 0
3 years ago
How many students in the marching band are girls
Hoochie [10]

Answer:

Hello,

If 7/10 boys represent 28 boys so, 3/10 girls ? how many girls ?

cross product

7/10 > 28

3/10 > ?

3/10*28/(7/10)=12

There are 12 girls


Step-by-step explanation:


3 0
3 years ago
Marita orders 12 yards of material to make banners if she needs one foot of fabric for each Banner how many banners can she make
AleksandrR [38]
36 banners 12 yards=36Ft
3 0
3 years ago
Read 2 more answers
Solve this system of linear equations.separate the x- and y-value with a comma. -6x=-4-y -7x=-22+y.
scZoUnD [109]

Answer:

(2,8)

Step-by-step explanation:

Add them together to get rid of the y.

-6x = -4 - y

-7x = -22 + y

=

-13x = -26

Then solve for x.

-13x/-13 = -26/-13

x = 2

Now plug in the x value into either equation and solve for y.

-7(2) = -22 + y

-14 = -22 + y

-14 + 22 = -22 + 22 + y

8 = y

So...

x = 2

y = 8

(2,8)

8 0
3 years ago
Read 2 more answers
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