If C is the midpoint of AB, find the value of x.

The expression to represent the net yardage is 30.5x+12.9y.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Given that, gain 25x yards, gain 0.9y yards lose 12y yards and lose 5.2x yards.

Now, net yardage

= 25x+0.9y+12y+5.5x

= 30.5x+12.9y

Therefore, the expression to represent the net yardage is 30.5x+12.9y.

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Answer:

x = -3 2/3

Step-by-step explanation:

Given the simultaneous equations;

3 x + 7 y = 31 ..... 1

-3x - 2y = -1 ..... 2

Add both expressions

7y - 2y = 31-1

5y = 30

y = 30/5

y = 6

Substitute y = 6 into equation 2

From 2;

-3x - 2y = -1

-3x - 2(6) = -1

-3x - 12 = -1

-3x  = -1  + 12

-3x  = 11

x = -11/3

x = -3 2/3

Hence the value of x is -3 2/3

Answer:

x = -3 2/3

Step-by-step explanation:

Answer:

f(-2), where f= -43/2

f(-1), where f= -16

f(0), where f has no solution

f(1), where f= 10

f(2), where f= 31/2

Answer:

AC=11.38 cm

Step-by-step explanation:

The Law of Cosines

It relates the length of the sides of a triangle with one of its internal angles.

Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:

[tex]c^2=a^2+b^2-2ab\cos x[/tex]

The figure shows two triangles and we are required to calculate the length of the side AC, knowing two sides and the angle between them. Thus, applying the formula:

[tex]AC^2=17^2+13^2-2*17*13*\cos42^\circ[/tex]

[tex]AC^2=289+169-442*0.7431[/tex]

[tex]AC^2=129.53[/tex]

[tex]AC=\sqrt{129.53}[/tex]

AC=11.38 cm

z=-3

Step-by-step explanation:

Answer:

z = -3

Step-by-step explanation:

10z + 3 = 9z

10z + 9z - 3

10z - 9z = -3

z = -3

Answer:

25 ft

Step-by-step explanation:

The path of the golf ball is given by the equation.

[tex]y=x-0.04x^2[/tex]

The point on the ground where the ball will land on the ground is the point where [tex]y=0[/tex].

[tex]x[/tex] is horizontal distance

So

[tex]0=x-0.04x^2\\\Rightarrow x(1-0.04x)=0\\\Rightarrow 1-0.04x=0\\\Rightarrow x=\dfrac{1}{0.04}\\\Rightarrow x=25[/tex]

So, the ball will land 25 ft away from the tee.

Answer:

A.

2d3 – 7d2 – 103d + 36

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

Total salary = $60,000

Step-by-step explanation:

Well I'm just going to make this short and easy... ok?

12,000=20%

20%x5 = 100%

hmmmm....

12,000 x 5 = ???

Answer = $60,000

Answer: He was given 50 for his birthday

Answer:

It's b

Step-by-step explanation:

This was the first answer I gave. So I am going with it.

Answer:

It takes all staff 3 hours

Step-by-step explanation:

So, first we write down all these important info. It takes half hour for staff to assemble one sixth (1/6) of the booths. First you need to take the fraction 1/6 a whole number by multiplying it by the denominator which in this case is 6 which will give you the answer 1. Next, you do the exact same thing for the other part. Multiply 1/2 by 6 to get 3.

The time to assemble the remaining fraction of the bottle is 3.5 hours.

The time taken for the staff to assemble one - eight (1/8) of the bottles is given as half (1/2) hour.

The remaining fraction of the bottle is calculated as follows;

[tex]= 1 - \frac{1}{8} \\\\= \frac{7}{8}[/tex]

The time to assemble the remaining fraction of the bottle is calculated as follows;

1/8 ----------------- 1/2 hour

7/8 ---------------- ?

[tex]\frac{7}{8} \times \frac{1}{2} \times \frac{8}{1} = 3.5 \ hours[/tex]

Learn more about time to complete work here: https://brainly.com/question/10929133

Step-by-step explanation:

12,0,-12

[tex]a1 = 12 \\ a2 = 0 \\ d = a2 - a1 \\ d = 0 - 12 = - 12 \\ an = a1 + (n - 1) \times d \\ \\ a87 = 12 + (87 - 1) \times ( - 12) \\ a87 = 12 - 1032[/tex]

Answer:

-6552

Step-by-step explanation:

First do 3+81 = 84 then 3-81 = -78. Then multiply them together to get -6552

Answer:

（3 + 81）（3-81）=9-6561

Stepby-step explanation:

Answer:

445,506

Step-by-step explanation:

math

Answer:

FOUR PLUS SIX TIMES A NUMBER IS TWELVE

Step-by-step explanation:

We have

Summer membership + $12 = 3(Weekend pass).

=> ($78) + ($12) = 3x

=> 3x = $90

=> x = $30.

Hence the weekend admission is $30.

Answer:

3x-12=78

Step-by-step explanation:

This is my thinking:

So because x is the cost of the weekend admission, the problem says 12 less than 3 times the cost of the weekend admission. The 3 times the cost of the weekend admission is the 3x, and the problem says 12 less than and that is the -12. And the whole equation is being taken from 78, so

3x-12=78.

Answer:

2

Step-by-step explanation:

when x=2, both lines have a y of -4

Answer:

Step-by-step explanation:

Slope of this line will be= m= (600-200)/(1-5)

m = 400/-4 = -100

Eq of line will be:

(y-y1)=m(x-x1)

y-200=-100(x-5)

y-200+100x-500=0

100x+y-700 = 0

To write equation in slope-intercept form

y=mx+c

just seperate "y"

y=-100x+700

Hey there!

The answer to your question is [tex]y = -100x + 500[/tex]

To write this equation in slope-intercept form, first we must figure out the slope. We can do this using the formula

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]:

[tex]\frac{200-600}{5-1}[/tex]

[tex]\frac{-400}{4}[/tex]

[tex]-100[/tex]

Now, we have part of the equation: y = -100x + b. We have to find b, and we can do so by plugging in one of the points into the equation, like so:

[tex]600 = -100(1) + b[/tex]

[tex]600 = -100 + b[/tex]

[tex]500 = b[/tex]

Now, we have our equation:[tex]y = -100x + 500[/tex]

Hope it helps and have an amazing day!

Answer:

10

Step-by-step explanation:

Answer

10

Step-by-step explanation:

Answer: C. ∠5 and ∠6

Step-by-step explanation:

They are linear pairs meaning they form a straight line.

Angles that form a straight line are ALWAYS supplementary (they add up to 180°)

Hope this helped!

Answer:

The constant term in the polynomial is 140 and it represents the revenue when the price is not increased.

Step-by-step explanation:

To find: What is the constant term in the polynomial expression, and what does it represent?

The given expression is [tex]-8x^2 + 54x + 140[/tex].

To find the constant term we can simply put x=0 in the given equation where x represents the number of $1 increase in price.

=[tex]-8(0)^2 + 54(0) + 140[/tex]

=[tex]140[/tex]

The constant term is 140 and it represents the revenue when the cost of a hot dog is $2.

Hence, the constant term in the polynomial is 140 and it represents the revenue when the price is not increased.

Answer:

the answer is the option B 35

Step-by-step explanation:

first, add 4 and 3. you will get 7. Next, multiply 7 by 5 and you will get the answer :35

[tex]5(3 + 4) \\ 5(7) \\ 35[/tex]

Answer:

2/3

Step-by-step explanation:

Answer:

7/10

Step-by-step explanation:

0.6 is a repeating decimal in this case, so you can round it to .7

From there, you simply put it over ten because you cant break seven down any more than that in a simple fraction.

Answer:

D.

Step-by-step explanation:

Because the sign is facing the number 26 It means 26 is greater so 2x-4 has to be smaller (less then or equal to 26)

Answer:

20

Step-by-step explanation:

Answer:

y°=70

Step-by-step explanation:

the angles inside a triangle must add up to 180 degrees, and thus the unknown interior angle is 180°-40°-30°=110°

this interior angle and the exterior angle are supplementary to each other and thus 110°+y°=180°

so y°=70°

you could also have used the theorem that states that the interior angles sum not adjacent to the exterior angle would equal the exterior angle

Answer:

(-2,8)

Step-by-step explanation:

8x + 9y=56

-9x + y = 26​

---------------------------------------------------------------------------------

-9x + y = 26​

    +9x = +9x

y = 9x + 26

---------------------------------------------------------------------------------

8x + 9(9x+26) = 56    <-- substitute for y from above

8x + 81x + 234 = 56

      89x + 234 = 56

               - 234 = - 234

                  89x = - 178

                      x = -2        <--- we got the x value!!

--------------------------------------------------------------------------------

-9x + y = 26​

-9 (-2) + y = 26    <-- substitute for x from above

18 + y = 26

   - 18 = - 18

      y = 8    <-- we got the y value!!