What is the value of x in the equation 2(x−3)+9=3(x+1)+x?
a. x = −3
b. x = −1
c. x = 0
d. x = 3

Answer:

x = 8

Step-by-step explanation:

Hi there!

We're given that OB is the angle bisector of angle AOC.

An angle bisector splits an angle into 2 equal halves. Therefore, angles AOB and BOC are equal.

We're given that angle AOB is 8x degrees and angle BOC is 16x-64 degrees.

Set up an equation:

[tex]8x=16x-64[/tex]

Combine like terms:

[tex]-8x=-64\\x=8[/tex]

Therefore, x = 8.

I hope this helps!

Answer:

53 divided by 3 would be $17.66

so 17.66 times 9 would be $158.94

Answer:

158.4 dollars

Step-by-step explanation:

so first of all the three tickets were 53 dollars so we divide the dollars and the no of tickets like this 53÷3 = 17.6 dollars

so since each ticket is 17.6 dollars now we know that Rosie wants to purchase 9 tickets so we will multiply the no of tickets by dollars per ticket like this

9×17.6= 158.4 dollars

and 158.4 is your answer

Answer:A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant manufacturing data are given in the table. (A) If the profit on a trick ski is $40$ and the profit on a slalom ski is $30,$ how many of each type of ski should be manufactured each day to realize a maximum profit? What is the maximum profit? (B) Discuss the effect on the production schedule and the maximum profit if the profit on a slalom ski decreases to $25$ and all other data remains the same. (C) Discuss the effect on the production schedule and the maximum profit if the profit on a slalom ski increases to $45$ and all other data remain the same.

Step-by-step explanation:

The optimal production plan for maximizing profit is to manufacture 48 slalom skis and 0 trick skis each day, resulting in a maximum profit of $2880.

Given data:

To solve this problem, we can use linear programming techniques to find the optimal number of trick skis and slalom skis that should be manufactured each day to maximize the profit.

x = number of trick skis

y = number of slalom skis

We need to maximize the profit function: P = 40x + 60y

Subject to the following constraints:

1x + 1y ≤ 336 (Fabricating department constraint)

1x + 1y ≤ 48 (Finishing department constraint)

x, y ≥ 0 (Non-negativity constraint)

We can graphically represent these constraints on a coordinate plane and find the feasible region, which is the region where all constraints are satisfied. Then, we can evaluate the profit function at the corner points of the feasible region to find the maximum profit.

After solving this system of linear inequalities, we find that the feasible region is a triangle with vertices at (0, 48), (0, 48), and (48, 48).

Evaluating the profit function at these vertices:

P(0, 48) = 40(0) + 60(48)

= $2880

P(0, 0) = 40(0) + 60(0)

= $0

P(48, 0) = 40(48) + 60(0)

= $1920

The maximum profit is $2880, which occurs when they produce 48 slalom skis and 0 trick skis.

Hence, the optimal production plan for maximizing profit is to manufacture 48 slalom skis and 0 trick skis each day, resulting in a maximum profit of $2880.

To learn more about linear programming, refer:

https://brainly.com/question/28579054

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Answer:

the factored form of 9x²-4 is (3x-2)(3x+2)

Answer:

1: 155

2: 222

3: 44

4: 132

5: 163

6: i dont know

7: 202

8:?

9: ?

hope this helped!

Step-by-step explanation:

1.)155

2.)222

3.)44

4.)132

5.)163

6.)93.92857142857142

7.)202

8.)112.9032258064516

9.)76.66666666666666

Sana po makatulong( ˘ ³˘)♥︎

Answer:

7.35

Step-by-step explanation:

4/7w=4.2

multiply both sides by 7

24/7w=29.4

simplify

4w=29.4

divide both sides by 4

w=7.35

Answer:

w equals 7.35

Step-by-step explanation:

7 times 4/7w = 4.2 times 7

4w = 29.4

Divide: 4w/4 = 29.4/4

w = 7.35

Answer:

area is 52

Step-by-step explanation:

Answer:

4/3 or 1 1/3

Step-by-step explanation:

So if y = 6, when x = 2/3. Then, x would equal 1 and 1/3, because 12 is twice the amount of 6, so you'd also multiply 2/3 by 2.

(To multiply a whole number by a fraction, first multiply the whole number by the numerator and then divide that by the denominator. For example: 2 × 2 = 4, since you can't really divide 4 by 3 it would stay as is, but you can turn it to a mixed number. 4/3 is the same as 1 whole and an extra 1/3, or in other words 1 1/3).

Hope this helped :)

Answer:

The slope of Function A is less than the slope of Function B.

Step-by-step explanation:

Using the slope formula:

m = (y2 - y1)/(x2 - x1)

and the following ordered pairs from Function A:

(x1, y1) = (-5, -3)

(x2, y2) = (-10, -8)

m = (y2 - y1)/(x2 - x1)

[tex]m = \frac{-8 - (-3)}{-10 - (-5)} = \frac{-8 +3}{-10+5} = \frac{-5}{-5} = 1[/tex]

Since Function A's slope = 1, and Function B's slope = 4, then it means that the slope of Function A is lesser than the slope of Function B.

Answer:2x-1

Step-by-step explanation:

Answer:

(2+3y=12) that is the simplify form

Answer:

h=57

Step-by-step explanation:

The triangles seem to have a pattern, which is that the numbers on the left are multiplied by 1.5 to get the numbers on the right. We figured this out by doing 42/28 and 54/36 (which are the corresponding numbers), which would both equal 1.5. Now to find h we would do the opposite of divide which is multiply, we would do 38*1.5 and get 57.

Answer:

y=4x+3

=)4x=y-3

=)x=(y-3)/4

Answer:

[tex]\frac{y - 3}{4}[/tex]

Step-by-step explanation:

To make x the subject, first, subtract 3 from both sides:

y = 4x + 3 → y - 3 = 4x

Next, divide both sides by 4 to get x on its own:

y - 3 = 4x → (y - 3)/4 = x

Hope this helps

Answer:

m = − 1/2

Step-by-step explanation:

Use the formula to calculate the slope of the line passing through the points.

slope = (y₂ - y₁) / (x₂ - x₁)

Input the values into the formula.

Subtract the values in parentheses.

Simplify the fraction to get the slope.

Answer: y = -1/2x +2

i cant see the pdf???????????????

The equation, y = 6/13x, represents a proportional relationship.

Given, y = 6/13x:

constant of proportionality is 6/13.

Therefore, the equation, y = 6/13x, represents a proportional relationship.

Learn more about proportional relationship on:

https://brainly.com/question/3202565

Answer:

3x = 33 in

Step-by-step explanation:

Answer:

here's the answer it's :

x=-28

y=-18

z=-16

Answer:

the third one

Step-by-step explanation:

The line passes through the point

We can solve for t by making it the subject of the equation.

since   I = Prt             [divide both sides by Pr]

Answer:

B) Alternate Exterior Angles

Step-by-step explanation:

They are exterior (on the outside of the the lines) and they are alternate (opposite left and right).

Answer:

Alternate exterior angles

Step-by-step explanation:

Alternate exterior angles are outside angles that lies to the opposite side.

Answer:

17/5

Step-by-step explanation:

put the value of pi in 2/3p+3

now,

[tex] \frac{2}{3} \times \frac{3}{5} + 3[/tex]

3 cancels 3 and

2/5 +3

=

[tex] \frac{2 + 3 \times 5}{5} [/tex]

hence your answer will be 17/5

Answer:

Step-by-step explanation:

Average rate of change is:

Find the values and substitute into expression:

Find the rate of change:

Correct choice is C

Answer:

m^2 + 11m - 11

Step-by-step explanation:

Step 1: Distribute.

Step 2: Combine like terms.

Therefore, the answer is [tex]m^2 + 11m - 11[/tex].

Answer:

[tex] \sin(2x) = 2 \sin(x) \cos(x) \\ 9( 2 \sin(x) \cos(x) ) \sin(x) = 9 \cos(x) \\ 18 { \sin}^{2} (x)9 \cos(x) - 9 \cos(x) = 0 \\ 9 \cos(x) (2{ \sin}^{2} (x) - 1) = 0 \\ 9 \cos(x) = 0 \: or \: 2{ \sin}^{2} (x) - 1 = 0 \\ \sin(x) = \pm \frac{1}{ \sqrt{2} } \\ \cos(x) = 0 \\ x = { \cos}^{ - 1} (0) \\ x = \frac{ \pi}{2} = 90 \degree \\ x = \frac{ \pi}{2} + 2\pi \: n \: \forall \: n \: \in \: \Z \\ = 90 \degree + 360\degree\: n \: \forall \: n \: \in \: \Z \\ = \pm\frac{ \pi}{4} \pm2\pi \: n \: \forall \: n \: \in \: \Z \\ x = \pm45\degree \pm 360\degree\: n \: \forall \: n \: \in \: \Z[/tex]

Answer:

0.2 or 1/5

Step-by-step explanation:

-4(50x - 20) = 10x + 15 + 23

-200x + 80 = 10x + 38

80 = 210x + 38

42 = 210x

0.2 = x

Hope this helps! Pls give brainliest!

Answer: x = 1/5 or 0.2

Step-by-step explanation:

-4(50x-20)=10x+15+23

-200x +80=10x+38

-80 -80

-200x=10x-42

-10x. -10x

-210x = -42

/-42. /-42

= 5

Answer:

x = √21, x = -√21