Andrew was taking a math quiz. There was a question on the quiz that had the
expression 8x – 9 – 12x + 5. Andrew's teacher told the class there was a typo
and the expression was supposed to have one set of parentheses in it.
-
1. Where could you put parentheses in 8x – 9 – 12x + 5 to make a new
expression that is still equivalent to the original expression? How do you know
that your new expression is equivalent?
2.
-
Where could you put parentheses in 8x - 9 - 12x + 5 to make a new
expression that is not equivalent to the original expression? List as many
different answers as you can.

Answer:

On average, 2 out of 10 adults visited the museum most frequently

Step-by-step explanation:

Answer:

About 5 meters

Step-by-step explanation:

v= πr² h/3

r= √3 v/πh= 3•314/ π•12= 4.99873 rounded which then rounds to 5

System of equations helps to solve real-life problems. The system of equations will not have no solution.

Inconsistent System

A system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

A system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.

The two of the system of equations given to us are,

[tex]y+x=19-x^2[/tex]

[tex]x+y = 80[/tex]

Now,

1. The first step is to isolate one variable in the system of equations,

[tex]y=19-x^2-x[/tex]

[tex]y=80-x[/tex]

2. The second step is to substitution to create a one-variable equation.

[tex]80-x=19-x^2-x\\x^2-x+x=19-80\\x^2 = -61[/tex]

Now, since the value of x  is the negative square root. therefore, the system of equations will not have a real number of solutions.

If we plot the two equations on the graph, then the line of the system of equations will not intersect any point, therefore, the system of equations will have no solution.

Hence, the system of equations will not have no solution.

Learn more about the System of the equation:

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Answer:

0 solutions

Step-by-step explanation:

Edge 2022

Answer:

.5

Step-by-step explanation:

The probability that a normal random variable is less than its mean is .5

Answer:

40

Step-by-step explanation:

The formula is: a² + b² = c²

Looking at the picture, 41 is the hypotenuse of the triangle. We can now solve.

9² + b² = 41²

Which the answer is 40.

Answer:

A, C, and D, are correct

Step-by-step explanation:

We can find the answer to each of these by simply doing the math for each one

[tex]3*\sqrt{2} = 4.24\\\frac{1}{2} *\sqrt{68} = 4.123\\\sqrt{17} = 4.123[/tex]

Answer:

A, C, and D

Step-by-step explanation:

A is 4.24

B is 3.54

C is 4.12

D is 4.12

E is 5.29

Answer:

grafic 2

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

3x1+2=5

Answer:

I'm assuming you're trying to find x.

In this problem, x = 1

Step-by-step explanation:

3x + 2 = 5

    -2     -2    Subtract 2 from each side

3x = 3

3x/3 = 3/3    Divide each side by 3

x = 1

Answer:

3mx3Li+2x2+2x→0

Step-by-step explanation:

[tex]\lim_{x \to0} 3x^3 +2x^2+x+1=3(0)^3+2(0)^2+0+1= 1[/tex]

Hope that helps!

geometric sequence

[tex]\tt U_n=ar^{n-1}[/tex]

a = 6 = first term

r = ratio = [tex]\tt \dfrac{9}{6}[/tex]

the 6th term (n=6)

[tex]\tt U_6=6\times (\dfrac{9}{6})^{6-1}\\\\U_6=6\times \dfrac{9}{6}^5\\\\U_6=\dfrac{9^5}{6^4}=45.5625\rightarrow rounded~to nearest~thousandth=45.563[/tex]

Answer:

$12,400

Step-by-step explanation:

$300 x 48 = $14,400

$14,400 - $2000(down payment) = $12,400

Answer:

Step-by-step explanation:

=> 35 + 2x = 60

=> 2x = 60-35

=> 2x = 25

=> x = 25/2

=> x = 12.5

The height of the baseball after the 1.5 seconds of time as the boy throw the ball is 15.5 meters.

The mathematical functions is used to represent the general problem in the mathematical way to solve them.

Steps to write down the simple mathematical function-

A boy throws a baseball across a field. The ball reaches its maximum height, 18 meters, after 1 second.

After approximately 2.3 seconds, the ball lands on the ground.

The ball’s motion can be modeled using the function

[tex]f(x) = -10x^2 +20x+ 8[/tex]

Here, x represents the time in seconds.

As, the height of the ball 1.5 seconds after it is thrown has to be found out. Thus, put the values of in the above equation as,

[tex]f(x) = -10(1.5)^2 +20(1.5)+ 8\\f(x)=-22.5+30+8\\f(x)=15.5\rm \; m[/tex]

Hence, the height of the baseball after the 1.5 seconds of time as the boy throw the ball is 15.5 meters.

Learn more about the modeling the mathematical function here;

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The computation of the angle given simply shows that the value of angle x is 109°.

From the information given, it can be noted that two numbers are given and there's a subtraction sign between the numbers given.

Therefore, in this scenario, one simply just has to subtract the numbers. Therefore, thus goes thus:

x = 304 - 115

x = 189

The value of x is 189°.

Learn more about angles on:

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A) x=6

B) 50

Step-by-step explanation:

[tex]8x + 2 + 70 + 60 = 180[/tex]

[tex]8x = 180 - 132[/tex]

[tex]8x = 48[/tex]

[tex]x = 6[/tex]

~

[tex] \angle \: b = 8x + 2[/tex]

[tex]8(6) + 2[/tex]

[tex]50[/tex]

[tex] \angle \: b = 50[/tex]

~

Answer:

x = 1.28t^2 > 5.5

Answer:

[tex]t\le \:7.04[/tex]

Step-by-step explanation:

[tex]1.28\ge \cfrac{t}{5.5}\:(\bold{Switch \: sides})[/tex]

[tex]\cfrac{t}{5.5}\le \:1.28[/tex]

[tex]\cfrac{5.5t}{5.5}\le \:1.28\cdot \:5.5\:(\bold{ Multiply\: both\:sides\:by\: 5.5})[/tex]

[tex]t\le \:7.04[/tex]

~

Answer:

65°

step-by-step explanation:

solve for x:

116x - 1 = 114x + 1

116x - 114x = 1 + 1

2x = 2

x = 1

Find angle C:

m∠C + 116(1) - 1 = 180°

m∠C = 180° - 115

m∠C = 65°

Solution:

We know that:

This means that:

Step-1: Find the value of x.

[tex]116x - 1 = 114x + 1[/tex]

[tex]\rightarrow 116x - 114x = 1 + 1[/tex]

[tex]\rightarrow 2x = 2[/tex]

[tex]\rightarrow \bold{x = 1}[/tex]

Step-2: Solve for ∠C.

[tex](116x - 1) + (114x + 1) + \angle C + \angle C = 360\°[/tex]

[tex]\rightarrow (116x - 1) + (114x + 1) + \angle C + \angle E = 360\°[/tex]                           [∠C = ∠E]

[tex]\rightarrow 116x - 1 + 114x + 1 + 2\angle C = 360\°[/tex]                                  

[tex]\rightarrow 230x + 2\angle C = 360\°[/tex]                                        

[tex]\rightarrow 230(1) + 2\angle C = 360\°[/tex]                                                                 [x = 1]

[tex]\rightarrow 230 + 2\angle C = 360\°[/tex]                                                                          

[tex]\rightarrow 2\angle C = 360 - 230[/tex]

[tex]\rightarrow 2\angle C = 130[/tex]

[tex]\rightarrow \boxed{\bold{\angle C = \frac{130}{2} = 65\°}}[/tex]                                                      

Answer:

17 1/3

Step-by-step explanation:

12 1/3+ 5 1/3=17 2/3

7 4/8- 7 1/6=1/3

17 2/3-1/3= 156/9  Simplest form=17 1/3

Hope that helped.

Answer:

$28.50

Step-by-step explanation:

21 chicken wings= $39.90

1 chicken wing= 39.90÷21= $1.90

15 chicken wings= 15×1.90= $28.50

:)

Answer:

$28.50

Step-by-step explanation:

Knowing that :
Brandon brought 21 chicken wings for $39.90

Asking:

How much would it cost for 15 Wings?

Solve:

We first need to know how much is 1 Wings.

To find that Divide Cost by chicken

Thus, 39.90 divide by 21..

=1.90

Hence, 1 Wings ⇒ 1.90

Then Multiply by 15 wings to find the cost of 15 wings.

1.90 * 15 = 28.50

Therefore, 15 Wings Cost $28.50

[RevyBreeze]

Answer:

30

Step-by-step explanation:

do 50 divided by 10 wich is 5 so ever 5 is 10 percent so the do 5 times 6 to get 30!

Answer: C. [tex]f(n) = -4(-3)^{n-1}[/tex]

Step-by-step explanation: The formula for a geometric sequence is [tex]ar^{n-1}[/tex], where a = first term in the sequence

r = common ratio

n = position of term

Here they already told us a = -4, so we have to figure out r. We can see that in the sequence -4, 12, -36, 108... the terms are being multiplied by -3, which is why the negative and positive terms alternate.

Therefore, the formula is: [tex]f(n) = -4(-3)^{n-1}[/tex]

You can try inserting n to check it.

[tex]f(1) = -4(-3)^{1-1} = -4\\f(2) = -4(-3)^{2-1} = 12\\f(3) = -4(-3)^{3-1} = -36\\f(4) = -4(-3)^{4-1} = 108[/tex]

Option C

Let's verify

Hence verified

Answer:

  a) r(b) = 75b

  b) c(b) = 30b +500

Step-by-step explanation:

Revenue is the product of the selling price per unit and the number of units. The cost will be the sum of fixed (overhead) cost and production cost per unit multiplied by the number of units produced.

__

Let b represent the number of skateboards Jesse produces in a month.

Jesse receives $75 for each skateboard sold. Her revenue from selling 'b' skateboards is ...

  r(b) = 75b

__

It costs Jesse $30 for each skateboard produced, and $500 for overhead. Her total cost is ...

  c(b) = 30b +500

_____

Additional comment

In order to break even, Jesse's revenue must equal her cost:

  75b = 30b +500

  45b = 500

  b = 11 1/9

Jesse must produce and sell 12 skateboards each month to cover her costs. (In a real business, there are additional considerations related to inventory, shrinkage, returns, discounts, and other things that may increase cost or reduce revenue.) After covering costs, each additional skateboard sold will give Jesse a profit of $45.

Answer:

need points lol

Step-by-step explanation:

Answer:

Solving steps:

18) 16a²b - 8abc + 4ab²c²

=> 4ab(4a - 2c + bc²)

19) 3x³ + 3x² - 3x

=> 3x(x² + x - 1)

20) 2abx² + 3abx³ - 4abx[tex] {}^{4} [/tex]

=> abx²(2 + 3x - 4x²)

The value of ac is 36 and the value of b is 13. Then the value of ac + b is 49. The two numbers are 4 and 9.

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Consider the trinomial 6x² + 13x + 6.

Compare with the standard equation, we have

ax² + bx + c

Then we have

a = 6

b = 13

c = 6

The product of ac will be

ac = 6 × 6 = 36

The sum of ac and b will be

ac + b = 36 + 13 = 49

The two numbers that have a product of ac and a sum of b are 4 and 9.

More about the polynomial link is given below.

https://brainly.com/question/17822016

Answer:

36,13,9

Step-by-step explanation:

Just took the test 2022

Answer:

KL = 3.4

Step-by-step explanation:

[tex]\frac{LI}{HE} =\frac{KL}{HG}[/tex]

[tex]\frac{5}{16} =\frac{KL}{11}[/tex]

[tex]KL=11(\frac{5}{16} )=55/16=3.4375[/tex]

Hope this helps

Answer:

36.23

Step-by-step explanation:

Finding the radius of a cone with volume given =

3V / πh, π = 22/7 =  3.14

3 x 376.8 / π x h  =  1130. 4 / π x 10

1130.4 / 3.14 x 10 = 1130.4 x 31.42 = 36.23