You are packaging expansion packs for the game of checkers. The table below lists the number
of each part needed per expansion pack, as well as the number of each part that you have
available.
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Answer:

Step-by-step explanation:

Factor numerator: x^2 + x - 12 = (x + 4)(x - 3)

Factor denominator: x^2 + 7x + 12 = (x + 3)(x + 4)

Notice that the numerator and denominator have a common factor (x + 4).

They can cancel.

What is left is (x - 3)/(x + 3)

Answer:

[tex]JP=5\sqrt{3}\ cm[/tex]

Step-by-step explanation:

Connecting points O and E and points O and J, we get triangle EOJ. This triangle is equilateral triangle, because OJ=OE=JE=r=10 cm.

Since EP⊥IJ, then segment JP is the height of the triangle EOJ.

The height of the equilateral triangle can be found using formula

[tex]h=\dfrac{a\sqrt{3}}{2},[/tex]

where a is the side length.

So,

[tex]h=\dfrac{10\sqrt{3}}{2}=5\sqrt{3}\ cm.[/tex]

Answer:

So i believe the answer is 2.

Step-by-step explanation:

The common denominator? Right? If so

2: 1 and 2

8: 1,8,2, and 4

14: 1,14,2, and 7

20:,1,20,2,10,4, and 5

26:1,26,13, and 2

Hope my answer has helped you!

Answer: When I converted it on a calculator it gave me 3/125 hope that is what you were looking for.

Step-by-step explanation:

Answer:3 over 125

plzz give brainliest i am 100% sure

Step-by-step explanation:

Steps to convert decimal into fraction

Write 0.024 as  

0.024

1

Multiply both numerator and denominator by 10 for every number after the decimal point

0.024 × 1000

1 × 1000

=  

24

1000

Reducing the fraction gives

3

125

Answer:

68°

Step-by-step explanation:

We know that sum of 3 angles in a triangle is 180°.

In  ΔBAC, there are angles B, A, and C. Thus we can say:

B + A + C = 180

Since, BC is tangent to circle, the point of tangency, B is a 90 degree angle. So angle B is 90.

Also, given angle CAB is 22, which, in other word, is angle A is 22.

Thus, we can write:

B + A + C = 180

90 + 22 + C = 180

112 + C = 180

C = 180 - 112 = 68

Measure of angle ACB = 68°

The measure of angle ACB is 68°.

We know that sum of 3 angles in a triangle is 180°.

In  ΔBAC, there are angles B, A, and C. Thus we can say:

B + A + C = 180

Since, BC is tangent to circle, the point of tangency, B is a 90 degree angle. So angle B is 90.

Also, given angle CAB is 22, which, in other word, is angle A is 22.

Thus, we can write:

B + A + C = 180

90 + 22 + C = 180

112 + C = 180

C = 180 - 112 = 68

Answer: meow 1. −6z + 13 = −11z − 7

2. 6 + 17z = 13z + 18

3. 4

5 k – 5 = –7 +

2

5 k

4. − 4

5 w +

1

4 =

1

5 +

1

3 w

5. 15(−42x + 40) = 15(−8x + 244)

6. 4 – 3

5 (3a + 4) = 7

7. 1

2 (15 + 7d) = − d

Step-by-step explanation:

Answer:

The amount of money David spent is $115.

Step-by-step explanation:

Consider the provided information.

David had $350. After shopping, he was left with $235.

Let the money spent by David is c.

As some money are spent from the total amount, So use a "-" sign and put the equation equals to 235, as this is the amount he left with.

The equation can be represented as:

350 - c = 235

Now simplify the above equation in order to find the money spent by David.

Isolate the variable by adding c and subtracting 235 from both sides.

350 - c + c -235 = 235 + c -235

115 =  c

Hence, the amount of money David spent is $115.

Answer:

0

Step-by-step explanation:

The disciminant [tex]\Delta[/tex] tells you how many real solutions a quadratic equation has, depending on its sign:

[tex]\Delta>0\implies\text{2 solutions}\\\Delta=0\implies\text{1 solution}\\\Delta<0\implies\text{no solutions}[/tex]

ANSWER

0

EXPLANATION

The discriminant of a quadratic equation in the form

[tex]a {x}^{2} + bx + c = 0[/tex]

is given by

[tex]D = {b}^{2} - 4ac[/tex]

The discriminant of a quadratic equation tells us the nature of the roots of that quadratic equation.

If the discriminant is negative, the equation has no real roots.

If the discriminant us positive, the equation has two real roots.

If the discriminant is zero, the equation has a repeated root.

Since the discriminant is -6, the equation has no real roots.

In other words, the number of real roots is 0.

Answer:

x=9

Step-by-step explanation:

we have been given the following proportion;

x/18 = 8.5/17

we are required to solve for x. In order to solve for x, we simply make x the subject on the left hand side . This can be done by multiplying both sides by 18;

(x/18)*18 = (8.5/17)*18

x = 153/17

x = 9

Answer:

9

Step-by-step explanation:

Answer:

(6,4)

Step-by-step explanation:

y = x-2

y =4

Set the two equations equal

x-2 =4

Add 2 to each side

x-2+2 = 4+2

x =6

Now we need to find y

y =4

(6,4)

Answer:

Step-by-step explanation:

For question 4, the top equation has an x and a y value in it. The second equation is just a y value. So put the 4 into the top equation.

4 = x - 2                   Add 2 to both sides

4 + 2 = x -2 + 2

6 = x

You can actually graph this to show that the solution set is (6,4) The solution set is marked (6,4).

The read line is y = x - 2

The blue line is y = 4

Answer:

18

Step-by-step explanation:

(3x)(3y)

= (3)(-2)(3)(-1)

= 18

Answer: The line represents a direct variation function.

Step-by-step explanation: Rest of them are not true. for 1 and 3, plug in the x and y value to the equation y=mx + b.

(x,y)

Answer:

D) >20% are in favor

Step-by-step explanation:

Process of elimination:

Not C, since the same number is undecided for each

Not A, since more people are undecided

Not B, since 60 students decided compared to 40 undecided

The answer is D, since 25/100 = 25% of students are in favor

Answer:

1) (-2)+3

-2+3

=1

2) (-14)+(-7)

-14-7

=-21

3) 3-(-8)

3+8

=11

4) (-9)+14

-9+14

=5

5) (-8)-(-2)

-8+2

=-6

6) 5+(-8)

5-8

=-3

7) (-27)-24

-27-24

=-51

8) (-41)+(-40)

-41-40

=-81

9) 38-(-17)

38+17

=55

10) (-44)+(-9)

-44-9

=-53

11) (-16)-(-36)

-16+36

=20

12) (-6)-24

-6-24

=-30

hope this helps :)

Answer:

10x

Step-by-step explanation:

5x(2)

When this is simplified, the answer is 10x

5x(2)

5x multiplied by 2 is 10x

The answer is 10x

This is because 5x is being multiplied by 2. We know this because parentheses are one of the several symbols of multiplication.

Even though 5 has an x attached to it you can just ignore it for now, multiply 2 to the 5 then just reattach the x at the end of your answer

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

[tex]\frac{1}{25}[/tex]

Step-by-step explanation:

note that (5x)³ = 5³x³ = 125x³

Hence

[tex]\frac{5x^3}{125x^3}[/tex]

Cancel the x³ on numerator/denominator and divide the 5 and 125 by 5

= [tex]\frac{1}{25}[/tex] ← in simplified form

Answer:

option A and B are correct.

Step-by-step explanation:

Given: [tex]p(t) = \frac{64}{1 + 11e^{-.08t} }[/tex]

Option A: [tex]\lim_{t \to \infty} \frac{64}{1 + 11e^{-.08(\infty)} }  = \frac{64}{1 + 0}  = 64[/tex]

Option A is true,

Option B: [tex]P(0) = \frac{64}{1 + 11}  = 5.33[/tex]

Option B is also true.

Option C:

[tex]P(t + 1) = \frac{64}{1 + 11e^{-.08(t + 1)} }  = \frac{64}{1 + 10.15e^{-.08t} } \\1.08 · P(t) = \frac{64 · 1.08 }{1 + 11e^{-.08t} }   = \frac{69.12}{1 + 11e^{-.08t} }[/tex]

P(t + 1) ≠ 1.08 · P(t)

Option C is incorrect.

Option D:  It is also incorrect, because according to option 2 earth's population will not grow exponentially without Bound.

Answer:

[tex]\sin 75\degree=\frac{\sqrt{2+\sqrt{3}}}{2}[/tex]

Step-by-step explanation:

The haf-angle formula is given by:

[tex]\sin \frac{1}{2}\theta =\sqrt{\frac{1-\cos \theta}{2} }[/tex]

[tex]\sin 75\degree=\sin \frac{1}{2}(150\degree)[/tex].

This implies that:

[tex]\sin \frac{1}{2}(150\degree) =\sqrt{\frac{1-\cos 150\degree}{2} }[/tex]

[tex]\sin \frac{1}{2}(150\degree) =\sqrt{\frac{1--\frac{\sqrt{3}}{2}}{2}}[/tex]

[tex]\sin \frac{1}{2}(150\degree) =\sqrt{\frac{2+\sqrt{3}}{4}}[/tex]

We simplify the square root to obtain:

[tex]\sin \frac{1}{2}(150\degree)=\frac{\sqrt{2+\sqrt{3}}}{2}[/tex]

Answer:

[A]    [tex]\frac{\sqrt{2 + \sqrt{3} } }{2}[/tex]

Answer:

Step-by-step explanation:

DDD

DDC

CDD

CCC

CCD

DCC

Answer:

1/48

Step-by-step explanation:

The probability of both happening is equal to the product of each probability.

P(A and B) = P(A) × P(B)

P = 1/12 × 1/4

P = 1/48

Answer:

i agree that the answer is 1/48

Step-by-step explanation:

Answer: odd

Step-by-step explanation:

A function is even if for any input value x and -x there is the same output value y. In other words, a function is even if:

[tex]f (-x) = f (x)[/tex]

A function is odd if it is true that:

[tex]f (-x) = -f (x)[/tex]

Then we must test if [tex]f(-x) = f(x)[/tex] for the function: [tex]f(x)=-2x - 5x[/tex]

[tex]f(-x)=-2(-x) - 5(-x)[/tex]

[tex]f(-x)=2x + 5x[/tex]

So [tex]f(-x) \neq f(x)[/tex]

The function is not even

Now we must test if [tex]f (-x) = -f (x)[/tex] for the function.

[tex]f(-x)=-2(-x) - 5(-x)[/tex]

[tex]f(-x)=2x + 5x[/tex]

[tex]f(-x)=-(-2x -5x)[/tex]  and  [tex]f(x)=-2x - 5x[/tex]

So [tex]f(-x) = -f(x)[/tex]  

Finally the function is odd

The difference between the ratio 5:3 is 2 ( 5-3 = 2)

Nick gets 2 extra shares which is equal to £26

1 share = 26 / 2 = 13

June gets 3 shares: 3 x 13 = £39

June gets 3 shares: 3 x 13 is equal to the $39.

Nick and June win some money and share it in the ratio of 5:3.

Nick gets $26 more than June.

The word difference is the result of subtracting one number from another.

The difference between the ratio of 5:3 is 2 ( 5-3 = 2)

Nick gets 2 extra shares which is equal to $26.

1 share = 26 / 2 = 13

June gets 3 shares: 3 x 13 is equal to the $39.

To learn more about the amount visit:

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Answer:

A

Step-by-step explanation:

y=4x+5

x=4y+5

4y+5=x

4y+5-5=x-5

4y=x-5

4y/4= x/4 - 5/4

y= x-5/4

To find the inverse of the function f(x) = 4x + 5, switch x and y in the equation, then solve for y to get the inverse function, which is f-1(x) = (x - 5) / 4.

To find the inverse of the function f(x) = 4x + 5, you would follow these steps:

This inverse function will satisfy the condition that f(f-1(x)) = x and f-1(f(x)) = x, which is the defining property of an inverse function.

Answer:

B.  4x + 1

Step-by-step explanation:

4x^2 + 21x + 5

= (4x + 1)(x + 5)

Factors of this trinomial are (4x + 1) and (x + 5)

Answer

(4x + 1)

Answer:

4x+1

Step-by-step explanation:

just toook the test

Answer:

The distance between any two corresponding points on ΔXYZ and ΔX'Y'Z′ is equal to [tex]5\ units[/tex]

Step-by-step explanation:

we know that

To find the distance, apply the Pythagoras Theorem

Let

x ----> the distance between any two corresponding points on ΔXYZ and ΔX'Y'Z′

[tex]x=\sqrt{4^{2}+3^{2}} \\ \\x=\sqrt{25}\ units\\ \\x=5\ units[/tex]

first, make an equation:

[tex] - 54 = - 3x - 12[/tex]

then, add twelve to both sides to remove it from the right:

[tex] - 42 = - 3x[/tex]

then just divide by (-3) to get the value of x:

[tex]x = 14[/tex]

The student's question involves setting up and solving a simple algebraic equation. By following the order of operations and isolating the variable, we find that the unknown number is 30.

To solve the problem stated, 'If you subtract 12 from my number and multiply the difference by -3 the result is -54', let's establish a variable to represent the unknown number. Let's call this number 'x'. According to the problem, we need to perform two operations on this number:

1. Subtract 12 from the number x. 2. Multiply the result by -3, which should result in -54.

This establishes the equation:

(x - 12) × -3 = -54

To find x, we'll follow these steps:

Divide both sides of the equation by -3 to isolate the term (x - 12): (x - 12) = -54 / -3 (x - 12) = 18

Add 12 to both sides of the equation to solve for x: x - 12 + 12 = 18 + 12 x = 30

Therefore, the number we're looking for is 30.

Answer:

(-4, -5) it gives the answer in the question

Step-by-step explanation:

That question is not a statistical question since there will be only one answer. If it were to be statistical it would have multiple answers an example of that type of question would be, Why did you decide to try out for the volleyball team? This is statistical because some could say they joined for fun, credits, to do something active, etc.. there would be multiple answers. Your question, How many students tried out for the volleyball team isn't statistical since it will have one answer such as, 26 students, 15 student, 2 students, etc...

Hope this helped!

The question about how many students tried out for a volleyball team relates to statistics. It involves collecting, analyzing, and interpreting numerical data. For example, the number of students trying out for the team can be used as statistical data.

The question 'How many students tried out for the volleyball team?' is one that relates to statistics. This is because it seeks to gather numerical data (in this case, the number of students) related to a specific event (trying out for the volleyball team). Therefore, the process of answering this question would involve collecting, analyzing, interpreting, presenting, or organizing this data.

For instance, let's say that 30 students tried out for the volleyball team. This count is a piece of statistical data which may be further used to compare with previous years, calculate percentages, or make projections for following years.

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Answer:

Solution x = - 1

Step-by-step explanation:

3 / (2x+1) = 9 / 3x

Cross multiply

3(3x) = 9(2x + 1)

Distributive property

9x = 18x + 9

Subtract 18x from both sides

-9x = 9

Divide both sides by -9

x = -1

Final answer:

To solve the inequality 14 - 3x < -1.14, subtract 14 from both sides, then divide by -3 and remember to reverse the inequality, resulting in the solution set x > -5.05.

Explanation:

To find the solution set of the inequality 14 - 3x < -1.14, follow these steps:

Therefore, the solution set for the inequality is all real numbers greater than -5.05.

Answer:

Step-by-step explanation:

[tex]\sum\limits_{k=2}^54k\\\\\text{Make a sum with components equal to 4k,}\\\text{ where k = 2, k = 3, k = 4 and k = 5}:\\\\4(2)=8\\4(3)=12\\4(4)=16\\4(5)=20\\\\8+12+16+20=56[/tex]