The ticket price for the hockey match was 14.50. The price has increased by 7%. How much is a ticket after the increase

x + 3 < 4x - 12                 or            4x - 12 < 20

-x         -x                                           +12  +12

     3 < 3x - 12                 or           4x        < 32

   +12       +12                               ÷4           ÷4  

    15 < 3x                       or              x        <  8

   ÷3    ÷3

    5 <  x

5 < x < 8

Graph:   5 o---------------o 8

Answer:

5<x<8

Step-by-step explanation:

x + 3 < (4x – 12) < 20

Solve the inequality

x + 3 < 4x – 12 < 20

We break the inequality

x+3<4x-12  and 4x-12<20

solve it separately

x+3<4x-12

subtract 4x on both sides

-3x +3< -12

subtract 3 on both sides

-3x < -15

divide by -3 on both sides

x> 5

4x-12<20

add 12 on both sides

4x <32

divide by 4

x<8

x>5  and x<8

so x lies between 5  and 8, 5<x<8

the graph is attached below

Subtract to find the difference:

2000 - 500 = 1500

Divide the difference by the original population:

1500 / 500 =  3

Multiply that by 100 to get the percentage:

3 x 100 = 300%

Consider triangle MOP. This triangle is right triangle, because  m∠P=90°.

Since  m∠P=90°, m∠M=60°, then m∠O=180°-90°-60°=30°.

The leg opposite to the angle with measure 30° is half of the hypotenuse. Let the leg MP=x, then the hypotenuse MO=2x. By the Pythagorean theorem,

[tex]PO^2+MP^2=MO^2\Rightarrow PO^2=(2x)^2-x^2=4x^2-x^2=3x^2\Rightarrow PO=\sqrt{3}x.[/tex]

The perimeter of triangle MOP is

[tex]P_{MOP}=MO+PO+MP=x+2x+\sqrt{3}x=3x+\sqrt{3}x.[/tex]

Since [tex]P_{MOP}=12+4\sqrt{3},[/tex] then [tex]x=4.[/tex]

Answer: MP=4 units.

Answer:

mp=4 cuz in a 30-60-90 degree right triangle if the shorter leg is x, then the longer leg (po) is xsqrt3. Because the perimeter is 12+4sqrt3, that means the longer leg is probably 4sqrt3. because of this, then the shorter leg, mp is 4. Since the hypotenuse is equal to 2x, then it would be 2*4=8=PO.

y = 1/3x

The slope is 1/3 ( the slope is the number with the variable x).

There is no other operation ( addition or subtraction) so the y- intercept is 0

The first point of the graph would be (0,0)

Calculate another point , lets use x = 3

y = 1/3(3) = 1

The second point is (3,1)

The line of the graph is an angled line which is located in quadrant 1 and 3.

See attached picture:

The mode of this set of numbers is 5.

The mode of a set of numbers, is the most common/frequent number within the set. Since there are two 5's but only one of each other number. Thus making 5 the mode.

ANSWER

[tex](25\times9)+(75\times9)=9(25+75)[/tex]

[tex](25\times9)+(75\times9)=9(100)[/tex]

[tex](25\times9)+(75\times9)=900[/tex]

EXPLANATION

According to the distributive property,

[tex](a\times b)+(a\times c)=a(b+c)[/tex]

This implies that,

[tex](25\times9)+(75\times9)=9(25+75)[/tex]

[tex](25\times9)+(75\times9)=9(100)[/tex]

The Right Hand Side of the equation now has 2 factors.

We solve now to obtain;

[tex](25\times9)+(75\times9)=900[/tex]

The distributive property allows you to factor out a common factor from both terms in an equation. In this case, you can rewrite the expression (25x9)+(75x9) using the distributive property as 9*(25+75), which simplifies to 9*100 or 900.

The distributive property in mathematics is a property where each term inside a bracket is multiplied by the term outside the bracket. We can use the distributive property to rewrite the given expression (25x9)+(75x9).

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2.  KL = LM

3.  Definition of midpoint

4.  L is the midpoint of KM

5. Transitive Property of Congruence

If Monique used a total of 6 1/2 pounds of potatoes and each batch required 3/4 of a pound of potatoes, then you have to divide the total amount of pounds by an amount of pounds needed for one batch:

[tex]6\dfrac{1}{2}:\dfrac{3}{4}=\dfrac{13}{2}\cdot \dfrac{4}{3} =\dfrac{26}{3}=8\dfrac{2}{3}.[/tex]

Answer: [tex]8\dfrac{2}{3}.[/tex]

Answer:

Step-by-step explanation:It’s B and E

Answer: A: Ford should leave the starting pitcher in the game.

I just used the other answer provided and it was wrong, at least on study island it was wrong.

Hi, the answer is this...

Otylia's solution is: Incorrect

Because 4y+y is the same as 4y+1y

4y2 is the same as 4y x y

4y+y simplifies to 5y

Answer:

Otylia's solution is incorrect

Correct solution is 5y

Step-by-step explanation:

Otylia simplifies the expression 4y + y to 4y^2.

LEts simplify the expression 4y+y and check with Otylia's solution

4y and y are like terms

y or 1y are same

4y and 1y are like terms

To combine like terms, we add only the coefficient of y

So 4y + 1y = 5y

Otylia simplifies the expression 4y + y to 4y^2

4y^2 is not correct. So Otylia's solution is incorrect

Answer:

9.8

Step-by-step explanation:

Answer:

Its A. 9.8 on APEX hope this helps!!

The first quartile Q1 shows a partition of the first 25% of the data. In the same way the quartile Q3 shows a partition of 75% of the data.

Then, the difference Q3-Q1, also called the interquartile range shows the central 50% of the data.

Therefore the answer is option C:

The percentage of Best Actress winners (among women) between Q1 = 28 and Q3 = 41 is 50%.

Answer: Option C

Step-by-step explanation: i Just Took The Test

ANSWER TO QUESTION 1

Given

[tex]f(x)=5x^3+8x^2-7x-6[/tex]

We can use the factor theorem to determine if

[tex]x+2[/tex] is a factor of the polynomial or not.

According to this theorem, if [tex]x+2[/tex] is a factor of [tex]f(x)[/tex], then [tex]f(-2)=0[/tex].

How did we get the [tex]-2[/tex]?

We set [tex]x+2=0[/tex] and then solve to obtain [tex]x=-2[/tex].

So now let us plug in [tex]x=-2[/tex] in to the function to see if it will simplify to zero.

[tex]f(-2)=5(-2)^3+8(-2)^2-7(-2)-6[/tex]

[tex]f(-2)=5(-8)+8(4)+7(2)-6[/tex]

[tex]f(-2)=-40+32+14-6[/tex]

[tex]f(-2)=6-6[/tex]

[tex]f(-2)=0[/tex]

Since the result simplifies to zero, we conclude that

[tex]x+2[/tex] is a factor of

[tex]f(x)=5x^3+8x^2-7x-6[/tex]

ANSWER TO QUESTION 2

We have the function,

[tex]f(x)=5x^3+8x^2-7x-6[/tex]

We can use the remainder theorem to show that

[tex]x+1[/tex] is NOT a factor of the polynomial.

According to this theorem, if [tex]x+1[/tex] is not a factor of [tex]f(x)[/tex], then [tex]f(-1)\ne 0[/tex].

So now let us plug in [tex]x=-1[/tex] in to the function to see if it will simplify to non-zero number.

[tex]f(-1)=5(-1)^3+8(-1)^2-7(-1)-6[/tex]

[tex]f(-1)=5(-1)+8(1)+7(1)-6[/tex]

[tex]f(-1)=-5+8+7-6[/tex]

[tex]f(-1)=4[/tex]

[tex]f(-1)\ne0[/tex]

Since the result simplifies to a non zero number, we conclude that

[tex]x+1[/tex] is NOT a factor of

[tex]f(x)=5x^3+8x^2-7x-6[/tex]

Proof:

Statement                                                   Reason

1. PV || QM                                                   Given

2. ∠1 is supplementary to ∠2                    Same-Side Interior Angles Theorem

3. m∠1 + m∠2 = 180°                                   Same-Side Interior Angle Theorem

4. ∠1 ≅ ∠3                                                   Given

5. m∠1 = m∠3                                              Definition of Congruent angles  => (If the angles are congruent, the measurements will be equal)

6. m∠3 + m∠2 = 180°                                Same side interior angle theorem (two angles on the same side make 180° if directly next to each other)

hope this helps

To prove that LT is parallel to MV, we can use the given information that angle 1 is congruent to angle 3. By showing congruence between triangles LTM and MVL, we can establish the proportionality of sides LT and MV, leading to the conclusion that LT is parallel to MV.

To prove that LT is parallel to MV, we need to use the given information that angle 1 is congruent to angle 3. Here's a step-by-step explanation:

Therefore, we have proved that LT is parallel to MV using the given information that angle 1 is congruent to angle 3.

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HE WOULD HAVE 64$ IN TOTAL

Answer:

-64

Step-by-step explanation:

its actually, -64 not 64.

Answer:

D. Commutative Property of Multiplication

Step-by-step explanation:

Commutative Property of Multiplication states that two numbers can be multiplied in either order.

For this case we have to:

By definition, the commutative property of the multiplication establishes that, the order of the factors does not alter the product, that is to say:

[tex]a * b = b * a\\[/tex]

Therefore the expression given by:

[tex]2*3 = 3*2[/tex] represents:

The commutative property of multiplication

Answer:

Option D

Answer:

its c

Step-by-step explanation:

If 60 is 2 more than the product of 5 and N:

The product of 5 and N is when they are multiplied, so 5N is going to be part of the equation.

We know that 60 is 2 more than 5N, so 5N + 2 would be 60.

We can make an equation with this:

60 = 2 + 5N

Therefore, the equation would be 60 = 2 + 5N.

Hope this helps! :)

The equation that can be used to depict the information 60 is 2 more than the product of 5 and N will be 60 = 2 + 5N

From the information given, 60 is 2 more than the product of 5 and N and this will be written as 60 = 2 + 5N.

To further solve the equation, we can solve for N and this will be:

60 = 2 + 5N

Collect like terms

5N = 60 - 2

5N = 58

N = 58/5

N = 11.6

Therefore, the value of N will be 11.6.

In conclusion, 60 is 2 more than the product of 5 and N and this will be written as 60 = 2 + 5N.

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The best graph that best fits your table is graph D.

For number 12, I don't see any graphs, but the graph would look like the graph I have below.

For number 11, A) y = 1/2x - 1 is correct. Here's the proof! (pic #2)

For number 10, the first graph is correct, here's the proof! (pic #3)

The cubic function with zeros -2, 5, and -6 is given by f(x) = (x + 2)(x - 5)(x + 6), derived from the zero-product property.

To find a cubic function with the given zeros of -2, 5, and -6, we can use a formula associated with the zero-product property. This property states that if a product of factors equals zero, then at least one of the factors has to be equal to zero. So if -2, 5, and -6 are the zeros of the function, the factors of the function would be (x + 2), (x - 5), and (x + 6).

The cubic function f(x) is then derived from the multiplication of these factors. Therefore the cubic function with the zeros -2, 5, and -6 will be f(x) = (x + 2)(x - 5)(x + 6).

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Answer:

Ratio of Cats to animals [tex]\frac{23}{50}[/tex]

Step-by-step explanation:

Total animals in the shelter = Total number of dogs + Total number of Cats

                                              =[tex]27+23[/tex]

                                              =[tex]50[/tex]

Ratio of Cats to animals        = Number of Cats / Total animals

                                               =[tex]\frac{23}{50}[/tex]

Given

During a promotional event  

A sporting goods store gave a free t-shrit to every 8th customer and a free water bottle to every 10th customer.

Find out which customer has the first to get a free t-shirt and a free water bottle.

To proof

Definition of LCM ( Least common multiple )

The LCM of two numbers is the smallest number that they both divide evenly into.

As given in the equation

A sporting goods store gave a free t-shrit to every 8th customer and a free water bottle to every 10th customer.

Let take 8 be as one number and 10 be as another number.

LCM ( 8,10 ) = 2× 2 ×2 ×5

= 40

Also  

A sporting goods store gave a free t-shrit to every 8th customer and a free water bottle to every 10th customer.

This is shown in the table given below.  

As shown in the table the common value is 40.

Therefore  

The first to get a free t-shirt and a free water bottle is 40th customer.

Hence proved

Answer:

The 40th customer was the first to get a free t-shirt and free water bottle

Step-by-step explanation:

I believe the answer is  -1/2.  

Based on the parallel lines, an angle that corresponds to ∠7 include the following: B. ∠3.

In Mathematics and Geometry, corresponding angles theorem is a theorem which states that corresponding angles are always congruent when the transversal intersects two parallel lines:

This ultimately implies that, the corresponding angles will be always equal (congruent) when a transversal intersects two parallel lines.

By applying corresponding angles theorem to the two parallel lines, we have the following congruent angles:

m∠3 ≅ m∠7

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Answer:

To construct the Square using a compass and straight edge, you have written the steps not in proper order. I am rearranging the steps for you

1. Construct horizontal ​ H J¯¯¯¯¯

2. ​Construct a circle with point H as the center and a circle with point J as a center with each circle having radius HJ .

3.Label the point of intersection of the two circles above​ ​ HJ¯¯¯¯¯ ​​, point K, and the point of intersection of the two circles below ​ HJ¯¯¯¯¯ ​, point L.

4.Construct KL¯¯¯¯¯ , the perpendicular bisector of ​ HJ¯¯¯¯¯ ​, intersecting​ ​ HJ¯¯¯¯¯ ​ ​​at point M.

5.Construct a circle with point M as the center with radius MJ .

6.Label the point of intersection of circle M and ​ KL¯¯¯¯¯ ​ closest to point K, point N, and the point of intersection of circle M and ​ KL¯¯¯¯¯ ​  closest to point L, point O.

7.Construct HN¯¯¯¯¯¯ , NJ¯¯¯¯¯ , JO¯¯¯¯¯ , and OH¯¯¯¯¯¯ to complete square HNJO .