Find the percent decrease.
Last year I sent out 120 invitations to a summer party
and this year I only sent out 90 invitations.

Answer:

Solutions given:

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

Taking L.C.M

[tex] \frac{15x + 4}{6} [/tex] is a right answer.

The formula for a directed line segment is A = (x2 - x1, y2 - y1). It is a vector equation, meaning that it describes the direction and magnitude of a line segment, rather than its endpoint coordinates.  

A directed line segment is a line segment with a starting point and an ending point, where the direction of the line can be described in terms of its magnitude and direction. To calculate the directed line segment, first calculate the difference between the x-coordinates of the start and end points, and then calculate the difference between the y-coordinates of the start and end points. The result is the vector A, which describes the magnitude and direction of the line segment.

For example, consider a line segment with start point (1, 2) and end point (4, 6). To calculate the directed line segment, first calculate the difference between the x-coordinates of the start and end points (4 - 1 = 3). Then, calculate the difference between the y-coordinates of the start and end points (6 - 2 = 4). The result is the vector A = (3, 4). This vector describes the magnitude and direction of the line segment, with the magnitude being the length of the line segment, and the direction being the direction from the start point to the end point.

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Answer:    15/10

Step-by-step explanation:

Answer:

15 cookies and 10 brownies

Step-by-step explanation:

Answer:

106 and 93

Step-by-step explanation:

The whole thing has to add up to 360

Answer:

Step-by-step explanation:

(-2,4)

(0,5)

(2,6)

(4,7)

Answer: 4, 5, 6, 7,

Step-by-step explanation: From the formula   y = x / 2 + 5

substitute x with the value -2

It becomes -2 / 2 + 5

that equals 4

then do the same for the rest

when x = 0

y = 0 / 2 + 5

y = 5

when x = 2

y = 2 / 2 + 5

y = 1 + 5

y = 6

when x = 4

y = 4 / 2 + 5

y = 2 + 5

y = 7

I hope this was helpful

Answer:

3/14

Step-by-step explanation:

prob for the 1st sock=4/8=1/2

prob for the 2nd sock=3/7(there's 7 socks left now and only 3 were white since she pulled one out and didn't put it back)

so the prob of both being white is 1/2*3/7=3/14

Answer:

Q1 - 5

Q3 - 12.75

Interquartile Range = 7.75

(i think)

Step-by-step explanation:

The second ordered pair using the terms in each sequence is B (6, 24).

The second rule says to subtract 4 from the second term of the ordered pair, starting from 28. So the second term of the second ordered pair would be 28-4 = 24.

Therefore, the second ordered pair using the terms in each sequence is B (6, 24).

This is because:

C (14,16) can be obtained by adding 4 to first term of B(6,24) which is 6+4 = 10 and subtracting 4 from second term of B(6,24) which is 24-4=20.

D (10,20) can be obtained by adding 4 to first term of C(14,16) which is 14+4 = 18 and subtracting 4 from second term of C(14,16) which is 16-4=12.

So the sequence list of ordered pair would be:

First order: A (2,28)

Second order: B(6,24)

Third order: C (14,16) D (10,20)

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Given:

The variable cost per unit is $3, fixed costs are $2.

The revenue function is:

[tex]Y_{TR}=5\sqrt{q}[/tex]

where q is the number of thousands of units of output produced.

To find:

The break - even points for company X.

Solution:

The variable cost per unit is $3, fixed costs are $2.

So, the cost function is:

Total cost = Fixed cost + Variable cost × Quantity

[tex]Y_{TC}=2+3q[/tex]

The revenue function is:

[tex]Y_{TR}=5\sqrt{q}[/tex]

At break - even points the profit is zero. It means the cost and revenue are equal.

[tex]Y_{TC}=Y_{TR}[/tex]

[tex]2+3q=5\sqrt{q}[/tex]

Squaring both sides, we get

[tex](2+3q)^2=(5\sqrt{q})^2[/tex]

[tex]2^2+2(2)(3q)+(3q)^2=25q[/tex]

[tex]4+12q+9q^2-25q=0[/tex]

[tex]4-13q+9q^2=0[/tex]

Splitting the middle term, we get

[tex]4-4q-9q+9q^2=0[/tex]

[tex]4(1-q)-9q(1+q)=0[/tex]

[tex](4-9q)(1-q)=0[/tex]

Using zero product property, we get

[tex]4-9q=0[/tex] and [tex]1-q=0[/tex]

[tex]q=\dfrac{4}{9}[/tex] and [tex]q=1[/tex]

[tex]q\approx 0.444[/tex] and [tex]q=1[/tex]

Therefore, the break even points are 0.444 and 1.

Mean distance for group A = 6.01 miles and for group B = 2.17 miles.

In statistics, the mean is the average of all data values given in a data set.

Mean is calculated by adding all the data value and then divided the sum by the total amount of data.

distance in miles for Group A       distance in miles for group B

         11.5                                                  2

          8                                                  

                                                                2.5

         9.2                                                3.23

         6.8                                                 1.3

          4.5                                                1.8

          4.8                                                2.4

         2.5                                                 3

         0.76                                               1.5

                                                                1.8

now mean value for group A = sum of data value/ number of data value

  mean distance = (11.5 + 8 +9.2 +6.8 +4.5+ 4.8+2.5+0.76) / 8

  mean distance for group A = 6.01 miles

mean distance for group B = (2+2.5+3.23+1.3+1.8+2.4+3+1.5+1.8)/ 9

 mean distance = 2.17 miles

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Answer:

7.737

Step-by-step explanation:

Answer:

The game ends at 2:17 PM.

Step-by-step explanation:

The basketball game started at 10 hours and 50 minutes and the game lasted 3 hours and 27 minutes. We can use addition to find out the time. Simply add the hours and the minutes.

10 hours + 3 hours = 13 hours

50 minutes + 27 minutes = 77 minutes = 1 hour and 17 minutes

⇒ 14 hours and 17 minutes ⇒ 2:17 PM

Answer:

Step-by-step explanation:

Answer: 322in 2

Step-by-step explanation:

1. Cut it in half

2. 8*21=168 (first half)

3. 11*14=154 (second piece)

4. Add 168 and 154, equals to 322in 2

Answer:

30

Step-by-step explanation:

Answer:

100kcal

10kcal

1kcal

Step-by-step explanation:

Each level you go up, you only get 10% of the total energy

Answer:

1.) m∠CEB = 90 degrees => The intersection is perpendicular

2.) m∠BCE = 40 degrees => 180 - (50 + 90)

3.) m∠ADE = 50 degrees => 180 - (40 + 90)

4.) DE = 6 ft => half of DB: 12/2

5.) CB = 10 ft => Using Pythagorean Theorem, solve:

                     =>  8² + 6² = CB²

                     =>  64 + 36 = CB²

                     =>  100 = CB²

                      => [tex]\sqrt{100}[/tex] = CB

                      => 10 = CB

Hope this helps!

Answer:

Step-by-step explanation:

I'm just adding the answer to 3. Give the other answerer the Brainliest.

Given a Rhombus, The diagonals bisect the angle that the diagonal is connect to

Therefore <ADE = 50 degrees, same as <CDE.

Answer:

X = - 2

John had solve the equation 4x+(-3)=-11, he said's his answer is x = 2.

Is he wrong or correct? If wrong plz show the steps on how to get the right answer.

Step-by-step explanation:

4x+(-3)= -11

-11 + 3

= -8

We got x by itself

now solve for x

4x = -8

Solution

X = -2

Answer:

1/5

Step-by-step explanation:

32^1/5 = 2

Answer:

5

Step-by-step explanation:

2x2x2x2x2 = 2⁵ = 32

Hope this helps :)

Answer:

LOOK BELOW: USE FORMULA WHL WIDTH X HEIGHT X LENGTH

Step-by-step explanation:

4 IN, 3IN, 6IN =72 IN CUBED

6IN, 3IN, 2IN= 36 IN CUBED

4IN, 5IN, 4IN= 80 IN CUBED

2IN, 9IN, 3IN= 54 IN CUBED

Answer: In order to calculate the value of 3h(2) + 4g(1), we would need to know the specific functions h(x) and g(x) that you are referring to. Without more information, it is not possible to determine the value of the expression.

Typically, piecewise functions are defined by several different expressions, each defined over a different interval of the input variable x. To evaluate a piecewise function at a specific value of x, we must first determine which interval that value of x falls into, and then use the corresponding expression for that interval to find the output value.

Are you able to provide the piecewise functions, or are you just using them as an example?

Also, in case if you want to describe the functions in words, please let me know.

Step-by-step explanation:

9514 1404 393

Answer:

  BC ≈ 5.87

Step-by-step explanation:

The law of sines is applicable.

  a/sin(A) = 7/sin(50°)

Angle A is the complement of angle B, so we have ...

  a = 7(sin(40°)/sin(50°))

  a ≈ 5.8736974

The length of BC is about 5.87 units.

"20" is the Pythagorean triplet of 12 and 16.

A set of three integers that can be the lengths of the sides of a right triangle is called a Pythagorean triple, it also defines the positive integers a,b, and c such that a right triangle exists with legs a,b, and hypotenuse c.

By the Pythagorean theorem, this is equivalent to finding positive integers a, b, and c satisfying  a²+b²=c²

The simplest Pythagorean triple is the set “3,4,5.”

Now, substitute the values in the above equation:

=) x² = 12² + 16²

=) x² = 144 + 256

=) x² = 400

=) x = √(400)

=) x = 20.

Therefore, (12,16,20) is a Pythagorean triplet.

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Answer:

( - 7, - 1, 1, 4 )

Step-by-step explanation:

( x, y )

where,

x is Domain

y is Range

Hence,

Domain is ( - 7, - 1, 1, 4 )

The area of the scale drawing is 108 square inches.

I know this because I divided 36 by 13 to get 3. Then I took 27/3 and got 9. So I knew that the scale drawing was 9 by 12 and so then I just multiplied 9 by 12 and got 108

Answer:

Graph C (third one down)

Step-by-step explanation:

The line of Graph C is going through closest to the middle, taking all points into account.

Answer:

m=4

Step-by-step explanation:

Answer:

m= 4

Step-by-step explanation:

i hope this helps :)