A non-profit organization is having a couple’s fundraiser. The banquet hall will only hold 250 people. The President, Vice-president, two volunteers, and a guess speaker will be working the event. How many couples will be able to attend the banquet? (Pls help me solve the equation)

Answer:

  54

Step-by-step explanation:

The Pythagorean theorem applies.

  (x +36)^2 = 72^2 + x^2

  x^2 +72x +1296 = x^2 +5184

  72x = 3888 . . . . . . subtract x^2+1296

  x = 54 . . . . . . . . . . . divide by 72

Answer:

B

Step-by-step explanation:

all the other ones are either 50 - 12 or 50 + 12, but B is the total amount of money (x) minus 50($) is 12($).

not sure if that makes sense.

Answer:

Step-by-step explanation:

0.7 is a rational number.

Because it is a terminating decimal expansion.

Answer:

The decimal 0.7 is a rational number. It is read as seven tenths and is equivalent to the fraction 7/10. Since it can be written as a fraction

[tex]-5x-3=3x+13[/tex]

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

[tex]x=-2[/tex]

Hope this helps.

頑張って!

A =  1/2 bh

Let's simplify the right side.

A = (bh) / 2

Multiply both sides by 2

2A = bh

Divide both sides by b

(2A) / b = h

Answer:

x = 79.

Step-by-step explanation:

Simplify both sides of the equation, then isolate the variable.

Answer:

the point (-3, 5) would be plotted in the second quadrant, quadrant ||

Step-by-step explanation:

Answer:

-22 is the value of K.

Step-by-step explanation:

A simple way to see how far a mid-point or end-point is from another is by adding or subtracting. For this figure I added to see how many numbers would add twice to get from -15 to -29. -14 is the exact number from -15 to -29; divide that by 2 to get half of -14 which is -7. -7 + (-15) gives you -22.

The location of K so that JK is 1/7 of JL is -22.

Given that, K lies between J and L.

We need to find the location of K so that JK is 1/7 of JL.​

In geometry, a line segment is a part of a line that is bounded by two distinct end points and contains every point on the line that is between its endpoints.

Now, the distance between the points J and L on the number line is 14.

So, 1/7(14)=2

A simple way to see how far a mid-point or end-point is from another is by adding or subtracting. For this figure, I added to see how many numbers would add twice to get from -15 to -29. -14 is the exact number from -15 to -29; divide that by 2 to get half of -14 which is -7. -7 + (-15) gives you -22.

Therefore, the location of K so that JK is 1/7 of JL is -22.

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Answer:

She has 7 nickels, 11 dimes and 10 quarters

Step-by-step explanation:

Total value =$3.95

Let

Nickel = x

Dimes = x + 4

Quarters = x + 3

Every

Nickel = 5 cents

Dimes = 10 cents

Quarters = 25 cents

Total cents = $3.95 × 100

= $395

5n + 10d + 25q = 395

5(x) + 10(x+4) + 25(x+3) = 395

5x + 10x + 40 + 25x + 75 = 395

40x + 115 = 395

40x = 395 - 115

40x = 280

Divide both sides by 40

x= 280/40

= 7

x= 7

Nickel = x = 7

Dimes = x + 4

=7+4

=11

Quarters = x + 3

=7+3

=10

Answer:

2 cups

Step-by-step explanation:

Because you have 4 loads of clothes you would have to use

1/4 of a cup 8 times

1/4*8=8/4 simplified is 2 which no fractions

so the answer is 2 cups for 4 loads of clothes.

Hi there!

~

⇒ Graph : [tex]y=6x^2+1[/tex]

∴ Rewrite the equation in vertex form.

⇒ [tex]y = 6 ( x + 0)^2 + 1[/tex]

∴ Use the vertex form, [tex]y = a(x - h)^2 + k[/tex] , to determine the values of [tex]a , h ,[/tex] and [tex]k[/tex]

[tex]a = 6 \\h = 0\\k = 1[/tex]

∴ Since the value of [tex]a[/tex] is positive, the parabola opens up.

⇵

∴ Find the vertex [tex]( h,k)[/tex].

[tex](0,1)[/tex]

∴ Find [tex]p[/tex], the distance from the vertex to the focus.

[tex]\frac{1}{24}[/tex]

∴ Find the focus.

[tex]( 0 , \frac{25}{24} )[/tex]

∴ Find the axis of symmetry by finding the line that passes through the vertex and the focus.

[tex]x = 0[/tex]

∴ Find the directrix.

[tex]y = \frac{23}{24}[/tex]

∴ Use the properties of the parabola to analyze and graph the parabola.

Direction: Opens Up

⇒ Vertex: [tex]( 0 , 1)[/tex]

⇒ Focus: [tex]( 0 , \frac{25}{24} )[/tex]

⇒ Axis of Symmetry: [tex]x = 0[/tex]

⇒ Directrix: [tex]y = \frac{23}{24}[/tex]

∴ Select a few [tex]x[/tex] values, and plug them into the equation to find the corresponding [tex]y[/tex]  values. The [tex]x[/tex] values should be selected around the vertex.

[tex]x : -2 , -1 , 0 , 1 , 2 \\y : 25 , 7 , 1 , 7 , 25[/tex]

Hope this helped you!

If you divide the circumference C over the radius r, you get 2pi

2pi = C/r

this is because

C = 2pi*r

is one formula to find the circumference. Another formula is

C = pi*d

which works because d = 2r, ie the diameter is twice the radius.

Answer:

(3,4)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2

(2+4)/2 = 6/2 =3

To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2

(5+3/2 = 8/2 =4

The midpoint is (3,4)

Answer:

Hey there!

Using the midpoint formula we find the midpoint to be: (3, 4)

Let me know if this helps :)

Answer =2n^2+11n

you welcome:)

2n² + 11n

5(n² + n) – 3(n²2 – 2n) =

= 5n² + 5n - 3n² + 6n

= 2n² + 11n

Answer:

56

Step-by-step explanation:

Answer:

Step-by-step explanation:

Explanation:

Multiply 0.66666667 with 18 to get

0.66666667*18 = 12.00000006

The 6 at the very end is due to rounding error. In reality the 6's in 0.66666667 should go on forever. That 7 is from rounding up.

Anyways, the result 12.00000006 should be 12 exactly.

Note how

12/18 = 0.66666667

when using a calculator.

Answer:

12

Step-by-step explanation:

Use equilvalent fractions 0.6 repeating is 2/3 than convert it over 18 students which is equal to 12/18 students chose granola bars.

Answer:255.601

Step-by-step explanation:

Answer:

20 minutes

Step-by-step explanation:

.58 times 3 equal 1.74

4.29 - 1.74 = 2.55

2.55 divided by .15 = 17

17 + 3 = 20

hopefully this helps you :)

pls mark brainlest ;)

Answer:

Option C

Step-by-step explanation:

[tex] {9x}^{10} \times ( - {12}^{13} )[/tex]

[tex] = > {( - 12 \times 9)}x^{10 + 13} [/tex]

[tex] = > { - 108x}^{23} [/tex]

Answer:

3 x^4 y^3

just add the number of x's and place that as the exponent and do the same with the y

Answer:

x is 7

Step-by-step explanation:

-3-(-8)-(-2) = x

             7 = x

Answer: 25

Step-by-step explanation: got it wrong and got the answer Took 1 for the team

Answer:

25

Step-by-step explanation:

khan academy :D

Answer:

12

Step-by-step explanation:

7 + 13 + (-8)

Keep in mind, adding a negative number is like subtracting that number.

7 + 13 - 8

= 20 - 8

= 12

Answer:

40,550

Step-by-step explanation:

Given that 12 people can comfortably fit in a 5 × 5 foot square

Area of square = 5²= 25 ft²

The dimension Given by : 8 feets depth on both sides along a 2 mile section signifies a rectangular area.

Area of rectangle = (length × width)

Recall :

1 mile = 5280 feets

2 miles = 5280 × 2 = 10,560 feets

Area = 8 × 10560 = 84480 sq feets

84480 / 25 = 3379.2

Estimated number of people will be :

3379.2 × 12 = 40,550.4

Hence, estimated number of people = 40,550

Answer:

1/2 = m

Step-by-step explanation:

3/4=m+1/4

Subtract 1/4 from each side

3/4 - 1/4=m+1/4-1/4

2/4 = m

Simplify

1/2 = m

Answer:

m=  

2

1

​  

=0.500

Step-by-step explanation:

Answer:

I think the ans is A. inverse.

Answer:

3000

Step-by-step explanation:

Answer:

Step-by-step explanation:

okay so if we lay it out...,

f(x)              6-5x                x-9           x³           2x-5            12x+3

f(-3)              21                   12            -27           -11               -33

f(-2)              16                   -11           -8              -9                -21

f(0)                6                   -9             1                -5                 3

f(1)                 1                    -8             1                -3                 15

f(2)               -4                    -7            8               -1                   27

okay so the left side is all the f(x) values. So the numbers in the "()" represents "x". Now you just substitute the numbers in the"()" for the "x"'s on the top margins. so...,

f(-3)= 6-5x            f(-2)= 6-5x                 f(0)=6-5x               f(1)=6-5x        f(2)=6-5x

f(-3)= 6-5(-3)         f(-2)= 6-5(-2)             f(0)=6-5(0)            f(1)=6-5(1)       f(2)=6-5(2)

f(-3)= 6+15            f(-2)= 6+10                 f(0)=6-0                f(1)=6-5          f(2)=6-10

f(-3)= 21                f(-2)= 16                      f(0)=6                   f(1)= 1              f(2)= -4

f(-3)=x-9               f(-2)=x-9                      f(0)=x-9               f(1)=x-9            f(2)=x-9

f(-3)=(-3)-9            f(-2)=(-2)-9                  f(0)=0-9              f(1)=1-9             f(2)=2-9

f(-3)=-12                f(-2)=-11                       f(0)= -9                f(1)= -8            f(2)= -7

f(-3)=x³                 f(-2)=x³                        f(0)=x³                f(1)= x³              f(2)=x³

f(-3)=(-3)³             f(-2)= (-2)³                    f(0)=0³               f(1)=1³                f(2)=2³

f(-3)= -27             f(-2)= -8                        f(0)= 1                f(1)= 1                 f(2)=8

f(-3)= 2x-5           f(-2)= 2x-5                 f(0)= 2x-5            f(1)= 2x-5      f(2)=2x-5

f(-3)=2(-3)-5         f(-2)=2(-2)-5              f(0)= 2(0)-5          f(1)= 2(1)-5     f(2)=2(2)-5

f(-3)= -6-5            f(-2)= -4-5                  f(0)=0-5               f(1)=2-5         f(2)=4-5

f(-3)= -11               f(-2)= -9                      f(0)= -5                f(1)= -3          f(2)= -1

f(-3)=12x+3            f(-2)=12x+3              f(0)=12x+3          f(1)=12x+3     f(2)=12x+3

f(-3)= 12(-3)+3        f(-2)=12(-2)+3          f(0)=12(0)+3        f(1)=12(1)+3    f(2)=12(2)+3

f(-3)= -36+3          f(-2)= -24+3              f(0)= 0+3             f(1)=12+3       f(2)=24+3

f(-3)= -33                f(-2)= -21                  f(0)=3                 f(1)=15           f(2)= 27

Don't know if you wanted all the work. But I just did it for you so you can see.

The solution is $ 9.50

The weekly per hour rate of Tasha is $ 9.50

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

The weekly per hour of Tasha last week = $ 422.75

The extra overtime pay of Tasha for 3 hours = $ 42.75

The total number of hours working = 40 hours

So , the equation will be

The weekly per hour of Tasha without overtime = weekly per hour of Tasha last week - overtime pay of Tasha for 3 hours

Substituting the values in the equation , we get

The weekly per hour rate of Tasha without overtime = 422.75 - 42.75

The weekly per hour of Tasha without overtime = $ 380

So , The weekly per hour rate of Tasha A = The weekly per hour rate of Tasha without overtime / total number of hours working

Substituting the values in the equation , we get

The weekly per hour rate of Tasha A = 380 / 40

The weekly per hour rate of Tasha A = $ 9.50

Therefore , the value of A is $ 9.50

Hence , The weekly per hour rate of Tasha is $ 9.50

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