The dance committee of Pine Bluff Middle School earns
$72 from a bake sale and will earn $4 for each ticket they sell to the Spring Fling dance. The dance will cost $400 Write an inequality to determine the number, t, of tickets the committee could sell to have money left over after they pay for this year's dance.

Answer:

10 units

Step-by-step explanation:

calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (8, 5 ) and (x₂, y₂ ) = (- 2, 5 )

d = [tex]\sqrt{(-2-8)^2+(5-5)^2}[/tex]

   = [tex]\sqrt{(-10)^2+0^2}[/tex]

   = [tex]\sqrt{100}[/tex]

   = 10

The inverse function value in degrees will be 45°. Option C is correct.

Assuming function 'f' is a one-to-one and onto function which is a need for inverses to exist. The inverse of the considered function is. f⁻¹(x).

The given function is;

f(x)=sin⁻¹(1/2)

The given function is arranged is;

x=sin⁻¹(1/2)

The given function in terms of  sin;

sinx=1/2

Putting the values in terms of sin we get;

sinx=sin30°

x=30°

The inverse function value in degrees will be 45°.

Hence,option C is correct.

To learn more about inverse function here:

https://brainly.com/question/19425567

#SPJ1

Step-by-step explanation:

15÷3=5

There are 5 equal groups of 3

8÷4=2

There are 4 equal groups of 2

18÷6=2

There are 3 equal groups of 3

45÷5=9

There are 9 equal groups of 5.

Option B is correct after applying the property of integer exponent and simplification.

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

We have:

[tex]=\rm (x.x^{-3}.y^{\dfrac{1}{3}})^2[/tex]

[tex]=\rm (x^{-2}.y^{\dfrac{1}{3}})^2\\\\=\rm (x^{-4}.y^{\dfrac{2}{3}})\\\\=\rm \dfrac{y^{\dfrac{2}{3}}}{x^{4}}\\\\[/tex]

Thus, option B is correct after applying the property of integer exponent and simplification.

Learn more about the integer exponent here:

brainly.com/question/4533599

#SPJ1

The different mathematical operations that have as a result 54 are 9x6,  8x9 - 18, 5x5 + 29, and 27x2.

This refers to calculating values using addition, multiplication, division, etc.

Learn more about mathematical operation in: https://brainly.com/question/20628271

#SPJ1

Hey there!

5(4r + 3) - 2x

DISTRIBUTE 5 WITHIN the PARENTHESES

= 5(4r) + 5(3) - 2x

= 20r + 15 - 2x

COMBINE the LIKE TERMS (if they are any)

Seems like you don’t have any like terms so we could leave it as it is!

= 20r + 15 - 2x

= 20r - 2x + 15

Therefore, the answer should be:

20r - 2x + 15

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

[tex]1.47 \times {10}^{4} [/tex]

Step-by-step explanation:

Answer:

It's 44 in²

Remember the diagonal formula, whereas there is p and q for the diagonals.

[tex]A = \frac{pq}{2} = \frac{11*8}{2} = 44~in.[/tex]

Answer:

Area of rhombus  = 44 square inches

Step-by-step explanation:

[tex]\sf \boxed{Area \ of \ rhombus = \dfrac{d_1*d_2}{2}}[/tex]

[tex]\sf \text{Here, $d_1$ and $d_2$ are the diagonals}[/tex]

                             [tex]\sf = \dfrac{11 *8}{2}\\\\ = 11*4\\\\ = 44 \ in^{2}[/tex]

Answer:

D. 159

Step-by-step explanation:

The quadratic function that models the data given in the table is 203.8x² - 26.6x + 8.6

A quadratic function is an equation that usually has a single variable and it is raised to the power of 2.

A quadratic function has the form : ax² + bx + c = 0

Where: a, b,c are known numbers and x is unknown

Given the quadratic function: 185x²+ 1.

Given the quadratic function: 203.8x² - 26.6x + 8.6

To learn more bout quadratic functions, please check: https://brainly.com/question/5975436

#SPJ1

Answer: MQ=16, QL=32

Step-by-step explanation:

The centroid splits the median in a 2:1 ratio.

The measure of MQ and QL are 16 and 32 respectively.

Centroid is the point on the median which divides it in the ratio 2:1.

The ratio of lengths QL and MQ will be 2:1.

[tex]\frac{QL}{MQ}=\frac{2}{1}\\QL=2MQ[/tex]

It is known that ML is the sum of MQ and QL.

MQ+QL=ML

Substitute QL=2MQ and ML=48 into the obtained equation.

MQ+2MQ=48

3MQ=48

MQ=16

Substitute MQ=16 into QL=2MQ

QL=2(16)

=32

Thus, the lengths are MQ=16 and QL=32.

To learn more about centroids click:

https://brainly.com/question/20305516

#SPJ2

Answer: 5/24

Step-by-step explanation:

7/8 = 21/24      2/3= 16/24

21/24 - 16/24 = 5/24

Answer:

1.5

Step-by-step explanation:

Answer:

no 2³ = 8

Step-by-step explanation:

2³ = 2 times 2 times 2 which = 8

The perimeter of the quadrilateral is the sum of the side lenths, and the perimeter is 72 units

The given parameters are:

AP = 10

EO = 12

The perimeter of the quadrilateral is calculated using:

Perimeter = 2 * (EO + 2AP) + 4

So, we have

Perimeter = 2 * (10 + 2 * 12) + 4

Evaluate

Perimeter = 72

Hence, the perimeter of the quadrilateral is 72 units

Read more about perimeter at:

https://brainly.com/question/17297081

#SPJ1

Answer:

(D) -2

Step-by-step explanation:

Plug in r=5 and s=-7 to the equation:

-6(5)+(-7)-(5)(-7)

Now we can solve and simplify:

-30-7+35

Combine:

-2

Hey there!

-6r + s - rs

= -6(5) + (-7) - 5(-7)

= -6(5) - 7 - 5(-7)

= -30 - 7 - 5(-7)

= -30 - 7 + 5

= -37 - (-35)

= -2

Therefore, your answer is: -2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

1/5

Step-by-step explanation:

0.2 is the same as 2/10. you then must reduce the fraction

Step-by-step explanation:

here is the single fraction of it

[tex] \frac{1}{5} = 0.2[/tex]

1) Diagonals of a rectangle bisect each other, so AW=13.

2) Since diagonals of a rectangle are congruent, AC=BD. Then, since diagonals of a rectangle bisect each other, DW=13.

3) Diagonals of a rectangle are congruent, so BD=26.

4) Opposite sides of a rectangle are congruent, so AD=10.

5) Using the Pythagorean theorem, BA=24.

Answer:

y = 1.25r

Step-by-step explanation:

1.25 x r(the pounds brought) = y(the money spent)

Answer:

x = 50° y = 130°

Step-by-step explanation:

x and 50° are vertically opposite angles and are congruent , then

x = 50°

y and 50° are adjacent angles and sum to 180° , then

y + 50° = 180° ( subtract 50° from both sides )

y = 130°

Answer:

There are now 6.5 ounces in the new bag.

Step-by-step explanation:

To solve this question, take 30% of 5 and add it to the original amount of 5

30% = 0.30

5 * 0.30 = 1.5

5 + 1.5 = 6.5 ounces of candy.

Hope this helps!

Answer:

Step-by-step explanation:

That means the chance of getting blue = 12/20

12/20 = 6/10

6/10 = 3/5

also, 3/5 = 60%, or .60

The solution of the function [tex]\rm \int{sin(t) (1 + cos(t) )} \, dt[/tex] is - cos t - ¹/₄cos 2t + c.

An indefinite integral is a function that practices the antiderivative of another function.

It can be visually represented as an integral symbol, a function, and then a dx at the end.

The given function is;

[tex]\rm \int{sin(t) (1 + cos(t) )} \, dt[/tex]

Multiply by sint in the function and simplify;

[tex]\rm \int{sin(t) (1 + cos(t) )} \, dt\\\\\rm \int{sin(t) + sin(t)cos(t) \, dt[/tex]

Use trigonometric formulas for double angles:

[tex]\rm 2sintcost =sin2t\\\\sin t cost =\dfrac{1}{2} sin2t[/tex]

Substitute the values in the function

[tex]\rm \int{sin(t) (1 + cos(t) )} \, dt\\\\\rm \int{sin(t) + sin(t)cos(t) \, dt}\\\\ \int{sin(t) + \dfrac{1}{2} sin2t \, dt}\\\\[/tex]

And now we integrate this trigonometric form.

[tex]\rm \int{sin(t) + \dfrac{1}{2} sin2t \, dt}\\\\ \int{sin(t) dt } +\dfrac{1}{2}\int{sin(2t)\, dt}\\\\-cost -\dfrac{1}{2} \times \dfrac{1 \times -cos2t}{2}\\\\-cost -\dfrac{{1 \times -cos2t}}{4}+c[/tex]

Hence, the solution of the given function is - cos t - ¹/₄cos 2t + c.

Learn more about indefinite integral here;

https://brainly.com/question/9829575

#SPJ4

Answer:

19 sq cm

Step-by-step explanation:

2x2=4

2x3=6

1x3=3

2x3=6

6+6+4+3=19