Connie has saved up $15 to purchase a new CD from the local store. The sales tax in her county is 5% of the sticker price. Write an equation and solve it to determine the value of the highest priced CD Connie can purchase with her $15, including the sales tax. Round your answer to the nearest penny. (2 points) x − 0.05x = 15; x = $15.79 5x = 15; x = $3.00 x + 0.05x = 15; x = $14.29 0.5x = 15; x = $30

Answer:

Our set of data is:

A. their first choice (12 people)

B their second choice (7 people)

C their third choice (3 people)

D their last choice (3 people)

The total number of people is:

12 + 7 + 3 + 3 = 25.

You already know the number of people for each situation, but let's calculate the percentage:

1st choice: The first choice of 12 people winned, and the total number of people is 25.

Now, 25 is our 100%, then 12 is equivalent to x;

Then we have

12*100% = 25*x

x = (12/25)*100% = 48%

This is:

The quotient between

Second choice:

Same reasoning as above, here the percentage is:

(7/25)*100% = 28%

Third choice:

Same reasoning as above, here the percentage is:

(3/25)*100% = 12%

Fourth/Last choice:

Same reasoning as above, here the percentage is:

(3/25)*100% = 12%

Answer:  n< 3

Step-by-step explanation:

5n - 14 < 1 .  add 14 to both sides

5n -14 +14 < 1 + 14

5n +0 < 15

5n < 15   divide both sides by 5 .5n/5 = 15/5

n < 3

Answer:

14,7

Step-by-step explanation: if it is being divided by 2 it is 14 and 7

Answer:

a^5.

Step-by-step explanation:

a^12 / a^7 = a^(12 - 7) = a^5.

Hope this helps!

Answer:

Start with the parent function y=1/x^2

Add 3 to x in the denominator, because the graph is shifted left 3.

Add 1 to the fraction, because the graph is shifted up 1 unit

Step-by-step explanation:It is the answer 100% on assignment

Answer:

Age of teacher = 32 years

Step-by-step explanation:

Average age of 15 students = 16 years

Sum of age of 15 students = 16 * 15 = 240 years

Average of age 15 students and a teacher = 17 years

Sum of age  15 students and a teacher = 17 * 16 =  272 years

Age of teacher = 272 - 240 = 32 years

Answer:

Age of teacher = 32 years

Therefore, the correct answer is (b)

Step-by-step explanation:

We know that average is given by

Average age = Sum of ages /no. of students

We are given that the average age of 15 students is 16 years.

16 = Sum of ages/15

Sum of ages = 16×15

Sum of ages = 240

We are given that If teacher’s age is included the average increases by 1.

16 + 1 = New sum of ages/15 + 1

17 = New sum of ages/16

New sum of ages = 17×16

New sum of ages = 272

So the age of the teacher is found by

Age of teacher = New sum of ages - Sum of ages

Age of teacher = 272 - 240

Age of teacher = 32 years

Therefore, the correct answer is (b)

Answer:

Step-by-step explanation:

9-5=4

8*4*10=320

5*10*3=150

320+150=470

470 cm³

Answer:

38.5°

Step-by-step explanation:

Given that the height of the building is 8 yard and the distance between Jonathan and the building is 10 yards.

The sun is at the top of the building, let the distance between Jonathan laying on the ground and the top of the building be x. Using Pythagoras:

x² = 10² + 8²

x² = 100 + 64

x² = 164

x = √164 = 12.86 yards

For a triangle with sides a, b, c and their respective opposite angles A, B, and C. The sine rule is given as:

[tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex]

Let the angle that the sunlight hit the ground be y°. The andle between the building and the ground is 90°. Therefore using sine rule:

[tex]\frac{8}{sin(y)}=\frac{12.86}{sin(90)}\\\\sin(y)=\frac{8*sin(90)}{12.86}\\\\sin(y)=0.622\\\\y=sin^{-1}0.622\\\\y = 38.5^0[/tex]

Answer:

The answer is option D.

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

Equation of a line from given a Slope and a point is

y - y1 = m(x - x1)

Where ( x1 , y1) is the point

Equation of the line using point (-6 , -5) and slope 6 is

Hope this helps you

Answer:

Step-by-step explanation:

A = {2,8,10,14}

B= {6,8,20}

C={8,18,20,24}

A ∩ B --> intersection means elements that  are in both sets A & B

A ∩ B = {8}

A∩ C =  {8}

B ∩ C = {8 , 20}

A∩B ∩ C = {8}

First blue box = { 2,10, 14}

Second blue box = {18, 24}

First green box = { 8}

Second green box = { 20}

b) A ∩ B = {8}

n [ A ∩ B] = 1

Probability of the number to be a member of A∩B =  1 / 25

Answer:

So possibilities of zeroes are:

Positive       Negative       Imaginary

   1                    1                   2

   3                   1                   0

Zeroes = -1.4549, 1.2658, 0.34457-1.0503i, 0.34457+1.0503i.  

Step-by-step explanation:

Note: Descartes' Rule of Signs is used to find the signs of zeroes not the exact value.

The given function is

[tex]f(x)=4x^4-2x^3-3x^2+6x-9[/tex]

Degree of polynomial is 4 so number of zeroes is 4.

There are three sign changes, so there are either 3 positive zeros or 1 positive zero.

Now, put x=-x in f(x).

[tex]f(-x)=4(-x)^4-2(-x)^3-3(-x)^2+6(-x)-9[/tex]

[tex]f(-x)=4x^4+2x^3-3x^2-6x-9[/tex]

There is one variation in sign change, so there is 1 negative zero.

So possibilities of zeroes are:

Positive       Negative       Imaginary

   1                    1                   2

   3                   1                   0

Using graphing calculator the zeroes of given function are -1.4549, 1.2658, 0.34457-1.0503i and 0.34457+1.0503i.  

Answer:

The answer is 1.514571894×10^21.

Step-by-step explanation:

Here, the divisors of 288 are,

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288.

now, their product =1×2×3×4×6×8×9×12×16×18×24×32×36×48×72×96×144×288

=1.514571894×10^21.

is answer.

Hope it helps...

Answer:

Step-by-step explanation:

2 * 3 * 4 * 6 * 8 * 9 * 12 * 16* 18 * 24 * 32 * 36 * 48 * 96 * 144

Some teachers would include 288. I would not.

You can get the actual answer by using the calculator that came with your computer. An ordinary calculator will not work because the answer will come out in scientific notation.

657,366,253,849,018,368 is the answer.

Answer:

73 degrees

Step-by-step explanation:

Given

A Shaped Frame of two congruent sides

Required

Determine the angle made with the ground

Given that there are two congruent sides, this implies that the A frame is an isosceles triangle;

Let the two angles made with the ground be represented by x

Angles in a triangle when added equals 180;

Hence;

[tex]x + x + 34 = 180[/tex]

[tex]2x + 34 = 180[/tex]

Subtract 34 from both sides

[tex]2x + 34 - 34 = 180 - 34[/tex]

[tex]2x = 180 - 34[/tex]

[tex]2x = 146[/tex]

Divide both sides by 2

[tex]\frac{2x}{2} = \frac{146}{2}[/tex]

[tex]x = \frac{146}{2}[/tex]

[tex]x = 73[/tex]

Hence, the angle with the ground is 73 degrees

Answer:

see explanation

Step-by-step explanation:

1) 6c + 15(1) = 75

6c = 60

c = 10 packs of cupcakes

2) 6c + 15(7) = 75

6c + 105 = 75

6c = -30

c = -5, since he bought more brownies than needed, he does not need to buy any cupcakes.

Answer:

6c+15b=75

1)If the treasurer buys 1 package of brownie bites

6(1)+15b=75

15b=75-6

b=69/15=4.6 ( means the treasure needs to buy 5 packages).

2): If the treasurer buys 7 packages of brownie bites,

6c+15(7)=75

6c+105=75

c=-30/6=-5( you can not buy negative amount)

the treasure does not need to buy, because brownies are enough and more.

Answer:

The correct answer is D.

Step-by-step explanation:

Giving the following information:

R = 90x

Total cost= 35x + 17,000

x= is the number of units produced and sold

Now, we know that:

Unitary variable cost= 35

Fixed costs= 17,000

Selling price per unit= 90

To calculate the break-even point in units, we need to use the following formula:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 17,000 / (90 - 35)

Break-even point in units= 309 units

Answer:

[tex] s = 14.1 [/tex]

Step-by-step explanation:

Find s using the Law of Cosines:

m < S = 31°

SR = q = 21

SQ = r = 9

QR = s = ?

Thus,

[tex] s^2 = r^2 + q^2 - 2(r)(q)*cos(S) [/tex]

[tex] s^2 = 9^2 + 21^2 - 2(9)(21)cos(31) [/tex]

[tex] s^2 = 81 + 441 - 378*0.8572 [/tex]

[tex] s^2 = 522 - 324.0216 [/tex]

[tex] s^2 = 197.9784 [/tex]

[tex] s = \sqrt{197.9784} [/tex]

[tex] s = 14.07 [/tex]

[tex] s = 14.1 [/tex] (to the nearest tenth)

Answer: She had 60% of the money left

Step-by-step explanation:

240/600=0.4

0.4 = 40%

100%-40%=60%

Answer:

60%

Step-by-step explanation:

LETS MAKE IT INTO A FRACTION

FIRST LETS CALCULATE HOW MUCH SHE SPENT

=240/600

WE CAN SIMPLIFY BY DIVIDING THE EQUATION BY 10

=24/60

LETS DIVIDE BY 6

=4/10

DIVIDE BY 2

=2/5

NOW LETS CALCULATE HOW MUCH SHE HAS LEFT

THE EASIEST WAY IS TO SUBTRACT

5/5-2/5=3/5

3/5 IS ALSO EQUAL TO 60/100

SO KAREN HAS 60% OF HER MONEY LEFT

HOPE I HELPED

PLS MARK BRAINLIST

(DESPERATELY TRYING TO LEVEL UP)

        ✌

Answer:

$8

Step-by-step explanation:

It says P = per ball (which will be a number, n, for balls times the fixed price) plus a set entrance fee. So we find that the price per ball is $0.80, so 10 balls cost $8.

Answer:

$8

Step-by-step explanation:

Answer:

The answer is option 2.

Step-by-step explanation:

First, you have to find the length of CD using Tangent Rule, tanθ = opposite/adjacent:

[tex] \tan(θ) = \frac{oppo.}{adj.} [/tex]

[tex]let \: θ = 48[/tex]

[tex]let \: oppo. = cd[/tex]

[tex]let \: adj. = ad = 110[/tex]

[tex] \tan(48) = \frac{cd}{110} [/tex]

[tex]cd = 110 \tan(48)[/tex]

[tex]cd = 122.17 \: feet[/tex]

Next, you have to find the length of BC using Sine Rule:

[tex] \sin(θ) = \frac{oppo.}{hypo.} [/tex]

[tex]let \: θ = 65[/tex]

[tex]let \: oppo. = cd = 122.17[/tex]

[tex]let \: hypo. = bc[/tex]

[tex] \sin(65) = \frac{122.17}{bc} [/tex]

[tex]bc = \frac{122.17}{ \sin(65) } [/tex]

[tex]bc = 134.8 \: feet \: (near.tenth)[/tex]

Answer:

[tex]\boxed{134.8 \: \mathrm{ft}}[/tex]

Step-by-step explanation:

Let’s take triangle ACD.

Find length CD.

tan θ = [tex]\frac{opposite}{adjacent}[/tex]

tan (48) = [tex]\frac{CD}{110}[/tex]

110 tan (48) = CD

CD ≈ 122.167

Let’s take triangle BCD.

Find length BC.

sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

sin (65) = [tex]\frac{122.167}{BC}[/tex]

BC = [tex]\frac{122.167}{sin(65)}[/tex]

BC ≈ 134.796

Answer:

39 students

Step-by-step explanation:

let x represent the number of students taking both current event and foreign language

there are : 70 eight grader taking current event and 54 taking foreign

70+54-x=93

-x=93-124

x= 31 students taking both

number of eighth graders take only a current events class and not a foreign language class: 70-31=39 students

Answer:

m<R=48.2 to the nearest tenth

Step-by-step explanation:

1. sin(m<T)=2/3

m<T=arcsin(2/3)=41.81 degrees

m<R=180-90-m<T=180-90-41.81=48.19 degrees

Answer:

x = 5.4

Step-by-step explanation:

Multiply 7.2 by 3/4 to find the equivalent ratio.

Answer:

Step-by-step explanation:

[tex] \frac{7.2}{x} = \frac{4}{3} [/tex]

Apply cross product property

[tex]4x = 7.2 \times 3[/tex]

Multiply the numbers

[tex]4x = 21.6[/tex]

Divide both sides of the equation by 4

[tex] \frac{4x}{4} = \frac{21.6}{4} [/tex]

Calculate

[tex]x = 5.4[/tex]

Hope this helps..

best regards!!

Answer: C. 71,224,900

Based on the power, move the decimal point that many spaces to the right. (e.g., If it's 7.9 × 10^3, then move the decimal three spaces to the right, and you'd get 7900.)

3.14159 × 10^7 = 31415900

9.897752 × 10^6 = 9897752

2.468 × 10^7 = 24680000

Out of all the numbers mentioned in the question, 71,224,900 is the only one that's greater than 3.14159 × 10^7 = 31415900.

[tex] {3x}^{2} - 4x - 12 = 0[/tex]

[tex]a = 3[/tex]

[tex]b = - 4[/tex]

[tex]c = - 12[/tex]

Formula:

[tex] \boxed{x = \dfrac{ - b \pm \: \sqrt{ {b}^{2} - 4ac} }{2a} }[/tex]

Replacing:

[tex]x = \dfrac{ -( - 4) \pm \sqrt{ { (- 4)}^{2} - 4(3)( - 12)} }{2(3)} [/tex]

Option: C).

Answer is 31 because you have to count the ones under and behind

Answer:

He should expect to be stopped a total of 16 times

Step-by-step explanation:

What the question is saying is that out of every 5 intersections, he would be stopped at 2.

Now, for forty times in which he passes through an intersection , we want to know the number of times in which he would be stopped

In this case we only need to multiply the probability by the number of times in which he passes an intersection and that would be 2/5 * 40 = 16 times

Answer:

16

Step-by-step explanation:

Answer:

The mode is the number that occurred the most often. The range is the difference between the highest and lowest values.

Step-by-step explanation:

Answer:

Mode:The number whose repetaed the most is the set (there can be multiple)

Range: The largest number minus the smallest = The range

Answer:

108

Step-by-step explanation:

To find x, you need the geometric mean. First, find the second part of 225 by doing 225 - 144 = 81. Now, to find geometric mean, do 81 x 144 = 11,664; [tex]\sqrt{11,664} = 108[/tex].

The missing length in the right triangle as given in the task content is; 108.

It follows from the complete question that the triangle given is a right triangle and the missing length can be calculated as;

First, find the second part of 225 by

225 - 144 = 81.

Now, to find geometric mean,

81 × 144 = x²

11,664 = x²

x = 108

Thus, The missing length in the right triangle as given in the task content is; 108.

Read more on missing length;

https://brainly.com/question/28040679

#SPJ2

Answer: f(x) = -3x^2 + 3x - 2

Explain: x of vertex: [tex]x[/tex] = [tex](-\frac b{2}{a} )[/tex]  = [tex]-\frac{3}{-6} = \frac{1}{2}[/tex]

y of vertex: y = [tex]f (\frac{1}{2} ) = - \frac{3}{4} + \frac{3}{2} -2=-\frac{5}{4}[/tex]

y-intercept: y = -2

x-intercept: y = 0

D = b[tex]^[/tex]^2 - 4ac = 9 - 24 = - 15 <0. There are no real roots (no x-intercepts) because D<0.

Since a <0, parabola opens downward. The parabola is below the x-axis