Solve for the total cost. Retail price: $12.95; discount rate: 15%; sales tax rate: 7%

The option that  accurately  fit the description that  explains how a fair decision can be made in this situation is option A - the sum of the slips of paper is 9.

This is known to be  scientific method used when each unit in a population is known or said to have an equal chance of been selection for  any inclusion into a sample.

The option that  accurately  fit the description that  explains how a fair decision can be made in this situation is option A - the sum of the slips of paper is 9, a small coffee will be ordered. if the sum of the slips of paper is 11, a medium coffee will be ordered. If the sum of the slips of paper is 6 or 14, a large coffee will be ordered.

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Answer:

Option C, [tex]12\frac{1}{2}[/tex]

Step-by-step explanation:

Step 1:  Multiply both sides by 5/2

[tex]5 = \frac{2}{5}a[/tex]

[tex]5 * \frac{5}{2} = \frac{2}{5}a * \frac{5}{2}[/tex]

[tex]\frac{25}{2}=a[/tex]

[tex]12\frac{1}{2}=a[/tex]

Answer: Option C, [tex]12\frac{1}{2}[/tex]

Hope this helps!  Let me know if you have any questions

Answer:

2 + √3.

Step-by-step explanation:

tan 75 = tan (45 + 30)

           =     (tan 45 + tan 30)  /  (1 - tan 45 tan 30)

           =   ( 1 + 1/√3) / (1 - 1*1/√3)

           =   (1 + √3) / √3  *   √3 / (√3 - 1)

           = √3 + 1/ √3 - 1

  Multiply top and bottom by √3 + 1;

                =  (√3 + 1)(√3 + 1) /  (√3 -  1)(√3 + 1)

                = 3 + 2√3 + 1 / (3 - 1)

                =  (4 + 2√3) / 2

                =  2 + √3.

Answer:

E = 90

Step-by-step explanation:

E represents the maximum value in the data set , that is

E represents the value 90

Answer:

E is 90

Step-by-step explanation:

the end of the box and whisker plot is the last number in chronoligical order. So the one all the way on the right, e is 90

Answer:

2750

Step-by-step explanation:

Remark

You have to assume that this can be solved by using a proportion. A proportion is 2 equal ratios. Three parts of the 2 ratios must be known and your job is to find the 4th one.

Equation

w*L/C1 = w1*L1 / x

Solution

w = 8

L = 10

w1 = 20

L1  = 25

C1 = 449

C2= x

Solution

8*10/440 = 20*25/x          Combine

80/440 = 500 / x               Cross Multiply

80x = 440*500                  Combine

80x = 220000                  Divide by 80

x = 220000/80

Answer

x = 2750

Answer:

put a point on the 9 (the line on the left of 10) and on the -6 (the line to the left of -5).

a. 9 is located to the right of -6

b. use the symbol >

Step-by-step explanation:

Answer:

C. The sum of 18 and half the product of 9 and 4.

Answer:

Part 1

Set B

Part 2

We can use the FOIL method to multiply these expressions:

[tex]\textsf{FOIL}: \quad(a+b)(c+d)=ac+ad+bc+bd[/tex]

However, as all the expression are in the format [tex](a+b)^2[/tex], we can use the shortcut:  [tex](a+b)^2=a^2+2ab+b^2[/tex]

Part 3

Using the shortcut to find the products:

[tex]\begin{aligned}\implies (x+5)(x+5)& =(x+5)^2\\ & =x^2+2(x)(5)+5^2\\ & =x^2+10x+25\end{aligned}[/tex]

[tex]\begin{aligned}\implies (2x+9)(2x+9) & = (2x+9)^2\\ & = (2x)^2+2(2x)(9)+9^2\\ & = 4x^2+36x+81\end{aligned}[/tex]

[tex]\begin{aligned}\implies (x+1)^2 & = x^2+2(x)(1)+1^2\\ & = x^2+2x+1\end{aligned}[/tex]

Part 4

A new example of a multiplication problem based on the structure of Set B is:  [tex](3x+2)(3x+2)[/tex]

[tex]\begin{aligned}\implies (3x+2)(3x+2) & = (3x+2)^2\\ & = (3x)^2+2(3x)(2)+2^2\\ & = 9x^2+12x+4\end{aligned}[/tex]

Part 5

An example of a multiplication problem that would NOT be included in Set B based on its structure is: [tex](x+2)(x-2)[/tex]

We cannot use the derived Set B shortcut (from part 2) to multiply this expression.  Instead, we would have to use a different shortcut of "The Difference of Two Squares" to find the product of this example expression.

Answer:

Do reciprocal of that and diameter formula and when your answer will come me just do square multiple of that

Step-by-step explanation:

−5x2−5x+30

=5(−x+2)(x+3)

Answer:

5(−x+2)(x+3)

Answer:

x = 6

Step-by-step explanation:

Slope = (y(2) - y(1))/(x(2) - x(1))

(-1 - 1) / (-1 - x)

If the slope is 2/7, it would be (-2/-1-x, where x would have to be 6)

(-2)/(-7) = 2/7, so x = 6

Check:

(-1 - 1) / (-1 - 6)

(-2)/(-7)

2/7 (Correct :))

Hope it helps :D

Answer:

AB = 75

BC = 60

AC = 45

m∠A = 53°

m∠B = 37°

m∠C = 90°

Step-by-step explanation:

Trigonometric ratios

[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]

where:

Given:

[tex]\sf \tan(A)=\dfrac{60}{45}[/tex]

Therefore:

To find the length of AB (the hypotenuse), use Pythagoras’ Theorem:

[tex]a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

⇒ AC² + BC² = AB²

⇒ 45² + 60² = AB²

⇒ AB² = 5625

⇒ AB = √5625

⇒ AB = 75

To find m∠A:

[tex]\implies\sf \tan(A)=\dfrac{60}{45}[/tex]

[tex]\implies\sf A=\tan^{-1}\left(\dfrac{60}{45}\right)[/tex]

[tex]\implies\sf A=53^{\circ}\:(nearest\:degree)[/tex]

m∠C = 90° (as it is a right angle)

The interior angles of a triangle sum to 180°

⇒ m∠A + m∠B + m∠C = 180°

⇒ 53° + m∠B + 90° = 180°

⇒ m∠B = 180° - 53° - 90°

⇒ m∠B = 37°

Answer:

Step-by-step explanation:

B is the image of D

6 left

2 down

Answer: C (in choices)

B is the image E

6 down

5 left

Answer: D  (in choices)

C is the image of D

1 left

2 down

Answer: F (in choices)

There are 11 1/8 picec that equals 1 3/8

Step-by-step explanation:

n + 34 = 34 + n

commutative means you can change the sequence of the parts without changing the overall result.

g × h = h × g

s + 0 = s

b × 1 = b

the identity property points are to show that adding 0 or multiplying by 1 does not change anything.

Answer:

Step-by-step explanation:

13). ( x - 2 )( x + 6 ) = 9 × 20

x² + 4x - 12 = 180

x² + 4x - 192 = 0

( x - 12 )( x + 16 ) = 0

[tex]x_{1}[/tex] = - 16

[tex]x_{2}[/tex] = 12

14). ( x + 4 )[( x + 4 ) + 3x ] = 8 × ( 8 + 19 )

( x + 4 )( 4x + 4 ) = 216

4( x + 4 )( x + 1 ) = 216

( x + 4 )( x + 1 ) = 54

x² + 5x + 4 - 54 = 0

x² + 5x - 50 = 0

( x - 5 )( x + 10 ) = 0

[tex]x_{1}[/tex] = - 10

[tex]x_{2}[/tex] = 5

15). x( x + 16 ) = 15²

x² + 16x - 225 = 0

( x - 9 )( x + 25 ) = 0

[tex]x_{1}[/tex] = - 25

[tex]x_{2}[/tex] = 9

16). Now is your turn. You can do it!

The measurements are given in the solution below.

Circle definition states a shape that consists of points, in a two-dimensional plane, equidistant from a given point.

Given that the circles we need to find the given missing values,

Using the properties of the circles,

1) (x-2) (x+6) = 20 × 9

x² + 6x - 2x - 12 = 180

x² + 4x - 192 = 0

x = 12 or x = -16.

2) 8 × (8+19) = x+4 (x+4 + 3x)

216 = x + 4 × (4x + 4)

216 = 4x² + 4x + 16x + 16

4x² + 20x - 200 = 0

x² + 5x - 50 = 0

x = 5 or x = -10

3) 15² = 16x

x = 225/16

x = 14.06
4) (x+7)² = 18 × 14

x² + 49 + 14x = 252

x² + 14x - 203 = 0

x = 8.87

x = -22.87

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Answer: √7 / 2 - 3/2

Step-by-step explanation:

√7-2x+5=8
=>  -2x + √7 = 3
=> x =  √7 / 2 - 3/2

Answer:  3082.2

Step-by-step explanation:

Answer: 3,082.2 ft

Step-by-step explanation:

You must apply the formula for calculate the perimeter of a circle, which is:

P=πd where,

P is the perimeter of the circle. (P=9,687 ft)

d is the diameter of the circle.

When you solve for d, you get:

d = P/π

d = (9,687 ft)/(22/7)

d = 3,082.2 ft

Therefore, the answer is: 3,082.2 ft

Answer: Below

Step-by-step explanation:

Just mutiply x on both sides which gives you 2x^2 + 12x then you mutiply 2x^2 then subtract that number on both sides and it gives you x = something then you distribute it on 8(something) - 18 you subtract

Answer:

Step-by-step explanation:

Just mutiply x on both sides which gives you 2x^2 + 12x then you mutiply 2x^2 then subtract that number on both sides and it gives you x = something then you distribute it on 8(something) - 18 you subtract

Answer:

Step-by-step explanation:

Given functions f(x) and g(x).

The y-intercept is the output of the function with the input of zero.

In other words the y -intercept is:

Let's determine the y-intercept of the given functions:

We see both functions have same y-intercept with the value of -3.

The matching answer choice is A.

The probability of landing on the 4 spinners divided into four equal parts will be P=25%

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Here the spinner is divided into four parts of the colours green, red, yellow, and blue.So the number of the sample variable are:-

P(S)=[red,green,yellow,blue]=[4]

The favourable outcome is given as:-

F[s]=[1]

So the probability will be given by:-

P={1}÷{4}=0.25=0.25x 100=25\%

Hence the probability of landing on the 4 spinners divided into four equal parts will be P=25%

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Answer:

Step-by-step explanation:

Remark

No wonder you are posting this. You should never have to rely on a diagram to get an answer, and this diagram is particularly unreliable. What exactly does the peak mean? Does it tell you that the peak is both y and 20 degrees? I'm going to assume so. But it is a very shakey assumption.

Pick a triangle with 2 ys in it. The third angle hits one of the sides of the triangle. Every triangle has 180 degrees. The top angle is 20 degrees and all ys therefor are 20 degrees. So the third angle is y + y + x =180

The 2xs are in a quadrilateral near the top. All quadrilaterals have 360 degrees.  q and one of the angles are vertically opposite. q is then known.

Givens

y = 20

third angle = x

solution

triangles with 2 ys (isosceles)

y + y + x = 180

2y + x = 180

y = 20

2*20 + x = 180

40 + x = 180

x = 140

Quadrillateral

140 + 140 + 20 + vertically opposite q = 360

300 + vertically opposite q = 360

vertically opposite q = 360 - 300

vertically opposite q = 60

Answer

q = 60

Answer:

130 degrees

Step-by-step explanation:

2x+25+25=180

2x=130

Answer:

65°

Step-by-step explanation:

25+25+2x= 180(sum of all the angles of a triangle)

2x= 180-50

x=130/2= 65

Answer:

70%

Step-by-step explanation:

Two Steps to Convert a Fraction to a Percent

Use division to convert the fraction to a decimal:

7/10 = 7 ÷ 10 = 0.7

Multiply by 100 to get the percent value:

0.7 × 100 = 70%

Therefore the answer is 70%.

Answer:

A=61, B=74

Step-by-step explanation:

Because all the angles in a triangle add up to 180:

(2x+4) + (2x-9) + x = 180

If you solve that for x, you will get that x=35. Now you just plug in x to the angles A and B.

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{-7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-7}-\stackrel{y1}{(-1)}}}{\underset{run} {\underset{x_2}{-8}-\underset{x_1}{1}}}\implies \cfrac{-7+1}{-9}\implies \cfrac{-6}{-9}\implies \cfrac{-2}{-3}\implies \cfrac{2}{3}[/tex]

The slope of the line that passes through the points (1,−1) and (−8,−7) is m = 2/3.

Slope tells how vertical a line is. The more the slope is, the more the line is vertical. When slope is zero, the line is horizontal.

Its slope would be: [tex]m = \dfrac{y-q}{x-p}[/tex]

Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.

If a line passes through two points, then its slope can be calculated with the following :

 [tex]m = \dfrac{y-q}{x-p}[/tex]

Plugging in our values, we get:

[tex]m = \dfrac{-7 + 1}{-8 - 1}[/tex]

Now, let's simplify our result:

[tex]m = \dfrac{-7 + 1}{-8 - 1}\\\\m = \dfrac{-6}{-9}[/tex]

m = 2/3

Therefore, the slope of the line that passes through the points (1,−1) and (−8,−7) is m = 2/3.

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Answer:

80 miles

Step-by-step explanation:

40 miles per hour means you move 40 miles in one hour.

If it took 2 hours to travel between the two towns at 40 mph, multiply 40 by 2 and you get 80.

Hope this helps!

Answer:

your answer would be 80 miles

Answer:

66 °

Step-by-step explanation:

Given:

One angle of a right triangle measures 24°.

To Find:

What is the measure of the other acute angle?

Solve:

Note:

Total angles in a triangle 180 degree

Right Triangle ⇒ 90 degree

Let "x" be the measure of the other acute angle

90° + 24° + x = 360°

114° + x = 180°

x = 66°

Kavinsky~

Answer:

Slope is 1

Step-by-step explanation:

Slope=RISE/RUN

You can see the slope is constant. To clarify we can do an example.

So rise can be 2

And run is also 2

Change in y is equal to change in x

so 2/2=1

Hope it helps

Slope

Answer:

i believe its 5/10 or 1/2

Step-by-step explanation: