in a group of 100 sports car buyers, 40 bought alarm systems, 30 purchased bucket seats, and 20 purchased an alarm system and bucket seats. if a car buyer is chosen at random, what is the probability they bought an alarm system or bucket seats?

The cheaper cost that should be chosen is $3000 to make 500 apple pies a week.

From the information, the manager of Best Bakery finds it costs $3000 to make 500 apple pies a week. The cost per pie will be:

= Total amount / Number of pie

= $3000 / 500

= $6

Also, it cost $2300 to make 325 apple pies a week. The cost per apple pie will be:

= $2300 / 325

= $7.08

Therefore, the cheaper option is $3000 to make 500 apple pies a week.

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Complete question

The manager of Best Bakery finds it costs $3000 to make 500 apple pies a week or $2300 to make 325 apple pies a week. Which is cheaper?

The first option Focus(2,-0.5); directrix x=0 of the parabola is the correct answer.

What is a parabola?

A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. A parabola can be described using a point and a line.

The general equation of a parabola is as follows:

[tex](y-k)^2=4a(x-h)[/tex]

Now, consider the given equation.

[tex](y+0.5)^2=4(x-1)[/tex]

Now, compare with the standered equation.

a=1, k=-0.5 and h=1

Here, a is positive hence, the parbola opens right side.

Focus is given by the following coordinate:

[tex](h+a,k)=(1+1,-0.5)\\=(2,-0.5)[/tex]

Now, equation of diretrix is given by the following expression:

[tex]x=h-a\\x=1-1\\x=0[/tex]

Hence, the first option Focus(2,-0.5); directrix x=0 is the correct answer.

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Answer:

42

Step-by-step explanation:

Answer:

+ - = -

Step-by-step explanation:

46 - 4 = 42

hope this helps

Answer: Answer is 7.00

Step-by-step explanation: i did this i got right answer...  please likes, 5 star     have great day :)

Answer:

The answer is displayed in the attached image.

Step-by-step explanation:

To find the radical form of an expression, first determine what is in the denominator of the fractional exponent. That number will determine the order of the root you will take. The numerator will be the power of your original number

EXAMPLE:

[tex]5^{\frac{3}{4} }[/tex] = [tex]\sqrt[4]{5^3}[/tex]

Answer:1=a, 2=b, 3=c

Step-by-step explanation:

just smart like that

Answer: (0,-13)

Step-by-step explanation:

The y intercept is x=0

Hence,

y=2(0²)-9*(0)-13

y=2(0)-0-13

y=0-13

y=-13

Thus, (0,-13)

As the discriminant is negative the Quadratic equation has no real zeros.

The formula of discriminant is used to find the number of solutions or zeros that a quadratic equation has. In algebra, the discriminant is the name that is given to the expression which is in under the square root in the quadratic formula.

The formula for discriminant is given by

Here we have

Quadratic function, y = 5x² + 2x + 4  

compare the given equation with ax²+bx+c = 0

=> a = 5, b = 2 and c = 4  

Now find the discriminant of the equation

As we know  

⇒   Discriminant Δ = (2)² - 4(5)(4)

= 4 - 80

= - 76  

Since the discriminant of the equation is negative then the given quadratic equation has no real zeros  

Therefore

As the discriminant is negative the Quadratic equation has no real zeros

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The total surface area of this prism is: 620 cm².

First step it to find the Area of isosceles triangles:

Area of isosceles triangles = [(24 × 5) ÷ 2]

Area of isosceles triangles (120 ÷ 2)

Area of isosceles triangles = 60 cm²

Second step is to find the area of 2 triangles

Area of 2 triangles = 60 cm² × 2

Area of 2 triangles = 120 cm²

Third step is to find the Area of 2 identical rectangles

Area of 2 identical rectangles= (10 × 13 ) × 2

Area of 2 identical rectangles=  260 cm²

Fourth step is to find the  bottom area of rectangle

Area of rectangle  = 24 × 10

Area of rectangle = 240²

Now let find the total surface area

Total surface area =120 + 260 + 240

Total surface area = 620 cm²

Therefore the surface area is 620 cm².

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[tex](\stackrel{x_1}{10}~,~\stackrel{y_1}{a})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{a}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{10}}} ~~ = ~~\stackrel{\textit{\LARGE m}}{\cfrac{1}{4}} \\\\\\ \cfrac{8-a}{-12}=\cfrac{1}{4}\implies 32-4a=-12\implies 44-4a=0 \\\\\\ 44=4a\implies \cfrac{44}{4}=a\implies \boxed{11=a}[/tex]

Answer:

$13

Step-by-step explanation:

$65 x 0.20 = 13

Answer: 20% off 65 is $52.00 so it was $13 saved

Answer:

its A

Step-by-step explanation:

A

Answer:50

Step-by-step explanation:i said so

The slope-intercept form of (5,-3) and (4,0) is y = -3x + 12.

The slope intercept form is simply writing an equation of a line so that the slope or steepness and y-intercept i.e. where the line crosses the vertical y-axis are immediately apparent.

The slope-intercept equation is y = mx + c, where x and y are two variables, and m is slope.

Slope m = [tex]\frac{y2-y1}{x2-x1}[/tex]

Let,

(x1, y1) = (5, -3)

(x2, y2) = (4, 0)

Slope (m) = [tex]\frac{0 - (-3) }{4 - 5}[/tex]

                = [tex]\frac{3}{-1}[/tex]

                = -3

By substituting x, y, and m values in the equation we can get the value of c.

Consider x = 4 , y = 0, m = -3

y = mx + c => 0 = (-3)4 + c

                      c = 12

Therefore, the slope-intercept form of (5,-3) and (4,0) is y = -3x + 12.

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Answer:

Step-by-step explanation:

If Sarah can text 91 words in 14 minutes, then at this rate she will type 65 words in 10 minutes

Number of minutes to types 91  words = 14 minutes

Here we have to use the unitary method to solve the problem

Time taken to type 1 word = Number of minutes to types 91  words / 91

Substitute the values in the equation

= 14  / 91

= 2 / 13

Time taken to type 65 words =  Time taken to type 1 word × 65

Substitute the values in the equation

= (2/13) × 65

= 10 minutes

Hence, if Sarah can text 91 words in 14 minutes, then at this rate she will type 65 words in 10 minutes

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-4 1/3

I hope this helps

When subtracting or adding fractions make sure that the denomators are the same.

Step-by-step explanation:

when we have an equation

y = ax + b

then "a" is the slope.

in our equation we see

1/2(6x ...) = 6/2 x ... = 3x ...

so, the slope is 3.

A coordinate rule for the composition.is

(x, y) → (-x - 1, -y + 1)

The new coordinate is

X' (2, 0)  Y' (-5, -4)

The transformation rule for rotation 180° about the origin is

(x, y) → (-x, -y)

the translation rule given is (x, y) → (x - 1, y + 1)

Merging the translation and the rotation

(x, y) →  (-x, -y) → (-x - 1, -y + 1)

Applying the rule gives

X(-3, 1) → (- -3 - 1, -1 + 1) → (2, 0)

Y(4, 5) → (-4 - 1, -5 + 1)  → (-5, -4)

The graph is attached

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Answer:

Rs 171.40

Step-by-step explanation:

For 1 apple we have to divide 120 by 14 which is 8.57 to 2d.p.

So 20 * 8.57 = 171.4

to 2d.p. = Rs 171.40

Pls could you give me brainliest

pls:(

3 (2q - s)(p + r) is the factor form of expression 6pq-3rs-3ps+6qr.

A factor is a number that divides another number, leaving no remainder

The given expression is 6pq-3rs-3ps+6qr

We need to factorize the expression.

6pq-3rs-3ps+6qr

= 3 (2pq - rs - ps + 2qr)

= 3 (2pq + 2qr -ps - rs)

= 3 (2q(p + r) -s(p + r))

= 3 (2q - s)(p + r)

Hence, 3 (2q - s)(p + r) is the factor form of expression 6pq-3rs-3ps+6qr.

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Reflecting over the y-axis and then translating to the right 10 units

Step-by-step explanation:

Reflection over the line x=5 gives you the transformation ...

 (x, y) ⇒ (2·5 -x, y) = (-x +10, y)

This is precisely the same transformation you get by reflection over the y-axis:

 (x, y) ⇒ (-x, y)

followed by translation to the right 10 units:

 (-x, y) ⇒ (-x +10, y)

__

Reflection over x=5 is the same as reflection over y and translation right 10.

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Answer:-1/3

Step-by-step explanation: the point goes right one and down three making the slope negative

The discriminant of the equation f(x) = 2x^2-10x+8 [tex]\neq[/tex] 36

To find out the discriminant of f(x)=2x^2-10x+8

The formula for the discriminant is represented by b²-4ac.

This equation is in general form, which is ax² + bx + c = 0.

So, lets assume the values to be

a = 2

b = -10

c = 8

The discriminate that we need to find out in the equation below is

D = b²-4ac

[tex]D = -10^{2} - 4(2)(8)[/tex]

D = -100 - 64

D = -164 which is not a nice number

As the discriminant had a negative value of -164.

This means there are no real solutions to the equation, because the discriminant is negative.

Hence the discriminant of the equation f(x) = 2x^2-10x+8 [tex]\neq[/tex] 36

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[tex]\displaystyle\\Answer:\ \left [ {{\boxed{2.1}} \atop {\boxed{3.45}}} \right][/tex]

Step-by-step explanation:

[tex]\displaystyle\\A=\left [ {0.3\ \ \ \ 0.2} \atop {0.35\ \ \ 0.4}} \right]\ \ \ \ \ D=\left [ {{3} \atop {6}} \right]\\\\A*D=\left [ {{c_{11}} \atop {c_{21}}} \right] \\\\c_{11}=a_{11}*b_{11}+a_{12}*b_{21}\\\\c_{11}=0.3*3+0.2*6\\\\c_{11}=0.9+1.2\\\\c_{11}=2.1\\\\c_{21}=a_{21}*b_{11}+a_{22}*b_{21}\\\\c_{21}=0,35*3+0,4*6\\\\c_{21}=1.05+2.4\\\\c_{21}=3.45\\\\Thus,\ A*D=\left [ {{2.1} \atop {3.45}} \right][/tex]

Answer:

Subtract 6 from both sides

answer

Papa Johns charges 2 more per pizza plus 3 more for the delivery charge so 5 total