A fast food restaurant sells burgers, chicken sandwiches, and entree salads. If a customer buys a burger, the probability they buy french fries is 0.80. Fifty percent of customers who purchase a chicken sandwich also buy fries, but only 10% of those buying an entree salad buy fries. Of all customers, 65% buy a burger, 20% a chicken sandwich, the rest buy an entree salad.

What proportion of customers get a burger and fries?

Answer:

14 1/8 inches of molding

Step-by-step explanation:

In order to find the solution, we'll have to do 2 fractions subtractions.

To be able to subtract fractions, we have to make sure they are placed in the same denominator.  So, the first thing we'll do is to convert all the numbers in 8th, because that's the greatest denominator.

[tex]48 \frac{1}{2}  = 48 \frac{4}{8} = \frac{(48 * 8) + 4}{8}  = \frac{388}{8}[/tex]

[tex]10 \frac{1}{4} = 10 \frac{2}{8} = \frac{(10 * 8) + 2}{8} = \frac{82}{8}[/tex]

For the last one, we'll first convert the 2 feet into 24 inches.

[tex]24 \frac{1}{8} = \frac{(24 * 8) + 1}{8} = \frac{193}{8}[/tex]

Now, we'll subtract each of the two pieces cut from the original molding's length, first the 10 1/4 inches piece

[tex]\frac{388}{8} - \frac{82}{8} = \frac{388 - 82}{8} = \frac{306}{8}[/tex]

then the 2 feet 1/8 piece

[tex]\frac{306}{8} -  \frac{193}{8} = \frac{306 - 193}{8} = \frac{113}{8} = 14 \frac{1}{8}[/tex]

So,  the contractor is left with 14 1/8 inches of molding.

Answer:

To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.

Please see the attached images below, to find more information about the graph

The equation is:

f(x) = x^4 – 2x^3 + 5x^2 – 7x + 9

The equation has only complex roots.

Answer:

+1,+3,+9

Step-by-step explanation:

Factors of the constant term

Answer:

y = - [tex]\frac{3}{5}[/tex] x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (5, - 4) and (x₂, y₂ ) = (0, - 1) ← 2 points on the line

m = [tex]\frac{-1+4}{0-5}[/tex] = [tex]\frac{3}{-5}[/tex] = - [tex]\frac{3}{5}[/tex]

Note the line crosses the y- axis at (0, - 1) ⇒ c = - 1

y = - [tex]\frac{3}{5}[/tex] x - 1 ← equation in slope- intercept form

In mathematics, the slope-intercept form is a linear equation format represented as y = mx + b. In this equation, 'y' is the dependent variable, 'x' is the independent variable, 'm' is the slope or rate of change, and 'b' is the y-intercept, the point where the line intersects the y-axis. The equation of the line in slope-intercept form is y = -x + 2.

The equation of the line in slope-intercept form is y = -x + 2.

To determine the equation of the line, we can use the following steps:

Find the slope of the line.

Find the y-intercept of the line.

Substitute the slope and y-intercept into the slope-intercept form equation.

Step 1: Find the slope of the line

The slope of the line is the change in y divided by the change in x. We can find the slope of the line by choosing two points on the line and calculating the change in y divided by the change in x between those two points.

For example, we can choose the points (2, 2) and (6, -2).

slope = (y2 - y1) / (x2 - x1)

slope = (-2 - 2) / (6 - 2)

slope = -4 / 4

slope = -1

Step 2: Find the y-intercept of the line

The y-intercept of the line is the point where the line crosses the y-axis. We can find the y-intercept of the line by looking at the graph and finding the y-value of the point where the line crosses the y-axis.

In this case, the line crosses the y-axis at the point (0, 2). Therefore, the y-intercept of the line is 2.

Step 3: Substitute the slope and y-intercept into the slope-intercept form equation

The slope-intercept form equation is y = mx + b. In this case, the slope (m) is -1 and the y-intercept (b) is 2.

Therefore, the equation of the line in slope-intercept form is y = -x + 2.

Learn more about slope-intercept here:

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The side of a square is the square root of the area.

Side = √196

Side = 14 inches.

c = - 3

Hope this helps!

Answer:

the greenhouse can hold 27 flower beds.

Step-by-step explanation:

[tex]6480 \div 240 = 27[/tex]

if you need the width of the greenhouse, its

[tex]6480 \div 120 = 54[/tex]

Answer:

The area of the park is [tex]108\ m^{2}[/tex]

Step-by-step explanation:

we know that

The scale drawing is [tex]\frac{5}{3}\frac{cm}{m}[/tex]

step 1

Find the actual length of the rectangular park

Divide the length in the drawing by the scale drawing

[tex]20/(5/3)=12\ m[/tex]

step 2

Find the actual width of the rectangular park

Divide the width in the drawing by the scale drawing

[tex]15/(5/3)=9\ m[/tex]

step 3

Find the area of the park

[tex]A=(12)(9)=108\ m^{2}[/tex]

So I don't remember how to do IQR or MAD but I can help you with the rest for the garter snake (hopefully I'll explain it well enough so that you can do the water snake on your own.

Mean: Add all the numbers together then divide the sum by the number of integers given

26 +30+22+15+21+24+28+32+24+25+18+35 = 300

If you count there are a total of 12 numbers so you have to divide 300 by 12

300 / 12 = 25

Median: Put the numbers in order from lest to greatest then find the number in the middle

^^^What I do for this is start on the out side and take away one on both sides each "round" until I reach the middle (Does that make sense?)

15  18   21   22  24  24  25  26  28  30  32  35  

     18   21   22  24  24  25  26  28  30  32

            21  22  24  24  25  26  28  30

                  22  24  24  25  26  28

                         24  24  25  26

                               24  25

^^^Now this is tricky because there are two number remaining instead of one, so you have to find which number is in between the two left. This one  is easy (the middle of 24 and 25 is 24.5) since they are only one number apart, but if it is more difficult what you do is take the mean of those two remaining numbers

24 +25 = 49

49 / 2 = 24.5

Mode: Which number appears the most often in the set of data?

15  18   21   22 24  24  25  26  28  30  32  35

24 appears two times in the data where the rest of the numbers appear only once therefore 24 is the mode of this set of data

Range: Subtract the largest number by the smallest number

Largest number: 35

Smallest number: 15

35 - 15 = 20

Hope this helpd!

Your answer is A.

y = -1/2x + 9

Answer:

Option A is correct.

Step-by-step explanation:

Given Two points on line are ( 2 , 8 )  &  ( 8 , 5 )

We have to find A line of best fit for the graph using these two points.

We find the equation of line using two point form,

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

So,

[tex]y-8=\frac{5-8}{8-2}(x-2)[/tex]

[tex]y-8=\frac{-3}{6}(x-2)[/tex]

[tex]y-8=\frac{-1}{2}(x-2)[/tex]

[tex]y-8=\frac{-1}{2}x-\frac{-1}{2}\times2[/tex]

[tex]y-8=\frac{-1}{2}x+1[/tex]

[tex]y=\frac{-1}{2}x+1+8[/tex]

[tex]y=\frac{-1}{2}x+9[/tex]

Therefore, Option A is correct.

Answer:

[tex]\large\boxed{x>\dfrac{1}{2}}[/tex]

Step-by-step explanation:

[tex]3(2x-1)>4x-2\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(3)(2x)+(3)(-1)>4x-2\\\\6x-3>4x-2\qquad\text{subtract 4x from both sides}\\\\2x-3>-2\qquad\text{add 3 to both sides}\\\\2x>1\qquad\text{divide both sides by 2}\\\\x>\dfrac{1}{2}[/tex]

Answer:

8568

Step-by-step explanation:

You have to choose 5 out of 18, and the order does not matter. So you're looking for the number of combinations, not permutations.

So you have to find 18C5.

nCr = n!/(n-r)!r!

so 18C5 = 18!/13!5!

              = (18 * 17 * 16 * 15 * 14 * 13!)/ 13!5!

              = 18*17*16*15*14/5*4*3*2*1

              = 8568

Hope it helps :)

The total number of ways to select a committee of 5 people from a group of 18 is 8568.

The question is asking for the total number of ways to select 5 people from 18. This is a commonly encountered problem in combinatorics, a mathematic field that deals with countable structures. To solve this, we use the combination formula, usually denoted as nCr where n is total items and r is number of items to choose. In this case, we use the combination formula C(18,5) where 18 is the total number of people and 5 is the committee size.

The formula for combination (nCr) is:

n! / (r!(n - r)!)

where '!' signifies a factorial which is the product of an integer and all the integers below it.

Inserting the numbers into the formula gives us:

18! / (5!(18 - 5)!) = 8568

So, there are 8568 different ways to choose a committee of 5 people from a group of 18.

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Answer:

(1, - 4 )

Step-by-step explanation:

To find the y- coordinate, substitute x = 1 into the equation

y = (3 × 1) - 7 = 3 - 7 = - 4

The missing value is -4.

Since you already know that x = 1, substitute that into the equation and simplify. y = 3(1) - 7

Anything times 1 equals itself. y = 3 - 7

Subtract. y = -4

Answer:

is 5.?=5 and for 6.?=18

Step-by-step explanation:

the second one. the same value of x cannot go to two different y’s. if you plotted them on a graph they would not pass the vertical line test :)

Answer:

The second one.

Step-by-step explanation:

The values in the x variable are both 2's but have different y values. Therefore it's not an actual function.

Answer:

its 18

Step-by-step explanation:

b/c 6 times 3 is 18

It’s 2 because 6 divided by 3 is 2

Answer:

C. [tex]f(x) = (x-2.5)^{2}-3.25[/tex]

Step-by-step explanation:

The vertex form for a quadratic function is:

[tex]f(x) = a(x-h)^2+k[/tex]

[tex]f(x) = a(x^2-2hx +h^2) + k[/tex]

[tex]f(x) = ax^2-2ahx +ah^2 + k[/tex]

[tex]f(x) = ax^2+bx+c, Second\ form[/tex]

[tex]ax^2+2ahx +ah^2 + k = ax^2+bx+c[/tex]

[tex]-2ah = b[/tex]

[tex]h = -\frac{b}{2a}[/tex]

from the quadratic function given you know that a = 1 , b = -5 and c = 3, thus:

[tex]h = -\frac{(-5)}{2(1)}=2.5[/tex]

[tex]ah^2+k = c[/tex]

[tex]Isolate\ k =>\ k = c-ah^2[/tex]

You know c,a and h, so replace the values:

[tex]k = 3-(1)(2.5)^2 \\ k = 3-6.25\\ k = -3.25\\[/tex]

• Finally replace the values for a, h and k in the vertex form:

[tex]f(x) = a(x-h)^2+k\\ f(x) = (1)(x-2.5)^2+(-3.25)\\ f(x) = (x-2.5)^2-3.25[/tex]

So answer is C. [tex]f(x) = (x-2.5)^2-3.25[/tex]

Answer:

A

Step-by-step explanation:

The equation of a parabola is y = ax² + bx + c : a ≠ 0

Given

y = 2 (x + 4)² - 7 ← expand the squared factor

y = 2(x² + 8x + 16) - 7 ← distribute the parenthesis by 2

y = 2x² + 16x + 32 - 7 ← collect constant terms

y = 2x² + 16x + 25 → A

[tex]\bf ((5^{-2})(9^5))^{-6}\implies ((5^{-2\cdot -6})(9^{5\cdot -6}))\implies 5^{\stackrel{\stackrel{n}{\downarrow }}{12}}\times 9^{\stackrel{\stackrel{m}{\downarrow }}{-30}}[/tex]

Answer:

2

Step-by-step explanation:

Because 1 ball + 1 Ball = 2 Ball

Answer:

2,3,5,6,9,10

Step-by-step explanation:

To do this, we can look at how each value divides into 90. If it produces a whole number, they will be consider to be divisible

[tex]90/2=45\\\\90/3=30\\\\90/4=22.5\\\\90/5=18\\\\90/6=15\\\\90/9=10\\\\90/10=9[/tex]

This means 4 is the only value that is not divisible into 90

Answer:

2, 3, 5, 6, 9, 10

Step-by-step explanation:

We are to determine which numbers is 90 divisible by:

[tex]2,3,4,5,6,9,10[/tex]

For this, we can use the divisibility rule which helps us find out whether a number is exactly divisible by other numbers (i.e. there is no remainder left).

Divisible by 2:

90 is divisible by 2 since it ends with a 0.

Divisible by 3:

90 is divisible by 3 because 90 is a multiple pf 3.

Divisible by 4:

90 is not divisible by 4 because the last two digits are not a multiple of 4

or the last two digits are not 00.

Divisible by 5:

90 is divisible by 5 since it ends with a 0.

Divisible by 6:

90 is divisible by 6 because it is divisible by 3.

Divisible by 9:

90 is divisible by 9 because it is a multiple of 9.

Divisible by 10:

90 is divisible by 10 since the last digit is 0.

Answer:

I think it's 2,928 but i don't know if i'm right

if i'm right can you make in the brainliest

Answer:

2,928 miles

Step-by-step explanation:

To find the total add the two numbers (2342 + 586) to arrive at the answer

Answer:

8

Step-by-step explanation:

When you divide by a fraction, you can also say that you are multiplying by the reciprocal.

So [tex]6/\frac{3}{4}=6*\frac{4}{3}[/tex]

[tex]6=\frac{6}{1}[/tex]

[tex]\frac{6}{1}*\frac{4}{3}=\frac{24}{3}=8[/tex]

Answer:

hold up i know it

Step-by-step explanation:

50, because 4÷5=.80 or 80%.

So 40÷50=.80 or 80%

3/1 divided by 3/4 = 3/1 times 4/3. Multiply across to get 12/3 which = 4. It dripped for 4 hours.

Answer:

120 divided by 1/6= 720

Step-by-step explanation:

120 divided by 1/6

When we divide by a fraction , we change the division to multiplication .

To divide 120 by a fraction 1/6.

We take reciprocal of 1/6 and multiply with 120

Reciprocal of 1/6 is 6/1

[tex]\frac{120}{\frac{1}{6} } = 120 * \frac{6}{1} = 720[/tex]

120 divided by 1/6 equals 720, which is found by multiplying 120 by the reciprocal of 1/6.

To find what 120 divided by 1/6 is, you use the principle of division of fractions.

In this case, you multiply 120 by the reciprocal of 1/6. The reciprocal of 1/6 is 6/1, or simply 6.

Therefore, the calculation you need to perform is:

120 × 6 = 720

This means that 120 divided by 1/6 equals 720.

Answer:

Step-by-step explanation:

We need to find the graph of the following function:

Y - 4 = 4/3(x-2)

Solving for Y we have:

Y = 4/3(x-2) + 4

The graph is similar to the graph of f(x) = 1/x. But, with the following differences:

1. The graph is translated vertically upwards by 4 units.

2. The graph is translated horizontally to the right 2 units.

3. The graph is enlarged by a factor of 4/3.

Then, considering all these facts. The graph of f(x) = 1/x and the new graph according to all the characteristics stated before are attached.

Answer:

The image triangle NPQ is triangle KLM

Step-by-step explanation:

The vertices of triangle NPQ are at:

N(-7,-6), P(-4,-3) an Q(-4,-6).

The rule for the translation is:

[tex](x,y)\to(x+8,y+1)[/tex]

This implies that:

[tex]N(-7,-6)\to (-7+8,-6+1)=N'(1,-5)[/tex]

[tex]P(-4,-3)\to (-4+8,-3+1)=P'(4,-2)[/tex]

[tex]Q(-4,-6)\to (-4+8,-6+1)=Q'(4,-5)[/tex]

Therefore triangle N'P'Q' has vertices at N'(1,-5),P'(4,-2), and Q'(4,-5)

This coincides with K(1,-5),L(4,-2), and M(4,-5)

Hence the image triangle NPQ is triangle KLM

ANSWER

C) 5.7 seconds

EXPLANATION

The height of the object is given by:

[tex]h(t) = - 16 {t}^{2} + 64t + 160[/tex]

If the object hit the ground, then the height is zero.

[tex]- 16 {t}^{2} + 64t + 160 = 0[/tex]

Divide through by -16

[tex] {t}^{2} - 4t - 10 = 0[/tex]

Where a=1, b=-4 and c=-10

We substitute into the quadratic formula to obtain,

[tex]t= \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

[tex]t= \frac{ - - 4\pm \sqrt{ {( - 4)}^{2} - 4( 1)( - 10)} }{2(1)} [/tex]

[tex]t= \frac{ 4\pm \sqrt{56} }{2} [/tex]

[tex]t= \frac{ 4\pm 2\sqrt{14} }{2} [/tex]

t=2-√14 or t=2+√14

Time cannot be negative.

Hence, t=5.7 seconds to the nearest tenth.

The correct function to represent the transformation of the parent function f(x) = 5x, after being vertically compressed by a factor of one-fourth, shifted to the right three units, and up two units, is g(x) = 1.25(x - 3) + 2.

To find the transformed function of the parent function f(x) = 5x after a series of transformations, we must apply the following transformations step by step:

Vertically compress by a factor of one-fourth, which means we multiply the output by 1/4 or 0.25. Therefore, f(x) becomes f(x) = (1/4) * 5x = 1.25x.

Shift to the right three units, which means we replace x with (x - 3). Therefore, our function becomes f(x - 3) = 1.25(x - 3).

Shift up two units, which means we add 2 to the function's output. Our function now becomes f(x - 3) + 2 = 1.25(x - 3) + 2.

Putting it all together, the function that represents the transformation is g(x) = 1.25(x - 3) + 2.

Answer:

2004.035

Step-by-step explanation:

2000+4=2004, 3.5%= .035, and 2004+0.035=2004.035