Ross took a survey of his classmates' preferred food as well as recording their genders. The results are in the table below: Preferred Food Pizza Burgers Other Total Gender Girl 5 6 4 Boy 7 5 3 Total Find the joint relative frequency that a survey participant is a girl who prefers burgers. 11 0.17 0.2 0.37

Answer:

AC is parallel to BD

Step-by-step explanation:

A parallelogram is a quadrilateral with two pairs of parallel sides.

The relationships between the amount spent on books and the cost of

each book is a proportional relationship.

The correct responses are;

Reasons:

The amount Gaya spends on books = $48

The cost of each book = $ x

(a) The expression in terms of x for the number of books Gaya buys is therefore;

Number of books Gaya buys × $ x = $48

Therefore;

(b) The amount Myra spends to buy books = $60

The cost of each book = $·(x + 2)

The number of books Myra buys = The number of books Gaya buys - 4

We have;

[tex]\displaystyle Number \ of \ books \ Myra \ buys = \frac{48}{x} - 4[/tex]

Which gives;

[tex]\displaystyle \mathbf{\left(\frac{48}{x} - 4 \right) \cdot \left(x + 2 \right)} = 60[/tex]

Using a graphing calculator, we get;

[tex]\displaystyle \frac{4 \cdot x^2 - 20 \cdot x - 96}{x} = 60[/tex]

4·x² - 20·x - 96 = 60·x

Which gives;

4·x² + 40·x - 60·x - 96 = 0

4·x² - 20·x - 96 = 0

x² - 5·x - 24 = 0

Learn more here:

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Answer:

19

Step-by-step explanation:

because it alternate with A

Answer:

D) -[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

if 2 lines are perpendicular, one line has the opposite reciprocal of the other line.

Answer:

D,_3/2

Step-by-step explanation:

when two lines are perpendicular, m¹=_1/m²

Answer:

D

Step-by-step explanation:

First find the slope.

[tex]Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{5-[-9]}{4-[-3]}=\dfrac{5+9}{4+3}\\\\\\=\dfrac{14}{7}=2[/tex]

Point slope form:

y - y1 = m(x -x1)

y -[-9] = 2 (x - [-3])

y +9 = 2 (x + 3)

Answer:

y = 12x + 2

Step-by-step explanation:

To know:

     [] These equations are in y = mx + b form

           () Also known as slope-intercept form

           () m is the slope

           () b is the y-intercept

Now, let's solve

     [] Slope / m

           () Slope is "change in y over change in x," let hours be our x and distance by our y

           () [tex]\frac{62 - 14}{5 - 1}=\frac{48}{4}=12[/tex]

     [] Y-intercept / b

           () We will plug in a set of points into our current equation, then solve for b

           () y = mx + b -> y = 12x + b -> 14 = 12(1) + b -> 14 = 12 + b -> 2 = b

Last, we will find our answer

Our b is 2, and our m is 12. This leaves us with option 1, y = 12x + 2

Have a nice day! - table I made is attached

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

You too!!

Step-by-step explanation:

Answer:

The probability of drawing the first pink ball is [tex]\frac{3}{10}[/tex].

Because you drew that first pink ball, there are two pink balls left and the total number of balls left is nine.

Hence, the probability of drawing another pink ball after drawing the first pink ball would be:

[tex]\frac{3}{10} *\frac{2}{9} =\frac{1}{15}[/tex]

Answer:

51 yellow marbles

Step-by-step explanation:

60% of 85 can be found by multiplying 85 and 0.6 to get 51

Answer:

i got 51 marbles! simple.

Answer:

the answer is 9.333

Step-by-step explanation:

because if the towel of the width that is 3 feet less so you do 28/3=9.333

Answer:

length = 7 ft

Width = 4 ft

Step-by-step explanation:

length = l

Width = l -3

Area = 28 sq.ft

length *width = 28

l*(l-3) = 28

l*l - l*3 = 28

l² - 3l - 28 =0

l² - 7l + 4l - 28 = 0

l(l - 7) + 4(l - 7) = 0

(l -7) (l + 4) =

l -7 =  0  {Ignore l + 4 = 0 as , it gives a negative value}

l = 7 ft

width = 7 - 3= 4

Answer:

20400RS

Step-by-step explanation:

Given, Kitchen Size = 15ft * 12ft wall height to be tiled = 5 ft so area of focer walls

= 2* 15+2*5*12

= 150+120=170ft.

Rate is 120/ sq*ft here rate

= 120*170

= 20400RS

Answer:

base = 10cm and height = 10cm

Step-by-step explanation:

base + height = 20

base = height = 20/2= 10cm

Answer:

0.01

Step-by-step explanation:

Answer:

y = 42º

Step-by-step explanation:

The unmaked angle of the bottom triangle is 90º

The sum of the angles is 180

y + 90 + 48 = 180

combine like terms

y + 138 = 180

subtract 138 from both sides

y = 42º

Answer:

y = -2x - 3

Step-by-step explanation:

Slope: (5 - - 5)/(-4 -1) = 10/-5 = -2

y-intercept: 5 - (-2)(-4) = -3

Answer:

39

Step-by-step explanation:

75% of 52 is 39

Hope this helps!

Answer:

250=15x+10

Step-by-step explanation:

250=y

10=b

15 is how much you are paying consantly

The equation in slope-intercept form to represent the cost of each plan is 250=15x+10.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that, a $ 250 lifetime online membership was required. The website's membership costs $10 to enroll and $15 each month.

If x is the number of months, the equation in slope-intercept form to represent the cost of each plan is,

y=mx+c

250=15x+10

Thus, the equation in slope-intercept form to represent the cost of each plan is 250=15x+10.

Learn more about the straight line here:

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#SPJ2

Step-by-step explanation:

x = -2 and x = -5

x + 2 = 0 and x + 5 = 0

(x + 2)(x + 5) = 0

x² + 5x + 2x + 10 = 0

x² + 7x + 10 = 0

f(x) = x² + 7x + 10

The  quadratic equation is x² + 7x + 10.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have the zeroes of Quadratic Equation as -2 and -5.

So, the factors of the equation is (x +2 ) and (x + 5).

Then, the Quadratic equation is

= (x+5)(x+2)

= x² + 5x +2x + 10

= x² + 7x + 10

Thus, the quadratic equation is x² + 7x + 10.

Learn more about Quadratic Equation here:

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Answer:

4

Step-by-step explanation:

your answer is 4 because

2*4 = 8

5*4 = 20

7*4 = 28

8*4 = 33

Answer:

$21.00

Step 1- Solve 40% of $15.00

=$6.00

Step 2- Add the 40% to the discount amount

=$6.00+$15.00=$21.00

Answer:

57777788999999888889999

Answer:  4 1/2 slices/friend

Step-by-step explanation:

One pizza = 9 slices

9 slices/2 friends = 4 1/2 slices/friend

Answer:

3

Step-by-step explanation:

because 9×3=3

2 friends and me

Answer:

x < 10

Step-by-step explanation:

Given: x -4 < 6​

Add four to both sides: x < 10

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

x = t - q

Step-by-step explanation:

because to make q, you need to add x and t

so to make x the subject, you should subtract q

Example

x + t = q

t = 7

q = 36

x = t - q

36 -7 = 29

x = 29

Answer:

v79

Step-by-step explanation:

v79-9that is 10 the closest

Answer:

12 shirts

Step-by-step explanation:

I used the method keep, change, flip (KCF) to divide fractions and solve this problem.

This means Keep the first fraction, Change the division sign to a multiplication sign, and Flip the second fraction.

so keep 10 1/2, or 21/2, change sign, and flip the second fraction to 8/7.

that gives us the equation 21/2x8/7, and solving that gives us 168/14, or 168 divided by 14, so 12 shirts

Answer:

$900

Step-by-step explanation:

3% of 6,000 is 180

so, he earns $180 per annum

5 YEARS LATER

he has been earning $180 every year, so,

180+  180+ 180+ 180+ 180, or 180*5

$900

Hope this helps!

Answer:

residual is a quantity remaining after other things have been subtracted.

Answer: A residual is a measure of how well a line fits an individual data point. This vertical distance is known as a residual. For data points above the line, the residual is positive, and for data points below the line, the residual is negative.

Step-by-step explanation:

Answer:

$1.29

u divide 15.48 by 12. trust