Which of the following is the correct expanded form for the series below?

-.At a fair hamburgers sell for $3.00 each and hot dogs sell for $1.50 each. The equation 3x + 1.5y = 30 describes the number of

NikAS [45]

Answer:

Part a) The y-intercept is the point (0,20) and the x-intercept is the point (10,0)

The graph in the attached figure

Part b) See the procedure

Step-by-step explanation:

The questions are

Part a) Find the intercepts and graph the function

Part b) What does each intercept represent?

Part a) Find the intercepts and graph the function

Let

x-----> the number of hamburgers

y ----> the number of hot dogs

we have

$3x+1.5y=30$

Remember that

The y-intercept is the value of y when the value of x is equal to zero

so

For x=0

$3(0)+1.5y=30$

$1.5y=30$

$y=20\ hot\ dogs$

The y-intercept is the point (0,20)

The x-intercept is the value of x when the value of y is equal to zero

so

For y=0

$3x+1.5(0)=30$

$3x=30$

$x=10\ hamburgers$

The x-intercept is the point (10,0)

Plot the intercepts and graph the line

see the attached figure

Part b) What does each intercept represent?

The x-intercept is the number of hamburgers they can buy if they buy no hot dogs

The y-intercept is the number of hot dogs they can buy if they buy no hamburgers

5 0

3 years ago

In the adjoining figure, area of trangle ABC is

Zepler [3.9K]

Answer:

$PQ=4\ cm$

Step-by-step explanation:

see the attached figure with the letter D to better understand the problem

we know that

The segment side AD is the height of triangle ABC

so

Triangles PBQ and ABD are similar by AA Similarity Theorem

The area of triangle ABC is equal to

$A=\frac{1}{2}(BC)(AD)$

we have

$A=48\ cm^2\\BC=12\ cm$

substitute

$48=\frac{1}{2}(12)(AD)$

$AD=8\ cm$

Remember that

If two triangles are similar then the ratio of its corresponding sides is proportional

so

$\frac{BP}{AB}=\frac{PQ}{AD}$

substitute the given values

$\frac{BP}{2BP}=\frac{PQ}{8}$

$\frac{1}{2}=\frac{PQ}{8}$

$PQ=4\ cm$

3 0

3 years ago

The amount of kerosene, in thousands of liters, in a tank at the beginning of any day is a random amount Y from which a random a

Tems11 [23]

Find the marginal density for $Y$ by integrating the joint PDF over all possible values of $x$ :

$f_Y(y)=\displaystyle\int_{-\infty}^\infty f_{X,Y}(x,y)\,\mathrm dx=\int_0^y2\,\mathrm dx$

$\implies f_Y(y)=\begin{cases}2y&\text{for }0$

Then the density of $X$ conditioned on $Y$ is

$f_{X|Y}(x\mid y)=\dfrac{f_{X,Y}(x,y)}{f_Y(y)}=\frac1y$

for $0$ and undefined elsewhere.

Thus

$P(0.25$

= = =

I'm not seeing the TeX rendering on any of my browsers. Maybe it's a site-wide issue? In any case, I'm attaching a picture of the text above in case it's incomprehensible.

5 0

4 years ago

Yw = yw what is the reason

kotegsom [21]

Answer:

The Communicative Property of Multiplication

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Keisha makes a large sandwich for a family picnic. She takes 1/2 of the sandwich to the picnic.At the picnic, her family eats 3/

Vesna [10]

1/2 - 3/8 = 4/8 - 3/8 = 1/8
you have to find a common denominator before you can subtract. in this case it is 8

6 0

3 years ago