Cabs use a valuable commodity—gas! Research average gas prices from 2005

Can someone help me figure this out

Setler79 [48]

Answer:

<h2>See the explanation.</h2>

Step-by-step explanation:

It is told that, 330 students that are surveyed, are 9th graders.

Hence, 0.55 represents 330 students, that is 1 represents $\frac{330}{0.55}$ = 600 students.

The number of 9th grade students whose favorite elective is music is represented by 0.18.

1 ≡ 600

0.18 ≡ $600\times0.18$ = 108.

The percentage of students whose favorite elective is home economics and are also in 10th grade is $\frac{0.06}{1} \times100$ = 6%.

5 0

3 years ago

Help with 58 show work plz

xz_007 [3.2K]

I'm not going to say the answer because i want you to figure it out.
But here.

For Part A: There are 665 pounds of apples, 35 go in each box. You have to find out how many boxes there will be. How will you break apart 665 by 35? (Division) After that, you got your answer!

Part B: Just write down your answer from Part A.

4 0

3 years ago

(a) Derive an equation of the line passing through the points A(0, 545) and B(4, 726). (Let t be the independent variable and y

a_sh-v [17]

Answer:

The equation of the line is $y=45.25t+545$

Step-by-step explanation:

The general for of a line is:

$y=mt+n$ (1)

where:

$m$ is the slope of the line and $m$ is the intercept with the axis of the dependent variable, $y$ in this case.

In order to obtain the value of the slope ( $m$ ) we can use the corresponding slope formula:

$m=\frac{y_{2}-y_1 }{t_2-t_1}$ (2)

where $t_1, t_2, y_1$ and $y_2$ are the corresponding coordinates of the given points. In this case:

$t_1=0\\t_2=4\\y_1=545\\y_2=726\\$

Substituting these values in equation (2) we obtain:

$m=\frac{726-545}{4-0}=\frac{181}{4}=45.25\\m=45.25$

Hence, the line equation is now:

$y=45.25t+n$ (3)

Now to obtain the value of $n$ you can follow two options:

You can substitute one of your points, $A$ or $B$ , in equation (3). In this way, you will obtain an equation where the variable is $n$

Note that for this question, it is easier to select point A because of having the independent variable equals to zero $t=0$ . Hence, substituting point A in equation (3):

$45.25*0+n=545\\n=545$

Therefore, the line equation is: $y=45.25t+545$

The second option to find $n$ is to think of the meaning of the <em>intercept</em>. The <em>intercept </em>of a line is defined as the point in which the line crosses the axis of the dependent variable, which also means that the value of the independent variable for this point is zero. From this, we could have automatically said that $n$ is equal to $545$ .