Circle the greater andend. draw circle to count on one two or three write the sum

Serena uses chalk to draw a straight line on the sidewalk. The line is 12 ft long. She wants to divide the line into sections th

ElenaW [278]

<h3><u>Question:</u></h3>

Serena uses chalk to draw a straight line on the sidewalk. The line is 1/2 ft long. She wants to divide the line into sections that are each 1/8 ft long. How many sections will the line be divided into?

<h3><u>Answer:</u></h3>

The number of sections that the line is divided is 4

<h3><u>Solution:</u></h3>

Given that, Serena uses chalk to draw a straight line on the sidewalk

The line is 1/2 ft long. She wants to divide the line into sections that are each 1/8 ft long

From given,

$Total\ length\ of\ line = \frac{1}{2} \text{ feet }\\\\Length\ of\ each\ section = \frac{1}{8} \text{ feet }$

To find: Number of sections can be made

The number of sections that can be made is found by dividing the total length of line by length of each section

$\text{Number of sections } = \frac{\text{Total length of line}}{\text{length of each section}}$

Substituting the values, we get,

$\text{Number of sections } = \frac{\frac{1}{2}}{\frac{1}{8}}\\\\\text{Number of sections } = \frac{1}{2} \times \frac{8}{1}\\\\\text{Number of sections } = 4$

Thus number of sections that the line is divided is 4

8 0

2 years ago

Factor completely 3x2 − x − 4.

vova2212 [387]

If you would like to factor completely 3 * x^2 - x - 4, you can do this using the following steps:

<span>3 * x^2 - x - 4 = (3 * x - 4) * (x + 1) = (3x - 4) * (x + 1)
</span>
The correct result would be (3x - 4) * (x + 1<span>).</span>

3 0

3 years ago

I need help with this math problem plz help and plz explain your answer

IceJOKER [234]

Answer:

34.04 cm²

Step-by-step explanation:

Formula for a trapezoid:

a + b ÷ 2 × height

Substitute the values:

11.7 + 3.1 = 14.8

14.8 ÷ 2 = 7.4

7.4 × 4.6 = 34.04

The answer is 34.04 cm²

8 0

2 years ago

Read 2 more answers

(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 $545$ .

See the attachment for a plot of the line.

7 0

3 years ago

What does impeach mean?

ziro4ka [17]

Answer:

a. to accuse a public official, before an appropriate tribunal. of misconduct in office

6 0

2 years ago