A mechanic charges $75 per hour for her services and $60 for the initial call. What is the dependent variable in the situation?

There are 20 teachers and 705 students in cory's school. what is the ratio of teachers and students

Aleksandr [31]

We know that ratios can be shown with both fractions and colons.

20:705

or

$\frac{20}{705}$

It also looks like we can simplify this by dividing by 5.

20/5 = 4

705/5 = 141.

This means that for every 4 teachers, there are 141 students.

The ratio for teachers to students is:

4 : 141

6 0

1 year ago

Several years ago, Matt built a rectangular flower bed at his house. The width of the flower bed was 14 inches less than the len

sveticcg [70]

D. 24.47 inches
I think this is the right answer

4 0

3 years ago

Read 2 more answers

Jackson wants to tile the floor in his bathroom with square tiles that are 1/2 foot long. Will he use more or fewer tiles if he

andreev551 [17]

He will use more tiles because 1/3 is smaller than 1/2 and the smaller the tiles the more you need to fill the place up.

3 0

3 years ago

Write an equation for the line described in standard form with x-intercept 4 and y-intercept 5

stealth61 [152]

Answer:

Equation $( \frac{5}{4}) x + y = 5$ is in the standard dorm.

Step-by-step explanation:

Here, the x - intercept = 4 , so ( 4,0) is a point on the line.

and the y - intercept = 5, so ( 0,5) is a point on the line.

So, the slope of the equation is given as = $\frac{y_2 - y_1}{x_2-x_1 } = \frac{5 -0}{0-4} = -\frac{5}{4}$

Now, the SLOPE INTERCEPT FORM of an equation is :

y = mx + b: here m = slope and b = y- intercept

or, $y =-( \frac{5}{4}) x + 5$

Now, standard form is Ax +By = C

So, the standard form is $( \frac{5}{4}) x + y = 5$

Hence, the above equation $( \frac{5}{4}) x + y = 5$

is in the standard dorm.

4 0

2 years ago

Help me with this 1,2,3. For each sequence, Determine with whether it appears to be arithmetic If it does find a common differen

pshichka [43]

Problem 1

<h3>Answer: Arithmetic, common difference = -4</h3>

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Explanation:

Pick any term of the sequence, and subtract off the previous term to find that,

term2 - term1 = -12 - (-8) = -12 + 8 = -4
term3 - term2 = -16 - (-12) = -16 + 12 = -4
term4 - term3 = -20 - (-16) = -20 + 16 = -4

Each time we get the same result, so that means we have an arithmetic sequence with common difference -4

This indicates that adding -4 to each term, or subtracting 4 from each term, will generate the next one.

Eg: term2 = term1 - 4 = -8-4 = -12.

==========================================================

Problem 2

<h3>Answer: Arithmetic, common difference = 5</h3>

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Explanation:

Similar to problem 1, this sequence is also arithmetic because we add on 5 to each term to get the next one

-6+5 = -1
-1+5 = 4
4+5 = 9

Or you could subtract adjacent terms as done in problem 1, to find that the common difference is 5.

==========================================================

Problem 3

<h3>Answer: Not arithmetic</h3>

-------------------

Explanation:

Unlike the previous two problems, this sequence is not arithmetic.

We can see that

term2 - term1 = 12 - 3 = 9
term3 - term2 = 48 - 12 = 36

The gaps of 9 and 36 aren't the same. We need the same common difference between any adjacent terms to have an arithmetic sequence.

This sequence is instead geometric because

term2/term1 = 12/3 = 4
term3/term2 = 48/12 = 4
term4/term3 = 192/48 = 4

Each quotient is 4, showing the common ratio is 4. To find the next term, we multiply the current term by 4. So the next term after 192 would be 4*192 = 768, then 4*768 = 3072 is next, and so on.

3 0

3 years ago