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storchak [24]
3 years ago
5

Melanie draws with great fervor, using up pencils at an incredible rate 14 pencils every 4/9 of an hour how many pencils does sh

e use in an hour
Mathematics
1 answer:
zaharov [31]3 years ago
7 0
Hello there!

4 pencils . 4/9 of an hour = 4/9 of 60 minutes = 4/9 * 60 = 80/3 minutes
x pencils = ? . one hour = 60 minutes14 * 60 = 80/3 * x       /*3
14 * 60 * 3 = 80 * x
80 * x = 2520            /80
x = 2520 / 80
x = 31.5 pencilsThe result would be 32 pencils in one hour.

Hope I helped!

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A park district has 25 elm trees and 20 oak trees to be planted. They are separating the trees for different areas. They want ea
Vlada [557]

This question belongs to greatest common factor.

Given, there are two types of trees.

25 elm trees and 20 oak trees.

Let's find the factors of 25 and 20

25 = 5 * 5

20 = 5* 4

The common factor between both the numbers is 5.

Hence, there should be 5 areas so that the trees can be planted equally.

Answer = 5 areas.

6 0
3 years ago
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HELP FAST PLEASE
yan [13]

Answer:

(x - 3, y + 6)

Step-by-step explanation:

Point K starts as (1, -3)

Point K after the translation becomes (-2, 3)

The x-coordinate goes from 1 to -2. That is a change of -3 in x, or x becomes x - 3.

The y-coordinate goes from -3 to 3. That is a change of +6 in y, or y becomes y + 6.

Answer: (x - 3, y + 6)

6 0
3 years ago
Answer the following questions about the problem above. Write in complete sentences to get full credit.
nexus9112 [7]

<em>Note: Since you missed to add the image, so after a little research, I was able to find the image related to this question, which hopefully serves the purpose to clear your concept. The image is attached below.</em>

Step-by-step explanation:

<em><u>Part 1) What is the slope for section "d" of Mrs. Washington's commute</u></em>

Calculating the slope for section "d" of Mrs. Washington's commute:

Slope of the section d  =\frac{y_{2} - y_{1}}{x_{2} - x_{1}}

\frac{6 - 0}{32 - 20}=\frac{1}{2}=0.5

<em><u>Part 2) What does it mean that the slope is negative in context of the problem?</u></em>

The slope is being negative as it is moving downward from the left. In negative slop, the value of x increase, while the vale of y decreases. In positive slop, the value of both x and y increases.

<em><u>Part 3) Why are the slopes different over different intervals?</u></em>

Slopes are different at different intervals as the distance covered in time taken for each part of the given journey are different, also the speed is not the same for each interval.

As the speed can be calculated as

Speed\:=\:\frac{distance}{time}\:

Distance = y_{2} -y_{1} = 20 - 15 = 5

Time = x_{2} -x_{1}= 8 - 0 = 8

Speed = \frac{5}{8}=0.625

Therefore, the speed in the part 1 is 0.625 ms^{-1}

<em><u>Part 4) How long does it take Mrs. Washington to get home? How did you know this?</u></em>

It is clear from the graph that does take 32 minutes to her to get home.  

We can observe it from the graph that it represents the total time taken across the entire journey.

Keywords: slope, speed, time

Learn more about slope, speed and time from brainly.com/question/13275691

#learnwithBrainly

3 0
3 years ago
The four points (−2, 5), (−2, −1), (6, −1), and (3, 5) are the vertices of a polygon. What is the area, in square units, of this
crimeas [40]
Look at the picture.

The polygon is a right-angled trapezoid.

The area is:
A=\frac{a+b}{2} \times h

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The points (-2,5) and (-2,-1) lie on the same vertical line, so the distance between them is 5-(-1)=5+1=6. The length of h is 6 units.

A=\frac{8+5}{2} \times 6=\frac{13}{2} \times 6=13 \times 3=39

The area is 39 square units.

5 0
3 years ago
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The slope, m, of a linear equation can be found using the formula m = , where the x- and y-values come from two ordered pairs,
Westkost [7]
The formula is y=mx + b, or rearranged would be m= y/x -b/x.
7 0
3 years ago
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