Wayne went on a 4km hike. He took a break at 4/3 k. He took a drink of water at 10/3. Show Wayne's hike on the number line. Include his starting and finishing Place, and the 2 points where he stopped
Answers
- Wayne went on a 4 km hike.
- Wayne took a break at 4/3 km.
- Wayne took a drink of water at 10/3.
2. Then, when you convert the values from fractions to decimals, you have:
4/3 km=1.33 km
10/3 km=3.33 km
3. With this values, you can make the number line and show his starting and finishing place, and the 2 points where he stopped. This is shown in the figure attached.
Related Questions
The table below represents a linear function f(x), and the equation represents a function g(x): X) -1, 0, 1 F(x) -5, -1, 3 G(x)=2x+8
Part A. Wrote a sentence to compare the slope of the two functions and shows the steps you used to determine the slope of f(x) and g(x)
Part B which functions has greater y-intercept. Justify
Answers
1. The slope of f(x) is twice as steep as that of g(x).
2. The y intercept of g(x) is much greater than that of f(x) because 8>-1
During a 5-year period, 32% of snowstorms in a certain city caused power outage Fifty-one of the snowstorms did not cause power outages. Find the total number of snowstorms in this city over the 5-year period.
Answers
This can be written as 0.68 x = 51 where x is the total number of snowstorms. Divide both sides by 0.68 to solve for x. X = 75 snowstorms. Another way to do this is to use Ratios. See the attached page for the strategy.
Total number of snowstorms = 75 storms
Explanation:
We are given that:
32% of the snowstorms caused power outage
This means that we can get the percentages of the snowstorms that did not cause power outage as follows:
% of storms not causing outage = 100% - 32% = 68%
Now, we are given that the number of snowstorms that did not cause power outage is 51
Assuming that the total number of storms is x, the equation would be as follows:
68% * x = 51
0.68x = 51
x = 51 / 0.68
x = 75 storms
Hope this helps :)
the pyramid arena in memphis tennessee is a square pyamid that is 321 feet tall. the base has 600 foot sides. find the volume of the pyramid
Answers
The volume of a pyramid is represented by
V = [tex] \frac{l * w* h}{3} [/tex]
The sides are 600 and the height is 321 so by filling in the values in the formula, you can get to your final answer. This is represented in the attached image.
A deep-sea diver must descend and ascend in short steps to equalize pressure on his body. If the diver rises toward the surface too fast, he may suffer from a physical condition called "the bends." Suppose the diver started at 82 feet below the surface and rose in 5 steps of 15 feet each. Use an integer to describe his new position in relation to the water surface.
Answers
Answer:
-7 feet
Step-by-step explanation:
The total distance the diver rose is 5*15 = 75 feet
If we take the zero at the water surface, then the initial position, that is, 82 feet below the surface has to be considered as -82. The 75 feet risen by the diver is a positive quantity, then his new position, in relation to the water surface, is -82 + 75 = -7 feet, i. e. 7 feet below the surface.
passing through (1,9),slope=2
Answers
Assuming that we want this in slope intercept form, which is y=mx+b (m=slope, b=y-intercept) then we need to find the y-intercept! :)
To find the y-intercept (or b!!) you simply need to plug everything into slope intercept form using our given points.
y = mx + b
Plug everything in.
9 = 2(1) + b
Simplify.
9 = 2 + b
Subtract 2 from both sides.
9 - 2 = b
b = 7
Therefore, our y-intercept is 7! :)
Now that we have both the y-intercept and the slope, we can finally plug this into a new equation, using slope intercept form.
y = mx + b
y = 2x + 7
~Hope I helped!~
Here the slope is 2.
Then, y = 2x + b
The line is passing through (1;9).
We just have to substitute that in the equation.
9 = 2*1+ b
b = 9 - 2
b = 7
That's the intercept.
Eventually, the equation is : y = 2x + 7
Hope this helps !
Photon
Kerry cut an 8 foot long board into 6 pieces that are equal in length. Represent this problem as a fraction
Answers
2a - 1 = 19
Solve the equation and show all work please show steps!!
Answers
The answer is "x=10".
Reason:
First write the equation:
2a-1=19
Add one on both sides:
19+1=20
2a=19
Now divide 2 by 20:
20/2=10
a=10
If you need anymore help feel free to ask me!
Hope this helps!
~Nonportrit
How many 53/4 pieces of yarn can be cut from a roll that is 60 inches long? please i really need help
Answers
x= number of 53/4 pieces
x= 60 ÷ 53/4
to divide by the fraction, multiply by the reciprocal/inverse of 53/4
x= 60 * 4/53
x= (60*4)/53
x= 240/53
x= 4 28/53 or 4.528
ANSWER: The roll can be cut into 4 pieces with a 28/53 piece leftover.
Hope this helps! :)
How do u do #10? Plz show on paper
Answers
K'(-2, -5), A'(1, -4), I'(-1, 0), J'(-4, -2)
James cut 1 1/4 dozen flower for a bouquet. Gwen added 1 2/4 dozen flowers to the bouquet. How many dozen flowers are there altogether?
Answers
Flower cut for a bouquet by James =[tex] 1\frac{1}{4} [/tex]
Flower cut for a bouquet by Gwen=[tex] 1\frac{2}{4} [/tex]
Flower cut for a bouquet by James and Gwen is the sum of flowers cut by both.
Flower cut for a bouquet by James and Gwen=[tex] 1\frac{1}{4} +1\frac{2}{4} =(1+1)+(\frac{1}{4} +\frac{2}{4} =(2)+\frac{3}{4} =2\frac{3}{4} [/tex]
Flower cut for a bouquet by James and Gwen =[tex] 2\frac{3}{4} [/tex]
Hurry I'm TIMED!!!! The following graph shows the low temperatures for the past six nights. What was the range of temperatures for the six nights?
34°F
22°F
12°F
8°F
Answers
8, 12, 22, 34
Range is the difference between the highest number and lowest number in a set of data. To find the range for this data you take 34 and subtract 8 which gives you 28.
Answer:
the answer above is incorrect! So you take 22 which is the lowest on the graph and you take 34 which is the highest on the graph and 8 is not on the graph so 34-22=12
Step-by-step explanation:
SOYOUR ANSWER IS: 12YOU ARE WELCOME MY DEAREST FRIEND!What is the median of the following data set? {6, 3, 9, 1, 7} 3 6 8 9
Answers
Your answer would be 9.
Answer:
9
Step-by-step explanation:
100 dL = how many L exp lane please and answer
Answers
100 deciliter is equal to 10 liter
Details down below....
There are 0.1 liters in a deciliter.
We can use that information to find how many liter are there in 100 deciliter.
So, it should look like this:
0.1 L...........1 dl
x L................100 dl
Cross multiply
1 * x = 100 * 0.1
x = 10
You got it? See how easy that was :)
Math is an interesting beautiful subject. We just need to know the formulas and understand when and how to use them.
I hope this answer helps! As always, it is my pleasure to help students like you!
-2x+y=1.3 2(0.5x-y)=4.6
Answers
y=1.3+2xy=1.3+2x
2 Substitute y=1.3+2xy=1.3+2x into 2(0.5x-y)=4.62(0.5x−y)=4.6How?
2(-1.5x-1.3)=4.62(−1.5x−1.3)=4.6
3 Solve for xx in 2(-1.5x-1.3)=4.62(−1.5x−1.3)=4.6How?
x=-2.4x=−2.4
4 Substitute x=-2.4x=−2.4 into y=1.3+2xy=1.3+2xHow?
y=-3.5y=−3.5
5 Therefore,
x=-2.4x=−2.4
y=-3.5y=−3.5
A mini-cube measures 1.5 in. wide. A mega-cube is 5 times as wide. What is the volume of the mega-cube, rounded to the nearest tenth?
Answers
Answer:
the answer is 421.9 in³
Find x. Round to the nearest hundredth.
Answers
x = 22.55
9. A model of a building is made using a scale of 1 inch = 25 feet. What is the height of the actual building, in feet, if the height of the model is 12.5 inches?
*PLZ HELP* *DUE IN 1 HOUR* *EMERGENCY* *17 POINTS* *YOU WILL GET A COOKIE*
Answers
We have to find y which is the actual height, 12.5 inches: y.
To find y, you have to multiply 12.5 by 25 to find the actual height.
12.5×25= 312.5
So the actual height of the building is 312.5 feet.
Answer:
312.5
Step-by-step explanation:
i wil get my cookie
What is the answer for 20x21
Answers
21 groups of 20 is 21*2=42
42*10=420
Hope this helped☺☺
Anyone? please i need help
Answers
y = 5x - 7
Explanation:
The general form of the linear line in slope-intercept form is:
y = mx + c
where:
m is the slope
c is the y-intercept
1- getting the slope:
The slope of the line can be calculated using the following formula:
m = [tex] \frac{y_{2}-y_{1}}{x_{2}-x_{1}} [/tex]
We are given the points:
(3,8) representing (x₁,y₁)
(2,3) representing (x₂,y₂)
Substitute with the givens in the above equation to get the slope as follows:
m = [tex] \frac{3-8}{2-3} [/tex] = 5
Therefore, the equation now became:
y = 5x + c
2- getting the y-intercept:
To get the value of the c, we will use any of the given points, substitute in the equation we got in part 1 and solve for c. I will use point (2,3) as follows:
y = 5x + c
3 = 5(2) + c
3 = 10 + c
c = 3 - 10
c = -7
Based on the above, the equation of the line is:
y = 5x - 7
Hope this helps :)
Answer:
[tex]y= 5x-7[/tex]
Step-by-step explanation:
Using slope-intercept form:
The equation of line is given by:
[tex]y=mx+b[/tex] .....[1]
where,
m is the slope of the line
b is the y-intercept.
As per the statement:
The points (3, 8) and (2, 3) fall on a particular line.
Using slope(m) formula:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the given points we have;
[tex]m = \frac{3-8}{2-3}=\frac{-5}{-1}=5[/tex]
⇒m = 5
Put m = 5 in [1] we have;
[tex]y=5x+b[/tex]
Substitute the point (3, 8) we have;
8 = 5(3)+b
8 = 15+b
Subtract 15 from both sides we have;
[tex]-7 = b[/tex]
or
b = -7
Then we have;
[tex]y= 5x-7[/tex]
Therefore, the equation of line in slope intercept form is, [tex]y= 5x-7[/tex]
PLZ!!! HELP!!!!!!!!!
This figure is 14 of a circle.
What is the best approximation for the perimeter of the figure?
Use 3.14 to approximate pi.
A.7.85 in.
B.12.9 in.
C. 17.9 in.
D. 31.4 in.
The file is the picture of the quarter or 1/4 circle
Answers
Answer:
C. 17.9
Step-by-step explanation:
Formula: 1/4 π x d
d = diameter
d = 2r
1/4 π x 10 = 10/4 π
Add the 2 non-curve sides
5 + 5 = 10
10/4 x (3.14 = π) x 10
= 17.9
I hope this helps! :)
what is eleven less than 7 times a number is at least 2 what is the inequality
Answers
Define x.
----------------------------------------------------------
Let the number be x.
----------------------------------------------------------
Construct inequality
-----------------------------------------------------------
7x - 11 ≥ 2
----------------------------------------------------------
Add 11 to both sides.
----------------------------------------------------------
7x ≥ 13
----------------------------------------------------------
Divide by 7 on both sides.
----------------------------------------------------------
[tex]x \geq \dfrac{13}{7} [/tex]
----------------------------------------------------------
[tex]\bf \text{ Answer: } x \geq \dfrac{13}{7} [/tex]
----------------------------------------------------------
Hence, the inequality is [tex]x\geq \frac{13}{7}[/tex].
What is an inequality?
A relationship between two expressions or values that are not equal to each other is called 'inequality.
Here given that,
Eleven less than [tex]7[/tex] times a number is at least [tex]2[/tex].
Let the number be [tex]x[/tex]. Construct the inequality
[tex]7x - 11 \geq 2[/tex]
Now add [tex]11[/tex] to both sides.
[tex]7x\geq 2+11\\7x\geq 13[/tex]
Now, divide by [tex]7[/tex] both sides, we get
[tex]x\geq \frac{13}{7}[/tex].
Hence, the inequality is [tex]x\geq \frac{13}{7}[/tex].
To know more about inequality
https://brainly.com/question/23575974
#SPJ2
a square has the sides of 2 yards. plastic cues with sides of 8 inches are placed on the rug. if the cubes cost $2 each, how much money is needed to completely cover the rug with the cubes
Answers
The area of the square is 5184 inches squared.
Divide the area by 64 (area of cube) to equal 81 cubes.
Multiply 81 by 2 to find cost.
Cost = $162
Hope this helps!! :)
Which relation is a function of x?
Answers
Answer:
last option is correct.
Step-by-step explanation:
A relation is a function if each x value has a unique y value.
We'll use this concept to check whether the relation is a function or not.
For the first relation,
the x value 2 has two different values -9 and 8 . Hence, it is not a function.
For the second relation,
the x values -8 and 1 has different y values . Hence, it is not a function.
For the third relation
The x value -5 has different y values. Hence, it is not a function.
For the fourth relation
All the x values have unique y values. Hence, from the definition it is a function.
Therefore, last option is correct.
What are three two dimensional shapes that could result from slicing a cube
Answers
triangle, square, rectangle, trapezoid, parallelogram, pentagon, hexagon.
....................
Answers
Selection A is appropriate.
Malik drinks 1\2 liter of water and 1\3 liter of liter of juice.did malik drink more water or juice?
Answers
Which describes the correct way to convert minutes to hours?
Answers
60m = 1h
m = minutes | h =hour
60m + 60m = 120m = 2h
Hope this helped!
PLS HURRY FIRST ANSWER IS MATKED BRAINLEST!!!
What is the volume of the piles of hay??
Answers
1 x 2 x 4 = 8
72 -8 = 64 cubic feet
translate the verbal phrase into a algebraic expression pls
Answers
...................................................................
The quantity demanded x for a product is inversely proportional to the cube of the price p for p > 1. When the price is $10 per unit, the quantity demanded is 64 units. The initial cost is $150 and the cost per unit is $2. What price will yield a maximum profit?
Answers
q(10) = k/10^3 = 64
k = 64,000
Revenue = q(p)*p = 64000/p^2
Cost = 150 +2q = 150 +2*64000/p^3
Profit = Revenue -Cost = 64000/p^2(1 -2/p) -150
Differentiating to find the maximum profit, we have
.. dProfit/dp = -2(64000/p^3) +6(64000/p^4) = 0
.. -1 +3/p = 0
.. p = 3
A price of $3 per unit will yield a maximum profit.