Answer:
4years
Step-by-step explanation:
Let the present age of Mark be x
Let the present age of Max be y
Five years ago
Mark = x-5
Max = y - 5
If mark was twice as old as Max, then;
x - 5 = 2(y-5)
x-5 = 2y - 10
x-2y = -10+5
x - 2y = -5 ... 1
In three years,
mark = x+3
Max = y+3
Now if Max's age will be 2/3 that of Mark, then;
x+3 = 2/3(y+3)
3(x+3) = 2(y+3)
3x + 9 = 2y+6
3x-2y = -3 .... 2
Solve 1 and 2 simultaneously
x - 2y = -5 ... 1
3x-2y = -3 .... 2
From 1: x = -5 + 2y
Substitute into 2:
3(-5+2y) - 2y = -3
-15 + 6y - 2y = -3
-15 + 4y = -3
4y = -3 + 15
4y = 12
y = 3
Recall thet x = -5+2y
x = -5+2(3)
x = -5 + 6
x = 1
The sum of their ages will be x+y
x+y = 1+3
x+y = 4
Hence the sum of their ages now is 4years
help please. Find the measure of each angle
1. 139
2. 41
3. 139
4. 139
5. 41
6. 139
7. 41
below is the graph of f'(x) the derivative of f(x) and has x intercepts at x = -3 x = 1 x = 2 and a relative maximum at x = -1.5 and a relative minimum at x = 1.5. Which of the following statement is true?
Answer:
A
Step-by-step explanation:
Answer: A
Step-by-step explanation:
it makes the most sense anyways heres a bernie sanders meme cause its giving me life
HELP ASAP HELP NEEDED WILL MARK BRAINIEST
Answer:
No
Step-by-step explanation:
The height of the chair can be represented as a function of the height of table, if there is a constant variation between both heights. That is as one height increases, the other height decreases at the same proportion.
From the table, as the table height increases from 71 to 72 to 74 to 75, the chair height increases from 42 to 43 to 44 to 46. There is a direct variation but it is not constant. From 71 to 72, the height of table increases by 1 cm but from 74 to 75, the height increases by 2 cm.
Hence the height of the chair can not be represented as a function of the height of table
One quarter of my weekly allowance is $1500.
How much do I collect for allowance each year?
show working please
Answer:
312,000
Step-by-step explanation:
1500×4 (since the 1500 is only a quarter)
6,000 per week
6,000x52(since 52 weeks in a year)
312,000
A basketball player makes 145 out of 180 free throws. We would estimate the probability that the player makes the next throw to be
Find the value of 3_5
Answer:
The answer is 243.
Step-by-step explanation:
[tex] {3}^{5} \\ 3 \times 3 \times 3 \times 3 \times 3 \\ 9 \times 3 \times 3 \times 3 \\ 27 \times 3 \times 3 \\ 81 \times 3 \\ 243[/tex]
Your grandfather gave you $13.50 with which to buy a present. This covered 5/6 of the cost. How much did the present cost?
Answer:
Step-by-step explanation:
5/6 x = 13.50 Multiply both sides by 6
5x = 13.50 * 6
5x = 81 Divide by 5
x = 81/5
x = 16.2
-4x + 12 = -6x
Step 1: Add 4x to both sides:
12 = -6x + 4x
Step 2: Combine like terms:
12 = -2x
uh- this is the correct way to answer the problem....
−4x+12=−6x
Step 1: Add 6x to both sides.
−4x+12+6x=−6x+6x
2x+12=0
Step 2: Subtract 12 from both sides.
2x+12−12=0−12
2x=−12
Step 3: Divide both sides by 2.
[tex]\frac{2x}{2}[/tex] = [tex]\frac{-12}{2}[/tex]
x=−6
Two siblings are racing. The older sibling can run at a constant speed of 11 feet per second. The younger sibling can run at a constant speed of 7 feet per second. If the younger sibling is given a 32-foot head start in the race, how long will it take the older sibling to catch the younger sibling, and how far will the older sibling have run at that moment?(1 point)
The older sibling will catch the younger sibling after ___ second(s) and running___feet.
Answer:
8 seconds after running 88 feet
Step-by-step explanation: this is what it told me the answer was
Answer:
The older sibling will catch the younger sibling after 8 second(s) and running 88 feet.
Step-by-step explanation:
Older Sibling: 11ft 22ft 33ft 44ft 55ft 66ft 77ft 88ft
Younger Sibling: 32ft 39ft 46ft 53ft 60ft 67ft 74ft 81ft
The younger sibling started at 32ft because of the headstart. Each number was after 1 second. So this means it took 8 seconds for the older sibling to get to 88ft, and it took 8 seconds to get the younger sibling to 81ft.
I hope you can understand. :)
find the sum.
Please please please help me!!
Answer/ explanation:
3a + 4
a + b
Estimate the sum of 872 and 121 by rounding both values to the nearest hundred. What is the best estimate of the sum? 700 800 1,000 1,100
The answer is 1000
Step-by-step explanation:
Because 872 rounded is 900 and 121 rounded is 100 add 900 and 100 it's a thousand.
Solve the inequality
Answer:
P > 9
Step-by-step explanation:
22 x 9 would equal 198 also, but if you want it to be like in the equation where 22p is more than 198 it has to be more than 9. So if you were to substitute any number over 9 it would work.
Which linear equation is represented by the table?
x −2 1 3 6
y 7 4 2 −1
Answer:
help calll me daddy
Step-by-step explanation:
Choose all equations for which x=2 is a solution.
A:x+3=5
B:x+2=8
C:x+1=1
D:x-2=4
Ex-7=5-
60 is it rocking horse has a weight limit of 60 pounds what percentage of the weight limit is 114 pounds
Answer:
86.4
Step-by-step explanation:
Contemporain management
Answer:
This term denotes the modern techniques to administrating people in business organizations, government bodies, or non-profit organizations. The "contemporary" indicate the relation to the present and up-to-date trends in the sphere of management. It means that the person who is involved in contemporary management should be aware of the recent variations of the management theory and implement the changes in their organizations. Modern managers should be resilient and adaptive so that they are ready to incorporate the newest developments in practice.
Step-by-step explanation:
Other than that I don't know what you are asking for.
Determine whether the points on the line rise, fall, are horizontal, or vertical.
(2, -4) and (4, -1)
Answer:
The points rise.
Step-by-step explanation:
Points on a line have the following format: (x,y)
They rise if: As x increases, so does y.
They fall if: As x increases, y decreases.
They are horizontal if: As x increases, y remains constant.
They are vertical if: x is constant as y changes.
In this question:
Points (2,-4) and (4,-1).
x increases from 2 to 4.
y increases from -4 to -1.
That is, both increase, so the points rise.
Do anybody know which one is it thank you.
Answer:
Its 2/8
Step-by-step explanation:
2/8 simplified is 1/4
Answer:
The answer will be 2/8 because if you think about it 4/8 is 1/2 and 1/2 of 4/8 is 2/8 and since 1/2 4/8 is 2/4 which is actually 1/2 of 1/2 so that makes it 1/4 hope this helps!!
(to make it clear the answer is 2/8)
Simplify or solve the problems
1) 14a+2a=
2) 4x - 7 - 3 =0
3) 6x + 6 - =o
i got 90.50. does that seem right?
Step-by-step explanation:
90.50. as money if it is it would be $90.50
if as a number 9,050
Can somebody show me how to do this?
Answer: = 4x − 5x − 1 Hope this helped
Step-by-step explanation:
ANSWER THIS QUESTION RIGHT WHAT YOU NEED TO FIND THE ANSWER IS ON THE PHOTO The Figure below shows the graph of the function f(x) In the coordinate plane. Identify the following key features of the graph
Answer:
vertex: (0,3)
Axis of symmetry: x=0
y-intercept: (0,3)
x-intercept: n/a
min
A would be positive since the parabola opens at the top
Step-by-step explanation:
Solve 3a – 8= 5a + 12
Show your work. (please)
Answer:
a = - 10
Step-by-step explanation:
3a – 8 = 5a + 12
3a – 8 + 8 = 5a + 12 + 8
3a = 5a + 20
3a - 5a = 5a + 20 - 5a
- 2a = 20
[tex]\dfrac{-2a}{-2}=\dfrac{20}{-2}[/tex]
a = - 10
Is this positive trend or negative trend or no trend
Answer:
No trend
Step-by-step explanation:
In this scatter graph, all of the points are just scattered over a wide range. There's no real trend/correlation, so there's no trend.
Answer:
the answer is no trend bc ..
Step-by-step explanation:
the points are scatters and aren't in a specific pattern
Solve for x.
13(x-3) = 39
X=1
X=4
x=6
x=10
The dashed lines represent distances between players. Suppose that player 1 gets the ball from either player 2 or 3. The next move is for player 1 to pass the ball to either player 4 or player 5. Which of these two players (4 or 5) is closer to player 1? Justify your answer.
Answer:
4.
Step-by-step explanation:
1 is closer to 4 since onces you pass the ball to 3 it will go to four, and the number is 18.38ft but 5 is 24.50 ft
If the diameter of a circle is 7, what is the circumference of that circle? Show
your work and label your answer.
Answer:
21.98
Step-by-step explanation:
I found my answer by multiplying the given number by pi. Pi is 3.14 or 22/7. So, 7x3.14=21.98
Make sure to mark this brainliest! :D
Find the missing values in the equation below.
Line 1: 2/3 - 1/2 = 4/?-?/6
Line 2: / - / = ?/6
Answer:
[tex]\frac{2}{3} - \frac{1}{2} = \frac{4}{6} - \frac{3}{6}[/tex]
[tex]\frac{2}{3} - \frac{1}{2} = \frac{1}{6}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2}{3} - \frac{1}{2} = \frac{4}{?} - \frac{?}{6}[/tex]
[tex]/ - / = \frac{?}{6}[/tex]
Required
Fill in the gaps
For Line 1, convert both fraction to a denominator of 6.
This is shown below:
[tex]\frac{2}{3} - \frac{1}{2} = \frac{4}{?} - \frac{?}{6}[/tex]
[tex]\frac{2}{2}*\frac{2}{3} - \frac{1}{2} *\frac{3}{3}[/tex]
[tex]\frac{2*2}{2*3} - \frac{1*3}{2*3}[/tex]
[tex]\frac{4}{6} - \frac{3}{6}[/tex]
Hence:
[tex]\frac{2}{3} - \frac{1}{2} = \frac{4}{6} - \frac{3}{6}[/tex]
For Line 2;
We have:
[tex]\frac{2}{3} - \frac{1}{2} = \frac{4}{6} - \frac{3}{6}[/tex]
[tex]\frac{2}{3} - \frac{1}{2} = \frac{4-3}{6}[/tex]
[tex]\frac{2}{3} - \frac{1}{2} = \frac{1}{6}[/tex]
Julio says,”If you subtract 15 from my number and multiply the difference by -7,the results is -175.” What is Julio number
Answer:
Julio's number is 40.
Step-by-step explanation:
We need to reverse the operations Julio performed on his number. First, we divide -175 by -7, and we get 25. Then, we add 15 to that, giving us Julio's number of 40.
Hope this helps!
The personnel files of all eight employees at the Pawnee location of Acme Carpet Cleaners Inc. revealed that during the last six-month period they lost the following number of days due to illness:
3 1 0 0 2 11 5 3
All eight employees during the same period at the Chickpee location of Acme Carpets revealed they lost the following number of days due to illness:
3 6 8 4 4 5 3 1
a. Calculate the range, mean and mean deviations for the Pawnee location and the Chickpee location. (Round mean and mean deviation to 2 decimal places.) Pawnee location Chickpee location Range Mean
b. Based on the sample data, which location has fewer lost days?
c. Based on the sample data, which location has less variation?
Answer:
a) For Pawnee:
Range = 11, Mean = 3.13, Mean deviation = 2.44
For Chickpee:
Range = 7, Mean = 4.25, Mean deviation = 1.59
b) Pawnee Location has fewer lost days.
c) variation of the Chickpee is less than Pawnee location
Step-by-step explanation:
Data given:
For Pawnee:
3 1 0 0 2 11 5 3
Max = 11
Min = 0
Range = Max - Min
Range = 11-0 = 11
Range = 11
For Chickpee:
3 6 8 4 4 5 3 1
Max = 8
Min = 1
Range = Max - Min
Range = 8 - 1
Range = 7
For mean of Pawnee:
Mean = (3 + 1 + 0 + 0 + 2 + 11 + 5 + 3)/8
Mean = 25/8
Mean = 3.125
For mean deviation, we find the difference from the mean of each point.
Note: all the negative values will be taken as 0.
Differences from the mean of each point =
(3-3.13)=0.13, (1-3.31) = 2.13 ,
(0-3.13)=0, (0-3.13)=3.13,
(2-3.13)=1.13, (11-3.13)=7.87,
(5-3.13)=1.87, (3-3.13)=0.13
So, our differences are:
(0.13, 2.13, 0, 3.13, 1.13, 7.87, 1.87, 0.13 )
Mean deviation = Sum of all differences/8
Mean deviation = (0.13+2.13+3.13+3.13+ 1.13+ 7.87+ 1.87+ 0.13)/8
Mean deviation = 2.44
For mean of Chickpee:
Mean = (3+6+8+4+4+5+3+1)/8
Mean = 34/8
Mean = 4.25
Similarly, we need to find mean deviation for Chickpee, for that we need to find the differences first as done above for Pawnee.
Note: all the negative values will be taken as 0
Differences from the mean:
(3-4.25) = 1.25, (6-4.25) =1.75,
(8-4.25) = 3.75, (4-4.25)=0.25,
(4-4.25)=0.25, (5-4.25)= 0.75,
(3-4.25)=1.25, (1-4.25) =3.25
So, the differences are:
Differences = (1.25,1.75,3.75,0.25,0.25,0.75,1.25,3.25)
Mean deviation = (1.25+ 1.75+ 3.75+ 0.25+ 0.25+ 0.75+ 1.25+ 3.25)/8
Mean deviation = 1.59
b) which location has fewer lost days:
This can be found out by the total number of days of Pawnee and chickpee.
Pawnee = Sum of values = (3 + 1 + 0 + 0 + 2 + 11 + 5 + 3) = 25 days
Chickpee = Sum of values = (3+6+8+4+4+5+3+1) = 34 days
Hence, Pawnee Location has fewer lost days.
C) which location has less variation?
Formula for variation = ∑([tex]\frac{x^{2} }{8}[/tex]) - ([tex]mean^{2}[/tex])
where x = values of the set.
For Pawnee:
[tex]mean^{2}[/tex] = [tex]3.13^{2}[/tex] = 9.8
Sum of square of all the data points of Pawnee = 169
Variation = 169/8 - 98 = 11.325
Similarly,
For Chickpee:
[tex]mean^{2}[/tex] = [tex]4.25^{2}[/tex] = 18.06
Sum of square of all the data points of Chickpee = 176
Variation = 176/8 - 18.06
Variation = 22-18.06
Variation = 4
Hence, variation of the Chickpee is less than Pawnee location