If Mark and Doug work at the mall and their total number of combined hours was 13 more hours than Mark worked, The number of hours they work in total is 47 hours.
How to find the hours worked?Let x represent the time Doug worked
let 3x - 5 represent the number of hours Mark worked
Hence,
x + 3x - 5 = 3x -5 +13
4x-5=3x-5+13
4x-5=3x+8
Add 5 to both side
4x-5+5 =3x+8+5
simplify
4x =3x +13
subtract 3x from both side
4x -3x = 3x + 13 =3x
1x = 13
x =13/1
x =13 (Doug)
Hence,
3x -5 where x = 13
3 (13) -5
= 39 -5
= 34 hours (Mark)
Total hours
(Doug + Mark)
= 13 hours + 34 hours
= 47 hours
Therefore the total hours is 47 hours.
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Question
Use a number line to compare the following fractions: 4/3 7/6
The comparison is that:
4/3 is greater than 7/6 and 7/6 is less than 4/3
The fractions are given as:
4/3 and 7/6
See attachment for the number line that represents both fractions
From the number line. 4/3 is at the right of 7/6
This means that:
4/3 is greater than 7/6 and 7/6 is less than 4/3
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Find the interquartile range of the data. 4,6,4,2,9,1,12,7
Answer:
5
Step-by-step explanation:
1.) Order the numbers from least to greatest (1,2,4,4,6,7,9,12) then find the HIGHEST and LOWEST #.
2.) Find the number in the very middle, which would be 4 and 6. Since it's not one number, add them both together and divide by 2 (4+6=10, 10/2=5). This will be your MEDIAN.
3.) Similar to step 2, find the number in the middle of the median and lowest number. Ignore the median in this. Since it's 2 numbers again, add both together and divide by 2 (2+4=6, 6/2 = 3, making the first interquartile 3).
4.) Repeat step 3, but instead of finding the number in the middle of the median and lowest number, use the highest number instead of the lowest. Since this also happens to be 2 numbers, repeat the same step of adding the numbers and then dividing by 2 (7+9=16, 16/2=8, making the second interquartile 8).
5.) Now, subtract both interquartiles. This should give you your answer (5).
A mountain climber started at 150 feet below sea level. What would he need to climb to so that his starting spot and his ending spot were opposites?
Answer:
Your answer is 24.333.
Step-by-step explanation:
..If you round this, it would be 24 or 24.3. you get this answer by doing 3650 divided by 150.
What is the measure of ZBAC?
Step-by-step explanation:
50°+50°+θ=180°
θ=180°-100°
θ=80°
Answer:
80 or b....................................
Does the set of points represent a function? Explain.
Please help!
First phtoto is the answer options for all questons
Second image is the Questions
Answer:
M is (-7,3)
N is (0,1)
I think p is (4,0) but the option isn’t there so I must’ve done something wrong though I can’t find what-
A model rocket is launched with an initial upward velocity of 62/ms. The rocket's height h (in meters) after t seconds is given by the following.
h=62t-5t^2
Find all values of t for which the rocket's height is 29 meters.
Round your answer(s) to the nearest hundredth.
9514 1404 393
Answer:
t = 0.49, 11.91
Step-by-step explanation:
A graphing calculator can show you the answers quickly. The times are 0.49 seconds and 11.91 seconds.
__
We can write the equation as ...
h = 29
62t -5t^2 = 29 . . . . . substitute for h
-5(t^2 -12.4t) = 29
-5(t^2 -12.4t +6.2^2) = 29 -5(6.2^2) . . . . complete the square
-5(t -6.2)^2 = -163.2 . . . . . simplify
t -6.2 = ±√(-163.2/-5) = ±√32.64 . . . . divide by -5, take the square root
t = 6.2 ±5.71
t = 0.49, 11.91
The rocket has a height of 29 meters at t=0.49 seconds and t=11.91 seconds.
The first sequence rule is add 5 starting from 20. The second sequence rule is subtract 7 starting from 56. What is the first number that appears in both sequences?
25
28
42
35
Answer:
35
Step-by-step explanation:
its the 4th step your welcome
20-25-30-35
56-49-42-35
Answer: 35 I got it correct on the quiz
Step-by-step explanation:
Please help!
Which expression is equivalent to (1/2x+6)-(1/4x+2)?
A. 1/4 x - 4
B. 1/4 x + 4
C. 3/4 x - 4
D. 3/4 x + 4
Answer:
Choice B. 1/4 x + 4
Step-by-step explanation:
(1/2x+6)-(1/4x+2)
1/2x + 6 - 1/4x - 2
1/2 = 2/4
combine same values
1/4 x + 4
GIVING OUT BRAINLIEST TO WHOEVER CAN PROVIDE THE CORRECT ANSWER !! Asap
If I paid $2.50 in taxes on a $45 item, what percentage rate of taxes did I pay?
Answer:
47.05
Step-by-step explanation:
12345678910^#3:##;$$;$%#;#<÷&÷#7#;;^#
1) Find two positive consecutive integers that have a product of 30?
Answer:
{-6,-5} and {5,6}
Step-by-step explanation:
let me know if this is what you are looking for :)
hi I was going to ask may you help me on math assignments because I'm really struggling and I'm trying to get my grades up
Answer:
ok... i got all A's in math this year so far
Step-by-step explanation:
Sure, but I might get some wrong so don't blame me :)
HELPPPP!!!!! What is the value of y?
B
60
А
5
с
Enter your answer, as an exact value, in the box.
y =
Answer:
y = 8.66
Step-by-step explanation:
tan 60° = y/5
1.7321= y/5
y = 8.66
The length of a rectangle is 16 meters and the width is 3 meters. Find the area.
Answer:
16x3= 48 so the answer is 48m^2
The Smith family is building a deck that is 200 square feet in area. What are the
possible lengths and widths the deck could have?
$102 headphones, 7.5% tax
Answer:
You are correct the tax would be that
Step-by-step explanation:
The accompanying table shows the number of bacteria present in a certain culture over a 4 hour period, where x is the time, in hours, and y is the number of bacteria.Write an exponential regression equation for this set of data, rounding all coefficients to the nearest thousandth. Using this equation, determine the number of bacteria present after 11 hours, to the nearest whole number.
Answer:
3r1
The accompanying table shows the number of bacteria present in a certain culture over a 4 hour period, where x is the time, in hours, and y is the number of bacteria.Write an exponential regression equation for this set of data, rounding all coefficients to the nearest thousandth. Using this equation, determine the number of bacteria present after 11 hours, to the nearest whole number.
Answer: 7041 is the answer. I’m not sure how to explain. I took a lucky guess on my quizzez assignment and got it correct.
Help please I will give Brainliest to whoever answeres.
Answer:
area = 220.5 ft²
Step-by-step explanation:
2(Length) + 2(10.5) = 63 feet
2L + 21 = 63
subtract 21 from each side of the equation:
2L = 42
divide both sides by 2:
L = 21 feet
area = L x W = 21 x 10.5 = 220.5 ft²
Answer:
A = 220.5 ft
Step-by-step explanation:
[tex]2(Length) + 2(10.5) = 63 feet\\[/tex]
[tex]2L + 21 = 63\\[/tex]
[tex]63 - 21[/tex]
[tex]2L = 42[/tex]
[tex]42/2[/tex]
L = 21 feet
[tex]A=l * w[/tex]
[tex]21 x 10.5 = 220.5 ft^{2}[/tex]
Hope this helps
y = 4x + 8 when x = 3y
Answer:
-8/11
Step-by-step explanation:
what are you trying to isolate
The average winter snowfall for Syracuse, New York, for December, January, February is 27.5 inches per month. If Syracuse receives 24 inches of snow in December and 32 inches in Januar how much snow is required in February to exceed the 3 month average?
Answer: More than 26.5 inches
Step-by-step explanation:
Solve this equation :
[tex]\frac{32+24+x}{3} \geq 27.5[/tex]
x>26.5
A new shopping mall is considering setting up an information desk manned by one employee. Based upon information obtained from similar information desks, it is believed that people will arrive at the desk at a rate of 20 per hour. It takes an average of 2 minutes to answer a question. It is assumed that the arrivals follow a Poisson distribution and answer times are exponentially distributed. Assume that the information desk employee in Problem 1 earns $10 per hour. The cost of waiting time, in terms of customer unhappiness with the mall, is $12 per hour of time spent waiting in line. Find the total expected costs over an 8-hour day
Answer:
tsc = 8*1*10 = $80
twc = 8*20*0.0667*12 = $128.06
tc = 80 + 128.06 = $208.06
Step-by-step explanation:
To find the total expected costs for an 8 hour period, first you must find the total service costs (tsc) and the total waiting costs (twc) as the two costs are what make up the total cost (tc).
Total service cost = (the number of channels)(cost per channel)
tsc = m*Cs
There is only 1 employee so the number of channels is 1.
The cost for this channel is $10 per hour, so 10 * 8 hours in the day.
Total waiting cost = (total time spent waiting by all arrivals)(cost of waiting)
twc = (number of arrivals)(average wait per arrival) Cw
The number arrivals is at the rate of 20 per hour.
The average wait per arrival was found as Wq previously.
Wq = 20/(30*(30-20)) = 0.0667 hours
The cost of waiting (Cw) is the $12 per hour multiplied by the 8 hour day.
Total Expected Cost for an 8 hour day is the sum of the total service cost plus the total waiting cost.
Start with x2 - 6x + 8 = 0 and complete the square, what is the equivalent equation?
es -))
A)
(x + 3)2 = 1
B)
(x+3)2 = 9
C)
(x - 3)2 = 1
D)
(x-3)=9
What is the starting term of 64?
Answer:
1
Step-by-step explanation:
One is the starting term
1, 2, 4, 8, 16, 32, 64, 128, 256,
Find the a. Median b. Median c. Mode and d. Range of the following scores 60, 70, 90, 70, 80, 65, 95, 80, 100, 60
Answer:
median-75
mode-70
range-40
mean-77
Step-by-step explanation:
the answer to this question
Answer:
3
Step-by-step explanation:
help lol the last answer choice is y=5/3x-10
Answer:
C
Step-by-step explanation:
help please, asap. i need this done
Answer:
30
Step-by-step explanation:
24/4=6
42/7=6
6 x 5=30
PLS HELP WILL GIVE BRAINLIEST
Malcolm's net worth is $3,475. His liabilities are $7,650.
What is the total
value of his assets?
A.) 3,475
B.) 7,640
C.) 10,005
D.) 11,115
The solution is, D.) 11,115 is the total value of his assets.
What is addition?Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.
here, we have,
given that,
Malcolm's net worth is $3,475.
His liabilities are $7,650.
now, we have,
the total value of his assets is:
we just have to add them.
$3,475 + $7,650
=11125
Hence, The solution is, D.) 11,115 is the total value of his assets.
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Guys please i need help in this question, whoever gets it right will get a brainliest
dont pay attention to the bots responding with links, there not the answers
Answer:
14- 1/5
15- 9/20
16- 11/20
Step-by-step explanation: