Seas and Colleen are raking leaves in their yard. Working together they can clear the yard of leaves in 24 minutes. What kind of long it would take Sean 20 minutes longer to clear the yard dinner with Colleen working alone
Answer:
Colleen alone to clear the yard of leaves in 40 minutes
Step-by-step explanation:
P.S - The exact question is -
Given - Seas and Colleen are raking leaves in their yard. Working together they can clear the yard of leaves in 24 minutes. What kind of long it would take Sean 20 minutes longer to clear the yard dinner with Colleen working alone
To find - When c is the number of minutes it would take Colleen to finish the job when working alone, the situation is modeled by this rational equation: How long would it take Colleen alone to clear the yard of leaves?
Proof -
Given that the equation is -
[tex]\frac{1}{c} + \frac{1}{c+20} = \frac{1}{24} \\\frac{c + 20 + c}{c(c+20)} = \frac{1}{24}\\\frac{2c + 20}{c^{2} +20c} = \frac{1}{24}\\24(2c + 20) = c^{2} +20c\\48c + 480 = c^{2} +20c\\28c + 480 = c^{2}\\c^{2} - 28c - 480 = 0\\c^{2} - 40c + 12c - 480 = 0\\c(c - 40) + 12(c - 40) = 0\\(c+12)(c-40) = 0\\c = -12, 40[/tex]
As time can not be negative
So,
we get
c = 40 minutes
∴ we get
Colleen alone to clear the yard of leaves in 40 minutes
If A =
( 8 10 -6)
(-8 -10 7)
( 2 -2 -2)
and B =
( 5 1 9)
(-9 -8 10)
(-10 6 -2),
find -7A + 3B
9514 1404 393
Answer:
see below
Step-by-step explanation:
Carry out the math element by element. For example, ...
c11 = -7a11 +3b11
c11 = -7(8) +3(5) = -41
_____
Additional comment
Matrix operations like this one are easily handled by all spreadsheets and most graphing calculators. Some scientific calculators support matrix operations as well.
What is the measured of bacteria at t=0?
Answer:
Number of bacteria when t = 0 is 2,000
Step-by-step explanation:
Given:
Number of bacteria in a culture by equation
Q(t) = 2(729^t)
Value of t = 0
where t is number of hours
Find:
Number of bacteria when t = 0
Computation:
Given equation
Q(t) = 2(729^t)
Put t = 0
Q(0) = 2(729⁰)
We know that;
a⁰ = 1
So,
Q(0) = 2(729⁰)
Q(0) = 2(1)
Q(0) = 2
Number of bacteria when t = 0 is 2,000
Which quantity is unknown
Answer:
The price of each book without sales tax
Step-by-step explanation:
Multiplying Integers
-5(-2)=
Answer:
10
Step-by-step explanation:
Hope this helps
Answer:
10
Step-by-step explanation:
-5(-2)
negative times negative in multipling and divding the answer is always a positive
125 a la octava potencia?
please lo necesito
find the least whole number which must be added to 207 to make it divisible by 17 please no links brainliest
Answer:
14
Step-by-step explanation:
I am preatty sure its 14 hope this helps
Find the value of x.
6
14
3x-12
21
x = [?]
Enter
Answer:
x = 7
Step-by-step explanation:
Based on the angle bisector theorem, we would have the following equation:
21/(3x - 12) = 14/6
21/(3x - 12) = 7/3
Cross multiply
(3x - 12)*7 = 3*21
21x - 84 = 63
21x - 84 + 84 = 63 + 84
21x = 147
21x/21 = 147/21
x = 7
a net shows faces and helps you find surface area
Answer:
Correct
Step-by-step explanation:
need help ASAP
DONT PUT LINK! I will REPORT YOU
the answer that you're looking for is 5.5 or 5 1/2, it's the same thing.
18-2g=4g
Simplify !!!
Needs help with this question ASAP
Ben is taking a typing class, and the following line graph represents the number of words per minute he was able to type each week. According to the graph, how many more words per mioute could Ben type in week four than in week 2?
A. 20
B. 15
C. 10
D. 5
find the length please help
What's the mean of data set 15, 17, 23, 19,
Step-by-step explanation:
15 + 17 + 23 + 19
32 + 42 = 74
74/4 = 18.5 is the mean
Answer:
Mean= 18.5
Step-by-step explanation:
How to Find the Mean
Add up all data values to get the sum
Count the number of values in your data set
Divide the sum by the count
The mean is the same as the average value in a data set.
Mean Formula
The mean x of a data set is the sum of all the data divided by the count n.
what is the total area of the shape below
Answer:
480 ft
Step-by-step explanation:
I need work to be shown
Step-by-step explanation:
I am sure you are 100 percent Clear.
Thanks.
plz help i need to know 94=10a-7 and 7k+10=31
Answer:
a=10.1
k=3
Step-by-step explanation:
Lets solve the first equation first.
94=10a-7
Lets add 7 to both sides.
101=10a
Divide both sides by 10 to isolate a
101/10=a
a=10.1
Lets do the second equation.
7k+10=31
Subtract 10 from both sides
7k=21
Divide 7 by both sides to isolate k
k=3
HELPPPLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
It is C. 42 oz
--------
what is the Estimate of 3583.37
Answer: 3583.37 ≈ 3500
Step-by-step explanation:
c) 25 + (-10) – 3 x [2 – (-2)]
Answer:
3
Step-by-step explanation:
25 - 10 -3 × [2-(-2)]
25 - 10 -3 × (2+2)
25 - 10 -3 × 4
25 - 10 - 12
3
Answer:
i don't really know if it's correct 25-10-6x-2x
15-8x
How do I ask questions?
2+2=?
Answer:
u just asked 2 questions so..... you typed them? i really dont understand ur question but 2 + 2 =
Step-by-step explanation:
loll
Answer: you just did
Step-by-step explanation:
you just sked a question
2+2=fish
2+2=4
Is the sequence arithmetic? If so, identify the common difference.
13, 20, 27. 34, ...
Answer:
the common difference is = 7
Step-by-step explanation:
1st term is 13
2nd term is 20
d = 2nd -1st
d= 20-13
d= 7
Answer:
Yes . It is arithmetic & the common difference of them is 7 .
Step-by-step explanation:
Hope this helps ;)
What is the value of x ?
Answer:
x= - square root 141 or x= square root 141
1/4 / (17 + 4)
What’s 1/4 divided by (17+4)
Answer:
0.0119047619
Step-by-step explanation:
Answer:
21/4
Step-by-step explanation:
1/4 ÷ (17 + 4)
1/4 ÷ (21)
21 × 1/4 = 21/4
-TheUnknownScientist
Shelly bought a dozen pens for $144.
(a) Find the cost of 15 such pens.
(b) How many pens can be bought
for $84?
Answer:
A. 180
b. 7
Step-by-step explanation:
Answer:
a. $180
b. $7
Step-by-step explanation:
In order to easily find the cost of x amount of pens, first find the unit price:
The unit price is the price for 1 of somethingTo find how much 1 pen is, divide 144 ÷ 12 (1 dozen = 12)144 ÷ 12 = 121 pen = $12Part A - Find the cost of 15 pens:
Since we've just found the price of 1 pen, multiply the price by 1512 × 15 = $18015 pens cost $180 (outrageous!)Part B - How many pens can be bought for $84?:
Since we know the cost of 1 pen is $12, we can work backwards on this stepTo find the amount of pens that can be bought with $84, divide 84 ÷ 1284 ÷ 12 = 77 pens can be boughtplss heeelppppppppppppppp
Answer: I believe its all of them...
Step-by-step explanation:
Answer:
that is a trapezoid.if it were a rectangle it would have four sides but not equal if it was a square it would have four sides but equal.a parallelogram it would be seen somehow slopy and a rhombus too.so that is a trapezoid.
6.
Ethan's middle finger is 10.6cm long. His ring finger is
9mm shorter. How long is his ring finger in centimetres?
Answer:
9.7 m
Step-by-step explanation:
Your answer is 9.7cm
Scores on the GRE (Graduate Record Examination) are normally distributed with a mean of 573 and a standard deviation of 84. Use the 68-95-99.7 Rule to find the percentage of people taking the test who score between 489 and 573
The percentage of people taking the test who score between 489 and 573 is
Answer:
The percentage of people taking the test who score between 489 and 573 is 34%.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 573, standard deviation of 84
Percentage of people taking the test who score between 489 and 573
The mean is 573.
489 = 573 - 84, which means that 489 is one standard deviation below the mean.
The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are below the mean.
So between one standard deviation below the mean and the mean, the percentage is 68/2 = 34%
The percentage of people taking the test who score between 489 and 573 is 34%.
Choose the ratio in simplest form. 8:2
Answer:
4:1
Step-by-step explanation: