Three girls, Laura, Tammy, and Jeri, can wash the family cars, clean the pool, and mow the lawn in one hour and 20 minutes. If Jeri did all the work, she would take twice as long as Tammy and 2 hours longer than Laura. How long would Tammy take to do the job alone?
3 hrs.
4 hrs.
6 hrs.
The number of hours that Tammy takes to do the job alone will be 4 hours. Then the correct option is B.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Three girls, Laura, Tammy, and Jeri, can wash the family cars, clean the pool, and mow the lawn in one hour and 20 minutes. If Jeri did all the work, she would take twice as long as Tammy and 2 hours longer than Laura.
The equations are given as,
T + J + L = 1 + 20/60
T + J + L = 1.333 ....1
J = 2T ....2
J = 2 + L ....3
The rate for Laura, Tammy, and Jeri will be given as,
Laura DATA:
Time = x hr/job ; Rate = 1/x job/hr
Jeri DATA:
Time = x+2 hr/job ; Rate = 1/(x+2) job/hr
Tammy DATA:
Time = (x+2)/2 hr/job ; Rate = 2/(x+2) job/hr.
Together DATA:
Time = 4/3 hr/job ; Rate = 3/4 job/hr
The equation is given as,
Rate + Rate + Rate = Together rate
1/x + 1/(x+2) + 2/(x+2) = 3/4
Multiply the equation by 4x(x+2) to get:
4(x+2) + 4x + 8x = 3x(x+2)
16x + 8 = 3x^2+6x
3x^2-10x-8 = 0
3x^2-12x+2x-8 = 0
3x(x-4)+2(x-4) = 0
(x-4)(3x+2) = 0
x = 4, - 2/3
The number of hours that Tammy takes to do the job alone will be 4 hours. Then the correct option is B.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
Phil is offered a 3-year contract with a law firm. His first year earnings would be $81,000 with an annual raise of 15%.
What would Phil's total earnings be over the term of the contract?
Enter your answer, rounded to two decimal places, in the box.
Phil is offered a 3-year contract with a law firm. His first-year earnings would be $81,000 with an annual raise of 15%. Phil's total earnings would be over the term of the contract is $281272.5.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
Phil is offered a 3-year contract with a law firm. His first-year earnings would be $81,000 with an annual raise of 15%.
First year
= $81000
Second year
1.15 x ($81000)
= $93150
Third year
1.15 x ($93150)
= $107122.50
Phil's total earnings would be over the term of the contract
= $81000 + $93150 + $107122.50
= 281272.5
Learn more about addition here;
https://brainly.com/question/545875
#SPJ2
x(t) = t^3 - 12t^2 + 36t
Velocity = x'(t) = 3y^3 - 24t + 36 = 0
x'(t) = t^2 - 8t + 12 = 0
x'(t) = t^2 - 6t - 2t + 12 = 0
x'(t) = t(t - 6) - 2(t - 6) = 0
x'(t) = (t - 2)(t - 6) = 0
t = 2 and t = 6 must be the roots.
Is my answer of D "2 and 6" correct based on this work?
Please pretty please help me fast
What is the probability that a randomly selected house with 2 bathrooms has 3 bedrooms?
0.2
0.4
0.6
0.8
[tex] |\Omega|=30\\
|A|=24\\\\
P(A)=\dfrac{24}{30}=\dfrac{4}{5}=0.8 [/tex]
Tracy can wallpaper 7 rooms in a new house in 21 hours. together with her trainee they can wallpaper the 7 rooms in 12 hours. how long would it take the trainee working by herself to do the job? round to the nearest tenth.
In how many ways can 4 blue flags 3 green flags and 2 flags be arranged
You can calculate the number of ways to arrange the flags using the formula for permutations of multi-sets. We substitute the quantities of each flag color into the formula, which yields our answer of 1260 ways to arrange the flags.
Explanation:The question is asking about permutations of different objects— in this case, flags of multiple colors. For such problem, you can use the formula for permutations of multiset:
P(n1, n2, ..., nk) = (n1 + n2 + ... + nk)! / (n1! * n2! * ... * nk!)
Where n1, n2, ..., nk represent the counts of each distinct item (in this case, flag colors).
For our flags, you would substitute n1=4 (blue flags), n2=3 (green flags), and n3=2 (red flags). Applying the formula gives us (4+3+2)! / (4!*3!*2!) = 9! / (4!*3!*2!) = 1260.
So, "there are 1260 ways to arrange 4 blue flags, 3 green flags and 2 red flags that the student has".
Learn more about Permutations here:https://brainly.com/question/23283166
#SPJ12
Select the equations that are equivalent to the equation y – 2 = 3(x + 6). Select all that apply.
y = 3x + 20
y = 3x + 6
2x - y = -3
3x - y = -20
How would I write #3
Y=|x| vertically stretched by a factor of 5
Lines that are not in the same plane are called _____ lines. A.perpendicular B.transversal C.skew D.parallel
Lines that are not in the same plane are called skew lines.
What is a line?"A line is a one-dimensional figure, which has length but no width. A line is made of a set of points which is extended in opposite directions infinitely."
Given, two lines are not in the same plane.
Here, perpendicular lines, transversal lines, and parallel lines should be in the same plane.
Two lines are called skew lines are two lines if they do not intersect and are not parallel.
Therefore, skew lines are not in the same plane.
Learn more about lines here: https://brainly.com/question/2506929
#SPJ2
what is the classification for this polynomial u^2v^3w?
A.) monomial
B.)binomial
C.)trinomial
The polynomial u^2v^3w is classified as a monomial because it consists of a single algebraic term. Monomials are polynomials with exactly one term, unlike binomials or trinomials which have two or three terms, respectively.
Explanation:The classification for the polynomial u^2v^3w is a monomial. A monomial is a single term algebraic expression with one or more variables raised to a non-negative integer power. Since u^2v^3w consists of a single term without a plus (+) or minus (-) sign connecting it to other terms, it is considered a monomial.
The classification of polynomials is based on the number of terms they contain:
Monomial: A polynomial with one term, such as 3x or -a^4b^2.Binomial: A polynomial with two terms, such as x + y or 3a - 7b.Trinomial: A polynomial with three terms, such as x^2 + 2x + 1 or a^3 - 3a^2b + 2ab^2.Knowing the classification of polynomials helps in understanding how to perform operations such as addition, subtraction, multiplication, and division with them.
Morgan uses 1/4 of her supply of raisins to make a trail mix and 3/8 of her supply of raisins to make cookies.If Morgan uses 5 pounds of raisins, how many pounds of raisins are in her supply.
You are looking at two different houses. house #1 would have a daily 5-mile commute to work, while house #2 would have a daily 20-mile commute. how much more co2 would you produce annually if you buy house #2? (hint: driving 1 mile produces 1.1 lb of co2 and you work 240 days/year.)
Answer:
B: 3960 lb
Step-by-step explanation:
vhslearning
Which table represents a direct variation function?
x y x y x y
-3 -4.5 -5.5 -3 -3 -7.5
-1 -3.0 -5.5 -1 -1 -2.5
2 -1.5 -5.5 2 2 5.0
5 0.0 -5.5 5 5 12.5
10 1.5 -5.5 10 10 25.0
x y
-5.5 10
-4.5 8
-3.5 6
-2.5 4
-1.5 2
The answer to this question is B Ed
The table that represents a direct variation function is
x y
-3 -7.5
-1 -2.5
2 5.0
5 12.5
10 25.0
How to determine the table?For a table to represents a direct variation, the following must be true
k = y/x
Where k represents the constant of variation
In table 3, we have:
k = 25.0/10 = 12.5/5 = 5.0/2 = -2.5/-1 = -7.5/-3
This gives
k = 2.5
The value of k is the same for all input and output values
Hence, the table that represents a direct variation function is the table 3
Read more about direct variation at:
https://brainly.com/question/6499629
If cosine x is approximately.9511 what is the measurement of x to the nearest degree? Approximately what is the sine of the angle that is complementary to x
Sin(x) = .2588 Given
ARCSin (x) = x = ARCSin(.2588) Using the calculator = 14.9988 degrees ( ~ 15 degrees)
COMPLIMENTARY angle is the angle which added to 'x' will equal 90 so the COMPLIMENTARY Angle is 75 degrees
Using the calculator again cos (75) = .2588 The same as the complimentary angle's SIN !!!
The recursive rule for a sequence is shown. an=an−1+7 a1=17 what is the explicit rule for this sequence?
The explicit rule for the sequence is [tex]a_n = 10 + 7n[/tex]
The recursive rule is given as:
[tex]a_n=a_{n-1}+7[/tex]
[tex]a_1 = 17[/tex]
The above shows that the sequence is an arithmetic sequence.
Start by calculating a2
We have:
[tex]a_n=a_{n-1}+7[/tex]
Substitute 2 for n
[tex]a_2=a_1+7[/tex]
This gives
[tex]a_2 = 17 + 7[/tex]
[tex]a_2 = 24[/tex]
So, we have:
a1=17
a2 = 24
The common difference (d) is:
d =a2 - a1
d = 24 - 17
d = 7
The explicit rule is then calculated as:
[tex]a_n = a_1 + (n - 1)d[/tex]
This gives
[tex]a_n = 17 + (n - 1) * 7[/tex]
Expand
[tex]a_n = 17 - 7 + 7n[/tex]
[tex]a_n = 10 + 7n[/tex]
Hence, the explicit rule for the sequence is [tex]a_n = 10 + 7n[/tex]
Read more about arithmetic sequence at:
https://brainly.com/question/6561461
A circle has a radius of 7.2 feet and a central angle aob that measures 112°. what is the area of sector aob? use 3.14 for pi and round your answer to the nearest tenth.
what is the volume of the cylinder?
radius=7 height=18
A.126
B.252
C.2268
D.882
Answer:
Option D. [tex]882\pi\ units^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the cylinder is equal to
[tex]V=\pi r^{2}h[/tex]
In this problem we have
[tex]r=7\ units[/tex]
[tex]h=18\ units[/tex]
substitute
[tex]V=\pi (7^{2})(18)=882\pi\ units^{3}[/tex] -----> exact value of the volume
Simplify the equation 7.5+N+9.63
Add 7.5+9.63 which would be 17.13
17.13+N
Three consecutive numbers that have a sum of 159. What are the numbers?
PLEASE HELP: Question above ☝☝☝
I'm actually pretty sure it's B
The Tran Family drove 1,246 miles during a vacation that lasted 14 days. How many miles on average did they drive each day? :3
The range of y=1x−2+3 is y=0.
true
false
Someone please help me?
In a certain state, each automobile license plate number consists of two letters followed by a four-digit number. to avoid confusion between "o" and zero and between "i" and one, the letters "o" and "i" are not used. how many distinct license plates can be formed in this state?
Help! WHAT IS THE VALUE OF X, and can you show how you got it please?
A girl scout sells 3 boxes of cookies during week 1. She has a goal to sell twice as many cookies each week as she did the week before. If she succeeds in doing this during weeks 2, 3, 4, and 5, how many boxes will she sell all together? a0
Simplify: (3 + 4i) + (2 - 3i) - (5 - 6i)
What are three consecutive odd integers that have a sum of 39?