lisa an experienced shipping clerk, can fill a certain order in 7 hours. bill, a new clerk, needs
8 hours to do the same job. Working together, how long will it take them to fill the order?
Answers
Answer:
3.73 hours
Explanation:
In 1 hour, Lisa does 1/7th of the order while Bill does 1/8th of the order in an hour. To find out how long it will take them to fill the order, we have to:
Step 1:
Add the rate of both Lisa and Bill together
1/7 + 1/8
Step 2:
Since both denominators of the fractions are different, you have to find the least common multiple of 7 and 8
7·8= 56 8·7= 56
which is 56.
Step 3:
Then, you have to multiply the numerator of 1/7 with 8 and the numerator of 1/8 with 7.
1·8= 8 1·7= 7
The fractions would now have equal denominators:
Lisa: 8/56 Bill: 7/56
Step 4:
Now, you can add them together
8/56 + 7/56
which equals to 15/56. Both Lisa and Bill together completes 15/56th of the order in 1 hour.
Step 5:
15/56 is not the final answer as it is the RATE of them working together. To find how long it will take them total to complete the order, you must divide 56 with 15.
56/15
which is 3.73 hours in decimal form (rounded).
Related Questions
A neighborhood is trying to set up school carpools, but they need to determine the number of students who need to travel to the elementary school (ages 5-10), the middle school (ages 11-13), and the high school (ages 14-18). A histogram summarizes their findings:
Histogram titled Carpool, with Number of Children on the y axis and Age Groups on the x axis. Bar 1 is 5 to 10 years old and has a value of 3. Bar 2 is 11 to 13 years old and has a value of 7. Bar 3 is 14 to 18 years old and has a value of 4.
Which of the following data sets is represented in the histogram?
{3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4}
{5, 10, 4, 11, 12, 13, 12, 13, 12, 11, 14, 14, 19, 18}
{5, 6, 5, 11, 12, 13, 12, 13, 14, 15, 11, 18, 17, 13}
{3, 5, 10, 11, 13, 7, 18, 14, 4}
Answers
The correct answer is that the data set {3, 7, 4} is represented in the given histogram.(option-a)
The given histogram represents the number of children in each age group who need to travel to school. Since the histogram has only three bars, we can conclude that there are only three age groups.
The first bar represents children aged 5-10, of which there are 3. The second bar represents children aged 11-13, of which there are 7. The third bar represents children aged 14-18, of which there are 4.
Therefore, the data set that is represented in the histogram is:
{3, 7, 4}
None of the other data sets given match the values in the histogram. The first data set has duplicate values and is not sorted by age group. The second data set includes ages that are not represented in the histogram. The third data set has values for ages 6, 11, 12, 13, 14, 15, 17, and 18, but the histogram does not have bars for all those ages. (option-a)
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Imagine that you are an engineer for a soda company, and you are tasked with finding the most economical shape for its aluminum cans You are given a set of constraints: the can must hold a volume of liquid and be a cylindrical shape of height hand radius r, and you need to minimize the cost of the metal required to make the can
Look at a variety of aluminum cans of different sizes from the supermarket. Which models from problems a–c best approximate the shapes of the cans? Are the cans actually perfect cylinders? Are there other assumptions about the manufacture of the cans that we should take into account? Do a little bit of research, and write a one-page response to answer some of these questions by comparing our models to the actual dimensions used.
Answers
Answer:
The answer to that depends on the company
Step-by-step explanation:
Graph the line with the given slope that passes through the given point.
(a) slope: 2 point: (1, 3)
Answers
Answer:
y= 2x + 3/2
Step-by-step explanation:
First, place a point on (1,3).
Since slope is rise/run, move your pencil up 2 units and to the right one. Place a point there. Repeat until you reach your desired length.
Bigco Corporation is one of the nation’s leading distributors of food and related products to restaurants, universities, hotels, and other customers. A simplified version of its recent income statement contained the following items (in millions).
Cost of sales $ 11,571
Income taxes 249
Interest expense 23
Net earnings 1,442
Sales 16,400
Earnings before income taxes 1,691
Selling, general, and administration expense 3,543
Other revenues 428
Total expenses (excluding income taxes) 15,137
Total revenues 16,828
Prepare an income statement for the year ended June 30, current year. (Hint: First order the items as they would appear on the income statement and then confirm the values of the subtotals and totals.)
Answers
Step-by-step explanation:
I hope this answer is helpful ):
whats the answer?
and how did I get my answer?
Answers
Answer:
40°
Step-by-step explanation:
Angle 1 and Angle 2 are corresponding angles.
Corresponding angles are congruent, so 3x + 4 = 5x - 20
Solving 3x + 4 = 5x - 20
3x = 5x - 24
2x = 24
x = 12
Substitute angle 1
3x + 4 = 36 + 4 = 40
translate in terms of x then solve the algebra equation the sum of a number and 3 is subtracted from 10 the result is 5
Answers
Answer:
x=2
Step-by-step explanation:
10 - (x + 3) = 5
To solve for x, we can start by simplifying the left side of the equation:
10 - (x + 3) = 5
10 - x - 3 = 5
7 - x = 5
Next, we can isolate x on one side of the equation by subtracting 7 from both sides:
7 - x = 5
7 - x - 7 = 5 - 7
-x = -2
Finally, we can solve for x by dividing both sides of the equation by -1:
-x = -2
x = 2
Therefore, the solution to the equation is x = 2.
What is the point-slope form of equation of the line that passes through the point (-1, -4) and has a slope of 3?
Answers
Answer:
y - (-4) = 3(x - (-1)
Step-by-step explanation:
Answer:
y−4=−3(x+1)
Step-by-step explanation:
Which table represents a linear function?
Answers
Help please
18x^8 y^5 \ 2x^5 Y
Answers
Answer:
9x^3y^4
Step-by-step explanation:
18x^3y^4
/
2
What is the equation of the following line?
Answers
Answer:
E
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
slope = rise / run = 7 / 1 = 7
m = 7
y-intercept = 0
So:
y = 7x + 0
y = 7x
Simplify this equation!!! I need help asap!!! Posts test!!!
Answers
Answer:
Step-by-step explanation:
the answer is D
Answer:
D. 5¹⁵ is the correct answer.
What is the zero of the function?
f(x)=x2−x−6/x2−8x+15
Answers
Rational Function: any function that is found by a rational fraction.
Its form: \(\frac{1}{x}\)
Finding Zeros of a Rational Function:
Factor Numerator and denominator
\(f(x)=\frac{(x-3)(x+2)}{(x-5)(x-3)}\)
2. Find restrictions by equating the denominator to 0
\(x-5=0\) \(x-3=0\) when x=-5 and 3, the function is undefined
\(x=-5\) \(x=3\)
3. Set the numerator equal to zero
\(x-3=0\) \(x+2=0\)
\(x=3\) \(x=-2\)
Be careful - since we have x-3 on both the numerator and denominator the graph will not intersect the x-axis at that point. This is what is called a removable discontinuity.
Therefore, the only zero occurs at (-2,0)
Listed below is a table showing the number of employees. 20 years or older by gender in the United states
Answers
The total number of workers that were studied can be found to be 139,340,000.
The percent of workers unemployed would be 5. 4 %.
Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.
How to find the employment figures ?Number of employed workers :
= 74,624,000 + 64, 716, 000
= 139,340,000
Percentage unemployed :
= ( 4, 209,000 + 3,314,000 ) / 139,340,000
= 5. 4 %
Percentage of unemployed men :
= 4,209,000 / 74,624,000
= 5.6 %
Percentage of unemployed women:
= 3,314,000 / 64, 716, 000
= 5. 1 %
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The full question is:
a. How many workers were studied?
b. What percent of the workers were unemployed?
c. Compare the percent unemployed for the men and the women.
-7 + 5
Explain Thank you
Answers
Answer:
-7 + 5 = -2
Step-by-step explanation:
Basically, this equation can be thought of as 5 - 7, which would equal -2.
For what value of b, would the equation 34(12x−9)+b4=5−3(2−3x) have infinitely many solutions?
Answers
Answer:
Yes.
Step-by-step explanation:
Because.
Answer:
23
Step-by-step explanation:
3x+4
12. Simplify +
x+2
x²+2x
2x+4
Answers
Answer:
\(\dfrac{x^2+8x+8}{2x+4}\\\\\)
Step-by-step explanation:
Simplify:
\(\dfrac{3x + 4}{x +2}+\dfrac{x^2+2x}{2x+ 4}\)
Multiply the denominator and the numerator of the first term by 2,
\(=\dfrac{2*(3x +4)}{2*(x+ 2)}+\dfrac{x^2+2x}{2x+4}\\\\\\=\dfrac{2*3x+2*8}{2*x +2*2}+\dfrac{x^2+2x}{2x+4}\\\\\\=\dfrac{6x+8}{2x+4}+\dfrac{x^2+2x}{2x+4}\)
\(\sf = \dfrac{6x+8+x^2+2x}{2x+4}\\\\\text{\bf Combine like terms,}\\\\=\dfrac{x^2+8x+8}{2x+4}\\\\\)
Your cell phone plan costs $29.99 per month plus $0.15 for each text message you send or receive. You have at most $35 to spend on your cell phone bill. What is the maximum number of text messages that you can send or receive next month?
Answers
33 text messages
35 - 29.99 = 5.01
5.01 / 0.15 = 33.4
Why is the diameter the longest chord
Answers
34.6°C =°F (round the answer to the nearest tenth).
● 4.7
● 32.3
● 30.3
● 94.3
● None are correct
Answers
Answer:
94.3/C
Step-by-step explanation:
Hope this helps!
What is the equation of the line that passes through the point (3,6) and has a slope of 4/3
Answers
Answer:
y = 4/3x+2
Step-by-step explanation:
We can use the slope intercept form of the equation
y = mx+b
Where m is the slope and b is the y intercept
y= 4/3 x +b
Substitute the point into the equation
6 = 4/3(3) +b
6 = 4 +b
Subtract 4 from each side
2 = b
y = 4/3x+2
What is the common denominator of 3/4 and5/8
Answers
Answer:
the common demonator is 8.
Step-by-step explanation:
What is the slope of the line that passes through the points (-9,-5) and (-1,-9)?
Write your answer in simplest form.
Answers
Answer:-1/2 or -0.5
Step-by-step explanation:
m= y2-y1/x2-x1
m= -9-(-5)/-1-(-9)
m=-9+5/-1+9
m=-4/8
m= -1/2 or -.5
Find the slope in each line
Answers
2 What is the GCF of y2(y + 1) and y(y + 2)?
Answers
Answer:
the answer is Y
Step-by-step explanation:
The greatest common factor (GCF) of two polynomial expressions is y.
The greatest common factor (GCF) of two polynomial expressions is the polynomial with the largest set of factors that is a factor of both polynomials.
To find the GCF of y2(y + 1) and y(y + 2), we can factor each polynomial:
y2(y + 1) = y(y)(y + 1)
y(y + 2) = y(y + 2)
The only factor that both polynomials have in common is y, so the GCF is y.
Here is the solution in more detail:
Factor each polynomial.
y2(y + 1) = y(y)(y + 1)
y(y + 2) = y(y + 2)
Find the factors that are common to both polynomials.
The only factor that both polynomials have in common is y.
The GCF is the polynomial with the largest set of factors that is a factor of both polynomials.
The GCF is y.
Therefore, the GCF of y2(y + 1) and y(y + 2) is y.
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Hernandez Engineering borrows $5,500, at
6 1/2%
interest, for 120 days. If the bank uses the ordinary interest method, how much interest (in $) will the bank collect? (Round your answer to the nearest cent.)
Answers
The answer interest the bank will collect will be $117.53 using simple interest
What is simple interest?
A quick and simple way to figure out interest on money is to use the simple interest technique, which adds interest at the same rate for each time cycle and always to the initial principal amount. Any bank where we deposit our funds will pay us interest on our investment. One of the different types of interest charged by banks is simple interest. Now, before exploring the idea of basic curiosity in further detail,
The formula for simple interest is:
S = p*t*r/100
where P is the principal amount of money, R is the interest rate as a decimal, T is the time.
We know the principal amount is $5500, the interest rate is 6 1/2%, and the time is 120/365 years.
So simple interest will be = $117.53
Hence the interest the bank will collect will be $117.53
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please help me with this question :)
Answers
Step-by-step explanation:
if you brought this in here correctly, oh, it is a real mystery !
common sense ! we need common sense !
what can I add to e.g. 15 to still keep the 15 ?
this works with any other number as well.
e.g. 1
I have 1.
how much can I add to 1 to still have 1 afterwards ?
1+? = 1
? = 0
right. there is no other solution, as there are also no miracles in math.
whatever is added, is then added. to remain unchanged we can only add 0.
so,
15 + something = 15 can only be true, if that something is 0.
something = |3x|
that means the absolute value of 3x, which will always be +3x even for negative x.
but it does not matter.
|3x| = 0 (has to be 0 to make the main statement true).
therefore, 3x = 0
therefore, x = 0.
so, they're is only one dot (a filled dot) at precisely 0 in the graph that makes this a true statement.
Assigned Media
Use integers to represent the values in the following statement.
Jon Applebee deposited $619 in his savings account. He later withdrew $230.
The integer that represents the amount Jon Applebee deposited is
Answers
Answer:
Jon Applebe withdrew 37.15% of the amount he initially deposited.
Step-by-step explanation:
Given that Jon Applebee deposited $ 619 in his savings account, and I have later withdrew $ 230, to determine the integer that represents the amount Jon Applebee deposited the following calculation must be performed:
619 = 100
230 = X
230 x 100/619 = X
23,000 / 619 = X
37.15 = X
Therefore, Jon Applebe withdrew 37.15% of the amount he initially deposited.
Integer rules:
When adding Integers with the same sign you
Add,subtract,multiply
them and keep the sign.
When adding integers with different signs you
Add,subtract,multiply
them and keep the sign of the bigger number.
To make subtracting integers easler, you can change all subtraction problems to
Word,multiplication,addition
problems.
Answers
Find m angle c 14.5in 97.5 degrees and 13.7in (please solve step for step pleasee )
Answers
Based on law of sine, the value of angle C is equal to 94.5 degree.
For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,
we have, by law of sines,
\(\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}\)
\(\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}\)
we have, by law of sines,
We will use the law of sines to find c as;
sin c sin 97.5
--------------- = -------------
14.5 13.7
(13.7)sin c= 14.5 sin 97.5
sin c = 14.5 sin 97.5 / (13.7)
sin c = - 0.1168
Angle c = 94.5
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Factor 48-6 using GCF
Answers
Answer:
I think the answer is six i just searched it or it could be 12
Step-by-step explanation:
The greatest common factor (GCF) of 48 and 6 is 6, so:
48 - 6 = 42.
this isn't college level *laugh*