1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Akimi4 [234]
3 years ago
12

If a salesman averages a new order every other week, he will break the office record for the year. However, after 28 weeks he is

four orders behind schedule. In what proportion of the remaining weeks does he have to obtain a new order to break the record?
Mathematics
1 answer:
Marina CMI [18]3 years ago
7 0

Answer:

2/3

Step-by-step explanation:

In a year, we have 52 weeks.

Since he is supposed to have a new order for every two weeks, he needs 52/2 = 26 orders to break the company record.

After 28 weeks, he has got only 28/2 = 14 orders.

He is 4 orders behind. So he has done 14 - 4 = 10 orders.

The sales man needs 26 - 10 = 16 more orders .

Although 28 weeks is gone, we have 52 - 28 = 24 weeks left.

If he needs to make 16 sales in 24 weeks, the proportion is 16/24 = 2/3

He needs to make 2 sales every week to break the record

You might be interested in
A storekeeper has two kinds of flour, one selling for 65 cents per pound, and the other selling for 95 cents per pound. How many
Murrr4er [49]

Answer:

The amount of 65 cents per pound flour to use is 40 pounds and the amount of 95 cents per pound flour to use is 60 pounds

Step-by-step explanation:

Let

x ----> amount of 65 cents per pound flour to use

y----> amount of 95 cents per pound flour to use

we know that

x+y=100 ----> y=100-x ----> equation A

0.65x+0.95y=0.83(100) ----> equation B

substitute equation A in equation B

0.65x+0.95(100-x)=0.83(100)

Solve for x

0.65x+95-0.95x=83

0.95-0.65x=95-83

0.30x=12

x=40\ lb

Find the value of y

y=100-40=60\ lb

therefore

The amount of 65 cents per pound flour to use is 40 pounds and the amount of 95 cents per pound flour to use is 60 pounds

4 0
3 years ago
Read 2 more answers
Write down the quadratic equation whose roots are $x = -7$ and $x = 1,$ and the coefficient of $x^2$ is 1. Enter your answer in
pav-90 [236]
<h2>Steps:</h2>

So firstly, since we know that the coefficient of x² is 1, this means that this is our base equation:

y = x² + bx + c

Now, since we know that the roots are -7 and 1, set y = 0 and set x = -7 and 1 and simplify:

0=(-7)^2+b(-7)+c\\0=49-7b+c\\-49=-7b+c\\\\0=1^2+b(1)+c\\0=1+b+c\\-1=b+c\\\\-49=-7b+c\\-1=b+c

Now with this, we can set up a system of equations to solve for b and c. For this, I will be using the elimination method. For this, subtract the 2 equations:

\begin{alignedat}{2}-49&=-7b+c\\-(-1&=b+c)\\-48&=-8b\end{alignedat}

Now that the c variable has been eliminated we can solve for b. For this, divide both sides by -8 and your first part of your answer is b = 6.

Now that we know the value of b, plug it into either equation to solve for c:

-49=-7(6)+c\\-49=-42+c\\-7=c\\\\-1=6+c\\-7=c

<h2>Answer:</h2>

<u>Putting it together, your final answer is x² + 6x - 7 = 0.</u>

4 0
3 years ago
How many 2/3 pounds are in a sixth of a pound?
mote1985 [20]
None. ⅔ is greater than 1/6 but ⅔ equals 2 x (1/6).
Basically one half of ⅔ equals 1/6
6 0
3 years ago
A bag contains nine red balls, four green balls, and fifteen yellow balls. What is the probability of
dmitriy555 [2]

Answer:

8

Step-by-step explanation:

When you subtract the 9-1=8

6 0
3 years ago
Can someone help a girl out?
OleMash [197]
U just need to turn the diagram to the way you can understand it

4 0
2 years ago
Other questions:
  • Someone help me please
    12·2 answers
  • Can someone help me with this question???<br><br><br><br> AND SHOW WORK!!!
    11·1 answer
  • What is the value of 3 to the power 2 over 3 to the power 4
    15·2 answers
  • Solve for x and y<br><br><br><br> Please help!!!
    15·1 answer
  • What is the missing length?
    10·1 answer
  • Dr.Lamb is mixing a solution for his next patient. He has a cylindrical test tube which is 4 inches across on the inside. The de
    14·1 answer
  • What is the perimeter of the fifth square in this pattern?
    15·1 answer
  • Please help me its on the image please
    15·1 answer
  • Which of the following proportions could be used to convert 6 days to hours?
    11·2 answers
  • What percentage of its total accounts receivable does grainger feel are uncollectible at december 31, 2016?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!