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
fenix001 [56]
3 years ago
10

A saleswomen sells a dried fruit mixture for $5.7 per pound and nuts for $14.55 per pound. She wants to blend the two to get a 1

0 pound mixture that she will sell for $9.24 per pound. How much should she use?
to get a 10 pound mixture she should use __ lb of fruit mixture and __ lb of nuts.
Mathematics
1 answer:
katen-ka-za [31]3 years ago
6 0
Let the fruit mixture of $5.7 per pound be for x pounds.

The nut of $14.55 per pound would then be:   (10 -x).

Since the total blend of both = 10 pounds, selling for $9.24 per pound.

cost of 1st type + cost of second type = Total cost of blend mixture

5.7*x  +    14.55*(10 - x) = 9.24*10

5.7x + 145.5 - 14.55x = 92.4

5.7x - 14.55x = 92.4 - 145.5

-8.85x = -53.1

x =  -53.1/-8.85

x = 6

The other  will be (10 -x) = 10 - 6 = 4.  

She should use 6 lb of fruit mixture and 4 lb of nuts. 
You might be interested in
Theresa’s computer at home has 1 terabyte of storage. How many more bits of storage does her computer have than the combined bit
posledela

Answer:

Not enough information provided

Step-by-step explanation:

To find the difference between one terabyte and the storage available to the other mediums, we would need to know the storage available to those mediums.  They can all have potentially different amounts of storage space, so we have no way to answer that part of the question.

We can however find out how many bits her computer has.  There are two lines of thought  to follow though.  kilo, mega, giga etc each generally note a multiple of 1000 in common terms.  In computer tech though, the number 1024, or 2¹⁰, is often used instead.

Starting with the layman's powers of 10, a terabyte is a thousand gigabytes, which in turn is a thousand megabytes, which is a thousand kilobytes, which is a thousand bytes.

That means that a terabyte stores 1 × 10¹² bytes.  A byte however is eight bits, giving us 8 × 10¹² bits.

Using the nerdier powers of 2 then, a byte is eight bits, so we'll call that 2³.  We then go up by multiples of 2¹⁰.  With the same logic above, a terabyte is 2¹⁰ gigabytes, which is 2¹⁰ megabytes, which is 2¹⁰ kilobytes, which is 2¹⁰ bytes.  Adding the exponents up, then a terabyte would be 2⁴³ bits

So depending on whether you use the powers of ten or powers of 2 conventions, then a terabyte is either 8 × 10¹² bits, or 2⁴³ bits.

If you want to express the latter as a power of ten for proper scientific notation, then it would be 8.796093022208 × 10¹² - a rather useless way of expressing it, but just to cover all bases.

3 0
3 years ago
If f(x) = 4x + 12 is graphed on a coordinate plane, what is the y-intercept of the graph
Lelechka [254]
The answer is 12 because the linear equation is mx+b,where m is the slope and b is the y-intercept.
7 0
3 years ago
How is 0.9999 Equal to 1 again?
DochEvi [55]
It’s not exactly equal to one, but in many cases in math they ask for a rounded answer.
3 0
3 years ago
Write three different sentences that could describe the relationship between the quantities $27, $81
Olenka [21]
1) 27+x=81
2)27+81=108
3)81-x=27
8 0
3 years ago
The profit at a chocolate shop can be represented using the function f(x)=3x−95, where x is the number of chocolate truffles sol
xz_007 [3.2K]
The slope is the constant rate of change. In this case, the number is being multiplied by 3 each time

The slope is 3
“x represents number of chocolate truffles sold each day”
Represents amount of chocolate truffles sold per day
7 0
2 years ago
Other questions:
  • 40% of the people attending the movie were adults if 20 adults attended the movie then how many people attended the movie (use a
    15·1 answer
  • Given 1,024 = 32 evaluate 9,216
    12·1 answer
  • which of the following is not a way to represent the solution of the inequality 8x − (5x 4) greater than or equal to −31? a. x g
    5·1 answer
  • Elizabeth is going to flip a fair coin 100100100 times. what is the best prediction for the number of times that the coin will l
    15·2 answers
  • 3x=3x+4 is it no solution
    14·1 answer
  • Picture contains 2/3 quart of lemonade if an equal amount of lemonade is poured into each of six classes how much lemonade what
    7·1 answer
  • What is the approximate surface area of a cylinder that's base has a radius of 2, and it's lateral rectangle has a length of 6.2
    9·1 answer
  • each section in a stadium has 2460 seats. if there are 12 rows in each section, how many seats are in each row?
    9·1 answer
  • Solve: 2/3-4x+7/2=-9x+5/6 X=-3/2 X=-2/3 X=2/3 X=3/2
    11·2 answers
  • He conic section below is
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!