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
OLga [1]
2 years ago
8

A distributor needs to mix some Terraza coffee that normally sells for $9.00 per pound with some Kona coffee that normally sells

for $13.50 per pound to create 50 pounds of a mix that can sell for $9.54 per pound. How many pounds of each kind of coffee should they mix?
Mathematics
1 answer:
Scrat [10]2 years ago
6 0

Answer:

Step-by-step explanation:

Mixture problems are really easy because the table never varies from one problem to another and they don't have a lot of variations in them like motion problems do. The table for us will look like this, using T for Terraza coffee and K for Kona:

                #lbs     x       $/lb       =         Total

T

K

Mix

Now we just have to fill this table in using the info given. We are told that T coffee is $9 per pound, and that K coffee is $13.50 per pound, so we will fill that in first:

                 #lbs        x        $/lb       =        Total

T                                           9

K                                         13.50

Mix

Next we are told that the mix is to be 50 pounds that will sell for $9.54 per pound

                  #lbs      x       $/lb        =        Total

T                                         9

K                                       13.50

Mix              50                 9.54

Now the last thing we have to have to fill in this table is what goes in the first column in rows 1 and 2. If we need a mix of 50 pounds of both coffees and we don't know how many pounds of each to use, then under T we have x and under K we have 50 - x. Notice along the top we have that the method to use to solve this problem is to multiply the #lbs by the cost per pound, and that is equal to the Total. So we'll do that too:

                 #lbs       x       $/lb      =      Total

T                   x        x          9         =        9x

K             50 - x      x       13.50     =    675 - 13.50x

Mix            50        x         9.54     =     477

The last column is the one we focus on. We add the total of T to the total of K and set it equal to the total Mix:

9x + 675 - 13.5x = 477 and

-4.5x = -198 so

x = 44 pounds. This means that the distributor needs to mix 44 pounds of T coffee with 6 pounds of K coffee to get the mix he wants and to sell that mix for $9.54 per pound.

You might be interested in
sherane rolls a standard, six-sided number cube. what is the probability of rolling a multiple of 3?​
marishachu [46]

Answer: 1/3 or 33.3% (rounded to nearest tenth)

Step-by-step explanation:

3 and 6 are multiples of 3

6 sides of a dice

2/6= 33%

6 0
3 years ago
Read 2 more answers
Jill made scarves and then sold them for $15 each. If Jill spent $150 to make all the scarves, how many scarves need to be sold
lesantik [10]

Answer:

10 scarves

Step-by-step explanation:

each scarf is $15, 10 of them is 150 because 10 x 15 = 150

3 0
3 years ago
Read 2 more answers
|3x|=9, solve absolute value equation
Mashutka [201]
|3x|=9

3x=9 -3x=9
X=9/3 x=9/-3
x=3 x=-3

Whenever you have an absolute value sign you have to find both the positive and the negative because they didnt signs into the equation but sometimes a question will ask for strictly the positive value or the negative value but if its not stated, find both.
4 0
3 years ago
The formula x + y = 180 can be used to find the degrees of supplementary angles, where x is the smaller angle. Find the domain a
maks197457 [2]

Answer:

Domain : 0° < x <90°

Range: 90° < y < 180°.

Step-by-step explanation:

When we have a function:

f(x) = y

the domain is the set of the possible values of x, and the range is the set of the possible values of y.

In this case we have:

x + y = 180°

such that x < y

Let's analyze the possible values of x.

The smallest possible value of x must be larger than 0°, as we are workin with suplementary angles.

Knowing this, we can find the maximum value for y:

0° + y = 180°

y = 180° is the maximum of the range.

Then we have:

0° < x

y < 180°

To find the other extreme, we can use the other relation:

x < y.

Then, we can impose that x = y (this value will not be either in the range nor the domain)

if x = y then:

x + y = x + x = 180

2*x = 180

x = 90°

This will be the maximum of the domain and the minimum of the range.

Then we have that the domain is:

0° < x <90°

And the range is:

90° < y < 180°.

5 0
3 years ago
SIMPLIFY
faust18 [17]
Are you sure the options are what u have written above? because sqrt of 5x=sqrt of 5x,
sqrt of 20x=2•sqrt of 5x,and sqrt of 80x= 4•sqrt of 5x..
4 0
3 years ago
Other questions:
  • Please help, I'm very lost with this question
    5·1 answer
  • The base of a triangle is four times its height.If the area of the triangle is 242 square millimeters,find its height
    8·1 answer
  • -3x-4ya 2<br>Зr + 3y=-3​
    10·1 answer
  • NEED ASAP WILL MARK BRAINLIEST!!!!
    7·1 answer
  • Two vertices of an equilateral triangle are located at (2, 0) and (–2, –3). What is the triangle’s perimeter?​
    11·1 answer
  • How do you find slope for y= 4 + 6x
    6·1 answer
  • X + y + 6 = 0 in standard form
    13·2 answers
  • The number of veggie burgers sold at a restaurant in Houston, Texas, was 425 in April. The number sold in May was 16% less than
    11·2 answers
  • NEED HELP ASAP!! I'LL GIVE BRAINLIEST TO THE CORRECT ANSWER!!
    6·1 answer
  • What is the value of: (3.3) + (-1) - (-1.7)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!