Brand A coffee sells for $7/pound, while Brand B sells for $5.40/pound. How much of each brand of coffee is needed to make 5 pounds that will cost
$6.75/pound?

A. 0.8 pounds Brand A, 4.2 pounds Brand B
B. 2.7 pounds Brand A. 2.3 pounds Brand B
C. 4.2 pounds Brand A. 0.8 pounds Brand B
D. 2.3 pounds Brand A. 2.7 pounds Brand B

Answers

Answer 1

Answer:

C. 4.2 pounds Brand A. 0.8 pounds Brand B

Step-by-step explanation:

How much of each brand of coffee is needed to make 5 pounds that will cost

$6.75/pound?

Let the number of pounds for Brand A = x

Let the number of pounds for Brand B = y

Brand A coffee sells for $7/pound, while Brand B sells for $5.40/pound.

$7 × x + $5.40 × y = $6.75 × 5

7x + 5.40y = 33.75.......Equation 1

x + y = 5 .......Equation 2

x = 5 - y

7(5 - y)+ 5.40y = 33.75

35 - 7y + 5.40y = 33.75

35 - 33.75 = 7y - 5.40y

= 1.25 = 1.6y

y = 1.25/1.6

y = 0.78125 pounds.

Approximately to the nearest whole number, Brand B = 0.8 pounds.

x = 5 - y

x = 5 - 0.8 pounds

x = 4.2 pounds

Brand A = 4.2 pounds


Related Questions

HELP!!!
Find the equation of a line parallel to 2x + 2y=6 that contains the point (3,-5), Write the equation in slope-intercept

Answers

Answer:

[tex]y = -x -2[/tex]

Step-by-step explanation:

Slope-Intercept form of the line

Any given line with slope m and y-intercept b can be written as:

y=mx+b

We need to find the equation of a line parallel to

2x + 2y = 6

Dividing by 2:

x + y = 3

Solving for y:

y = -x + 3

Comparing with the slope-intercept form of the line:

m = -1

Parallel lines have the same slope, thus the required line must have a slope m = -1.

Since we have a point through which the line passes, we use the point-slope form:

y - k = m ( x - h )

Where (h,k) is the point.

The required equation of the line is:

y - (-5) = -1 (x - 3)

Operating:

y + 5 = -x + 3

Solving for y:

[tex]\boxed{y = -x -2}[/tex]

A number is equal to the difference of four times the number and 18

Answers

Answer:

X = 4x-18

Step-by-step explanation:

X = “a number”^^

It has been observed that a large percentage of professional hockey players have birthdays in the first part of the year. It has been suggested that this is due to the cut-off dates for participation in the youth leagues - those born in the earlier months are older than their peers and this advantage is amplified over the years via more opportunities to train and be coached. Of the 511 professional hockey players in a season, 159 of them were born in January, February, or March.

Requried:
a. Assume that 25% of birthdays from the general population occur in January, February, or March (these actually contain 24.7% of the days of the year). In random samples of 508 people, what is the mean number of those with a birthday in January, February, or March?
b. What is the standard deviation?
c. Now, 158 of the 508 professional hockey players were born in the first three months of the year. With respect to the mean and standard deviation found in parts (a) and (b) what is the z-score for 158?
d. If the men in the professional hockey league were randomly selected from the general population, would 158players out of 508 be an unusual number of men born in the first 3 months of the year?

e. Which of the following is an acceptable sentence to explain this situation?

1. If the men in the professional hockey league were selected randomly from the general population, this would be an unusual collection of birth dates.
2. There is good reason to believe that a significantly larger than expected proportion of professional hockey league players are born in the first three months of the year.
3.This could be a result of the random variation of birth dates within a sample. However, it would be pretty unlikely to happen by chance.
4. All of these are valid statements.

Answers

Answer:

a

[tex]\mu  =  127[/tex]

b

[tex]\sigma  =  9.76[/tex]  

c

[tex]z-score  =  3.18 [/tex]

d

Yes, 158 players out of 508 is an unusual number of men born in the first 3 months of the year because the z score of 158  is  greater than  3( Note :the probability of  z-score = 3 is  97%)

e

The correct option is  option 3

Step-by-step explanation:

From the question we are told that

   The population proportion is  p =  0.25

   The sample size is  n =  508

   

Generally the mean is  mathematically represented as  

     [tex]\mu  =  np[/tex]

=>   [tex]\mu  =  508 * 0.25[/tex]

=>   [tex]\mu  =  127[/tex]

Generally the standard deviation is mathematically represented as

     [tex]\sigma  =  \sqrt{ np (1-p)}[/tex]

=>   [tex]\sigma  =  \sqrt{ 508 * 0.25 (1-0.25)}[/tex]    

=>    [tex]\sigma  =  9.76[/tex]  

Generally the z-score of  158 is mathematically represented as

    [tex]z-score  =  \frac{158 - 127}{9.76}[/tex]

=>  [tex]z-score  =  \frac{158 - 127}{9.76}[/tex]

=>  [tex]z-score  =  3.18 [/tex]

Yes, 158 players out of 508 is an unusual number of men born in the first 3 months of the year because the z score of 158  is  greater than  3( Note :the probability of  z-score = 3 is  97%)

What this means is that the almost the whole  professional hockey league player are born in the first month which is unusual

What is 50x50x1x0 =?
What is 0x0 =?
What is 0/0 =?

Answers

What is 50x50x1x0 = 0

What is 0x0 = 0

What is 0/0 = it is called undefined and the expression is 00

Answer:

1. 0  2.0 3. impossible

Step-by-step explanation:

1. PEMDAS

50*50=2500

2500*1=2500 idnetification property

2500*0=0  zero property

2. 0*0 =0  zero property

3. 0 can not be a divisor. This leads to the answer being an error

long division help :)
I’m confused

Answers

Answer:

the answer is 27

i did this by doing 6 x 2 which is 12 so i then did 16 - 12 which is 4 then i add the 2 in it which is 42 i then did 6 x 7 which is 42 and thats 0

this is my statement and i did this on paper and got this right!

Answer:

27

Step-by-step explanation:

See photo below

(Simplify the equation) 3n+5+2n=5+n+6n-n​

Answers

Answer:

n=0

Step-by-step explanation:

3n+5+2n=5+n+6n-n​

move like terms together

3n+2n+5=5+n+6n-n

simplify down

5n+5=5+6n

subtract 5n from each side

5=5+n

subtract 5 from each side

0=n

What is the solution set of the equation |2x-9| = -9

Answers

Answer:

tbh i don't kno either lol

Step-by-step explanation:

hehehe

Kyle is a secretary. She earns $12.38 per hour. She worked 42 hours last week. What is her straight time pay?​

Answers

Answer:

$519.96

Step-by-step explanation:

$12.38 × 42= $519.96

18 ft = 6 yd
O True
O False
Help

Answers

Step-by-step explanation:

there is 3 feet in a yard

divide by 3

18 ÷ 3 = 6

true

it is true. because 18 ft equals 6 yards. hahaha ima just type because it needs to be 20 characters but yeah.









Laura had 192 dollars to begin with. She just spent b dollars. Using b, write an expression for the number of dollars she has left

Answers

Answer:

uh idkbjbss codificación

192-b I think not too sure

can someone help me solve please.. thanks..

Answers

Answer:

see below

Step-by-step explanation:

f(0) means x=0

We use the f(x) when x<5

f(0) = 0+4 = 4

f(6) means x=6  

We use the f(x) when 5≤x<7

f(6) =8

I need help!!!! I don’t understand this at all

Answers

Answer:

ixtjtxgixgixyixiyxyifyicjgckckhckhcjgckckhckhckhcihciyciyfiyfiyfiyfiyfiyyif

Step-by-step explanation:

ridutd6utsutsursustysysyytshfzyrsyrsyrsyrsutd

There are eight wires which need to be attached to a circuit board. A robotic device will attach the wires. The wires can be attached in any order, and the production manager wishes to determine which order would be fastest for the robot to use. Use the multiplication rule of counting to determine the number of possible sequences of assembly that must be tested.

Answers

Answer: 40320 sequence to test.

Step-by-step explanation:

we have given the following data:

No of wires which need to be attached to a circuit board = 8

What We need to find is the number of possible sequences of assembly that must be tested.

Using our multiplication rule of counting we arrive at,

Number of possible sequences of assembly is given by

8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

= 40320

i.e. there are 8 choices for the first wire, 7 choices for the second wire, 6 choices for the third wire, 5 choice for the fourth wire same till the 8th wire.

Hence, there are 40320 possible sequences of assembly.

What is the second step in identifying grouped mean?

Answers

Answer:

B

Step-by-step explanation:

Divide the sum obtained in preceding step by total number of frequencies.

four students measure their height their heights measure 184cm, 192cm, 164cm, 200cm what is the mean height of the students

Answers

Answer:

add them all up and divide by four to get the mean is to get the average if there were two numbers you add and divide by 2 but since there are for u divide by four once you have added them all up

While shopping for clothes, Curtis spent $17 less that 2 times what Daniel spent. Curtis spent $15 dollars

What equation that can be used to determine how much Daniel spent is


Blank• - blank= blank

Answers

Answer:

$13

Step-by-step explanation:

15 x 2 =30 - 17 = 13

For the function h(x) = x2- 2, find the range:

If the domain is {-1, 0, 3}

Answers

Answer:

-4, -2, 4

Step-by-step explanation:

-1(2)-2

0(2)-2

3(2)-2

I hope this helped.

Simplify fully
x² – 9/3x²+8x-3 divided by x-3/x+2


Answers

Answer:

-(x(2x squared-8x+3))/(x-1)(x+3)

Step-by-step explanation:

This can't be simplified very far, but the answer is above. Hope it helps!

The simplified equation of x² – 9/3x²+8x-3 divided by x-3/x+2 is (x-3)(4x+1)/(3x-1)(x+2).

What is Simplification?

Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler. Therefore,

WE need to simplify the given;

[tex]\dfrac{x^{2}-9 }{3x^{2} +8x-3}+\dfrac{x-3}{x+2}[/tex]

3x² + 8x - 3 = (3x - 1)(x + 3)

x² - 9 = (x - 3)(x + 3)

Then;

[tex]\dfrac{(x-3)(x+3)}{(3x-1)(x+3)} +\dfrac{x-3}{x+2} =\dfrac{(x+2)(x-3)(x+3)+(x-3)(x+3)(3x-1)}{(3x-1)(x+3)(x+2)}[/tex]

Therefore,

[tex]\frac{(x+2)(x-3)(x+3)+(x-3)(x+3)(3x-1)}{(3x-1)(x+3)(x+2)}=\frac{((x+3)(x-3)((x+2)+(3x-1)))}{(3x-1)(x+3)(x+2)}[/tex]

[tex]\dfrac{((x+3)(x-3)((x+2)+(3x-1)))}{(3x-1)(x+3)(x+2)}=\dfrac{(x-3)((x+2)+(3x-1))}{(3x-1)(x+2))}[/tex]

[tex]\dfrac{(x-3)((x+2)+(3x-1))}{(3x-1)(x+2))} = \dfrac{(x-3)(x+2+3x-1)}{(3x-1)(x+2)}[/tex]

[tex]\dfrac{(x-3)(x+2+3x-1)}{(3x-1)(x+2)}=\dfrac{(x-3)(4x+1)}{(3x-1)(x+2)}[/tex]

Hence, The simplified equation of x² – 9/3x²+8x-3 divided by x-3/x+2 is (x-3)(4x+1)/(3x-1)(x+2).

Learn more about simplification;

https://brainly.com/question/17579585

#SPJ2

find the mean of the data 5,5,8 set

Answers

Answer:

the mean is 6

Step-by-step explanation:

5+5+8= 18

then divide 18 by 3 bc there is 3 numbers and u get 6

hope this helps

lines A and B are parallel,lines x and y are transversals. if angle 2 is 57 degrees and angle 3 is 85 degrees,find the measure of angle 5 will mark brainest​

Answers

Answer:

38

Step-by-step explanation:

see attached

What is (2n-9)-5(-2.4n+4)?

Answers

I think the answer is 14n-29

Find the sum: 2.234 + 0.01

Answers

Answer:

The sum of 2.234 and 0.01 is 2.244.

Step-by-step explanation:

The 0.01 is in the hundredths place, so just add 1 to the number in the hundredths place of 2.234, to make it 2.244.

Graph each function and determine the y-intercept, then use the graph to determine the approximate value of the given expression.
Y=3^x;3^1.2
A. 1;3.7
B. 1;2.9
C. 0;3.9
D. 0;3.5

Answers

Answer: Its A) 1 ; 3.7

Step-by-step explanation:i just took the practice on edge 2020

A package of 5 pairs of insulated socks costs ​$37.95. What is the unit price of the pairs of socks​?

Answers

Answer:

$7.59.

Step-by-step explanation:

Divide $37.95 dollars (converting it into 37.95), by 5, and you get 7.59 ($7.59).

Answer:

$7.59

Step-by-step explanation:

you dived $37.95 by 5 and you get your answer of $7.59

Two angles are complementary. One angle is twice as large as the other angle. What is the measure of each angle?​

Answers

Angles that are complementary end up equally 90 degrees. That means 30 degrees is one and 60 is the other because 30*2 = 60
60+30=90

FIRST RIGHT GETS BRAINLIEST

Answers

Answer:

Red is sus

Step-by-step explanation:

Answer: naah i think brown is sus he faked electrical vote him out

Step-by-step explanation:

Solve 6 < x + 5 < 11 ​

Answers

Answer:

I think it should be 1  < x ≤ 6

Step-by-step explanation:

I need help with this question ! if someone could also explain what the answer is, that would be awesome.

Answers

Answer:

y=3/2x+3

Step-by-step explanation:

The slope is 3/2. The slope is m. We plug 3/2 into our equation.

y=mx+b

y=(3/2)x+b

Now we have to find b.

B is 3 because that's where it crosses the y axis.

So y=3/2x+3

Is the line through points P(–3, –2) and Q(2, 3) perpendicular to the line through points R(10, –1) and S(15, –6)? Explain.

Answers

Answer:y = mx + b

(–6) = (4)(–1) + b

–6 = –4 + b

–2 = b

Step-by-step explanation:

6.333 x 10^2



HHHEEEEELLLLLLLPPPPP!

Answers

Answer:

See Below

Step-by-step explanation:

6.333 x 10^2

10^2 = 100

since there is 2 zeros, move the decimal to the right twice.

633.3

633.2
Pls mark me as brainliest
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