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shusha [124]
2 years ago
15

Julia and her husband own a coffee shop. They experimented with mixing a City Roast Columbian coffee that cost $7.00 per pound w

ith French Roast Columbian coffee that cost $8.20 per pound to make a 12-pound blend. Their blend should cost them $8.10 per pound. How much of each type of coffee should they buy?

Mathematics
1 answer:
Tcecarenko [31]2 years ago
3 0

Answer:

The number of pounds of City Roast Columbian coffee they should buy is 1 and the number of pounds of French Roast Columbian coffee they should buy is 11.

Step-by-step explanation:

Let

x ----> the number of pounds of a City Roast Columbian coffee

y ---> the number of pounds of a French Roast Columbian coffee

we know that

x+y=12 -----> equation A

7x+8.20y=8.10(12) ----> equation B

Solve the system of equations by graphing

The solution is the intersection point both graphs

The solution is the point (1,11)

therefore

The number of pounds of City Roast Columbian coffee they should buy is 1 and the number of pounds of French Roast Columbian coffee they should buy is 11.

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Oksi-84 [34.3K]

Answer:

Hey there!

We can't compare two measurements without converting them to  the same units. Thus, we use proportions to make all the values into the same unit.

12.5 cm(\frac{10 milimeters}{1 centimeter}), which converts to centimetres to millimetres.

12.5 cm=125 mm.

Now, we can compare the values of 125 mm and 140 mm.

Clearly, we see that 140 mm is greater than 125 mm.

Let me know if this helps :)

3 0
2 years ago
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Answer: The average rate of change = -1

Step-by-step explanation: Please find the attached file for the solution

5 0
2 years ago
A rectangle has a length of (3.2a + 0.18b)centimeters.The width is half the length. Sasha writes the expression (12.8a + 0.72b)
jeka94
The width is half the length, so is
  width = (1/2)*length
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  width = (1.6a +0.09b) cm

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8 0
2 years ago
A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 449 gram setting. It is
stealth61 [152]

Answer:

We accetp  H₀

Step-by-step explanation:

Information:

Normal distribution  

Population mean      =   μ₀  = 449

Population standard deviation  σ   unknown

Sample size   n  =  23        n < 30    we use t-student test

so   n  =  23    degree of fredom   df = n  - 1  df  = 23- 1   df = 22

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Sample standard deviation   s  =  20

Significance level  α  =  0,05  

1.-Hypothesis Test

Null hypothesis                               H₀     μ₀  =  449

Alternative hypothesis                    Hₐ     μ₀  ≠  449

Problem statement ask for determine decision rule for rejecting the null hypothesis. For rejecting the null hypothesis we have to  get an statistic parameter wich implies  that μ is bigger or smaller than μ₀

2.-Significance level   α  =  0,05  ;  as we have a two tail test

α/2    =  0,025

Then from t - student table for  df =  22   and 0,025 (two tail-test)

t(c)  =  ±  2.074

3.- Compute  t(s)

t(s)   =  (  μ  -  μ₀ )  /  s /√n

plugging in values

t(s)   =  (448  -  449) /  20 /√23    ⇒   t(s)   =  -  1*√23 /20

t(s)   =  - 0.2398

4.-Compare t(c)   and  t(s)

t(s)  <  t(c)         - 0.2398  <  - 2.074

Therefore  t(s)  in inside acceptance region.  We accept  H₀

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2 years ago
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Answer:

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x=100/4

x=25°

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6 0
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