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PIT_PIT [208]
3 years ago
7

Boris's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Boris

Mathematics
1 answer:
KatRina [158]3 years ago
4 0
X=pounds of Type A coffee
y=pounds of Type B coffee

QUANTITY EQUATION:
x+y=178

COST EQUATION:
$5.45x + $4.20y=$870.10

STEP 1:
Solve for one variable in equation one.  Then substitute it in equation two.

x+y=178
subtract y from both sides of the equation
x=178-y


STEP 2:
substitute x=178-y in equation two

5.45x + 4.20y=870.10
5.45(178-y) + 4.20y=870.10
multiply 5.45 by everything in parentheses

(5.45*178)+(5.45*-y)+4.20y=870.10
970.10-5.45y+4.20y=870.10
combine like terms

970.10-1.25y=870.10
subtract 970.10 from both sides

-1.25y=-100
divide both sides by -1.25

y=80 pounds of type B coffee


STEP 3:
Substitute y=80 in either equation to solve for x

x+y=178
x+80=178
subtract 80 from both sides
x=98 pounds of type A coffee


ANSWER:
x=98 pounds of type A coffee
y= 80 pounds of type B coffee


CHECK:
Substitute answers for x & y into either equation to be sure it checks.

5.45x+4.20y=870.10
5.45(98)+4.20(80)=870.10
534.10+336=870.10
870.10=870.10

Hope this helps!  :)

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Use the info given to find the new price: original price: $24 and discount rate: 11%. What is the new price????
ELEN [110]
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3 0
3 years ago
There are 24 hours in a day. If you want to convert days to hours, should you multiply or divide by 24?
puteri [66]

multiply by 24

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7 0
2 years ago
The average number of accidents is 3 per month, what is the probability of 1 accident?
tatuchka [14]
<h2>Hello!</h2>

The answer is: 33.33%

<h2>Why?</h2>

Since we have the average number of accidents that occurs in 1 month, and it's equal to 3, we can calculate the probability of 1 accident occurs by dividing it into the average number of accidents, using the following formula:

Probability=\frac{FavorableOutcomes}{Outcomes}*100

Where,

Favorable outcomes are the occurrence of the event, for this case, it's equal to 1.

Outcomes are the possible occurrence of the event, for this case, it's equal to 3.

So, by substituting we have:

Probability=\frac{1}{3}*100

Probability=0.3333*100=33.33

So, the probability will be equal to 33.33%

Have a nice day!

7 0
3 years ago
307692 rounded to nearest hundredth
ZanzabumX [31]
Are you thinking of hundreds?  If so, then it would be 307700.
7 0
3 years ago
A banks loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviati
Alona [7]

Answer:

2.87%

Step-by-step explanation:

We have the following information:

mean (m) = 200

standard deviation (sd) = 50

sample size = n = 40

the probability that their mean is above 21.5 is determined as follows:

P (x> 21.5) = P [(x - m) / (sd / n ^ (1/2))> (21.5 - 200) / (50/40 ^ (1/2))]

P (x> 21.5) = P (z> -22.57)

this value is very strange, therefore I suggest that it is not 21.5 but 215, therefore it would be:

P (x> 215) = P [(x - m) / (sd / n ^ (1/2))> (215 - 200) / (50/40 ^ (1/2))]

P (x> 215) = P (z> 1.897)

P (x> 215) = 1 - P (z <1.897)

We look for this value in the attached table of z and we have to:

P (x> 215) = 1 - 0.9713 (attached table)

P (x> 215) =.0287

Therefore the probability is approximately 2.87%

4 0
3 years ago
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