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
notka56 [123]
3 years ago
10

Mai's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Mai $4.10 per pound, and type B co

ffee costs $5.75 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $561.60 . How many pounds of type A coffee were used?
Mathematics
1 answer:
velikii [3]3 years ago
7 0
About 49 pounds

$5.75 x 2 = 11.50

561.60 / 11.50 = 48.83 (round)
49 lbs
You might be interested in
According to a​ survey, 60 ​% of the residents of a city oppose a downtown casino. Of these 60 ​% about 8 out of 10 strongly opp
katrin [286]

Answer:

(a) 0.48

(b) 0.20

(c) it is not unusual for a radomly selected resident to oppose the casino and strongly oppose the​ casino.

Step-by-step explanation:

​(a) Find the probability that a randomly selected resident opposes the casino and strongly opposes the casino. ​

The probability that a radomly selected resident opposes the casino and strongly opposes the cassino is the product of the two probabilities, that a resident opposes the casino and that it strongly opposes the casino (once it is in the first group) as it is shown below.

Use this notation:

  • Probability that a radomly selected resident opposes the casino: P(A)

  • Probability that a resident who opposes the casino strongly opposes it: P(B/A), because it is the probability of event B given the event A

i) Determine the <em>probability that a radomly selected resident opposes the casino</em>, P(A)

Probability = number of favorable outcomes / number of possible outcomes

  • P(A) is <em>given as 60%</em>, which in decimal form is 0.60

ii) Next, determine,the <em>probability that a resident who opposes the casino strongly opposes it</em>, P(B/A):

  • It is given as 8 out of 10 ⇒ P(B/A) = 8/10

iii) You want the probability of both events, which is the joint probability or  intersection: P(A∩B).

So, you can use the definition of conditional probability:

  • P(B/A) = P(A∩B) / P(A)

iv) From which you can solve for P(A∩B)

  • P(A∩B) = P(B/A)×P(A) =  (8/10)×(0.60) = 0.48

(b) Find the probability that a randomly selected resident who opposes the casino does not strongly oppose the casino.

In this case, you just want the complement of the probability that <em>a radomly selected resident who opposes the casino does strongly oppose the casino</em>, which is 1 - P(B/A) = 1 - 8/10 = 1 - 0.8 = 0.2.

​(c) Would it be unusual for a randomly selected resident to oppose the casino and strongly oppose the​ casino?

You are being asked about the joint probability (PA∩B), which you found in the part (a) and it is 0.48.

That is almost 0.50 or half of the population, so you conclude it is not unusual for a radomly selected resident to oppose the casino and strongly oppose the​ casino.

8 0
3 years ago
Write 60% as a
Setler79 [48]

Answer:

The answer is three fiths

7 0
3 years ago
A basketball backboard set that sold for $79 is discounted 15%. What is the sale price?
EastWind [94]

Answer:

67.15

Step-by-step explanation:

subtract 15 percent of 79 from 79

7 0
3 years ago
Read 2 more answers
Find the value of the expression w^3 if w= 7=
Tasya [4]
Answer
Substitute w by 7
7^3
7x7x7 =343
3 0
2 years ago
Read 2 more answers
Question 2
Helen [10]

Answer:

The square root of 60

7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the value of y in the equation 2(3y -6) equals 0​<br><br>-2<br>0<br>2<br>6
    7·1 answer
  • PLEASE somebody help me solve this thanks!!
    5·1 answer
  • Suppose $1750 is put into an account that pays an annual rate of 4.5%
    6·1 answer
  • A local little league has a total of 95 players, of whom 40% are right handed. How many right handed players are there?
    11·2 answers
  • Are the triangles similar? If so, write the similarity statement and state which theorem or postulate is used to prove the two t
    15·2 answers
  • Solve for x.<br> X/8 = 4 <br> X=?<br><br> Anyone know??
    15·2 answers
  • If G = {(-1, 7),(-8, 2),(0, 0),(6, 6)}, then the range of G is
    10·1 answer
  • Figure A is a scale image of figure B. Figure A maps to figure B with scale factor of 0.25.
    11·1 answer
  • Cube root of b to the 27 power​
    15·1 answer
  • 11. Name a pair of complementary angles in this figure.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!