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tatuchka [14]
3 years ago
12

The library sells 376 books at its annual used-book fundraiser. They take in a total of $2120. Childrens books cost $4, and adul

ts books cost $7. How many childrens books did they sell?
Let c = number of childrens books sold, and let a = the number of adult books sold.

which system of equations can the librarians use to solve this problem?

A. 4c+7a = 376
c+a = 2120
a= 376-c
B. 7c+4a = 2120
a+c = 376
C. 4a+7c=2120
c+a = 376
D. 4c + 7a = 2120
Mathematics
1 answer:
igomit [66]3 years ago
7 0
Answer:   \left\{\begin{array}{ccc}4a+7c=2120\\a+c=376\end{array}\right
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A rectangle flower bed is 9 feet wide and 12 feet long .what is the length of the diagonal?​
BigorU [14]

Answer:

15 feet

Step-by-step explanation:

The question talks about;

  • A rectangular flower bed whose dimensions are 12 ft by 9 ft

We are required to determine the length of the diagonal

To answer the question, we need to know the following;

  • All the angles in a rectangle are right angles
  • A diagonal divides a rectangle into two right-angled triangles
  • The dimensions of the rectangle acts as the legs of right angled triangle.

Therefore;

Using Pythagoras theorem;

a² + b² = c²

Where, c is the hypotenuse (in this case the diagonal)

a and b are the shorter sides of the right-angled triangle

Therefore;

c² = 12² + 9²

c² = 144 + 81

   = 225

c = √225

  = 15

Therefore, the length of the diagonal is 15 feet

5 0
3 years ago
Each patron pays an annual fee of $36 to the library. If the library collects $20,304 from the annual fee, how many patrons are
choli [55]

Answer:

564 patrons.

Step-by-step explanation:

20,304/36 = 564

5 0
2 years ago
Edenuity Quiz
lesya [120]

Answer:

C?

Step-by-step explanation:

A) Jared makes x of a goodie bag per hour. How many

can he make in y of an hour?

B) Jared makes x of a goodie bag per hour. How many

can he make in y of an hour?

C) Jared has x of an hour left to finish making goodie  bags. It takes him y of an hour to make each goodie  bag. How many goodie bags can he make?

D) id k

Quotient is the answer to a division problem, so we need to find a problem that needs to divide x and y to find the answer. It isn't A or B, since they are asking for y, not the quotient. I have no idea what D is. C makes sense, so C might be the answer.

It tells us how much time he has(x), and how long it takes him to make 1 bag(y), and we need to find the answer, which is the quotient.

So C is the answer.

---

hope it helps

4 0
3 years ago
Assume that a procedure yields a binomial distribution with a trial repeated n = 5 times. Use some form of technology to find th
Digiron [165]

Answer:

P(X = 0) = 0.0263

P(X = 1) = 0.1407

P(X = 2) = 0.3012

P(X = 3) = 0.3224

P(X = 4) = 0.1725

P(X = 5) = 0.0369

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

n = 5, p = 0.517

Distribution

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{5,0}.(0.517)^{0}.(0.483)^{5} = 0.0263

P(X = 1) = C_{5,1}.(0.517)^{1}.(0.483)^{4} = 0.1407

P(X = 2) = C_{5,2}.(0.517)^{2}.(0.483)^{3} = 0.3012

P(X = 3) = C_{5,3}.(0.517)^{3}.(0.483)^{2} = 0.3224

P(X = 4) = C_{5,4}.(0.517)^{4}.(0.483)^{1} = 0.1725

P(X = 5) = C_{5,5}.(0.517)^{5}.(0.483)^{0} = 0.0369

6 0
3 years ago
The balance, B, in dollars, after T years of an investment that earns interest compounded annually is given by the function B(t)
faust18 [17]

Answer: I’m pretty sure it’s 4.50%

Step-by-step explanation:

Well when you divide the number (1.045) by 100 you get 4.5 and so 4.5 of 1500 would give you the balance.

5 0
2 years ago
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