Ask question

Ask question

All categories

2 years ago

10

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

there?

1 answer:

choli [55]2 years ago

5 0

Answer:

564 patrons.

Step-by-step explanation:

20,304/36 = 564

You might be interested in

Priya spent 1/2 of the day hiking. She was lost 5/6 of the time that she was hiking. What fraction of the day was Priya lost

Vadim26 [7]

Answer:

$\frac{5}{12}$ fraction of the day was Priya lost

Step-by-step explanation:

As per the statement:

Priya spent 1/2 of the day hiking.

⇒She spent for hiking = 1/2 of the day.

It is also given that:

She was lost 5/6 of the time that she was hiking.

⇒ $\text{She lost} = \frac{5}{6} \times \text{She was hiking}$

Substitute the given values we have;

$\text{She lost} = \frac{5}{6} \times \frac{1}{2} = \frac{5}{12}$ of the day

therefore, $\frac{5}{12}$ fraction of the day was Priya lost

5 0

3 years ago

Read 2 more answers

A recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water 3/4 quart of grape juice. Q1: How much sparkling wa

kogti [31]

Answer:

1) 18 Quart of Sparkling water need to mix with 9 quart grape juice

2) 15/2 Quart of grape juice required for 15/4 quarts of sparkling water.

3) Quantity of grape juice and sparkling water in 100 quart of punch are 33 1/3 quart and 66 2/3 quart respectively.

Step-by-step explanation:

1 1/2 quarts = 1 + (1/2) = 3/2 quarts

1) water required for 3/4 quart of grape juice = 3/2 quarts

so water required for 1 quart of grape juice = (3/2) ÷ (3/4) = (3/2)× (4/3) = 2 quarts

so water required for 9 quart of grape juice = 9 * 2 = 18 quart

18 Quart of Sparkling water need to mix with 9 quart grape juice

2) From solution of 1 ,

For 18 quart of Sparkling water , grape juice require = 9 quart

So for 1 quart of Sparkling water , grape juice require = 9÷18 = 1/2 Quart

so for 15/4 quart of Sparkling water , grape juice require = 1/2 × 15/4 =

15/2 Quart of grape juice required for 15/4 quarts of sparkling water.

3)

in 1 we calculated that 18 Quart of Sparkling water need to mix with 9 quart grape juice that is 2 quart of Sparkling water need to mix with 1 quart of grape juice.

In other words 1 quart of grape juice + 2 quart of sparkling water is 3 quart of punch.

Quantity of Grape juice in 3 quart of punch = 1 quart

so quantity of grape juice in 1 quart of punch = 1/3 quart

And quantity of grape juice in 100 quart of punch = 100×(1/3) = 100/3 =

33 1/3

Quantity of sparkling water in 3 quart of punch = 2 quart

so quantity of sparkling water in 1 quart of punch = 2/3 quart

And quantity of sparkling water in 100 quart of punch = 100 ×2/3 quart = 66 2/3

3 0

4 years ago

Help me if this is always true, sometimes true or never true pls<br> math

Angelina_Jolie [31]

23.
a. Sometimes true
b. Always true
c. Always true
d. Never true

Hope this helps. Good luck! :)

6 0

3 years ago

You are given the exponential function g(x)=3^x. Which ootion below gives the formula for the new function h created by stretchi

Citrus2011 [14]

Answer:

h(x) = 3^(x + 1)

Step-by-step explanation:

The exponential function is;

g(x) = 3^(x)

Now, in transformation of exponential functions of say f(x) = b^(x), when the new function g(x) is created by stretching by a factor of say c along the y-axis, we have;

g(x) = c•b^(x)

In this question, we are told it is stretched by a factor of 3 along the y-axis.

Thus, new function h is;

h(x) = 3 × 3^(x)

Using law of indices, we have;

h(x) = 3^(x + 1)

7 0

3 years ago

The ratio of Shauntay's cards to Jessica's cards is 5 to 3. After Shauntay gives Jessica 12 of her cards, both girls have the sa

Zepler [3.9K]

Answer:

They have 48 cards.

Step-by-step explanation:

let s be the number of Shauntay's cards and j be the number of Jessica's cards.

The ratio of Shauntay's cards to Jessica's cards is 5 to 3, then

(1) $\frac{s}{j}$ = $\frac{5}{3}$

After Shauntay gives Jessica 12 of her cards, both girls have the same number of cards, then

(2) s-12 =j+12.

From (2), we get s= j+24. If we put j+24 instead of s in (1) we get:

$\frac{j+24}{j}$ = $\frac{5}{3}$

3×j+24×3 = 5×j From this we get;

2×j=72 and j=36

After Shauntay gives Jessica 12 of her cards, Shauntay and Jessica would have 48 cards.

4 0

3 years ago