What is the y-intercept of f(x)<br> = (3/5)^x?

Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz. box costs $3.50, while the 16 oz. box cos

RideAnS [48]

Answer:

Jillian sold 15 ten-oz bags and 9 sixteen-oz bags.

Step-by-step explanation:

Let x represent number of 10-oz bags and y represent number of 16-oz bags.

We have been given that Jillian sold 24 boxes of cookies in total. We can represent this information in an equation as:

$x+y=24...(1)$

We are also told that 10 oz. box costs $3.50, while the 16 oz. box costs $5.00, so the cost of x 10-oz bags would be $3.50x$ and cost of y 16-oz bags would be $5y$ .

At the end of one week, she collected $97.50. We can represent this information in an equation as:

$3.5x+5y=97.50...(2)$

Now, we will use substitution method to solve our system of equations. From equation (1), we will get:

$y=24-x$

Substitute this value in equation (2):

$3.5x+5(24-x)=97.50$

$3.5x+120-5x=97.50$

$-1.5x+120=97.50$

$-1.5x+120-120=97.50-120$

$-1.5x=-22.5$

$\frac{-1.5x}{-1.5}=\frac{-22.5}{-1.5}$

$x=15$

Therefore, the number of 10-oz boxes sold be Jillian is 15.

Now, we will substitute $x=15$ in equation (1) to solve for y.

$15+y=24$

$15-15+y=24-15$

$y=9$

Therefore, the number of 16-oz boxes sold be Jillian is 9.

8 0

3 years ago

Lines l and k are parallel to each other. A=120 degrees. and C=80 degrees. What is the number of degrees in B??

Aleonysh [2.5K]

Answer:

B = 160°

Step-by-step explanation:

This is how I solved it (I hope the explanation isn't too confusing):

Since L and K are parallel, I drew a straight line from A to B. By doing this, I'm making a triangle: ΔABC

Then I solved for the angles of the triangle. First, we are given that ∠C = 80° and ∠A = 120°. Although, when I drew the vertical line from A to B, it made a 90° (see attachment).

So what we basically did was break ∠A into two parts: an angle inside ΔABC and one outside. To find the interior angle, simply subtract 90° from 120° to get 30°.

There are 180° in a triangle, so add the two interior angles you know:

30° + 80° = 110°

Then subtract 110° from 180° to find the final interior angle which is:

180° - 110° = 70°.

To find the measure of angle B, you must add all of the parts together, so the 90° outside angle and the 70° interior angle:

90° + 70° = 160°

5 0

3 years ago

Select the correct answer.

Amiraneli [1.4K]

It is C have a great day luv

3 0

3 years ago

What is the probability of getting a multiple of 8, in month of june?

Effectus [21]

There are 30 days in June and only three of those days are multiples of 8 so you have the probability of 3 out of 30.

3 0

3 years ago

Read 2 more answers

. If her allowance had stayed the same, $9.00 a month, how many carnival tickets could she bu

jarptica [38.1K]

Answer:

a) number of tickets she could buy in a month with her allowance in 2008 = 4 tickets

b) number of tickets she could buy in a month with the same allowance in 2012 = 2 tickets

c) $5, an increase of 55.56%

d) $2, a 100% increase.

e) Hallie was able to buy more tickets in 2008 than in 2012.

f) $16

Step-by-step explanation:

The complete question is presented in the attached image to this answer.

a) Halie's allowance monthly = $9

Price of a ticket in 2008 = $2

number of tickets she could buy in a month with her allowance = (9/2) = 4.5 = 4 tickets (since there are no half tickets)

b) Halie's allowance monthly = $9

Price of a ticket in 2012 = $4

number of tickets she could buy in a month with her allowance = (9/4) = 2.25 = 2 tickets (since there are no quarter tickets)

c) In 2012, Hallie's allowance was $14.00 per month. How much did her monthly allowance increase between 2008 and 2012?

Her monthly allowance in 2008 = $9

Her monthly allowance in 2012 = $14

The increase = new allowance - old allowance = 14 - 9 = $5

In percentage terms,

% increase = 100% × (new - old)/(old)

% increase = 100% × (14 - 9)/9 = 55.56%

d) How much more did a carnival ticket cost in 2012 than it did in 2008?

Price of a ticket on 2008 = $2

Price of a ticket in 2012 = $4

Increase in price = 4 - 2 = $2

% increase = 100% × (4 - 2)/2 = 100%

e) Was Hallie able to buy more carnival tickets in 2008 or in 2012 with one month's allowance?

Hallie was able to buy more tickets in 2008 than in 2012.

f) What would Hallie's allowance need to be in 2012 in order for her to be able to buy as many carnival tickets as she could in 2008?

Hallie could buy 4 tickets in 2008.

Price of a ticket in 2012 = $4.

Price of 4 tickets in 2012 = 4 × $4 = $16

Hope this Helps!!!!

3 0

3 years ago

What is the y-intercept of f(x) = (3/5)^x?