Over the summer, Jackie played video games 3 hours per day. When school began in the fall, she was only allowed to play video games for half an hour per day. What is the percent decrease? Round to the nearest percent

Answers

Answer 1
Answer:

Answer:

percent decrease

Step-by-step explanation:

I believe it is 75% sorry if I'm wrong

Answer 2
Answer:

Answer:

83%

Step-by-step explanation:

original amount:3

final amount: 0.5

percent change= amount of change/original amount

amount of change = greater value-lesser value =3-0.5=2.5

percent change=2.5/3=0.83=83%


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Alex and Jackson are brothers who are selling mums for a football fundraiser. Together they have sold 37 mums. If Alex has sold 19 more mums than Jackson, how many mums has Jackson sold? Use X to represent the number of mums alex sold and y to represent the number of mums Jackson sold.

Answers

Jackson has sold 18, that’s the only possibility.

x = mums sold by Alex

y = mums sold by Jackson

\boxed{\begin{array}{llll} \stackrel{ \textit{together they've sold 37} }{x + y = 37} \n\n\n \stackrel{ \textit{Alex has sold}}{x} = \stackrel{ Jackson }{y} + 19 \end{array}}\hspace{5em} \begin{array}{llll} \stackrel{\textit{substituting on the 1st equation}}{(y+19)~~ + ~~y~~ = ~~37}\n\n 2y+19=37\n\n 2y=18\n\n y=\cfrac{18}{2}\n\n y=9 \end{array}

(–45t + 53s) and (–3 – 75s + 2t) add these

Answers

Answer:

-22s - 43t - 3

Step-by-step explanation:

There are 229 people attending a convention. Each table seats 8 people. What is the least number of tables needed to seat everyone?__________ tables

Answers

29 tables will be needed.

If f(–5) = 0, what are all the factors of the function f(x) = x^3 - 19x + 30. Use the Remainder TheoremA (x – 2)(x + 5)(x – 3)
B (x + 2)(x – 5)(x + 3)
C (x – 2)(x + 5)
D (x + 2)(x – 5

Answers

If f(-5)=0, then x+5 is first factor of given polynomial.

1. Divide polynomial x^3 - 19x + 30 by x+5:

x^3 - 19x + 30=(x+5)(x^2-5x+6).

2. Factor the trinomial x^2-5x+6:

.

3. Then

x^3 - 19x + 30=(x+5)(x-2)(x-3).

Answer: correct choice is A.

The factors of the function f(x) = x³ - 19x + 30 are (x + 5)(x - 2)(x - 3).

Option A is the correct answer.

We have,

To determine the factors of the function f(x) = x³ - 19x + 30 using the RemainderTheorem, we need to find the values of x that make the function equal to zero.

Given that f(-5) = 0, we know that (x + 5) is a factor of the function.

Using syntheticdivision, we can divide f(x) by (x + 5):

     -5 |   1    0   -19   30

         |       -5    25  -30

      -----------------------

          1   -5     6    0

The result is a remainder of zero, indicating that (x + 5) is a factor.

Now we need to factorize the remaining quadratic expression:

1x² - 5x + 6.

This quadraticexpression factors as (x - 2)(x - 3).

Therefore,

The factors of the function f(x) = x³ - 19x + 30 are (x + 5)(x - 2)(x - 3).

Learn more about functions here:

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suppose a sorority sells 500 raffle tickets to raise money for a local charity. you purchase 17 of the tickets. if the winning ticket is chosen at random, what is the probability that one of your tickets is chosen as the winning ticket?

Answers

if you have 17 of the 500 tickets, the probability one of yours will be picked is (17)/(500)

Christiana works at Texas Road House and makes $50 each night in tips plus $7.50 per hour. Write a function rule in function notation where M is the total money she makes and h is the number of hours she works in one night.

Answers

Answer: M =  50 + 7.50 h

Step-by-step explanation:

As per the given scenario,

Total money Christina made = (Money she made in tips) + (Per hour wage ) x (Number of hours she work in one night)   (i)

Let M is the total money she makes and h is the number of hours she works in one night.

Here, Money she made in tips = $ 50

Per hour wage = $7.50

So substitute all the values in (i), we get

M =  50 + 7.50 h

Hence, the required function is M =  50 + 7.50 h.