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aliina [53]
2 years ago
11

Mia has a budget of $250 to spend on a health club membership. The monthly membership fee is $20, and there is a one-time regist

ration fee of $35 to join. Which inequality represents the number of months, m, Mia can go to the health club and stay within her budget?
Mathematics
1 answer:
Leokris [45]2 years ago
7 0
So we cant go over $250

35+20n=250

now that i put the question in an expression we can take the 35 away from both sides

35+20n=250
-35. -35
_____________
20n=215


now divide 20 by both sides to get (n) alone

20n=215
________
20

n= 10.75

we round down because we cannot exceed the limit, thus

ANSWER: 10 months
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Suppose you have rolled a six-sided die fifty times and recorded the result of each roll.
a_sh-v [17]

Using it's concept, it is found that the relative frequency  probability of rolling an even number based on this experiment is \frac{11}{25}.

A relative frequency is the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem:

  • 50 dices are thrown, hence T = 50.
  • 22 resulted in an even number, hence D = 22

The <u>relative frequency</u> is given by:

f = \frac{D}{T} = \frac{22}{50} = \frac{11}{25}

A similar problem is given at brainly.com/question/20630951

8 0
2 years ago
When Sarah turned 18, she took $500 from her savings and opened a
Montano1993 [528]

The worth of Sarah's investment when she is 68 is $14,728.51.

<h3>What is the worth of the investment?</h3>

The formula that can be used to determine the worth of the investment is:

FV = P (1 + r)^n

FV = Future value

P = Present value

R = interest rate

N = number of years = 68 - 18 = 50

$500 x (1.07)^50 = $14,728.51

To learn more about future value, please check: brainly.com/question/18760477

6 0
2 years ago
Amanda went to the store to purchase ink pens. She found three kinds of pens. The first cost $4 each; the price of the second ki
KonstantinChe [14]

Answer:

Amanda buy first kind of pen = 3

Amanda buy second kind of pen = 2

Amanda buy third kind of pen = 15

Step-by-step explanation:

Given - Amanda went to the store to purchase ink pens. She found three    

            kinds of pens. The first cost $4 each; the price of the second kind

            was 4 for $1; and the cost for the third kind was 2 for $1. She bought

            20 pens and she bought at least one of each kind. (It is possible to

            buy only 1 of the pens that are "4 for $1" or "2 for $1".) The cost was

            $20.

To find - When she got back to her office, Amanda decided to turn this into

              a math problem for me. She asked: how many of each kind did I

              buy?

Proof -

Let Amanda buy first kind of pen = x

                      second kind of pen = y

                           third kind of pen = z

As given,

She bought total pen = 20

⇒x + y + z = 20          ...............(1)

Now,

As given,

cost for first kind pen = $4 for 1 pen

As she bought x pens of first kind , so

Cost of x pens of first kind = $4x

Now,

The price of the second kind was 4 for $1

⇒Cost of second kind = $\frac{1}{4} for 1 pen

As she bought y pens of send kind , so

Cost of y pens of second kind = $\frac{1}{4}y

Now,

The price of the third kind was 2 for $1

⇒Cost of third kind = $\frac{1}{2} for 1 pen

As she bought z pens of send kind , so

Cost of z pens of third kind = $\frac{1}{2}z

Now,

As given, The cost was $20

⇒4x + \frac{1}{4}y + \frac{1}{2}z = 20

⇒16x + y + 2z = 80             .....................(2)

∴ we get 2 equations

x + y + z = 20                   .....................(1)

16x + y + 2z = 80             .....................(2)

Now,

Subtract equation (1) from equation (2) , we get

16x + y + 2z  - ( x+ y + z )= 80 - 20

⇒16x + y + 2z - x - y - z = 60

⇒15x + z = 60

⇒z = 60 - 15x

Now,

Put the value of z in equation (1) , we get

x + y + 60 - 15 x = 20

⇒ y - 14x = 20 - 60

⇒y - 14x = -40

⇒14x - y = 40

⇒y = 14x - 40

Now,

we get

z = 60 - 15x

y = 14x - 40

As given

she bought at least one of each kind

it means x > 1, y > 1, z > 1

Now,

If x = 1, then y = 14 - 40 = -26

Not possible

If x = 2 , then y = 14(2) - 40 = -12

Not possible

If x = 3, then y = 14(3) - 40 = 2 and z = 60 - 15(3) = 15

Possible.

If x = 4,  then y = 14(4) - 40 = 16 and z = 60 - 15(4) = 0

Not Possible.

If x = 5, then y = 14(5) - 40 = 30 and z = 60 - 15(5) = -15

Not Possible.

∴ we get

x = 3, y = 2, z = 15

Amanda buy first kind of pen = x = 3

Amanda buy second kind of pen = y = 2

Amanda buy third kind of pen = z = 15

7 0
3 years ago
In a recent study of 42 eighth graders, the mean number of hours per week that they watched television was 19.6. Assume the popu
olya-2409 [2.1K]

Answer:

19.6-2.42\frac{5.8}{\sqrt{42}}=17.43    

19.6+2.42\frac{5.8}{\sqrt{42}}=21.77    

And the best option for this case would be:

a. (17.5, 21.7)

Step-by-step explanation:

Information given

\bar X= 19.6 represent the sample mean

\mu population mean

\sigma= 5.8 represent the population deviation

n=42 represent the sample size  

Confidence interval

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

The degrees of freedom, given by:

df=n-1=42-1=41

Since the Confidence is 0.98 or 98%, the significance would be \alpha=0.02 and \alpha/2 =0.1, and the critical value would be t_{\alpha/2}=2.42

Replacing we got:

19.6-2.42\frac{5.8}{\sqrt{42}}=17.43    

19.6+2.42\frac{5.8}{\sqrt{42}}=21.77    

And the best option for this case would be:

a. (17.5, 21.7)

8 0
3 years ago
Write &lt;, &gt;, or = to make the statement true : .293 ___ .29
JulsSmile [24]
If you add a zero to the end of .29 it becomes .290
So, the answer is .293 > .29
7 0
3 years ago
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