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xenn [34]
3 years ago
11

You received a $100 gift certificate to a clothing store. The store sells T-shirts (x) for $15 and dress shirts (y) for $22. You

want to spend no more than the amount of the gift certificate. You want to leave at most $10 of the gift certificate unspent. You need at least one dress shirt.
Mathematics
1 answer:
Andre45 [30]3 years ago
3 0
You still want at most 

(15x) + (22y) ≤ 100(-z)           (equation used)

0 ≤ z ≤ 10                              (amount you want to leave unspent)

y ≥ 1                                     (amount of dress shirt you need)

This is your system of equation, in which the numbers must fulfill both equations

hope this helps
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Suppose that a recent poll of American households about car ownership found that for households with a car, 39% owned a sedan, 3
Rama09 [41]

Answer:

The probability that of the 3 households randomly selected at least 1 owns a sports car is 0.1956.

Step-by-step explanation:

Let <em>X</em> = number of household owns a sports car.

The probability of <em>X</em> is, P (X) = p = 0.07.

Then the random variable <em>X</em> follows a Binomial distribution with <em>n</em> = 3 and <em>p</em> = 0.07.

The probability function of a binomial distribution is:

P(X=x) = {n\choose x}p^{x}[1-p]^{n-x}\\

Compute the probability that of the 3 households randomly selected at least 1 owns a sports car:

P(X\geq 1)=1-P(X

Thus, the probability that of the 3 households randomly selected at least 1 owns a sports car is 0.1956.

4 0
3 years ago
7. A model rocket is launched from a roof into a large field. The path of the rocket can be modeled by the
svp [43]

Answer: 475.59 meters .

Step-by-step explanation:

The correct equation is the following:

y =-0 .02x^2 +9.5x + 5.6

For this exercise you need to use the Quadratic formula:

x = \frac{-b\±\sqrt{b^2-4ac}}{2a}

In this case you can identify that the values of "a", "b" and "c" are:

a=-0.02\\\\b=9.5\\\\c=5.6

Now you must substitute these values into the Quadratic formula and then evaluate. You get:

x=\frac{-9.5\±\sqrt{(9.5)^2-4(-0.02)(5.6)}}{2(-0.02)}\\\\x_1=475.588\\x_2=-0.588

Choose the positive one and round it to the nearest hundreth:

x_1\approx 475.59

4 0
2 years ago
Factor the common factor out of the expression 8+20a+18a^2
ruslelena [56]
First let's rewrite it...

18a^2 + 20a + 8

Factor out a 2

2 (9a^2 + 10a + 4)
5 0
2 years ago
Mai had $14.50. She spent $4.35 at the snack bar and $5.25 at the arcade. What is the exact amount of money mai has left​
velikii [3]

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

                  Hello!

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

❖ Mai has $4.90 left.

Add $4.35 and $5.25 to get the total amount that she spent:

$4.35 + $5.25 = $9.60

Then subtract to get the amount of money left:

$14.50 - $9.60 = $4.90

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

3 0
3 years ago
Read 2 more answers
Matthew is designing a new board game, and is trying to figure out all the possible
icang [17]

The computation shows that there are 8640 combinations.

<h3>How to compute the value?</h3>

From the information, we are to find the combination when he rolls a cube that has six sides labeled 1 to 6, spins a spinner with three equal-sized sections labeled Walk, Run, Stop, and flips a coin.

This will be:

Cube = 6

Spinner = 3

Coin = 2

The combination will be:

= 6! × 3! × 2!

= 8640 ways

Therefore there are 8640 combinations.

Learn more about combinations on:

brainly.com/question/4658834

#SPJ1

3 0
1 year ago
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