Answer:
29.99x +5 =124.96 ; x = 4
Step-by-step explanation:
X is how many days. She rented the car for 4 days.
Answer:
The integers are -3 and -4.
Step-by-step explanation:
Two consecutive integers are an integer and the one just greater or just less than the4 first one, such as 5 and 6, or -8 and -9.
If the smaller integer is x, then the next greater integer is x + 1.
x + 1 = 4x + 13
-3x = 12
x = -4
x + 1 = -3
Answer: The integers are -3 and -4.
Check:
Smaller integer: -4
Larger integer: -3
4 times smaller integer = 4 * (-4) = -16
13 greater than 4 times smaller = -16 + 13 = -3 = greater integer
-3 and -4 is the correct answer.
The amount of dollars that Mr. Levant would exchange for 100 pesos on his return is <u>$9</u>.
<h3>What is an exchange rate?</h3>
An exchange rate is a rate that is used to convert one nation's currency to another.
The exchange rate is based on the purchasing power of each nation's currency.
<h3>Data and Calculations:</h3>
Dollars before traveling to Mexico = $270
Value of Mexican pesos received for $270 = 3,000 pesos
Exchange rate = $1 = 11.11 pesos (3,000/$270)
Amount of pesos left after the trip = 100 pesos
Value of 100 pesos in dollars = <u>$9</u> (100/$11.11)
Thus, the amount of dollars that Mr. Levant would exchange for 100 pesos on his return is <u>$9</u>.
Learn more about exchange rates at brainly.com/question/2202418
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Answer:
Each of these equations solves as 1, because each one of them is an instance of the same expression being divided by itself.
This will <em>always</em> give you a value of 1, as long as the denominator does not end up with a zero value.
Take for instance the third question:
![\frac{p^4}{p^4}\\= p^4 \times p^{-4}\\= p^{(4 - 4)}\\= p^0\\= 1](https://tex.z-dn.net/?f=%5Cfrac%7Bp%5E4%7D%7Bp%5E4%7D%5C%5C%3D%20p%5E4%20%5Ctimes%20p%5E%7B-4%7D%5C%5C%3D%20p%5E%7B%284%20-%204%29%7D%5C%5C%3D%20p%5E0%5C%5C%3D%201)
This stands true with all three questions.
HOWEVER
I say this assuming that the 5 following the first brackets in the first question is meant to be an exponent, and not a multiple. Given that the norm is to make any numeric multiples precede the brackets, I assume it is an exponent. and we're good.
It's not using superscript though, which could mean that they want it multiplied by five instead of raised to the power of.
If that's case, we can solve it the same way we solved question 20. If the bases are the same, then when multiplying or dividing the terms, you can simply add or subtract the exponents respectively:
![\frac{(4x + 2y)\times5}{(4x + 2y)^5}\\= 5(4x + 2y) \times (4x + 2y)^{-5}\\= 5(4x + 2y)^1 \times (4x + 2y)^{-5}\\= 5(4x + 2y)^{1 - 5}\\= 5(4x + 2y)^{-4}\\= \frac{5}{(4x + 2y)^{4}}](https://tex.z-dn.net/?f=%5Cfrac%7B%284x%20%2B%202y%29%5Ctimes5%7D%7B%284x%20%2B%202y%29%5E5%7D%5C%5C%3D%205%284x%20%2B%202y%29%20%5Ctimes%20%284x%20%2B%202y%29%5E%7B-5%7D%5C%5C%3D%205%284x%20%2B%202y%29%5E1%20%5Ctimes%20%284x%20%2B%202y%29%5E%7B-5%7D%5C%5C%3D%205%284x%20%2B%202y%29%5E%7B1%20-%205%7D%5C%5C%3D%205%284x%20%2B%202y%29%5E%7B-4%7D%5C%5C%3D%20%5Cfrac%7B5%7D%7B%284x%20%2B%202y%29%5E%7B4%7D%7D)
Again, this is probably not the correct answer for question 18, as that 5 is almost guaranteed to be meant as an exponent. If it is instead a coefficient though, then this would be the answer to it.
The line of best fit is a line that follows the direction of the dots. It doesn't have to be perfect, it's just a general line to represent the data. Sometimes there isn't a line of best fit (if there is no correlation). It normally touches most of the dots.
The slope is about 1/2 and the point where the line touches the y axis is at 40 so that means an equation could be y = 1/2x + 40
When the advertising expenditure (x value) is 18,000, substitute it into the equation above. y = 1/2(18,000) + 40 which equals y = 9,040 . This is the expected revenue.
Hope this helps!