1 oz = 0.125 cups so 6 oz = 0.75 cups
Hope this helps!
Answer:
2(2/5x+2)=4x/5+4
Step-by-step explanation:
2(2/5x+2)=4x/5+4
4x/5 +4=4x/5 +4
M= a + n
I’m not sure if this is what you were looking for but I hope this helps
Answer:
![\dfrac{\$1000+\$20x}{x} \leq \$25](https://tex.z-dn.net/?f=%5Cdfrac%7B%5C%241000%2B%5C%2420x%7D%7Bx%7D%20%5Cleq%20%5C%2425)
Minimum 200 people other than the 2 charity representatives.
Step-by-step explanation:
Given that:
The venue can hold a maximum of 500 people.
Cost of venue = $1000
Per person cost for food = $20
Two charity representatives get to attend the dinner for free.
To find:
The inequality and to determine how many people must come to keep costs at most $25.
Solution:
Let the number of people attending the dinner = ![x](https://tex.z-dn.net/?f=x)
Cost of food for
people = ![\$20x](https://tex.z-dn.net/?f=%5C%2420x)
Total cost = $1000 + ![\$20x](https://tex.z-dn.net/?f=%5C%2420x)
Cost per person = Total cost divided by Number of people attending the dinner.
As per question statement:
![\dfrac{\$1000+\$20x}{x} \leq \$25\\\Rightarrow 1000+20x\leq25x\\\Rightarrow 1000 \leq 5x\\\Rightarrow x\geq 200](https://tex.z-dn.net/?f=%5Cdfrac%7B%5C%241000%2B%5C%2420x%7D%7Bx%7D%20%5Cleq%20%5C%2425%5C%5C%5CRightarrow%201000%2B20x%5Cleq25x%5C%5C%5CRightarrow%201000%20%5Cleq%205x%5C%5C%5CRightarrow%20x%5Cgeq%20200)
Therefore, the answer is:
Minimum 200 people other than the 2 charity representatives should attend the dinner.
<h2>
Hello!</h2>
The answer is:
The correct option is:
C) ![4^{3}*4^{4}=4^{7}](https://tex.z-dn.net/?f=4%5E%7B3%7D%2A4%5E%7B4%7D%3D4%5E%7B7%7D)
<h2>
Why?</h2>
To solve the problem, we need to remember the product of powers with the same base property, the property is defined by the following relation:
![a^{m}*a^{n}=a^{m+n}](https://tex.z-dn.net/?f=a%5E%7Bm%7D%2Aa%5E%7Bn%7D%3Da%5E%7Bm%2Bn%7D)
If we are multiplying two or more powers with the same base, we must keep the base and add/subtract the exponents.
So, we are given the expression:
![4^{3}*4^{4}](https://tex.z-dn.net/?f=4%5E%7B3%7D%2A4%5E%7B4%7D)
We can see that both powers have the same base (4), so solving we have:
![4^{3}*4^{4}=4^{4+3}=4^{7}](https://tex.z-dn.net/?f=4%5E%7B3%7D%2A4%5E%7B4%7D%3D4%5E%7B4%2B3%7D%3D4%5E%7B7%7D)
Hence, we have that the correct option is:
C) ![4^{3}*4^{4}=4^{7}](https://tex.z-dn.net/?f=4%5E%7B3%7D%2A4%5E%7B4%7D%3D4%5E%7B7%7D)
Have a nice day!