I think the answer is 1/4
We want to find the total number of people that Annette surveyed given that we know a percentage and the number that the percentage represents.
We will find that the number of people that Annette survey is 480.
To get the solution:
Let's assume that she surveyed a total of X people.
Then we can write the equivalence:
100% = X
We know that the 37.5% is equivalent to 180 people, then we can write:
37.5% = 180
The two equations are:
100% = X
37.5% = 180
Now we can take the quotient between these two equations to get:
(100%/37.5%) = X/180
Solving for X we get:
(100%/37.5%)*180 = X = 480
So the total number of people surveyed is 480.
The value of x is 46/9.
<h3>What is a system of equations?</h3>
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
When both sides of an equation are same then the equation has infinitely many solutions.
We have been given equation as;
3x - 3(4 + x) = 3/4(3x + 2) - 1
LEts simplify the both hand side.
3x - 12 + -3x = 9x/4 + 3/2 - 1
12 = 9x/4 + 1/2
12 - 1/2 = 9x/4
Simplify;
23/2 = 9x /4
23(2) / 9 = x
x = 46/9
Hence, the value of x is 46/9.
Learn more about equations here;
brainly.com/question/10413253
#SPJ1
Answer:
![\huge{ \boxed{ \bold{ \tt{12}}}}](https://tex.z-dn.net/?f=%20%5Chuge%7B%20%5Cboxed%7B%20%5Cbold%7B%20%5Ctt%7B12%7D%7D%7D%7D)
Step-by-step explanation:
![\sf{2 \div \frac{1}{6}}](https://tex.z-dn.net/?f=%20%5Csf%7B2%20%5Cdiv%20%20%5Cfrac%7B1%7D%7B6%7D%7D%20)
We know that division by fraction is the inverse of multiplication. If any number or fraction is divided by a fraction , we multiply the dividend by the reciprocal of the divisor. Reciprocal of any number or fraction can be obtained by interchanging the position of numerator and denominator.
![: \longrightarrow{ \: 2 \times \frac{6}{1} }](https://tex.z-dn.net/?f=%20%3A%20%5Clongrightarrow%7B%20%5C%3A%202%20%5Ctimes%20%20%5Cfrac%7B6%7D%7B1%7D%20%7D)
Multiply
![: \longrightarrow{ \boxed{ \bold{ \text{12}}}}](https://tex.z-dn.net/?f=%20%20%3A%20%5Clongrightarrow%7B%20%5Cboxed%7B%20%5Cbold%7B%20%20%5Ctext%7B12%7D%7D%7D%7D)
And we're done!
Hope I helped!
Best regards! :D
~![\text{TheAnimeGirl}](https://tex.z-dn.net/?f=%20%5Ctext%7BTheAnimeGirl%7D)
Answer:
11 servings
Step-by-step explanation:
A recipe is 623 cups
1 serving is 56 cups
Now if 1 serving is 56 cups
x serving is 623 cups
x = 623/56
x= 11 servings