1) 12
2) 2y
3) 12+2y
4) 12+2y
Answer: Around 96 people would prefer creamy peanut butter.
Step-by-step explanation:
In the survey was found that 4 out of 5 preferred creamy over chunky peanut butter.
Then the relative frequency is:
4/5 = 0.8 prefer creamy peanut butter.
And we can assume that:
1/5 = 0.2 prefer chunky peanut butter.
We also could multiply these numbers by 100% to obtain the percentage forms:
0.8*100% = 80%
0.2*100% = 20%
Now, if there are 120 people in the grocery store, we can expect that the 80% will prefer creamy peanut butter.
Then we can expect that the number of people that prefers creamy peanut butter is:
N = (80%/100%)*120 = 0.8*120 = 96
Around 96 people would prefer creamy peanut butter.
Answer:
( -0.5 , 6.5 )
Step-by-step explanation:
Answer:
The slope of the a straight line is given by the ratio of the Rise to the Run
of the line. The rise between the given points is zero.
The slope of the line that passes through the points (4, 10) and (1, 10) is zero.
Step-by-step explanation:
The given points are; (4, 10) and (1, 10)
The slope of a line, m, is given by the following formula;
Where;
(x₁, y₁) = (4, 10) and (x₂. y₂) = (1, 10), we get;
The slope of the line that passes through the points (4, 10) and (1, 10) is 0.
3 dumplings can be made by Serenity
<em><u>Solution:</u></em>
Given that,
Serenity has
cups of dough to make dumplings
She uses
cup of dough for each dumpling
To find: Number of whole dumplings made
From given information,
![\text{Total cups of dough } = 2\frac{1}{2} = \frac{2 \times 2+1}{2} =\frac{5}{2}](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20cups%20of%20dough%20%7D%20%3D%202%5Cfrac%7B1%7D%7B2%7D%20%3D%20%5Cfrac%7B2%20%5Ctimes%202%2B1%7D%7B2%7D%20%3D%5Cfrac%7B5%7D%7B2%7D)
![\text{Cups of dough for 1 dumpling } = \frac{3}{4}](https://tex.z-dn.net/?f=%5Ctext%7BCups%20of%20dough%20for%201%20dumpling%20%7D%20%3D%20%5Cfrac%7B3%7D%7B4%7D)
To find the number of whole dumplings made, we can divide the total cups of dough by cups of dough for 1 dumpling
![\text{Number of whole dumplings made } = \frac{\text{total cups of dough}}{\text{cups of dough for 1 dumpling}}\\\\\text{Number of whole dumplings made } = \frac{\frac{5}{2}}{\frac{3}{4}} = \frac{5}{2} \times \frac{4}{3}\\\\\text{Number of whole dumplings made } = \frac{10}{3} = 3.33 \approx 3](https://tex.z-dn.net/?f=%5Ctext%7BNumber%20of%20whole%20dumplings%20made%20%7D%20%3D%20%5Cfrac%7B%5Ctext%7Btotal%20cups%20of%20dough%7D%7D%7B%5Ctext%7Bcups%20of%20dough%20for%201%20dumpling%7D%7D%5C%5C%5C%5C%5Ctext%7BNumber%20of%20whole%20dumplings%20made%20%7D%20%3D%20%5Cfrac%7B%5Cfrac%7B5%7D%7B2%7D%7D%7B%5Cfrac%7B3%7D%7B4%7D%7D%20%3D%20%5Cfrac%7B5%7D%7B2%7D%20%5Ctimes%20%5Cfrac%7B4%7D%7B3%7D%5C%5C%5C%5C%5Ctext%7BNumber%20of%20whole%20dumplings%20made%20%7D%20%3D%20%5Cfrac%7B10%7D%7B3%7D%20%3D%203.33%20%5Capprox%203)
Thus 3 dumplings can be made