Answer:
The answer is B. 28.
Step-by-step explanation:
Did the test and got it correct! PLEASEEE BRAINLIEST
5. It is a 5/9 chance he will pick 2 pair of pants. There are 5 pants and 9 in total (clothes and pants)
7. It is a 3/9 chance he will pick 2 items that are black. There are only 3 things that are black and the rest are other colors.
8. It is a 2/9 chance he will pick a pant and a shirt that is white. There is 1 white pants and 1 white shirt.
That is all I know. Number 6 kind of confuses me. Hope I helped!!!
Answer:
14
Step-by-step explanation:
2x + y = 20 (1)
2x + 3y = 36 (2)
(2) - (1) ⇔ (2x - 3y) - (2x + y) = 36 - 20
⇔ 2y = 16
⇔ y = 8 (3)
From (3) and (1), we have:
2x + y = 2x + 8 = 20
⇔ 2x = 12
⇔ x = 6
So: C = x + y = 6 + 8 = 14
Conclusion : C = 14
Brainliest, please?
ANSWER:
Both functions have the same slope
The linear equation does not have a y-intercept
The table and the grahp express an equivalent function
STEP-BY-STEP EXPLANATION:
In order to compare, we must calculate the slope of the table, knowing that the equation in its slope and intercept form is the following:
![\begin{gathered} y=mx+b \\ \text{where m is the slope and b is y-intercept} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y%3Dmx%2Bb%20%5C%5C%20%5Ctext%7Bwhere%20m%20is%20the%20slope%20and%20b%20is%20y-intercept%7D%20%5Cend%7Bgathered%7D)
The formula to calculate the slope is the following:
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
The points are (-6, -9/2) and (4,3), replacing:
![m=\frac{3-(-\frac{9}{2})}{4-(-6)}=\frac{3+\frac{9}{2}}{4+6}=\frac{\frac{15}{2}}{10}=\frac{15}{20}=\frac{3}{4}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B3-%28-%5Cfrac%7B9%7D%7B2%7D%29%7D%7B4-%28-6%29%7D%3D%5Cfrac%7B3%2B%5Cfrac%7B9%7D%7B2%7D%7D%7B4%2B6%7D%3D%5Cfrac%7B%5Cfrac%7B15%7D%7B2%7D%7D%7B10%7D%3D%5Cfrac%7B15%7D%7B20%7D%3D%5Cfrac%7B3%7D%7B4%7D)
The slope is 3/4
Now, for b
x = 4
y = 3
m = 3/4
replacing:
![\begin{gathered} 3=\frac{3}{4}\cdot4+b \\ b=3-3 \\ b=0 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%203%3D%5Cfrac%7B3%7D%7B4%7D%5Ccdot4%2Bb%20%5C%5C%20b%3D3-3%20%5C%5C%20b%3D0%20%5Cend%7Bgathered%7D)
The equation is:
![y=\frac{3}{4}x](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B4%7Dx)
Therefore, the true statements are:
• Both functions have the same slope
,
• The linear equation does not have a y-intercept
,
• The table and the grahp express an equivalent function
The length of one side of the square base is 8.5 centimeters.
<u>Given the following data:</u>
- Volume of cuboid = 867 cm
To find the length of one side of the square base:
Mathematically, the volume of a cuboid is given by the formula:
× ![Height](https://tex.z-dn.net/?f=Height)
Substituting the given values, we have:
× ![12](https://tex.z-dn.net/?f=12)
![Base\;area = \frac{867}{12}](https://tex.z-dn.net/?f=Base%5C%3Barea%20%3D%20%5Cfrac%7B867%7D%7B12%7D)
Base area = 72.225 ![cm^2](https://tex.z-dn.net/?f=cm%5E2)
Now, we can find the length by using the formula:
![Area \;of\;a \;square = length^2](https://tex.z-dn.net/?f=Area%20%5C%3Bof%5C%3Ba%20%5C%3Bsquare%20%3D%20length%5E2)
![72.25 = length^2](https://tex.z-dn.net/?f=72.25%20%3D%20length%5E2)
![Length = \sqrt{72.25}](https://tex.z-dn.net/?f=Length%20%3D%20%5Csqrt%7B72.25%7D)
<em>Length</em><em> = </em><em>8.5 centimeters</em>.
Therefore, the length of one side of the square base is 8.5 centimeters.
Find more information: brainly.com/question/11037225