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anyanavicka [17]
3 years ago
11

There are 13 students in a biology class and 12 students in a chemistry class. if there are 20 students in total, how many stude

nts are in both classes?
Mathematics
1 answer:
klemol [59]3 years ago
4 0

There are 5 students in both classes. Have a great day!

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A water taxi travels around an island in a path that can be modeled by the equation y =0.5(x - 16). A water skier is skiing alon
Eddi Din [679]

I realize that the equation is different, but do it in the same way, it'll help! It is given that the water​ taxi's path can be modeled by the equation y =0.5(x - 14)^2. ​Therefore, this is one of the equations in this system. Find a linear equation that will model the path of the water​ skier, which begins at the point (6,6) and ends at the point (8,-4). The slope is (-5). Use the slope and one point on the line to find the​ y-intercept of the line.  The​ y-intercept of the line that passes through the points (6,6) and (8,-4) is (0,36). Thus, the equation is y=-5x+36. Now, to determine if it is possible for the water skier to collide with the​ taxi, we have to determine if there is a solution to the system of equations. To determine if there is a solution to the system of​ equations, solve the system using substitution.​ First, write the equation that models the water​ taxi's path in standard form. y=0.5(x - 14)^2-->0.5x^2-14x+98. Use substitution. Substitute for  y in the equation and then solve for  x. As the expression on the left side of the equation cannot easily be​ factored, use the Quadratic Formula to solve for x. Do x=-b(plusorminus)sqrrtb^2-4ac/2a. Identify a, b, and c. a=0.5, b=-9, and c=62. Substitute into the Quadratic Formula. If there is a negative number under the radical, there are NO solutions. Thus, the path of the water skier will never cross the path of the taxi.

In conclusion: It is not possible that the water skier could collide with the taxi as the two paths never cross.

8 0
3 years ago
Solve (x + 6)/x - 4) = -16<br> 0 (-12. 22)<br> 0 1-4. 2)<br> O {-4. 6)
Snowcat [4.5K]

Answer:

3\frac{7}{17}

Step-by-step explanation:

\frac{(x + 6)}{(x - 4)}  =  - 16 \\  \\ x + 6 =  - 16(x - 4) \\ x + 6 =  - 16x + 64 \\ x + 16x = 64 - 6 \\ 17x = 58 \\ x =  \frac{58}{17}  \\ x =  3\frac{7}{17}  \\

7 0
3 years ago
Which values of a, b, and c represent the answer in simplest form?
Flura [38]

Answer:

answer is c hope this helps can i have branliest

5 0
3 years ago
Can a -150/10 be classified as both a rational number and a integer
irakobra [83]
Yes! This is because -150/10 can be simplified to be -15, which is a rational number.

The word “rational” sounds like another math word you’ve heard of before. Do you know what it is?

Well, it’s “ratio”!! Ratios can be seen in the forms x:y and x/y.


ANY RATIONAL NUMBER HAS THE ABILITY TO BE WRITTEN AS A RATIO!! This will completely exclude numbers with super long decimal points (ex: 1.2345678809928374737272828...)

This number also meets the requirements of being an integer. An integer is any whole number (this excludes decimals and fractions)

I know it’s written as a fraction. However, the fraction could be simplified, making it -15, which means this is both a rational number and an integer!!
6 0
3 years ago
4. Solve the equation for the given variable. For each step. Identity the property used to convert the equation. 22x + 11 = 4x -
Andrei [34K]

Answer:

x=-1

Step-by-step explanation:

5 0
3 years ago
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