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mart [117]
2 years ago
15

. In a class of students the ratio of the number of students who like to play football and the number of students who like to pl

ay volleyball is 5:3. If the number of students who like volleyball only is 15 and the number of students who like football only is 35, then a. Find the number of students who like both games​
Mathematics
1 answer:
andreyandreev [35.5K]2 years ago
6 0

Answer:

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/intro-to-ratios/v/ratios-intro

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1) (x - 2)/(x - 3) + (3x - 11)/(x - 4) = (4x + 13)/(x + 1)​
mote1985 [20]

Step-by-step explanation:

or,(x-2)(x-4)+(3x-11)(x-3)/(x-3)(x-4)=(4x+13)/(x+1)

or,x^2-4x-2x+8+3x^2-9x-11x+33/x^2-4x-3x+12=(4x+13)/(x+1)

or,4x^2-4x-2x-9x-11x+8+33/x^2-7x+12=(4x+13)/(x+1)

or,4x^2-26x+41/x^2-7x+12=(4x+13)/(x+1)

or, (x+1)(4x^2-26x+41)=(4x+13)(x^2-7x+12)

or,4x^3-26x^2+41x+4x^2-26x+41=4x^3-28x^2+48x+13x^2-91x+156

or,-26x^2+4x^2+28x^2-13x^2+41x-26x-48x+91x=156-41

or,-7x^2+58x=115

or,-7x^2+58x-115=0

or,-(7x^2-58x+115)=0

or,7x^2-58x+115=0

or,7x^2-(35+23)x+115=0

or,7x^2-35x-23x+115=0

or,7x (x-5)-23 (x-5)=0

or, (x-5)(7x-23)=0

Either, Or,

(x-5)=0 (7x-23)=0

or,x=0+5 or,7x=23

:x=5 :x=23/7

Hence,x=5 or 23/7

7 0
2 years ago
The total commission, in dollars, Jessie earned on selling cars at a dealership in two weeks is given by the expression 800+400x
Minchanka [31]

Answer: B. Jessie sold 2 cars in the first week and x number of cars in the second week, earning a commission of $400 on each car.

Step-by-step explanation:

The options include:

A. Jessie earned a total commission of $800 in the first week and x dollars in the second week.

B. Jessie sold 2 cars in the first week and x number of cars in the second week, earning a commission of $400 on each car.

C. Jessie sold 1 car in the first week, earning $800, and x number of cars in the second week, earning a total commission of $1,200.

D. Jessie earned a commission of $800 on each car in the first week and $400 on each car in the second week, selling x number of cars each week.

The situation that could be described by this expression will be option B "Jessie sold 2 cars in the first week and x number of cars in the second week, earning a commission of $400 on each car". This will be:

= (400 × 2) + 400(x)

= 800 + 400x

7 0
3 years ago
Evaluate the expression for the given value of x.<br> 5x + 6 for x = 4
Brrunno [24]
If x=4, rewrite the equation which would be 5(4)+6

First you multiply 4 by 5 which would give you 20

Now put in the 6 in the equation

20+6

20+6=26

Therefore for the expression given the value of x would make your answer be 26

5 0
3 years ago
15. Given the side measures, which of the following could form a triangle
alexdok [17]

Answer:

6,8,9

Step-by-step explanation:

6,8,9

any sum of two sides are bigger than the third side

7 0
3 years ago
A teacher divided students into groups of 3. Each group of 3 wrote a report that had 9 pictures in it. The students used 585 pic
jeyben [28]
So this is what i did but im not sure if its 100% correct

585 / 9 to get the number of groups = 65

then you take 65 x 3 for number of students in each group and you get the final answer of 195 students
5 0
3 years ago
Read 2 more answers
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