Answer:
You download 32 rock songs.
Step-by-step explanation:
*im a 7th grader so dont trust me with this answer lol*
The ratio 5 : 4 can also be written as the fraction 5/4.
The ratio pop songs, 40 : rock songs, r can be written as the fraction 40/r
Set an equation:
40/r = 5/4
Cross Multiply:
5r = 160
Divide 5 from both sides:
r = 32
There you have it, the amount of rock songs downloaded! Hopefully this helps!
Answer:
x=5
Step-by-step explanation:
(5x+2)/3 = 9
Multiply each side by 3
(5x+2)/3 *3 = 9*3
5x+2 = 27
Subtract 2 from each side
5x+2-2 = 27-2
5x = 25
Divide by 5
5x/5 = 25/5
x =
Answer:
25 and 57.
Step-by-step explanation:
Let the lowest number be x then the other is 2x + 7, So:
x(2x + 7) = 1425
2x^2 + 7x - 1425 = 0
2 * - 1425 = -2850 = -2 * 3 * 5 * 5 * 19
We need 2 numbers whose product is -2850 and whose sum is + 7.
These are 3 * 19 = 57 and -2* 5 * 5 = -50 so we write:
2x^2 - 50x + 57x - 1425 = 0 Now we factor by grouping:
2x(x - 25) + 57( x - 25) = 0)
(2x + 57) ( x - 25) = 0
x = -57, 25.
We ignore the negative as we are given that the number is positive,
x = 25 is one number and the other is 2(25) + 7 = 57.
Need to find the common denominator for the fractions which is 120.
Multiply by 60 for 1/6 . Multiply by 24 for 1/5. Multiply by 20 for 2/6. Multiply by 15 for 1/8.
(1)(60)/(2)(60)+(1)(24)/)5)(24)+(2)(20)/(6)(20)+(1)(15)+(8)(15)
= 60/120+18/120+40/120+15/120
= 78/120+55/120
= 139/120 or in mixed number : 1 19/120
Answer: 139/120 , 1 19/120
9 hearts on card 3 and 6 squares on card 3
