Answer:
she will spend 10 hours in class 40 hours studying and 20 hours working
Step-by-step explanation:
if u simply start at 1 hour of class u get to see the pattern example:
class. study. work
1 4. 2
she works twice as long as she is in class and studies 4 times longer than in class so for every hour she is in class do the math for this condition. for every class hour multiply by 4 to get her study time and then multiply her class hour by 2 to get her work hours. keep going until the total time of all activities adds to 70
Answer:
150 mL
Step-by-step explanation:
Let x represent the quantity of 75% solution needed. The total amount of alcohol in the 60% mixture will be ...
75%·x + 10%·45 = 60%·(x+45) . . . . . there will be x+45 mL of solution in the end
0.15x = 22.5 . . . . . . . . . . . . . . . . . . . . simplify, subtract .60x+4.5
22.5/0.15 = x = 150 . . . . . . . . . . . . . . mL of 75% solution needed
You will need 150 mL of the 75% solution.
Given:
In the given figure, PS=x, RS=35, UV=20, VW=25 and TW=15
To find:
The scale factor from PQRS to TUVW.
Solution:
We have,
We know that the corresponding sides of similar figures are proportional. The scale factor is the ratio of one side of image and corresponding side of preimage.
The scale factor is:
Therefore, the scale factor from PQRS to TUVW is .
Summaation of a sequence
or see a smaller scale
from 1 to 10
notice
1+10=11
2+9=11
etc
5+6=11
10/2=5
there are 5 pairs
5*11=55
so
1 to 100
1+100=101
2+99=101
...
50+51=101
100/2=50
there ar 50 pairs
50 times 101=5050
the sum is 5050
Answer:
x = 2
Step-by-step explanation:
Simplify both sides of the equation.
−20 = − 4x − 6x
−20 = −4x − 6x
−20 = (−4x − 6x)(Combine Like Terms)
−20 = −10x
Flip the equation.
−10x = −20
Divide both sides by -10.
-10x/-10 = -20/-10
x = 2
