x = liters of 40% solution
y = liters of 70% solution
Gabe needs 30 liters, so
x + y = 30
Each liter of 40% solution contributes 0.4x liter of acid; each liter of 70% solution contributes 0.7y liter of acid. Gabe needs a solution with concentration 60%, which from 30 liters amounts to a net volume of 0.6*30 = 18 liters of acid. So
0.4x + 0.7y = 18
Solve the system however you like. By substitution, we have
y = 30 - x
0.4x + 0.7(30 - x) = 18
0.4x + 21 - 0.7x = 18
3 = 0.3x
==> x = 10 ==> y = 20
The answer is 25, 33. The difference between each consecutive number is 8.
Answer:
10
3.59
6 7/12
Step-by-step explanation:
4 - (-6)
= 4+ 6 ( because when we multiply the negative sign with the negative sign we get a positive sign or a plus sign)
= 10
-2.5 + 6.1 -10.3 - (-7.79) -4 + 6 1/2
= -2.5 + 6.1 -10.3 +7.79 -4 + 6.5 [ (-*-=+) ( converting 6 1/2 into decimal = 6.5)]
= 6.1+7.79+ 6.5 -2.5 -10.3-4 { adding the + numbers and - numbers separately}
= 20.39 - 16.8 { subtracting the totals of + and - numbers}
= 3.59
8 5/6 + (-2 1/4)
= 53/6 - 9/4 { Converting into improper fractions}
= 53( 2) - 9(3)/12 { Taking LCM = 12}
= 106-27/12
= 79/12
= 6 7/12
{ Converting into improper fractions and vice versa}
- we multiply the denominator with the whole number and add it to the numerator to get the improper fraction.( 8 5/6= 53/6)
- we divide the numerator with the denominator the answer gives the whole number and the remainder gives the numerator of the proper fraction. ( 79/12 = 6 7/12)
{ Taking LCM = 12}
Factors of 6 are 3 and <u>2</u>
Factors of 4 are 2 and <u>2</u>
Least Common Multiple is taking the common factors and multiplying it with the rest . 2 is common in both . It will be taken once and then multiplied with the other 2 and 3 so we get
LCM = 2*2*3= 12
0.1 lengths is left of centimeters
Answer:
8.54
Step-by-step explanation:
formula:
d= 8.54
