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zavuch27 [327]
3 years ago
14

I’m not sure how to do this

Mathematics
1 answer:
Marianna [84]3 years ago
7 0

Answer36

Step-by-step explanation:gta

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Gabe Amodeo, a nuclear physicist, needs 30 liters of a 60% acid solution. he currently has a 40% solution and a 70% solution. ho
ludmilkaskok [199]

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

7 0
3 years ago
 what 2 numbers should be placed in the blanks below so that the difference between consecutive numbers is the same?      17,_,_
Komok [63]
The answer is 25, 33. The difference between each consecutive number is 8.
5 0
3 years ago
URGENT: I need to solve this problem: 4 - (-6), but that's not all, I'm not really good at math and I need step by step answers
Rama09 [41]

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

3 0
4 years ago
Estimate the volume of a cube with side<br> lengths of 4.1 centimeters.
sashaice [31]
0.1 lengths is left of centimeters
7 0
2 years ago
Find the distance between the two points rounding to the nearest tenth
mixas84 [53]

Answer:

8.54

Step-by-step explanation:

formula:

d=\sqrt{(x2-x1)^2 + (y2-y1)^2}

d=\sqrt{(-4 - (-7))^2 + (0-(-8))^2}

d=\sqrt{3^2 + 8^2}

d=\sqrt{9 + 64}

d=\sqrt{73}

d= 8.54

6 0
3 years ago
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