Answer:
133.33g
Step-by-step explanation:
Let the:
Mass of 1.2g/cm³ of liquid = x
Mass of 1.8g/cm³ of liquid = y
From our Question above, our system of equations is given as:
x + y = 400........ Equation 1
x = 400 - y
1.2 × x + 1.8 × y = 1.6 × 400
1.2x + 1.8y = 640..... Equation 2
We substitute, 400 - y for x in Equation 2
1.2(400 - y) + 1.8y = 640
480 - 1.2y + 1.8y = 640
- 1.2y + 1.8y = 640 - 480
0.6y = 160
y = 160/0.6y
y = 266.67 g
Solving for x
x = 400 - y
x = 400 - 266.67g
x = 133.33g
Therefore, the mass of the liquid of density 1.2g/cm³ is 133.33g
The second expression uses the greatest common factor and the distributive property to rewrite the sum 60 + 24.
60, 24
60 = 2² × 3 × 5
24 = 2³ × 3
We take the highest common factors -
=> 2² × 3
=> 4 × 3
=> GCF: 12
Therefore, the correct factored expression would be 12(5 + 2), which matches the second expression. Hope this helped!
#3
250 for onetime set up fee and for every jersey so 250+35x is the equation
Answer:
lemonade = 11
Step-by-step explanation:
let p = pink lemonade
let t = sweet tea
create a system of equations -- one with quantity, one with associate costs
p + t = 21
2.5p + 4t = 67.5
substitution method: let t = 21 - p
2.5p + 4(21 - p) = 67.5
2.5p + 84 - 4p = 67.5
-1.5 p = -16.5
p = 11
t = 21 - 11
t = 10
