Answer:
We have 40% antifreeze and 70% antifreeze and we need to make 240 liters of 64% antifreeze.
We set up 2 equations where "f" is the 40 % and "s" is the 70%
A) f + s = 240
B) .40f + .70s = (.64 * 240) (or 153.6)
To solve both equations we multiply A) by -.40
A) -.40 f - .40 s = -96.00 then we add this to B)
B) .40f + .70s = 153.60
.30s = 57.6
s = 192
f = 48
48 liters of 40% = 19.20 liters of antifreeze
192 liters of 70% = 134.40 liters of antifreeze
That equals 153.60 liters of antifreeze in a TOTAL liquid amount of 240 liters.
Double Check
153.60 / 240 = 64% antifreeze.
Step-by-step explanation:
The second degree polynomial with leading coefficient of -2 and root 4 with multiplicity of 2 is:
<h3>
How to write the polynomial?</h3>
A polynomial of degree N, with the N roots {x₁, ..., xₙ} and a leading coefficient a is written as:
Here we know that the degree is 2, the only root is 4 (with a multiplicity of 2, this is equivalent to say that we have two roots at x = 4) and a leading coefficient equal to -2.
Then this polynomial is equal to:
If you want to learn more about polynomials:
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Answer:
28° 62°
Step-by-step explanation:
Hope this helps :)
1. x intercept - (2,0)
y intercept - (0,4)
2. x intercept - (3,0)
y intercept - (0,-5)
Answer:
The probability that the truck she selects will have at least one of the two features that Ella Stella wants is 50%.
Step-by-step explanation:
Since a certain store sells small, medium, and large toy trucks in each of the colors red, blue, green, and yellow, and the store has an equal number of trucks of each possible color / size combination, if Stella wants a medium red truck and her mother will randomly select one of the trucks in the store, to determine what is the probability that the truck she selects will have at least one of the two features that Stella wants, the following calculation must be performed:
3 sizes
4 colors
4 x 3 = 12
4 midsize cars
3 red cars
1 medium red car
4 + 3 - 1 = 6
6/12 = 0.5
Therefore, the probability that the truck she selects will have at least one of the two features that Ella Stella wants is 50%.
