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:
Answer:
Step-by-step explanation:
The intersection is when both functions have same coordinates
Substitute to get
- - 2x + 16 = 4x + 10
- 4x + 2x = 16 - 10
- 6x = 6
- x = 1
The y- coordinate is
- y = - 2(1) + 16 = -2 + 16 = 14
So the intersection point is (1, 14)
Answer:
Mean: 41.8
Median:41
Mode:27
Range:46
Step-by-step explanation:
<span>there are 16 cups in one gallon</span>
Answer:
Step-by-step explanation:
1. 3.8 x 10^5 + 5.5 x 10^5 = 930,000 or 9.3 x 10^5
You just have to solve the equation and shorten the answer. For number one the answer is 930,000, so you have to make it into a number with decimals since a scientific notation number can not be equal to 10 or be greater. So you have to round the number to 9.3 not 93. To "round" it to 9.3 you have to move the decimal at the end of 930,000 to be in between the numbers 9 and 3. How many times you move the decimal to the left or right, that is the exponent of 10. So for 930,000 you moved the decimal 5 times to the left so the exponent for 10 is positive 5.
