Answer:10 gallons of 30% solution and 30 gallons of 70% solution should be mixed.
Step-by-step explanation:
Let x represent the number of gallons of the 30% solution that should be mixed.
Let y represent the number of gallons of the 70% solution that should be mixed.
The total number of gallons of the mixture to be made is 40. This means that
x + y = 40
The 30% solution of fertilizer is to be mixed with a 70% solution of fertilizer in order to get 40 gallons of a 60% solution. This means that
0.3x + 0.7y = 0.6 × 40
0.3x + 0.7y = 24- - - - - - - - - - - - - -1
Substituting x = 40 - y into equation 1, it becomes
0.3(40 - y) + 0.7y = 24
12 - 0.3y + 0.7y = 24
- 0.3y + 0.7y = 24 - 12
0.4y = 12
y = 12/0.4
y = 30
x = 40 - y = 40 - 30
x = 10
he data shows the distances, in miles, run by runners in a track club. 6, 3, 8, 8, 6, 6, 8, 2, 5, 2, 5, 10, 3, 5 Create a histog
kakasveta [241]
Answer:
To create a histogram of the given data set, we first must check for the frequency of each value.
6, 3, 8, 8, 6, 6, 8, 2, 5, 2, 5, 10, 3, 5
2 - 2
3 - 2
5 - 3
6 - 3
8 - 3
10 - 1
Now that we have the frequencies of each, we need to add them to each range.
0 - 2 : 2
3 - 5 : 5
6 - 8 : 6
9 - 11 : 1
Refer to the image for the histogram.
1. when you see 4(x² - 1), then you have to multiply 4 with everything in the bracket. keep in mind that you always have to be cautious of the sign whether it is a positive or a negative.
positive ×/÷ positive = positive
negative ×/÷ negative = positive
positive ×/÷ negative = negative
negative ×/÷ positive = negative
^ you have to remember this.
2. only like terms (same alphabet) can plus or minus each other.
3. simplify by taking out the common factor and placing it outside the bracket.
Answer:
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