Answer: A) x + 4x = 35; 7 large stones and 28 small stones
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Explanation:
x = number of large stones
4x = number of small stones
x+4x = total number of stones = 35
x+4x = 35 is the equation to solve
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Let's isolate x
x+4x = 35
5x = 35
x = 35/5
x = 7 large stones are needed
4x = 4*7 = 28 small stones are needed
Divide 4 7/8 by 3/8:
or 39/8 by 3/8. We can drop the denominators 8 and 8 and find 39/3 = 13.
This guy needs 7 more pieces to end up with 20 pieces.
Answer:
The raw score for his exam grade is 99.69.
Step-by-step explanation:
Given : The professor announced that the mean for the class final exam was 88 with a standard deviation of 7. Given Daniel's z score of 1.67.
To find : What is the raw score for his exam grade?
Solution :
The formula use to find the z-score is
Where, z=1.67 is the z-score
is the means
is the standard deviation
x is the raw score for his exam grade
Substitute the values,
Therefore, the raw score for his exam grade is 99.69.
Answer:
b = -9
Step-by-step explanation:
1. Move the variables to the left side. Be sure to change the terms (add/subtract)
-9b-6 = -3b+48
-9b+3b-6 = 48
2. Combine like terms.
-9b+3b-6 = 48
-6b = 48 + 6
3. Divide both sides by -6.
-6b = 54
b = -9
1. (2,3)
2. (-1,-1)
3. infinitely many
4. coincident
5. consistent independent, coincident, inconsistent (in that order)
