10. The ratio of the number of male employees to the number of female employees in Westlake high school is 6:5. There are 40 females in the school. How many total employees are in Westlake high school?
Answers
Answer:
45
Step-by-step explanation:
Male = 6 Male = ?
Female = 5 Female = 40
^
? = 6x5 because 5x5 = 40
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The volume of cylinder is 448 pie cm cube and height 7 cm find its radius
Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores in recent years has been Normal with mean 513 and standard deviation 81. Gerald takes the ACT Assessment mathematics test and scores 27. ACT math scores are Normally distributed with mean 22.7 and standard deviation 4.What is Elanor's standardized score?
Determine whether or not the two equations below have the same solution. In two or more complete sentences, explain your rationale.2/3x + 3/4 = 8 8x=87
Solve for x: −2x + 5 < 7
Answers
so slope=1
-3 / -3
1
The slope is 1
Help asap!!!
Answers
Answer:
3 1/5 = 16/5
4/16 = 1/4
simply and find a common denominator, in this case it is 20. Multiply the top and bottom by the same number, to get the bottom to twenty. So, to get 5 to 20, you must multiply by 4, so you have to multiply the top by 4 too, which is 64. Do the same for the next fraction.
16/5 = 64/ 20 (both x4)
1/4 = 5/20 (both x5)
now add
64/20 + 5/20 = 69/20
69/20 is the final answer because it cannot be simplified futher.
Answer:
Step-by-step explanation:
3 1/5 + 1/4
3 4/20 + 5/20
3 9/20
Answers
Roots are
Δ=(-5)²-4*(-1)*(1)=29
Answers
Representing the scenario as an equation,the ages of Mr. Morgan's daughters are 3,6,9,12 and 15.
Given the parameters:
- Number of daughters = 5
owing to constant difference between their ages :
- Let 'oldest' = 5a , 'youngest' = a
Since we are told that the difference between the ages of the youngest and oldest is 12 :
- 5a - a = 12
5a - a = 12
4a = 12
a = 12/4
a = 3
Youngest is 3 ;
oldest = 5(3) = 15
The ages of the other 3 will be ;
- 3 * 2 = 6
- 3 * 3 = 9
- 3 * 4 = 12
Hence, their ages are 3,6,9,12 and 15.
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5x - x = 12
x = 3
The youngest is 3 and the oldest is 15.
The ages are: 3, 6, 9, 12, 15
Answers
when he put them in 3 stacks there was 1 card left over
we can tell that if he took away one of his card and divided
the stack of cards by two or three the number would be the
same
so he divides it by 4 5 and 6 so the number of cards is not divisible by 2,3,4,5,6
but it is divisable by 7
so we must find a number that when you subtract one you can divide it by 2,3,4,5,6
so i just guessed a term from 7^n
so 49 doesn't work because 48 doesn't divide into 5
343 doesn't work because 342 doesn's divide by 6
but 2401 (7^4) works because 2400 divides evenly by 2,3,4,5, and 6
Just a note, this number is not very logical that he would have time to count them all but hey, it's math
B. –2 < x < 2
C. –6 < x < 2
D. –21 < x < 3
Answers
The solution to the inequality |3x + 6| < 12 is -6 < x < 2, which corresponds to option C.
To solve the inequality |3x + 6| < 12, we can break it down into two separate inequalities:
3x + 6 < 12
-(3x + 6) < 12
Solving the first inequality:
3x + 6 < 12
Subtracting 6 from both sides:
3x < 6
Dividing both sides by 3 (since 3 is positive, we don't need to change the direction of the inequality):
x < 2
Solving the second inequality:
-(3x + 6) < 12
Distributing the negative sign:
-3x - 6 < 12
Adding 6 to both sides:
-3x < 18
Dividing both sides by -3 (since -3 is negative, we need to change the direction of the inequality):
x > -6
Combining the solutions from both inequalities, we have:
-6 < x < 2
Therefore, the correct option is C. -6 < x < 2.
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Answer C
if 3x+6>0 then |3x+6|=3x+6
==> 3x+6<12==>3x<9==>x<2
else
|3x+6|=-3x-6
-3x-6<12==>-3x<18==>x>-6
-6<x<2