Answer:
15x = y
Step-by-step explanation:
15 times the gallons of gas = miles
15x = y
Answer:
The answer is the last one (32x^7y^15)
You can bring x to the second power (x^2) because (x) is basically x^1. This is a basic exponent rule. (x^m)^n = x^m times n.
Then you can apply this rule to (2xy^3)^5. First you bring two to the fifth power and get 32. Then you bring x^5 according to the rule. Then you bring y^15, also because of the rule.
Now you have:
x^2 times 32x^5y^15
Now you just multiply the like terms together (x^2 and x^5)
When you multiply two exponents with the same base, you add the exponents together: a^n times a^m = a^n+m.
So you end up with 32x^7y^15
Answer:
XS is 9 inches long.
Step-by-step explanation:
Given that
YS is the perpendicular bisector of XZ.
Length of XZ = 18 inches
To find:
Length of XS = ?
Solution:
First of all, let us learn about the perpendicular bisector.
Perpendicular bisector of a line <em>AB</em> is a line <em>PQ</em>, which divides the line AB in two equal parts and is at an angle of 
with the line AB.
If B is on the line PQ, then 
and
Applying the above property in our given question.
Kindly refer to the attached image for the given dimensions.
S is on the line XZ.
So, the answer is XS is 9 inches long.
X = 20
If you multiply both sides by 5 to get rid of the fraction ( x - 60 = -40 ) the answer would become clear.
Answer:
The minimum score required for an interview is 77.252
Step-by-step explanation:
We solve this using z score formula
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
Top 15% of the candidates is a ranking that is equivalent to = 100 - 15% = 85th percentile.
The z score of 85th percentile = 1.036
Mean = 70
Standard Deviation = 7
Minimum score = raw score = ???
Hence:
1.036 = x - 70/7
Cross Multiply
1.036 × 7 = x - 70
7.252 = x - 70
x = 70 + 7.252
x = 77.252
The minimum score required for an interview is 77.252
