Answer:
Third option.
Step-by-step explanation:
You need to cube both sides of the equation. Remember the Power of a power property:
![\sqrt[3]{162x^cy^5}=3x^2y(\sqrt[3]{6y^d})\\\\(\sqrt[3]{162x^cy^5})^3=(3x^2y(\sqrt[3]{6y^d}))^3\\\\162x^cy^5=27x^6y^36y^d](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B162x%5Ecy%5E5%7D%3D3x%5E2y%28%5Csqrt%5B3%5D%7B6y%5Ed%7D%29%5C%5C%5C%5C%28%5Csqrt%5B3%5D%7B162x%5Ecy%5E5%7D%29%5E3%3D%283x%5E2y%28%5Csqrt%5B3%5D%7B6y%5Ed%7D%29%29%5E3%5C%5C%5C%5C162x%5Ecy%5E5%3D27x%5E6y%5E36y%5Ed)
According to the Product of powers property:
Then. simplifying you get:
Now you need to compare the exponents. You can observe that the exponent of "x" on the right side is 6, then the exponent of "x" on the left side must be 6. Therefore:
You can notice that the exponent of "y" on the left side is 5, then the exponent of "x" on the left side must be 5 too. Therefore "d" is:
Answer:
Step-by-step explanation:
Let us represent:
Number of children = x = 59
Number of Adults = y = 166
On a certain hot summer's day, 225 people used the public swimming pool.
x + y = 225
x = 225 - y
The daily prices are $1.75 for children and $2.00 for adults. The receipts for admission totaled $435.25.
$1.75 × x + $2.00 × y = $435.25
1.75x + 2y = 435.25
We substitute 225 - y for x
Hence:
1.75(225 - y ) + 2y = 435.25
393.75 - 1.75y + 2y = 435.25
Collect like terms
-1.75y + 2y = 435.25 - 393.75
0.25y = 41.5
y = 41.5/0.25
y = 166 Adults
Note that:
x = 225 - y
x = 225 - 166
x = 59 children
Hence, the number of children is 59 and the number of Adults is 166
Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.49
Answer:
<em>Option C. Luigi runs 150 laps in 10 hours
. </em>
Step-by-step explanation:
<u>Unit Rate</u>
We need to match for an option having a unit rate of 15 laps per hour.
To find the required rate, we divide the number of laps by the number of hours.
A. Luigi runs 44 laps in 4 hour
. This gives a unit ratio of 44/4 = 11 laps/hour. This is not the correct option
B. Luigi runs 2 laps in 30 hours. This gives a unit ratio of 2/30 =0.07 laps/hour. This is not the correct option
C. Luigi runs 150 laps in 10 hours
. This gives a unit ratio of 150/10 = 15 laps/hour. This is the correct option
D. Luigi runs 60 laps in 5 hours. This gives a unit ratio of 60/5 = 12 laps/hour. This is not the correct option
Option C. Luigi runs 150 laps in 10 hours
.
Answer:
the difference between a number and 10 simply means ,that number minus 10
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