Answer:
Kenneth will earn about $ 504 the next week
Step-by-step explanation:
The first thing we will have to figure out is how much Kenneth earns per hour. Then we can get how much he will earn when he wors for 42 hours.
to get Kenneth's wage per hour, we will divide the sum he is paid in the first week by the number of hours he worked that week.
This is 450/ 37.5 = 12 dollars per hour.
Kenneth earns $12 per hour.
If Kenneth works for 42 hours, he will earn 42 X 12 = $ 504 the next week
Answer:
To rent a jet ski you need to pay $50 and to rent a kayak you need to pay $20
Step-by-step explanation:
Since both shops charge the same amount for each kind of vehicle, we will assign variables to the their cost. The cost of a jet ski will be "x" and the cost of the kayak will be "y". Therefore we can create a system of equations as shown below:
Will's shop:
12*x + 9*y = 780
Fun Rentals:
7*x + 11*y = 570

We can isolate "x" on the second equation, we have:

Applying this value on the first equation:
![12[\frac{570 - 11y}{7}] + 9y = 780\\\frac{6840 - 132y}{7} + 9y = 780\\\frac{6840 - 132y + 63y}{7} = 780\\ 6840 - 132y + 63y = 5460\\6840 - 69y = 5460\\69y = 1380\\y = 20](https://tex.z-dn.net/?f=12%5B%5Cfrac%7B570%20-%2011y%7D%7B7%7D%5D%20%2B%209y%20%3D%20780%5C%5C%5Cfrac%7B6840%20-%20132y%7D%7B7%7D%20%2B%209y%20%3D%20780%5C%5C%5Cfrac%7B6840%20-%20132y%20%2B%2063y%7D%7B7%7D%20%3D%20780%5C%5C%206840%20-%20132y%20%2B%2063y%20%3D%205460%5C%5C6840%20-%2069y%20%3D%205460%5C%5C69y%20%3D%201380%5C%5Cy%20%3D%2020)
Applying the value of "y" we found on the "x" equation above, we have:
Therefore to rent a jet ski you need to pay $50 and to rent a kayak you need to pay $20
Answer:
mATHeMaTics is Very FUN
Step-by-step explanation:
When coding the word OUCH using the Bacon's code alphabet with binary numbers we have:
O=01110
U=10100
C=00010
H=00111
Following the rule of lowercase and uppercase letters in the dummy message we will have:
O U C H
0 1 1 1 0 1 0 1 0 0 0 0 0 1 0 0 0 1 1 1
m A T H e M a T i c s i s V e r y F U N
Answer:
∠x = 72°
Step-by-step explanation:
since two sides are equal, their opposite angles are equal.
Then the upper angle is also equal to 54°.
All triangle angles add up to 180°.
∠x = 180 - 54 - 54 = 72°
Answer:
The exponent of y is 1
Step-by-step explanation:
Given

Required
Convert to fractional exponent
Here, we simply apply the following law of indices:

So, the expression becomes:



<em>From the above expression, the exponent of y is 1</em>