<span>The sum of 324, 435, and 546 is 1305. If this number were to be expressed by the base of 7, we would need to figure out what value of exponent would satisfy the requirement. This can be done by setting up an equation where 7 to the power of x must equal 1305. Using logarithms, one can solve for x and find it to be 3.6866853. Thus the sum of the aforementioned numbers, expressed in by the base of 7, is 7^3.6866853.</span>
Answer:
Regular price of a ticket = $60
Step-by-step explanation:
Given:
On purchasing museum tickets in advance customers get 10% off on the regular price of ticket.
Anias paid the sale price of ticket = $54
To find the regular price of ticket.
Solution:
Let the regular price of ticket in dollars be 
Discount offered for booking in advance = 10%
Discount amount in dollars = 
Sale price of a ticket in dollars= Regular price - Discount amount= 
Sale price given for a ticket = $54
So, we have:
Dividing both sides by 0.9
∴ 
∴ Regular price of a ticket = $60
So... Emily gets payed 12 dollars for every hour she works. with and ADDitional 30 dollars by the end of her day. Therefore you would multiply her hourly income (12) by the amount of hours she works (h). Then, add her 30 dollars to it. (Im feeling nice so the answer should look like this ~ 12h + 30.) Hope it helps you <3!
Answer:
[12, 15]
Step-by-step explanation:
{6x + 5y = 147
{8x + 4y = 156
-¾[8x + 4y = 156]
{6x + 5y = 147
{-6x - 3y = -117 ← New Equation
________________
2y = 30
___ ___
2 2
y = 15 [Plug this back into both equations to get the x-coordinate of 12]; 12 = x
So, using the Elimination Method, what I did here was took the bottom equation and multiplied it by -¾, turning 8x to -6x, canceling out all <em>x-terms</em><em>.</em><em> </em>It does not matter which variable you choose to eliminate, as long as you know what you are doing.
I am joyous to assist you anytime.
Answer:
x=8
Step-by-step explanation:
