Answer:
17.5
Step-by-step explanation:
soln:
given,
since, x and y are directly proportional
and x=140, y=35
dividing x by y we get,
x/y=140/35
or,x/y=4/1
or,x=4y
when x=70,
x=4y
or,70=4y
•°•y=17.5
Answer:
The value of x that makes the equation equal to 0 is -2.
Step-by-step explanation:
In order to find this, we first must create the composite function using the designated operation. The operation is addition, so we just add them together.
f(x) + g(x) = (f+g)(x)
(x^2 - 2x) + (6x + 4) = (f+g)(x)
x^2 + 4x + 4 = (f+g)(x)
Now, in order to find when this is equal to 0, we need to factor.
x^2 + 4x + 4 = 0
(x + 2)(x + 2) = 0
When it is fully factored, we can set each parenthesis equal to 0 in order to find the value. Since the parenthesis are exactly the same, we only have to do this once.
x + 2 = 0
x = -2
Answer:
$51.12
Step-by-step explanation:
Hello there!
In number 19, we want to find the total price of a sweatshirt that costs $48 dollars but has 6.5% sales tax
Sales tax is a small percentage of the cost of an item that is added to items when they are being sold.
In this problem, 6.5% of the cost of the sweatshirt will be added to the cost of the sweatshirt in the form of sales tax. The price of the sweatshirt plus the amount in sales tax will be the total cost of the sweatshirt.
Translating that as an equation,
48 + 48*6.5%=total cost
You can calculate 48*6.5% as , which is equal to 3.12
So that means that $3.12 will be added to the cost of the sweatshirt.
Therefore,
48 + 3.12=<u>$51.12</u>, which will be the total cost of the sweatshirt, including sales tax
Hope this helps!
Answer:
The remainder is...
7
Hope this helps!!
Step-by-step explanation: