Answer:
x=5
Step-by-step explanation:
7x-10=25
+10 +10
7x=35
divide by 7 both sides
Answer:
38.25 packages
Step-by-step explanation:
Number of guests = 459
Each guest gets 1 muffin
Muffin comes in packages of 12
Hence,
The number of packages is calculated as:
459/12 = 38.25 packages
Hence, 38.25 packages are needed so there are enough muffins for every guest.
Step-by-step explanation:
Hey, there!!
Given that,

{ we can write (a^2-4) as (a^2 - 2^2) also as (x^2- 9) can be written as (x^2 - 3^2)}.

We have a^2-b^2= (a+b) (a-b), so keep same formula on it.

(x+3) in numerator and denominator gets cancelled,

Therefore, (x-3) is the final value.
<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Answer:
2
Step-by-step explanation:
The discriminant is the quantity under the radical in the quadratic formula ...
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[tex]
When that quantity is positive, the square root is real, and the formula gives two real values for x.
Let X = the number of hours the server works.
The equation for the amount Nick spends is 15x + 47
The next job pays 14x + 54
Set the equations to equal and solve for x:
15x + 47 = 14x +54
Subtract 14x from both sides:
X + 47 = 54
Subtract 47 from both sides:
X = 7
Now replace x with 7 in the second equation:
14x + 54 = 14(7) + 54 = 98 +54 = 152
The job would pay $152 and be 7 hours long.