1euro = 1.3687 USD
So 150 Euros = 150*1.3687 USD
=<span>205.305 USD
So he spent $205.305 USD on his trip.
He started off with $250 so to find the amount left we just take
250 - 205.305
= $44.695
Or 44 dollars and 69.5 cents. It's a weirdly exact amount, sure, but the question had a very precise exchange rate, so we'll assume this is fine. </span>
Answer:
2x(x + 3)(2x - 1)
Step-by-step explanation:
Given
4x³ + 10x² - 6x ← factor out 2x from each term
= 2x(2x² + 5x - 3) ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 3 = - 6 and sum = + 5
The factors are + 6 and - 1
Use these factors to split the x- term
2x² + 6x - x - 3 ( factor the first/second and third/fourth terms )
= 2x(x + 3) - 1(x + 3) ← factor out (x + 3) from each term
= (x + 3)(2x - 1)
Thus
4x³ + 10x² - 6x = 2x(x + 3)(2x - 1) ← in factored form
Notice that the denominators are 3 and 7, which are factors of 21.
So express all the fractions with denominator 21:
On Monday
are sold
On Tuesday
are sold
On Wednesday
are sold
by Thursday
of the tickets was sold.
Answer:
Answer:45
Step-by-step explanation:
The diagonals are:
diagonal₁=2x+3y
diagonal₂=(x+8)+(2y+5)
We have to solve the following system of equations:
2x=3y
(x+8)=(2y+5)
We solve this system by substitution method:
2x=3y ⇒x=3y/2
(3y/2 +8)=2y+5
3y+16=4y+10
-y=-6
y=6
x=3y/2=3*6/2=9
we obtain the measure of the diagonals:
diagonal₁=2x+3y=2*9+3*6=18+18=36
diagonal₂=(x+8)+(2y+5)=(9+8)+(2*6+5)=17+17=34
Answer: The longest diagonal is 36 units.
