Answer: 32 room
Step-by-step explanation:

<u>If 1 room = 7.75 yd of carpet ⇒ x rooms = 250 yd of carpet</u>
Use proportions & cross-multiply to solve:

So 250 yd of carpet can cover about 32 rooms.
Hi, the answer to this would be x6/9. I'm assuming the x4/3 and x2/3 are fractions and the x's aren't exponents. Now how I got x6/9 is shown here.
1st Step: Started off by regrouping the terms
1/3x3 x^4x^2
2nd Step: we can easily simplify 3x3 to just 9. And now we're left with 1/9x^4x^2
3rd Step: Now we can simplify the 1/9 to just x^4x^2/9
4th Step: Now we can use the product rule which is simple. So We add the exponents and simplify it to just one exponent. So x4+2=6 that simplifies to just x^6.
Final Answer: x^6/9.
Hope this helped you :)
Answer:
$172,984.44
Step-by-step explanation:
We can use the formula
to compute the final amount
Here P is the principal amount, the original deposit = $25,000
r is the annual interest rate = 6.5% = 0.065 in decimal
n is the number of times the compounding takes place. Here it is quarterly so it is 4 times a year
t is the number of time periods ie 30 years
A is the accrued amount ie principal + interest
Computing different components,



Therefore

Quadratic is in the form
ax^2+bx+c=0
so distribute and stuff and simplify
remember
a(b+c)=ab+ac
(x+2)^2+5(x+2)-6=0
remember order of opertaions
(x+2)(x+2)+5(x+2)-6=0
x^2+4x+4+5x+10-6=0
add like terms
x^2+9x+8=0
Answer:
TU ≈ 12.96
Step-by-step explanation:
Using the Altitude on Hypotenuse theorem
(leg of outer triangle)² = (part of hypotenuse below it) × (whole hypotenuse)
TU² = UV × SU = 6 × 28 = 168 ( take square root of both sides )
TU =
≈ 12.96 ( to the nearest hundredth )