3p + 2n = 8.25 ....multiply by 2
2p + 3n = 8 .........multiply by -3
-------------------
6p + 4n = 16.5 (result of multiplying by 2)
-6p - 9n = - 24 (result of multiplying by -3)
-------------------add
-5n = - 7.5
n = -7.5 / -5
n = 1.50 .............notebooks cost 1.50 each
2p + 3n = 8
2p + 3(1.50) = 8
2p + 4.50 = 8
2p = 8 - 4.50
2p = 3.50
p = 3.50/2
p = 1.75......pens cost 1.75 each
so 2 pens and 2 notebooks cost : 2(1.75) + 2(1.50) = $ 6.50 <==
Answer:- A) 407 tenths =40.7
B) 209 hundredths=2.09
Explanation:-
We know that one tenth
and one hundredth
A) 407 tenths

Thus decimal form of 407 tenths is 40.7.
B) 209 hundredths

Thus decimal form of 209 hundredth is 2.09.
Answer:
Area:
feet²
Perimeter:
feet
Step-by-step explanation:
The <u>formula of finding the </u><u>area</u><u> of a rectangle</u> or square is <u>width multiplied by length</u>.
The <u>formula of find the </u><u>perimeter</u><u> of a rectangle</u> or square is <u>width+width+length+length</u>
Area:
feet²
Perimeter:



To find the product of (4x-5y)^2,
we can rewrite the problem as:
(4x-5y)(4x-5y) (two times because it is squared)
Now, time to use that old method we learned in middle school:
FOIL. (Firsts, Outers, Inners, and Lasts)
FOIL can help us greatly in this scenario.
Let's start by multiplying the 'Firsts' together:
4x * 4x = <em>16x^2</em>
Now, lets to the 'Outers':
4x * -5y = <em>-20xy</em>
Next, we can multiply the 'Inners':
-5y * 4x = <em>-20xy</em>
Finally, let's do the 'Lasts':
-5y * -5y = <em>25y</em>^2
Now, we can take the products of these equations from FOIL and combine like terms. We have: 16x^2, -20xy, -20xy, and 25y^2.
-20xy and -20xy make -40xy.
The final equation (product of (4x-5y)^2) is:
16x^2 - 40xy + 25y^2
Hope I helped! If any of my math is wrong, please report and let me know!
Have a good one.