Answer:
Step-by-step explanation:
2
x
2
+
8
−
4
x
+
3
x
−
6
x
2
+
7
Subtract
6
x
2
from
2
x
2
.
−
4
x
2
+
8
−
4
x
+
3
x
+
7
Add
8
and
7
.
−
4
x
2
−
4
x
+
3
x
+
15
Add
−
4
x
and
3
x
.
−
4
x
2
−
x
+
15
Answer:
$34
Step-by-step explanation:
I'd work backwards.
For the third book, she paid all her remaining money. The problem says she paid "1/2 her leftover money + $3". This means that: (let m = money used to buy book 3)
m = 1/2m + 3
1/2m = 3
m = 6
For the second book: (let n = money before book 2)
n - m (money left after book 2) = 1/2n + 2
1/2n +2 is money used up for book, which is the same as n-m.
n = 1/2n + 2 + m
1/2n = 2 + m = 2 + 6
1/2n =8
n = 16
For the first book, she spent 1/2 her money + 1. If o = money before book 1 (or the whole allowance):
o - n = 1/2o + 1
o = 1/2o + n + 1 = 1/2o + 16 + 1
1/2o = 17
o = 34
Check!
Spent 17 (half 34) + 1 on book 1
16 left
Spent 8 (half 16) +2 on book 2
6 left
Spent 3 (half 6) + 3 on book 3
0 left
[ Answer ]
![\boxed{\bold{X \ = \ 0, \ Y \ = \ 10}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cbold%7BX%20%5C%20%3D%20%5C%200%2C%20%5C%20Y%20%5C%20%3D%20%5C%2010%7D%7D)
[ Explanation ]
- System Of Equations
![\bold{\left \{ {X \ + \ Y \ = \ 10} \atop {Y \ + \ X \ = \ 10}} \right.}](https://tex.z-dn.net/?f=%5Cbold%7B%5Cleft%20%5C%7B%20%7BX%20%5C%20%2B%20%5C%20Y%20%5C%20%3D%20%5C%2010%7D%20%5Catop%20%7BY%20%5C%20%2B%20%5C%20X%20%5C%20%3D%20%5C%2010%7D%7D%20%5Cright.%7D)
-----------------------------------
![\bold{\begin{bmatrix}x+x+10=10\end{bmatrix}}](https://tex.z-dn.net/?f=%5Cbold%7B%5Cbegin%7Bbmatrix%7Dx%2Bx%2B10%3D10%5Cend%7Bbmatrix%7D%7D)
- Isolate x for x + x + 10 = 10: x = 0
For y = 10
Substitute x = 0
Y = 0 + 10
0 + 10 = 10
y = 10
X = 0
Y = 10
![\boxed{\bold{[] \ Eclipsed \ []}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cbold%7B%5B%5D%20%5C%20Eclipsed%20%5C%20%5B%5D%7D%7D)
Answer:
It would cost her $45.
Step-by-step explanation:
25 dollars divided by 5 shirts = 5 dollars per shirt.
5 dollars x 9 shirts = $45 dollars in total.
Answer:
39 hours
Step-by-step explanation:
52 × 45 = 2340
2340 mins into hours = 39 hours
hope this helps :)