Answer:
Let the number be x
According to Question ,
2x + 3x = 40
5x = 40
x = 8
therefore , the number is 8
hope that helps uh...☺
Answer:
21 weeks
Step-by-step explanation:
150*21=3150
3150+850=4000
Answer:
x=7
y =-1
Step-by-step explanation:
Given is a system of equations in x and y as

This can be written in matrix form as
Ax = B
![\left[\begin{array}{ccc}1&7\\2&-8\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] =\left[\begin{array}{ccc}0\\22\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%267%5C%5C2%26-8%5Cend%7Barray%7D%5Cright%5D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5Cend%7Barray%7D%5Cright%5D%20%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%5C%5C22%5Cend%7Barray%7D%5Cright%5D)
Let us find inverse of A

![A^{-1} =\frac{-1}{22} *\left[\begin{array}{ccc}-8&-7\\-2&1\end{array}\right]](https://tex.z-dn.net/?f=A%5E%7B-1%7D%20%3D%5Cfrac%7B-1%7D%7B22%7D%20%2A%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-8%26-7%5C%5C-2%261%5Cend%7Barray%7D%5Cright%5D)
X= A ^(-1) B
x=7, y =-1
Answer:
a) 7a/8; b) 5a/8
Step-by-step explanation:
Given:
AP = 2PQ = 2QB
Calculations:
1. A to the midpoint of QB
a = AP + PQ + QB
If 2PQ = 2QB.
PQ = QB and
AP = 2PQ
∴ a = 2PQ + 2PQ = 4PQ
PQ = a/4
AP = 2PQ = a/2
Let M be the midpoint of QB.
AM = AP + PQ + QM
= a/2 + a/4 + a/8
= 7a/8
2. Midpoints of AP and QB
Let N be the midpoint of AP
NM = NP + PQ + QM
= a/4 +a/4 + a/8 =
= 5a/8
Answer:
dresses
Step-by-step explanation:
We are given that
Lucy sews dress in 3/4 hours=
of dress
Lucy sews at constant rate.
We have to find the number of dresses sewed by Lucy in hour.
To find number of dress sewed by Lucy in 1 hour we will use unitary method.
By using unitary method
Lucy sews in 3/4 hours=
dress
Lucy sews in 1 hour=
Lucy sews in 1 hour=
Lucy sews in 1 hour=
dresses
Hence, Lucy sews
dresses in 1 hour.