Answer:
The merchant buys 30 shirts originally.
Step-by-step explanation:
Let us assume that the merchant bought x numbers of shirts in $120.
So, the cost for each shirt is $
.
Now, if the cost for each shirt is reduced by 1$, then he would have bought 10 shirts more i.e. (x + 10) shirts in $120.
So, we can write the following equation as
⇒(120 - x)(x + 10) = 120x
⇒ 120x - 10x + 1200 - x² = 120x
⇒ x² +10x - 1200 = 0
⇒ x² + 40x - 30x - 1200 = 0
⇒(x + 40)(x - 30) = 0
⇒ x = - 40 or x = 30
But x can not be negative.
Hence, the merchant buys 30 shirts originally. (Answer)
Answer:
6.45 feet
Step-by-step explanation:
He starts 17 and 1/2 feet off the ground
Elevation relative to ground: 17 1/2
Then he increases the height by 4 and 3/4
Expression: 17 1/2 +4 3/4
Elevation relative to ground: 22 1/4
Next he decreases the elevation by 15.8 feet
Expression: 22.25-15.8
Elevation relative to ground: 6.45
The answer 6.45 feet from the ground
Answer:
Length = 30m and Breadth = 10m
Step-by-step explanation:
Given that :
Perimeter = 80 m ;
Breadth = 1/3 of Length ; Length = l
We know that :
Perimeter of rectangle = 2 ( L + B ).
80 = 2 ( L + 1/3 L )
80/2 = 4/3 L.
40 = 4/3 L
3/4 × 40 = L.
3 × 10 = L.
L = 30m.
Breadth = 1/3 of Length.
Breadth = 1/3 × 30.
Breadth = 10m.
Answer:
15.6 in.
Step-by-step explanation:
If the volume of the box is scaled down by a factor of 1/10, that means you just have to move the decimal over to the left by one place value, making the new volume 15.6 in because behind the 156 there's an invisible decimal in case you need it.
Answer:
(x-2)^2+ (y+3)^2 = 64
Step-by-step explanation:
We can write the equation of a circle as
(x-h)^2+ (y-k)^2 = r^2
Where (h,k) is the center and r is the radius
(x-2)^2+ (y- -3)^2 = 8^2
(x-2)^2+ (y+3)^2 = 8^2
(x-2)^2+ (y+3)^2 = 64
