Answer:
200 pairs of sandals
Step-by-step explanation:
Represent the sandals with x and the running shoes with y.
In a typical month:
In April
Required
The number of sandals in a typical month
<u>In a typical month:</u>
If 1 sandal costs 2.50, then x costs 2.50x
If 1 running shoe costs 4, then y costs 4y
The total is:
<u>In April:</u>
If 1 sandal costs 2.50, then 2x costs 5x ---- <em>we used 2x because the pairs is doubled </em>
If 1 running shoe costs 4, then y costs 4y
The total is:
The equations are:
Subtract
its Greater than
Step-by-step explanation:
the 72 is a positive and -432 is a negative cause it has a minus
Answer:
X=-3
Step-by-step explanation:
3x-5x+4=10
-2x=6
x=-3
note: I wasn’t sure if the equation ended in 10 or 10x. I think it ends at 10 so that is how I solved.
Answer:
5 months
Step-by-step explanation:
We assume that y represents production capacity, rather than <em>increase</em> in production capacity. Then we want to solve the 6th-degree equation ...
x^6 -25x^4 +199x^2 -4975 = 0
This can be factored in groups as ...
x^4(x^2 -25) + 199(x^2 -25) = 0
(x^4 +199)(x^2 -25) = 0
This has 4 complex solutions and 2 real solutions.
x^2 = 25
x = ±5
The duration required for capacity to reach 4975 units is 5 months.
Answer:
15 cm
Step-by-step explanation:
Given:
The two cylinders shown in the figure are similar to each other.
Therefore, when two figures are similar their measures are in proportion.
So, radius and height of both the cylinders are in proportion.
Radius of both the cylinders are 2 cm and 5 cm respectively. Height of the smaller cylinder is 5 cm. Now,
Doing cross multiply, we get:
Dividing both sides by 2, we get:
Therefore, the height of the larger cylinder must be 15 cm in order to make both the cylinders similar to each other.
