Answer:
T=306
Step-by-step explanation:
Simplify both sides of the equation and separate the variable
(or just times 51 by 6)
Answer:
50 and 30.94
Step-by-step explanation:
The coat cost 46.5 pounds after a 7 percent reduction
so we can write:
- 46.5⇒ (100-7)⇒ 93 percent
- x(the initial price) ⇒ 100 percent
using the proprtionality relation:
x= (100*46.5)/93 = 50
so the initial price of the coat is 50 pounds
The jumper costs 32.8 pounds after an increase of 6 percent
so:
- 32.8⇒(100+6)⇒ 106 percent
- x (the initial price)⇒ 100 percent
using proportionality:
x= (100*32.8)/106 = 30.94
the initial price is 30.94 pounds
We know that
<span>Peter has already delivered </span><span> 2 pizzas in 5 minutes
so
1 hour-------> 60 minutes
</span><span>time left------> 60 minutes - 5 minutes--------> 55 minutes
</span>pizzas to deliver to beat his previous record----------> 20-2------> 18 pizzas
therefore
in the next 55 minutes
if the
<span>average per minute = (18/55) pizzas /minute
</span>Pete beat his previous record
<span>
</span>average per minute > (18/55) pizzas /minute
Pete overcome the previous record
average per minute < (18/55) pizzas /minute
Pete will not match the previous record
Answer:
20 males, 7 females
Step-by-step explanation:
x=males
x-13=females
x+x-13=27
2x-13=27
2x=40
x=20
20-13=7
Answer:
x=8, y=-1
Step-by-step explanation:
The figure is said to be a rectangle, which means opposite sides have to be equal in length. From this, we can write a system of equations:
5x-2y=42
2x+3y=13
There are a number of ways to solve this but I'll go with elimination--that means you need to try to remove one variable first by manipulating the equations and solve for the other variable. Then you use the solution to solve for the variable you initially removed. That sounds confusing, but let me show you how to do it.
If you multiply the first equation by 3 and the second equation by 2, you'll have have:
15x-6y=126
4x+6y=26
Now, we can add these two equations. The y will cancel out, so we can easily solve for x.
19x=152
x=8
Use this value of x to substitute back into either of the original equations to find y.
5(8)-2y=42
40-2y=42
-2y=2
y=-1
