Answer:
Slope of the parallel line = -5/2
Slope of the perpendicular line = 2/5
Explanations:
The given equation of the line is:
The slope-intercept form of the equation of a line is:
y = mx + c
where m is the slope of the line
and c is the y-intercept
Comparing this to the given equation
m = -5/2
c = 9
Note:
When two equations are parallel, they have equal slope
When two equations are perpendicular, the product of their slopes equals -1, that is slope of the perpendicular line = -1/m
The slope of the parallel line = -5/2
The slope of the perpendicular line = -1 ÷ (-5/2)
The slope of the perpendicular line = -1 x (-2/5)
The slope of the perpendicular line = 2 / 5
Given:
Jeffery babysits for 4 dollars per hour and works as a math tutor for 7 dollars per hour.
He is only allowed to work 13 hours total per week.
He wants to make at least 65 dollars.
To find:
The system of inequalities to represent this situation.
Solution:
Let x be the number of hours he babysits per week and y be the number of hours h works as a math tutor.
He is only allowed to work 13 hours total per week. It means sum of x and y must be less than or equal to 13.
He wants to make at least 65 dollars. It means total earnings must be greater than or equal to 65.
Number of hours can not be negative.
.
Therefore, the required system of inequalities contains some equations, 
and 
.
Answer:
998/1200 and 997/1200
Step-by-step explanation:
It’s hard to compare 5/6 and 83/100 in their current states. Let’s find a common denominator. Take 600. We know that this will work because both 6 and 100 go into it. Multiplying 5 by 100 and 83 by 6 to find the common denominator, we can compare them at 498/600 and 500/600. However, there is only one number (499/600) between them. Thus, we will multiply each number by 2/2, which is 1. Our numbers are then 996/1200 and 1000/1200. Two numbers between them are then 997/1200 and 998/1200
The correct question is
The local currency it gives is a total of 275 Yuan. <span>If the yuan is worth 6.58 to a US$, what would the price to a US$ be if the yuan changed to 6.25
The </span><span>options are A)$2.21 B)$2.50 C)$13.31 D)$41.79 E)$44.00
we know that
</span><span>at the current exchange rate give (6.58)
</span>if 1 usd-----------------> 6.58 yuan
X usd------------------> 275 yuan
X=275/6.58------------> X=41.79 usd
at the current exchange rate give (6.25)
if 1 usd-----------------> 6.25 yuan
X usd------------------> 275 yuan
X=275/6.25------------> X=44 usd
so
the change in price in US$ would be [44-41.79]=US$2.21
the answer is the option
A)$2.21
They will have the same slope.
