Let's first turn all the words into numbers:
Two and four tenths = 2.4
One and six tenths = 1.6
Four and one tenth = 4.1
Now lets represent "a number" as x.
Then translate the wording into a linear equation:
![2.4x-3>1.6x-4.1](https://tex.z-dn.net/?f=2.4x-3%3E1.6x-4.1)
Simplify and isolate the variable:
![0.8x>-1.1](https://tex.z-dn.net/?f=0.8x%3E-1.1)
Divide by 0.8
x>1.375 or x>1 3/8
So you do $90 times .40 because 40%=.40 then next you set up your problem
90x.40=36
In total the sales price is $36
The first thing we must do for this case is to take into account the following variable:
x = speed in miles per hour
Then, by definition we have to:
d = v * t
Where,
d: distance
v: speed
t: time
Substituting values:
250 = x * 5
Answer:
An equation that can be used to find the speed of the train is:
250 = x * 5
since each block is 3/8 of a mile, then how many miles in 4½? well, it'd just be their product, but let's firstly convert the mixed fraction to improper.
![\bf \stackrel{mixed}{4\frac{1}{2}}\implies \cfrac{4\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{9}{2}} \\\\\\ \cfrac{9}{2}\cdot \cfrac{3}{8}\implies \cfrac{27}{16}\implies 1\frac{11}{16}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B4%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B4%5Ccdot%202%2B1%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B9%7D%7B2%7D%7D%0A%5C%5C%5C%5C%5C%5C%0A%5Ccfrac%7B9%7D%7B2%7D%5Ccdot%20%5Ccfrac%7B3%7D%7B8%7D%5Cimplies%20%5Ccfrac%7B27%7D%7B16%7D%5Cimplies%201%5Cfrac%7B11%7D%7B16%7D)
The distance between Mary and Rogers houses is 2.47 miles.
<u>Step-by-step explanation:</u>
From the given information we can form a right angle triangle.
Refer to the image given below.
N mentions the north and W mentions the south.
S denoted the School.
M denotes Mary's home - 2.1 miles away from School and forms one side of the triangle.
R denotes Roger's home - 1.3 miles away from School and forms another side of the triangle.
The distance between their houses will be the hypotenuse side of the triangle.
Hypotenuse side =
.
=
.
=
.
=
.
= 2.47.
Distance between their houses =2.47 miles.