Answer:
7a +19.5 = 112.25
Step-by-step explanation:
A suitable equation is ...
weight of alternators + weight of wheel = total weight
Since one alternator weighs "a", seven of them weigh 7a. Filling in the given values, this equation is ...
7a + 19.5 = 112.25 . . . . . matches choice D
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable
First, find the distance between (-4, 0) and (-1, -3) by using the distance formula, you will get the √18
second, find the distance between (-4, 0) and (-3, 1), the result is √2
so the area is the √18*√2=6
Please refer to this website for the distance formula:
http://www.mathwarehouse.com/algebra/distance_formula/index.php
Answer:
94, 188, 564
Step-by-step explanation:
let x be the first part then the second part is 2x and third part is 3 × 2x = 6x
then
x + 2x + 6x = 846 , that is
9x = 846 ( divide both sides by 9 )
x = 94
2x = 2 × 94 = 188
6x = 6 × 94 = 564
Answer:
They ran for 0.923 hrs and biked for 0.46 hrs
Step-by-step explanation:
First thing to do is write down the inequality of the question
5.2x + 20.8y = 14.4
10.4x + 18.2y = 18
Multiplying the whole equation by 10, so as to eliminate the decimal places, we have.
52x + 208y = 144
104x + 182y = 180
Multiplying the first equation by 2, we have
104x + 416y = 288, next we solve it simultaneously with the second equation
104x + 416y = 288
104x + 182y = 180
Subtract 2 from 1, and we have..
416y - 182y = 288 - 180
234y = 108
y = 0.46
Now, we go back and substitute for y in the earlier equation, so that
52x + 208(0.46) = 144
52x + 95.68 = 144
52x = 144 - 95.68
52x = 48.32
x = 48.32/52
x = 0.929