Answer:
45km
Step-by-step explanation:
Distance covered in 1min 20sec (80sec) = 1km
Distance covered in 1 min (60sec) = 1km/80sec
Distance covered in 1Hr (3600sec) = (1/80)*3600 = 45km.
Let's call the number x. So four times the number minus five would look like
4x-5
Twice the number plus three would look like
2x+3
Now make the two equations equal
4x-5=2x+3
I'm going to subtract 2x from each side
2x-5=3
Now I'm going to add five to each side
2x=8
Now divide both sides by 2
x=4
To double check, just plug back into the original equations
4(4)-5=11
2(4)+3=11
They are equal, so the answer is x=4.
The answer is 10/3
The explanation 2 1/3 cu of flour/ 3 1/2 dozen of cookies = X unknown cu. of flour/ 5 dozen cookies
Cross multiply
3 1/2 X = 5 (2 1/3) Change the mixed numbers into improper.
7/2 X = 5 ( 7/3) Solve for "X." Multiply both sides of equation by reciprocal of 7/2, which is 2/7
(2/7 (7/2)X = 5 (7/3)(2/7) X= 10/3 =Just divide 10 by 3. You should get a whole number
Answer:
1) y = -2/3x - 4
2) y = 4
3) y = x + 5
Step-by-step Explanation
Linear equations are represented by y= mx+b
m is your slope (the rise over the run)
b is the y-intercept (where the graph crosses the y-axis)
Answer:
Rule is (x, y+k)
New point is (-3,9)
Step-by-step explanation:
A point translated vertically k units up means the x coordinate remains the same in the translation but the y coordinate is increased by k units
This can be represented mathematically as;
Let;s assume the point to be A with coordinates (x,y) then to get the image of the point under a vertical translation k units up you add k to the y coordinate value.
Given ;
where T is the translation
In the question
Given (-3,-6) and T is (0,5) the new coordinate will be
