Mr. Johnson spends $5 every day at Dunkin Donuts before coming to school. If he works 5 days a week, then what number represents
1 answer:
You might be interested in
Answer: These are some points of the grahp:
(-2,4)
(0, 3)
(2, 2)
Explanation:
1) f(x) = -0.5x + 3, is the equation of the form y = mx + b
2) y = mx + b is slope-intercept equation of a line where the slope is m and the y-intercept is b, so, f(x) = - 0.5x + b has slope m = -0.5 and y-intercept b = 3.
3) To graph f(x) = -0.5x + 3, follow these steps:
- draw two perpedicular axis: vertical axis, labeled y, and horizontal axis, labeled x.
- draw marks on each axis, each mark equivalent to one unit.
- the intersection point of the vertical and horizontal axis is the origin, i.e. point (0,0).
- you can make a table with two or more points:
x f(x) = - 0.5x + 3
-2 4
0 3
2 2
4 1
6 0
4) You can see the graph in the figure attached, and select any of the points on the line either by using the table or by using the equation f(x) = -0.5x + 3.
Answer:
1/30 of a ton
Step-by-step explanation:
Write this as an expression:
1/3 of a ton and 1/2 of a ton were taken to the site.
4/5 of a ton were remove from the site.
Amount of a ton at the site =
Solve the equation by finding <u>common denominators</u> (when the bottom numbers are the same).
Focus on the first part. The least common multiple (LCM) of 3 and 2 is "6", which will become the denominator.
For <u>1/3 to become ?/6</u>, multiply top and bottom by 2.
For <u>1/2 to become ?/6</u>, multiply top and bottom by 3.
Now we can add the numerators together over the same denominator.
Do the same thing as before and change the denominators. The LCM of 6 and 5 is "30".
For <u>5/6 to become ?/30</u>, multiply top and bottom by 5.
For <u>4/5 to become ?/30</u>, multiply top and bottom by 6.
Subtract the numerators:
Answer in tons
Therefore there was 1/30 of a ton of rock left at the construction site.