Answer:
Step-by-step explanation:
3/5 + 1/3
taking lcm we get 15
=<u> 3 * 3 + 1 * 5</u>
15
= <u>9 + 5</u>
15
=14/ 15
Answer:
3.58
Step-by-step explanation:
Given :
y = 2x + 4 -------- eq1
y = 2x - 4 -------- eq2
sanity check : both equations have same slope, so we can conclude that they are both parallel to one another.
Step 1: consider equation 1, pick any random x-value and find they corresponding y-value. we pick x = -2
This gives us y = 2(-2) + 4 = 0
Hence we get a point (x,y) = (-2,0)
Step 2: express equation 2 in general form (i.e Ax + By + C = 0)
y = 2x-4 -------rearrange---> 2x - y -4 = 0
Comparing with the general form, we get A = 2, B = -1, C = -4
Recall that the distance between 2 parallel lines is given by the attached formula (see attached picture).
substituting the values for A, B, C and (x, y) from the previous step:
d = | (2)(-2) + (-1)(0) + (-4) | / √(2² + (-1)²)
d = | -4 + 0 - 4 | / √(4 + 1)
d = | -8 | / √5
d = 8 / √5
d = 3.5777
d = 3.58 (rounded 2 dec. pl)
It is a function, because they do not have a repeating number in the “Y” place (x,Y). If a set of orderd pairs had the y repeating, then it is not a function. The x can repeat, just not the y.
You want to buy 80 ounces of juice.
1- If you decide to buy the 10-ounce bottles:
Number of bottles needed = 80/10 = 8 bottles
each bottle costs $0.4
total cost = 0.4*8 = $3.2
2- If you decide to buy the 16-ounce bottles:
Number of bottles needed = 80/16 = 5 bottles
each bottle costs $0.56
total cost = 0.56*5 =$2.8
Therefore, if you go for the 16-ounce bottles instead of the 10-ounce bottles, you will save:
3.2-2.8 = $0.4
1. The equation that represents Layla's fees according to the information provided is: y= 2x+3, where:
y is the amount earned
x is the number of days
2. The equation that represents Sam's fees according to the information provided is: y= 3x, where:
y is the amount earned
x is the number of days
3. In the graph, you can see that there is a point in which the two lines intercept. In that point, both earn the same amount that is 9 and the number of days is 3. Also, you can find the answer doing the following:
2x+3= 3x
3= 3x-2x
x= 3
Layla and Sam will earn the same amount for dog sitting after 3 days.
-That amount is: $9.
2x+3= 2(3)+3= 9
3x= 3(3)= 9
