5x+2y=3
-5x on both sides
2y=3-5x
divide by 2 on both sides
y=3/2-5/2x
rewrite in order (optional depending on teacher)
y=-5/2x+3/2
Step-by-step explanation:
step 1. graph f(x) = 2x + 6
step 2. y = mx + b. (slope intercept form)
step 3. b = 6 which is the y intercept so put a dot on (0, 6) or on the y axis at 6
step 4. m = 2 so put another dot up 2 and over to the right 1 from the y intercept
step 5. draw a line through your 2 points and you are done.
This is an inverse or indirect variation problem that would be set up as y=k/x if you were using y and x. Since you are using h and t, it would look like this:
h=k/t, where k is the constant of variation. Fill in the formula with the h and the t they give you: 2=k/70. Multiply both sides by 70 to get a constant of variation value of 140.
Given:
<span>mantle layer of earth begins about 70 kilometers underneath the surface
</span><span>outer core begins about 2970 kilometers underneath the surface
Since we need to find the position of each layer </span><span>relative to the surface, the surface will serve as the point of origin or 0. Below the surface infers a negative value. So, Mantle layer is -70 km from the surface while outer core is -2970 km under the surface.
Comparing -70 and -2970, -70 has a greater value than -2970. The nearer the number is to the origin or 0, the higher its value.
Comparing the absolute greater value of -70 and -2970, -2970 has a greater absolute value. This is because absolute value is the positive value of the number. Absolute value of -70 is 70 while absolute value of -2970 is 2970. Thus, -2970 has a greater absolute value. </span>
Answer:
2/5
Step-by-step explanation:
Probability is the chance that a certain event occurs out of the total events.
Here, the event of "choosing a blue card". The total events are just "choosing any card".
There are 24 blue cards and 24 + 20 + 16 = 60 cards in total. So, we just take 24 and divide it by 60: 
. Simplifying, we get:
Thus, the answer is 2/5.
Hope this helps!
