Answer:
See below.
Step-by-step explanation:
x-7≤3x+1
+7 +7
x≤3x+8
-3x -3x
-2x≤8
/-2 /-2
x≥-4
The inequality symbol reverses when divided/multiplied by a negative term.
-hope it helps
Answer:
x = 58
Step-by-step explanation:
This question can be solved by using the exterior angle property, which states that the exterior angle of a triangle = the sum of the two opposite interior angles.
62 lies on a line, so the exterior angle is 180 - 62, or 118 degrees.
Using the EAP, we can conclude the following:
(x + 2) + (x) = 118
2x + 2 = 118
2x = 116
x = 58
Hope this helps
Assume the missing sequence is x
so -1536 / 384 = x / 24
so x = (24* - 1536) / 384
so x = -96
the answer is C. -96
When we say that y varies <em>directly </em>with x, we mean that whatever value x is scaled up by, y will be scaled up by, too. The simplest kind of direct variation is one where y = x for all values of x. If you multiply x by some value, y must be multiplied by that same value.
More generally, though, you'll have something of the form y = kx, where the variable k here is referred to as the <em /><em>constant of proportionality.</em> Another way you can think of k is as the <em>ratio of y to x</em>.
In this problem, you're given a set of values for x and y, and you'll need to use those to find the constant of proportionality before you set up an equation relating x to y. Substituting our general equation y = kx for the given values, we have:
-5 = k(15)
To get k, simply divide both sides by 15 to obtain:
k = -5/15 = -1/3
So, our general equation, for <em>any x</em>, would be y = (-1/3)x
Answer:
306 km
Step-by-step explanation:
put both of them to equal in ratio form so now
85 / (7/6) = x / (21/5)
85 * (21/5) = 7/6x
357 = 7/6x
x = 306 km
