Answer:
x=4
y=3
Step-by-step explanation:
we have the following equations
3x+y=15 equation 1
5x-4y=8 equation 2
using equation 1 we have:
y=15-3x equation 3
using equation 3 in equation 2 we have:
5x-4(15-3x)=8
5x-4*15+4*3x =8
5x-60+12x = 8
17x=68
x=68/17
so we have x=4
finally in equation 3:
y = 15-3(4)
y = 15-12
y = 3
The total number of gifts = x+y.
The inequality is:

Key chains cost $1, Magnets $0.50
Total Cost = x + 0.5y
Inequality is:

Without graphing you can solve system by using substitution:

This is one solution where the maximum x value is given.
So the most keychains that can be purchased is 16. However, because magnets are cheaper, more can be purchased as long as cost remains under 20.
If you solve both inequalities for "y", you get the upper and lower bounds for how many magnets can be purchased given a quantity of keychains.

This is complete solution which gives all possible combinations.
(Graph is Attached)
Answer:
100 percent the sun will rise tomorrow but who is to say you will get to see the sun tomorrow? who is to say you won't have a heart attack and die on this material planet tomorrow and won't get to see the sun rise. or what if the sun sends out a solar flare and burns everyone to a crisp and completely demolishes our ozone layer allowing oxygen to excrete from the planet and cooking everyone with solar radiation all at the same time catastrophic winds and earthquakes demolish the planet because of loss of pressure from the gravity field held in check by the oxygen that has left the planet from a destroyed ozone layer leaving everyone to suffocate and die and excruciating death therefore yes the sun will rise tomorrow but certain events are to unfold we could never prognosticate
Step-by-step explanation:
Answer:
X = 11
X = 7
Step-by-step explanation:
Part 1:
The measure of an inscribed angle is half the measure of an intercepted arc. So 1/2 mCE = m∠CDE
158 ÷ 2 = 79
You need to find x so you're going to set your equation of (8x - 9) = 79
Then you're going to add 9 to both sides to get 8x = 88
Divide both sides by 8 to get x = 11
Part 2:
We know that WY is 180 because it's a semicircle. Using this and the knowledge that ∠WXY is half the measure of the intercepted arc (180), we know that our equation should be (13x - 1) = 90
add 1 to both sides and our equation is (13x = 91)
Divide both sides by 13 and...
x = 7
The answer to the equation is b