She paid $100 because she bought the almonds for $77 then she received $23 back (100-77=23) (77+23=100)
Let's find the value of x
Since the sum of internal angles of a triangle is 180°
therefore,






Answer:
19.87 Pizzas are left
Step-by-step explanation:
To solve, just take 35 the number of starting pizzas and then subtract the number pizzas both of them consumed. So, 35 - 6.8 given 4/5 converts to 0.8 this leaves use with Bob's pizza consumption only at 28.2 pizza's left. Next, we are going to take 28.2 - 8.33 given 1/3 is .3333 repeating this then gives us the answer with having 19.87 pizzas left - although if it asks how many whole pizzas you would say 28 given you can't have .87 of a pizza.
Answer:
48.5
Step-by-step explanation:
The constant of proportionality in this case is the speed at which Andrew travels.
We know that the speed is equal to:
v = d / t
We know the distance that is 145.5 miles and the time is 3 hours, replacing:
v = 145.5 / 3
v = 48.5 mi / h
which means that the equation would be:
y = k * x
where k, that is, the constant of proportionality is the velocity 48.5.
y = 48.5 * x
To check if for example x is worth 3, it would be:
y = 48.5 * 3
y = 145.5
Answer:
If you choose any value for k other than 6, that will be give you the one solution.
If k=6, you have no solutions because the lines will be parallel.
Step-by-step explanation:
We are going to put each of this in y=mx+b where m is the slope and b is the y-intercept.
kx+2y=5
Subtract kx on both sides:
2y=-kx+5
Divide both sides by 2:
y=(-k/2)x+(5/2)
The slope is -k/2 and the y-intercept is 5/2
3x+y=1
Subtract 3x on both sides:
y=-3x+1
The slope is -3 and the y-intercept is 1.
We want the system to have one solution so we want the slopes to be difference.
So we don't want (-k/2)=(-3).
Multiply both sides by -2: k=6.
We won't want k to be 6.