Answer:
130 calories in the ice cream and 500 calories in the pie.
Step-by-step explanation:
Let the amount of calories in the scoop of ice cream be x. the amount of calories in the piece of pie be 3x-20. we know that x+3x-20=500.
4x-20=500
If we add twenty to both sides, we end up with:
4x=520
Divide both sides by four, and you get x=130.
there are 130 calories in the scoop of ice cream and 130*4-20=500 calories in the pie.
Answer:
211
Step-by-step explanation:
For this case we have the following system of equations:

We multiply the second equation by -5:

Now we add the equations:

We find the value of the variable "y":

THE solution is: (-6, -3)
Answer:
(-6, -3)
First let's reduce the feet to miles
there are 5280 feet in a mile therefore
26400 feet=5 miles
31680 feet=6 miles
Jet A(the first jet) descends 5 miles in 96 miles
Jet B(the second jet) descends 6 miles in 120 miles
We can compare these as fractions to see which is steeper. This can be viewed as slope and the origin (0,0) is the airport.
slope: 6/120=?=5/96
1/20=?=5/96
Now we know that 5/100 =1/20 so 5/96 must be bigger than 5/100 because you are dividing by a smaller number.
so 1/20<5/96
So Jet B is descending steeper than Jet A.
As for linear model, I don't exactly know what your teacher means but I think I actually used the linear model when I'm thinking of steepness as slope in the coordinate plane, I will include a picture.
In this extremely zoomed out graph, you can see the blue line is just slighly higher than the red line(slope as in explanation is way easier to tell) this could be seen as the linear model) :) Hope it helped!
Answer:
A) False - not a right angle
B) True - it is a right angle
C) True - it is a right angle
D) False-not a right angle
Step-by-step explanation:
A) a*a+b*b=c*c (Asquared+Bsquared=C squared)
2*2+ 3*3 = 4*4
4+9=16
13 does not equal 16
B) 5*5+12*12=13+13
25+144=169
169=169 - True
C) 3*3+4*4=5*5
9+16=25
25=25 (True)
D) 4+ Root of 3 = Root of 19
False - square root of a prime number is irrational