Answer:
4/6 of a pizza.
Step-by-step explanation:
We know that:
Both pizzas are of the same size.
Jasmine cut her's into 12 slices.
Kelly cut her's into 6 slices, and ate 2 slices, then Kelly ate 2/6 of a pizza.
Jasmine ate X of a pizza, and we know that between them ate a total of 1 pizza.
This means that:
X of a pizza + 2/6 of a pizza = 1 pizza
X + 2/6 = 1
X = 1 - 2/6
X = 6/6 - 2/6 = 4/6
Jasmine ate 4/6 of a pizza, knowing that she cut her's into 12 slices, this would mean that she ate 8/12 of a pizza, or 8 slices.
Answer:
145
Step-by-step explanation:
168-23 = 145
i hope this helps :)
Answer:
The addition that matches the problem is the first one.
Step-by-step explanation:
The red line goes back 8 so it is a -8 and the blue line goes forward 4 so it is a postive 4.
4 + (-8) = -4
There are 122,100 public school teachers in Ohio and Ohio has a population of 11.6 million people. Illinois has a population of 12.9 million people. If the number of public school teachers per capita in Illinois was proportional to that of Ohio, how many public school teachers would we expect Illinois to have?
This problem uses proportionality or the relationship between two values. Typically, proportions are expressed as fractions. So, we can set this up as
and we can use this to express both of our values. So, for Ohio, we have 
and for Illinois we have 
. Now, because they are proportional, we can set them equal to each other and we get 
. Now we can cross multiply to get 
. To get the 
alone on one side, we divide by
and we get 124,662.931034, which is about equal to 124,663.
Therefore, we expect Illinois to have 124,663 public school teachers
Simultaneous equation refer to a pair of equations that are solved at the same time.
<h3>What is a simultaneous equation?</h3>
A simultaneous equation refer to a pair of equations that are solved at the same time.
For problem 1;
x = 4 - y ------ (1)
y^2 = 3x + 19 ----- (2)
Substitute (1) into (2)
y^2 = 3(4 - y) + 19
y^2 = 12 - 3y + 19
y^2 +3y - 31 =0
y = 4.27 or -7.27
x = 4 - 4.27 = 0.27
or
x = 4 - (-7.27) = 11.27
For the second problem;
x = 7 - y
y^2 = 5x - 15
Substitute (1) into (2)
y^2 = 5(7 - y) - 15
y^2 =35 -5y -15
y^2 + 5y - 20 = 0
y =2.62 or -7.62
x = 7 - 2.62 = 4.38
OR
x= 7 - (-7.62) = 14.62
Learn more about simultaneous equation:brainly.com/question/16763389
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