The situation can be modeled with the linear equation:
$75 + y*($75/x) = $100
<h3>
Which of the following equations represents this situation? </h3>
We know that if she wors for x hours, she earns $75.
This means that the amount that she gets per hour is:
R = $75/x.
Now, if she works y more hours, then she gets another $25 (for a total of $100).
We can write this as a linear equation:
y*($75/x) = $25
We can rewrite this as:
$75 + y*($75/x) = $100
So the correct option is B.
If you want to learn more about linear equations:
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Answer:
Words for dividing:
The problem is asking you to divide, because the key word is, "fill empty egg cartons that each hold"
So Mary will fill each carton with 12 eggs each until she runs out.
<em>12 goes into 216 eighteen times exactly.</em>
<em />
<em>and the result is(R means leftovers, which are none here)...</em>
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Hi, Siyasi2 ! Let x = the number of hot dogs, y = the number of chips, and z = the number of drinks. Then we know:
5x + 4y + 5z = 15.75
x = y + 0.75
z = 2x - 1
Let's substitute the 3rd equation into the first one.
5x + 4y + 5(2x - 1) = 15.75
5x + 4y+ 10x - 5 = 15.75
15x + 4y = 20.75
Now, let's re-write the 2nd equation as x - y = 0.75
We now have a system of two equations with two unknowns.
15x + 4y = 20.75
x - y = 0.75
To solve this, we can multiply the bottom equation by 4 and add.
15x + 4y = 20.75
+ 4(x - y = 0.75)
19x = 23.75
or x = 1.25
If x = 1.25, then using the one of the equations above, we can solve for y.
x - y = 1.25 - y = 0.75
.50 = y
Since z = 2x - 1, then z = 2(1.25) - 1 = 2.5 - 1 = 1.50
So, a hot dog is $1.25, chips are 50 cents, and a soft drink is $1.50. Please let me know if you have any questions.
(4x³-5x²-2x+11)/(x+1)
[(x+1)(4x²-9x+7)]/(x+1) + 4/(x+1)
4x²-9x+7 + 4/(x+1)
