Imagine first splitting 6 wholes up into fourths. That means that, for each whole (each 1) in 6, we're creating 4 equal slices. This gives us 4 x 6 = 24 total slices, which we call <em>fourths</em>. How many groups of <em>3 fourths </em>(3/4) can you make out of those <em>24 fourths </em>(24/4)? If we throw aside the label <em>fourths</em> for a minute, in general, if we have 24 <em>things</em>, how many groups of 3 <em>things</em> can we make out of those? Well, our answer there would just be 24 ÷ 3 = 8 groups.
The same thing applies to fourths. If we have 24/4, and we divide it by 3/4, we get 24 ÷ 3 = 8 groups again, so our answer is <em />8 3/4-pound packages.
Answer:
120
Step-by-step explanation:
First, you have to calculate the money that Seth would spent if he goes to 30 movies if his father gets the summer movie pass by adding up the cost of the pass plus the result of multiplying the cost per movie with the pass for the number of movies:
30+(3*30)=30+90=120
Second, you need to calculate the money that Seth would spent if he goes to 30 movies without the pass by multiplying the normal price per movie for the number of movies:
8*30=240
Third, you need to find the difference between both costs:
240-120=120
According to this, the answer is that if Seth plans to go to 30 movies this summer, he would save 120.
The point (3, 2) is the solution to given system of equations
<em><u>Solution:</u></em>
Given that system of equations are:
------ eqn 1
------- eqn 2
From eqn 2,
y = 2x - 4
Substitute y = 2x - 4 in eqn 1
Let us solve the above equation by quadratic formula,
Using the Quadratic Formula for 
where a = 5, b = -16, and c = 3
The discriminant 
so, there are two real roots.
Substitute for x = 0.2 and x = 3 in 2x - y = 4
<em><u>when x = 3</u></em>
2(3) - y = 4
6 - y = 4
y = 2
<em><u>when x = 0.2</u></em>
2(0.2) - y = 4
0.4 - y = 4
y = 0.4 - 4
y = -3.6
Thus Option D is correct The point is (3, 2)
Answer:
214.34
Step-by-step explanation:
.95^3=.857375
.857375(250)= 214.34375
