Answer:
1 1/8
Step-by-step explanation:
x + 1 3/4 = 2 7/8 ( subtract 1 3/4 to isolate x)
2 7/8 is the same as 23/8
1 3/4 is the same as 7/4
you have to have the same denominator to subtract the fractions so you multiply 7/4 by 2
this gets 23/8 - 14/8 ( you subtract 23-14)
you get 9/8 which is the same as 1 1/8
Answer:
cost of each video game = $5.50
cost of each movie = $4.25.
Step-by-step explanation:
Let m represent cost per movie
g represents cost per video game.
Create two equations to represent the total cost Tammy rented movie and video games in each month, and solve simultaneously for each variable:
First month:
=> equation 1
Second month:
=> equation 2
Multiply equation 1 by 4, and multiply equation 2 by 2 to derive:
4 × ![2m + 3g = 25](https://tex.z-dn.net/?f=%202m%20%2B%203g%20%3D%2025%20)
2 ×
=> equation 3
=> equation 4
Subtract equation 4 from equation 3
You'd have:
- 4g = - 22
Divide both sides by -4
g = 5.5
Thus, the cost of each video game = $5.50.
Substitute g = 5.5 in equation 1 and solve for m.
![2m + 3g = 25](https://tex.z-dn.net/?f=%202m%20%2B%203g%20%3D%2025%20)
![2m + 3(5.5) = 25](https://tex.z-dn.net/?f=%202m%20%2B%203%285.5%29%20%3D%2025%20)
![2m + 16.5 = 25](https://tex.z-dn.net/?f=%202m%20%2B%2016.5%20%3D%2025%20)
Subtract 16.5 from each side
![2m = 25 - 16.5](https://tex.z-dn.net/?f=%202m%20%3D%2025%20-%2016.5%20)
![2m = 8.5](https://tex.z-dn.net/?f=%202m%20%3D%208.5%20)
Divide both sides by 2
![m = 4.25](https://tex.z-dn.net/?f=%20m%20%3D%204.25%20)
Thus, cost of each movie = $4.25.
First, let's prove that triangle ABC and AFG are similar.
Line segment FG and BC are parallel to each other, that's a given.
With this information, we can state that these sides are similar to each other since you can transform BC on to FG using only rigid transformations and dilations.
Another thing is that both of these triangles share angle A, that's a given. Therefore, using the SA similar theorem, we can conclude that these triangles are similar.
Now that we know that triangle ABC and AFG are similar we may start going to the answer box.
We can eliminate the first three answer choices for having sides we cannot make full conclusions due to limited knowledge.
The only answer remaining is the fourth choice.
2,600 is the answer to your question
the product between the mixed numbers is equal to 12 and 1 over 60, which is the first option.
<h3>
How to find the product between two mixed numbers?</h3>
A mixed number is a number that is written as the addition of a whole number and an improper fraction.
Remember that the mixed number "negative two and one third" is written as:
-2 ¹/₃ = (-2 - 1/3)
Here we want to solve the product:
(-2 - 1/3)*(-5 - 15/100)
Notice that all the signs are negative, so the outcome will be positive:
(-2 - 1/3)*(-5 - 15/100) = 2*5 + (1/3)*5 + 2*(15/100) + (1/3)*(15/100)
= 10 + 5/3 + 30/100 + 5/100
= 10 + 5/3 + 3/10 + 1/20
= 10 + 3/3 + 2/3 + 6/20 + 1/20
= 11 + 2/3 + 7/20 = 11 + 40/60 + 21/60
= 11 + 61/60 = 11 + 60/60 + 1/60 = 12 + 1/60
Then the product between the mixed numbers is equal to 12 and 1 over 60, which is the first option.
If you want to learn more about mixed numbers, you can read:
brainly.com/question/1746829
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