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zhannawk [14.2K]
3 years ago
9

One month Dante rented 2 movies and 3 video games for a total of$22 . The next month he rented 4 movies and 8 video games for a

total of$57 . Find the rental cost for each movie and each video game.
Mathematics
2 answers:
lys-0071 [83]3 years ago
5 0

Answer:

your answer is in above pic

Bogdan [553]3 years ago
3 0

Answer:

x = $1.25; y = $6.50

Step-by-step explanation:

Let x be the cost of movies and y be cost of video games.

Month 1 has 2x+3y = 22

So here x = (22-3y)/2 and y = (22-2x)/3

Month 2 has 4x+8y =57

Here x = (57-8y)/4 and y = (57-4x)/8

Now you have two options: Find the y or the x. I will demo the x and you can try the y if you wish.

(22-2x)/3 = (57-4x)/8

176-16x = 171-12x

-4x = -5

x = 1.25

Now with the x found, you plug it into either of the y equations to figure out the other variable.

y = (22-2(1.25))/3

y = 6.5

And to double check:

y = (57-4(1.25))/8

y = 6.5

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On a coordinate grid, Pedro's house, P, is located at (-6, -6). He is walking to his friend Quinton's house, Q, located at (13,8
blagie [28]

Answer:

M(3.5, 1)

Step-by-step explanation:

Midpoint formula

x1+x2/2

y1+y2/2

-6 + 13/2 = 3.5

-6 + 2/2 = 1

4 0
3 years ago
Problem 10 / (Second Session 2006)
hammer [34]

Answer:

Find other solutions in explanation

x = 250

y = 1750

Step-by-step explanation:

x = cost per copybook

y = cost per pen

2. Sum of the cost of 4 copy books and 3 pen is equal to 7750

3.)

2x+y=2750 - - (1)

4x + 3y = 7750 - - - (2)

From (1)

y = 2750 - 2x

Substitute y = 2750 - 2x into (2)

4x + 3(2750 - 2x) = 7750

4x + 8250 - 6x = 7750

-2x = - 500

x = 500/2

x = 250

y = 2750 - 2(500)

y = 2750 - 1000

y = 1750

7 0
3 years ago
How many acute, obtuse, and right angles are in this figure?
Tanya [424]
Hey!


I hope you don't mind, but before I answer this question I'd like to do a quick review of some general angles and how to tell which is which.

<span><em><u /></em><span><em><u>QUICK REVIEW</u></em>
</span></span>
So, let's first review what an acute angle is. An acute angle is an angle that is smaller than 90<span>°. The word acute basically means having a sharp or pointy end. So this is a helpful way to remember what an acute angle is.

Now, let's review what an obtuse angle is. An obtuse angle is an angle that is more than 90</span>°. If an angle measures over 90<span>° that it is more than likely that it is an obtuse angle.

Last but not least a right angle. A right angle is an angle that has to be exactly 90</span>°. If an angle is 90<span>° than it is most definitely a right 

<span><em><u /></em><span><em><u>END QUICK REVIEW</u></em>
</span></span>
Let's start by finding out the angle in the top left hand corner. The angle is clearly no more that 90</span>° and is not 90° exactly. This angle must be an acute angle. We can also tell that it is an acute angle because the angle is sharp.

Now let's look at the angle on the bottom left hand corner. The angle is clearly no less than 90° and more than 90° exactly. This angle must be an obtuse angle.

Since the angles are basically the same on the other side, we won't be reviewing those. Now we'll count all the angles we have.

Acute Angles - 2

Obtuse Angles - 2

Right Angles - 0

<em>So, this means that in the figure shown above,</em>  there are 2 acute angles, 2 obtuse angles, and no right angles.

Hope this helps!


- Lindsey Frazier ♥
4 0
3 years ago
Is <img src="https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B5x%5E%7B5%7D%20%7D" id="TexFormula1" title="\sqrt[4]{5x^{5} }" alt="\sqrt[
stira [4]
Answer: It is not

Explanation:
Fourth root 5x^5

(Fourth root 5x)^5
= fourth root 3125x^5
7 0
3 years ago
Please help right now!!!!! Solve the system of equations below. x + y = 7 2x + 3y = 16
motikmotik

Answer:

x=5 and y=2.

Step-by-step explanation:

We have been given a system of equations. We are asked to solve our given system.

x+y=7...(1)

2x+3y=16...(2)

From equation (1), we will get:

x=7-y

Upon substituting this value in equation (2), we will get:

2(7-y)+3y=16

14-2y+3y=16

14+y=16

14-14+y=16-14

y=2

Now, we will substitute y=2 in equation (1).

x+2=7

x+2-2=7-2

x=5

Therefore, the point (5,2) is solution for our given equation.

7 0
4 years ago
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