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Kryger [21]
3 years ago
12

I need to find x and y

Mathematics
1 answer:
MrRa [10]3 years ago
5 0

Answer:

x =  - 2 \\ y =  - 4

Step-by-step explanation:

- 2x + 2y =  - 4  \:  \:  \:  \:  \:  \\ i.e. \:  \:  \:  - x + y =  - 2 \:  \:  \:  \:  \:  \:  \: ...(1)\\ \\  3x + 3y =  - 18   \\ i.e. \:  \:  \:  \:  \:  \: x + y =  - 6\:  \:  \:  \:  \:  \:  \: ...(2)

From (1) we get

x = 2 + y

Now put x = 2 + y in equation (2)

2 + y + y =  - 6 \\ 2 + 2y =  - 6 \\ 2y =  - 6 - 2 \\ 2y =  - 8 \\  \\ y =  -  \frac{8}{2}  \\  \\ y =  - 4

now put y = -4 in equation (1) we get

- x + ( - 4) =  - 2 \\  - x - 4 =  - 2 \\ x  + 4 = 2 \\ x = 2 - 4 \\ x =  - 2

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Someone help please❤️ & Thankyou!!
S_A_V [24]

Answers:

  • 300 = 12i+36s
  • i = 10
  • Yes it's reasonable
  • i = -11

Refer to the diagram below.

The explanation for each part is below as well.

========================================================

Part 1

i = number of individual nail polish bottles

s = number of sets of 4

12i = money earned from just selling the individual bottles only

36s = money earned from just selling the sets of 4 only

12i+36s = total money earned = 300

12i+36s = 300 is the equation to set up

This is the same as 300 = 12i+36s  because A = B is the same as B = A.

========================================================

Part 2

Plug in s = 5 to represent she sold 5 sets. Let's solve for i

12i+36s = 300

12i+36(5) = 300

12i+180 = 300

12i = 300-180

12i = 120

i = 120/12

i = 10

If she wants to sell $300 worth of product overall, and she already sold 5 sets so far, then she needs to sell 10 individual bottles to reach this monthly goal.

========================================================

Part 3

Yes it's reasonable to reach this goal. This is because the value of i (from part 2) was some positive whole number.

========================================================

Part 4

We'll repeat part 2 but with s = 12

12i+36s = 300

12i+36(12) = 300

12i+432 = 300

12i = 300-432

12i = -132

i = -132/12

i = -11

As the instructions state, we get a negative value. This is not reasonable because we can't sell a negative number of items. A negative number of items in general doesn't make sense.

The instructions further state that $432 was already made and that she exceeded her goal. Meaning that she doesn't have to worry about selling the individual bottles if selling the sets has her reach something over $300.

6 0
3 years ago
Kayla wants to pick the same number of books in 6 boxes.
lina2011 [118]
I think the answer could be A but I'm not so sure because at first Kayla has 6 boxes with x amount of books in the boxes with four left over so the equation would be 6x+4= number of books. So if she then replaces the now five boxes with x amount of books in them and adds four books to each of the five boxes you get 5x+4=number of books so it all equals out to the same number of books on both sides of the equal sign for 6x+4=5x+4
5 0
3 years ago
Now solve the equation 4(x+3)=8. Remember to: Build the equation on your Equation Mat with algebra tiles. Simplify the equation
Ymorist [56]

Answer:

x=-1

Step-by-step explanation:

4(x+3)=8

4x+12=8

4x=-4

x=-1

3 0
3 years ago
Find the value of x in the diagram below
Ghella [55]

Answer:

x=26

Step-by-step explanation:

4x-8+34+76-x=180

4x-x-8+34+76=180

3x+102=180

3x=180-102

3x=78

x=78/3

x=26

4 0
3 years ago
Read 2 more answers
Shirtbarn is having a sale where everything in the store is 40% off. How much will be saved by purchasing $224 of cloths be at t
Hoochie [10]

Answer:

$89.60 will be saved by purchasing $224 of cloths be at the register

Step-by-step explanation:

This problem can be solved by a rule of three.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

In this problem, we have the following measures:

-The total money

-The percentage of money

As the percentage of money increases, so does the total money. It means that the relationship between the measures is direct.

The problem states that Shirtbarn is having a sale where everything in the store is 40% off. It means that in every purchase, you save 40% of the money.

How much will be saved by purchasing $224 of cloths be at the register?

40% of 224 will be saved. So

$224 - 1

$x - 0.4

x = 224*0.4

x = $89.60

$89.60 will be saved by purchasing $224 of cloths be at the register

6 0
2 years ago
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