MATHEMATICS COLLEGE

2. 4x - 2y = -6
-6x + 2y = 2

Answers

Answer 1
Answer:

Answer:

x = 2, y =7

Step-by-step explanation:

4x - 2y = -6

-6x + 2y = 2

Add the equations together

4x - 2y = -6

-6x + 2y = 2

-----------------------

-2x = -4

Divide each side by -2

-2x/-2 = -4/-2

x = 2

now find y

-6x+2y =2

-6(2) +2y =2

-12+2y =2

Add 12 to each side

-12+12+2y = 2+12

2y =14

Divide by 2

2y/2 =14/2

y =7

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What is the area of this figure? Please help

Answers

Answer:

Step-by-step explanation:

The square has 4 sides with length 4

The right triangle has the right side equal to 4yd + 4yd(from the square) = 8yd

Using the Pythagorean Theorem, we find that the left side of the triangle has length = 10yd

The area of the whole thing is the area of the square + the area of the triangle

The formula for the area of a square with sides l is A_s = l^2

The area of the triangle is trickier, but you can imagine tracing a line in the left side and the upper side to form a rectangle, and the area of that is A = l * L, the area of the triangle will be half the area of the rectangle so it'll be A = (6 * 8)/(2) = 24 (yd)^(2)

The total area will be;

Area of the square + Area of the triangle = 16 + 24 = 40 yd^(2)

After an 80% reduction you purchase a new sofa on sale for $108 what was the original price

Answers

Answer:

$540

Step-by-step explanation:

Define x as:

x = the Original Price, in dollars ($)

Then,

x - (80%)x = 108, where we note that (80%)x is the reduction amount, so that

20%x = 108,

0.2x = 108,

x = 108/0.2 = $540

Final answer:

The original price of the sofa was $540.

Explanation:

Question:

After an 80% reduction, you purchase a new sofa on sale for $108. What was the original price?

Detailed Answer:

To find the original price, we need to determine what the 80% reduction represents in terms of the original price. If the sale price is 80% of the original price, then we can set up the equation: sale price = 0.2 * original price. We know the sale price is $108, so we can solve for the original price by dividing both sides of the equation by 0.2: original price = $108 / 0.2 = $540. Therefore, the original price of the sofa was $540.

Learn more about original price here:

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Find the distance between the two points

Answers

I got 8.1 units
.
I used the Pythagorean Theorem to find my answer. I plugged in 7 for the long side and 4 for the short side and then solved.
.
Hope this helps :)

A movie theater charges $8 for adults and $4 for children. How much does it cost a party made up of six adults and ten children to attend?

Answers

Answer:

88

Step-by-step explanation:

$8 for adults 6adults is 8x6=48

$4fir children 19 children is 4x10=40

48+40=88

Hope this helps :)
320 dollars
Multiply 8 by 10 and 4 by 10

Does anyone wanna help

Answers

Answer:

b

Step-by-step explanation: you have to multiply the number your starting with and you will get the answer 2x=3p
i think the answer might be b

PLEASEEE HELPPP

Solve for x:

Answers

Second option, just do Pemdas backwards.
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