Marcie solved the following inequality, and her work is shown below: −2(x − 5) − 12 ≤ 4 + 6(x + 3) −2x + 10 − 12 ≤ 4 + 6x + 18 −2x − 2 ≤ 6x + 22 −8x ≤ 24 x ≤ −3 What mistake did Marcie make in solving the inequality?

Answers

Answer 1

Answer: This is what she did:

−2(x − 5) − 12 ≤ 4 + 6(x + 3)
−2x + 10 − 12 ≤ 4 + 6x + 18
−2x − 2 ≤ 6x + 22
−8x ≤ 24 x ≤ −3

The mistake is in the last step.
she divided by -8 and she didn't chage the sign of inequality.
When you multiply or divide by a negative number the sign of the inequality has to be changed.

The right step would show:
x ≥ -3

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Jan bags of hot fries go $0.20 each and some them for $1.00 each. what was the percent of increase?

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The answer is 80% because it was 0.20 before then it was 100% so just do 20+80=100

A square has a side length of 4\19x - 9 units. what is its perimeter in terms of x?a) 4\19x - 36

b) 16\19x-9

c) 16\19x-36

d) 16\19x +36

Answers

16/19 x-36 is the perimeter of square whose side length is 4\19x - 9 units

What is Square?

square, in geometry, a plane figure with four equal sides and four right (90°) angles. A square is a special kind of rectangle (an equilateral one) and a special kind of parallelogram

We need to find the perimeter of square whose side length is 4\19x - 9 units.

Perimeter of square=4a

Where a is length of side

a=4\19x - 9

Perimeter of square=4(4\19x - 9)

Apply distributive property

=16/19 x-36

Hence 16/19 x-36 is the perimeter of square whose side length is 4\19x - 9 units

To learn more on Square click:

brainly.com/question/28776767

#SPJ2

The answer is c because you add 4/19x four time because it is a square. That will be 16/19x. Then you add -9 four time for the same reason and end up with -36.

okay so my homework says the measures of two angles of a triangle are given.Find the measure of the third angle please help??????!!!!!!!!!!

Answers

Do you remember hearing that the angles of every triangle in the world
all add up to the same number ? They always add up to 180 degrees.

If you know the measures of two of the angles, then just take those away
(subtract) from 180 degrees, and whatever you have left must be the last angle.

For example, let's take the last one on your list:

54 and 36 are given.

180 minus 54 = 126
then
126 minus 36 = 90 . . ==> the missing angle is 90 degrees
===================================================
Another way to do it: One addition and one subtraction.

(54 + 36) = 90 That's the total amount you have to take away from 180.

180 minus 90 = 90 <== that's the missing angle.

The weight of an object on Venus is directly proportional to the weight of the object on earth. A person who weighs 160 lbs on Earth weighs 20 lbs on Venus. How much would a 200-lb person weigh on Venus?

Answers

Answer:

25 pounds.

Step-by-step explanation:

The ratio is 8 pounds on earth is one pound on Venus. As the example shows 160 to 20. 160/8=20. This proves it. Then 200/8=25. There is your answer. :) Tell me if you need anything else.

Answer is 25 pounds hope I helped

Which of the following is an equation of the circle with its center at (0,0) that passes through (3,4) in the standard (x,y) coordinate plane?F. x – y = 1
G. x + y = 25
H. x^2 + y = 25
J. x^2 + y^2 = 5
K. x^2 + y^2 = 25

Answers

The distance from the origin to the point (3,4) is the radius of the circle.

That distance is √(3² + 4²) = √(9 + 16) = √25 = 5 .

The equation of a circle centered at the origin is

x² + y² = (radius)²

So this circle is [ x² + y² = 25 ]

That's Choice-'K'.

What is the scientific notation of 0.0121

Answers

You move to the right, so the exponent is gonna be negative.
1.21 * 10-²

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