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Kruka [31]
2 years ago
9

a loss of $500 dollars in the stock market is worse than a gain of $200 in the stock market. Write an inequality that relates th

e rational numbers
Mathematics
1 answer:
BabaBlast [244]2 years ago
4 0

Answer:

-500 < 200

Step-by-step explanation:

In inequality,

less than = <

greater than = >

Less than equal to = ≤

Greater than equal to = ≥,

Here, the given sentence is, loss of $500 is worse than a gain of $200

Generally, loss represents by an amount with a negative sign, That is, loss of $ 500 = - $ 500 Also, worse than is equivalent to less than. Thus, the required inequality would be, -500 less than 200 ⇒ -500 < 200

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The line perpendicular to y= (-3/2)x -4 and goes through (1,4)
Paladinen [302]

Answer <u>(assuming it is allowed to be in point-slope format)</u>:

y-4 = \frac{2}{3}(x-1)

Step-by-step explanation:

1) First, determine the slope. We know it has to be perpendicular to the given equation, y = -\frac{3}{2} x-4. That equation is already in slope-intercept form, or y = mx + b format, in which m represents the slope. Since -\frac{3}{2} is in place of the m in the equation, that must be the slope of the given line.

Slopes that are perpendicular are opposite reciprocals of each other (they have different signs, and the denominators and numerators switch places). Thus, the slope of the new line must be \frac{2}{3}.  

2) Now, use the point-slope formula, y-y_1 = m (x-x_1) to write the new equation with the given information. Substitute m, x_1, and y_1 for real values.

The m represents the slope, so substitute \frac{2}{3} in its place. The x_1 and y_1 represent the x and y values of a point the line intersects. Since the point crosses (1,4), substitute 1 for x_1 and 4 for y_1. This gives the following equation and answer:

y-4 = \frac{2}{3}(x-1)

3 0
3 years ago
A group of fitness club members lose a combined total of 28 kilograms in 1 week. There are approximately 2.2 pounds in 1 kilogra
lesya [120]

Answer:

8.8

Step-by-step explanation:

first you divide 28/7 (because there are 7 days in the week) you take that number, which is 4 and multiply it was 2.2 to convert the 4 kilograms into pounds.

3 0
3 years ago
A small refrigerator is a cube with a side length of 12 inches use the formula S= 6s2 to find the surface area of the cube
Luda [366]

Answer:

Surface area of the refrigerator is 864 in².

Step-by-step explanation:

Formula to calculate the surface area of a cube is,

Surface area = 6s²

Here, s = length of a side of the cube

If side length 's' = 12 inches

By substituting this value in the formula,

Surface area = 6(12)²

                     = 6 × 144

                     = 864 inch²

Therefore, surface area of the refrigerator is 864 in².

6 0
3 years ago
Which expression is equivalent to 15x + 9y?<br>les -0)<br>3(5x + 3y)<br>3xy(5 + 3)​
RUDIKE [14]

Answer:

3(5x + 3y)

Step-by-step explanation: multiply

3 by 5x and 3y

5 0
3 years ago
What is the answer to x over 12=27?
Black_prince [1.1K]
324=x
X/12=27 so you multiply both sides by 12
So 12*27=324=x
6 0
3 years ago
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