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mario62 [17]
3 years ago
6

The product of a number and 1.5 is less than the absolute value of the difference between 20 and 5. What are all the possible va

lues of the number?
Show your work. ​

Mathematics
1 answer:
Goshia [24]3 years ago
4 0

Answer:

  any value less than 10

Step-by-step explanation:

Let x represent the number.

  1.5x < |20 -5|

  1.5x < 15 . . . . simplify

  x < 10 . . . . . . divide by 1.5

The number may be any value less than 10.

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Misha Larkins [42]
X/6=12, we have to eliminate the 6 so that the x is by itself. In order to do that we have to multiply each side by 6. So we get x=72
7 0
3 years ago
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What is the least common denominator of 9,8,6,5
Alex

Answer:

1

Step-by-step explanation:

LCD = 1

Equivalent Fractions with the LCD

9 = 9/1

8 = 8/1

6 = 6/1

5 = 5/1

Solution:

Rewriting input as fractions if necessary:

9/1, 8/1, 6/1, 5/1

For the denominators (1, 1, 1, 1) the least common multiple (LCM) is 1.

LCM(1, 1, 1, 1)

Therefore, the least common denominator (LCD) is 1.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

9 = 9/1 × 1/1 = 9/1

8 = 8/1 × 1/1 = 8/1

6 = 6/1 × 1/1 = 6/1

5 = 5/1 × 1/1 = 5/1

4 0
4 years ago
Hari's weekly allowance varies depending on the number of chores he does. He received $18 in allowance the week he did 10 chores
kifflom [539]

Answer:

y=1/2x+13

Step-by-step explanation:

The slope-intercept form is: y=mx+b, where m is the slope and b is the y-intercept of the line. First, you have to calculate the slope using the following formula:

m=y2-y1/x2-x1

You have two points:  (6, 16), (10,18) as the chores are the independent variable which is x, and the money is the dependent variable which is y.

Now, you can replace the values in the formula:

y2=18

y1=16

x2=10

x1=6

m=(18-16)/(10-6)

m=2/4

m=1/2

Now, you use the point-slope formula:

y-y1=m(x-x1)

You have to replace the value of the slope and one point and solve for y:

y-16=1/2(x-6)

y-16=1/2x-3

y=1/2x-3+16

y=1/2x+13

According to this, the answer is that the equation for his allowance in slope-intercept form is: y=1/2x+13.

7 0
3 years ago
12 = 3(m - 17)<br><br> Help please. You have to use distributive property to solve.
dimaraw [331]

Answer:

m = 21

Step-by-step explanation:

12 = 3(m - 17)

12 = 3m - 51 (Found using the distributive property)

63 = 3m (Found by adding 51 to both sides)

21 = m (Found by dividing both sides by 3)

Hope this helps :)

3 0
3 years ago
The cost of a pair of pants was reduced from $50 to $40. By what percent did the cost of the pair of pants decrease? 2% 10% 20%
vova2212 [387]

Answer:

C. 20%

Step-by-step explanation:

50*2=100

40*2=80

100-80=20

5 0
3 years ago
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