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zubka84 [21]
3 years ago
5

2(3c + 3) < 6c + 9

Mathematics
1 answer:
Usimov [2.4K]3 years ago
4 0
<h3>Answer: B. All real numbers</h3>

Work Shown:

2(3c+3) < 6c+9

6c+6 < 6c+9 .... distribute

6c+6-6c <6c+9-6c .... subtract 6c from both sides

6 < 9 ... note the c terms go away entirely

We're left with a statement that is always true since 6 is always less than 9 regardless of what value of c we pick. So there are infinitely many solutions. Any real number can replace c to get a true statement.

You might be interested in
If the simple interest on $6,000 for 3 years is $1,620, then what is the interest rate?
Volgvan

Answer:

Interest rate: 9%

Step-by-step explanation:

Using the simple interest formula: A=P(1+rt)

A=Final amount

P=Principal amount

r=rate

t=time (years)

We just need to put in the information we have from the question and solve for r.

7,620=6000(1+r3)

7,620/6000=1+r3

1.27=1+r3

0.27=r3

r=0.09

r=9%

3 0
2 years ago
Create an item with a selling price over $100 a discount of 25% and tax is 9%
Lana71 [14]

First, convert the 25% to a real mathematical number. For percents, this is always done by dividing the 25% by 100%, or 25% / 100% = 0.250.

Second, find out what 25% of $100 is. This is the amount of the sale discount. This is always found by mulitplying 0.250 by the item's cost $100, like this:

0.250 x $100 = $25.00.

So for this sale, you'll save $25.00 on this item.

This means, the cost of the item to you is

$100 - $25.00 = $75.00.

Alternatively, you can think about it this way. The item is 25% off. This means you'll pay 75.000% of the total cost (100% - 25% = 75.000%).

Now what's 75.000% of the total cost?

0.750 x $100 = $75.00.

Just like the result above, the sale price on the item is $75.00.

Hope this helps you on your assignment! :)

5 0
3 years ago
What are the three major responsibilities of the county sheriff? (Site 1)
UNO [17]

Answer:1. They make policies

2. They perform executive duties

3. They plan environmental and land use policy

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Find the equation of the line in slope-intercept form containing the points (6, -1) and (-3, 2).
egoroff_w [7]
Slope intercepf is y=mx+b wherem=slope and b= y intercept
slope is found by doing
(y1-y2)/(x1-x2)
points are (6,-1) and (-3,2)
(x,y)
x1=6
y1=-1
x2=-3
y2=2
subsitute
(-1-2)/(6-(-2))=-3/(6+2)=-3/8
slope=-3/8
subsitute
y=-3/8x+b
subsitute and solve for b
(-3,2)
x=-3
y=2
2=-3/8(-3)+b
2=9/8+b
2=16/8
subtract 9/8 from both sides
16/8-9/8=b
7/8=b
y=-3/9x+7/8 is the equation
5 0
3 years ago
The rate at which people learn about a secret is directly proportional to the number of people who know the secret. If two peopl
fenix001 [56]

Answer:

between 222 and 223 days

Step-by-step explanation:

This relation includes the point (0, 2).

A proportional relation must include the point (0, 0).

This is not proportional, but it may be linear.

Points: (0, 2), (2, 20)

y = mx + b

20 = (20 - 2)/(2 - 0) × 2 + b

20 = 18/2 × 2 + b

b = 2

y = 18x + 2

When 4000 people know, y = 4000.

y = 18x + 2

4000 = 18x + 2

3998 = 18x

x = 3998/18

x = 222.111...

Answer: between 222 and 223 days

8 0
3 years ago
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