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marusya05 [52]
4 years ago
5

Solve for x: 6x + one over four (4x+8) > 12

Mathematics
2 answers:
Ann [662]4 years ago
8 0

Answer:

x>10/7

Step-by-step explanation:

distribute first:

6x+x+2>12

Combine like terms:

7x+2>12

Subtract 2 on both sides:

7x>10

Divide both sides by 7:

x>10/7

12345 [234]4 years ago
5 0

Answer to Problem: 6x+\frac{1}{4}(4x+8)>12

x>\frac{10}{7}

So this says any number larger than 10/7 is a solution.

A graph to represent the solution:

                                O~~~~~~~~~~~~~~~~~~~~ x>10/7

---------------------------(10/7)---------------------

Step-by-step explanation:

We are given:

6x+\frac{1}{4}(4x+8)>12

I'm going to distribute first:

6x+x+2>12

Combine like terms:

7x+2>12

Subtract 2 on both sides:

7x>10

Divide both sides by 7:

x>\frac{10}{7}

So this says any number larger than 10/7 is a solution.

A graph to represent the solution:

                                O~~~~~~~~~~~~~~~~~~~~ x>10/7

---------------------------(10/7)---------------------

I used an open circle because there wasn't a line under the inequality (no line under to represent equals).

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What is the square root of 3
VashaNatasha [74]

Answer:

1.732058

Step-by-step explanation:

Hope this helps

7 0
3 years ago
Escape park owner was 30% of each order to include long boards he wants to know how many long boards to order out of a total of
Nataliya [291]

Answer:

He should order 15 long boards

Question:

Escape park owner want 30% of each order to include long boards he wants to know how many long boards to order out of a total of 50 skateboards

Step-by-step explanation:

Let x and y represent the number of long board and the total number of skateboard to order.

Given that 30% of each order to include long boards;

x = 30% of y

x = 0.3y .....1

But, the total number of skateboard is given as 50

y = 50

From equation 1

x = 0.3y = 0.3(50)

x = 15

He should order 15 long boards

7 0
3 years ago
Tickets to a school musical cost $7.25. The amount received from ticket sales is $833.75. How many tickets were sold?
KonstantinChe [14]

Answer:  115

Divide 833.75 by 7.25

5 0
3 years ago
Read 2 more answers
2 out of 3 dogs weigh less than 20 pounds. What is the decimal equivalent for the number of dogs weighing under 20 pounds
Paha777 [63]

Answer:

... 0.7 . . . or 0.67 . . . or 0.667 . . . or 0.6667 . . . or ...

Step-by-step explanation:

2/3 is a repeating decimal: 0.66666... Round where you like. The rounding is usually in the 2nd or 3rd decimal place, depending on the accuracy needed.

... 0.67 or 0.667 . . . . . the decimal fraction of dogs

_____

<em>Comment on wording</em>

The question asks for the "number of dogs". In the problem statement, we're told that number is 2 (out of 3). Actually, it can be any even integer number (out of 3/2 that many), up to 2/3 of the total dog population (which is estimated at over 520 million).

Had the problem asked for <em>the fraction of dogs</em>, then an appropriate answer is 0.67.

4 0
3 years ago
If an orbiting satellite has a diameter of 60 cm, what is the total surface area of the satellite? (HINT: surface area = 4ℼr²)
grin007 [14]

Answer:

SA = 3,600π cm²

Step-by-step explanation:

You are given the formula, and the diameter.  The formula uses radius, which is 1/2 of the diameter.  In this case, r = 30.  Plug that into the formula and simplify...

SA = 4π(30²)

   SA = 4π(900)

       SA = 3,600π

8 0
4 years ago
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