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Vadim26 [7]
3 years ago
13

( − 2 ( 4 ) x − 2 ) < − 8 x + 4

Mathematics
1 answer:
anastassius [24]3 years ago
7 0

Answer:

1. Expand.

8x-6-8=4+2x8x−6−8=4+2x

2. Simplify  8x-6-88x−6−8  to  8x-148x−14.

8x-14=4+2x8x−14=4+2x

3. Add 1414 to both sides.

8x=4+2x+148x=4+2x+14

4. Simplify  4+2x+144+2x+14  to  2x+182x+18.

8x=2x+188x=2x+18

5. Subtract 2x2x from both sides.

8x-2x=188x−2x=18

6. Simplify  8x-2x8x−2x  to  6x6x.

6x=186x=18

7.Divide both sides by 66.

x=\frac{18}{6}x=  18/6

​

​​  

8. Simplify  \frac{18}{6}

​6

​18  to  33.

x=3x=3

Step-by-step explanation:

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Raj takes a taxi to the airport. He expects the taxi to travel at an average speed of 50 mph.
schepotkina [342]

9514 1404 393

Answer:

  9 minutes

Step-by-step explanation:

In terms of hours, the travel times are ...

  time = distance/speed

<u>Expected time</u>

  te = (30 mi)/(50 mi/h) = 3/5 h = 36 minutes

<u>Actual time</u>

  ta = (30 mi)/(40 mi/h) = 3/4 h = 45 minutes

Then the extra time taken is ...

  (45 -36) min = 9 minutes

The journey took 9 minutes longer than expected.

5 0
3 years ago
Half of a number increased by 4 is 30.
Hitman42 [59]

Answer:

\frac{1}{2}x+4=30

52

Step-by-step explanation:

First, write the equation out in the algebraic form. Half of a number is equivalent to a number times 1/2. Additionally, increasing a number by 4 is just adding 4. So the equation is \frac{1}{2}x+4=30.

Then, use algebra to solve.

1) Subtract 4 from both sides

1/2x=26

2) Multiply both sides by 2, because that is the same as dividing by a fraction

x=52

3 0
3 years ago
If two fair dice are rolled, what is the probability that the total showing is either even or less than nine?
Gemiola [76]

Answer:

1/2 and 13/18 respectively

Step-by-step explanation:

even-number results:

2, 4 6 ,8, 10 and 12

the combinations of each result are respectively

1+3+5+5+3+1 = 18

The total number of combinations on a roll pair is 36

then the probability of obtaining an even result is:

p = 18/36 = 1/2 or 0.5

so that the result is less than nine, we eliminate the combinations of results 9, 10, 11 and 12:

4 + 3 + 2 + 1 = 10

36 -10 = 26

the probability of obtaining a result less than nine is:

p = 26/36 = 13/18 or 0.72

Hope this helps

5 0
2 years ago
Savings account at a bank pays 5% simple interest in account at Bank B pays 2% compounded interest the table shows the balance i
Paha777 [63]

Answer:

The balance in Bank B will be greater.

Step-by-step explanation:

Because simple interest is just interest on the principle only which is 50 every year doesn't change but with compound interest you will get 2% Interest every year.  principle+interest

3 0
2 years ago
6 (2×^2-5)= ?<br><br>x= -3<br><br>needs to be simplified
aivan3 [116]
I hope this helps you

3 0
3 years ago
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