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katovenus [111]
2 years ago
6

18 (- x - 2) - 4 (- 9 + 3x) = -14 Find the value of X

Mathematics
1 answer:
igomit [66]2 years ago
5 0

Answer:

x = 7/15

Step-by-step explanation:

you can check by replacing the x with the number I gave you

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Add these mixed numbers -Thanks!
alina1380 [7]
1. 6 1/2
2.4 1/2
3. 9 1/3
4. 9 1/2
5. 9 6/8
6. 6 1/2
(For the adding ones ) I also simplified them.
7 0
3 years ago
Evaluate 1/3 * 5/6 in fraction form
andreev551 [17]

Answer:

= 6 over 23 (or = 6/23

Step-by-step explanation:

Convert mixed numbers to improper fractions 3 5/6 = 23/6

Convert element to fraction

= 1 divide 23/6

Apply the fraction rule: a/b divide c/d = a/b x d/c

= 1 over 1 (or 1/1) divide 23/6

Apply rule a/a = 1

= 1 over 1 (or 1/1) x 6/23

Multiply 1x 6/23 = 6/23

= 1 x 6/23

ANSWER 6/23

Hope this helps!

3 0
3 years ago
Guys please help me out. ...
Marina CMI [18]
I can't see the photo!????????
3 0
3 years ago
Question in attachment
ELEN [110]

Answer:

  • $20,000 at 8.5%
  • $10,000 at 10%

Step-by-step explanation:

There are a number of ways to solve mixture problems like this. Some are simple enough you can almost write down the answer. One I like uses a diagram to help you find the ratios of the components of the mix. You can do the same thing with a formula (without the diagram).

The basic idea is that you compute a ratio between two differences. The numerator is the difference between the average interest rate and the lower interest rate. Here, the average interest rate is 2700/30,000 = 0.09 = 9%. Then the numerator is 9% -8.5% = 0.5%

The denominator is the difference between the two interest rates of the investments: 10% -8.5% = 1.5%. And the ratio of these two values is ...

  0.5%/1.5% = 1/3

This is the fraction of the total investment that was invested at the higher interest rate:

  (1/3)×$30,000 = $10,000 . . . . was invested at 10%

Then the remaining amount, $20,000, was invested at 8.5%.

___

If you would prefer an equation, you can let x represent the amount invested at the higher rate. (That is the most convenient assignment of variables, as it keeps all of the numbers positive.) Then (30,000 -x) is the amount invested at the lower rate. The total amount of interest is ...

  10%(x) +8.5%(30,000 -x) = 2700

  x(10% -8.5%) = 2700 -8.5%(30000) . . . . . subtract 8.5%(30,000)

  x = (2700 -8.5%(30,000))/(10% -8.5%) . . . . divide by the coefficient of x

We have purposely left the expression unevaluated so that you can compare it to the math we described above. If you factor out 30,000 from the numerator of this fraction, you see the ratio that we described in words:

  x=30000\left(\dfrac{\dfrac{2700}{30000}-8.5\%}{10\%-8.5\%}\right)\\\\x=10,000

This tells us $10,000 was invested at 10%, and $20,000 was invested at 8.5%.

8 0
3 years ago
____ is necessary because researchers in the social sciences almost never have enough resources — time or money — to collect inf
Tanya [424]

Answer:

Sampling is necessary because researchers in the social sciences almost never have enough resources — time or money — to collect information about the entire set of subjects of interest to them.

Step-by-step explanation:

Sampling is done because you usually cannot gather data from the entire population. Even in relatively small populations, the data may be needed urgently, and including everyone in the population in your data collection may take too long.

4 0
2 years ago
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