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PSYCHO15rus [73]
3 years ago
11

Which line is parallel to a line whose slope is 2/5?

Mathematics
1 answer:
Monica [59]3 years ago
5 0
It would be another line that also has a slope of 2/5
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This model of the backboard of a basketball goal is composed of a rectangle and a semicircle. What is the area of
irina1246 [14]

Answer:

deal with the rectangle first A = l X w

4 X 12 = 48 squared cm

semi circle

Area of a circle πr^2

12/2 = 6, radius = 6

π6^2 = 113.097335

113.097335/2 = 56.5486677

56.5 + 48 = 104.5 squared cm

3 0
2 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
Best estimate 27x1/7
FinnZ [79.3K]
27/7 or Decimal: 3.857143
8 0
3 years ago
The. sum of two consecutive. integers. is 17
coldgirl [10]
X+(x+1)=17
So 2x+1=17
Which means 2x=16
Which then means x=8
But you still need the second number, which is x+1, so 8+1=9.
This means that the consecutive numbers are 8 and 9.
6 0
3 years ago
What is the image of (8,-5) after a reflection over the y-axis?
Rasek [7]

Answer:

(-8,-5)

Step-by-step explanation:

4 0
3 years ago
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