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Ipatiy [6.2K]
3 years ago
13

Give an example of an irrational number that is less than -5.

Mathematics
1 answer:
Aliun [14]3 years ago
5 0
For example, Pi, which is 3.14159265359...
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Define the variables and write a system of equations to represent the given situation do not solve
Kaylis [27]

Answer:  28x  + 15y = 131   and x + y =  7   where x is the number of Dress shirt and y is the number of T-shirt.

Step-by-step explanation:

We will represent the number of Dress shirt he bought by x and we will represent the number of T-shirt he bought by y.

We know that he spent 131 so the cost of each dress shirt plus the cost of each T-shirt has to equal  131.  Also, he bought 7 total shirts so x plus y has to equal 7.

28x  + 15y = 131  

x + y =  7

Note: it says don't solve so I didn't solve but if you want to solve use these equations.

4 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
Adrianna, Deon, and Yoko jogged at Eisenhower Park today. Adrianna jogs at the park every 3
Dominik [7]

Answer:the answer is 30

Step-by-step explanation hope this helped ☺️

3 0
3 years ago
I really need this answer please help ​
iren2701 [21]
I’m not completely sure but I think the answer is C.
5 0
2 years ago
Select the correct answer.
Setler79 [48]

Answer:

A. 2·x² + 16·x + 32 ≥ 254

Step-by-step explanation:

The given dimensional relationship between the dimensions of the photo in the center of the cake and the dimensions of the cake are

The width of the cake = The width of the photo at the center of the cake, x + 4 inches

The length of the cake = 2 × The width of the cake

The area of the cake Wanda is working on ≥ 254 in.²

Where 'x' represents the width of the photo (at the center of the cake), let 'W' represent the width of the cake, let 'L' represent the length of the cake, we get;

W = x + 4

L = 2 × W

Area of the cake, A = W × L ≥ 254

∴ A = (x + 4) × 2 × (x + 4) = 2·x² + 16·x + 32 ≥ 254

The inequality representing the solution is therefore;

2·x² + 16·x + 32 ≥ 254

3 0
3 years ago
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