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PilotLPTM [1.2K]
2 years ago
9

2 sides of a triangle have the following measures. Find the range of possible measures for the third side.

Mathematics
1 answer:
defon2 years ago
7 0

Answer:

4 < x < 18

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

11 - 7 < x < 11 + 7

4 < x < 18 ← range of values for third side

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Fernando invested money in a 5-yr CD (certificate of deposit) that returned the equivalent of 3.3% simple interest. He invested
iren [92.7K]

Answer:

Fernando invested $ 5000 on the 5-year CD and $ 4000 on the 18-month CD.

Step-by-step explanation:

Since Fernando invested money in a 5-yr CD (certificate of deposit) that returned the equivalent of 3.3% simple interest, and the invested $ 1000 less in a 18-month CD that had a 2% simple interest return, if the total amount of interest from these investments was $ 945.00, to determine how much was invested in each CD the following calculation must be performed:

3.3 x 5 = 16.5

2 x 1.5 = 3

4000 x 0.165 + 3000 x 0.03 = 750

6000 x 0.165 + 5000 x 0.03 = 1140

5000 x 0.165 + 4000 x 0.03 = 945

Therefore, Fernando invested $ 5000 on the 5-year CD and $ 4000 on the 18-month CD.

3 0
2 years ago
Mason has a collection of 49¢ stamps, 20¢ stamps, and 34 stamps worth $23.55. He has 56 total 49¢ and 20+ stamps and the number
tatuchka [14]

Answer:

Mason has

  • 16 20¢ stamps;
  • 25 3¢ stamps;
  • 40 49¢ stamps.

Step-by-step explanation:

Let x be the number of 20¢ stamps, then the number of 3¢ stamps is  x + 9.

Mason has 56 total 49¢ and 20¢ stamps, then the number of 49¢ stamps is 56 - x.

Amounts:

  • in 49¢: 49(56-x) cents;
  • in 20¢: 20x cents;
  • in 3¢: 3(x+9) cents.

Total amount:

  • 49(56-x)+20x+3(x+9);
  • $23.55.

Hence,

49(56-x)+20x+3(x+9)=2,355\\ \\2,744-49x+20x+3x+27=2,355\\ \\-49x+3x+20x=2,355-2,744-27\\ \\-26x=-416\\ \\26x=416\\ \\x=16

Mason has

  • 16 20¢ stamps;
  • 25 3¢ stamps;
  • 40 49¢ stamps.
5 0
3 years ago
NEED RN, WORTH 20! <br> What is the value of x?
max2010maxim [7]

Answer:

x = 5.625

Step-by-step explanation:

<u>Step 1:  Make an expression</u>

<u />\frac{3}{4} = \frac{x}{7.5}

<u>Step 2:  Cross Multiply</u>

<u />\frac{3}{4} = \frac{x}{7.5}

4 * x = 7.5 * 3

4x = 22.5

<u>Step 3:  Divide both sides by 4</u>

<u />4x / 4 = 22.5 / 4

x = 5.625

Answer:  x = 5.625

5 0
3 years ago
Pls help me understand.
maw [93]

Answer:

19 %

Step-by-step explanation:

380 : 2000 = 0.19

0.19 X 100%= 19 %

6 0
2 years ago
4k^2 + 28k + 48 factor the polynomial​
andreyandreev [35.5K]
4 (k+3) (k+) is the answer
5 0
3 years ago
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