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Flauer [41]
3 years ago
5

Halloween 2018 Solve the equation. Choose the method you prefer to use. Check your answer. 5/4+4m/5 =61/20

Mathematics
1 answer:
lapo4ka [179]3 years ago
4 0

5/4+4m/5 =61/20

multiply each side by 20 to clear the fractions

20 *( 5/4+4m/5 ) = 61/20 * 20

distribute

25 + 16m = 61

subtract 25 from each side

16m = 36

m = 36/16

m = 9/4

m = 2 1/4

Check:

5/4+4m/5 =61/20

5/4 + 4/5 * 9/4 = 61/20

5/4 + 36/20 = 61/20

get a common denominator

25/20 +36/20 = 61/20

61/20=61/20

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Evaluate the expression <br> (-32)^3/5
alina1380 [7]

Answer:

-8

Step-by-step explanation:

x^(m/n)=\sqrt[n]{x}^m

(-32)^(3/5)

=\sqrt[5]{(-32)} ^3

=(-2)^3

=-8

6 0
3 years ago
An algebra tile configuration where the 2 largest tiles are labeled plus x squared, there are 4 tiles labeled negative x, where
Sergio [31]

Answer:

The polynomial is 2x² - 4x - 6 ⇒ 1st answer

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- Algebra tiles are used to model integers and variables to aid in

 learning how to write polynomials

- There are two largest tiles labeled plus x squared

- That means we have two x²

∴ There are 2x²

- There are 4 tiles labeled negative x, where each tile is half the size

 of the largest tiles

- That means we have 4 negative x

∴ There are 4 × -x = -4x

- There are 6 tiles labeled minus that are each one-quarter the size

 of the largest tile

- That means we have 6 negative signs (6 - ones)

∴ There are 6 × - ones = -6

∴ The polynomial = 2x² + (-4x) + (-6)

- <u><em>Remember:</em></u> (+)(-) = (-)

∴ The polynomial = 2x² - 4x - 6

* The polynomial is 2x² - 4x - 6

6 0
3 years ago
Read 2 more answers
Find the measurement of sides
mestny [16]

Answer:

(a) a ≈ 22.7 meters, (b) c ≈ 10.6 meters, (c) ∠A = 65°

Step-by-step explanation:

assuming side a/c is side BC/AB since it's opposite of angle A/C

(a) SOH CAH<em>(cos = </em><em>adjacent side/hypotenuse</em><em>)</em> TOA

=> cos (25°) = BC/AC or a/b

=> cos (25°) = a/25

=> a = cos (25°) × 25

=> a ≈ 22.7

(b) SOH<em>(sin = </em><em>opposite side/hypotenuse</em><em>)</em> CAH TOA

=> sin (25°) = AB/AC or c/b

=> sin (25°) = c/25

=> c = sin (25°) × 25

=> c ≈ 10.6

(c) 180° - 25° - 90°(the right angle) = 65°

7 0
3 years ago
Ifran manages a coffee shop.<br>The rest of the question is in the screen shot
Klio2033 [76]

Answer:

230 capsules.

Step-by-step explanation:

The following data were obtained from the question:

Taste >>>>>>>>>>> Frequency

Volluto >>>>>>>>>> 12

Livanto >>>>>>>>>> 7

Ristretto >>>>>>>>> 23

Cosi >>>>>>>>>>>> 3

Other >>>>>>>>>>> 5

Next, we shall determine the total frequency.

This is illustrated below:

Total frequency = 12 + 7 + 23 + 3 + 5

Total frequency = 50

Finally, we shall determine the number of Ristretto in 500 capsules.

This can be obtained as follow:

Number of Ristretto = Frequency of Ristretto /total frequency x total capsule

Frequency of Ristretto = 23

Total frequency = 50

Total capsule = 500

Number of Ristretto = 23/50 x 500

Number of Ristretto = 23 x 10

Number of Ristretto = 230.

Therefore, the number of Ristretto in the 500 capsules is 230.

7 0
4 years ago
Round 82736 to 1 significant figure
hram777 [196]

Answer:

80000

Step-by-step explanation:

Significant figures are any number but zeroes.

However, in some cases, zeroes also count as significant figures.

  • Zeroes are significant figures when between other non-zero numbers.
  • Zeroes are significant when you see a dot on the right indicating that zero is not a place holder.
  • They are <u>not</u> significant when serving as place holders, such as zeroes on the right side of a number. For example, .004 has 1 sig fig. The 2 zeroes on the left aren't sig figs because they're just place holders.
  • Zeroes on the <u>right</u> side of a decimal are also significant.

5 0
3 years ago
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