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3 years ago

14n=11n+81 SHOW YOUR WORK

Mathematics

1 answer:

s344n2d4d5 [400]3 years ago

6 0

Answer:

n = 27

Step-by-step explanation:

14n = 11n + 81 (Given)

14n - 11n = 11n - 11n + 81 (Subtraction Property of Equality)

3n = 81 (Simplify)

$\frac{3n}{3} = \frac{81}{3}$ (Division Property of Equality)

n = 27 (Simplify)

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Mark got 54 out of 66 correct in his test. What fraction of the marks did he get correct? Give your answer in its simplest form

elixir [45]

Answer:

$\texttt{Fraction of the marks did he get correct}=\frac{9}{11}$

Step-by-step explanation:

Mark got 54 out of 66 correct in his test.

We need to find what fraction of the marks did he get correct,

Total number of questions = 66

Total number of correct answers = 54

$\texttt{Fraction of the marks did he get correct}=\frac{\texttt{Total number of correct answers}}{\texttt{Total number of questions}}\\\\\texttt{Fraction of the marks did he get correct}=\frac{54}{66}\\\\\texttt{Fraction of the marks did he get correct}=\frac{9}{11}$

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3 years ago

Solve for z. 25z = 175

LUCKY_DIMON [66]

Answer: z = 7

Step-by-step explanation:

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3 years ago

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solve the system of equations using substitution. 3 multiplied by y equals negative the quantity 1 divided by 2 end of quantity

Bas_tet [7]

3y = -1/2x + 2 . . . . . . . . (1)
y = -x + 9 . . . . . . . . (2)
substituting (2) into (1), we have
3(-x + 9) = -1/2x + 2
-3x + 27 = -1/2x + 2
-1/2x + 3x = 27 - 2
5/2x = 25
x = (2 x 25)/5
x = 10
From (2)
y = -10 + 9
y = -1
solution (10, -1)

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4 years ago

Fiona bought some socks that cost $4.95 for each pair and some belts that cost $6.55 each. Fiona spent $27.95 in all. Let a repr

Romashka [77]

The question lacks the total number of socks and belts altogether. Thsi value is necessary so that we can create another equation to solve the unknowns.

if assumed that a = b, the answer, a = b = 2.43 will not make sense since you cannot buy 43% of a pair of socks. Completely define the conditions so that the answer can be obtained.

by trial and error, 3 pair of socks and 2 belts would be a sensible answer

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3 years ago

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A zip line starts 28 feet in the air and

goldfiish [28.3K]

Given:

A zip line goes from 28 feet to 11 feet in the air. The angle of depression is 85°.

To find:

The length of the zip line where there is no rider.

Solution:

A right-angled triangle can be formed using the given data.

The difference in height between the start and end of the zipline is $28-11=17$ . The angle of the triangle is 85°.