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Aleonysh [2.5K]
2 years ago
7

Solve this question with full working and explanation and I will mark you as brainliest. ​

Mathematics
2 answers:
SVETLANKA909090 [29]2 years ago
7 0

<u>Answer:</u>

The hand moved \bf \frac{3}{4} of a complete turn.

<u>Step-by-step explanation:</u>

The hand moved from 3 to 12, that is, it moved:

12 - 3 = 9 hours

In a clock, 12 hours represent a complete turn.

∴ Using the unitary method:

12 hours    ⇒     1 turn

1 hour        ⇒     \frac{1}{12} turns

9 hours     ⇒     \frac{1}{12}  × 9 = \frac{9}{12}

                                     = \bf \frac{3}{4} turns    (simplified)

∴ The hand moved \bf \frac{3}{4} of a complete turn.

Simora [160]2 years ago
7 0

The answer is  \boxed{\frac{3}{4}}.

To find the fraction of a complete turn it moved in this case, take the ratio between hours covered between 3 and 12, and the hours covered in a complete turn.

  • Hours covered between 3 and 12 : 12 - 3 = 9
  • Hours covered in a complete turn = 12
  • Fraction of a complete turn it moved : 9/12 = 3/4
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You multiply like terms first, which means -2/3x*-x. It becomes 2/3x*3y. The coefficient of x is 2/3. The coefficient of y is 3. You can’t combine them because they are not like terms with the variables.
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3 years ago
Point C is on line segment \overline{BD} BD . Given CD=x,CD=x, BC=5x-5,BC=5x−5, and BD=2x+7,BD=2x+7, determine the numerical len
NARA [144]

Answer:

CD = 3

Step-by-step explanation:

Given

CD = x

BC = 5x - 5

BD = 2x + 7

Required

Determine CD

Since, C is a point on BD, the relationship between the given parameters is;

BD = BC + CD

Substitute the values of BD, BC and CD

2x + 7 = 5x - 5 + x

Collect Like Terms

2x - 5x - x = -5 - 7

-4x = -12

Divide both sides by -4

\frac{-4x}{-4} = \frac{-12}{-4}

x = 3

To determine the length of CD;

Substitute 3 for x in CD = x

Hence;

CD = 3

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-4x -6 = 3 - 5x<br> Solve for x pls
ycow [4]

Answer:

x = 9

Explanation:

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-4x - 6 + 6 = 3 - 5x + 6

-4x = -5x + 9

  • Add 5x to both sides

-4x + 5x = -5x + 9 + 5x

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Given that y is inversely as x+3 and that y=4 when x =2 (a)express y in terms of x (b)find the value of y when x =5 .
myrzilka [38]

a. Expressing y in terms of x, y = 20/(x + 3)

b. When x = 5, the value of y is 2.5

The question has to do with inverse variation.

<h3>What is inverse variation?</h3>

Inverse variation is variation in which one quantity varies inversely as the other.

<h3>a. How to express y in terms of x?</h3>

Given that y is inversely as x + 3 and that y = 4 when x = 2.

Since y varies inversely as x + 3, we have

y ∝ 1/(x + 3)

y = k/(x + 3)

When y = 4, x = 3. So

y = k/(x + 3)

4 = k/(2 + 3)

4 = k/5

k = 4 × 5

k = 20

So, y = k/(x + 3)

y = 20/(x + 3)

So, expressing y in terms of x, y = 20/(x + 3)

<h3>b. Find the value of y when x = 5.</h3>

Since  y = 20/(x + 3)

Substituting x = 5 into the equation, we have

y = 20/(x + 3)

y = 20/(5 + 3)

y = 20/8

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y = 2.5

So, when x = 5, the value of y is 2.5

Learn more about inverse variation here:

brainly.com/question/27887206

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