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3 years ago

Basir buys 4 small drinks for $6.write and equation represent the cost c, for d small drinks?

Mathematics

1 answer:

maria [59]3 years ago

3 0

Answer:

c = 1.5 d

Step-by-step explanation:

cost of 4 small drinks = $6

cost of 1 small drink = $ $\frac{6}{4}$ = $1.5

cost of d small drinks = 1.5 d = c

∴ c = 1.5 d

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What is 1/12x(4+6x3)-9?

sertanlavr [38]

Your answer is -43/6

1/12(4+6x3)-9
=1/12(22)-9
=11/6-9
=11/6-54/6
=-43/6

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2 years ago

5. Consider the diagram below. Solve for x.

mrs_skeptik [129]

Answer:

41 degrees

Step-by-step explanation:

The three angles need to add up to 180 degrees!

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2 years ago

3a+2= -2n+3p solve for a

nataly862011 [7]

Answer:

Step-by-step explanation:

3a + 2 = -2n + 3p

3a = -2n + 3p - 2

a = (-2n+3p-2)/3

a = -2/3(n) + p - 2/3

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3 years ago

Solve the following logarithmic equations.<br> log[(x^2 + 2x − 3)^4] = 0

saw5 [17]

Answer:

The solutions are x = 1.24 and x = -3.24

Step-by-step explanation:

Hi there!

First, let´s write the equation:

log[(x² + 2x -3)⁴] = 0

Apply the logarithm property: log(xᵃ) = a log(x)

4 log[(x² + 2x -3)⁴] = 0

Divide by 4 both sides

log(x² + 2x -3) = 0

if log(x² + 2x -3) = 0, then x² + 2x -3 = 1 because only log 1 = 0

x² + 2x -3 = 1

Subtract 1 at both sides of the equation

x² + 2x -4 = 0

Using the quadratic formula let´s solve this quadratic equation:

a = 1

b = 2

c = -4

x = [-b± √(b² - 4ac)]/2a

x = [-2 + √(4 - 4(-4)·1)]/2 = 1.24

and

x = [-2 - √(4 - 4(-4)·1)]/2 = -3.24

The solutions are x = 1.24 and x = -3.24

Have a nice day!

4 0

2 years ago

The minute hand of a clock is 8 inches long. To the nearest tenth of an inch, how far does the tip of the minute hand travel as

lesya692 [45]

Answer:

The tip of the minute hand travels 20.9 inches.

Step-by-step explanation:

We are given that the minute hand of a clock is 8 inches long. And we have to find that how far does the tip of the minute hand travel as the time progresses from 12:00 to 12:25.

<u>So, firstly we will find the circumference of circle;</u>

Circumference of circle (C) = $2\pi r$ {where r is radius of circle}

= $2 \times \pi \times 8$ {given r = 8 inches long}

= $16 \pi$

Now, as we know that the minute hands completes the full circle in 60 minutes, therefore, the length of the arc between time 12:00 to 12:25 represents $\frac{25}{60}$ which is $\frac{5 }{12}$ of the circumference, that means;

The length of arc from time 12:00 to 12:25 = $\frac{5}{12}\times \text {Circumference of circle}$

= $\frac{5}{12} \times 16 \pi$

= $\frac{20}{3} \pi$ = 6.67 $\pi$

Now, assuming value of $\pi$ = 3.14; so 6.67 $\pi$ = $6.67 \times 3.14$ = 20.9 inches (in nearest tenth)

Hence, the tip of the minute hand travels 20.9 inches.

5 0

2 years ago