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3 years ago

There are 14 books on a shelf. 8 of these books are new What is the ratio of all books to used books?

Mathematics

2 answers:

yawa3891 [41]3 years ago

5 0

6:14 books are used
Simplify: 3/7 books are used

Vesna [10]3 years ago

3 0

The ratio of the used books is 6/14 (read: six over fourteen) simplified to 3/7 (read: three over seven). hope that helps!!

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An airplane is preparing to land at an airport. It is 42,000 feet above the ground and is descending at the rate of 3,300 feet p

Fudgin [204]

Answer:

7 minutes

Step-by-step explanation:

From the question :

Descent = ascent

Initial height * descent rate = initial position * ascent rate

Plane on ground is at an initial position or height of 0

42000 - 3300t = 0 + 2700t

Where, t = time

-3300t - 2700t = 0 - 42000

-6000t = - 42000

t = 42000 / 6000

t = 7 minutes

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3 years ago

elect the correct answer from each drop-down menu. A system of linear equations is given by the tables. x y -5 10 -1 2 0 0 11 -2

sergeinik [125]

Answer:

First equation: y = -2x

Second equation: y = 3 - x

Solution: (1, -2)

Step-by-step explanation:

Assuming the ordered pairs of the tables are:

Table 1

(-5, 10) (-1, 2) (0, 0) (11, -22)

Table 2

(-8, -11) (-2, -5) (1, -2) (7, 4)

To create a linear equation, pick 2 ordered pairs. Calculate the slope by using the slope formula, then use the points-slope form of the linear equation to form the equation.

$\textsf{slope }m=\dfrac{\textsf{change in }y}{\textsf{change in }x}$

$\textsf{point-slope form : }y-y_1=m(x-x_1)$

Equation 1

$\textsf{slope }m=\dfrac{2-10}{-1+5}=-2$

$y-0=-2(x-0)\\\\\implies y=-2x$

Equation 2

$\textsf{slope }m=\dfrac{-5+11}{-2+8}=1$

$y+11=1(x+8)\\\\\implies y=x-3$

Solution to the System

Equate the equations and solve for x:

-2x = x - 3

⇒ 0 = 3x - 3

⇒ 3x = 3

⇒ x = 1

Substitute found value of x into one of the equations and solve for y:

y = 1 - 3 = -2

Therefore, the solution is (1, -2)

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2 years ago

If n/5=45/75.find the value of n.

Stells [14]

Start with

$\dfrac{n}{5}=\dfrac{45}{75}$

Multiply both sides by 5:

$n = \dfrac{45\cdot 5}{75} = \dfrac{45}{15} = 3$

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3 years ago

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Which of the following is not a security alliance that the US belongs to?

dimulka [17.4K]

The security alliance that the US does not belong to is..

D. Lisbon Treaty

Hope this helped! :)

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3 years ago

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Feliz [49]

Answer:

The measure of angle B is 54°. The measure of angle A is 51°. The measure of angle AFE is 47°.

According to exterior angle theorem: It a triangle

Exterior angle = Sum of opposite interior angles

In triangle BED,

The measure of angle B is 54°.

In triangle ABC,

The measure of angle A is 51°.

In triangle AEF,

Using angle sum property,

Therefore the measure of angle AFE is 47°.

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3 years ago

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