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3 years ago

Sort these fractions in ascending order.

Mathematics

2 answers:

Arturiano [62]3 years ago

8 0

A.2/7

B.7/9

C.4/5

D.5/6

miv72 [106K]3 years ago

5 0

Answer:

2/7<4/5<5/6<7/9

Step-by-step explanation:

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Booneville Theater sold 1,330 tickets to Shakespearean plays last season. This season, the

Viefleur [7K]

Answer:

1862 tickets.

Step-by-step explanation:

1330 increase 40% =

1330 × (1 + 40%) = 1330 × (1 + 0.4) = 1862

3 0

3 years ago

Fill in the other coordinate for the line 2x - 5y = 11: (4, )

enot [183]

2x - 5y = 11. (4, a). x = 4, y = a

Substituting into 2x - 5y = 11

2(4) - 5(a) = 11

8 - 5a = 11

-5a = 11 - 8

-5a = 3

a = 3/-5 = -3/5 =- 0.6

Other coordinate = -3/5 = -0.6

5 0

4 years ago

Karl deposits $900 in a CD. He will earn 5% compound interest each year for five years. How much interest will Karl earn in 5 yr

Sliva [168]

Answer:

$225 of interest in 5 years.

Step-by-step explanation:

Step 1: 5% x 5 = 25%.

Step 2: 900 ÷ 4 = 225.

Karl will earn $225 of interest in 5 years.

5 0

3 years ago

The sum of -4 and -15 increased by 17

Aleks04 [339]

Answer:

- 2

Step-by-step explanation:

The sum of - 4 and - 15 = - 19

Increased by 17 means to add on 17 to the above result, that is

- 19 + 17 = - 2

5 0

3 years ago

Find the equation of ellipse passing throgh (1,4) and (-3,2)

irinina [24]

Answer:

$\displaystyle \frac{ {3x}^{2} }{ 35 } + \frac{{2y}^{2} }{ 35 } = 1$

Step-by-step explanation:

we want to figure out the ellipse equation which passes through (1,4) and (-3,2)

the standard form of ellipse equation is given by:

$\displaystyle \frac{(x - h {)}^{2} }{ {a}^{2} } + \frac{(y - k {)}^{2} }{ {b}^{2} } = 1$

where:

(h,k) is the centre
a is the horizontal redius
b is the vertical radius

since the centre of the equation is not mentioned, we'd assume it (0,0) therefore our equation will be:

$\displaystyle \frac{ {x}^{2} }{ {a}^{2} } + \frac{{y}^{2} }{ {b}^{2} } = 1$

substituting the value of x and y from the point (1,4),we'd acquire:

$\displaystyle \frac{ 1}{ {a}^{2} } + \frac{16}{ {b}^{2} } = 1$

similarly using the point (-3,2), we'd obtain:

$\displaystyle \frac{ 9}{ {a}^{2} } + \frac{4 }{ {b}^{2} } = 1$

let 1/a² and 1/b² be q and p respectively and transform the equation:

$\displaystyle \begin{cases} q + 16p = 1 \\ 9q + 4p = 1 \end{cases}$

solving the system of linear equation will yield:

$\displaystyle \begin{cases} q = \dfrac{3}{35} \\ \\ p = \dfrac{2}{35} \end{cases}$

substitute back:

$\displaystyle \begin{cases} \dfrac{1}{ {a}^{2} } = \dfrac{3}{35} \\ \\ \dfrac{1}{ {b}^{2} } = \dfrac{2}{35} \end{cases}$

divide both equation by 1 which yields:

$\displaystyle \begin{cases} {a}^{2} = \dfrac{35}{ 3} \\ \\ {b}^{2} = \dfrac{35}{2} \end{cases}$

substitute the value of a² and b² in the ellipse equation , thus:

$\displaystyle \frac{ {x}^{2} }{ \dfrac{35}{3} } + \frac{{y}^{2} }{ \dfrac{35}{2} } = 1$

simplify complex fraction:

$\displaystyle \frac{ {3x}^{2} }{ 35 } + \frac{{2y}^{2} }{ 35 } = 1$

and we're done!

(refer the attachment as well)

8 0

3 years ago