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2 years ago

Five swimmers are entered into a competition. Four of the swimmers have had their

Mathematics

1 answer:

Mamont248 [21]2 years ago

7 0

Answer:

Step-by-step explanation:

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/<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx-9%7D%7B15%7D%20%3D%5Cfrac%7B2x-9%7D%7B10%5C%5C%7D" id="TexFormula1" title="\frac{

motikmotik

Step-by-step explanation:

$\frac{x - 9}{15} = \frac{2x - 9}{10} \\$

$\frac{x - 9}{3} = \frac{2x - 9}{2} \\$

$2( x - 9) = 3(2x - 9) \\$

$2x - 18 = 6x - 27$

$27 - 18 = 6x - 2x$

$9 = 4x$

$x = \frac{9}{4} \\$

5 0

2 years ago

The library has DVDs on crime, adventure and science fiction.

kozerog [31]

Answer:

The library has 1,056 crime DVDs.

Step-by-step explanatiion:

Crime : Adventure : Science

11x : 6x : 10x

6x+384=10x

384=4x

x=96

The number of crime DVDs is 11x.

We found that x=96.

So, the number of crime DVDs the library has is equal to 11*96.

11*96=1,056.

Hope this helps!

6 0

2 years ago

Solve for y 16y^2-25=0

Pepsi [2]

Answer:

$\large\boxed{x=-\dfrac{5}{4}\ \vee\ x=\dfrac{5}{4}}$

Step-by-step explanation:

$16y^2-25=0\\\\METHOD\ 1:\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\16=4^2\ \text{and}\ 25=5^2\ \text{therefore we have}\\\\4^2y^2-5^2=0\\\\(4y)^2-5^2=0\\\\(4y-5)(4y+5)+0\iff4y-5=0\ \vee\ 4y+5=0\\\\4y-5=0\qquad\text{add 5 to both sides}\\4y=5\qquad\text{divide both sides by 4}\\\boxed{y=\dfrac{5}{4}}\\\\4y+5=0\qquad\text{subtract 5 from both sides}\\4y=-5\qquad\text{divide both sides by 4}\\\boxed{x=-\dfrac{5}{4}}$

$METHOD\ 2:\\\\16y^2-25=0\qquad\text{add 25 to both sides}\\\\16y^2=25\qquad\text{divide both sides by 16}\\\\y^2=\dfrac{25}{16}\to y=\pm\sqrt{\dfrac{25}{26}}\\\\y=-\dfrac{\sqrt{25}}{\sqrt{16}}\ \vee\ x=\dfrac{\sqrt{25}}{\sqrt{16}}\\\\\boxed{y=-\dfrac{5}{4}\ \vee\ x=\dfrac{5}{4}}$

7 0

2 years ago

Read 2 more answers

Point A represents which fraction? A)1/3 B)4/8 C)5/6 D)5/8

ELEN [110]

I believe the answer would b ( B) 1/3

Hope this helps!

4 0

2 years ago

Which line has an equation of y=-5x+4 in slope-intercept form?

Lady bird [3.3K]

<span>D: a line passing through the points (2, –6) and (4, –16)</span>

4 0

2 years ago