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3 years ago

5

A ribbon is 12 3/8.Into how many 3/4 peices can it be cut?

1 answer:

lozanna [386]3 years ago

6 0

namely how many times does 3/4 go into 12⅜?

let's firstly convert the mixed fraction to improper fraction, and then divide.

$\bf \stackrel{mixed}{12\frac{3}{8}}\implies \cfrac{12\cdot 8+3}{8}\stackrel{improper}{\cfrac{99}{8}} \\\\\\ \cfrac{99}{8}\div \cfrac{3}{4}\implies \cfrac{99}{8}\cdot \cfrac{4}{3}\implies \cfrac{99}{3}\cdot \cfrac{4}{8}\implies 33\cdot \cfrac{1}{2}\implies \cfrac{33}{2}\implies 16\frac{1}{2}$

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3 years ago

The position function for a free-falling object is s(t) = -16t^2 + vt +5. A ball is thrown upward from the top of a 400-foot bui

mixer [17]

Answer:

6.21 seconds

Step-by-step explanation:

The position function of a free-falling object is,

$s(t) = -16t^2+v_0t+s_0$

Where,

$s_0$ = initial height of the object,

$v_0$ = initial velocity of the object,

Here,

$s_0=400\text{ feet}$

$v_0=35\text{ feet per sec}$

Hence, the height of the ball after t seconds,

$s(t)=-16t^2+35t+400$

When s(t) = 0,

$\implies -16t^2+35t+400=0$

$t=\frac{-35\pm \sqrt{35^2-4\times -16\times 400}}{2\times -16}$

$t=\frac{-35\pm \sqrt{1225+25600}}{-32}$

$\implies t\approx -4.02\text{ or }t\approx 6.21$

∵ Time cannot be negative,

Hence, after 6.21 seconds the ball will reach the ground.

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3 years ago

If you change the y-intercept in the equation y = -2x + 5 to y = -2x + 1, how will its graph change? A. It will increase at a fa

FinnZ [79.3K]

The starting value will decrease.

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3 years ago

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bezimeni [28]

Answer:

r = - 13 / 15 inches/week

Step-by-step explanation:

The numerator is 13

and the denominator is 15, then we have

r = - 13 / 15 inches/week

r < 0 since the water level of the lake fell

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3 years ago

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kherson [118]

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Step-by-step explanation:

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3 years ago