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3 years ago

13

I have a ribbon 5/7 of a foot. I want to cut it in 5/12 pieces. How many pieces can I cut 5/7 divided by 5/12= 5/7 x5/12= 15/7 p

ieces

1 answer:

Otrada [13]3 years ago

5 0

100 cm = 1 meter
<span>4.5 meter x 100 cm = 450 cm </span>

<span>450 cm / 4.5 cm = number of pieces of ribbon </span>

<span>450/4.5 = 100</span>

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I don't get this question or the clue here it is " my age is 10 more than one tenth of one tenth of one tenth of 3,000 what is m

Blababa [14]

13 is the answer. So, 1/10 of 1/10 of 1/10 of 3,000 is 3, +10= 13.

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3 years ago

A juggler tosses a ball into the air . The balls height, h and time t seconds can be represented by the equation h(t)= -16t^2+40

malfutka [58]

PART A

The given equation is

$h(t) = - 16 {t}^{2} + 40t + 4$

In order to find the maximum height, we write the function in the vertex form.

We factor -16 out of the first two terms to get,

$h(t) = - 16 ({t}^{2} - \frac{5}{2} t) + 4$

We add and subtract

$- 16(- \frac{5}{4} )^{2}$

to get,

$h(t) = - 16 ({t}^{2} - \frac{5}{2} t) + - 16( - \frac{5}{4})^{2} - -16( - \frac{5}{4})^{2} + 4$

We again factor -16 out of the first two terms to get,

$h(t) = - 16 ({t}^{2} - \frac{5}{2} t + ( - \frac{5}{4})^{2} ) - -16( - \frac{5}{4})^{2} + 4$

This implies that,

$h(t) = - 16 ({t}^{2} - \frac{5}{2} t + ( - \frac{5}{4}) ^{2} ) + 16( \frac{25}{16}) + 4$

The quadratic trinomial above is a perfect square.

$h(t) = - 16 ( t- \frac{5}{4}) ^{2} +25+ 4$

This finally simplifies to,

$h(t) = - 16 ( t- \frac{5}{4}) ^{2} +29$

The vertex of this function is

$V( \frac{5}{4} ,29)$

The y-value of the vertex is the maximum value.

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$h(t) = 0$

This implies that,

$- 16 ( t- \frac{5}{4}) ^{2} +29 = 0$

We add -29 to both sides to get,

$- 16 ( t- \frac{5}{4}) ^{2} = - 29$

This implies that,

$( t- \frac{5}{4}) ^{2} = \frac{29}{16}$

$t- \frac{5}{4} = \pm \sqrt{ \frac{29}{16} }$

$t = \frac{5}{4} \pm \frac{ \sqrt{29} }{4}$

$t = \frac{ 5 + \sqrt{29} }{4} = 2.60$

or

$t = \frac{ 5 - \sqrt{29} }{4} = - 0.10$

Since time cannot be negative, we discard the negative value and pick,

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3 years ago

Li has to read four books from a list of 10 books. how many sets of four books can be made?

Savatey [412]

To answer this question, we would use the combination formula which is
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3 years ago

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kvv77 [185]

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3 years ago

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barxatty [35]

Answer:

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Subtract 20 from -12 to get -32

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