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vredina [299]
2 years ago
7

Leland was able to build 1/4 of a shelf in 2/3 of an hour. How many shelves can he build per hour?​

Mathematics
1 answer:
Gre4nikov [31]2 years ago
7 0

Answer:

7/20 of one shelf in an hour

Step-by-step explanation:

if you think about the problem in numbers out of 100, we know that

- 2/3 of an hour is 40 minutes per hour because 60/3 = 20

- 1/4 of a shelf is 25% of the shelf

In an hour Leland can build 35% of a shelf in an hour or 7/20 of a shelf

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asambeis [7]

Answer:

The rocket will take 4.5 seconds to reach its maximum height.

Step-by-step explanation:

The height of a missile t seconds after it has been fired is given by h=-4.9*t²+44.1*t

This function is a quadratic function of the form f (x) = a*x² + b*x + c. In this case a=-4.9, b=44.1 and c=0

To calculate how many seconds it will take for the rocket to reach its maximum height, I must calculate the maximum of the function. The maximum of a quadratic function is the vertex of the parabola. The x coordinate of the vertex will be simply: x=\frac{-b}{2*a}. The y coordinate of the vertex corresponds to the function evaluated at that point.

In this case the x coordinate of the vertex corresponds to the t coordinate. In other words, by calculating the x coordinate of the vertex, you are calculating the maximum time t it will take for the rocket to reach its maximum height. So:

t=\frac{44.1}{2*(-4.9)}

t=4.5

<u><em>The rocket will take 4.5 seconds to reach its maximum height.</em></u>

7 0
2 years ago
Simon is buying a sofa for $995. If he makes a down payment of 15% of the selling price, the furniture store will allow him to p
SVEN [57.7K]

Answer: 15% of 995 is 149.25, rounded up he should be paying 149 monthly

6 0
3 years ago
Can someone tell me the answer please
arsen [322]
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7 0
2 years ago
Cl2 + 2KBr -&gt; Br2 + 2KCl what is the reaction?
Serjik [45]

Answer:

Step-by-step explanation:

C

l

2

+

2

K

B

r

→

2

K

C

l

+

B

r

2

Given:

300

g

of

C

l

2

300

g

of

K

B

r

(a) Mass of

C

l

2

= 300g

Molecular mass of

C

l

2

= 2(35.45) = 70.906 g

/

m

o

l

No.of moles of

C

l

2

=

m

a

s

s

/

m

o

l

a

r

m

a

s

s

=

300

/

70.906

=

4.23

moles

Mass of

K

B

r

=

300

g

Molar mass of

K

B

r

=

39

+

79.9

=

118.9

g

/

m

o

l

No.of moles of

K

B

r

=

300

/

118.9

=

2.52

moles

Now,

Consider the equation:

C

l

2

+

2

K

B

r

→

2

K

C

l

+

B

r

2

1

mole of

C

l

2

= 2 moles of

K

C

l

4.23

moles of

C

l

2

= 2x4.23=

8.46

moles

2

moles of

K

B

r

= 2 moles of

K

C

l

2.52

moles of

K

B

r

=

2.52

moles

Now convert moles to mass,

Mass of

K

C

l

produced by

C

l

2

=

8.46

×

70.906

=

599.8

g

Mass of

K

C

l

produced by potassium bromide =

2.52

×

74.5

=

187.74

g

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