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katen-ka-za [31]
3 years ago
5

Frankie is practicing for a 5 km race is normal time is 31 minutes 17 seconds yesterday it's a king only 29 minutes 49 seconds h

ow much faster was Frankie yesterday then his normal time
Mathematics
1 answer:
Rzqust [24]3 years ago
5 0

Answer: He was 1 minute 28 seconds faster.

Step-by-step explanation:

Hi, to answer this question we simply have to subtract Frankie's time yesterday (29 minutes 49 seconds) to his normal time (31 minutes 17 seconds)  

Mathematically speaking:  

31m 17s - 29m 49s =

(31m-29 m) (17s-49s)=

2m -32s=

1m 60s -32s=

1m 28s

He was 1 minute 28 seconds faster.  

Feel free to ask for more if needed or if you did not understand something.  

Feel free to ask for more if needed or if you did not understand something.  

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Solve 7x 6 < 3(x - 2).{x | x > -3}{x | x < -3}{x | x < -2}{x | x < 0}
Lelechka [254]
7x + 6 < 3(x - 2)
7x + 6 < 3x - 6
7x - 3x < -6 - 6
4x < -12
x < -12/4
x < -3

<span>{x | x < -3}</span>

6 0
3 years ago
Lucy spends 4 hours a week babysitting. Her sister Lily spends seven eighths as much time babysitting. Does Lily babysit for mor
olganol [36]

Answer:

Lily babysit for <u>less than 4 hours</u>.

Step-by-step explanation:

Given:

Lucy spends in a week babysitting for 4 hours.

Lily spends seven-eighths of 4 hours.

Now, to find whether Lily babysit for more than 4 hours or less than that.

Number of hours Lucy babysit = 4 hours.

So, to get the hours Lily babysit:

\frac{7}{8}\ of\ 4\ hours.

=\frac{7}{8}\times 4\\\\=\frac{28}{8} \\\\

<em>On simplifying we get:</em>

=\frac{7}{2} \\\\=3\frac{1}{2}\ hours.

<u><em>Thus, Lily spends </em></u>3\frac{1}{2}\ hours<u><em>  for babysitting which is less than 4 hours.</em></u>

Therefore, Lily babysit for less than 4 hours.

4 0
3 years ago
If EF = 2x+13, FG = 20, and EG = 71 what's the value of x​
klemol [59]

Answer:

<h2>x = 19</h2><h2></h2>

Step-by-step explanation:

|<----------------- 71 ----------------------->|

E-----------------------F---------------------G

       2x + 13                 20

find: x

EF + FG = DG

2x + 13 + 20 = 71

2x = 71 - 20 - 13

x = 38 / 2

x = 19

6 0
3 years ago
What is trigonometry ​
Vlada [557]

Answer:

the branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the maximum volume in cubic inches of an open box to be made from a 12-inch by 16-inch piece of cardboard by cutting out
Romashka-Z-Leto [24]

If you start with a 12x16 rectangle and cut square with side length x, when you bend the sides you'll have an inner rectangle with sides 12-2x and 16-2x, and a height of x.

So, the volume will be given by the product of the dimensions, i.e.

(12-2x)(16-2x)x = 4x^3-56x^2+192x

The derivative of this function is

12x^2-112x+192

and it equals zero if and only if

12x^2-112x+192=0 \iff x = \dfrac{14\pm 2\sqrt{13}}{3}

If we evaluate the volume function at these points, we have

f\left(\dfrac{14-2\sqrt{13}}{3}\right) = \dfrac{64}{27}(35+13\sqrt{13})> f\left(\dfrac{14-2\sqrt{13}}{3}\right) = -\dfrac{64}{27}(13\sqrt{13}-35)

So, the maximum volume is given if you cut a square with side length

x=\dfrac{14-2\sqrt{13}}{3}\approx 2.7

5 0
3 years ago
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