Please help me with this, and thx in advance

A delivery truck drives three routes in one day. The first route is 1223 miles long, the second route is 1034 miles long, and th

avanturin [10]

Answer:

$Total = 38\frac{11}{12}\ miles$

Step-by-step explanation:

Given

$First\ Route = 12\frac{2}{3}\ miles$

$Second\ Route = 10\frac{3}{4}\ miles$

$Third\ Route = 15\frac{1}{2}\ miles$

Required

Determine the total miles

$Total = First\ Route + Second\ Route + Third\ Route$

$Total = 12\frac{2}{3} + 10\frac{3}{4} + 15\frac{1}{2}$

Convert to improper fractions

$Total = \frac{38}{3} + \frac{43}{4} + \frac{31}{2}$

Take LCM

$Total = \frac{152 + 129 + 186}{12}$

$Total = \frac{467}{12}$

$Total = 38\frac{11}{12}\ miles$

5 0

2 years ago

the lawn order lawnmower factory can produce 12 lawnmowers in 8 hours . How many hours will take the factory to produce 30 lawnm

Radda [10]

1 lawnmower= 8hours/12 =2/3 hour
30 lawnmowers= 30*2/3hour= 20 hours

7 0

2 years ago

Read 2 more answers

Find the missing lengths of the sides.

Irina18 [472]

Answer:

The choice third ; a=9 , c= 18

Step-by-step explanation:

$\sin(60) = \frac{9 \sqrt{3} }{c} \\ \\ c = 18$

$\tan(30) = \frac{a}{9 \sqrt{3} } \\ \\ a = 9$

3 0

1 year ago

A coach purchases 47 hats for his players and their families at a total cost of $302. The cost of a small hat is $5.50. A medium

frosja888 [35]

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.

Since a total of 47 hats where purchased, hence:

x + y + z = 47 (1)

Also, he spent a total of $302, hence:

5.5x + 6y + 7z = 302 (2)

He purchases three times as many medium hats as small hats, hence:

y = 3x

-x + 3y = 0 (3)

Represent equations 1, 2 and 3 in matrix form gives:

$\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] ^{-1} \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}6\\18\\23\end{array}\right]$