Respuesta :

Answer:

see below

Step-by-step explanation:

1.

¢78 per pack of 6 labels

costumer wants to buy 34 labels

= 34 labels   x   ¢ 78    

                        6 labels

= $4.42

2.

bedroom = 14 ft. x 16 ft.

carpet cost = $2.49 per ft²

padding cost = $1.81 per ft²

find: total cost of carpet and padding

solution:

bedroom area = 14x16 = 224 ft²

carpet cost = $2.49 per ft²  x 224 ft² = $557.46

padding cost = $1.81 per ft² x 224 ft² = $405.44  

total                                                      = $ 963.2        

3.

three makes = $9.87 per hour

two    makes = $15.35 per hour  

one   makes = $17.98 per hour

one   makes = $23.47 per hour

find: average pay for the seven workers:

solution:

add all rates divide it by number of workers

= 9.87 + 15.35 + 17.98 + 23.47

                        7

= 66.67

       7

=  $9.52

4.

gasoline truck = 10,000 gallons full

if 4,781 gallons are delivered to gas stations

each gallon weights = 7.5 pounds apx.

find: what is the weight remaining gallons of gasoline in the 10,000 gallon tank?

solution:

a truck delivered 4,781 gallons to a 1 station

10,000 - 4,781 = 5,219 gallons

therefore, the weight of the remaining gasoline in the tank is:

= 5219 gallons  x 7.5 pounds

                                gallon

= 39,142.5 pounds

alternatively,

if a truck delivered 4,781 gallons per station:

10,000 = 2.09  (this means a gasoline truck can only deliver

 4,781                 two gas stations )

the remaining gasoline in the tank is:

= 10,000 - (2 x 4,781)

= 438 gallons of gasoline

therefore, the weight of the remaining gasoline in the tank is:

= 438 gallons  x 7.5 pounds

                                gallon

= 3,285 pounds

5.

checking account balance = $1,266.73

write checks for $456.99, $35.00, $576.91 and $567.91

made a deposit of $892.14

find: what is your new balance?

solution:

= you write checks which is:

= $456.99, $35.00, $576.91 and $567.91

= $1,636.88 (note this is not a withdrawal)

 this means it doesn't affect the balance

= deposit of $892.14

new balance =  $1,266.73 + $892.14

                     = $2,158.87

alternatively,

if the write checks has been withdrawn, then deposited $892.14

the new balance would be = $1,266.73 - $1,636.88 + $892.14

                                             = $521.99

----------------------------------------------------------

1.

approximately 1250 people will be coming to get flu shot

if the shots are packed by the dozen:

find: how many dozen should be ordered to cover the estimate?

solution:

= 1250 people x      1 dozen  

                            12 flu shots

= 104.17 ⇒ 105 dozens

therefore, 105 dozens is required to cover 1250 people

2.

wall is 81 ft wide x 52 ft tall.

paint will cover 500 ft² per gallon.

if paint cost $14.99/gallon

find: how much will it cost for enough to paint to cover the wall?

solution:

wall area = 81 x 52

               = 4,212 ft²

paint required =  4,212 ft²  x   1 gallon

                                                  500 ft²  

                        = 8.424 gallons of paint needed.

therefore, the cost of paint to cover the wall is:

= 8.424 gallons x $14.99/gallon

= $ 126.27

3.

40 hours past. overtime pays = 1.5 times the rate

50 hours past. overtime pays = 2 times the rate

rate at less than 40 hours = $16.82

worked 56 hours in one week.

find: how much you earned?

solution:

normal  = 40 hours x $16.82          = $ 672.8

over 40 = 10 hours x 1.5 x $16.82  = $ 252.3

over 50 =  2 hours x 2 x $16.82     = $   67.2    

total                                                  = $ 992.38

therefore, the total money earned is

$ 992.38

4.

20 ft long piece of steel weights 2.2 ton

4 ft is cut off

find: weight of the 4 foot in pounds

solution:

weight per foot = 2.2 ton

                              20 ft

                           = 0.110 ton/ft.

weight of four ft = 4 ft. x  0.110 ton

                                           1 ft.

                          = 0.440 ton x    2,240 pounds  

                                                         1 ton

                          = 985.6 pounds

5.

odometer reads 52,513 miles

returned from trip = 84,756 miles

average gas mileage = 23.8 mpg.

find: how many gallons did you use?

solution:

mileage = 84,756 - 52,513

             = 32,243 miles

gallons used = 32,243 miles

                         23.8 mpg

                     =  1,354.7 gallons

Step-by-step explanation:

[tex]

\underline{\bf{Given\::}}

Given:

\underline{\bf{To\:find\::}}

Tofind:

\underline{\bf{Explanation\::}}

Explanation:

\boxed{\bf{\frac{1}{f} =\frac{1}{v} -\frac{1}{u} }}}}

\begin{gathered}\longrightarrow\sf{\dfrac{1}{-10} =\dfrac{1}{v} -\dfrac{1}{-30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{1}{-10} +\dfrac{1}{30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{-3+1}{30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\cancel{\dfrac{-2}{30} }}\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{1}{-15} }\\\\\\\longrightarrow\sf{v=-15\:cm}\end{gathered}

−10

1

=

v

1

−30

1

v

1

=

−10

1

+

30

1

v

1

=

30

−3+1

v

1

=

30

−2

v

1

=

−15

1

⟶v=−15cm

\boxed{\bf{M \:A \:G \:N\: I \:F \:I \:C\: A\: T \:I \:O\: N :}}

MAGNIFICATION:

\begin{gathered}\mapsto\sf{m=\dfrac{Height\:of\:image\:(I)}{Height\:of\:object\:(O)} =\dfrac{Distance\:of\:image}{Distance\:of\:object} =\dfrac{v}{u} }\\\\\\\mapsto\sf{m=\cancel{\dfrac{-30}{-15}} }\\\\\\\mapsto\bf{m=2\:cm}\end{gathered}

↦m=

Heightofobject(O)

Heightofimage(I)

=

Distanceofobject

Distanceofimage

=

u

v

↦m=

−15

−30

↦m=2cm

Thus;

The magnification will be 2 cm .

[/tex]