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leva [86]
3 years ago
12

Translate the following word problems into equations and solve.

Mathematics
1 answer:
vekshin13 years ago
6 0

Answer:

1.

Step-by-step explanation:

1. 2x-4=10

2x=14

x=7

2. 3x+3=2x-1

3x-2x=-1-3

x=-4

3. 7x+x=24

8x=24

x=3(

4. 5+x=-18

x=-18-5

x=-23

5. -14=10-6x

6x=10+14

6x=24

x=4

6. 2x-2=x+12

2x-x=12+2

x=14

7. 3x-31=2

3x=2+31

3x=33

x=11

8. 5x-14=16

5x=16+14

5x=30

x=6

9. 2x+8=4(5-x)

2x+8=20-4x

2x+4x=20-8

6x=12

x=2

10. 2x-3=3(1+x)

2x-3=3+3x

2x-3x=3+3

-x=6

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In the equation (x+8)^2+(y-2)^2=25,

</span>Center = (-8, 2)
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An air conditioning manufacturer produces room air conditioners at plants in Houston, Phoenix, and Memphis. These are sent to re
blsea [12.9K]

Answer:

$16,000

Step-by-step explanation:

For easier understanding and calculation; we created a table for solving this question.

Destination →  Dallas     Atlanta     Denver      Availability

Source

<u>↓                                                                                           </u>

<u>Houston          $ 8         $ 12             $ 13          850          </u>

<u />

<u>Phoenix           $ 10       $ 14             $ 8           800            </u>

<u />

<u>Memphis         $ 11         $ 8             $ 14          350            </u>

<u>Requirement    800       700            250                             </u>

<u />

Minimum Shipping Cost to Dallas is from Houston and they have 850 air conditioners, Dallas need 800, so ship all required 800 air conditioners from Houston itself

Minimum shipping cost of Atlanta is from Memphis and they have 350 air conditioners, but Atlanta need 700, so ship all the 350 air conditioners that Memphis have to Atlanta

Minimum shipping cost to Denver is from Phoenix and they have 800 air conditioners, but Denver need 250, so ship all the required 250 air conditioners to Denver itself.

Destination →  Dallas     Atlanta     Denver      Availability

Source

<u>↓                                                                                           </u>

Houston          $ 8         $ 12             $ 13          850          

<u>                         (800)                                                           </u>

Phoenix           $ 10       $ 14             $ 8           800        

<u>                                                         (250)                             </u>

<u />

Memphis         $ 11         $ 8             $ 14          350            

<u>                                       (350)                                               </u>  

<u>Requirement    800       700            250                             </u>

Still Atlanta need 350 air conditioners more, the second minimum shopping cost to Atlanta is from Houston and they have 50 air conditioners left .

So, ship all the 50 air conditioners that Houston have to Atlanta

Also, sent the remaining 300 air conditioners that Atlanta need from Phoenix

Destination →  Dallas     Atlanta     Denver      Availability

Source

<u>↓                                                                                           </u>

Houston          $ 8         $ 12             $ 13          850          

<u>                         (800)      (50)                                                 </u>

Phoenix           $ 10       $ 14             $ 8           800        

<u>                                      (300)           (250)                             </u>

<u />

Memphis         $ 11         $ 8             $ 14          350            

<u>                                       (350)                                               </u>  

<u>Requirement    800       700            250                             </u>

The total cost of shipping = ($ 8 × 800) +( ( $ 12 × 50)+($ 14 × 300) +( $ 8 × 350) ) + ( $ 8 × 250)

= ( $ 6, 400) + $ ( 600 + 4, 200 + 2, 800 ) + $ 2, 000

= $ 16,000

Therefore, the total cost = $ 16,000

7 0
3 years ago
47 in = ? ft ? in<br><br>4 ft 0 in<br><br>3 ft 11 in<br><br>564 ft 0 in<br><br>3 ft 9 in
Ksju [112]

Answer:

B. 3ft 11in

Step-by-step explanation:

You can convert the in into ft and it is 3ft 11in


I hope it helps! Have a great day!

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Answer:

258

Step-by-step explanation:

7 0
2 years ago
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