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tester [92]
3 years ago
9

Last year, a property manager bought seven identical snow shovels and nine identical bags of salt. The total cost of the snow sh

ovels was $241.50, before tax, and each bag of salt cost $6.20, before tax. This year, the property manager bought 3 identical snow shovels and six identical bags of salt. The total cost of the snow shovels was $105.57, before tax, and the total cost of the bags of salt was $39.06, before tax. Determine the item with the greatest percent increase in the price from last year. Be sure to include the percent increase for this time to the nearest percent.
Mathematics
1 answer:
marin [14]3 years ago
6 0

Answer:

Step-by-step explanation:

The formula to approach this shall be:

( Final price - Initial price )/ Final price × 100/1 ............. 1

Hence for the snow shovels

Initial price = $241.50 for 7

Each will cost = $241.50/7

= $34.5

Final price for snow shovels

= $105.57 for 3 shovels

Each will cost = $105.57/3

= $35.19

Now considering the bags of salt

Initial price = $6.20 each

Final price = $39.06 for 6 bags

Each bag cost = $39.06/6

= $6.51

Now apply the formula in equation (1)

For snow shovels

($35.19- $34.5)/$34.5 × 100/1

= 0.69/34.5 × 100/1

= 0.02×100/1

= 2%

For bags of salt

($6.51-$6.20)/$6.20 ×100/1

0.31/6.20×100/1

0.05×100/1

= 5%

Hence from the above solution, we can now deduce that shovel increased by 2% while bags of salt went up by 5%.

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Step-by-step explanation:

Let the number be x.

<u>1</u><u> </u> =8 + x

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6×<u>1</u>=6×8+6×x

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1=48+6x

1-48=6x

<u>-</u><u>4</u><u>7</u>=<u>6</u><u>x</u>

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x is equal to minus seven whole number five divided by six.

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3 years ago
A woman walks due west on the deck of a ship at 3 mi/h. The ship is moving north at a speed of 22 mi/h. Find the speed and direc
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Answer: The speed is 22.2 mi/hr and woman is 8° north relative to the surface of the water.

Step-by-step explanation:

Since we have given that

Speed at which woman walks due west = 3 mi/hr

Speed at which ship moving due north = 22 mi/hr

Now it forms "Pythagorus theorem":

So, it becomes,

H^2=B^2+P^2\\\\H^2=3^2+22^2\\\\H^2=9+484\\\\H^2=493\\\\H=\sqrt{493}\\H=22.20\ mi/hr

And the direction of the woman relative to the surface of the water is given by

\theta=\sin^{-1}x(\dfrac{3}{22.2})=7.76\approx 8^\circ

Hence, the speed is 22.2 mi/hr and woman is 8° north relative to the surface of the water.

5 0
3 years ago
This table shows the number of marbles in a bag by color. If one marble is randomly selected from the bag, what is the
ratelena [41]

Answer:

p(blue or red) = 0.52 = 52%

Step-by-step explanation:

total number of marbles = 7 + 10 + 14 + 19 = 50

number of blue marbles = 7

number of red marbles = 19

number of blue or red marbles = 7 + 19 = 26

p(blue or red) = 26/50

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3 0
3 years ago
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Zarrin [17]

Answer:

la respuesta esta abajo

Step-by-step explanation:

a) Sea x el número del artículo x mientras que y representa el número del artículo y.

Dado que cada cantidad de artículo x requiere 2 horas de trabajo de perforación, mientras que cada cantidad de artículo y requiere 5 horas de trabajo de perforación. Hay un máximo de 40 horas disponibles, por tanto el modelo se da como:

2x + 5y ≤ 40

b) La trama se trazó utilizando la herramienta gráfica en línea de geogebra.

c) Para 10 unidades de X y 5 unidades de y:

2 (10) + 5 (5) = 45> 40

Por lo tanto, esto no sería posible porque requerirá 45 horas de perforación, lo que es más que el máximo de 40 horas disponibles.

8 0
3 years ago
B) -3x - 10 = 5x + 6
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Answer:

- 2

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3 years ago
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