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Gnesinka
14 days ago
7

There are seven roads that lead to the top of a hill. How many different ways are there to reach the top and to get back down, i

f the uphill and downhill roads are different?
Mathematics
1 answer:
lawyer [12.5K]14 days ago
7 0

We have seven pathways (let’s call them A, B, C, D, E, F, and G) leading to the summit of a hill. We must choose one road to ascend and then select a different road for the descent.

Initially, we can choose from any of the seven roads. Hence, there are 7 options to reach the top.

Upon reaching the peak, the first road is disqualified from further selection, leaving us with six remaining roads to descend. Therefore, there are 6 choices for going back down.

Consequently, the total number of routes = 7 × 6 = 42 distinct ways.

In summary, there are 42 unique routes available to ascend to the peak and to return, assuming different roads for ascent and descent.

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Michael uses a blend of dark chocolate and milk chocolate to make the ice cream topping at his restaurant. He needs to buy 100\,
AnnZ [12381]

Answer:

Michael purchases 60 kg of dark chocolate alongside 40 kg of milk chocolate.

Step-by-step explanation:

Let d signify the kilograms of dark chocolate bought by Michael and m signify the kilograms of milk chocolate he acquires.

He must acquire a total of 100 kg of chocolate, thus

d+m=100

With dark chocolate priced at $12 per kg, the cost for d kg would be $12d. The price of milk chocolate is $10 per kg, indicating the cost for m kg is $10m. Michael intends to spend $1,120 on the chocolate, therefore

12d+10m=1,120

Taking the first equation

d=100-m

By inserting this into the second equation:

12(100-m)+10m=1,120\\ \\1,200-12m+10m=1,120\\ \\-12m+10m=1,120-1,200\\ \\-2m=-80\\ \\m=40\\ \\d=100-m=100-40=60

Michael ends up buying 60 kg of dark chocolate and 40 kg of milk chocolate.

7 0
1 month ago
There are cars and motorcycles in a campus parking lot. The parking attendant noticed there are a total of 294 tires and a total
babunello [11817]
Esto no puede ser correcto ya que si hay 60 coches, eso implica 240 ruedas de coches, y 25 bicicletas significan 50 ruedas de bicicletas, lo que suma un total de 290 ruedas. Si hubiera 1 coche adicional, habría 86 vehículos y 294 ruedas, o si se agregaran 2 bicicletas más, eso resultaría en 87 vehículos y 294 ruedas.
4 0
9 days ago
Two fathers and two sons own 21 horses. They are moving to different parts of the country and want to divide the horses evenly a
tester [12383]
They cannot possess the same number of horses; let me clarify. If you divide 21 horses among four individuals, you would perform 21/4, yielding 5.25, implying that fractional horses are unfeasible. Therefore, at least one individual must have 6 horses instead of 5. Possibly, this is what your instructor wants you to understand. For an even distribution, they could sell one horse, making it 20, so each would then have 5 horses. Alternatively, they might share the extra horse to rotate its usage.
7 0
26 days ago
Indicate the data relationship for each table. A 2-column table with 4 rows. Column 1 is labeled x with entries 3, 4, 5, 6. Colu
babunello [11817]

Answer:

Table A- Proportional relationship

Graph- Nonproportional relationship

Table B- Proportional relationship

Equation- Proportional relationship

Step-by-step explanation:

8 0
1 month ago
they paid $13 for each pepperoni pizza and $11for each plain pizza the club bought total of 18 pizzas for the party and paint a
Leona [12618]

Complete question;

A booster club financed pizzas for an end-of-season celebration. The cost was $13 for each pepperoni pizza and $11 for each plain pizza. They purchased a

total of 18 pizzas for the event, totaling $212.

Organize the numbers into an equation that represents this scenario with x being the number of pepperoni pizzas and y being the number of plain pizzas purchased.

Answer:

13x + 11y = 212

Step-by-step explanation:

Two varieties of pizza were purchased: pepperoni and plain. The pepperoni variety cost $13 each while the plain one cost $11 each. In total, they bought 18 pizzas.

The overall expenditure on the pizzas was $212.

total number of pizzas = 18

total amount spent on pizzas = $212

x represents the number of pepperoni pizzas

y represents the number of plain pizzas

The cost of the pepperoni pizzas is derived by multiplying the number of pizzas by their individual price. The same calculation applies for the plain pizzas.

Therefore, by summing the costs of both pizza types, we arrive at the total price for the pizzas.

13x + 11y = 212

4 0
1 month ago
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