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tekilochka [14]
3 years ago
9

On a scale drawing of a park, the length of a trail is 12 cm from the playground to the pond and 15 cm from the pond to the park

ing lot. If the actual length of the trail from the pond to the parking lot is 60 m, what is the actual length of the trail between the playground and the pond? (Represent/Solve)
a. Define and determine a variable to help solve the problem: (remember look at what the problem is asking)
b. What two things are being compared?
c. Set up a proportion equation using your answer to b (remember “like” units
should be in same place in the proportion)
d. Fill in numbers to your proportion equation using the information from the
problem
e. Use your proportion to solve the problem (remember cross product strategy)
Mathematics
1 answer:
Katen [24]3 years ago
8 0

Answer:

The answer is 48 m

Step-by-step explanation:

In this situation,

15 cm = 60 m  

which means 1 cm = 60/15 m = 4m

therefore,

length of the trail between the playground and the pond in scale drawing= 12 cm

since, 1 cm= 4 m

therefore, 12 cm = 12*4 m = 48 m

the actual length of the trail b/w playground and pond = 48m

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Factor 28+56t+28w28+56t+28w28, plus, 56, t, plus, 28, w to identify the equivalent expressions. Choose 2 answers:
Effectus [21]

Answer: The factorization of  28+56t+28w =28(1+2t+w)

The factors of 28+56t+28w are 28 and 1+2t+w.

Step-by-step explanation:

The given expression : 28+56t+28w

To factorize it, we need to find the common factor.

As 56 can be written as 2 x 28.

So, the above expression would become

28+2\times28t+28w

Now, taking 28 as common from all the terms, we will get

28(1+2t+w)

Thus, the factorization of  28+56t+28w =28(1+2t+w)

And the factors of  28+56t+28w are 28 and 1+2t+w.

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there are nickels, dimes, and quarters in a piggy bank. altogether, the coins are worth $3.65. the number of dimes is three time
hoa [83]

This question is solved using a system of equations, and doing this, we get that: There are 9 quarters, 4 nickels and 12 dimes.

I am going to say that:

x is the number of nickels.

y is the number of dimes.

z is the number of quarters.

In all, they are worth $3.65.

A nickel is worth $0.05, a dime is worth $0.1 and a quarter is worth $0.25, so:

0.05x + 0.1y + 0.25z = 3.65

Dimes: 3 times greater than nickels:

This means that:

y = 3x

Quarters: One greater than double the number of nickels:

This means that:

z = 2x + 1

Value of x:

We have y and z as function of x, so we can replace into the equation and find the value of x, so:

0.05x + 0.1y + 0.25z = 3.65

0.05x + 0.1(3x) + 0.25(2x+1) = 3.65

0.05x + 0.3x + 0.5x + 0.25 = 3.65

0.85x = 3.4

x = \frac{3.4}{0.85}

x = 4

y and z:

y = 3x = 3(4) = 12

z = 2x + 1 = 2(4) + 1 = 9

There are 9 quarters, 4 nickels and 12 dimes.

A similar question is found at brainly.com/question/17096268

4 0
3 years ago
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