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Rama09 [41]
2 years ago
14

A band marches 2 1/2 miles in 1 2/3 hours at a juneteenth parade. They march at the same rate in a fourth of july parade for 1/2

hour. How far does the band march in 1/2 hour?
Mathematics
1 answer:
nordsb [41]2 years ago
3 0

Using proportions, it is found that the band marches 0.75 miles in half an hour.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

According to the information given in the problem, the following<em> rule of three</em> can be built:

2.5 miles - 1.67 hours

x miles - 0.5 hours.

Applying cross multiplication, we have that:

1.67x = 2.5(0.5)

x = 2.5(0.5)/1.67

x = 0.75 miles

The band marches 0.75 miles in half an hour.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

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3 0
3 years ago
Let f(x)=6/5x−1/2. Describe the transformations from the graph of f to the graphs of g(x)=−f(x) and h(x)=f(−x).
aivan3 [116]

Answer:

g(x)=-6/5x+1/2

h(x)=-6/5x-1/2

Step-by-step explanation:

1).   g(x)=−f(x) ?

f(x)=6/5x−1/2

g(x)=−(6/5x−1/2)

<u>g(x)=-6/5x+1/2</u>

2). h(x)=f(−x) ?

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f(-x)=-6/5x-1/2

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8 0
3 years ago
Loan amount: 13000
Fofino [41]

Answer:

  5.1%

Step-by-step explanation:

The proceeds of the loan are ...

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The amount repaid is 13000. That amount is ...

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times the proceeds. So, the effective interest rate is ...

  1.05051 -1 = 5.051% ≈ 5.1%

5 0
3 years ago
Creative landscaping has 60 yards of fencing with which to enclose a rectangular flower garden. If the garden is X yards long, e
7nadin3 [17]

Answer:

\texttt{Area = Length x Width}\\\\\texttt{Area =}x\times (30-x)=30x-x^2\\\\\texttt{Area =}30x-x^2

<h3>Area, A(x) = 30x - x² , as a function of the length (x).</h3>

Step-by-step explanation:

Creative Landscaping has 60 yard of fencing with which to enclose a rectangular garden.

If the garden is X yards long, express the Gardens area as a function of length

Let x be the length of garden

So perimeter of rectangle = 60 yard

Perimeter = 2 * ( Length + width)

60 = 2 * ( x + width)

Width = 60/2 - x

Width= 30 - x

\texttt{Area = Length x Width}\\\\\texttt{Area =}x\times (30-x)=30x-x^2\\\\\texttt{Area =}30x-x^2

<h3>Area, A(x) = 30x - x² , as a function of the length (x).</h3>

3 0
4 years ago
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