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weeeeeb [17]
3 years ago
9

An architect built a scale model of a shopping mall. On the model, a circular fountain is 21 inches tall and 28 inches in diamet

er. If the actual fountain is to be 6 feet tall, what is its diameter?
Mathematics
1 answer:
cricket20 [7]3 years ago
4 0
An architect built a scale model of a shopping mall. On the model, a circular fountain is
20
20 inches tall and
22.5
22.5 inches in diameter. The actual fountain is to be
8
8 feet tall. What will be the diameter of the fountain? (A)
7.1
7.1 feet (B)
9
9 feet (C)
7
7 feet (D)
10.5
10.5 feet
Explanation


Verified
Step 1
1 of 2
Given a circular fountain is 20
i
n
c
h
e
s
inches tall and 22.5 inches in diameter.
Writing above scale as fraction
Height
Diameter
=
20
22.5

Diameter
Height
​
=
22.5
20
​

​

​

Now given the fact that actual fountain is 8
f
e
e
t
feet i.e 96
i
n
c
h
e
s
inches tall and let its diameter be
x
x
i
n
c
h
e
s
inches, therefore
20
22.5
=
96
x

22.5
20
​
=
x
96
​

​
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3 years ago
Two trains start from Fort Worth traveling at the same speed. The trip for Train W takes 20 hours, while the trip for Train Z ta
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Answer:

The equation that best models this situation is :

b. \frac{x}{20}=\frac{x+400}{25}

Distance traveled by Train W = 1600 miles

Distance traveled by Train Z = 2,000 miles

Step-by-step explanation:

Given:

Time taken for Train W to complete a trip = 20 hours

Time taken for Train Z to complete a trip = 25 hours

The city Train Z is traveling to is 400 miles farther away than the city Train W is traveling to.

both trains have same speeds and start from same location.

To find the distance in total each train travels.

Solution:

<em>Let length of the trip of Train W be </em>= x miles

Speed of Train W can be given as :

⇒ \frac{Distance}{Time}

⇒ \frac{x}{20}\ miles/h

<em>So, the length of the trip of Train Z will be</em> = (x+400) miles

Speed of Train Z can be given as :

⇒ \frac{Distance}{Time}

⇒ \frac{x+400}{25}\ miles/h

Since the speeds are same, so the equation to find x can be given as:

⇒ \frac{x}{20}=\frac{x+400}{25}

Solving for x

Multiplying both sides by 100 to remove fractions.

⇒ 100\times \frac{x}{20}=100\times \frac{x+400}{25}

⇒ 5x=4(x+400)

Using distribution.

⇒ 5x=4x+1600

Subtracting both sides by 4x

⇒ 5x-4x=4x-4x+1600

⇒ x=1600

Thus, Distance traveled by Train W = 1600 miles

Distance traveled by Train Z = 1600+400 = 2,000 miles

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Step-by-step explanation:

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The graph of the function P(x) = −0.52x2 + 23x + 92 is shown. The function models the profits, P, in thousands of dollars for a
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Answer:

6.84 ≤ x ≤ 37.39

Step-by-step explanation:

we have

P(x)=-0.5x^2+23x+92 -----> equation A

we know that

The company wants to keep its profits at or above $225,000,

so

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Remember that P(x) is in thousands of dollars

Solve the system by graphing

using a graphing tool

The solution is the interval [6.78,39.22]

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