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2 years ago

A regulation football field is 300 feet by 160

Mathematics

1 answer:

igomit [66]2 years ago

5 0

Answer:

366.7424164 feet

Step-by-step explanation:

330x160

Use pythag theorem

a²+b²=c²

330²+160²=c²

c=366.7424164 feet

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Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 5 more than 4 times the number o

4vir4ik [10]

Mark has 18 and Don has 77 number of marble to sell.

Let’s say Mark has x number of marble and Don’s marble number is y.

According to this problem we have,

Y = 4x +5

And x + y = 95

Or, x + 4x + 5 = 95

Or, 5x = 90

Or, x = 18 and y = 77

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1 year ago

A swimming pool has a capacity of 2,500 gallons of water. The output of a hose is 25 gallon per minute. How much time would it t

g100num [7]

Answer:

100 minutes

Solution:

Capacity = 2,500 gallons
Hose = 25 gallons/minute

Solution:

25 gallons = 1 minute
=> 25x gallons = x minutes = 2500 gallons
=> 25x = 2500
=> x = 100 minutes

Hence, it will take 100 minutes to fill the pool.

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2 years ago

Calculating Areas of Multiple Polygons

zhuklara [117]

Answer:

the answer is 29

Step-by-step explanation:

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3 years ago

Read 2 more answers

HELP!!! Lucas deposits $250,000 into two investment accounts. Over a year, the first account

prohojiy [21]

The amount deposited in the account that earns 3.6% interest is $57,600 and the amount deposited in the account that earns 2.1% interest is $192,400

The first step is to determine the amount of interest he earned in total over a year

Interest = Amount in the account - amount deposited

$256,114 - $250,000 = $6,114

The second step is to formulate two set of equations and use simultaneous equation to solve the question

a + b = $250,000 equation 1

0.036a + 0.021b = $6,114 equation 2

Where a represent amount deposited in the account that earns 3.6% interest

b represent amount deposited in the account that earns 2,1% interest

Multiply equation 1 by 0.036

0.036a + 0.036b = 9000 equation 3

Subtract equation 2 from 3

2886 = 0.015b

divide both sides of the equation by 0.015

b = $192,400

Substitute for b in equation 1

a + 192,400 = 250,000

a = 250,000 - 192400

a = $57,600

To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults

6 0

2 years ago

A printer has a contract to print 100,000 posters for a political candidate. He can run the posters by using any number of plate

yulyashka [42]

Answer:

Step-by-step explanation:

From the given information;

Numbers of posters that can be printed in an hour = no of impression/hour × no of plate utilized in each impression.

= 1000x

Thus, the required number of hours it will take can be computed as:

$\implies \dfrac{100000}{1000x} \\ \\ =\dfrac{100}{x}$

cost per hour = 125

If each plate costs $20 to make, then the total number of plate will equal to 40x

∴

The total cost can be computed as:

$C(x) = (\dfrac{100}{x}) \times 125 + 20 x --- (1)$

$C'(x) = (-\dfrac{12500}{x^2}) + 20 --- (2)$

At C'(x) = 0

$\dfrac{12500}{x^2} = 20$

$\dfrac{12500}{20} = x^2$

$x^2= 625$

$x = \sqrt{625}$

x = 25

$C'' (x) = -12500 \times \dfrac{-2}{x^3} +0$

$C'' (x) = \dfrac{25000}{x^3}$

where; x = 25

$C'' (x) = \dfrac{25000}{25^3}$

C''(x) = 1.6

Thus, at x = 25, C'' > 0

As such, to minimize the cost, the printer needs to make 25 metal plates.

4 0

3 years ago