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HACTEHA [7]
3 years ago
7

A circular fish pond is surrounded by a circular border of stones that is 18 inches wide. The fish pond is 4 feet in diameter. W

hat is the area of the border? (Use 3.14 for pi)
Mathematics
1 answer:
zvonat [6]3 years ago
8 0
18 inches=1.5 ft
Since the border extends around the entire circumference, it adds 3 ft to the total diameter of the border and pond.

3.14*3.5^2=38.465

Subtract the area of just the pond from this
3.14*2^2=12.56

38.465-12.56=25.905
Final answer: 25.905 ft^2
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A store sells Brazilian coffee for $10 per lb. and Columbian coffee for $14 per lb. If the store decides to make a 150-lb. blend
Artemon [7]

Answer:

The store should use 112.5 pounds of Brazilian coffee and 37.5 pounds of Colombian cofee.

Step-by-step explanation:

Let "b" be the amount of Brazilian coffee, in pounds, required for the blend and "c" the amount of Colombian coffee required, in pounds.

Since there are two unknown variables a two-equation system is needed to solve the problem, we can set up one equation for weight and another for price as follows:

b+c=150\\10*b+14*c=11*150

Solve for "c" by multiplying the first equation by -10 and adding it to the second one:

b+c=150\\10b+14c -10b-10c=11*150 -(10*150)\\4c=150\\c = 37.5

Now, solve for b by replacing the value obtained into the first equation

b+c=150\\b= 150 - 37.5\\b=112.5

The store should use 112.5 pounds of Brazilian coffee and 37.5 pounds of Colombian cofee.

6 0
3 years ago
I need help on how to do this!!!?​
liraira [26]

Let's say you had a cake that is cut into 5 equal slices. Then someone eats 2 of those slices. They ate 2/5 of the cake.

Now let's say you have another cake that you cut into 10 equal slices. If someone eats 4 of those ten, then they have eaten 4/10 = 2/5 of the cake.

Check out the diagram below to see a visual of how 4/10 and 2/5 are equivalent fractions.

Going from 2/5 to 4/10 has us multiply top and bottom by 2.

-----------

Similarly, 1/2 = 5/10 after multiplying top and bottom by 10

The original expression 2/5 + 1/2 turns into 4/10 + 5/10

Then you add the numerators to get 4+5 = 9, placing that over the common denominator of 10

<h3>Answer: 9/10</h3>

3 0
4 years ago
Which system of equations would have no
jenyasd209 [6]

Answer:

hi it's

Easy B

Step-by-step explanation:

No Problem

8 0
3 years ago
In parallelogram ABCD, AE=x^2-6 and CE=5x what is the value of x ? What is AC?
lutik1710 [3]

Answer:

see explanation

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, hence

AE = EC, that is

x² - 6 = 5x ( subtract 5x from both sides )

x² - 5x - 6 = 0 ← in standard form

(x - 6)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 6 = 0 ⇒ x = 6

x + 1 = 0 ⇒ x = - 5

However x > 0 ⇒ x = 6

AC = x² - 6 + 5x = 6² - 6 + 5(6) = 36 - 6 + 30 = 60

3 0
3 years ago
A reservoir is 3 1/4 miles wide. Tony sailed 4/5 the width of the reservoir. About how far did Tony sail?
7nadin3 [17]
Tony sailed 2 3/5 miles.
7 0
3 years ago
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