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fredd [130]
3 years ago
14

Kathy has a circular hot tub in her backyard with a

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
8 0

Answer:

$231.42

Step-by-step explanation:

Find the tub radius.  It is C = 2πr, which here is C = 6.28(5.5 ft ) = 34.54 ft.

The border costs $6.70/ft.  Multiply $6.70/ft by 34.54 ft:

($6.70/ft)(34.54 ft) = $231.42

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8% of a number is 20
Gnoma [55]
To find what the number is, we need to set up proportional fractions.
Currently, we have 8% of a number is 20.
To set up our fractions, put 100% under 8% as a fraction first.

It should look like this: 8/100 (hint: per-cent means per-hundred).

Now, we have 20 out of a number, x. This is because we are claiming that 20 is 8% of a number (if we just reword the question without changing the concept).
It should look like this: 20/x.

Our proportional fractions are:
20/x = 8/100.

To solve for this, we need to cross-multiply the denominator of 8/100 (bottom number, 100) with the numerator of 20/x (top number, 20).

This product equation should look like this:
20 x 100 (when simplified, we get 2000).

Now, we need to cross multiply the numerator of 8/100 (top number, 8) with the denominator of 20/x (bottom number, x).

This product equation should look like this:
8x.

Now that we've cross-multiplied, set our two products as an equation.

8x = 2000.

To solve for x, divide both sides by 8 (remember, what you do to one side of an equation, you must do it to the other).

8x / 8 = x
2000 / 8 = 250.

x = 250

Your final answer is:

8% of 250 is 20.

I hope this helps!
3 0
3 years ago
Read 2 more answers
What is the value of x, the acid concentration of the first solution?
bezimeni [28]

Answer:

A) 0.05

Step-by-step explanation:

Let's summarize into an equation the information we can get from that table.

We have 4 liters of an acid of an unknown concentration, let's call it (4x).

We have 10 liters of an acid with known concentration of 0.40.

And we have a total of 14 liters overall with a concentration of 0.3o.

That's like a weighted average formula: 4x + 10 y = 14z  

Let's replace the concentration values we know and solve this:

4x + 10 (0.4) = 14 * 0.3  

4x + 4 = 4.2

4x = 0.2

x = 0.05

So, the concentration of the 4 liters of acid on concentration X are in fact of concentration of 0.05.

6 0
3 years ago
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If 2(y + 10) = 18, find the value of 1/2y
Masja [62]

Answer:

y = -1 ?

Step-by-step explanation:

y+10= 18/2

y+10=9

y=9-10

y=-1

5 0
3 years ago
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Write a quadratic equation, in factored form solution are 0,and 6
Salsk061 [2.6K]

Answer: x(x-6)=0

4 0
2 years ago
Mia is standing 210 yd from a radio tower.
Artyom0805 [142]

height = tan(11) x 210

height = 40.81 yards

 rounded to nearest tenth = 40.8 yards

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