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2 years ago

Carol bought 8 identical boxes for a total of $3.60. How much did each box cost?

Mathematics

1 answer:

elena-14-01-66 [18.8K]2 years ago

6 0

Answer:

Each box costs 0.45$

Let b represent how many boxes where bought

0.45b = 3.60

b = 8

Step-by-step explanation:

Divide 3.6 by 8

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A stained glass window is going to be installed in a semi-circular opening, which is above a 30 inch wide door. If the stained g

xenn [34]

The answer is $494.55

Let's first imagine a circle and calculate its area and then reduce it in half for the area of a semi-circle. Since this opening is above a 30-inch wide door, the circle will have a diameter of 30 inches.
The area of the circle (A) is:
A = π · r²
where:
π = 3.14
r - radius: r = diameter ÷ 2 = 30 ÷ 2 = 15 inches

So, the area of the circle is:
A = π · r² = 3.14 · 15² = 706.5 inches²

The area of the semicircle is half of the area of the circle:
A1 = A ÷ 2 = 706.5 ÷ 2 = 353.25 inches²

Since the stained glass window costs $1.40 per square inch, for 353.25 square inches it will cost $494.55:
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2 years ago

Simplify completely the quantity 5 times x to the third power plus 10 times x to the 2nd power plus 15 times x all over 5 times

aleksley [76]

Answer:

i. think it 1032

Step-by-step explanation:

4 0

2 years ago

What is the most précis approximation of the square root of 12

igomit [66]

3.46410161514 or 3.5

5 0

2 years ago

Read 2 more answers

Hi, can someone please help, and possibly explain the answer please.

mr_godi [17]

Answer:

$x=\frac{-(-2)\±\sqrt{(-2)^2-4(3)(0)} }{2(3)}$

Step-by-step explanation:

Quadratic formula: $x=\frac{-b\±\sqrt{b^2-4ac} }{2a}$ when the equation is $0=ax^2+bx+c$

The given equation is $1=-2x+3x^2+1$ . Let's first arrange this so its format looks like $y=ax^2+bx+c$ :

$1=-2x+3x^2+1$

$1=3x^2-2x+1$

Subtract 1 from both sides of the equation

$1-1=3x^2-2x+1-1\\0=3x^2-2x+0$

Now, we can easily identify 3 as a, -2 as b and 0 as c. Plug these into the quadratic formula:

$x=\frac{-b\±\sqrt{b^2-4ac} }{2a}\\x=\frac{-(-2)\±\sqrt{(-2)^2-4(3)(0)} }{2(3)}$

I hope this helps!

8 0

2 years ago

Slope = 2/5; passes through (-3,1)

nydimaria [60]

Presumably we're after the line with that slope through that point. In general the line through $(a,b)$ with slope $m$ is

$y-b = m(x-a)$

Here we have $a=-3, b=1, m=\frac 2 5$

$y - 1 = \frac 2 5 (x--3)$

$y = \frac 2 5 x + \frac 6 5 + 1$

$y = \frac 2 5 x + \frac{11}{5}$

Check: The slope is clearly $\frac 2 5$
so we check

$y = \frac 2 5 (-3) +\frac{11}{5} = \frac 5 5 = 1 \quad\checkmark$

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2 years ago