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2 years ago

Please help I'll give 40 points

Mathematics

1 answer:

iris [78.8K]2 years ago

8 0

Use this rule: √ab = √a√b

√12√x^2

Simplify √12 to 2√3

2√3√x^2

Simplify √x^2 to x

2√3x^2

Multiply the numerator and denominator by the conjugate.

2√x/x

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The volume of a 10 ounce box of cheerios is 258.75in3. the length of the box is 4 inches less than the height and the width is 3

Marina86 [1]

Answer:

Height of the box = 11.5 in

Step-by-step explanation:

Let h be the height of the box.

Assuming the volume of the Box is $258.75\ in^3$ .

Given:

Length = Height - 4 = h - 4

Width = 3 in

We need to find the height of the box.

Solution:

We know that the volume of the box.

$Volume = Length\times height\times width$

Substitute all given value in above formula.

$258.75 = (h-4)\times h\times 3$

Rewrite the equation as:

$258.75 = 3h(h-4)$

$258.75 = 3h^2-12h$

$3h^2-12h-258.75=0$

whole equation divided by 3.

$h^2-4h-86.25=0$

Use quadratic formula with $a = 1, b = -4,c=-86.25$

$h=\frac{-b\pm \sqrt{(b)^{2}-4ac}}{2a}$

Put these a, b and c value in above equation.

$h=\frac{-(-4)\pm \sqrt{(-4)^{2}-4(1)(-86.25)}}{2(1)}$

$h=\frac{4\pm \sqrt{16+345}}{2}$

$h=\frac{4\pm \sqrt{361}}{2}$

$h=\frac{4\pm 19}{2}$

For positive sign

$h=\frac{23}{2}$

h = 11.5 in

For negative sign

$h=\frac{-15}{2}$

h = -7.5

We take positive value of h.

Therefore, the height of the box h = 11.5 in

4 0

3 years ago

Subtract 6 from me. Then multiply by 2. If you subtract 40 and then divide by 4, you get 8. What number am I?

aliina [53]

Answer:

Step-by-step explanation:

Let the number be "x"

We translate the word equation to algebraic equation.

First,

subtract 6 from me, so we have:

x - 6

Now,

Multiply by 2, so we have:

2(x-6)

Now,

Subtract 40, then divide by 4:

$\frac{2(x-6)-40}{4}$

Now, you get "8", so equate this to 8, we get:

$\frac{2(x-6)-40}{4}=8$

We now solve using algebra:

$\frac{2(x-6)-40}{4}=8\\2(x-6)-40=4*8\\2(x-6)-40=32\\2x-12-40=32\\2x-52=32\\2x=32+52\\2x=84\\x=42$

The number is 42

7 0

3 years ago

A container can hold five orange slices.If a company has 737 orange slices to put in containers how many more slices would they

Phantasy [73]

Answer:2
You need 2 more orange slices to fill up the last container.

5 0

3 years ago

Help and I will follow

inn [45]

Answer:

Step-by-step explanation:

Our total is x.

Maysa took half of the cherries, so there is .5x left.

Nabilla took half of the remaining, so that is .5*0.5x, which is .25x

Abdulla took 3.

Your equation is:

.25x-3=5

.25x=8

x=32

So there are 32 cherries

7 0

3 years ago

A circle is drawn within a square as shown. What is the best approximation for the area of the shaded region? Use 3.14 to approx

Angelina_Jolie [31]

Answer:

168.168 square inches

Step-by-step explanation:

Given data

From the question, we can deduce that the side of the square is 28in

Hence the area of the square is

Area= 28^2

Area= 784 square inches

Also, the diameter of the circle is 28 in

The radius = 14 in

Area of circle= πr^2

Area= 3.142*14^2

Area= 3.142* 196

Area= 615.832 square inches

Therefore the area of the shaded region is

= Area of Square - Area of Circle

= 784-615.832

=168.168 square inches

4 0

3 years ago