If the price of an object dropped 35% down to 91.00, what was the original price?

If a person's eye level is h meters above sea level and he can see d kilometers to the horizon, then d=3.57h. Suppose the person

olga2289 [7]

Answer:

54.3m

Step-by-step explanation:

h = distance above sea level

d = distance he can sea above sea level

d = 3.57h

h = 15.21m

d = ?

d = 3.57 × 15.21

d = 54.2997m approximately 54.3m

The person can see up to a distance of 54.3m

6 0

3 years ago

Given h(x) = -x + 5, find h(-5).

Murrr4er [49]

Answer:

10

Step-by-step explanation:

h(x) = -(-5) + 5

h(x) = 5 + 5

h(x) = 10

3 0

2 years ago

12. The container shown has a capacity of 60 milliliters. What fraction of it is empty?

White raven [17]

This is an incomplete question, the image is shown below.

Answer : The fraction empty container is, $\frac{7}{12}$

Step-by-step explanation :

As we are given that:

The capacity of container = 60 mL

In the given figure, the container is filled with 25 mL.

That means,

60 - 25 = 35 mL container is empty.

Now we have to calculate the fraction of it is empty.

The fraction of it is empty = $\frac{\text{Capacity of empty container}}{\text{Total capacity of container}}$

The fraction of it is empty = $\frac{35mL}{60mL}$

The fraction of it is empty = $\frac{7}{12}$

Therefore, the fraction empty container is, $\frac{7}{12}$

7 0

3 years ago

If this fish tank is filled only halfway, how much water will it hold?

Morgarella [4.7K]

Answer:

I believe you typed your final answer choice incorrectly, as it should read 960 which is the correct answer

Step-by-step explanation:

the volume is 1920

1920/2=960

6 0

3 years ago

A baker is building a rectangular solid box from cardboard to be able to safely deliver a birthday cake. The baker wants the vol

k0ka [10]

The length of the rectangular delivery box must be equal to 4 inches.

Let the length of the box be L.

Let the width of the box be W.

Let the height of the box be H.

Given the following data:

Volume of box = 224 cubic inches.

Translating the word problem into an algebraic expression;

$W = 3 + L$ ......equation 1

$H = 4 + L$ ......equation 2.

Mathematically, the volume of a rectangular solid is given by the formula;

$Volume = length * width * height$ .....equation 3.

Substituting the values into equation, we have;

$224 = L * (3 + L) * (4 + L)\\\\224 = (3L + L^{2})* (4 + L)\\\\224 = 12L + 3L^{2} + 4L^{2} + L^{3} \\\\224 = 12L + 7L^{2} + L^{3}$

Rearranging the polynomial, we have;

$L^{3} + 7L^{2} + 12L - 224 = 0$

We would apply the remainder theorem to solve the polynomial.

According to the remainder theorem, if a polynomial P(x) is divided by (x - r) and there is a remainder R; then P(r) = R.

When x = 3

$(x - 3) = 0\\x = 3$

$P(3) = 3^{3} + 7(3^{2}) + 12(3) - 224\\\\P(3) = 27 + 7(9) + 36 - 224\\\\P(3) = 27 + 63 + 36 - 224 = -98 \neq 0$

We would try with 4;

$P(4) = 4^{3} + 7(4^{2}) + 12(4) - 224\\\\P(4) = 64 + 7(16) + 48 - 224\\\\P(4) = 64 + 112 + 48 - 224\\\\P(4) = 224 - 224 = 0$

Therefore, 4 is one of its roots.

Hence, the length of the rectangular delivery box must be equal to 4 inches.

Find more information on polynomial here: brainly.com/question/10689855

3 0

3 years ago