Cynthia ate 1/4 of the pizza. if the pizza has egiht slices how many slices left?

The weight of an object on Earth varies directly as the weight of the same object on the moon. A 300 pound object on Earth would

slava [35]

Answer: 12 pounds.

Step-by-step explanation:

To solve this question, we'll use the direct proportion which is.

y = kx

Where,

y = weight on moon = 48 pounds

x = weight on Earth = 300 pounds

k = Unknown

y = kx

48 = 300k

k = 48/300

k = 0.16

The weight that a 75 pound object on Earth would weigh on the moon will be:

y = kx

where,

y = weight on moon = Unknown

k = 0.16

x = weight on Earth = 75 pounds

y = kx

y= 0.16 × 75

y = 12 pounds

The weight on the moon will be 12 pounds.

7 0

3 years ago

Are assocative properties true for all intergers? explain

Fudgin [204]

No, Associative proporties are not true for all integers. The deffinition for integer (n) 1. one of the positive or negative numbers 1, 2, 3, act., or zero. Compare whole number

4 0

4 years ago

Many doctors rely on the use of intravenous medication administration in order to achieve an immediate response of a particular

rewona [7]

The domain of the function is 0 ≤ t ≤ 3 and the greatest concentration of the medication is 2mg/L

<h3>The domain of the function</h3>

The equation of the function is given as:

$C(t) = \frac{-18t^2 + 54t}{t^2 + 7t + 10}$

Time can be 0 or greater but cannot be negative.

So, the domain of the function includes t ≥ 0

Set the function to 0 to determine the maximum value of t.

$\frac{-18t^2 + 54t}{t^2 + 7t + 10} = 0$

Cross multiply

$-18t^2 + 54t = 0$

Factor out -18t

-18t(t - 3) = 0

Divide both sides by -18t

t - 3 = 0

Add 3 to both sides

t = 3

This means that the maximum value of t is 3

Hence, the domain of the function is 0 ≤ t ≤ 3

<h3>The greatest concentration of the medication</h3>

From the graph of the function (see attachment), we have the maximum value to be;

C(t) = 2

Hence, the greatest concentration of the medication is 2mg/L

Read more about functions at:

brainly.com/question/1214333

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8 0

2 years ago

The scatter plot shows the number of DVDs Aaron sold in different months:

netineya [11]

We'll say that months = n.

Make a set of the DVD's sold:

${20, 50, 80, 110, 140...}$

In month 1, Aaron sold 20 DVDs. There is no data for month 0.

There is a constant increase of 30 DVDs every month. We can make an equation out of this to fit this data set:

$a = 30n - 10$

a represents the DVDs made.

We need to subtract 10 in this equation, as the starting point is 20, and the increase of 30 is different from the increase from n = 0 to n = 1.

We are looking for the amount of DVDs Aaron sold on the 13th month. Plug 13 into the equation:

$n = 13$
$30(13) - 10 = 390 - 10 = 380$

The predicted number of DVDs Aaron will sell on the 13th month is 380.

4 0

3 years ago

Read 2 more answers

The diagonal is a of a rectangular field is 169m. If the ratio of the length to the width is 12:5 find the dimensions

Aleks04 [339]

Based on the calculations, the dimensions of the rectangle are

Length, L = 156 meters.
Width, w = 65 meters.

<h3>What is a diagonal?</h3>

The diagonal of a rectangle can be defined as a line segment that connects any two (2) of its non-adjacent vertices together while dividing the rectangle into two (2) equal parts.

Mathematically, the length of diagonals of a rectangle can be calculated by using this formula:

d = √(l² + w²)

Where:

d is the diagonal of a rectangle.

l is the length of a rectangle.

w is the width of a rectangle.

Since the ratio of the length to the width is 12:5, we have:

Width, w = 5l/12

Substituting the given parameters into the formula, we have;

169 = √(l² + (5l/12)²)

169² = l² + (5l/12)²

169² = l² + (25l²/144)

Length, L = 156 meters.

For the width, we have:

Width, w = 5l/12

Width, w = 5(156)/12

Width, w = 65 meters.

Read more on rectangle here: brainly.com/question/25292087

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4 0

2 years ago