All categories

3 years ago

Which statement illustrates the distritive property

Mathematics

1 answer:

sp2606 [1]3 years ago

4 0

Distributive property is used when you have a number outside a set of numbers in parenthesis.

Using the distributive property, you multiply the number outside the parenthesis by each number inside the parenthesis.

The first answer is correct because they are multiplying 9 by 20 and adding it to 9 multiplied by 6.

You might be interested in

2. The bottom of a ramp is placed 15 feet from the edge of a stage

Firdavs [7]

Answer:

The slope of the ramp is 1.

Step-by-step explanation:

See the diagram attached.

Here, AC = 15 ft. and ED = 5 ft. while AE = 10 ft.

Then, EC = (15 - 10) = 5 ft.

Now, considering the right triangle Δ EDC, if $\theta$ is the inclination of the ramp, then $\tan \theta = \frac{ED}{EC} = \frac{5}{5} = 1$

Hence, $\theta = 45 ^{\circ}$

Therefore, the slope of the ramp is 1. (Answer)

8 0

4 years ago

Suppose the distributor charges the artist a $40.00 cost for distribution, and the streaming services pay $4.00 per unit. (Note:

Nookie1986 [14]

The question is an illustration of a linear equation

The y-intercept is 40
The slope is 4
The equation of the line is $y =4x + 40$
You pay the distributor after 1 charge
You pay $750,000 for 177.5 streams

<h3>(a) How to calculate the y-intercept</h3>

From the question, we have the following parameters:

Cost of distribution: $40.00
Rate = $4.00 per unit

The cost of distribution represents the y-intercept, while the rate represents the slope.

Hence, the y-intercept is 40

<h3>(b) How to calculate the slope</h3>

In (a), we have:

The rate represents the slope.

Hence, the slope is 4

<h3>(c) The equation of the line</h3>

A linear equation is represented as:

$y = mx + b$

Where:

m represents the slope
b represents the y-intercept

Using the results in (a) and (b), the linear equation is:

$y =4x + 40$

See attachment for the graph of the equation

<h3>(c) The number of streams you pay the distributor</h3>

From the graph, we can see that the line touches the x-axis at the negative x-axis.

This means that, you pay the distributor after 1 charge

<h3>(d) The number of streams to pay $750,000</h3>

This means that: y = 750.

So, we have:

$y =4x + 40$

$750 = 4x + 40$

Subtract 40 from both sides

$4x = 710$

Divide both sides by 4

$x = 177.5$

Hence, you pay $750,000 for 177.5 streams

Read more about linear equations at:

brainly.com/question/14323743

7 0

2 years ago

5 3⁄10 hectometers = meters

Morgarella [4.7K]

Answer:

$\large\boxed{5\dfrac{3}{10}\ hectometers=530\ meters}$

Step-by-step explanation:

$PREFIXES\\\\mega\ (M)=10^6\\\\kilo\ (k)=10^3\\\\hecto\ (h)=10^2\\\\deko\ (da)=10\\\\decy\ (d)=10^{-1}=0.01\\\\centi\ (c)=10^{-2}=0.01\\\\mili\ (m)=10^{-3}=0.001\\\\mikro\ (\mu)=10^{-6}=0.000001$