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3 years ago

Which step shows the result of applying the subtraction property of equality?

Mathematics

1 answer:

Scilla [17]3 years ago

7 0

Answer:

First step

Step-by-step explanation:

Subtract the 4 to the other side making the equation

(12x+8)+4=3

12x+8=-1

12x=-9

x=-3/4

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Arte-miy333 [17]

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Step by Step Explanation

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3 years ago

A pattern has 5 blue triangles to every 80 yellow triangles. What is the ratio of blue triangles to all triangles in simpligied

GrogVix [38]

Answer:

1/16

Step-by-step explanation:

Both 5 and 80 can be divided by 5.

This reduces the ratio of 5/80 to 1/16.

3 0

3 years ago

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Scott invests $1000 at a bank that offers 6% compounded annually.Write an equation to model the growth of the investment

gladu [14]

Answer:

Step-by-step explanation:

Using the formula for the growth of investment:

.....[1]

where,

A is the amount after t year

P is the Principal

r is the growth rate in decimal

As per the statement:

Scott invests $1000 at a bank that offers 6% compounded annually.

⇒P = $1000 and r = 6% = 0.06

substitute these in [1] we get;

⇒

Therefore, an equation to model the growth of the investment is,

7 0

2 years ago

) The density of oil in a circular oil slick on the surface of the ocean at a distance of r meters from the center of the slick

Feliz [49]

Answer:

Therefore the mass of the of the oil is 409.59 kg.

Step-by-step explanation:

Let us consider a circular disk. The inner radius of the disk be r and the outer diameter of the disk be (r+Δr).

The area of the disk

=The area of the outer circle - The area of the inner circle

= $\pi (r+\triangle r)^2- \pi r^2$

$=\pi [r^2+2r\triangle r+(\triangle r)^2-r^2]$

$=\pi [2r\triangle r+(\triangle r)^2]$

Since (Δr)² is very small, So it is ignorable.

∴ $A=2\pi r\triangle r$

The density $\delta (r)= \frac{40}{1+r^2}$

We know,

Mass= Area× density

$=(2r \pi \triangle r)(\frac{40}{1+r^2}})$

Total mass $M=\sum_{i=1}^n \frac{80r_i\pi }{1+r^2}\triangle r_i$

Therefore

$\sum_{i=1}^n \frac{80r_i\pi }{1+r^2}\triangle r_i=\int_0^5 \frac{80r\pi }{1+r^2}dr$

$=40\pi[ln(1+r^2)]_0^5$

$=40\pi [ln(1+5^2)-ln(1+0^2)]$

$=40\pi ln(26)$

= 409.59 kg (approx)

Therefore the mass of the of the oil is 409.59 kg.

3 0

3 years ago

Someone PLease please help me

makvit [3.9K]

Answer is 1 . Righttttttttttttt

4 0

3 years ago