All categories

3 years ago

1. Use the distributive property to write an expression that is equivalent to 12+4x.

1 answer:

5 0

Since 4 and 12 share a common factor of 4, you could write:

4x + 12 = 4 (x + 3)

Also, since 4 and 12 share a common factor of 2, you could write:
4x + 12 = 2 ( 2x + 6)

You might be interested in

I=$24, P=$400, t=2 years The annual interest rate is %.

kolbaska11 [484]

So the right ans is 3%.

Look at the attached picture⤴

Hope it will help u...

8 0

3 years ago

If 0.142857142857......is expressed in the form m/n, then what is the value of (2m + n)?

frosja888 [35]

Answer:

The value will be: 1,285,713

Step-by-step explanation:

We have the number:

N = 0.142857...

Such that we have 6 decimals after the decimal point that repeat infinitely.

Then let's start by multiplying our number by 1,000,000 (same number of zeros as decimals after the decimal point)

Then we get:

1,000,000*N = 142,857.142857...

Now let's subtract N from both sides:

1,000,000*N - N = 142,857.142857... - 0.142857...

999,999*N = 142,857

Now let's isolate N

N = 142,857/999,999

Here is our number expressed in the form m/n, where:

m = 142,857

n = 999,999

Then the value of (2*m + n) is:

(2*142,857 + 999,999) = 1,285,713

5 0

3 years ago

A man walks along a straight path at a speed of 4 ft/s. A searchlight is located on the ground 20 ft from the path and is kept f

krek1111 [17]

Answer:

0.128rad/sec

Step-by-step explanation:

Let x represent the between the man and the point on the path

θ = the angle

dx/dt = 4 ft/s

dθ/dt = rate is the searchlight rotating when the man is 15 ft from the point on the path closest to the searchlight

tan θ = x/20 ft

Cross Multiply

20tan θ = x

dx/dt = 20sec² θ dθ/dt

dθ/dt = 1/20 × cos² θ dx/dt

dθ/dt= 1/20 × cos² θ × 4

dθ/dt = 1/5 × cos² θ

Note : cos θ = 4/5

dθ/dt = 1/5 × (4/5)²

dθ/dt = 16/125

dθ/dt = 0.128rad/sec

6 0

3 years ago

Talk to me. My dad is vincent afton my mom is vanny, my uncles are henry and william, my auntie is clara, My cousins are goldie

Shkiper50 [21]

Answer:

hiya!!

Step-by-step explanation:

5 0

3 years ago

Three consecutive even numbers have a sum where one half of the sum is between 84 and 96

mamaluj [8]

86 *2 = 172

172/3 = 57.33

54 + 56 +58 =168

168/2 =84

56 + 58 +60 = 174

174/2 =87

58 +60 +62 = 180

180/2 = 90

60 +62 +64 = 186

186/2 = 93

62 +64+66 = 192

192/2 = 96

there are 3 sets of numbers that fall between 84 & 96

1 set equals 84 and 1 set equals 96

so if you are counting those there are 5 sets

6 0

3 years ago