Answer:
x=−2
Step-by-step explanation:
1 Expand.
6-2x-12=3x+4
6−2x−12=3x+4
2 Simplify 6-2x-126−2x−12 to -2x-6−2x−6.
-2x-6=3x+4
−2x−6=3x+4
3 Add 2x2x to both sides.
-6=3x+4+2x
−6=3x+4+2x
4 Simplify 3x+4+2x3x+4+2x to 5x+45x+4.
-6=5x+4
−6=5x+4
5 Subtract 44 from both sides.
-6-4=5x
−6−4=5x
6 Simplify -6-4−6−4 to -10−10.
-10=5x
−10=5x
7 Divide both sides by 55.
-\frac{10}{5}=x
−
5
10
=x
8 Simplify \frac{10}{5}
5
10
to 22.
-2=x
−2=x
9 Switch sides.
x=-2
x=−2
Answer:
6.34 × 10²
Step-by-step explanation:
Calculating scientific notation for a positive integer is simple, as it always follows this notation: a x 10b.
Step 1
To find a, take the number and move a decimal place to the right one position.
Original Number: 634
New Number: 6.34
Step 2
Now, to find b, count how many places to the right of the decimal.
New Number: 6 . 3 4
Decimal Count: 1 2
There are 2 places to the right of the decimal place.
Step 3
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 6.34
b = 2
Now the whole thing:
6.34 x 10²
Step 4
Check your work:
10² = 100 x 6.34 = 634
The expression that is equivalent to (-2)^4/(-2)^2 is (-2)^6/(-2)^4
<h3>How to determine the expression that is equivalent to (-2)^4/(-2)^2?</h3>
The expression is given as:
(-2)^4/(-2)^2
Apply the law of indices
(-2)^4/(-2)^2 = (-2)^(4 -2)
4 - 2 has the same value as 6 - 4
So, we have:
(-2)^4/(-2)^2 = (-2)^(6-4)
Apply the law of indices
(-2)^4/(-2)^2 = (-2)^6/(-2)^4
Hence, the expression that is equivalent to (-2)^4/(-2)^2 is (-2)^6/(-2)^4
Read more about equivalent expressions at:
brainly.com/question/2972832
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the answer is 5
Step-by-step explanation:
45÷9=5
Answer:
48 bags
Step-by-step explanation:
step 1
Find the area of the path
we know that
The area of the path is equal to the area of the outer circle minus the area of the inner circle
![A=\pi [rb^{2}-ra^{2}]](https://tex.z-dn.net/?f=A%3D%5Cpi%20%5Brb%5E%7B2%7D-ra%5E%7B2%7D%5D)
we have
----> the radius is half the diameter
----> the radius is half the diameter
substitute
![A=3.14 [19^{2}-16^{2}]](https://tex.z-dn.net/?f=A%3D3.14%20%5B19%5E%7B2%7D-16%5E%7B2%7D%5D)
step 2
Find out the number of sand bags needed
we know that
One bag of sand can cover 7 yd^2
so
Divide the total area by 7 to determine the number of bags
Round up
