Answer:
<em>Approximation = 3 < x < 4 or -4 < x < -3</em>
<em>Exact Solution = 3.162 or -3.162</em>
Step-by-step explanation:
5x^2 - 24 = 26
<em>First add 24 to both sides....</em>
5x^2 = 50
Divide by 5...
x^2 = 10
Square root of 10 is exactly 3.162 or -3.162
Since 10 is not a perfect square, we can approximate it's square root by analyzing the perfect squares it is in between.
These perfect squares are 9 and 16
It looks like this:
We know that the square roots of these numbers are 3 and 4 so that leaves us with this...
Since we are dealing with square roots and perfect squares, we can also consider this as an option...
Answer:
$29
Step-by-step explanation:
1) Write all of the prices in a single column:
$15.69
$3.45
$1.75
$0.98
$0.55
$6.15
2) Round all of the items to the nearest dollar:
$16
$3
$2
$1
$1
$6
3) Add all of the values:
$29
A. 1/5 fish
We know that 2/5 of Mike's fish are clownfish. Therefore, 3/5 are not clownish as 5/5 – 2/5 = 3/5. Also, if you look at the model, there are five pieces. If we assume that model represents the whole of Mike's fish and you take away two pieces, you are left with 3/5. So we know that the remaining fish is 3/5
Next, we know that of these 3/5 fish, 1/3 is damselfish, so we need to find 1/3 of 3/5. To do this, we must multiply 1/3 by 3/5 as "of" means multiply in Math.
So: 1/3 • 3/5 = 1 • 3/3 • 5 = 3/15 3 ÷ 3 = 1 and 15 ÷ 3 = 5 3/15 = 1/5
1/5 of Mike's fish are damsel fish
B. 2/5 fish
Now we know that 1/5 of Mike's fish is damselfish, and 2/5 is clownfish. To find the fraction of his fish that are neither, therefore, we must subtract their sum from the whole.
First, we add 1/5 and 2/5 together. Adding the numerators, 1 and 2, we get 1/5 + 2/5 = 3/5
Next, we subtract: 5/5 – 3/5 = 2/5, so 2/5 of his fish are neither clownfish or damselfish
And if you look at the model again, you can see that if you cross out 1 piece for the damselfish, and 2 pieces for the clownfish, you are left with 2/5
Answer:
Step-by-step explanation:
como pongo el brainly en español?
Answer: 5/(2)^9
Step-by-step explanation:
(40^7)/(2^30 x 25^3)=
(2*2*2*5)^7 / (2^30 x (5*5)^3)=
(2^7 * 2^7 * 2^7 * 5^7) / (2^30 x 5^3 * 5^3)=
(2^(7+7+7) * 5^7) / (2^30 x 5^(3+3))=
(2^21 * 5^7) / (2^30 x 5^6)=
2^(-9) * 5^1=5/(2)^9