Answer:
2.3 × 10^-7
Step-by-step explanation:
First, create an equation with the initial decimal being the coefficient multiplied by 10 to the power of 0.
(For example, let’s create the starting scientific notation equation for the decimal 475,000).
475,000 = 475,000 × 10^0
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Now that we have an equation, the second step is to move the decimal point in the coefficient until there is 1 significant digit to the left of the decimal point. For each space the decimal point is moved to the left, increase the exponent by 1.
(Continuing the example above, move the decimal point to the left and increment the exponent.).
475,000 = 475,000.0 × 10^0
475,000 = 47,500.0 × 10^1
475,000 = 4,750.0 × 10^2
475,000 = 475.0 × 10^3
475,000 = 47.5 × 10^4
475,000 = 4.75 × 10^5
Answer:
17.5 miles per hour
Step-by-step explanation:
A boat travels upstream on a Mississippi river for 3.5 hours
The return trip takes 2.5 hours
The boat travels 2 miles per hour faster downstream
Let y represent the speed that was travelled upsteam
3.5y = 2.5(y + 2)
3.5y = 2.5y + 5
3.5y - 2.5y = 5
y = 5
Therefore the distance travelled by the boat upstream can be calculated as follows
= 3.5 × 5
= 17.5 miles per hour
Let us assume that x kg of 30% salt solution is mixed with (200-x) kg of 40% salt solution in order to obtain 200 kg of 37% salt solution.
We can set up a linear equation in terms of x by setting amount of total salt before mixing and after mixing equal to each other.
Therefore, 60 kg of 30% salt solution should be mixed with 140 kg of 40% solution.
Answer:
x >-14
Step-by-step explanation:
To solve the inequality, we need to isolate the variable, x
-4x -6 <50
Add 6 to both sides
-4x <56
Divide both sides by -4
Since we divided by a negative number, we must flip the inequality sign
x <-14
Flip the inequality sign
x> -14
