3/5 = 0.3 * x
3/5 is 30% of x - This is how they match up from the word problem to a number sentence
So to solve it...
3/5 = 0.3x
x = 3/5 ÷ 0.3 = 2
Answer:
A; the actual length of the land bridge from P to H is 50 yards
Step-by-step explanation:
Here in this case, given the coordinates of P and H, we want to calculate the actual length of the distance between the two points.
Mathematically, to calculate this distance, we make use of the distance formula;
D = √(x2-x1)^2 + (y2-y1)^2
In this case, (x1,y1) = (2,55) while (x2,y2) = (32,15)
Substituting these values
D = √(32-2)^2 + (15-55)^2
D = √(-30)^2 + (-40)^2
D = √(900 + 1600)
D = √(2,500)
D = 50 units
Now, we know that each units represent 1 yard, thus 50 units will represent 50 * 1 = 50 yards
Answer:
Since the exponent on 10 is positive, I know they are looking for a LARGE number, so I'll need to move the decimal point to the right, in order to make the number LARGER. Since the exponent on 10 is "12", I'll need to move the decimal point twelve places over.
First, I'll move the decimal point twelve places over. I make little loops when I count off the places, to keep track:
3.6 _ _ _ _ _ _ _ _ _ _ _ .
Then I fill in the loops with zeroes:
3.600000000000.
In other words, the number is 3,600,000,000,000, or 3.6 trillion
Step-by-step explanation:
Given the matrix
![\left[\begin{array}{cc}20&30\\15&5\\5&2\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D20%2630%5C%5C15%265%5C%5C5%262%5Cend%7Barray%7D%5Cright%5D%20)
representing the number of thousands of gallons of regular and premium oil sold by the three stations of Tiger oil company and the matrix
![\left[\begin{array}{c}500\\600\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D500%5C%5C600%5Cend%7Barray%7D%5Cright%5D%20)
representing dolloars per thousands of gallons of regular and premium oil sold by Tiger oil company.
T<span>he matrix for total dollar volume of sales using matrix multiplication is given by:
![\left[\begin{array}{cc}20&30\\15&5\\5&2\end{array}\right] \left[\begin{array}{c}500\\600\end{array}\right]= \left[\begin{array}{c}20(500)+30(600)\\15(500)+5(600)\\5(500)+2(600)\end{array}\right] \\ \\ = \left[\begin{array}{c}10000+18000\\7500+3000\\2500+1200\end{array}\right] =\left[\begin{array}{c}28000\\10500\\3700\end{array}\right]](https://tex.z-dn.net/?f=%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D20%2630%5C%5C15%265%5C%5C5%262%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D500%5C%5C600%5Cend%7Barray%7D%5Cright%5D%3D%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D20%28500%29%2B30%28600%29%5C%5C15%28500%29%2B5%28600%29%5C%5C5%28500%29%2B2%28600%29%5Cend%7Barray%7D%5Cright%5D%20%20%5C%5C%20%20%5C%5C%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D10000%2B18000%5C%5C7500%2B3000%5C%5C2500%2B1200%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D28000%5C%5C10500%5C%5C3700%5Cend%7Barray%7D%5Cright%5D)
Therefore, the total dolar </span><span>volume of sales is per thousand of gallons of oil is given by:
![\left[\begin{array}{c}28000\\10500\\3700\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D28000%5C%5C10500%5C%5C3700%5Cend%7Barray%7D%5Cright%5D)
</span>
Answer:
D
Step-by-step explanation:
b = -3