Answer:
14 one 15 6
Step-by-step explanation:
Answer: 44 miles
WORKINGS
Given,
The distance between Indianapolis and Lima, IL = 173 miles
The distance between Indianapolis and Dayton, ID = 165 miles
The distance between Dayton and Lima, DL is unknown
Since there are straight roads connecting the three cities, the connection between them form a right angles triangle.
The right angle is at Dayton
The hypotenuse is the distance between Indianapolis and Lima, IL
Therefore IL^2 = ID^2 + DL^2
173^2 = 165^2 + DL^2
DL^2 = 173^2 – 165^2
DL^2 = 29929 – 27225
DL^2 = 2704
DL = 52 miles
Therefore, The distance between Dayton and Lima, DL = 52 miles
The question is asking how many more miles would Meg drive if she stopped in Dayton first than if she drove directly to Lima.
That is, Distance of Indianapolis to Dayton + Distance of Dayton to Lima – Direct distance of Indianapolis to Lima
That is, ID + DL – IL
= 165 miles + 52 miles – 173 miles
= 217 miles – 173 miles
= 44 miles
Therefore, Meg would drive 44 more miles if she stopped in Dayton first than if she drove directly to Lima.
Answer:
6 1/3
Step-by-step explanation:
3 times what equals 19 can be in the form of an equation as shown below. It shows that the value we are finding for is unknown, therefore it is a variable. A variable is the unknown value in an equation.
Equation: 3x = 19
With the equation in hand, we can now solve the problem easily.
3x = 19
Carry the 3 to the 19(Carry over the like terms across leaving the variable or the unknown)
x = 19÷3
x = 6.33333 or 6 1/3
To check if the answer was correct:
3 × 6 1/3 = 19
You regain the answer <em>19</em>
The <em><u>correct answer</u></em> is:
$43.20
Explanation:
The formula we have is
c = p(1+r), where c is the total cost, p is the price of the item before tax, and r is the tax rate written as a decimal. This formula comes from the fact that adding a percent tax to the cost of an item takes 100% of the price and adds r% to it; this is why we multiply the price by (1+r).
Since our tax rate is 8%, r = 8% = 8/100 = 0.08. The price of the item is $40. Using this information, we have:
c = 40(1.08) = $43.20
Answer:
720
Step-by-step explanation:
nPk = n!/(n-k)!
10P3 = 10!/(10-3)! = 10!/7!
= 10·9·8 = 720
