For this case we can model the problem as a rectangle triangle.
We know:
Length of the sides of the triangle
We want to know:
Length of the hypotenuse
Using the Pythagorean theorem we have:
Rewriting the expression we have:
Then, the distance that he would have saved if he travels directly is:
Answer:
he would have saved:
1.8 miles
Answer:
$19.07
Step-by-step explanation:
First off we need to find the discounted price of the jeans that Jessica bought.
We find the discount by multiplying the original price by 25% or 0.25
Discount Price = 23.98 x 0.25
Discount Price = 5.99
Now we subtract the discount from the original price.
Discounted Price = 23.98 -5.99
Discounted Price = 17.99
Now that we have the discounted price, we then compute for the sales tax.
Sales Tax = 17.99 x 0.06
Sales Tax = 1.08
Then we add the sales tax to the discounted price.
Total Price = 17.99 + 1.08
Total Price = $19.07
Jessica spent $19.07 on the jeans.
Answer:
89 km/hr
Step-by-step explanation:
Distance = Rate(speed) × Time
D = R × T
T = 4 hours
One car's rate is 12 kilometers per hour less than the other's.
Hence:
First's car's rate = r × 4 = 4r
Second car's distance = (r + 12) × 4 = 4r + 48
4r + 4r + 48 = 760
8r + 48 = 760
8r = 760 - 48
8r = 712
r = 712/8
r = 89 km/hr
The rate of the slower car is 89 km/hr
Answer:
It would take him approximately 16.62 minutes to reach the bookstore
Step-by-step explanation:
Total steps to the bookstore=Number of steps per minute×number of minutes
where;
Total steps to the bookstore=864 steps
Number of steps per minute=52
Number of minutes=t
Replacing;
864=52×t
t=864/52
t=16.62 minutes
It would take him approximately 16.62 minutes to reach the bookstore
We can't eliminate as is so we have to change something up there in the equations to get either the x values the same number but opposite signs, or the y values the same number but opposite signs. I chose to change the y values to the same number but different signs. In the first equation y is -3y and in the second one, y is -8y. The LCM of both of those numbers is 24, so we will multiply the first equation by an 8 (8*3=24) and the second equation by 3 (3*8=24) but since they are both negative right now, one of those multiplications has to involve a negative because - * - = +. Set it up like this:
8(-10x - 3y = -18)
-3(-7x - 8y = 11)
Multiply both of those all the way through to get new equations:
-80x - 24y = -144
21x +24y = -33
Now the y's cancel each other out leaving only the x's:
-59x = -177 and x = 3. Now plug that 3 into either one of the original equations to find the y value. Either equation will work; you'll get the same answer using either one. Promise. -7(3) - 8y = 11 gives a y value of -4. so your solution is (3, -4) or B above.
