Answer:
4-
30 minutes --- 562.5 miles
240 minutes --- 300 miles
480 minutes --- 0 miles
600 minutes --- 150 negative miles (they would have already arrived).
5- 240 CDs will weigh 720 ounces.
Step-by-step explanation:
4- Given that Bryan family's summer house is 600 miles away, and after 30 minutes, they are 562.5 miles left to their destination, to determine the distance in the following minutes the following calculations must be performed:
30 minutes --- 562.5 miles
240 minutes --- 300 miles
600 - 562.5 = (37.5) / 30 = (1.25) x 240 = 300 miles
480 minutes --- 0 miles
600 - 562.5 = (37.5) / 30 = (1.25) x 480 = 600 miles
600 minutes --- 150 negative miles
600 - 562.5 = (37.5) / 30 = (1.25) x 600 = 750 miles
5- Given that Jasmine mails 2 CDs in an envelope and the envelope weighs 6 ounces, to calculate the weight of 240 CDs the following algebraic calculation must be performed:
6/2 x 240 = X
3 x 240 = X
720 = X
Thus, 240 CDs will weigh 720 ounces.
See the attached figure to better understand the problem
we know that
in the triangle ABC
<span>applying the Pythagorean theorem
AC</span>²=AB²+BC²
<span>AC=8 cm
AB=apothem
BC=9.4/2-----> 4.7 cm
AB</span>²=AC²-BC²-----> 8²-4.7²-----> 64-22.09------> AB²=41.91
AB=√41.91-------> 6.47 cm---------> 6.5 cm
apothem=6.5 cm
the answer is6.5 cm
Answer:
Right side towards positive x axis
Step-by-step explanation:
Let us see the basic rule to find the orientation of parabolas.
1. If power if x is 2 and y is 1 , the parabola opens up or down.
2. If the power of y is 2 and that of x is 1 , the parabola opens right or left.
3. If the coefficient of
in case 1 is negative it opens downward
4. If the coefficient of
in case 2 is negative , it opens left towards negative x axis.
Hence our equation is

here is satisfies the case 2. hence it opens right or left . Also the coefficient of
is positive so it opens up to the right side , that is towards positive x axis.
Answer:
9/12
Step-by-step explanation:
Both 9 and 12 can be divided by 3, so it is not in simplest form.
Using the table, you are looking at a ratio of 9 Dimes to 6 nickels or 9:6 which can be simplified by dividing each by three (a number they are both divisible by without going into decimals) to get a ratio of 3 dimes for every 2 nickels she has, or 3:2