Answer:



Step-by-step explanation:
we know that
The speed is equal to divide the distance by the time
Let
x -----> the distance in miles
y ----> the time in hours

we have
The distance is equal to subtract 35 miles from 230 miles

The time is equal to subtract 1:30 pm from 4:30 pm

substitute in the formula of speed

<em>Isolate 3 hours</em>

<em>Isolate 195 miles</em>

Answer:
<em>Mean: 14</em>
<em>Median: 17</em>
<em>Mode: 18</em>
Step-by-step explanation:
The <em>mean</em> of a <em>set</em> of numbers is the <em>sum</em> divided by the number of <em>terms</em>.
Arrange the <em>data</em> in an ascending order and the <em>median</em> is the middle value. If the number of values is an <em>even number</em>, the <em>median</em> will be the <em>average</em> of the two middle numbers.
The <em>mode</em> is the <em>element</em> that occurs most in the <em>data set</em>. In this case, 18 occurs 4 times.
Circumference of 1 table:
C = πd = 140π = 439.82 cm
Each person needs 60 cm, so divide the circumference by 60 to find the number of people who can sit at each table.
439.82/60 = 7.33
So at most 7 people can sit at each table.
7*12 = 84 so the room can only hold 84 people.
You're right
Answer: Hi Hope This Helps :D
Step-by-step explanation:
We have to calculate the annual interest rate for the account. Formula for the simple interest is : I = P * r * t, where P is the investment, r is the annual interest rate and t is time in years. In this case: 1,800 = 10,000 * r * 4; 1,800 = 40,000 * r; r = 1,800 : 40,000; r = 0.045, or 4.5 %. Answer: The annual interest rate is 4.5 %
Answer:
x = 8
Step-by-step explanation:
The diagram shows two similar triangles. Similar triangles have all the same angles and the sides are proportional to one another. So, by setting up a proportion of the sides, you can solve for the missing variable:

Cross-multiply: 72(14x + 5) = 156(54)
Distribute: 1008x + 360 = 8424
Subtract 360 from both sides: 1008x + 360 - 360 = 8424 - 360
Divide: 1008x/1008 = 8064/1008
Solve for x: x = 8