The constant of proportionality is thus
45; the unit rate is
45 miles per hour.
The relationship between the time t (in hours) and the distance d (in miles) is thus
Answer:
C. In a meeting room for a business event, there are 4 fewer chairs laid out in each row than the number of rows. The total number of chairs in the room is 60.
Step-by-step explanation:
To find the total number of chars, we multiply the number of rows by the number of chairs in each row.
Let the number of rows be x. There are 4 fewer chairs in each row than the number of rows; this gives us (x-4). Together, this gives us
x(x-4).
We know there are 60 chairs; this gives us
x(x-4) = 60
Using the distributive property,
x(x)-4(x) = 60
x²-4x = 60
15:20
divide each by 5
3:4
to find the ratio of the area's we square the ratio's of the sides
3^3 : 4^2
9:16
Choice B
Every positive number has two square roots - a positive and a negative (unless the value is 0).
The length of something can only be a positive number and since there is only one positive square root, there is only one answer.
Answer:
By using the rule that the interior angles of any triangle equal 180 we see that:
m<ABC+m<CAB+m<ACB=180°
Therefore,
(2x+15)+(x+10)+(3x+5) = 180°
Now we have an equation and can solve for x:
Combine like terms:
(2x+15)+(x+10)+(3x+5) = 180°
6x+30=180°
6x+30-30=180-30
6x=150
x=25
To check our work just plug in 25 for x in each equation and the sum of those answers should add up to 180:
2x+15
2(25)+15
65
x+10
25+10
35
3x+5
3(25)+5
75+5
80
65+35+80=180
x=25 is valid
Step-by-step explanation:
