1). x/5 = 4/5 Whats is the x? 2). The ratio of mammals to birds at the zoo is 96 to 84. Choose ALL ratios that are equivalent: (32 to 28) (42 to 48) (24 to 21) (2 to 3).
3). The ratio of cars to trucks in the parking lot is 4 to 7. If there are 56 trucks in the lot, how many cars are there?
4). Three vehicles recorded the following information about their trips. Van: 500 miles in 7.5 hours Find the unit rate of miles/hour for the Van. 5). Three vehicles recorded the following information about their trips. Van: 500 miles in 7.5 hours Truck: 300 miles in 5 hours Car: 400 miles in 5.5 hours How far would the truck go in 8 hours?
6). Three vehicles recorded the following information about their trips. Van: 500 miles in 7.5 hours, Truck: 300 miles in 5 hours, Car: 400 miles in 5.5 hours. How many hours would it take the car to travel 900 miles?
7). A carousel spins at a rate of 2 miles in 7 minutes. What is the speed in miles per minute?
8). A carousel spins at a rate of 2 miles in 7 minutes. What is the speed in miles per hour?
9). A carousel spins at a rate of 2 miles in 7 minutes. How far would a passenger on the carousel travel in 25 minutes?

your answer is 228

step-by-step explanation:

add the top and bottom bases together, then divide them by 2, then multiply by the height.

a.   we have two

lines:   y = 4-x   and  

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b.   4-x = 8-x^-1

  x           4-x       8-x^-1

-3           7        

8.33

-2           6         8.5

-1           5         9

  0           4        

-

  1           3        

7

  2           2        

7.5

  3           1         7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:  

x=-4.236

y = 4-x   = 4 – (-4.236)

= 8.236

y = 8-x^-1 =   .236)^-1

= 8.236

x=0.236

  y = 4-x   = 4 – (0.236) = 3.764

y = 8-x^-1 =   8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c.   to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x   and   y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines.   the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!

solve systems of equations by graphing. a system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. the solution of such a system is the ordered pair that is a solution to both equations. to solve a system of linear equations graphically we graph both equations in the same coordinate system