The expression will be 589/15
Answer:
m∠A = 59°
Step-by-step explanation:
Supplementary angles mean that, when the two are combined, their total measurement will equal 180°.
It is given that one of the angles is 121°. Subtract 121 from 180:
180 - 121 = 59
m∠A = 59°
~
Answer:
The speeds of the cars is: 0.625 miles/minute
Step-by-step explanation:
We use systems of equations in two variables to solve this problem.
Recall that the definition of speed (v) is the quotient of the distance traveled divided the time it took :
. Notice as well that the speed of both cars is the same, but their times are different because they covered different distances. So if we find the distances they covered, we can easily find what their speed was.
Writing the velocity equation for car A (which reached its destination in 24 minutes) is:

Now we write a similar equation for car B which travels 5 miles further than car A and does it in 32 minutes:

Now we solve for
in this last equation and make the substitution in the equation for car A:

So this is the speed of both cars: 0.625 miles/minute
Answer:
1 : 3000
Step-by-step explanation:
Given that:
Scale measurement as following:
4 centimeters are equal to 120 meters.
To find:
The scale factor = ?
Solution:
First of all, let us learn about the definition of scale factor.
Scale factor means 1 unit on scale is equal to what length of actual measurement.
We are given that 4 cm on scale is equal to 120 meters of actual length.
We need to find nothing but how much 1 cm of scale is equal to actual length.
4 cm of scale = 120 meters or 12000 cm of actual length
Dividing by 4 on both sides, we get:
= 1 cm of scale =
= 3000 cm of actual length
Therefore, the scale factor is <em>1 : 3000</em>
Answer:
75 roasted turkeys.
Step-by-step explanation:
Ally's Eats had 75 roasted turkeys.
Bob's Goods had 4/5 as many roasted turkeys as Ally's Eats, hence, the number of roasted turkeys Bob's Goods had is:
4/5 * 75 = 60 roasted turkeys
Ally's Eats had 5/6 as many roasted turkeys as Charlotte's Market. In other words, Charlotte's market had 6/5 as many roasted turkeys as Ally's Eats:
6/5 * 75 = 90 roasted turkeys.
The average is given as the sum of all toasted turkeys in the three shops divided by 3. Hence:
A = (75 + 60 + 90) / 3
A = 225 / 3 = 75 roasted turkeys
The average number of roasted turkeys in the three shops is 75.