9514 1404 393
Answer:
Step-by-step explanation:
Let d represent the number of dimes Molly has. Then she has 18-d nickels, and the total value (in cents) of her coins is ...
5(18 -d) +10d = 105
5d +90 = 105 . . . . . . simplify
5d = 15 . . . . . . . . . . . subtract 90
d = 3 . . . . . . . . divide by 5; number of dimes
18-d = 15 . . . . . number of nickels
Molly has 3 dimes and 15 nickels.
Answer:
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Step-by-step explanation:
We will convert the values into decimals for simplicity.
Arranging from least to greatest:
Answer:
2.6
Step-by-step explanation:
The Mean Absolute Deviation (MAD) is the average amount that each point is from the overall average of the data set.
So, first find the overall average (also called the mean):
avg = (1 + 1 + 2 + 3 + 5 + 7 + 9) / 7
= 28 / 7
= 4
The average (mean) is 4, so now you calculate how far each point is from 4 and average those numbers:
Note: Remember to use absolute values, since distance can't be negative.
4 - 1 = 3
4 - 1 = 3
4 - 2 = 2
4 - 3 = 1
4 - 5 = |-1| = 1
4 - 7 = |-3| = 3
4 - 9 = |-5| = 5
And finally, average (or find the mean) the new data set:
avg = (1 + 1 + 2 + 3 + 3 + 3 + 5) / 7
so 18 / 7 is the MAD of the data set.
Finally, round it to the nearest tenth:
18 ÷ 7 = 2.57142857143 ≈ 2.6
Well they are similar by ASA
30/25=1.2
20*1.2=24
24=4x-4
28=4x
7=x
Answer:
120°
Step-by-step explanation:
I drew a picture that will make it easier to understand what's going on. Please see the attached image
In a rhombus, the diagonals bisect the opposite angles, and opposite angles are congruent.
Let's say angle 1 is x. The interior angles of a quadrilateral add up to 360°, so
30+30+30+30+2x=360
2x=240
x=120
angle 1 is 120°.
