Answer:
102
Step-by-step explanation:
These angles are congruent due to corresponding angles thm
3x + 21 = 6x - 60
3x - 6x = -60 - 21
-3x = -81
x = 27
3x + 21
3(27) + 21
81 + 21
102
Answer:
![1524\frac{4}{41} = s](https://tex.z-dn.net/?f=1524%5Cfrac%7B4%7D%7B41%7D%20%3D%20s)
Step-by-step explanation:
15622 = 10,25s
_____ _____
10,25 10,25
![1524\frac{4}{41} = s](https://tex.z-dn.net/?f=1524%5Cfrac%7B4%7D%7B41%7D%20%3D%20s)
The second shipment weighs
pounds.
I am joyous to assist you anytime.
Answer:
Our actual answer is 1/18 greater than our estimate
1/2 < 5/9
Step-by-step explanation:
5/8 is close to 1/2
8/9 is close to 1
1/2 * 1 = 1/2
Our estimate is 1/2
Actual answer
5/8 *8/9
Rewriting
5/9 * 8/8
5/9
How close
5/9 - 1/2
Getting a common denominator
5/9*2/2 - 1/8 *9/9
10/18 - 9/18
1/18
Our actual answer is 1/18 greater than our estimate
The answer is:
Jim can buy lunch for 21 days and then he will have to get more lunch money.
The actual number is 21.23722628... so just round.
Answer:
![\dfrac{1}{8}\ gallons](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B8%7D%5C%20gallons)
Step-by-step explanation:
Amount of kool - aid that the pitcher can hold =
gallons
There are 6 smaller containers in which this kool - aid is to be adjusted.
Also, the volume of the smaller containers is equal to each other i.e. the containers are identical to each other in terms of volume.
To find:
The amount of kool - aid that each container can hold?
Solution:
Volume of all the smaller containers combined = Volume of the kool - aid available
Let the volume of one smaller container = ![V](https://tex.z-dn.net/?f=V)
![V + V + V + V + V + V = \dfrac{3}{4}\ gallons](https://tex.z-dn.net/?f=V%20%2B%20V%20%2B%20V%20%2B%20V%20%2B%20V%20%2B%20V%20%3D%20%5Cdfrac%7B3%7D%7B4%7D%5C%20gallons)
![\Rightarrow 6V = \dfrac{3}{4}\ gallons\\\Rightarrow V = \dfrac{3}{4\times 6 }\ gallons\\\Rightarrow V=\bold{\dfrac{1}{8}\ gallons}](https://tex.z-dn.net/?f=%5CRightarrow%206V%20%3D%20%5Cdfrac%7B3%7D%7B4%7D%5C%20gallons%5C%5C%5CRightarrow%20V%20%3D%20%5Cdfrac%7B3%7D%7B4%5Ctimes%206%20%7D%5C%20gallons%5C%5C%5CRightarrow%20V%3D%5Cbold%7B%5Cdfrac%7B1%7D%7B8%7D%5C%20gallons%7D)
of kool - aid is the amount that each smaller can hold.