Answer:
Step-by-step explanation:
145.90
To divide 36/9 using the number line you have to jump from zero with length of 9 until reach 36, and the result will be the number of jumps.
I do the jumps by steps, but you can draw in the number line:
0. First jump from 0 to 9.
,
1. Second jump from 9 to 9+9=18.
,
2. Third jump from 18 to 18+9=27.
,
3. Fourth jump from 27 to 27+9=36.
,
4. Great!! We already reach 36.
So, we need four jumps of 9 to reach 36 from 0.
So, the result is 36/9=4
Answer:
B Survey a random sample of eighth-grade students
Step-by-step explanation:
In order to reach the best conclusion without biased data, the best sampling method would be B because not only does it survey 8th graders, but it also surveys a random group, ensuring that not all of the students are potentially excelling in and/or having trouble with homework.
Answer:Yolanda served 13 orders.
Ahmad served 19 orders.
Hong served 38 orders.
Step-by-step explanation:
Let x represent the number of orders that Ahmad served.
Yolanda served 6 fewer orders than Ahmad. This means that the number of orders that Yolanda served is x - 6
Hong served 2 times as
many orders as Ahmad. This means that the number of orders that Hong served is 2x
Yolanda, Hong, and Ahmad served a total of 70 orders Monday at the school cafeteria. This means that
x - 6 + x + 2x = 70
4x - 6 = 70
4x = 70 + 6 = 76
x = 76/4 = 19
Hong served 2 × 19 = 38
Yolanda served 19 - 6 = 13
Answer:
Part 1) The draw in the attached figure
Part 2) 
Step-by-step explanation:
Part 1) Draw the described circle
The draw in the attached figure
Part 2) What is the measure of angle ABD
step 1
Find the measure of arc AD
Remember that
----> by complete circle
substitute the given values


step 2
Find the measure of angle ABD
we know that
The measurement of the external angle is the half-difference of the arches that comprise
In this problem
The measure of angle ABD is an external angle
so
![m\angle ABD=\frac{1}{2} [arc\ AD-arc\ AC]](https://tex.z-dn.net/?f=m%5Cangle%20ABD%3D%5Cfrac%7B1%7D%7B2%7D%20%5Barc%5C%20AD-arc%5C%20AC%5D)
substitute the given values
![m\angle ABD=\frac{1}{2} [168^o-68^o]=50^o](https://tex.z-dn.net/?f=m%5Cangle%20ABD%3D%5Cfrac%7B1%7D%7B2%7D%20%5B168%5Eo-68%5Eo%5D%3D50%5Eo)