Answer:
The distance between the ice cream shop and Joe's house is the same as the distance between the ice cream shop and the park. So Joe is not closer to the park or his house, he is in the middle.
Step-by-step explanation:
We consider that the ice cream shop is the zero value in the number line. We assume that going north is positive (right side of the number line) and going south is negative (left side of the number line).
The house position is 10 block north of the ice cream shop, so it is represented by the integer 10.
The park is 10 blocks south of the ice cream shop, so it is represented by the integer -10.
The lower absolute value of the integer, the closer position from the ice cream shop.
If we calculate the absollute value of the House position:
|10|=10
Then, we calculate the the absollute value of the Parkposition
|-10|=10
In conclusion, the distance between the ice cream shop and Joe's house is the same as the distance between the ice cream shop and the park. Joe is in the middle.
Answer:
D
Step-by-step explanation:
Firstly,
≤ or ≥ means closed circle, and
< or > means open circle
Now, let's solve the compound inequality:
x - 1 ≤ 7
x ≤ 8
and
2x ≥ 22
x ≥ 11
This solution means "everything left of 8 (inclusive and closed circle)" and "everything right of 11 (inclusive and closed circle)"
Looking at the choices, D is right.
Answer:
The positions can be filled in 150 ways.
Step-by-step explanation:
The order in which the people are chosen is not important. For example, A, B, C, D is the same outcome as B, A, C, D. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In how many ways can the positions be filled if 2 women and 2 men are hired?
2 women from a set of 6.
2 men from a set of 5.
So
The positions can be filled in 150 ways.
Answer:
4. .88
5. 17/9
6. 67/12
7. 47/56
8. 209/45 or 4 29/45, 4.64
9. 143/30
Step-by-step explanation:
Mapping T'U'V'W' onto TUVW is just the backwards translations of TUVW to T'U'V'W'.
The translation (x + 3, y - 3) moves all x-coordinates 3 units to the right and all y-coordinates 3 units down.
So if we want to move the figure back to its original position, we do the opposite: move all x-coordinates 3 units to the <em>left</em> and y-coordinates 3 units <em>up</em>.
This is expressed as (x - 3, y + 3).
