Answer:
A. ⇒ The expression is b + 3
B. ⇒ The expression is 2b - 4
C. ⇒ The Dr's office is closer by 4 miles
Step-by-step explanation:
A.
∵ The distance between Daniel's house and his school is b miles
∵ The swimming pool is 3 miles farther from his school
∴ The distance between Daniel's house and the swimming pool is b + 3
B.
∵ The distance from Daniel's house to his Dr's office is 4 less than twice the distance from home to Daniel's school
∵ The distance between Daniel's house and his school is b
∴ The expression of distance from Daniel's house to his Dr's office is
2b - 4
C.
∵ b = 3
∴ The distance between his house and swimming pool is:
3 + 3 = 6 miles
∴ The distance between his house and Dr's office is:
2(3) - 4 = 2 miles
∴ The Dr's office is closer to Daniel's house than the swimming pool by:
6 - 2 = 4 miles
Answer:
4:12
6:18
8:24
Two ratios that have the same value are called equivalent ratios. To find an equivalent ratio, multiply or divide both quantities by the same number.
Answer:
D) {11,-4,-29}
Step-by-step explanation:
rewrite the equation as y= -5x+1 and plug in -2,1 and 6 to get y
-5*-2+1=11
-5*1+1=-4
-5*6+1=-29
Divide 4 1/2 = 4.5 by 4 you would get 4.125. 4.125 cups of flour are needed to make one fruitcake.
Answer:
The family of possible values for 
are:
Step-by-step explanation:
By Linear Algebra, we can calculate the angle by definition of dot product:
(1)
Where:
- Angle between vectors, in sexagesimal degrees.
- Norms of vectors 
and 
If is acute, then the cosine function is bounded between 0 a 1 and if we know that 
and 
, then the possible values for are:
Minimum (
)
Maximum (
)
With the help of a graphing tool we get the family of possible values for are:
