Queston:
Select all of the values that are solutions to the following inequality.
3(2a-1)> 10a - 11
Answer:
The answer is 2
What is the domain and range? Is the relation a function? Explain why or why not. {(2, 0), (5.0), (0.5), (0, 2)}
Answer:
Domain: {0, 2, 5}
Range: {0, 2, 5}
The relation is not a function since the 0 appears more than once as an x-coordinate.
Step-by-step explanation:
The domain is the set of the x-coordinates.
The range is the set of the y-coordinates.
If any value appears more than once as an x-coordinate, it is not a function.
Domain: {0, 2, 5}
Range: {0, 2, 5}
The relation is not a function since the 0 appears more than once as an x-coordinate.
Ned is riding his bike from his house to the park, both of which are on the same straight road. On his way, he stops at a store, which is 47 of the way to the park, and then bikes the remaining 0.6 mile to the park. What is the distance between Ned's home and the park?
Complete question :
Ned is riding his bike from his house to the park, both of which are on the same straight road. On his way, he stops at a store, which is 4/7 of the way to the park, and then bikes the remaining 0.6 mile to the park. What is the distance between Ned's home and the park?
Answer:
1.4 miles
Step-by-step explanation:
Given that :
Ned's home and park are on the same straight road :
Store where Ned stopped is 4/7 of the way to the park
Bikes the remaining 0.6 miles to the park
Hence after traveling 4/7 of the distance, distance to park is 0.6 miles
Hence, 1 - 4/7 = 3/7
Hence, 3/7 of the way = 0.6 miles
If 3/7 = 0.6 miles
Then, 1 = x
Cross multiply
3/7 x = 0.6
3x = 4.2
x = 4.2 / 3
x = 1.4 miles
The distance from Ned's home to park is 1.4 miles
The distance between Ned's home and the park is 1.4 miles.
Ned is riding his bike from his house to the park, both of which are on the same straight road.
At some point between the way to the park, he covered [tex]\dfrac{4}{7}[/tex] of total distance and the destiny is still remained by 0.6 mile.
The fraction of the distance yet to be covered is,
[tex]\begin{aligned}\rm{Remaining\;distance}&=1-\dfrac{4}{7}\\&=\dfrac{7-4}{7}\\&=\dfrac{3}{7} \end{aligned}[/tex]
Now, the remaining distance is given that is 0.6 mile.
Therefore,
[tex]\begin{aligned}\dfrac{3}{7} \times \rm{Total \;distance}&=0.6\\\rm{Total \;distance}&=1.4\;\rm{miles} \end{aligned}[/tex]
Thus, the distance between Ned's home and the park is 1.4 miles.
To know more about it, please refer to the link:
https://brainly.com/question/24379068
Adriana needs to send 232 invitations to her family and friends for her party. There are 12 invitations in a box. How many boxes will Adriana need to order so that everyone receives an invitation?
Answer:
19
Step-by-step explanation:
Adriana needs to send 232 invitations to her family and friends for her party.
There are 12 invitations in a box.
We need to find how many boxes will Adriana needs to order so that everyone receives an invitation. Let there are x boxes. It can be calculated as :
[tex]x=\dfrac{232}{12}\\\\x=19.34[/tex]
or
x = 19
So, she will need approx 19 boxes.
Find the quotient: (16x + 24x2) = 2x
Answer:
48x=2x
Step-by-step explanation:
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Please help! I think they domain is [-5,-1) u [1,5) but I’m not sure about the range.
PLEASE HELP. I need an answer by Nov 5
Fill in the missing reasons for the following two-column proof for the following information. Given: M is the midpoint of CD; CM = 3x – 10; MD = 6x – 22 Prove: x = 4
M is the midpoint of CD; CM = 3x – 10 ; MD = 6x - 22 1.?
CM=MD 2.?
3x – 10 = 6x – 22 3. substitution
-3x – 10 = -22 4. Subtraction Property of Equality
-3x = -12 5. ?
x=4 6. Division Property of Equality
Answer:
Step-by-step explanation:
1. M is the midpoint of CD; CM = 3x - 10; MD = 6x - 22; GIVEN
2. CM = MD Definition of Midpoint
3. 3x - 10 = 6x - 22 Substitution Property
4. -3x - 10 = - 22 Subtraction Prop of Equality
5. -3x =-12 Addition Prop of Equality
6. x = 4 Division Prop of Equality
The missing reasons in the two-column proof are:
1. Given
2. Definition of a midpoint
3. Addition property of equality
What is the Addition Property of Equality?To apply the addition property of equality, both sides of an equation is added with equal quantity to make it balanced.
In the two-column proof given, the missing reasons are:
1. Given (the information was stated already)
2. Definition of a midpoint (CM = MD)
3. Addition property of equality (10 was added to both sides of the equation).
Learn more about the addition property of equality on:
https://brainly.com/question/1542520
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