An employee earns $14 per hour and a trainer charges $20 for every 30 minutes of training plus a $5 tip are a constant rate per unit interval. Therefore, options A and E are the correct answers.
Given that:
an employee earns $14 per hour.
constant rate of change :
When something has a constant rate of change, one quantity changes in relation to the other. For example, for every half hour the pigeon flies, he can cover a distance of 25 miles. We can write this constant rate as a ratio. For ratios, it's always a good idea to state both units in whole terms.
A). Let the number of hours be x and the total money earned be y
So, y = 14x
B). Let the money earn by an employee each year be a and total earning in a year be b.
So, b=a+3% of a
⇒ b = a + 0.03a
⇒ b = 1.03a
C) Let the number of months be m and the total charge be t
So, t=50+30m
D) Let cost of gym equipment be p, rate of change =8% and time period = 6 months
So,
E) Let the number of hour be x.
Here, 30 minutes = 1/2 hours
Total charge = 20 + 5x/2
An employee earns $14 per hour and a trainer charges $20 for every 30 minutes of training plus a $5 tip are a constant rate per unit interval. Therefore, options A and E are the correct answers.
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Full question :
For which situation does one quantity change at a constant rate per unit interval relative to another quantity? responses.
Select all that apply
A. An employee earns $14 per hour.
B. An employee earns a 3% raise each year.
C. A gym charges a $50 down payment plus $30 per month.
D. A piece of gym equipment decreases 8% in value every 6 months.
E. A trainer charges $20 for every 30 minutes of training plus a $5 tip.
Which inequalities have 4 as a solution? 1. X-85.2 <_ 14.6 4. 8x <_ 128 2. X/6> -23 5. X+4.7>21.6 3. X-43<37 Put the numbers together to form the code.
Given:
The inequalities are:
1. [tex]x-85.2\leq 14.6[/tex]
2. [tex]\dfrac{x}{6}>-23[/tex]
3. [tex]x-43<37[/tex]
4. [tex]8x\leq 128[/tex]
5. [tex]x+4.7>21.6[/tex]
To find:
The inequalities that have 4 as a solution.
Solution:
We need to put [tex]x=4[/tex] in each inequality, to check whether it is a solution or not.
1. The inequality is
[tex]x-85.2\leq 14.6[/tex]
Putting [tex]x=4[/tex], we get
[tex]4-85.2\leq 14.6[/tex]
[tex]-81.2\leq 14.6[/tex]
This statement is true. So, the inequality [tex]x-85.2\leq 14.6[/tex] has 4 as a solution.
2. The inequality is
[tex]\dfrac{x}{6}>-23[/tex]
Putting [tex]x=4[/tex], we get
[tex]\dfrac{4}{6}>-23[/tex]
[tex]0.67\leq -23[/tex]
This statement is true. So, the inequality [tex]\dfrac{x}{6}>-23[/tex] has 4 as a solution.
3. The inequality is
[tex]x-43<37[/tex]
Putting [tex]x=4[/tex], we get
[tex]4-43<37[/tex]
[tex]-39<37[/tex]
This statement is true. So, the inequality [tex]x-43<37[/tex] has 4 as a solution.
4. The inequality is
[tex]8x\leq 128[/tex]
Putting [tex]x=4[/tex], we get
[tex]8(4)\leq 128[/tex]
[tex]32\leq 128[/tex]
This statement is true. So, the inequality [tex]8x\leq 128[/tex] has 4 as a solution.
5. The inequality is
[tex]x+4.7>21.6[/tex]
Putting [tex]x=4[/tex], we get
[tex]4+4.7>21.6[/tex]
[tex]8.7>21.6[/tex]
This statement is false. So,4 is not a solution of the inequality [tex]x+4.7>21.6[/tex].
PLS HELP I AM TIMED I WILL MARK BRAINLIEST///A rectangular prism has dimensions 2 feet by 3 feet by h feet.
Which of the following expressions represents the surface area, in square feet, of the
prism?
a. 5h + 6
b. 5h + 12
c. 10h + 6
d. 10h + 12
Answer:
5h+6
Step-by-step explanation:
I was litterly just doing this trust me im right lol
Answer:
D. 10h+12
Step-by-step explanation:
You have to multiply to find the area of each rectangle. There are 3 pairs of rectangles that are identical to one another.
2*h = 2h * 2 = 4h
3*h = 3h *2 = 6h
2*3 = 6 *2 = 12
10h+12
PLEASE HELP 8THGRADE MATHH!!
Answer:
10
Step-by-step explanation:
Answer:
table 3 (c)
Step-by-step explanation:
Determine whether -6 is a solution of the inequality.
x = 6
Yes
No
Answer:
no
Step-by-step explanation:
x must be 6
What would be different if you started your day with a feeling of being in control?
Answer:
I would feel like I have a lot of power and I would use that to try to help people.
What is the value of x, given that
RS||XY
Answer:
The answer would be X= 8 .
Step-by-step explanation:
Hope it was helpful .
Good luck ^^
The required measure of x in the triangle QRS is given as x = 8.
What are Similar triangles?Similar triangles are triangles that have the same shape but possibly different sizes. More formally, two triangles are similar if their corresponding angles are congruent (equal in measure), and their corresponding sides are in proportion (have the same ratio).
Here,
Since Triangle QRS is similar to triangle QXY.
The property of similar triangle states that the sides of both the triangle will be proportional to each other.
So,
QR/QX = QS/QY
Substitute the value in the above expression,
6/18 = x/ [x + 16]
Simplifying the above expression,
x + 16 = 3x
x = 8
Thus, the required measure of x in the triangle QRS is given as x = 8.
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In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=41°, and SQ = 94 feet. Find the length of QR to the nearest tenth of a foot.
Answer:
124.6
Step-by-step explanation:
maths
7.24 + 5.3 = 3m
what is the true answer ?
Answer:
7.24 + 5.3 = 3m
=> 3m = 12.54
=> m = 12.54/3
=> m = 4.18
Answer = 4.18A poster is 3 feet long and 30 inches wide. What is the area, in feet, of the painting?
Answer:
90 feet
Step-by-step explanation:
30x3=90
Answer:
7.5 feet
Step-by-step explanation:
Convert inches to feet
30 inches as feet would be 2.5 feet
Multiply
3×2.5=7.5
Maya goes bowling with her friends. She has a total of $25 to spend. If shoes cost $4 to
rent and each games costs $3.50, how many games can she play?
Answer:
She can play 7 games
Step-by-step explanation:
Substrate 4 from 25
plz someone tell me what 7x2 is
Answer:
14
Step-by-step explanation:
Can someone please help with this?
Answer:
Distance over Speed (Option 2)
Step-by-step explanation:
Clculating how long it takes to travel from one place to another requires the formula T= d/s
Does anyone know where I can get the cheapest posca markers?
Answer: You can get on the Amazon,Walmart, Michaels,Target,Office Depot
Think so if on Home depot
HOPE YOU GET YOR THINGS YOU ARE TRYING TO FIND
Match the situation with the equation which best fits.
Andre's school has 20 clubs, which is five times as many as his cousin's school. His cousin's school has x clubs.
A. 20x = 5
B. 5x = 20
C. x = 20 + 5
D. x + 20 = 5
Answer:
answer is
Step-by-step explanation:
answer no B
mark me
What is the value of the flowers?
Answer:
24
Step-by-step explanation:
6*6=36
6+10=16
2*10=20
Flower=10-6+20=24
Translate the sentence into an equation.
Twice the difference of a number and 8 equals 3.
Use the variable c for the unknown number.
Answer:
this equation would be 2(c-8)=3
9. Find the relative frequency of students with July birthdays given the following table:
Birth Month. Number of Students
August. 2
September. 1
October. 2
November. 5
December. 3
January. 1
February. 2
March. 2
April. 1
May. 0
june. 4
July. 2
Answer:
2,5,3,2,1,0,4,this is the number of students
Rhianna took a total of 10 pages of notes during 2 hours of class. In all, how many hours will Rhianna have to spend in class before she will have a total of 15 pages of notes in her notebook? Assume the relationship is directly proportional.
Answer:
Step-by-step explanation:
if 10 pgs = 120 mins
then 15 pgs = 15 × 120÷10
=1800÷10
= 180 mins
if 60 min = 1 hr
then 180 min = 180×1÷60
= 3 hrs
thus it will take her 3hours
Help me with number two please
please help, ty if you do :D
Answer:
Your Answer is going to be C
Solve the equation 506x - 92y + 90 = 498 - 4x + 6y
506 x - 92 y + 90 = 498 - 4 x + 6 y
Geometric figure:
line
y = (255 x)/49 - 204/49
510 x - 98 y - 408 = 0
506 x - 92 y + 90 = 6 (y + 83) - 4 x
Real solution:
y = (255 x)/49 - 204/49
Solution:
y = (255 x)/49 - 204/49
Integer solution:
x = 49 n + 40, y = 255 n + 204, n element Z
Solution for the variable y:
y = 51/49 (5 x - 4)
Answer:
Hi! The answer to your question is [tex]x =\frac{49y}{255} +\frac{4}{5}[/tex]
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
i need help please!
what fraction divided by 3 over 4 equals 1 over 6
Answer:
1/8
Step-by-step explanation:
1/8 ÷ 3/4
1/8 × 4/3
1/2 × 1/3 = 1/6
Please help! Simple math! Will give brainliest! Write an equation where a number is added to a variable, and a solution is -8. Thank you!
Answer:
x+4=-8
Step-by-step explanation:
The variable x in this case would be -12.
Answer:
If your asking what I think you are then here is one.
a=2
-10+a=-8
Step-by-step explanation:
what is |12.8| equal I am so confused
Answer:
|12.8| has a magnitude of 12.8
If that's not what you are asking, here's another possible answer:
12.8=12 4/5
12.8= 1280%
Step-by-step explanation:
Hope this helps!
Solve.
Pls Need Help
Answer:
3/8
Step-by-step explanation:
Since the greatest is 3 1/2 and the least it 3 1/8
3 1/2 - 3 1/8 = 3/8
which value in the set (2,3,48,96) is a solution of the equation 24+x=72
Answer:
48
Step-by-step explanation:
24+x=72
Isolate x
24+x=72
-24 -24
x=48
Line d has a slope of -8/3. Line e is perpendicular to d. What is the slope of line e?
Answer:
slope of line e=3/8
Step-by-step explanation:
we are given that line d's slope is -8/3, and we want to find the slope of line e, which is perpendicular to d
perpendicular lines have slopes that are negative and reciprocal; if you multiply the lines together, the result is -1
therefore, to find the slope of line e (m is the slope):
-8/3m=-1
multiply by -3/8
m=3/8
so that means the slope of line e is 3/8
Hope this helps!
x + y = 8
2x2 – y = –5
Answer:
x=-2,y=10
Step-by-step explanation:
y=8-x.............equation 1
4-y=-5..........equation 2
Now,
putting the value of y in equation 2,
4-(8-x)=-5
4-8+x=-5
-3+x=-5
x=-5+3
x=-2
Then,
putting the value of x in equation 1
y=8+2
y=10
Can someone help me with this please
Answer:
-19, -8, 0, 1/2, 1/4
12, 1 1/2, 5, -12, -19
Step-by-step explanation:
Answer:
1) So sorry but I dont know this one.
2) -19, -8, 0, 1/4, 1/2
3) 12, 5, 3/2, -12, -19
Step-by-step explanation:
The seat of a bench is the shape of a Trapezoid with bases of 8 feet and 7 feet and a height on 3.5 feet whats the are of the seat
Answer:
26.25 square feet
Step-by-step explanation:
Calculation to determine the area of the seat
Using this formula
Area=1/2*(b1+b2)*h
Where,
b1=8 feet
b2=7 feet
h=3.5 feet
Let plug in the formula
Area=1/2*(8+7)*3.5
Area=1/2*15*3.5
Area=26.25
Therefore the area of the seat is 26.25 square feet