An airline company does not charge an extra fee if the weight of a passenger's luggage is less than 55 pounds.
Part A
On the number line, represent the values when the airline company does not charge an extra fee.
Part B
Create an inequality that represents this situation. Let p represent the weight of a passenger's luggage
Answers
Answer:
Let's solve first the part B.
We know that the company does not charge an extra fee is the luggage is less than 55 pounds.
Then if p represents the weight of the passenger's luggage, we need to have:
p is smaller than 55 lb
We also can write this as:
p < 55lb
where the symbol "<"
means that the left side is strictly smaller than the right side.
If we want to be more precise in the notation, we also should have a lower limit.
0lb < p < 55lb
Where the lower limit is because the weight of the luggage can not be zero or smaller than zero.
This is the inequality we wanted.
Now, how we represent this on a number line?
when we have:
x > a
We represent this with a open circle at x = a (this means that x = a is not a solution) and we draw an arrow to the right of a.
and for:
x < a
we represent this with an open circle at a, and we draw an arrow to the left of a.
And if we have:
a < x < b
we draw an open circle at x = a and another at x = b, and all the points between these circles will be solutions.
You can see the graph of the inequality below.
Part A)
(where the point of the arrow should not be there, and both circles should be white)
Related Questions
One end of a ramp is raised to the back of a truck 5 feet above the ground. 1 point
If the length of the ramp is 8 feet, what is the approximate measure of the
angle the ramp makes with the ground? Round your answer to the nearest
tenth of a degree.
38.7°
58.0°
32.0
51.3
Answers
Answer:
38.7°
Step-by-step explanation:
You are basically looking at a triangle with a 90° angle (check picture).
Since we are looking for the ramp's angle and are given the length of the opposite and the hypothenuse, we have to solve the following equation:
[tex]sin (\alpha) = opposite / hypothenuse= 5 ft/8ft[/tex]
which is equivalent to
[tex]\alpha = sin^{-1}(5/8)\approx 38.7\deg[/tex]
I wrote my last question wrong. What's 4w^2 if the w = 3?
Answers
Answer:
144
Step-by-step explanation:
1. Rewrite question since you know the variable. Rewritten it would be 4×3^2
2. Do multiplication. 4 times 3 is 12
3. Square 12 which means 12 times 12
4. 12 times 12 is 144.
Hopefully it's right!
Find the average rate of change
Answers
Answer: The answer to this question would be -6.
I hope this helped!
Answer:
-6
Step-by-step explanation:
g(-3) - g(0) / -3-0
= [2(-3²) + 10] - (0 + 10) ÷ -3
= (28 - 10) / -3
= -18/3
= -6
Please please give answer
Answers
Answer:
Then the total area is 116 cm^2 which agrees with answer D
Step-by-step explanation:
Notice we need to calculate the area of two rectangles (one larger at the bottom and a smaller one on top)
The Area of a rectangle is the product: base x height
In our case :
Area of Big rectangle = 12 cm x 7 cm = 84 cm^2
Area of smaller rectangle = 8 cm x 4 cm = 32 cm^2
Then the total area is: 84 cm^2 + 32 cm^2 = 116 cm^2
Write an equation in slope intercept form for the line that passes through (0,4) and is parallel to y=3x-7
Answers
explanation
4=3(0)+b
4=3+b
b=1
Jordan is making a paddleball court. The court consists of a wall outlined by 40 m of paint. What dimensions
will maximize the area of the paddleball court?
Length
Width
L
а length - 20 m, width - 20 m
b. length - 13.33 m, width = 1334 m
C length - 10 m, width - 10 m
d. length - 10 m, width 20 m
Answers
Answer:
ffhhfhhfhhfhfhfhfhhfhhfhfhfhfhfhfhfhfhfhhfhfhfhfh
Answer:
lnfadvogbfvuvgayuvgalof
Step-by-step explanation:
asdbujvygadsoufyudgasoufgaedoyNeed number 11 and 10 all parts
Answers
First to answer gets brainliest
Answers
URGENT PLEASE ANSWER QUICKLY!!!!!!!! (WILL MARK BRAINLYIST)
Stacey delivers newspapers. She earns $15 each week plus $2.00 for each customer on her route.
Determine how much money she earns after delivering to 10, 20, 30 and 40 customers using the function f(x) = 2x + 15
x f(x)
Answers
Answer:
for 10 people she makes 35$
for 20 people she makes 55$
for 30 people she makes 75$
and for 40 people she makes 95$
Step-by-step explanation:
just plug the number of people (10, 20, 30, 40) into the x in the equation.
math help ohh yup #5 in the middle
Answers
Answer:
m<7 = 49°
m<8 = 41°
m<9 = 49°
m<10 = 41°
Step-by-step explanation:
Given :
m<7 ≅ m<9
m<8 = 41°
m<7 = 90° - m<8 (complementary angles)
m<7 = 90° - 41° (substitution)
m<7 = 49°
m<9 = m<7 (m<7 ≅ m<9)
m<9 = 49° (substitution)
m<10 = 90 - m<9
m<10 = 90 - 49
m<10 = 41°
On one day, 4 chefs and 5 helpers earned $650.
On another day working the same number of hours
at the same rate of pay, 5 chefs and 6 helpers
earned $800.
How much does a chef earn each
day?
Answers
5c + 6h = 800 where c are chefs, h are helpers
Start by finding an expression for c
4c + 5h = 650
4c = 650 -5h
c = (650- 5h)/4
Then substitute that into the second equation and solve for a number value for h
5 (650-5h)/4 + 6h = 800
(3250-25h)/4 + 6h = 800
Multiply both sides by 4
3250-25h + 24h = 3200
-h = -50
h = 50
Take that 50 and substitute it into the expression we have for c to get a number value for c
C= 650-5(50)/4
C = 650-250/4
C = 400/4
C= 100
Check your first equations, substituting $50 for the helpers and $100 for the chefs.
4 (100) + 5(50) =
400 + 250 = 650
5(100) + 6(50) =
500 + 300 = 800
The cost of a skateboard c after a 15% discount can be represented by the expression c−0.15c . Simplify the expression.
Answers
Answer:
0.85c
Step-by-step explanation:
To simplify the expression, subtract like terms:
c - 0.15c
= 0.85c
So, the simplified expression is 0.85c
Anyone help please.
Correct answer
Giving brainliest
Answers
Answer:
The answer is true
Step-by-step explanation:
Think of it this way, when x and y are approaching positive infinity, infinity (lets say the initial coordinate value is (5,8), infinity will always be greater than 5
Hope that helps :)
Ten more than four times a number is equal to the difference between 73 and three times the number. Find the number.
Answers
Answer:
let x be the number then,
according to question ,
10+4x=73-3x
or, 4x+3x=73-10
or, 7x= 63
or, x= 63÷7
or,x=9 ans
hence , the number is 9
Your warehouse had 51 cases of Happy Cola at the start of your shift. A truck arrived this morning with another 25 cases of Happy Cola. How many cases of Happy Cola do you have now?
Answers
Answer:
76 cases
Step-by-step explanation:
original 51 plus the 21 new is equal to 76 total
what THE fRiCk is 3 3/4 as a fraction Bigger than 1
Answers
Answer:
I am pretty sure that it is.
Step-by-step explanation:
Isn't 3 bigger than 1
Well i hope this helps
Have a great day!!!!!!!
help I’ll give you brainliest
Answers
Answer:
155
Step-by-step explanation:
Sort them
155 is the median value
Hope this helped.
What is the y value of y=2x-3 and y=3x-7
Answers
Step-by-step explanation:
hope the above solution will help you
please help me ASAP thank you!!
Answers
Decide if the following is a true or false statement - explain how you know
(-3.2) + (-2.8) is positive
Answers
Answer:
false
Step-by-step explanation:
(-3.2) + (-2.8)
-3.2 - 2.8
= - 6
answer is negative so false
For what value does (1/9)^a+1=81^a+1 12^2-a?
Answers
Answer:
a = -4
Step-by-step explanation:
[tex] (\dfrac{1}{9})^{a + 1} = 81^{a + 1} \cdot 27^{2 - a} [/tex]
[tex] (3^{-2})^{a + 1} = (3^4)^{a + 1} \cdot (3^3)^{2 - a} [/tex]
[tex] 3^{-2a - 2} = 3^{4a + 4} \cdot 3^{6 - 3a} [/tex]
[tex] 3^{-2a - 2} = 3^{4a + 4 + 6 - 3a} [/tex]
[tex] 3^{-2a - 2} = 3^{a + 10} [/tex]
[tex] -2a - 2 = a + 10 [/tex]
[tex] -3a = 12 [/tex]
[tex] a = -4 [/tex]
Help asap please!! I will mark brainlest and give me the work
Answers
Answer:
16 square feet
Step-by-step explanation:
Base: 2 * 2 = 4
Side: 2 * 3 / 2 = 3
4 sides = 3 * 4 = 12
Base + sides = 12 + 4 = 16
20-20+3847x1,00,000,000=?
Say #relatable if this is you
Answers
Answer: 384,700,000,000
Step-by-step explanation:
Answer:
20-20+3847x1,00,000,000 =
348699999982
Step-by-step explanation:
lol not me
Marisol buys 3 notebooks that each cost the same amount and 1 calculator that costs $9. The total cost is $21. How much does each notebook cost?
Answers
Answer: 4 dollars for each notebook
Step-by-step explanation:
21-9= 12
12/3=4
each notebooks costs 4 dollars
Answer:
$4
Step-by-step explanation:
What is the value of y?
2y
Y+10
50°
Answers
Answer:
The question is incorrect. Please rewrite the question.
Please help marking brainliest if correct, serious answers only, thank you.
Answers
cuz they’re on the inside of the lines
and they’re not on the same side of the line that crosses
Evaluate
ifr=9 and s = 2.
S
Answers
Answer:
(4 × 9) / 2 = 36/2 = 18 gitu yaaa
Answer:
18
Step-by-step explanation:
plug in r and s
4(9)/2
36/2
18
The population of a city decreases by 4.6% per year. If this year's population is
329,000, what will next year's population be, to the nearest individual?
Answers
Answer:
Your answer
313866
Mark it as Brainlist answer. Follow me to get more answer
Step-by-step explanation:
Please help with this practice quiz!!
Answers
Answer:
slope is 9
Step-by-step explanation:
use the formula y=mx+b wherein m is the slope and b is the y-intercept
to solve for m, use formula (y2-y1)/(x2-x1):
[tex]\frac{127-1}{5-(-9)}[/tex] = [tex]\frac{126}{14}[/tex] (you add 5 and 9 together because negative + negative is positive)
126/14 = 9
Pls help dont answer if you don’t know i will give out brainliest please
Answers
Answer:
34.65
Step-by-step explanation:
495x0.07=34.65
