The cost of a car rental is $30per day plus per mile. You are on a daily budget of $75. Write and solve an inequality to find the greatest distance you can drive each day while staying within your budget. Use pencil and paper. Find 2 other two-step inequalities with the same solutions.
Answer:
Step-by-step explanation:
Cost ≤ per day amount + daily mileage amount. * miles
75 ≥ 30 + daily mileage amount * miles
That's as far as I can take you. Two other equations are impossible without the daily mileage amount.
I can make one up. Suppose it is 75 cents a mile
75 ≥ 30 + 0.75 * x Subtract 30 from both sides
75 - 30 ≥ 0.75*x
40 ≥ 0.75*x Divide by 0.75
40/0.75 ≥ x
53.33 miles = x
Anything more and you are going over budget. Anything less is fine.
This is enough to get you started without knowing what the rate per mile is.
Maria made two batches of fruit punch. The table at the right shows how many quarts of juice she used for each batch. Write an equation that relates the proportional quantities. Convince Me! How does the equation change if the amount of grape juice is the independent variable, x, and the amount of apple juice is the dependent variable, y? A table with Apple Juice (x), Grape Juice (y) and Grape Juice/Apple Juice (y/x). The first row has x as 5 and y as 8. The second row has x as 10 and y as 16. In each row, the ratio of Grape Juice to Apple Juice is a blank to be filled. The constant of proportionality is . An equation that represents this proportional relationship is =
Answer/Step-by-step explanation:
The equation that relates the proportional quantities would take the following form ---› [tex] y = kx [/tex], where,
y = amount of Grape juice (dependent variable)
x = amount of Apple juice (independent variable)
k = constant of proportionality (y/x)
✔️Using any of the given pair, say, (5, 8),
Constant of proportionality = [tex] k = \frac{y}{x} = \frac{8}{5} = 1.6 [/tex]
Substitute k = 1.6 in [tex] y = kx [/tex].
An equation that represents the proportional relationship would be:
[tex] y = 1.6x [/tex]
Or
[tex] y = \frac{8}{5}x [/tex]
How the equation would change if:
y = amount of Apple juice (dependent variable)
x = amount of Grape juice (independent variable)
The constant of proportionality would change, that is using a pair, say, (8, 5),
[tex] k = \frac{y}{x} = \frac{5}{8} = 0.625 [/tex]
Substitute k = 0.625 in [tex] y = kx [/tex].
The equation would now be:
[tex] y = 0.625x [/tex].
Or
[tex] y = \frac{5}{8}x [/tex]
A bottling company uses a filling machine to fill plastic bottles with cola. The bottles are supposed are supposed to contain 300m. In fact, the contents vary according to a Normal Distribution with mean of 298 mL and a standard deviation of 3 mL. (a) What is the probability that an individual bottle contains less than 295 mL? Show your work. (b) What is the probability that the mean contents of six randomly chosen bottles is less than 295 mL? Show your work.
Answer:
0.15866 ; 0.0071627
Step-by-step explanation:
Given that:
Mean (m) = 298
Standard deviation (s) = 3
A.) P(x < 295)
Using the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (295 - 298) / 3 = - 1
p(Z < - 1) = 0.15866 ( Z probability calculator)
B.)
Z = (x - m) / s /sqrt(n)
Z = (295 - 298) / 3/sqrt(6) = −2.449489
p(Z < - 2.449) = 0.0071627 ( Z probability calculator)
Given values are:
Mean,
m = 298Standard deviation,
s = 3(a)
P(x < 295)
The standardized score will be:
→ [tex]Z = \frac{(x-m)}{s}[/tex]
By substituting the values, we get
[tex]= \frac{(295-298)}{3}[/tex]
[tex]= \frac{-3}{3}[/tex]
[tex]= -1[/tex]
Now,
By using the Z probability calculator, we get
→ [tex]p(Z< -1) = 0.15866[/tex]
(b)
The standardized score will be:
→ [tex]Z = \frac{x-m}{\frac{s}{\sqrt{n} } }[/tex]
By putting the values,
[tex]= \frac{295-298}{\frac{3}{\sqrt{6} } }[/tex]
[tex]= -2.449489[/tex]
Now,
→ [tex]p(Z < -2.449)= 0.007163[/tex]
Thus the responses above are correct.
Learn more about probability here:
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The number of tickets sold on Saturday for the school play was 175 percent of the ticket sales on Friday. If 400 tickets were sold on Friday, how many tickets were sold on Saturday?
Answer:
2000*1.75 makes 3500 tickets sold Saturday.
Step-by-step explanation:
2000*1.75 makes 3500 tickets sold Saturday.
Answer:
700 tickets sold on Saturday
Step-by-step explanation:
Find 175% of 400:
175 * 400 / 100 = 700
HELP!
Select the correct answer.
When graphed, the three lines y = -x + 2, y = 2x − 1, and y = x − 2 intersect in such a way that they form a triangle.
What are the coordinates of the three vertices of this triangle?
A.
(2, 0), (0, 2), and (-1, -3)
B.
(0, 2), (2, 0), and (1, -1)
C.
(1, 1), (2, 0), and (-1, -3)
D.
(1, 1), (0, 2), and (-1, -3)
E.
(2, 0), (1, -1), and (-1, -3)
Answer: B.
Step-by-step explanation: (0, 2), (2, 0), and (1, -1) are the correct coordinates of the three vertices of the triangle.
help!! offering lots of points and brainliest!
Answer:
It would be C
Step-by-step explanation:
So, shows in the graph, you can see that the change in rise is 100, because to get to 150 from 50, you add 100
And the run is 1, because to go from 0 to 1, you add 1
Meaning the slope is 100/1
Hope this helped!
numbers with a sum of 1
Answer:
0.5 + 0.5, 0 + 1, 0.6 + 0.4, etc etc
Step-by-step explanation:
What does the word variable mean in mathematics in your own words?
Searches related to As part of a promotion, a local ice cream store is giving away free ice cream cones to the first 20 customers After that, ice cream cones cost $3.00 Is the store's profit proportional to the number of customers? Explain.
Answer:
Yes, store's profit is proportional to number of customers
Step-by-step explanation:
Yes, the profit is proportional to the number of customers.
Profit = Revenue - Cost = (Price x Quantity) - Cost
Profit = (0 x 20) + (3 x q) - c(20+q) : Where q refers to quantity beyond 20, & c is average cost per unit
Profit = 3q - 20c - cq = (3 - c)q + 20c
As 20c is constant, component of equation has coefficient 'q' which stands for quantity of sales ie number of customers
A speeding automobile is traveling 55 miles/hour, and a highway trooper, 2 miles behind, is chasing it at a speed of 70 miles/hour. How long will it take the trooper to overtake the speeding car if they both maintain these speeds?
10 minutes of chasing is needed i think
If log 2 = x and log 3 = y, write each logarithm in terms of x and y.
a) log 18
b) log 9
Step-by-step explanation:
log18 = log2 + log3 + log3 = x + 2y.
log9 = log3 + log3 = 2y.
I need this done before 9:00
Answer:
The answer is B) because you make the two equations into fractions and put them equal to each other and solve.
Step-by-step explanation:
*show all work for full credit
1. 6x=25
Answer and Step-by-step explanation:
All we have to do is solve for x.
Divide both sides by 6.
x = [tex]\frac{25}{6}[/tex]
This is your answer.
If you want to have the decimal version, then it would be 4.166 repeating.
#teamtrees #WAP (Water And Plant) #SPEW (Society for the Promotion of Elfish Welfare)
a statue casts a 40 foot shadow. Mrs. Swift, who is 5 feet 6 inches tall, casts a 4 foot shadow. how tall is the statue?
Answer:
56 foot
Step-by-step explanation:
5.6inches =4foot
what about 40foot
=40foot *5.6/4foot
= 56 foot
Answer:
shajjababhnamajnahahshssb
What is the area of this parallelogram?
Answer:
A= 28
Step-by-step explanation:
To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply.
what should be added
2x ^3+ 3x^2+8x-4
to get 0 ?
Answer:
-2x^3 - 3x^2 -8x + 4 should be added
Step-by-step explanation:
Here, we want to know what should be added to the expression to get 0
What we should do in this case is to simply negate the values we have in the expression already
Adding the negated values will give 0
So, we have that;
-2x^3 - 3x^2 -8x + 4
A person paid 56.50 rupees as zakaat in a year find his saving for the Year
paste the full question man
10 per tee shirt and no shipping cost
Answer:
5,10,15,20,25
Step-by-step explanation:
I believe this is correct because, If you find number 1 on the x axis and find 5 on the y axis, they meet up so therefore 1 shirt cost 5 dollars and so on.
evaluate: 1: 80-4(2)divided by 8. 2: 92.3-(3.2 divided by 0.4) x 2(3) 3: {(2(3) x2.5) divided by 1/2} + 120. 4: [20+(2.5x3)]-3(3). 5: [(2x 10(0)) divided by 1/3] +8
Whats the answer to -6(12p - 8n) in distributive Property?
Answer:
−72p+48n
Step-by-step explanation:
Which colonial region was the most culturally diverse
which equations are linear functions? select all that apply
Answer: 1, 3, and 5
Step-by-step explanation:
Viral Marketing
An organization is trying to decide between three sets of assumptions for their viral
marketing campaign:
• Send the message to 20 people, and assume that each person will take 1 day to share
the message with 3 other, new people (and each of them will share with 3 new
people, and so on).
• Send the message to 5 people, and assume that each person will take 1 day to share
the message with 6 other, new people and each of them will share with 6 new
people, and so on),
• Broadcast the message by paying for a television commercial that reaches 100,000
people, but can't be shared easily.
For which scenario would the most people see the message by the 6th day that the
organization sent it?
Answer:
...
Step-by-step explanation:
Jordana drew the function below. Which statement correctly explains whether or not her function is linear?
On a coordinate plane, a parabola opens up.
It is linear because it has a constant rate of change.
It is linear because it does not have a constant rate of change.
It is not linear because it has a constant rate of change.
It is not linear because it does not have a constant rate of change.
Answer:
It is not linear because it does not have a constant rate of change
Step-by-step explanation:
See attachment for Jordana's graph
From the attachment, it'll be observed that the graph has a curved line.
This means that the graph is not a linear and does not represent a linear function.
In functions, a linear representation has a constant slope (in other words, constant rate of change) while non linear representations do not.
So, since we've been able to establish that the graph is non linear, then we can conclude that the graph do not have a constant slope.
Base on the analysis above and from the list of given options, option (d) is correct.
Answer:
D
Step-by-step explanation:
credit to person above :)
have a nice day <3
I need help its Khan 2q+2+9
Answer:
2q+11
Step-by-step explanation:
Variables are the same. Only the constants add.
Please help Algebra 1
Answer:
D
Step-by-step explanation:
Are 5 and 0.5 Equal to Each other?
Answer:
no
Step-by-step explanation:
5 is a whole number 0.5 doesn't equal to 1 it is half of 1
Which is the graph of the system x + 3y > –3 and y < One-halfx + 1?
On a coordinate plane, 2 dashed lines are shown. The first straight line has a positive slope and goes through (negative 2, negative 2) and (2, 0). Everything below the line is shaded. The second straight line has a negative slope and goes through (negative 3, 0) and (0, negative 1). Everything above and to the right of the line is shaded.
On a coordinate plane, 2 dashed lines are shown. The first straight line has a positive slope and goes through (negative 2, 0) and (0, 1). Everything below the line is shaded. The second straight line has a negative slope and goes through (0, 1) and (2, 0). Everything above the line is shaded.
On a coordinate plane, 2 dashed lines are shown. The first straight line has a positive slope and goes through (negative 2, 0) and (0, 1). Everything below the line is shaded. The second straight line has a negative slope and goes through (0, 1) and (3, 0). Everything above the line is shaded.
On a coordinate plane, 2 dashed lines are shown. The first straight line has a positive slope and goes through (0, 1) and (2, 2). Everything below the line is shaded. The second straight line has a negative slope and goes through (negative 3, 0) and (0, negative 1). Everything above the line is shaded.
Answer:
D, or the last graph.
Step-by-step explanation:
I got it right when I was doing the assignment :)
From the information given regarding the graph, it should be noted that correct option about the graph of the system is D. On a coordinate plane, 2 dashed lines are shown.
What is a graph?It should be noted that a graph is a mathematical diagram which shows the relationship between two or more sets of numbers.
In this case, on a coordinate plane, 2 dashed lines are shown. The first straight line has a positive slope and goes through (0, 1) and (2, 2). Everything below the line is shaded. The second straight line has a negative slope and goes through (negative 3, 0) and (0, negative 1). Everything above the line is shaded.
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what is 15 feet converted to meters
Answer:
4.572 meters
Step-by-step explanation:
hope it helps, mark brainliest please
Answer:
4.572 meters; 4.6 rounded.
Step-by-step explanation:
Multiply the foot value by 0.3048 or divide by 3.280839895
15x0.3048
=4.572
Geometry Question:
Find the value of x that makes N the incenter of the triangle (See attached)
Answer:
.5 or 1/2
Step-by-step explanation:
Y^2x 24^2=25^2
Y=7
7=14x
x=.5
The value of x is 0.5.
The calculation is as follows:Here we use Pythagoras Theorem
[tex]Y^2 - 24^2=25^2[/tex]
Y=7
Now
7 = 14x
So, x=.5
Therefore we can conclude that The value of x is 0.5.
Learn more: brainly.com/question/17429689