Final answer:
Jim can rent the car for a maximum of 4 whole days with his budget of $115, as the inequality 21d + 0.10(250) <= 115 reveals that he doesn't have enough funds to cover the fifth day.
Explanation:
To determine the maximum number of days Jim can rent a car, we can set up an inequality. The cost per day to rent the car is $21.00, and he will be charged $0.10 for every mile he drives. Jim will travel 250 miles in total. Jim has a budget of $115.00 to spend.
Let d represent the number of days Jim can rent the car for. The inequality would be:
21d + 0.10(250) ≤ 115
To solve for d, you would perform the following steps:
Multiply 0.10 by 250 to get the total cost for miles driven, which is $25.00.Subtract this cost from Jim's total budget to see how much is left for renting the car, which gives us 115 - 25 = $90.00.Divide the remaining budget by the cost per day to find the maximum number of days Jim can rent the car, which is 90 / 21.Solving the inequality:
21d ≤ 90
d ≤ 90 / 21
d ≤ 4.2857
Since Jim can only rent the car for a whole number of days, the maximum number of days he can rent the car is 4 days.
Therefore, Jim's belief that he can rent the car for a maximum of 5 whole days is incorrect because he does not have sufficient funds for the fifth day.
Distinguish between the situations that can be modeled with a linear function, an exponential functions or neither
Answer:
Examples of linear functions would be relationships that represent a constant rate of change, such as 20 miles per gallon of gas. Exponential functions would be relationships that represent a growth or decay the increases or decreases by an exponential amount, such as a bacterial growth that doubles each hour. Examples of situations that would be neither linear or exponential would be absolute value functions or quadratic functions.
Step-by-step explanation:
Situations, or relationships between data, that can be modeled with a linear function must show a constant increase or decrease in rate. For example, we could control the rate of temperature in a water bath by two degrees every ten minutes. For exponential functions, these can be modeled in situations where there is a significant growth or decay of a material. For instance, the radioactivity of an element will decrease by one-half every year. This would represent an exponential decay. For other types of situations, such as changes in body temperature (absolute value) or the speed of a kayaker (quadratic), these would not be modeled using either linear or exponential functions.
A linear function can model constant rate of change, exponential function can model constant growth or decay, and some situations do not fit into these mathematical models.
Explanation:A linear function can model situations where there is a constant rate of change between two variables. For example, if the cost of a movie ticket increases by $2 for every additional hour of the movie, you can represent this relationship with a linear function.
An exponential function can model situations where there is constant growth or decay. For example, if the value of an investment doubles every year, you can represent this relationship with an exponential function.
There are situations that cannot be modeled with either a linear or exponential function. For example, unpredictable events or situations with multiple complex factors may not fit into these mathematical models.
PLEASE HELP!!!!!!
Which number(s) below belong to the solution set of the inequality? Check all that apply.
“9x>117”
A. 13
B. 19
C. 6
D. 14
E. 8
F. 12
If I understand the question corrects it’s asking which numbers work in the inequality so you just plug in each number where x is.
B and D
Find the quotient. 1,458/26
1458/26 = 56.0769230769
Hope this helps! <3
The quotient is 56, and there is a remainder of 2.
The quotient of 1,458 divided by 26 is 56. In long division, you would set up the problem as follows:
56
__________
26 | 1,458
You start by asking how many times 26 can fit into 145 (the first two digits of 1,458). The answer is 5 (5 times 26 equals 130).
You write the 5 above the line and subtract 130 from 145, leaving you with 15.
Then, you bring down the next digit, which is 8, making it 158. You repeat the process, finding that 26 goes into 158 six times (6 times 26 equals 156).
Write the 6 above the line, and you're left with a remainder of 2. So, the quotient is 56, and there is a remainder of 2.
for such more question on quotient
https://brainly.com/question/11418015
#SPJ3
What is the volume of this cylinder use 3.14 for pie
72
200.96
204.53
226.08
The formula of a volume of a cylinder:
[tex]V=\pi r^2H[/tex]
r - radius
H - height
W have r = 3cm and H = 8cm. Substitute:
[tex]V=\pi(3)^2(8)=\pi(9)(8)=72\pi\ cm^3[/tex]
[tex]\pi\approx3.14\to V=72(3.14)=226.08\ cm^3[/tex]
Answer: 226.08 cm³.Evaluate the expression below, -0.25 -(-1/5)+0.2+(-1/4)
Answer:
0.4
Step-by-step explanation:
-1/5 = -2/10 = -0.2, -1/4 = -25/100 = -0.25
-0.25-(-1/5)+0.2+(-1/4) = -0.25+0.2+0.2+0.25 = -0.25+0.25+0.2+0.2 = 0.4
Answer:
0.0016
Step-by-step explanation:
there are 24 students at the class picnic if 3/4 of the class is at the picnic how many students are in the class
Answer:
32
Step-by-step explanation:
To find the number of students in the class, use the equation 3/4x = 24 and solve for x.
Explanation:To find the number of students in the class, we can set up the equation 3/4x = 24, where x represents the total number of students in the class.
To solve for x, we need to isolate it. We can do this by multiplying both sides of the equation by the reciprocal of 3/4, which is 4/3.
3/4x * 4/3 = 24 * 4/3
x = 32
Therefore, there are 32 students in the class.
Learn more about Number of students in a class here:https://brainly.com/question/29273862
#SPJ3
What is the zero in the quadratic function f(x)= 9x^2-54x-19?
Answer:
6.33... and 0.333...
Step-by-step explanation:
The quadratic formula is
[tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex].
It is important because while some quadratics are factorable and can be solved not all are. The formula will solve all quadratic equations and can also give both real and imaginary solutions. Using the formula will require less work than finding the factors if factorable. We will substitute a=9, b=-54 and c=-19.
[tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}\\x=\frac{-(-54)+/-\sqrt{(-54)^2-4(9)(-19)} }{2(9)}\\x=\frac{54+/-\sqrt{2916+684} }{18}[/tex]
We will now solve for the plus and the minus.
The plus,,,
[tex]x=\frac{54+\sqrt{3600}}{18}\\x=\frac{54+60}{18}\\x=\frac{114}{18}\\x=6.3[/tex]
and the minus...
[tex]x=\frac{54-\sqrt{3600}}{18}\\x=\frac{54-60}{18}\\x=\frac{-6}{18}\\x=-0.333...[/tex]
What is the written form of the decimal number 0.954?
Answer:
nine hundred fifty-four thousandths
Step-by-step explanation:
If you mean written as in a form in words:
To the first decimal place means tenths because it is out of ten
To the second place, it's hundredths because 100 = 10^2
3rd is 1000, and so on
A fraction (as in two out of five), is expressed in words as "two fifths"
So 954 out of 1000 would be nine hundred fifty-four thousandths
A recipe calls for 12 cups of blueberries to make 7 jars of blueberry jam.
What is true about the number of cups of blueberries in each jar?
Each jar has 7/12 cup of blueberries.
Each jar has 1/12 of 7 cups of blueberries.
Each jar has 12/7 cups of blueberries.
Each jar has 1 5/12 cups of blueberries.
Answer:
Each jar has 12/7 cups of blueberries.
Step-by-step explanation:
To find out how many cups of blueberries per jar, we take the number of cups of blue berries and divide by the number of jars
12 cups/7 jars
12/7 cups of blueberries per jar
Each jar has 12/7 cups of blueberries.
Answer:
Step-by-step explanation:
Equation in standard form
8x=-5y+3
Answer:
8x + 5y = 3
Step-by-step explanation:
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
given 8x = - 5y + 3 ( add 5y to both sides )
8x + 5y = 3 ← in standard form
Slope 8/5;y-intercept(0,-9)
Answer:
y = 8/5x - 9
Step-by-step explanation:
That would be your equation.
Final answer:
The question pertains to finding the equation of a straight line with a given slope of 8/5 and a y-intercept of (0,-9), which can be represented in slope-intercept form as y = (8/5)x - 9.
Explanation:
The question involves constructing the equation of a line with a given slope and y-intercept.
To find the equation of a line, we use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.
Given the slope of 8/5 and a y-intercept of (0,-9), the equation of the line would be y = (8/5)x - 9.
The slope tells us that for every increase of 5 units in the horizontal direction (-axis), the line rises 8 units in the vertical direction (-axis). Meanwhile, the y-intercept indicates that the line crosses the y-axis at -9.
Seymour is twice as old as Cassandra. If 16 is added to Cassandra’s age and 16 is subtracted from Seymour’s age, their ages will be equal. What are their present ages?
Answer:
The age of Cassandra is 32 years and Seymour is 64 years old.
Step-by-step explanation:
Let the age of Cassandra be x.
The age of Seymour = 2x
If 16 is added to Cassandra’s age and 16 is subtracted from Seymour’s age, their ages will be equal.
x + 16 = 2x - 16
2x - x = 16 + 16
x = 32 years
x = 32 years
The age of Seymour = 2x = 2 × 32 years = 64 years
The age of Cassandra is 32 years and Seymour is 64 years old.
Chole bought 4 movie tickets. Each ticket cost $6. What was the total cost of the movie tickets
Answer:
$24
Step-by-step explanation:
So, Basically you multiply 4 times 6 because you have 4 tickets that cost $6
and you would get 24 and add a dollar sign you should be good.
X varies directly and inversely with z. X=20 when y=8 and z=4 . Find x when y=4 and z =8
Answer:
Value of x = 5 .
Step-by-step explanation:
Combined variation states that describes a situation where a variable depends on two (or more) other variables, and varies directly with some of them and varies inversely with others.
Given: x varies directly with y and inversely with z.
i.e [tex]x \propto y[/tex] and [tex]x \propto \frac{1}{z}[/tex]
then we have the combined variation as;
[tex]x = k\frac{y}{z}[/tex] ......[1] where k is the constant variation.
Substitute the value of x =20 when y =8 and z = 4 to solve for k;
[tex]20 = k\frac{8}{4}[/tex]
Simplify:
[tex]20 = 2k[/tex]
Divide both sides by 2 we get;
[tex]k = 10[/tex]
Now, substitute k =10 , y =4 and z = 8 to find x;
Using [1] we have;
[tex]x = 10 \times \frac{4}{8} = 10 \times \frac{1}{2} = 5[/tex]
Therefore, the value of x is, 5
The problem involves the concept of direct and inverse variation. From the given conditions, a constant of variation 'k' is calculated as 1.6. Using this 'k', x is found to be 20 when y is 4 and z is 8.
Explanation:This question involves the concept of direct and inverse variation. When it is stated that 'x varies directly and inversely with z', it implies a relationship which can be written in the form of y = kx/z, where k is a constant of variation.
To find the constant, we plug in the provided values for x, y, and z into our equation. Hence, using the known values (x=20, y=8, and z=4), our equation becomes 8 = 20k/4. Simplifying this gives us k = 1.6.
Now, to find the value of x when y=4 and z=8, we substitute these into the equation giving us 4 = 1.6x/8. Solving for x, we find that x = 20.
Learn more about Direct and Inverse Variation here:https://brainly.com/question/26149612
#SPJ3
How do I find the perimeter of the shapes
Answer:Here is the answer
Step-by-step explanation: You first break the shape into two different shapes.Then add them side by side. Determine the length for each side. Then add them together. Add both of the perimeters of the shapes.
you are making scarves for presents each scarf needs 3/4 yards of fabric how many yards of fabric do you need for 6 scarves
Answer: 8/1
Step-by-step explanation: 6/1 x 3/4= 24/3( divide both numbers by 3) and you get 8/1 yards of fabric.
Answer:
18/4
Step-by-step explanation:
3/4 per scarf
6 scarfs
6*(3/4)=(18/4)=4.5 yards
Paws at play made a total of $1234 grooming 22 dogs. Paws at Play charges $43 to groom each small dog and $75 for each large dog.
a. Write a system of equations that can be used to determine the number of small and large dogs that were groomed.
b. How many large dogs did Paws at Play groom?
Answer:
Answer (a):
s + l = 22 ... (i)
43s + 75l = 1234 ... (ii)
Answer (b)
9 large dogs.
Step-by-step explanation:
Paws at Play made a total of $1234 grooming 22 dogs.
Paws at Play charges $43 to groom each small dog and;
$75 for each large dog.
Let the number of small dogs be 's'
And the number of large dogs be 'l'
A system of equations will be:
s + l = 22 ... (i)
43s + 75l = 1234 ... (ii)
Solving this set of simultaneous equations by elimination, we simply multiply (i) by 43 to get;
43s + 43l = 946 ... (i)
43s + 75l = 1234 ... (ii)
Subtracting (i) from (ii) we get;
32l = 288 , l = [tex]\frac{288}{32}[/tex] = 9
So there are 9 large dogs.
if the pet store had 10 more birds the number of dogs would be double the number of birds what number should be on the scale explain how you solved
Answer:
one that fits
Step-by-step explanation:
#Bird+10 so #dog=2(#birds+10)
Answer:
We are gonna called birds [tex]x[/tex] and dogs [tex]y[/tex]. So, if pet store had 10 more birds the number of dogs would be double, this means that:
[tex]y=2(x+10)[/tex]
In the expression we have 10 more birds [tex]x+10[/tex], and the number of dogs is the double of these birds, which give us the expression.
So, the range of values would be:
If there are 10 birds, there would be 20 dogs.
If there are 11 birds, there would be 22 dogs.
If there are 12 birds, there would be 24 dogs, and so on...
13 birds, 26 dogs.
14 birds, 28 dogs.
All these results are given by the expression we found.
heelp will give brianliest
Answer:
256
Step-by-step explanation:
4(7)^2 + 30(2)
196 + 60 = 256
Please help me quick! I need this before tomorrow!
Round each number to the nearest tenth.
What is the best estimate for the answer to 26.73 + 89.42?
Answer:
116.1
Step-by-step explanation:
If you round each decimal to the nearest tenth it would be 26.7 + 89.4 because you round up if it is 6 and above and round down for 5 and below. The rest is just simple addition.
if the domain of f(x) = x^2 + 1 is limuted to {0,1,2,3} what is the maximum value of the range?
Answer: 10
Plug in the given x values and see which result is the largest
Plug in x = 0 ---> x^2+1 = 0^2 + 1 = 1
Plug in x = 1 ----> x^2 + 1 = 1^2 + 1 = 2
Plug in x = 2 ----> x^2 + 1 = 2^2 + 1 = 5
Plug in x = 3 ---> x^2 + 1 = 3^2 + 1 = 10
The range is therefore {1, 2, 5, 10} which is just the set of possible outputs.
We see that y = f(x) = 10 is the largest output of the range if the domain is restricted to the set {0, 1, 2, 3}
The difference of 11 and 4 times a number equals 3
Hello there!
An equation to model this situation is 11 - 4n = 3.
The unknown number has a value of 2.
Okay, so let's start by breaking down the question - we'll use n to model the unknown number.
The difference of 11 and 4 times a number equals 3
This means we are using subtraction.
The difference of 11 and 4 times a number equals 3
This means the numbers we are subtracting are 11 and 4n. (11 - 4n)
The difference of 11 and 4 times a number equals 3
This means our equation is equal to 3. (11 - 4n = 3)
Now we solve for N.
11 - 4n = 3
Start by subtracting 11 from both sides to work to isolate N.
11 - 11 - 4n = 3 - 11
-4n = -8
Next, divide both sides by -4 to finish isolating n.
-4/-4n = -8/-4
n = 2
I hope this helped you and have a great day!
The number in the equation is 2, as that when multiplied by 4 results in 8, and when subtracted from 11 gives 3.
Explanation:The question is looking for a number that, when multiplied by 4 and subtracted from 11, equals 3. We can represent this with the equation 11 - 4x = 3. To solve for x, we first move 4x to other side by adding 4x to both sides. This gives us 11 = 4x + 3. Then, we subtract 3 from both sides which gives us 8 = 4x. Finally, to solve for x, we divide both sides by 4. Therefore, x = 8 / 4 = 2.
Learn more about Equation Solving here:https://brainly.com/question/19297665
#SPJ3
18 - t/20= -9 what does t equal?
18 - t/20 = -9 what does t equal?
Answer:
t = 540
Step-by-step explanation:
18 - t/20 = -9
Subtract 18 from both sides.
-t/20 = -27
Multiply both sides by -20.
t = 540
PLZ HELP ONE MORE TIME LAST QUESTION
Megan purchased a new gadget for her technology hobby. She plans to sell it sometime in the future, however, its value depreciates monthly. The expression below shows the depreciated sales value of the gadget: 2020 – 22m What does the second term of the expression represent?
A. The number of months Megan will wait to sell the gadget.
B. The original value of the gadget.
C. The monthly depreciation value of the gadget.
D. The total depreciation value of the gadget.
Answer: C
Step-by-step explanation: The word problem says that the value depreciates monthly, which means that -22m is how much Megan's gadget depreciates because m stands for months.
Options B and D are not true because the value has a variable, which indicates that it is decreasing by number of months according to the minus sign and not at a fixed amount.
Option A is not true because the word problem says that the expression shows the monthly depreciated sales value of the gadget, not the amount of time Megan will wait to sell the gadget.
the results of a survey showed that 7 tenths of the housholds surveyed used a computer what fraction of the household surveyed did not use a computer
GEOMETRY HELP PLEASE!!!!!!! Josh is building an enclosure with recycled cardboard for his collection of model cars his design is as shown below:
What is the length of side BC in inches?
A) 14
B) 43
C) 49
D) 63
Brainliest + Points! Need help and please show work :)
A target is made of a blue square inside of a red square. The blue square has an area of 64 square units, and the red square has an area of 196 square units.
Assuming it hits the target, what is the probability that a dart will land in the blue region?
A.
0,25
B.
0.33
C.
0.67
D.
0.75
Answer:
B. 0.33
Step-by-step explanation:
The probability will be given by the amount of space in the target area, blue, compared to the total amount of space, the red square.
The size of the blue square is 64 and the size of the red square is 196; this gives us a probability of
64/196 = 16/49 = 0.3265 ≈ 0.33.
The required probability that a dart will land in the blue region is 0.33. Option B is correct.
Given that,
A target is made of a blue square inside of a red square. The blue square has an area of 64 square units, and the red square has an area of 196 square units.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
Total sample space = 196
Total favorable space = 64
The probability that a dart will land in the blue region is given as.
probability = 64 / 196 ≈ 0.33
Thus, the required probability that a dart will land in the blue region is 0.33. Option B is correct.
Learn more about probability here:
brainly.com/question/14290572
#SPJ2
Based on the graph below, what are the solutions to the equation f(x) = g(x)?
A. x = −2.4, 1.4, 3.9
B. x = −2.4, 0.25, 1.4
C. x = −2, 2, 3
D. x = −2, 1, 3
Look at the picture.
f(x) = g(x) - x for which the graphs intersect.
Answer: A. x = -2.4, x = 1.4, x = 3.9Answer by YourHope:
HI! :)
Based on the graph below, what are the solutions to the equation f(x) = g(x)?
A. x = -2.4, x = 1.4, x = 3.9!
:)
For a certain spinner, if we expect to win a prize four times in sixty tries, what is the theoretical probability of winning a prize?
Answer:1/15
Take 60/4=15
The theoretical probability of winning a prize is 1/15.
What is Probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Here, given data;
Total trials = 60
Expect to win = 4
Probability = favorable outcomes/total outcomes
= 4 / 60
= 1/15
Thus, The theoretical probability of winning a prize is 1/15.
Learn more about Theoretical Probability from:
brainly.com/question/11234923
#SPJ2
Solve for X. Each figure is a parallelogram.
Answer:
x = 3
Step-by-step explanation:
m < T = m < R (Because they are opposite angles of a parallelogram). Therefore:-
40x + 2 = 122
40x = 120
x = 120/40
x = 3
Parallelogram is the closed shaped quadrilateral which has opposite site equal and the opposite angle are equal. The value of the x is 3 units.
Given-For the parallelogram angle T is (40x+2) degrees.
The angle R is 122 degrees.
To solve this the it should be known about the angle of the parallelogram.
Parallelogram-Parallelogram is the closed shaped quadrilateral which has opposite site equal and the opposite angle are equal.
As in the given figure the angle T and angle R is the opposite angle. Thus angle T and angle R will be equal to the each other. Thus,
[tex]\angle T= \angle R[/tex]
Put the values of the angle in the above equation. Thus,
[tex]40x+2=122[/tex]
[tex]40x=122-2[/tex]
[tex]40x=120[/tex]
[tex]x=\dfrac{120}{40}[/tex]
[tex]x=3[/tex]
Hence the value of the x is 3.
https://brainly.com/question/7099686