Scott rented a truck for one day. There was a base fee of $18.99, and there was an additional charge of 92 cents for each mile driven. Scott had to pay $150.55 when he returned the truck. For how many miles did he drive the truck?
I need to find how many miles
Answer:
143 miles
Step-by-step explanation:
Let x = number of miles
Let y = total cost
150.55 = .92x + 18.99 Multiply all the way through by 100 to clear the decimal
15055 = 92x + 1899 Subtract 1899 from both sides
13156 = 92x Divide both sides by 92
143 = x
Each of the positive integers from 1 to 100 are written on a sheet of paper.
Some of these integers are erased. The product of those integers still on the paper leaves a remainder of 4 when divided by 5. Find the least number of integers that could have been erased.
Answer:
9 14 19 24 29 34 39 44 49 54 59 64 69 74 79 84 89 94 99
Given: A= {2, 4, 6, 8}
B= {1, 3, 5, 7}
C= {3, 6, 9}
7. (A intersection to B) union C =
Please Answer pls I need it tomorrow
Wrong question.....................
Find the domain and the range of the relation. Determine whether the relation is a function.
{(9/2,1/4),(4 1/2,-4),(0,5/6)}
It is not a function with domain as { 9 / 2 , 0} and range as {1 / 4, -4, 6}.
We are given a relation:
{(9 / 2, 1 / 4),(4 1 / 2, -4),(0, 5 / 6)}
We can also write it as:
{(9 / 2, 1 / 4),(9 / 2, -4),(0, 5 / 6)}
The domain of the relation will be:
Domain = { 9 / 2 , 0}
The range of the relation will be:
Range = {1 / 4, -4, 6}
We know that every function can be a relation but every relation cannot be a function.
A relation means the connection between the input and the output.
A function means that for every input there should only be one output.
Here, this relation is not a function because:
The input 9 / 2 has 2 outputs as 1 / 4 and -4 which is not possible in a function.
Therefore, we get that it is not a function with domain as { 9 / 2 , 0} and range as {1 / 4, -4, 6}.
Learn more bout domain here:
https://brainly.com/question/2264373
#SPJ9
evaluate 3^2018 + 3^2015 / 3^2017 + 3^2016
The simplified value of the expression given as 3^2018 + 3^2015 / 3^2017 + 3^2016 is 7/3
How to evaluate the expression?The expression is given as:
3^2018 + 3^2015 / 3^2017 + 3^2016
Factor out 3^2015 in the expression
So, we have
3^2015(3^3 + 1)/3^2015(3^2 + 3)
Cancel out the common factor
(3^3 + 1)/(3^2 + 3)
Evaluate the exponents
(27 + 1)/(9 + 3)
This gives
28/12
Simplify
7/3
Hence, the simplified value of the expression given as 3^2018 + 3^2015 / 3^2017 + 3^2016 is 7/3
Read more about expressions at:
https://brainly.com/question/723406
#SPJ1
A line passes through point 6, 1 and has a slope of 43. Write an equation in =+AxByC form for this line. Use integers for A, B, and C.
Answer:
4x-3y=21.
Step-by-step explanation:
1) the common view of slope-interception form is y=slope*x+interception;
2) if according to the condition the slope=4/3, then the required equation is
[tex]y=\frac{4}{3}x +interception;[/tex]
3) in order to calculate the interception it is enough to substitute the given coordinates into this equation:
[tex]1=6*\frac{4}{3} +interception; \ = > \ interception=-7;[/tex]
4) the slope interception form of the required equation is:
[tex]y=\frac{4}{3}x-7;[/tex]
5) if to re-write the equation in slope-interception form into the required, then (A=4; B=-3; C=21):
4x-3y=21.
Measure the length and width of a rectangular room in your house/apartment in feet. Determine the area of the room in square feet. Convert the area to both square inches and square yards. Explain how you made these conversions. When would you want to have the area in square feet? Square inches? Square yards?
Then measure the height of the room in feet. Calculate the volume of the room in cubic feet. Convert the volume to both cubic inches and cubic yards. Explain how you made these conversions. When would you want to have the area in cubic feet? Cubic inches? Cubic yards?
1) The area of the room in square feet, square inches, and square yards is as follows:
Area = 120 ft²
Area = 1,440 in²
Area = 40 yards²
2) The volume of the room in cubic feet, cubic inches, and cubic yards is as follows:
Volume = 1,440 ft³
Voluem = 17,280 in²
Volume = 480 yards²
What are the conversion rates?The conversion rates are:
1 foot equals 12 inches 3 feet are equivalent to 1 yard.The mathematical operations of multiplication and division are used.
Data and Calculations:Let the length = 12 feet
Let the width = 10 feet
Let the height = 12 feet
1 foot = 12 inches
3 feet = 1 yard
Area = 120 ft² (12 x 10)
Area = 1,440 in² (120 x 12)
Area = 40 yards² (120/3)
Volume = 1,440 ft³ (12 x 10 x 12)
Voluem = 17,280 in² (1,440 x 12)
Volume = 480 yards² (1,440/3)
Learn more about unit conversion rates at https://brainly.com/question/675275
#SPJ1
What is the answer to 0.038 ounces to mg
Answer:
1,077.281879 mg is the answer
3. What is one question you can ask yourself if you find you are making an irrational
decision because of the endowment effect?
Answer:
Asking yourself how much you'd be willing to spend if someone else offered you a similar product.
A bag contains 3 red marbles(R), 5 green marbles(G), 2 black marbles(B), and 1 white marble(W). A marble is drawn from the bag and then replaced 30 times. What is the experimental probability of drawing a red marble?
Answer:
27% or 0.27
Step-by-step explanation:
Since this is a probability question, you have to add the marbles together and divide by the probability that it's asking for. So...
# of R marbles = 3
# of G marbles = 5
# of B marbles = 2
# of W marbles = 1.
So add it together and you will get 11.
Now, divide the number of marbles/total number of R marbles.
3/11
Which gives you 0.27272727
So your answer is 27% or 0.27
Kevin drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 9 hoursWhen Kevin drove home, there was no traffic and the trip only took 4 hours. his average rate was 40 per hour faster on the trip home, how far away does Kevin live from the mountains? Do not do any rounding
Answer:
288 miles
Step-by-step explanation:
Kevin's trip took 9 hours one way, and 4 hours the other way, driving 40 mph faster. You want to know the one-way length of Kevin's trip to the mountains.
SetupThe relation between time, speed, and distance is ...
speed = distance/time
Using d to represent the one-way distance Kevin drove, we can relate his speeds with ...
d/4 = 40 +d/9 . . . . . . speed coming home was 40 mph more than going
SolutionMultiplying by 36 to clear fractions, we have ...
9d = 1440 +4d
5d = 1440 . . . . . . . subtract 4d
d = 288 . . . . . . . divide by 5
Kevin lived 288 miles from the mountains.
If f(n) = 2n^2 + 2n and g(n) = n + 1, what is (f ÷ g)(n) when n = -2?
Answer:
The answer is -4.
Step-by-step explanation:
Since its f/g, we know that f(n)= 2n^2+2n and g(n)=n+1.
N= -2. You will plug in all the values of n = - 2.
So...
2n^1+2n/n+1
2(-2)^2+2(-2)/-2-1 which will give you -4.
Decrease -18 by 18.
The difference is ___?
( the answer is not 0 or -324)
Answer:
-36
Step-by-step explanation:
-18 - 18 = -36
Suppose a charity received a donation of $23.3 million. If this represents 58% of the charity's donated funds, what is the total amount of its donated funds? Round your answer to the nearest million dollars.
Step-by-step explanation:
23.3 million = 58%
1% = 58%/58 = 23.3 mil. / 58
100% = 1%×100 = 100×23.3 mil./58 =
= 2,330,000,000/58 = 40,172,413.79... ≈
≈ $40 millions
Which of the following lines is parallel to line y= -8x - 3?
Which author would agree with the opinions below?
Answer:
athour of text 2 for the first Q
athour of text 1 for the second Q
athour of text 2 for the third Q
A(6-1) , В(2,3)
help pls
Find AB→+BC→+CD→+DE→+EF→
Answer:
34 I plus the word like in number it self
Kon'nichiwa, everyone! just to make sure you are correct if you answer this question make sure you have a explaination, and a good one with that.
ex; you took the test and have proof you took it.
ex; explaining how you got your answer
also if you happen to need this "⎯⎯" you can just copy paste that and put it in the answer
that's all, thanks for reading this :D
Answer:
Hey there i see that you are doing scientific notation things well i will help you
Step-by-step explanation:
so 5.2 X 10 to the 5th power = 520000
3.9 X 10 to the 8th power = 390000000
and 4.7 X 10 to the 5th power = 470000
so on that info the answer is
4.7 x 10(5), 5.2 x 10(5), 3.9 x 10(8)
hope you have a nice day
Answer and work is all shown in the provided screenshot! I hope this helps! :)
PLEASE ANSWERING THIS QUESTION!!!
Solve the quadratic equation by completing the square: [tex]\sf{z^2+8z-44=20}[/tex]
Give the equation after completing the square, but before taking the square root. Your answer should look like: [tex]\sf{(z-a)^2=b}[/tex]
The equation is: (blank)
List all solutions to the equation in simplest radical form, separated by commas. The solutions are:
z= (blank)
Rules answering these questions:
Explain your answer!
Do not spam answers!
Show your work!
Nonsense answers will be reported and delete your answers.
Thanks!
The equation after completing the square is (z + 4)² = 80
The solutions to the given equation in the simplest radical form are z = -4 + 4√5 and z = -4 - 4√5
Completing the squareFrom the question, we are to solve the given quadratic equation by completing the square
The given equation is
z² +8z - 44 =20
First, add 44 to both sides of the equation
z² +8z - 44 + 44 = 20 + 44
z² +8z = 64
Now, divide the coefficient of z by 2, square the value and add to both sides
The coefficient of z is 8
Dividing
8/2 = 4
Squaring
4²
Now, add this to both sides
That is,
z² +8z +4² = 64 + 4²
(z + 4)² = 64 + 16
(z + 4)² = 80
The equation after completing the square is
(z + 4)² = 80
Continuation
(z + 4)² = 80
Take the square root of both sides
√(z + 4)² = ±√80
z + 4 = ±√80
z = -4 ± √80
z = -4 ± 4√5
z = -4 + 4√5 and z = -4 - 4√5
Hence,
The equation after completing the square is (z + 4)² = 80
The solutions to the given equation in the simplest radical form are z = -4 + 4√5 and z = -4 - 4√5
Learn more on Completing the square here: https://brainly.com/question/49444
#SPJ1
An open cylindrical tank is 150 feet in diameter and 180 feet high. The lateral surface area of the tank (no top and no bottom) is to be painted with paint that covers 225 square feet per gallon. When filled each cubic foot of the tank holds approximately 7.5 gallons of gasoline valued at $2.75 per gallon.
a) Find the number of gallons of paint required for a single coat of paint.
b) Find the total value of the gasoline in the filled tank.
In linear equation, the total value of the gasoline in the filled tank = $65605290
What is a formula for linear equations?
A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the integers m and b provide the line's slope (m) and the value of y. (b). Because (0,y) is the location where the line crosses the y-axis, the value of y when x is 0 is referred to as the y-intercept.
Radius = 150/2 = 75 feet
height = 180 feet
A)
lateral surface area = 2 *pi*r*h = 2*pi* 75 *180 =84823
number of gallons of paint=84823/225 = 377 gallons
B)
Volume of cylinder= pi*r²h= pi*75^2*180 =3180862.5618
total value of the gasoline in the filled tank =3180862.5618 *7.5 *2.75 =$65605290
Learn more about linear equation
brainly.com/question/11897796
#SPJ9
500 values are normally distributed with a mean of 125 and a standard deviation of 10 which percent of the values lies between 115-125
The percent that the value is between 115 - 125 is 34.13%.
What is defined as the standard normal distribution?A standard normal distribution is a symmetric probability distribution with equal mean, mean, and mode values. The value of the probability of a standard normal distribution is achieved from a statistical table or computer software.For the given question;
The total number of the sample is 500.
The mean of the sample is; μ = 125.
The standard distribution is; σ = 10.
The percentage of the values must lie between 115-125.
Thus,
P(115 < X < 125) = P[(115 - 125)/10 < (x - μ)/ σ < (125 - 125)/10]
= P[-1 < Z < +0]
Z for +0 = 0.50000 and z for -1 = 0.15866 obtained from Z-score table.
P(115 < X < 125) = [0.50000 - 0.15866]
P(115 < X < 125) = 0.34134
P(115 < X < 125) = 34.13%
Therefore, the probability for percent of the values lies between 115-125 is 34.13%.
To know more about the standard normal distribution, here
https://brainly.com/question/4079902
#SPJ9
13/2^2-10(13/2)+23 find the answer just evaluate
Answer:
Step-by-step explanation:
-38 3/4
A sale at a store is 15%. If the sale price after
the discount is $35.70. What was the original
price of the sweatshirt (S)?
Answer:
$42.00
Step-by-step explanation:
Let x = the original cost of the sweatshirt
x - .15x = 35.70 We don't know the original cost so we will call it x. I know that we are taking 15 off of this number to get the sale's price. 15% means per 100, so as a fraction this would be 15/100. To make this a decimal, I would divide 15 by 100 to get .15
x - .15x = 35.70 Combine the like terms
.85x = 35.70 This is say that 85% if the original price is the sale price of 35.70
Divide both sides of the equation by .85 and we get x = 42.00
Check:
42 - .15(42) = 35.70
42 - 6.30 = 35.70
Question 3(Multiple Choice Worth 5 points)
(01.03 MC)
Which number has a 4 that is 10 times greater than the 4 in 542?
A. 5,420
B. 54.2
C. 5.42
D. 0.542
Answer:5.42
Step-by-step explanation:maybe it is maybe is not
You are about to list your house as For Sale By Owner. Suppose you need to allow
for a 3% commission for the buyer's realtor, and you need to receive a minimum of
$92,500 on the sale. What is the minimum price you can list the house at to
accommodate both of these requirements? Round to the nearest hundred dollars.
$89,725
$95,275
$95,400
$95,000
Answer:
(c) $95,400
Step-by-step explanation:
You want the listing price of your house such that you can clear $92,500 after paying a 3% commission to the buyer's realtor.
SetupThe buyer's agent will receive 3% of the sale price (P), so you receive that amount less. You want your share to be $92,500.
(1 -3%)P = 92,500
SolutionDividing by the coefficient of P, we get ...
P = 92,500/0.97 ≈ 95,361
We are asked to round this value to the nearest $100. That makes the listing price ...
$95,400 . . . . listing price
__
Additional comment
You can estimate the listing price by adding 3% of 92500 to that value, and you can estimate the added amount as 3%×90,000 = 2700. That is, you know the listing price needs to be slightly higher than ...
92500 +2700 = 95,200
Only one of the answer choices is above that value and rounded to the nearest $100. (You can eliminate the first two choices, because they are not properly rounded.)
x=-5
help me and solve this
x+5=0 is ans
Step-by-step explanation:
x=-5
therefore,x+5=0
On September 22, 2021, the market value of the investments contained in the Martindale Balanced Fund, a mutual fund, was $39,400,000, Liabilities for the
fund were $3,940,000.
If the fund had 1,380,000 shares outstanding, calculate the net asset value per share. Round your answer to the nearest cent.
Answer:
$25.70 (nearest cent)
Step-by-step explanation:
Given:
Market value = $39,400,000Liabilities = $3,940,000Outstanding shares = 1,380,000[tex]\begin{aligned} \textsf{Net Asset Value}_{\textsf{(Per Share)}} & =\dfrac{\textsf{Fund Assets}-\textsf{Fund Liabilities}}{\textsf{Total number of Outstanding Shares}}\\\\\implies \textsf{Net Asset Value}_{\textsf{(Per Share)}} & = \dfrac{\$39,400,000-\$3,940,000}{\$1,380,000}\\\\& = \dfrac{\$35,460,000}{\$1,380,000}\\\\& = \$25.69565217...\\\\\end{aligned}[/tex]
Therefore, the Net Asset Value (NAV) per share is $25.70 (nearest cent).
The given information is,
→ x = $39,400,000
→ y = $3,940,000
→ z = 1,380,000
Formula we use is,
→ (x - y)/z
Now the net asset value per share is,
→ (x - y)/z
→ (39400000 - 3940000)/1380000
→ 35460000/1380000
→ 25.6956521739
→ ≈ $25.70
Hence, the net asset value is $25.70.
Solve the calculation
Answer:
83° 59'
Step-by-step explanation:
The numbers given refer to degrees and minutes for two angles
We read them as follows
62° 18' ==> 62 degrees and 18 minutes
21° 14' ==> 21 degrees and 41 minutes
60 minutes make up 1 degree
We simply add the individual components together. If the number of minutes is 60 or greater then we have to convert those minutes to degree and minutes and add to the total degrees
In this case it is a simple addition since 18' + 41' = 59' and is less than 60
So 62° 18' + 21° 14'
==> Add the degrees separately ==> 62 + 21 = 83°
==> Add the minutes separately ==> 18' + 41' = 59'
Put the two components together to get
83° 59'
To two decimal places,
√70
must lie between ____
and _____.
Answer:
between 8.36 and 8.37
Step-by-step explanation:
[tex]\sqrt{70} =8.3666[/tex]
Hope this helps
