Given parameters:
Distance in a year = 18000miles
Car mileage = 24miles/gallon
Average cost per gallon = $2.72 per gallon
Problem;
Find the error in her calculation;
Step 1
18,000 miles/year
18, 000 miles = 1,500 miles/month -- Since there are 12months in a year
12 months
Step 2
1500 miles/month
Car mileage = 24miles/gallon
Gallons per month; [tex]\frac{1500}{24}[/tex] = 62.5gallons/month
125 gallons/month this is an error and should be 62.5gallons/month
12 miles/gallon should be 24miles per gallon
Step 3
(125 gallons/month) x ($2.72/gallons) = $340 cost/month
Correct
Step 2 is wrong because it uses wrong values.
Answer:
Option 1
Step-by-step explanation:
Wilma made a mistake is step 2. Instead of dividing by 12, she should have divided by 24. She should budget $170 per month for fuel expenses.
What is the value of 1
--
6^0
Answer:
2
Step-by-step explanation:
name the following line 6 different ways
Answer:
what line??
Step-by-step explanation:
Number 1 please ITS URGENT HELP PLSPLS
Answer:
The area of B is 8 cm²
Step-by-step explanation:
From the diagram, we can tell that the scale factor is 2 because the length of A is 6 cm and the length of B is 12 cm so the scale factor is 2. Since diagram A's area is 4 cm², all we need to do is multiply the diagram A's area by 2. That gives diagram B's area which is 8 cm²
Katy is between Houston and San Antonio. If the distance from Katy to San Antonio is 2 x x 5 miles and the distance from Katy to Houston is 4 12 x miles. The total distance from Houston to San Antonio is 120 miles . Then How far is it between each City?
Answer:
It is hard to read what you actually wrote, but i guess this is:
Distance to San Antonio = 2*5*x mi
Distance to Houston = 4*12*x mi
Distance from Houston to San Antonio = 120mi
Then we must have that:
2*5*x mi + 4*12*x mi = 120mi
(2*5 + 4*12)*x mi = 120mi
(10 + 48)*x mi = 120mi
x mi =120/58 mi = 2.06 mi
Now we can replace it in the above equations:
Distance to San Antonio = 2*5*2.06 mi = 20.6 mi
Distance to Houston = 4*12*2.06 mi = 98.88 mi
What is the number a solution of 6x-3>10?
Answer:
x > 1.167 (rounded to the nearest thousandth)
Step-by-step explanation:
Original Equation:
6x - 3 > 10
Add 3 to both sides
6x > 7
Divide both sides by 6
x > 1.1666666. . .
x > 1.167 (rounded to the nearest thousandth)
Hope I helped :)
Please consider Brainliest :)
I am going to keep this simple and I am going to help people out who need points. What is 4 x 9?
Answer:
36
Step-by-step explanation:
In response to a gss question in 2006 about the number of hours spent per day watching television, the responses by the fifteen subjects who identified themselves as Buddhist were 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 3, 4, 4, and 5. For these fifteen subjects, the mean number of hours spent per day watching television is 1.93 hours. What is the standard error of this mean estimate?
Answer:
Standard error = 0.4
Step-by-step explanation:
Step 1
We find the Standard Deviation
The formula = √(x - mean)/n - 1
n = 15
Mean = 1.93 hours
= √(0- 1.93)² + (0-1.93)² +(0- 1.93)²+( 0- 1.93)²+ (1- 1.93)² + (1- 1.93)² +(1 - 1.93)² +(2 - 1.93)² + (2 - 1.93)² + (2 - 1.93)² + (2 - 1.93)² + ( 2 - 1.93)² +(4 - 1.93)² +(4 - 1.93)² + (5 - 1.93)²/15 - 1
= √(3.737777776 + 3.737777776 + 3.737777776 + 0.871111111 +0.871111111 + 0.871111111 + 0.004444444445+ 0.004444444445 + 0.004444444445 + 0.004444444445 + 0.004444444445 + 1.137777778 + 4.271111112 + 4.271111112 + 9.404444446)/15 - 1
= √2.352380952
= 1.533747356
Step 2
We find the standard error
The formula = Standard Deviation/√n
Standard deviation = 1.533747356
n = 15
= 1.533747356/√15
= 1.533747356 /3.87298334621
= 0.39601186447
Approximately = 0.4
Therefore, the standard error is 0.4
PLEASE helppp. What equation describes a line that is perpendicular y=-2/7x+5 and has the same y-intercept as y = 3x - 2?
Answer:
y = 7/2 -2
Step-by-step explanation:
if the slope of the first problem is -2/7 then its perpendicular is 7/2 (the exact opposite) and since the y- intercept is the b in Y= mx +b the intercept of the equation you’re trying to find is -2
The average age of 3girls is 17years 4months.The average 2 of them is 17years 3months. How old is the third girl?
Answer:
17 years 2months
Step-by-step explanation:
Beacause the last girl is young
Can anyone tell me how to break apart the following number: 6359
Answer:
6000 + 300+ 50 +9
Step-by-step explanation:
Start by focusing on the thousands place. Then switch to hundreds then to tens and finally to ones place.
1. The line through A and B has a slope = _____ and y-intercept = _____
2. Write an equation for this line. ________
Answer:
1. slope= 1/2; y intercept=3
2. y= 1/2x+3
Step-by-step explanation:
The slope is equal to the y value of b minus the y value of a OVER the x value of b minus the x value of b. This simplifies to 1/2.
If the slope is 1/2, you can see that for every 1 that the line rises, its x value increases by 2. Since you know the when the x value is 2, the y value is 4, decreasing the x value by 2 (making it 0) would make the y value 3.
What is the slope of a line that is perpendicular to the line y=-1/3x-6
OA. 3
OB. 1/3
OC. -1/3
O D. 3
Answer:
3
Step-by-step explanation:
3 is the complete oposite of -1/3 in terms of slopes, therefore they are perpendicular to each other.
prove the two triangles are similar
use photo for details
Answer:
the sides are congruent.
Gi dont understand how to find Which ordered pair is a solution of the equation? y=8x+3
Answer:
(1, 11 ) is a solution
Step-by-step explanation:
To obtain a solution, choose any value of x, substitute into the equation and evaluate for y, that is
choose x = 1, then
y = 8(1) + 3 = 8 + 3 = 11
Thus (1, 11 ) is a solution
choose x = - 2 , then
y = 8(- 2) + 3 = - 16 + 3 = - 13
Thus (- 2, - 13 ) is also a solution
Lets go over the solutions.
Let's start with (1, 11). After substituting x = 1 and y = 11, it results in the equation 11 = 11, which is a true statement. Hence, this is one solution.
Now, let's look at (-1 -5). After substituting x = -1 and y = -5, it results in the equation -5 = -5, which is also a true statement. So, this being said, (-1, -5) would also be a solution.
Hence, our two solutions are:
Both [tex](1, 11)[/tex] and [tex](-1, -5)[/tex].
Hope this helps!
what is the slope of the line in the graph?
Answer:
It is one. I believe, sorry if i'm wrong.
Step-by-step explanation:
Answer:
y= x +1
Step-by-step explanation:
You could use the slope formula y2-y1/x2-x1, what I did was I took the og equation y=x and I noticed it was vertically shifted by 1. Thus, y=x+1
Juan is saving money to buy a game. So far he has saved ,$12 which is three-fourths of the total cost of the game. How much does the game cost?
Answer:
$16 :)
Step-by-step explanation:
If a point M at (3,-2) is reflected over the y=0 line,what would be the coordinates of M?
Answer: The coordinates of M would be (3,2).
Step-by-step explanation: I don't know how to explain but I'm 100% sure this is the answer. Your welcome :)
if you only have 2 gallons of gas left, you can only travel 26 more miles. If I need to travel 91 miles, how many gallons of gas would I need?
Answer:
7
Step-by-step explanation:
If 2 gallons gets you 26 miles, then you get 13 miles per gallon. If you need to go 91 miles, you divide that by the 13 per gallon, and you get 7.
Determine whether AB and CÓ are parallel, perpendicular or neither.
A=(-2,-1) B=(4, 1)
C=(-2,3)
D= (0, - 2)
Answer:
Neither
Step-by-step explanation:
They do not form a 90° angle(so it's not perpendicular)
And they touch(so it's not a parallel)
Frankie bought a new computer. He made an initial payment of $50 to the store, and he will pay $30 each month until the computer is paid off. What is the y-intercept and the slope??
If 6 pounds of blueberries costs $16.50, is $1 for 2.75 pounds of blueberries true?
Step-by-step explanation:
Hmm I'm not sure but (no) I think
6 pounds = $16.50
1 pound = $16.50 ÷ 6
=$2.75
$16.50 = 6 pounds
$1 = 6 ÷ $16.50 = 4/11 pounds (0.36363636......)
If a system of equations has one solution, what does the graph look like?
O parallel lines
O intersecting lines
O skew lines
O the same line
6=-r/3;r
Help ASP it’s urgent
Answer:
bro what
Step-by-step explanation:
yeha
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the maths linear algebra,
here, we solve as,
6 = -r/3
=> -r = 6×3
hence, r = -18
how many solutions does this equation have?
7(2+5x)=3x+14
Answer:
none
Step-by-step explanation:
If you use the distributive property, you get 14 + 35x = 3x + 14. Then, subtract 3x from both sides to get 14+32x=14. Subtract 14 from both sides to get 32x= 0. These aren't equivalent, so there are no real solutions. Hope this helps!
The equation has only one solution which is equal to 0
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given: The system of linear equations as 7(2+5x)=3x+14
simplifying the equation we get
7(2+5x)=3x+14
14+35x=3x+14
32x=0
x=0
Hence, The equation has only one solution which is equal to 0
Learn more about linear equations here:
https://brainly.com/question/29739212
#SPJ2
Use the algebra tiles to model x – 3. Then complete the statements. The variable is represented by Subtracting three is represented by . The tiles represent an unknown number.
Whoever can the question in 1 minute i will vote them BRAINLIest
Answer:
1.one orange x tile 2.three blue-tiles 3.subtracting three from
Step-by-step explanation:
I got it right have a nice day :)
An account grows at an annual interest rate of r , so it grows by a factor of x = 1+ r each year. The function A(x)= 800x^4 + 350x^3 + 500x^2 + 600x gives the amount in the account after 4 years when the growth factor is x.
1) What is the total amount in the account if the interest rate for the account is 3% each year?
Answer:
2431.311498
Step-by-step explanation:
Given the model:
A(x)= 800x^4 + 350x^3 + 500x^2 + 600x
x = growth factor = (1 + rate)
If rate = 3% ; x = (1 +. 3%) = (1 + 0.03 = 1.03
Hence,
A(1.03)= 800(1.03)^4 + 350(1.03)^3 + 500(1.03)^2 + 600(1.03)
= 2431.311498
This is the amount in account after 4 years, if the interest rate is 3% and growth rate = (1 + rate)
Applying the formula, it is found that the total amount in the account will be of $2,431.3.
The amount in the account after 4 years is given by:
[tex]A(x) = 800x^4 + 350x^3 + 500x^2 + 600x[/tex]
In which the growth factor is x = 1 + r, in which r is the interest rate, as a decimal.
In this problem, interest rate of 3%, hence [tex]r = 0.03, x = 1 + r = 1 + 0.03 = 1.03[/tex].
Then:
[tex]A(1.03) = 800(1.03)^4 + 350(1.03)^3 + 500(1.03)^2 + 600(1.03) = 2431.3[/tex]
The total amount in the account will be of $2,431.3.
A similar problem is given at https://brainly.com/question/22995738
Isaiah is a college student who rents an apartment that costs $755 a month. Each month, Isaiah receives $250 from his parents and $225 from a scholarship to help pay for the rent. Isaiah works at Ringling Telemarketing Company, making $10 an hour. Which of the following inequalities can be used to determine the number of hours, x, that Isaiah must work to pay his rent each month?
1.)10x-475≤755
2.)475x+10≥755
3.)10x+475≥755
4.)10x+475≤755
Answer: 3
10x+475≥755
Answer:
the 3rd one
Step-by-step
i think its right, i hope :)
(4, -3) and (8, -3)
Answer:
slope=0/4
Step-by-step explanation:
[tex]\frac{-3 + 3}{8-4}[/tex]
0/4
Answer:
-3 - (-3) / 8 - 4 = 0/4 = 0
Step-by-step explanation
4x+13x=119 what does x=?
x=7
Answer:
x = 7
Step-by-step explanation:
Given
4x + 13x = 119 ( collect like terms on left side )
17x = 119 ( divide both sides by 17 )
x = 7
Answer:
x=7
Step-by-step explanation:
Let's solve your equation step-by-step.
4x+13x=119
Step 1: Simplify both sides of the equation.
4x+13x=119
(4x+13x)=119(Combine Like Terms)
17x=119
17x=119
Step 2: Divide both sides by 17.
17x
17
=
119
17
x=7
Answer:
x=7
What is the distance between points A and E?
A. 2.8
B. 3.2
C. 4.9
D. 5.7
Answer:
D. 5.7
Step-by-step explanation:
due to its reflection
Answer:
D
Step-by-step explanation:
A(3, 4) ; B(-1 , 0)
Distance= [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
= [tex]\sqrt{(-1-3)^{2}+(4-0)^{2}}\\\\=\sqrt{(-4)^{2}+(4)^{2}}\\\\=\sqrt{16+16}\\\\=\sqrt{32}\\\\=\sqrt{2*2*2*2*2}\\\\=2*2\sqrt{2}=4\sqrt{2}[/tex]
= 4 * 1.4142
= 5.6568
= 5.7