Answer:
bus = 50mph and train = 70mph
Step-by-step explanation:
4b + 4t = 480
t = b + 20 [replace the "t" in the next step to solve]
4b + 4(b + 20) = 480
4b + 4b + 80 = 480
8b + 80 = 480 [subtract 80 from both sides of the equation]
8b = 400 [divide by 8 on both sides of the equation]
b = 50 and if the train is 20mph faster, t = 70
4(50) + 4(70) = 480
Answer:
480
Step-by-step explanation:
please solve these two questions
Answer:
Question 4
Simplifying the expression [tex]\frac{x^2-10x-24}{x^2-3x-108}[/tex] we get [tex]\frac{x-2}{x-9}[/tex] and x≠9 or x≠2
Option D is correct option.
Question 5
Simplifying the expression: [tex]\frac{8x-16}{x^2-13x+22}[/tex] we get [tex]\frac{8}{x-11}, x\neq 11[/tex]
Option C is correct.
Step-by-step explanation:
Question 4
Simplify completely [tex]\frac{x^2-10x-24}{x^2-3x-108}[/tex]
For simplifying the above expression we have to find find factors of numerators and denominators
First finding factors of numerator [tex]x^2-10x-24[/tex]
[tex]x^2-10x-24\\ = x^2-12x+2x-24 \\= x(x-12)+2(x-12) \\=(x-12)(x-2)[/tex]
So, the factors of [tex]x^2-10x-24[/tex] are [tex](x-12)(x-2)[/tex]
Now finding factors of denominator [tex]x^2-3x-108[/tex]
[tex]x^2-3x-108\\=x^2-12x+9x-108\\=x(x-12)+9(x-12)\\=(x+9)(x-12)[/tex]
So, factors of [tex]x^2-3x-108 are (x-12)(x+9)[/tex]
Now, replacing numerators and denominators with their factors
[tex]\frac{x^2-10x-24}{x^2-3x-108}\\=\frac{(x-12)(x-2)}{(x+9)(x-12)}\\Cancelling\:(x-12) \: from\:numerator\:and\:denominator\\=\frac{x-2}{x-9}[/tex]
so, simplifying the expression [tex]\frac{x^2-10x-24}{x^2-3x-108}[/tex] we get [tex]\frac{x-2}{x-9}[/tex] and x≠9 or x≠2
Option D is correct option.
Question No 5
Simplify the expression: [tex]\frac{8x-16}{x^2-13x+22}[/tex]
For simplifying the above expression we have to find find factors of numerators and denominators
First finding factors of numerator [tex]8x-16[/tex]
Taking 8 common:
[tex]8x-16\\=8(x-2)[/tex]
So, factors of [tex]8x-16[/tex] are [tex]8(x-2)[/tex]
Now finding factors of denominator : [tex]x^2-13x+22[/tex]
[tex]x^2-13x+22\\=x^2-11x-2x+22\\=x(x-11)-2(x-11)\\=(x-2)(x-11)[/tex]
Now, replacing numerators and denominators with their factors
[tex]\frac{8x-16}{x^2-13x+22}\\=\frac{8(x-2)}{(x-11)(x-2)}\\Cancelling\:(x-2)\\=\frac{8}{x-11}, x\neq 11[/tex]
So, simplifying the expression: [tex]\frac{8x-16}{x^2-13x+22}[/tex] we get [tex]\frac{8}{x-11}, x\neq 11[/tex]
Option C is correct.
1.) Ethan is typing a 500-word essay for school. He can type 25 words per minute. A. Define a variable. X, B. Write an equation and solve an equation to find the number of minutes he has typed if he has 325 words remaining.
worth 20 points so please help
Answer:
The variable should be m=minutes
The equation should be 25m=175
Thus the answer being 7 minutes.
Given the function f(x) = 2-4, determine the slope of the tangent line of f at
x = -1 using the limit shown below. You do not have to simplify your answer.
Answer:
Slope of the tangent line at x=-1
[tex](\frac{dy}{dx})_{x=-1} = e^{-5}[/tex]
Step-by-step explanation:
Explanation:-
Given function
y = f(x) = e ˣ⁻⁴ ...(i)
Differentiating equation (i) with respective to 'x' , we get
[tex]\frac{dy}{dx} = e^{x-4} \frac{d}{dx} (x-4)[/tex]
[tex]\frac{dy}{dx} = e^{x-4} (1)[/tex]
Slope of the tangent line
[tex](\frac{dy}{dx})_{x=-1} = e^{-1-4} = e^{-5}[/tex]
A stadium sold 4000 tickets at $75 per ticket 5350 tickets at $62 per ticket and 7542 tickets at $49 per ticket what was the total ticket sales revenue
Answer:
$ 1,001,258
Step-by-step explanation:
Revenue in economics is the profit without the deduction of costs to sell. To find the revenue, multiply the quantity by its given price. Lastly, add all of the numbers up to get the revenue.
The revenue of the stadium is:
(Price 1 × Quantity 1) + (Price 2 × Quantity 2) + .....
(4000×75) + (5350×62) + (7542×49) =
1001258
im sorry for asking questions but i suck at math :/
A. 1 pair of corresponding points are N and L or you could use S and H.
but i do not know the question B sorry.
1.6 as an improper fraction in simplest form.
Answer:
Step-by-step explanation:
1+0.6
6/10 simplifed into 3/5
+1(which can be written anso as 5/5)
so 3/5 + 5/5 is 8/5 or 1 and 3/5
20 points for anyone that can solve the question
Answer:
[tex] {3}^{x} = {9}^{y} - - - eqn(i) \\ 4 ^{xy} = {2}^{x - 2} - - - eqn(ii) \\ from \: (i) \: introduce \: log_{10}\: \: \\ log( {3}^{x} ) = log( {9}^{y} ) \\ x log(3) = y log(9) \\ x log(3) = 2y log(3) \\ x = 2y - - - eqn(iii) \\ substitute \: for \: x \: in \: eqn(ii) \\ {4}^{ {2y}^{2} } = {2}^{2(y - 1)} \\ {4}^{ {2y}^{2} } = {4}^{(y - 1)} \\ from \: indice \: laws \\ {2}^{ {y}^{2} } = y - 1 \\ introduce \: log_{10} \\ {y}^{2} log(2) = log(y) - log(1) \\ log(2) = {y}^{ - 2} log (y \: - \: 1) \\ {y}^{ - 2} (2 - y - 1) = 10 \\ \frac{2}{ {y}^{2} } - \frac{1}{y} - \frac{1}{ {y}^{2} } = 10 \\ 1 - y = 10 {y}^{2} \\ 10 {y}^{2} + y - 1 = 0 \\ [/tex]
hope that step is enough to give you the two values of y, coz I gat no calc here with me.
hint: use the quadratic equation
plz help i will mark brainlist
Answer:
the answer would be graph C
Step-by-step explanation:
also the next time you have a question like this, you can use Desmos is a free graphing platform, thats how I answered this!
Good Luck and have a good day!
What’s the answer I really need it
Answer:
ECHA
Step-by-step explanation:
- 4x +35> 2 What is the answer?
Answer:
x < [tex]\frac{33}{4}[/tex]
Step-by-step explanation:
Given
- 4x + 35 > 2 ( subtract 35 from both sides )
- 4x > - 33
Divide both sides by - 4, reversing the symbol as a result of dividing by a negative quantity.
x < [tex]\frac{33}{4}[/tex]
On a coordinate plane, 2 polygons are shown. Polygon A B C D has points (1, negative 6), (5, negative 6), (6, negative 2), and (0, negative 2). Polygon A double-prime B double-prime C double-prime D double-prime has points (1.5, 4), (3.5, 4), (4, 2), and (1, 2). What steps would you take to determine if these figures are similar? Check all that apply. Use a scale factor of 2. Multiply the vertices of polygon ABCD by One-half. Translate the intermediate image 4 units down. Perform two different dilations. Reflect the intermediate image.
Answer:
It is A
Step-by-step explanation:
I need your help please 4x−2≤18
Answer:
x ≤ 5
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesStep-by-step explanation:
Step 1: Define Inequality
4x - 2 ≤ 18
Step 2: Solve for x
Add 2 to both sides: 4x ≤ 20Divide 4 on both sides: x ≤ 5Here we see that any value x smaller than or equal to 5 would work as a solution to the inequality.
Please help answer this I need to get this done
372,998 round to the nearest tenth thousandths
Answer:
373.000
Step-by-step explanation:
From the given information:
Let classify each digit into their place numbers.
The figure given is:
372,998
8 - unit
9 - tens
9 - hundred
2 - thousand
7 - ten thousand
3 - hundred thousand
To round 372,998 to the tenth thousandths position, then we have a decimal in the ten thousand place.
Note: That when determining the tenth thousandth place, we don't have unit position so counting start with 8 as tenth.
i.e.
37.2998 ≅ 373.000
please answer me fast
Answer:
Step-by-step explanation:
A bar chart is a graphical representation of data, showing the relationship between two variables in the form of bars. the height of each bar expresses the connection between the variables.
In the given question, plot the number of weeks given against the cost of living index so as to have a clear picture of the relationship between the variables.
The attachment to this answer shows the bar chart for the given data.
Braniliest
Which number is in the solution set of the inequality x > 25?
A) 16
B) 19
C) 22
D) 28
Answer:
D. 28
Step-by-step explanation:
This answer is it because 28 is greater than 25.
Can someone help me please
Answer
The answer is +200 or 200.
Please correct me If I am wrong
This is what my teacher taught me
Step-by-step explanation:
what is the slope between 0,0 and 5,15
A veterinarian is interested in the average number of pets her clients own. Over the course of a month, she questions each client she meets with and records their responses. The veterinarian calculates the average and draws a conclusion from her data.
What kind of statistical study did the veterinarian conduct?
A.
theoretical study
B.
survey
C.
experiment
D.
observational study
Answer:b
Step-by-step explanation:
Plato
Subtract to find the value of 15(2/3-2/5)
Answer:
[tex]4[/tex]
Step-by-step explanation:
Simplify the expression
the zero of the quadratic polynomial x^2+99x+127 are a both positive b both negative c one +ve one-ve d both equal. please help
Step-by-step explanation:
By Descrates' Rule of Signs,
x² + 99x + 127 changes sign 0 times.
Hence it has 0 positive roots.
Since the discriminant b² - 4ac is also positive, there are 2 real distinct roots.
Hence both the roots are negative. (B)
Answer:
Hi Aarav
Your answer in attached below
LoL
Cassidy's diving platform is 6 ft above the water. One of her dives can
be modelled by the equation d = x2 - 7x + 6, where d is her position
relative to the surface of the water and x is her horizontal distance from
the platform. Both distances are measured in feet. How deep did Cassidy
go before coming back up to the surface?
Answer:
Before coming back up to the surface the maximum depth, Cassidy went was 6.25 ft. below the water surface
Step-by-step explanation:
The height of Cassidy's diving platform above the water = 6 ft.
The equation that models her dive is d = x² - 7·x + 6
Where;
d = Her vertical position or distance from the water surface
x = Here horizontal distance from the platform
At Cassidy's maximum depth, we have;
dd/dx = d(x² - 7·x + 6)/dx = 2·x - 7 = 0
x = 7/2 = 3.5
∴ At Cassidy's maximum depth, x = 3.5 ft.
The maximum depth, [tex]d_{max}[/tex] = d(3.5) = 3.5² - 7 × 3.5 + 6 = -6.25
The maximum depth, Cassidy went before coming back up to the surface = [tex]d_{max}[/tex] = -6.25 ft = 6.25 ft. below the surface of the water.
please help me with this question
Answer:
B. 36
Step-by-step explanation:
URGENT PLEASE HELP. I WILL GIVE BRAINLIEST IF CORRECT!!!
Daniel and Audrey are reading the same book. At the beginning of the month, Daniel was on page 49 and Audrey was on page 22. Daniel will read 17 pages per day and Audrey will read 20 pages per day. Let D represent the page of the book that Daniel is on at the end of t days into the month, and let A represent the page of the book that Audrey is on at the end of t days into the month. Write an equation for each situation, in terms of t, and determine what page Daniel and Audrey will be on on the day they are both on the same page.
Answer:
9 days
Step-by-step explanation:
First, write the equation for Daniel's situation:
D = 17t + 49
Then, write the equation for Audrey's situation:
A = 20t + 22
Then, set these equations equal to each other and solve for t to find when they will be on the same page:
17t + 49 = 20t + 22
Solve for t:
17t + 49 = 20t + 22
49 = 3t + 22
27 = 3t
9 = t
So, they will be on the same page 9 days into the month.
3x+4)2−(x−10)2 .
Escolha uma opção:
a. 10x2−4x+116
b. 8x2−4x−84
c. 8x2+44x−84
d. 8x2−44x−84
e. 8x2+116
Given:
Expression is
[tex](3x+4)^2-(x-10)^2[/tex]
To find:
The simplified form of the given expression.
Solution:
We have,
[tex](3x+4)^2-(x-10)^2[/tex]
Using [tex](a+b)^2=a^2+2ab+b^2[/tex] and [tex](a-b)^2=a^2-2ab+b^2[/tex], we get
[tex]=(3x)^2+2(3x)(4)+(4)^2-[(x)^2-2(x)(10)+(10)^2][/tex]
[tex]=9x^2+24x+16-[x^2-20x+100][/tex]
[tex]=9x^2+24x+16-x^2+20x-100[/tex]
On combining like term, we get
[tex]=(9x^2-x^2)+(24x+20x)+(16-100)[/tex]
[tex]=8x^2+44x+(-84)[/tex]
[tex]=8x^2+44x-84[/tex]
Therefore, the correct option is c.
Can someone help me with letter D?
Answer:
1.5 times greater because the ratio of triangle ABC to triangle DEF is 2:3
Step-by-step explanation:
Answer:
1.4 times is the correct answer
what is the linear equation for this graph? (y=mx+b)
Answer:
y = -3x - 3
Step-by-step explanation:
the y-intercept is -3 as shown in the graph, so, b = -3
if you count, the rise is 3 and the run is -1, so the slope will be -3/1
-3/1 equals to -3
y = -3x - 3
Answer:
y = –3x – 3
Step-by-step explanation:
m = the slope which is 3/1, or 3. Since the line is going from the bottom right corner to the top left, it is a negative slope so –3.
b = the y-intercept which is –3.
So,
y = –3x – 3
One number exceeds the other by 9 and their sum is 81. Find the
numbers.
Answer:
36, 45
Step-by-step explanation:
Using equations you get [tex]x + x+9=81[/tex] because one number is 9 more than the other and the sum is 81. Simplifying you get, [tex]2x = 72[/tex]. Divide both sides by 2 to get [tex]x=36[/tex]. Remember this is only x so to get the other number you have to add 9 to 36 to get 45 as the other number.
Please answer ASAP will give brainliest. Given N is the midpoint of MO, find the length of MO.
MO= x units
(5 is not correct)
Answer:
MO = 22 units
Step-by-step explanation:
To solve this problem, you have to set the equations equal to each other. Since we are given that N is the midpoint, MN and NO are going to be equal to each other.
Set them equal and solve for x:
2x+3 = 3x-1
Subtract 2x from the right to get the variable on one side and add 1 to the right side.
4 = x
Now that we know what x is, you can plug it into the equation and add them together
2(4)+3 = 11
3(4)-1 = 11
11+11 = 22
Hope this helps :)