=======================================================
Work Shown:
x = number of miles
2x = cost of traveling x miles, at $2 per mile, without including the $3 fee
2x+3 = total cost now including the $3 entrance fee, without tip
2x+3+1 = total cost plus $1 tip
2x+4 = amount you spent
2x+4 = 20
2x = 20-4
2x = 16
x = 16/2
x = 8
You traveled 8 miles.
Hey there! I'm happy to help!
Let's represent the number of miles traveled with the variable m.
We see that it will cost $2 for every mile, so for if we drive 8 miles, it will cost $16, 9 will be $18, and so forth. So the relationship is that the cost will be double the money, so what we have here is 2×m. In algebra, you can simply write variable multiplication as just putting the numbers next to each other, so 2m will be that part of the equation.
We see that the initial cost of the taxi is $3.
3
We are going to be adding our $2 per mile to this amount (2m).
3+2m
And we will add our $1 tip.
3+2m+1
And this is equal to $20.
3+2m+1=20
We can combine the 3 and the 1 to give us 4.
4+2m=20
So, we see that 2m+4 is equal to 20. If we subtract that four from 20, we will see that 2m is equal to 16.
We remember that our cost from mileage is double the miles, so if 16 is double something, we just divide by two!
16/2=8
So, this means that we traveled 8 miles!
Have a wonderful day and keep on learning! :D
solve the equation
5(2x + 8) = - 33 +53
Answer:
5(2x + 8) = –33 + 53
10x + 40 = –33+53
10x= –33+53–40
10x = –20
x = –20/ 10
x = – 2
I hope I helped you^_^
The typing speeds for the students in a typing class is normally distributed with mean 44 words per minute and standard deviation 6 words per minute. What is the probability that a randomly selected student has a typing speed of less than 38 words per minute
Answer:
15.87%
Step-by-step explanation:
*Probability-Below 15.87%
Z1=-1
*x-1 38
*µ 44
*σ 6
The probability that a randomly selected student has a typing speed of less than 38 words per minute is 15.87%.
What is z-score?The Z-score, or standard score, is the number of standard deviations a given data point lies above or below mean.
Formula for z-scorez = (x -μ)/σ
Where,
Z is standard score.
x is observed value.
μ is mean of the sample.
σ is standard deviation of the sample.
What is probability?The area under the normal distribution curve represents probability.
According to the given question.
Mean, μ = 44
Standard deviation, σ = 6
Observed value, x = 38
Therefore, z-score = [tex]\frac{38-44}{6}= -1[/tex]
So, the are P(z > -1) = 15.87%
Hence, the probability that a randomly selected student has a typing speed of less than 38 words per minute is 15.87%.
Find out more information about z-score and probability here:
https://brainly.com/question/25638875
#SPJ2
What is the area of a rectangle with a length of 5 cm and a width of 3 cm
Hi there!
»»————- ★ ————-««
I believe your answer is:
15cm²
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Area of a rectangle is:}}\\\\A = l * w\\----------------\\\rightarrow L = 5; w = 3\\\\\rightarrow A = 5 * 3\\\\\rightarrow A = \boxed{15cm^2}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
7 is the bracket from the quotient of 48 divided by the sum of 5 and difference of 11 and 8
1Use the Zero Product Property to solve for x.
a. (x +13)(x - 7) = 0
b. (2x+ 3)(3x - 7) = 0
C. x(x-3) = 0
d. x^2 – 5x = 0
e. x^2 – 2x – 35 = 0
f. 3x^2 + 14x - 5 = 0
a. x + 13 = 0
x = -13
x-7= 0
x= 7
b. 2x +3 = 0
2x = -3
x= -3/2 or -1.5
3x -7 = 0
3x = 7
x = 7/3
c. x = 0
or x = 3
these you have to change it into that form first
d. x= 5
or x = 0
e. x= 7
or x = -5
f. x = 1/3 or -5
y=–6x+2
–12x – 2y=–4
How many solutions does this linear system have?
one solution: (0, 0)
one solution: (1, –4)
no solution
infinite number of solutions
Answer:
infinite number of solutions
Step-by-step explanation:
-12x - 2y = -4.
add 12x on both sides
-2y = 12x -4.
divide by -2
y = -6x + 2
Answer: D. Infinite number of solutions.
Step-by-step explanation: On Edge!
6 3/4 yards of fabric per 3 costumes. how many yards do i need for 7 costumes
Finds how much is needed for 1 costume by dividing 6 3/4 by 3
6 3/4 /3 = 2 1/4 yards per costume.
Multiply yards per costume by 7:
2 1/4 x 7 = 15 3/4 yards total needed.
[tex]\\ \rm\hookrightarrow 6\dfrac{3}{4}yards=3costumes[/tex]
1costume[tex]\\ \rm\hookrightarrow \dfrac{27}{4}\div 3[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{27}{4}\times \dfrac{1}{3}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{27}{7}yards[/tex]
7costumes[tex]\\ \rm\hookrightarrow \dfrac{27}{7}\times 7[/tex]
[tex]\\ \rm\hookrightarrow 27yards[/tex]
Identify the problem with the following study. A local newspaper published the results of a study that claimed "482 people use the public library". The study was produced by using a random sample of 87 people from the town
Answer:
well, only 87 people were asked. How did they get 482?
also, they should have asked the people in the library.
Which unit is the best for measuring the distance between two cities?
O gram
O kilogram
O centimeter
O kilometer
The best unit for measuring the distance between two cities is kilometer.
An object travels back and forth along a straight line. Its velocity, in centimeters per second, is given by the
function v(t)
= 13 sin(pi/(45)t), where t is time in seconds.
What is the maximum velocity of the object?
O 0 cm/s
O 13 cm/s
O 26 cm/s
O 90 cm/s
A function in mathematics is a relation between two sets such that each element of the first set is matched to exactly one of the second set element
The correct option for the maximum velocity of the object is the option;
13 cm/s
The reason for the selection is as follows:
The known parameters of the motion of the vehicle are:
The type motion of the vehicle = Repetitive back and forth
The path of the motion of the object = Along a straight line
The function that gives the velocity in centimeters per second (cm/s) is given as follows;
[tex]v(t) = \mathbf{13 \cdot sin \left(\dfrac{\pi}{45} \cdot t \right)}[/tex]
Where;
t = The time in seconds (a set of the input variables of the function)
v(t) = The velocity of the object (the output variables of the function)
The velocity of the object, v(t), depends (is given by) on the time t, therefore;
The maximum velocity is given at a particular value of t, which together with [tex]\dfrac{\pi}{45}[/tex] is operated by the sine function
The maximum output value of the sine function = 1, therefore;
[tex]\mathbf{Maximum \ value \ of \ sin \left(\dfrac{\pi}{45} \cdot t \right)_{max}} = 1[/tex]
[tex]The \ maximum \ velocity \ v(t)_{max}} = 13 \times sin \left(\dfrac{\pi}{45} \cdot t \right)_{max} = 13 \times 1 = \mathbf{ 13}[/tex]
The units of the of the function is cm/s
Therefore, the maximum velocity of the object is 13 cm/s
Learn more about functions here:
https://brainly.com/question/23999020
Answer: B. 13 cm/s
Step-by-step explanation:
a.) The median player salary for the New York Yankees was $1.5 million in 2007 and $1.7 million in 2013. Write a linear equation giving the median salary y in terms of the year x. (Let y be in millions of dollars and let
x = 7
represent 2007.)
b.) Use the equation to predict the median salary in 2048. (Round your answer to one decimal place.)
$ million
A general linear equation is given by:
[tex]y = a*x + b[/tex]
Where a is the slope and b is the y-intercept.
Here we will find that the linear equation that represents the situation is
[tex]y = 0.033*x + 1.269[/tex]
And we can expect that the median salary in 2048 is $2.853 million
If the line passes through the points (x₁, y₁) and (x₂, y₂) then the slope can be written as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Here we know that:
in 2007 (x = 7) the median player salary was y = $1.5 million
in 2013 (x = 13) the median player salary was y = $1.7 million.
Then we have two points that we can write as:
(7, 1.5)
(13, 1.7)
Note that the y-value is in millions.
Then the slope of the linear equation will be:
[tex]a = \frac{1.7 - 1.5}{13 - 7} = 0.033[/tex]
So the linear equation is something like:
[tex]y = 0.033*x + b[/tex]
To find the value of b, remember the point (7, 1.5), this means that when we have x = 7, we also have y = 1.5, then we can replace these in the above equation:
[tex]1.5 = 0.033*7 + b\\\\1.5 - 0.033*7 = b = 1.269[/tex]
Then the linear equation is:
[tex]y = 0.033*x + 1.269[/tex]
b) Now we want to predict the median salary in 2048. For 2048 the x-value is x = 48
So we just need to evaluate this in the linear equation:
[tex]y = 0.033*48 + 1.269 = 2.853[/tex]
Then the median salary in 2048 will be $2.853 million
If you want to learn more, you can read:
https://brainly.com/question/1189779
(4x – 5)(7 – 2x) – (2x + 2)(2 – 4x)= -1
Answer: x= 19/21.
Step-by-step explanation:
We can expand the expression to:
28x - 8x^2 - 35 + 10x -4x + 8x^2 - 4 + 8x = -1
We can then cancel the - 8x^2 and the + 8x^2 and simplify further by adding like terms:
38x - 35 + 4x -4 = -1 --> 42x - 39 = -1
We can then add 39 on both sides:
42x = 38
We can then divide both sides by the GCF (greatest common factor), 2:
21x = 19
We divide both sides by 21:
x = 19/21
find the radius of a circle that has an area of 803.84 cm squared
Answer:
Radius = 16
Step-by-step explanation:
Area = πr²
803.84 = 3.14(r²)
256 = r²
√256 = 16
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
What is the inverse of the function f(x) = 3x – 2?
f-1(x) =
Answer:
[tex] \frac{x + 2}{3} [/tex]
Step-by-step explanation:
Replace y with f(x).
[tex]y = 3x - 2[/tex]
Swap x and y and solve for y
[tex]x = 3y - 2[/tex]
[tex]x + 2 = 3y[/tex]
[tex] \frac{x + 2}{3} = y[/tex]
Factorise
Please with full method
[tex]\boxed{\sf (a-b)^3=a^3-3a^2b+3ab^2-b^3}[/tex]
[tex]\\ \sf\longmapsto 64a^3-(b-c)^3[/tex]
[tex]\\ \sf\longmapsto 64a^3-(b^3-3b^2c+3bc^2-c^3)[/tex]
[tex]\\ \sf\longmapsto 64a^3-b^3+3b^2c-3bc^2+c^3[/tex]
[tex]\\ \sf\longmapsto 64a^3-b^3+c^3+3b^2c-3bc^2[/tex]
Answer:
Step-by-step explanation:
[tex]Remember:\\\\\boxed{x^3-y^3=(x-y)(x^2+xy+y^2)}\\\\64a^3-(b-c)^3\\\\=(4a)^3-(b-c)^3\\\\=(4a-(b-c))(16a^2+4a(b-c)+(b-c)^2)\\\\=(4a-b+c)(16a^2+4ab-4ac+b^2-2bc+c^2)\\[/tex]
please help
answer choices are:
A. 46°
B. 67°
C. 115°
D. 134°
Answer:
134°
Step-by-step explanation:
∠BAC = ∠BCA because it is an isosceles triangle
∠XCA = ∠XAC . Congruent angles
∠XAC = 1/2(46) = 23° . because CE bisects ∠ C
∠XCA = 23°
180° - 23° - 23° = 134° . Sum of all angles in a triangle is 180°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
9. Select one of the factors of 3x + 4x -4.
(x+4)
b. (3x+2)
a.
c.
(3x-2)
a (x-2)
Answer:
hi
Step-by-step explanation:
mad
What is the sum of 5 numbers whose average is 5 more than 5?
Answer:
The sum of 5 numbers with an average of 5 more than 5 is 50
Step-by-step explanation:
Let the first five letters of the alphabet be equal to the 5 numbers being summed.
Let the average be represented by the following equation:
[tex]\frac{a + b + c + d + e}{5} = 10[/tex]
To find the sum, we should get rid of the denominator. To do that we multiply 5 on both sides
[tex]\frac{a + b + c + d + e}{5} (5) = 10(5)\\a + b + c + d + e = 50[/tex]
Therefore, we see to it that the sum of the 5 numbers is 50.
With 4 weeks remaining in the season, Lisa has 31 more homeruns than Mark. If Mark is to hit more homeruns than Lisa, he must average at least how many more homeruns per week than Lisa?
Answer:
31/4
= 7.75
So Mark has to average more than 7.75 homeruns per week.
Step-by-step explanation:
Mark me as brainliest.
i need help ;^; pleeeeease
Answer:
[tex] - 9 \sqrt{48} - 8 \sqrt{12} \\ = - 9 \times 4 \sqrt{3} - 8 \times 2 \sqrt{3} \\ = - 36 \sqrt{3} - 16 \sqrt{3} \\ = \sqrt{3} ( - 36 - 16) \\ = \sqrt{3} \times - 52 \\ = - 52 \sqrt{3} \\ thank \: you[/tex]
The factorization of a (x + y + z) + b(x + y + z) + c(x + y + z) is
pls answer maheshsinghmeenu sister
Answer:
(a+b+c) (x+y+z)
Step-by-step explanation:
hope this helps to uh
Step-by-step explanation:
x+y+z+bx+by+bz+cx+cy+cz
Take Like terms
x+bx+cx+y+by+cy+z+bz+cz
x(b+c)+y(b+c)+z(b+c)
(x+y+z)(b+c)
hope it helps
Please help ill mark brainliest dont forget explanation too please
Solve the following equation:
14a – (2a + 9) = {(12a - 18)
a =
Answer:
no solution
Step-by-step explanation:
14a – (2a + 9) = (12a - 18)
Distribute the minus sign
14a – 2a - 9 = (12a - 18)
12a -9 = 12a -18
Subtract 12a from each side
12a -9-12a = 12a-18-12a
-9 = -18
This is not a true statement so there is no solution
A cell phone company charges $300 for a new phone and $40 for a monthly plan. If C (t) is a rational function that represents the average monthly cost of owning the cell phone, what is the range of the function?
R: ℝ
R: (0, 300)
R: (40, 340)
R: (–∞, ∞)
Answer:
The $300 charge will last until the new phone is paid off. After that the monthly charge will be $40 only.
The range of the function will be between $40 and $340:
R:[40, 340]Correct choice is C
Now
[tex]\\ \rm\hookrightarrow \mathbb{R}=(x,y)[/tex]
[tex]\\ \rm\hookrightarrow \mathbb{R}=(40,300)[/tex]
Help anyone can help me do this question,I will mark brainlest.
Your answer is in the attachment .
Note: I have only done upto q.n d because you haven't clearly uploaded question of no. e. stay blessed !!!!!!
Suppose y varies directly as x, and y = 9 when x = 36. Find y when x= 100.
Answer:
25
Step-by-step explanation:
let x = 36
y = 9
x2 = 100
y2 = y2
y : x :: y2 : x2
We know,
Product of means = Product of extremes
That is,
y(x2) = x(y2)
Substituting the values,
9(100) = 36(y2)
=> 36(y2) = 900
=> y2 = 900/36
=> y2 = 25
so when x = 100, y =25
WILL GIVE BRAINLIEST TO WHOEVER CAN SHOW UR WORK:
89.9cm to m.
Answer:
give brainliest please I need it to level up
Step-by-step explanation:
divide the value in centimeters by 100 because 1 meter equals 100 centimeters.
So, 89.9 centimeters = 89.9÷ 100 = 0.899 meter.
Solve the equation -2x = -3x + 14
Evaluate the expression x² - 3y + 12 for x and y = 5
#1
[tex]\\ \sf\Rrightarrow -2x=-3x+14[/tex]
[tex]\\ \sf\Rrightarrow -2x+3x=14[/tex]
[tex]\\ \sf\Rrightarrow x=14[/tex]
#2
[tex]\\ \sf\Rrightarrow x^2-3y+12[/tex]
[tex]\\ \sf\Rrightarrow 5^2-3(5)+12[/tex]
[tex]\\ \sf\Rrightarrow 25-15+12[/tex]
[tex]\\ \sf\Rrightarrow 10+12[/tex]
[tex]\\ \sf\Rrightarrow 22[/tex]
what are the Properties of real numbers for 6425
Step-by-step explanation:
Properties of the number 6425
Factorization5 * 5 * 257Square root80.156097709407Natural logarithm8.7679519097634Decimal logarithm3.8078731320033Sine-0.42867294834975
Helllllpppppppp!!!!!
Answer: The correct answer is C
Step-by-step explanation:The graph is horizontally stretched by a factor of 1/5 because you are literally multiplying x by 1/5. So, your answer is C. Hope it makes sense. mark me brainlest
