Sydney cabs charge $3.60 Flag Fall plus $2.19 per km. (a) write down an equation to calculate the cost ,C, of cab fare for a distance of kilometers. (b) use your equation to calculate the cost of cab fare for a distance of 15 km
Answer:
C=2.19km+3.60
Step-by-step explanation:
If you traveled 15 km it would cost 36.45.
Have a nice night! (^-^)
What will be the slope for (3,3) and (1,3)
Which of the following companies offers the greatest total employment compensation? Company A Company B Company C Company D Gross Pay $37,600 $36,800 $38,100 $39,000 Paid insurance $2,800 $2,400 $2,100 $1,800 Paid time off $3,100 $3,600 $2,900 $2,500 Job expenses $1,200 $600 $300 $800 a. Company A b. Company B c. Company C d. Company D Please select the best answer from the choices provided A B C D
Answer:
b
Step-by-step explanation:
Ed2021
Company C offers greatest total employment compensation since, it has least job expenses as compared to the other three and comparatively good gross pay. Therefore, option C is the correct answer.
What is the net pay?Net pay means take-home pay or the amount employees earn after all payroll deductions are subtracted from their gross pay.
Company A
Gross pay=$37,600, Paid insurance=$2800, Paid time off =$3,100, Job expenses = $1,200
Company B
Gross pay=$36,800, Paid insurance=$2,400, Paid time off =$3,600, Job expenses = $600
Company C
Gross pay=$38,100, Paid insurance=$2,100, Paid time off =$2,900, Job expenses = $300
Company D
Gross pay=$39,000, Paid insurance=$1,800, Paid time off =$2,500, Job expenses = $800
Company C offers greatest total employment compensation since, it has least job expenses as compared to the other three and comparatively good gross pay.
Wherever in all other cases that is in gross pay, paid insurance, paid off company C is not that much legging behind
Company D has greatest gross pay but has greatest expense also
Company A is at second position in paying but also at 2nd in expenses.
Company B is least payer but do not have least expenses.
Company C offers greatest total employment compensation since, it has least job expenses as compared to the other three and comparatively good gross pay. Therefore, option C is the correct answer.
To learn more about the net pay visit:
https://brainly.com/question/14690804.
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Generate an equivalent expression for:
5(2x+3y)
plz asap also not a like high school answer i need this for a flip grid for class so please awnser quick I WILL GIVE BRAINIEST
Answer:
the answer is equal to 10x+15y
(x-5) divided by (x^2+3x-40)
Answer:
1/ x +8
*The 1 over x + 8
Answer:
[tex]\frac{1}{x+8}[/tex]
Step-by-step explanation:
Here is your original equation:
[tex]\frac{x-5}{x^{2} +3x-40}[/tex]What we need to focus on is simplification, specifically simplifying the denominator. First, let's isolate the denominator (we'll get back to [tex]x-5[/tex] later):
[tex]x^{2} +3x-40[/tex]
Next, we take a look at -40. Our goal is to find what factors of 40 create a sum of 3 so we can separate the equation for polynomial division.
Let's begin building our expressions. We know that [tex]x^{2}[/tex] has an exponent of 2. When variables are multiplied, the exponents are added, meaning that [tex]x*x=x^{2}[/tex]. (Or [tex]x^{1} + x^{1} =x^{2}[/tex] , the 1s just don't show)
We can also see that -40 is a negative number. A negative multiplied by a positive makes a negative product, so we can also include one positive and one negative in each expression.
[tex]x^{2} +3x-40 = (x+)(x-)[/tex]
Next, let's look at the factors of 40:
1 and 40 2 and 20 4 and 10 5 and 8
Which of these factors can make a sum of 3? Remember that one number has to be positive and the other has to be negative!
[tex]8-5=3[/tex]In this instance, our positive number is 8 and our negative number is 5. They create the sum of 3 that we're splitting in [tex]3x[/tex]. Therefore, [tex]8(-5)=-40[/tex].
[tex]x^{2} +3x-40 = (x+8)(x-5)[/tex]Now let's go back to our original equation and substitute our old expression with the new one:
[tex]\frac{x-5}{(x+8)(x-5)}[/tex]Do you notice that the numerator and part of the denominator are equal? This means that they can cancel each other out! Think of it as a [tex]\frac{1}{1}[/tex].
[tex]\frac{x-5}{(x+8)(x-5)}[/tex] = [tex]\frac{1}{x+8}[/tex]Therefore, your simplified answer is [tex]\frac{1}{x+8}[/tex] !
Here's the whole process:
[tex]\frac{x-5}{x^{2} +3x-40} \\\\(x+?)(x-?)\\\\40:\\1, 40\\2, 20\\4, 10\\5, 8\\\\8-5=3 \\(8x-5x=3x)\\\\(x+8)(x-5)\\\\\frac{x-5}{(x+8)(x-5)}=\frac{1}{x+8} \\\\\frac{1}{x+8}[/tex]
To check your answer, confirm your expressions using the box method attached.
I hope this helps! If you have any more questions or concerns about the answer or the process, let me know!
La empresa Computec se dedica a la producción de calculadoras, donde el costo de producir cada una es de $120 y los costos fijos semanales son de $15000. Además, la empresa vende cada calculadora al precio de $20. ¿Cuántas calculadoras debe producir y vender la empresa para obtener una utilidad semanal de $16?
Answer:
Unidades a vender= 388
Step-by-step explanation:
Dada la siguiente información:
Costo variable unitario= $120
Costo fijo= $15,000
Precio de venta= $200
Utilidad deseada= $16,000 (supongo)
Para calcular el número de unidades a vender, tenemos que usar está formula:
Unidades a vender= (costo fijo +utilidad deseada) / contribucíon marginal
Unidades a vender= (15,000 + 16,000) / (200 - 120)
Unidades a vender= 388
can i get some help please
EXTRA POINTS PLEASE HELP I NEED IT WITHIN 1 HOUR I WILL MARK BRAINLIEST TYSM :)
You can just type it, you don't need to write it out on paper. You can if you want to though :)
Answer:
Step-by-step explanation:
1). segment AB ≅ segment CD 1). Given
2). segment FA ≅ segment EC 2). Given
3). ΔABF ≅ Δ DCE 3). HL
4). segment BF ≅ segment DE 4). Corresponding parts of congruent Δs
5). segment EF ≅ segment EF 5). Reflexive property
6). ΔDAF ≅ ΔBCE 6). SAS postulate
7). segment AD ≅ segment CB 6). corresponding sides of congruent Δs
I used word segment instead of dash above the letters.
A skydiver with an open parachute descends at a constant speed. The altitude of the skydiver changes by -144 feet in 6 seconds
Answer:
-24
Step-by-step explanation:
If you decend -144 feet in 6 seconds, by 10 to get what you descend in 60 seconds= -1440. Then divide -1440 by 60 to get -24 feet each second.
Answer:-24
Step-by-step explanation:
If you decend -144 feet in 6 seconds, by 10 to get what you descend in 60 seconds= -1440. Then divide -1440 by 60 to get -24 feet each second.
Write with fractional exponents. 6^5 square root x^2 y
Answer:
6xy^2/5 what im assuming is right
Step-by-step explanation:
help please
What is the image of (-1,-8) after a reflection over the y-axis?
Answer:
(1, -8)
Step-by-step explanation:
You're going over the y axis which is along the x axis. So if you were to reflect across the y axis, the x point would be turned to opposite (1)
CJ earned a score of 75% on his math quiz each question on the quiz worth one points in CJ got 18 question correct how many questions were on the quiz
Answer: 24 questions
Step-by-step explanation:
Let the number of questions on the quiz be represented by x. This means that 75% of x equals 18. We need to calculate x. This will be:
75% × x = 18
75/100 × x = 18
0.75 × x = 18
0.75x = 18
x = 18/0.75
x = 24
The quiz has 24 questions.
For the function f(x) = 3(x - 1)2 + 2, identify the vertex, domain, and range.
The vertex is (1, 2), the domain is all real numbers, and the range is y> 2.
The vertex is (1, 2), the domain is all real numbers, and the range is y < 2.
O The vertex is (-1, 2), the domain is all real numbers, and the range is y> 2.
The vertex is (-1,2), the domain is all real numbers, and the range is ys 2.
Answer:
8
Step-by-step explanation:
Answer:D is incorrect
If the width and length of a rectangle are both increased by 10%, by what percent does the area of the rectangle increase?
By what percent does the perimeter of the rectangle increase?
Answer:
10%
Step-by-step explanation:
We know Perimeter of rectangle
= 2 (Length + Width)
If width and length are increased by 10%
New length= L + 10/100L = (1.1) L
New width = W + 10/100W = (1.1) W
Perimeter = 2 [(1.1) L + (1.1) W]
Perimeter = 2 (1.1) (L + W)
Perimeter = (2.2) (L + W)
Increase in perimeter = 2.2 (L + W) - 2 (L + W)
The increase in Perimeter = 0.2 (L + W)
Percent increase
= 0.2 (L + W)/2 (L + W) × 100
= 0.2/2 × 100
= 0.1 × 100
= 10%
I hope this helped and if it did, please mark as Brainliest.
WILL GIVE BRAINLIEST!!!! I just need the answer not a detailed explanation. Answer within 2 mins for brainliest.
Rewrite the expression with rational exponents as a radical expression by extending the properties of integer exponents. two to the three fourths power, all over two to the one half power
the eighth root of two to the third power
the square root of two to the three fourths power
the fourth root of two
the square root of two
Answer: ₄√2
Step-by-step explanation:
A vertical stick 12 m long casts a shadow 8 m long on the ground. At the same time a tower casts the shadow 40 m long on the ground. The height of the tower is : *
Answer:
60m tall
Step-by-step explanation:
Since this is a ratio problem and we are given 3 values and 1 unknown then we can use the Rule of Three to calculate the height of the tower which we will refer to as x. The Rule of Three simply multiplies the diagonal values and divides by the third value in order to get the missing unknown like so...
12m height <======> 8m shadow
x height <======> 40m shadow
(40m * 12m) / 8m = 60m height
Finally, we can see that the height of the tower is 60m tall.
-2x^2– 196 = 0
What is the discriminate?
Answer:
-784
Step-by-step explanation:
Which one is right *Will make BRAINLEST*
Answer:
The correct answer is:
Option A: [tex](14.\frac{1}{7})\frac{2}{5}[/tex]
Step-by-step explanation:
Associative property is applied on three numbers which states that when two numbers are being added or multiplied the order of addition and multiplication doesn't matter i.e. the answer is same.
If a,b and c are three numbers then associative property for multiplication can be given as:
a.(b.c) = (a.b).c
The given expression is:
[tex]14(\frac{1}{7}.\frac{2}{5})[/tex]
Applying the associative property for multiplication we get
[tex](14.\frac{1}{7})\frac{2}{5}[/tex]
Hence,
The correct answer is:
Option A: [tex](14.\frac{1}{7})\frac{2}{5}[/tex]
Write the equation for f(x)=x^2
But flipped over the x-axis, shifted 4 units down, and shifted 1 unit to the left.
Will give brainliest for best answer :) tysm! <3
Answer:
[tex]f^\prime(x)=-(x+1)^2-4[/tex]
Step-by-step explanation:
We have the function:
[tex]f(x)=x^2[/tex]
And we want to write its equation after being: 1) Flipped over the x-axis, 2) shifted 4 units down, and 3) shifted 1 unit to the left.
To denote a flip over the x-axis, we multiply the function by -1. Hence:
[tex]f^\prime(x)=-x^2[/tex]
Is our function flipped over the x-axis.
To shift n units vertically, we simply add n to our function.
Since we are going 4 units downwards, we will add -4 to our function. Hence:
[tex]f^\prime(x)=-x^2-4[/tex]
Finally, to shift n units horizontally, we substitute our variable [tex]x[/tex] for [tex](x-n)[/tex].
Since we are shifting 1 unit to the left, n=-1. Hence, we will substitute [tex]x[/tex] for [tex](x+1)[/tex]. Therefore:
[tex]f^\prime(x)=-(x+1)^2-4[/tex]
So, our final function is:
[tex]f^\prime(x)=-(x+1)^2-4[/tex]
The average of four numbers 30.5. three of the numbers are 24.2, 14.5, 50.5
what is the fourth number?
Answer:
32.8
Step-by-step explanation:
The average is calculated as
average = [tex]\frac{sum}{count}[/tex]
let x be the fourth number, then
[tex]\frac{24.2+14.5+50.5+x}{4}[/tex] = 30.5 ( multiply both sides by 4 )
89.2 + x = 122 ( subtract 89.2 from both sides )
x = 32.8
Thus the fourth number is 32.8
Write the slope intercept form of the line that goes through points (5,6) and (2, 15)
Answer:
[tex]slope \: = \frac{y2 - y1}{x2 - x1 } \\ slope = \frac{15 - 6}{2 - 5} \\ slope = \frac{9}{3} [/tex]
olve for x. 4x – 34 = 8x + 6 *
Solve for x. 4(-x + 1) + 4 = 6x + 10 *
How many solutions does this equation have? 2x + 7 = 4x - 10 *
No solutions
Infinitely many solutions
One solution
How many solutions does this equation have? -3x + 12 = 12 - 3x *
No solutions
Infinitely many solutions
One solution
How many solutions does this equation have? 5x + 10 = 5x - 23 *
No solutions
Infinitely many solutions
One solution
Answer:
no sloution
Step-by-step explanation:
120% is 24 whats the answer and how?
Answer:
Step-by-step explanation:
So the answer is 20.
24 ÷120%=24÷(120÷100)=(100 x 24) ÷120=2,400÷120=20
Hope this helps ∞<3
What is the inverse of the function f(x) = 2x - 10?
Answer:
[tex]\huge\boxed{f^{-1}(x)=\dfrac{1}{2}x+5}[/tex]
Step-by-step explanation:
[tex]f(x)=2x-10\to y=2x-10\\\\\text{exchange x to y and vice versa}\\\\x=2y-10\\\\\text{solve for}\ y\\\\2y-10=x\qquad|\text{add 10 to both sides}\\\\2y-10+10=x+10\\\\2y=x+10\qquad|\text{divide both sides by 2}\\\\\dfrac{2y}{2}=\dfrac{x}{2}+\dfrac{10}{2}\\\\y=\dfrac{1}{2}x+5[/tex]
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
12x + 9y = -45
Answer:
y=[tex]-\frac{4}{3}[/tex]x -5
Step-by-step explanation:
9y=-12x-45
y=-12/9x-5
y= -4/3x-5
D'Andrea and Eden had a sit-up contest. D'Andrea did 176 sit-ups in 4 minutes. Eden did 215 sit-ups in 5 minutes. Which athlete did the most sit-ups per minute?
Answer:
Eden
Step-by-step explanation:
Answer:
it has D'Andrea
Step-by-step explanation:
Because here we are using direct variation and the formula is y=kx and k=y/x. I used k=y/x You divide 176 by 4 and you'll get 44 that's D'Andrea and the you divide 215 by 5 and you get 43 for Eden. you can see you does more sit up
Graph of a diagonal line on a coordinate plane going up and to the right with x-axis and y-axis. Co-ordinates are (0,0) and (2,8).
Answer:
i need the answerrrrr
Step-by-step explanation:
Answer:
Step-by-step explanation:
help me for 20 points
Answer:
because its 5 squared, therefore, the first number can not be a sqaure number
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
5^9
The power is an odd number
To be a perfect square, the power has to be an even number
James is buying a pair of jeans that cost $39.99.If the price is discounted 40%,and the sales tax is 8%,what will James pay for the jeans?
Answer:
1.28
Step-by-step explanation:
plz mark brainlyest
A clerical worker takes 2 times as long to finish a job as it does an executive secretary. Working together, it takes them 6 hr to finish the job. How long would it take the clerical worker, working alone, to finish the job?
Answer:
18 hoursStep-by-step explanation:
This problem is on Combined work rate
Step one:
given data
let the secretary take x hours to finish one job
so the clerical worker will take 2x hours to finish one job.
Both of them working together will take 6 hours
Step two:
The combined work formula is
T/A+T/B=1
Where T= time working together
A= time the Clerical worker spent alone
B= time the secretary spent alone
substituting we have
6/2x+6/x=1
solve for x
6+12/2x=1
18/2x=1
9/x=1
cross multiply
x=9 hours
the clerical worker take 2x hours
2*9= 18 hours
