Answer:
You did not include the price they bought the units at.
I will assume this price is $5.
= 5 * 1,000
= $5,000
Recording it will be:
Account Debit Credit
Merchandise Inventory $5,000
Accounts Payable $5,000
The length of a rectangle is 2 cm more than
3 times its width. Its area is 85 cm?. Find the
dimensions of the rectangle.
Answer:
Width of rectangle = 5 cm
Length of rectangle = 17 cm
Step-by-step explanation:
Let the dimensions of rectangle:
Width of rectangle = x
Length of rectangle = 3x+2
Area of rectangle = 85 cm
We need to find dimensions of rectangle i.e length and width.
The formula used is: [tex]Area\:of\:rectangle=Length\times Width[/tex]
Putting values and finding dimensions
[tex]Area\:of\:rectangle=Length\times Width\\85=3x+2 \times x\\85=3x^2+2x\\The\;equation\:will\:be:\\3x^2+2x-85=0[/tex]
Now, finding value of x using quadratic formula:
[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
We have, a =3, b =2 and c=-85
[tex]x=\frac{-2\pm \sqrt{(2)^2-4(3)(-85)}}{2(3)}\\x=\frac{-2\pm \sqrt{4+1020}}{6}\\x=\frac{-2\pm \sqrt{1024}}{6}\\x=\frac{-2\pm 32}{6}\\x=\frac{-2+ 32}{6}\:or\:x=\frac{-2- 32}{6}\\x=5\:or\:x=-5.6[/tex]
So, we get x = 5 and x = -5.6
But since the width of rectangle cannot be negative so, we would consider x = 5
Now, the dimensions of rectangle will be:
Width of rectangle = x = 5 cm
Length of rectangle = 3x+2 = 3(5) + 2 = 15+2 = 17 cm
2 4/10 + 3 5/8 = what does it equal
Bill is looking for a job as a gym teacher. he plans to send resumes to 130 schools in his state. Kinko's charges $30 per 100 copies and sells them only in sets of 100.
a. How many copies will bill have to purchase if he is to have enough resumes?
b. how much will the copies cost bill, including the 6% sales tax?
A train travelled 300 kilometres in 5 hours. Find it's rate of speed
Answer:
The train traveled 60 kilometers per hour.
Step-by-step explanation:
300/5=60
Answer:
60 km/hours
Step-by-step explanation:
in the picture above.
Please help it’s urgent !!
Answer:
2 is the correct answer you know it also
Solve for X
If you have 2x+3
Answer:
in the explanation
Step-by-step explanation:
According to the triangle midsegment theorem (if these points are midpoints),
2x + 3 is two times longer than 7, meaning it's 14.
2x+3=14
2x=11
x = 11/2
If there is an option for not enough info given, that should be right as it doesn't actually say that they are midpoints
Using the diagram below, determine what the value of x is. Remember a straight line is 180 degrees and a complete circle is 360 degrees.
Answer:
x= -66
Step-by-step explanation:
The dimensions of an iron box are 9ft * 4.4ft* 2.5ft. What is the cost of the iron sheet used to make the box, if the cost of the sheet is Rs 6 per Square Foot?
Answer:
Rs 877.2
Step-by-step explanation:
The dimensions of an iron box are 9ft * 4.4ft* 2.5ft. What is the cost of the iron sheet used to make the box, if the cost of the sheet is Rs 6 per Square Foot?
The iron box is shaped as a rectangular prism
The formula for the surface area of a rectangular prism is given as:
S = 2(lw + lh + wh)
L = Length = 9ft
W = Width = 4.4ft
H = Height = 2.5 ft
Hence:
Surface area = 2[(9 × 4.4) + (9 × 2.5) +(4.4 × 2.5)]
Surface area = 2[(39.6) + (22.5) + (11)]
Surface area = 2[73.1]
Surface area = 146.2 ft²
From the question:
The cost of the sheet is Rs 6 per Square Foot
1 ft² = Rs 6
146.2 ft² = x
Cross Multiply
x = 146.2 × Rs 6
x = Rs 877.2
The cost of the iron sheet used to make the box is Rs 877.2
Find the solution set to 3(2x - 4) > 2(x + 4)
Answer:
X>5
Step-by-step explanation:
So first distribut the numbers
6x-12>2x+8
now subtrct 2x on both sides
4x-12>8
Now add 12 on both sides
4x>20
x>5
Answer: > 5
Step-by-step explanation: I just know
A computer store buys a computer system at a cost of $487.20. The selling price was first at $812, but
then the store advertised a 30% markdown on the system. Answer parts a and b.
a. Find the current sale price.
The sale price is $0
Round to the nearest cent as needed.)
NEEED HELP ASAP
Answer: a. The sales price $568.40
b.the price for the club members is $511.56
Step-by-step explanation: I have no idea I got it wrong on porpoise to get the correct answer for u
If a car travels 400m in 20seconds how fast is it going?
Donald bought a box of golf balls for $9.31. There were 18 golf balls in the box.
About how much did each golf ball cost? Rename the decimal dividend as a whole number that is compatible with the divisor to estimate the quotient.
Step-by-step explanation:
Cost of each golf ball = $9.31 / 18
≈ $9 / 18 = $0.5.
Answer: 0.5172222222222222
Step-by-step explanation: divide 18 by 9.31
Nelson used 35% of his savings account for his class trip in May. If he used $140 from his savings account while on his class trip, how much money was in his savings account before the trip?
Answer:
$400
Step-by-step explanation:
140 ÷ 35% = 400
Hello someone please help me
Answer:
C = {-5,2,5} answer
Step-by-step explanation:
ccccccc
The polynomial p(x) = 5x^3 – 9x^2 - 6x + 8 has a known factor of (x + 1).
Rewrite p(x) as a product of linear factors.
Answer:
[tex](x+1)(5x-4)(x-2)[/tex]
Step-by-step explanation:
We know that (x+1) is a factor, so we can use synthetic division to factor it out of [tex]5x^3-9x^2-6x+8[/tex].
Once factored, we get [tex](x+1)(5x^2-14x+8)[/tex]
Now all we need to do is factor[tex](5x^2-14x+8)[/tex]
[tex](5x^2-14x+8)=(5x-4)(x-2)[/tex]
This gives us the answer [tex](x+1)(5x-4)(x-2)[/tex].
p(x) as a product of its linear factors is:
[tex]p(x) = (x+1)(x-2)(5x-4)[/tex]
The given polynomial is:
[tex]p(x) = 5x^3-9x^2-6x+8[/tex]
The divisor = x + 1
The division expression can be written as:
[tex]\frac{5x^3 - 9x^2 -6x + 8 }{x+1} \\\\= 5x^2-14x+8[/tex]
Factorize [tex]5x^2-14x+8[/tex]
[tex]5x^2-14x+8\\\\5x^2-10x-4x+8\\\\5x(x-2)-4(x-2)\\\\(5x-4)(x-2)[/tex]
Therefore, p(x) as a product of its linear factors is written as:
[tex]p(x) = (x+1)(x-2)(5x-4)[/tex]
Learn more here: https://brainly.com/question/18818577
Select all the correct answers,
Which relations represent functions?
Answer:
A and C are the correct answer
Step-by-step explanation:
Is the ratio 4.2:1.5 proportional to the ratio 12:5? Explain.
Answer:
No.
Step-by-step explanation:
We can set this proportion up as:
[tex]\frac{4.2}{1.5}=\frac{12}{5}[/tex]
For this to be true, cross-products need to be equal:
[tex]4.2(5)=12(1.5)[/tex],
However, we can see that this is not the case:
[tex]4.2\cdot 5 \neq 12 \cdot 1.5[/tex]
Therefore, these ratios are not proportional.
-1 + 3x< 14 solve the equality
Answer:
x = 5
Step-by-step explanation:
add positive one to both -1 and 14
divide each side by 3
The length of a rectangular park is twice its width.
The park is surrounded by a 3-foot-wide path.
Write a quadratic function to represent the total
area of the park and the path.
Answer:
[tex]A=2x^2+18x+36[/tex]
Step-by-step explanation:
Quadratic Function
It's given the length of a rectangular park is twice its width.
Let's call:
x = width of the rectangular park
2x = length of the rectangular park
The park is surrounded by a 3-foot-wide path. This path adds 3 ft twice to both dimensions, i.e.:
x+3+3=x+6 width of the park and the path
2x+3+3=2x+6 length of the park and the path
The total area is:
A=(x+6)(2x+6)
Operating:
[tex]A=2x^2+6x+12x+36[/tex]
[tex]\boxed{A=2x^2+18x+36}[/tex]
BASIC LEVEL
1. On a sheet of paper, enlarge the following figures
with centre of enlargement E and scale factors each
indicated in brackets.
Plz help
Answer:
hjskkdoododkdkdndndndndndndndnsn sorry I needed points to ask a question
I dont understand this... they do not teach well in my school tbh.
Graph
y−2=23(x+4)
I don’t no how to graph so plz help me
Answer: This file i added shows the graph. If it doesnt help, then you can use M.a.th w.a.y to find the graph
Step-by-step explanation:
The sum of 2 numbers is 38. The grarter number is 8 more than the other number find each number ise a aystem of linear equations to justify your answer
Answer:
x = 23 ; y = 15
Step-by-step explanation:
Given :
Let the numbers be : x and y
x + y = 38 - - (1)
x = y + 8 - - - (1)
Put x = y + 8 into (1)
y + 8 + y = 38
2y + 8 = 38
2y = 38 - 8
2y = 30
y = 30/2
y = 15
x = y + 8
x = 15 + 8
x = 23
the ratio of PHP 504.00to 14liters of gasoline
Answer:
36:1
Step-by-step explanation:
Divide 504 by 14 to get the ratio
What is 3% of 84?
Show work!
the graph shows the number of us passports issued in 2012, 2014, and 2016. find the rate of change between 2012 and 2014. pay attention to the scale of the y-axis
An aeroplane takes off and flies steadily for a distance of 5.6 km at an altitude of 2 km from it's runway . Calculate the angle that it makes with the horizontal
Answer:
The angle the aero plane makes with the horizontal is approximately 20.925°
Step-by-step explanation:
The given parameters are;
The distance the aero plane flies = 5.6 km
The elevation to which the aero plane flies = 2 km
The angle the path of the aero plane as it takes off makes with the horizontal, θ, is the angle opposite the altitude of the right triangle formed by the aero plane's path (the hypotenuse), the horizontal, and the line drawn from the final position of the aero plane, representing the altitude (the opposite leg to angle θ)
By the trigonometric ratio for the sin of the angle, θ, we have;
[tex]sin(\theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length} = \dfrac{2 \ km}{5.6 \ km} = \dfrac{2}{5.6}[/tex]
Therefore, the angle θ the aero plane makes with the horizontal is given as follows;
[tex]\theta = arcsin \left (\dfrac{2}{5.6} \right ) \approx 20.925 ^{\circ}[/tex]
The angle the aero plane makes with the horizontal ≈ 20.925°.
two functions are given below. f(x) =-4x+1 g(x)=-4x+1/2
Answer:
hope this helps
Step-by-step explanation:
x= −1 /4 y + 1 /4
g= −8x+1 /2x
write the first four terms of the arithmetic sequence given a1=-3 and d=-2
BRAINLIEST goes to the right answer.
For the function in the graph, find the values of f(-2), f(2), and f(4).
A. 2;2;1
B. -2; -2; -1
C.-2;2;1
D. -2;2;-1