Answer:
Net price = $191.25
Discount Price = $33.75
Step-by-step explanation:
Cost of one pen = $0.50
Cost of 200 pen = 200 × 0.50 = $100
Cost of one pad =$0.70
Cost of 150 pads = 150 × 0.70 = $105
Cost of one pencil = $0.20
Cost of 100 pencils = $20
Total cost of the order = 100 + 105 + 20 = $225
Discount % = 15% of 225
Discount price = ( 15% × 225) = $33.75
Total amount after discount = 225 - 33.75 = $191.25
Find(g-f)(x)
f(x)=1/x
g(x)=x^2+2x-5
a. 1/x-x^2-2x+5
b.1/x+x^2+2x-5
c.x^2+2x-5-1/x
d.1/x+x^2-5
Answer:
x^2+2x-5 - 1/x
Step-by-step explanation:
f(x)=1/x
g(x)=x^2+2x-5
(g-f)(x) = x^2+2x-5 - 1/x
Answer:
c. x² + 2x - 5 - 1 / x
Step-by-step explanation:
f ( x) = 1 / x.
g ( x) = x² + 2x - 5
so,
( g - f) ( x) = x² + 2x - 5 - 1 / x
Help, please! With workings too!
I'm thinking of a 3-digit number.
When it is divided by 9, the remainder is 3
When it is divided by 2, the remainder is 1
When it is divided by 5, the remainder is 4
What is my number?
3-digit number is abc. ( just call it)
abc= 9d + 3, meaning abc = 3e
abc = 2k + 1, meaning abc is an odd number
abc = 5t + 4, meaning c = 9 ( because abc is an odd number so c can not be 4)
so a+b must be equal 3.
abc can be 309, 219, 129
What is the sum of the series 18 E n=4 (n+1) ^2? 1,239 2,415 2,440 2,469
9514 1404 393
Answer:
(c) 2440
Step-by-step explanation:
The sum of the squares of numbers 1 .. n is ...
s(n) = n(n +1)(2n +1)/6
You want the sum of squares from 5 to 19. We can compute that from ...
s(19) -s(4) = (19(20)(39) -4(5)(9))/6 = (14820 -180)/6 = 2440
Answer:
C. 2440Step-by-step explanation:
hope it helps u too
Using the information in the Box-and-Whisker plot below, what is the minimum value?
A. 5
B. 12.5
C. 20
D. 27.5
Answer:
espero ayudarte ..............❤❤
Answer:
b
Step-by-step explanation:
Solve this math problem 20 points
Answer:
46
Step-by-step explanation:
Diagonals of square are equal, Therefore,
KM=161
JL=4x-23
4x-23=161
4x=161+23
4x=184
x=184/4
x=46
which of the following does not describe a rigid motion transformation
Answer:
The answer to this question is dilating the figure by a scale factor of one half.
Round the following as specified.
153.38519 to the nearest thousandth.
Answer:
153.3852
Step-by-step explanation:
After the decimal, you count the places. 3 is in the ones place, 8 in the tenths, 5 in the hundreths, and 1 in the thousandths. The thousandths place is what we are rounding, so we look at the next number, 9, which tells us to round the 1 up to 2
Answer:
153.385
Step-by-step explanation:
153.38519
153.38519
The digit to the right of the thousandth (the the one, which is bolded) is less than or equal to 4, which means we round down.
153.38519 ≈ 153.385
Hope this helps.
What happens when the multiplicity of a real root is even?
Answer:
Step-by-step explanation:
The multiplicity of a root affects the shape of the graph of a polynomial. Specifically, If a root of a polynomial has odd multiplicity, the graph will cross the x-axis at the the root. If a root of a polynomial has even multiplicity, the graph will touch the x-axis at the root but will not cross the x-axis.
Find the missing angle x. Show your work.
Rafael ate one-fourth of a pizza and Rocco ate one-third of it. What fraction of the pizza did they eat?
They ate
Answer:
7/12
Step-by-step explanation:
They ate 1/4 and 1/3
1/4 +1/3
Get a common denominator
1/4 *3/3 + 1/3 *4/4
3/12 + 4/12
7/12
A mother has 6 sons
Each has a sister
How many people are in the family?
A:13.
B)8.
D)7.
C:14.
A. 13
Explanation= 6 (sons) +6 (daughters) +1 (mother) = 13.
(notes: as a father is not within the problem, there is no reason to be in the answer)
Answer:
B)8
A mother has 6 sons. If there is only one sister, than each son has a sister. Don't forget to add the mother. 6 + 1 + 1
Step-by-step explanation:
If an average-sized man with a parachute jumps from an airplane, he will fall
12.5(0.2t − 1) + 21t feet
in t seconds. How long will it take him to fall 150 feet? (Round your answer to two decimal places.)
Answer:
It will take him 5.85 seconds.
Step-by-step explanation:
12.5 (0.2t - 1) + 21t = 150
Use Distributive Property:
2.5t - 12.5 + 21t = 150
Combine like terms:
23.5t - 12.5 = 150
Subtract 12.5 from both sides:
23.5t = 137.5
Divide both sides by 23.5 to isolate variable t:
5.851063.....
Round to two decimal places (hundredths place):
5.85
Presto Corp. had total variable costs of $180,000, total fixed costs of $110,000, and total revenues of $300,000. Compute the required sales in dollars to break even.
Answer:
$230,000
Step-by-step explanation:
Contribution margin = Sales - Variable costs
=($250,000 - $137,500)
= $112,500
Contribution margin ratio = Contribution margin ÷ Sales
= ($112,500 ÷ $250,000)
= 0.45
Basically
Break-even sales = Fixed expenses ÷ Contribution margin ratio
=($103,500 ÷ 0.45)
= $230,000
The required sales in dollars to break even is $275,000.
Given that, total variable costs of $180,000, total fixed costs of $110,000, and total revenues of $300,000.
What is a total revenue?Total revenue is the total amount of money a company brings in from selling its goods and services. It determines how well a company is bringing in money from its core operations based on demand and price.
The contribution margin ratio = Contribution margin/Sales revenue
= (300,000 - 180,000 = 120,000)/300,000
= 40%
Break-even point in dollars = Fixed cost/Contribution margin ratio
= 110,000/0.40
= $275,000
Therefore, the required sales in dollars to break even is $275,000.
Learn more about the total revenue here:
https://brainly.com/question/29567732.
#SPJ2
What is the surface area of a square pyramid if the base has an area of 16 cm2 and the lateral faces have a slant
height of 12 cm?
O 112 cm
O 208 cm2
O 400 cm?
O 640 cm
Answer:
640
Step-by-step explanation:
pleas check my answer
Answer:
112
Step-by-step explanation:
If you add all the triangle faces and the square.
What’s the solution
Answer:
x ≥ 12
Step-by-step explanation:
-3/4x +2 ≤ -7
Subtract 2 from each side
-3/4x +2-2 ≤ -7-2
-3/4x ≤ -9
Multiply each side by -4/3, remembering to flip the inequality
-3/4x * -4/3 ≥ - 9 *(-4/3)
x ≥ 12
Answer:
x>=12
Step-by-step explanation:
-3/4x + 2<=-7
-3/4x <= -7 -2
-3/4x<=-9
cross multiply
-3x<=-36
dividing throughout by -3
x>=12
tell whether or not the measurements below form a triangle:
1. 4, 5, 10
2. 12, 26, 20
3. 2, 3, 5
Answer:
Below.
Step-by-step explanation:
If the sum of any 2 sides are less than or equal to the third side then there's no triangle
1. N0 because 4 + 5 < 10
2. YES
3. NO because 2 + 3 = 5.
Answer:
Step-by-step explanation:
1 . 4,5,10 : this measurement does not form a triangle because the sum of two sides is not greater than the third side (longest side)
4 + 5 > 10
9 > 10 (this is not satisfied)
2. 12,26,20 :this measurement forms a triangle beacuse the sum of two sides is greater than the third side
12 + 26 > 20
38 > 20
3 .
2,3,4 : this measurement does not form a triangle because the sum of two sides is not greater than the third side.
2 + 3 > 5
5 > 5 (this is not satisfied)
Find the radius of a circle in which the central angle, a, intercepts an arc of the given length s.
a = 60°, s = 44 ft
The radius is ft.
(Round to the nearest hundredth as needed.)
Answer:
42.02 ft
Step-by-step explanation:
60 : 360 = 44 : x
x = 264 ft (length of the circumference)
C = 2 * radius * pi
radius = C / 2 * pi
Radius = 264 / 2 * pi = 42,016905 ft
During the worst periods of hyperinflation in a certain country, the price of the food increased at a rate of 20% per month. State whether this increase was linear or exponential. If your food bill was $130 in one month during this period, what was it three months later?
Answer:
After three months the value of the food bill will be $ 224.64.
Step-by-step explanation:
Given that during the worst periods of hyperinflation in a certain country, the price of the food increased at a rate of 20% per month, for state whether this increase was linear or exponential, and determine, if your food bill was $ 130 in one month during this period, what was it three months later, the following calculations must be performed:
A hyperinflation raises prices exponentially (the percentage is calculated based on the increase of the previous month). Thus, to calculate the price of the food bill, the following calculation must be performed:
130 x 1.20 ^ 3 = X
130 x 1.728 = X
224.64 = X
Therefore, after three months the value of the food bill will be $ 224.64.
A road has a scale of 1:50 000 The length of a road on the map is 8.5cm.Work out the length of the real road in kilometres
The answer is 2.1 Km. Hope this helps!
What is the solution to the equation 3 + 4/4y = 4?
Answer:
B. y= ¼
Step-by-step explanation:
3 + ^4√4y = 4
^4√4y =4-3
^4√4y = 1
^4√4y =^4√1
so, 4y = 1
y = ¼
Multiply 2x(5x+8y+3)
Answer:
10x² + 16xy + 6x
Step-by-step explanation:
2x(5x+8y+3)
10x² + 16xy + 6x
Answer:
[tex]10x^{2} + 16xy + 6x[/tex]
Hope this helped!
find the equation of the line passing through points A(3,4) and B(1,10)
Answer:
y = -3x + 13
Step-by-step explanation:
First, find the slope:
[tex]m=\frac{y_1-y_2}{x_1-x_2}\\\\m=\frac{4-10}{3-1}\\\\m=\frac{-6}{2}\\\\m=-3[/tex]
Finally, find the equation:
[tex]y-y_1=m(x-x_1)\\\\y-4=-3(x-3)\\\\y-4=-3x+9\\\\y=-3x+13[/tex]
A hybrid car was driven 300 mi and used 6 gal of gasoline. At the same rate of
consumption, how far would the hybrid car travel on 11.5 gal of gasoline?
Answer:
575 miles
Step-by-step explanation:
Create a proportion where x is the distance traveled on 11.5 gallons of gas:
[tex]\frac{300}{6}[/tex] = [tex]\frac{x}{11.5}[/tex]
Cross multiply and solve for x:
6x = 11.5(300)
6x = 3450
x = 575
So, the car would travel 575 miles
Answer:
575 mi
Step-by-step explanation:
First we are going to find out how much gasoline the hybrid car uses per mile.
to do this we are going to divide 300 by 6.
[tex]\frac{300}{6}[/tex] = 50 mi
∴ For every 50 miles 1 gallon of gas is used. This can be represented as 1:50 or [tex]\frac{1}{50}[/tex].
To find the distance that 11.5 gallon of gas would be used we are going to multiply 50 by 11.5.
50 × 11.5 = 575 mi
The height of a triangle is 4 feet more than 3 times the base. If the area is 112 ft find the base and height of the triangle
Answer:
[tex]base = 8 ft\\height =28 ft\\[/tex]
Step-by-step explanation:
let base be x ft. then the height is 3x+4
[tex]Area=\frac{1}{2} \times x \times (3x+4)=112\\3x^{2} +4x=224\\3x^{2} +4x-224=0\\x=8, x=-9.33 (no sol. as length can not be negative)\\ x=8\\base = 8 ft\\height =3(8)+4=28 ft\\[/tex]
Answer:
base = 8 , height = 28
Step-by-step explanation:
Let base be = b
Given:
height is 3times base = 3b
Also 4 feet more than 3 times base = 3b + 4
Area = 112 square feet
[tex]area = \frac{1}{2} \times base \times height\\\\112 = \frac{1}{2} \times b \times (3b+ 4)\\\\224 = b(3b+4)\\\\224 = 3b^2 + 4b\\\\3b^2 + 4b - 224 = 0\\\\[/tex]
The quadratic equation with a = 3 , x = 4 , c = -224
Therefore ,
[tex]b = \frac{-x \pm \sqrt{x^2 - 4ac}}{2a}\\\\[/tex]
[tex]b= \frac{-4 \pm \sqrt{4^2 - (4 \times 3 \imes -224)}}{2 \times 3}\\\\b= \frac{-4 \pm \sqrt{16 + 2688}}{6}\\\\b= \frac{-4 \pm \sqrt{2704}}{6}\\\\b= \frac{-4 \pm52 }{6}\\\\b = \frac{-4 + 52}{6} , \ b = \frac{-4 -52}{6}\\\\b = \frac{48}{6} , \ b = -\frac{56}{6}[/tex]
Since base can't be negative base = 8 ft
Therefore , height = 3b + 4 = 3(8) + 4 = 24 + 4 = 28
What is the surface area of a rectangular prism with length 12 mm, width 3mm and height 5 mm
Answer:
The surface area of the rectangular prism is of 22 square millimeters.
Step-by-step explanation:
Surface area of rectangular prism:
The surface area of a rectangular prism with length l, width w and height h is given by:
[tex]S = 2(lw + lh + wh)[/tex]
Length 12 mm, width 3mm and height 5 mm
This means that [tex]l = 12, w = 3, h = 5[/tex]
Surface area:
[tex]S = 2(lw + lh + wh) = 2(12(3) + 12(5) + 3(5)) = 2(36 + 60 + 15) = 2(111) = 222[/tex]
The surface area of the rectangular prism is of 22 square millimeters.
8. Expand (2a – 3b + 4c)2
Helllpppp plz
Nowww it’s imp
Step-by-step explanation:
(2a–3b+4c)²=
4a²+9b²+16c²-12ab-24bc+8ac
Figure ABCD is a rectangle find the value of x
Answer:
Espanol la vecsu
Step-by-step explanation:
Answer:
x = 1
Step-by-step explanation:
The diagonals of a rectangle bisect each other , so
DE = EB , that is
7x - 1 = 2x + 4 ( subtract 2x from both sides )
5x - 1 = 4 ( add 1 to both sides )
5x = 5 ( divide both sides by 5 )
x = 1
3y - 2x = 9
2y - 2x = 7
Step-by-step explanation:
there is your answer in attachment
I need help please no links or I will have you reported
Answer:ʜᴛᴛᴘꜱ://ᴡᴡᴡ.ʏᴏᴜᴛᴜʙᴇ.ᴄᴏᴍ/ᴡᴀᴛᴄʜ?ᴠ=ᴅQᴡ4ᴡ9ᴡɢxᴄQ
Step-by-step explanation:
Heres the answer but its on a another page.
Im joking
here's the answer
the first one is 878 i think that what your looking for at the top
> Next question Get a similar question You this question below Find the distance between the points (-3,-3) and (-5,-1) Distance vo Х Submit Question
Answer:
The answer is the square root of 8, or 2root2.
Step-by-step explanation:
Use the distance formula.
d = sqrt((-3-(-5))^2 + (-3-(-1)))
d = sqrt(2^2 + 2^2)
d = sqrt(4 + 4)
d = sqrt8
d = sqrt4 * sqrt2
d = 2 * sqrt2
