Answer:
25^2=16^2 +d^2
d^2=625-256
d=19.2
option C
the length of a rectangle is 5 less than twice its width. the perimeter is 26 meters. find the dimensions of the rectangle.
Step-by-step explanation:
Let x be the length of rectangle and y its width.
P is the perimeter.
So it is given that length is 5 less than twice its width
x=2y-5 so 2y=x+5
also P=2x+2y=26
lets find x
we know 2y=x+5 we replace 2y on P=2x+2y=26
so 26=2x+(x+5)
26=3x+5
21=3x
x=7
so we have that 2y=x+5 so 2y=7+5=12
y=6
we found
length=7
and
width=6
The marketing department of a local shoe company found that approximately 550 pairs of running shoes are sold monthly when the price of each pair is $100. It was also observed that, for each $1 reduction in price, an additional 20 pairs of
running shoes are sold monthly. What price should the shoe store charge for a pair of running shoes in order to maximize revenue?
Answer:
The price that maximizes the revenue is $63.75
Step-by-step explanation:
Analyzing the statement one after the other.
[tex]Initial\ Quantity = 550[/tex] ---- When ----- [tex]Initial\ Price = \$100[/tex]
When there's a reduction of $1, we have:
[tex]Quantity = 550 + 20x[/tex] and [tex]Price = 100 - x[/tex]
Where x represents the maximum reduction
At this point, we need to calculate the revenue (R)
[tex]R = Quantity * Price.[/tex]
[tex]R = (550 + 20x) * (100 - x)[/tex]
Open Brackets
[tex]R = 55000 - 550x + 2000x - 20x^2[/tex]
[tex]R = 55000 +1450x - 20x^2[/tex]
Differentiate both sides with respect to x
[tex]\frac{dR}{dx} = 0 + 1450 - 40x[/tex]
[tex]\frac{dR}{dx} = 1450 - 40x[/tex]
To maximize revenue;
[tex]\frac{dR}{dx} = 0[/tex]
So:
[tex]1450 - 40x = 0[/tex]
[tex]1450 =40x[/tex]
Solve for x
[tex]x = 1450/40[/tex]
[tex]x = 36.25[/tex]
Recall that:
[tex]Price = 100 - x[/tex]
Substitute [tex]x = 36.25[/tex]
[tex]Price = 100 - 36.25[/tex]
[tex]Price = 63.75[/tex]
Hence:
The price that maximizes the revenue is $63.75
what is an equivalent expression for 1/4x
please help ASAP.
Answer:
x/4
Step-by-step explanation:
You are facing West. Turn 90 degrees left. Turn 180 degrees
right. Reverse direction. Turn 45 degrees left. Reverse direction.
Turn 270 degrees right.
In which direction are you now facing?
You would be facing Northeast.
If people blink about 17 times per minute, how many times do they blink in 8 hours?
Answer:
8,160 times in 8 hours.
Step-by-step explanation: What You must do is Multiply 17 and 60 because there are 60 mins in an hours. You get 1,020 blinks an hour. Now multiply 1,020 and 8 to get 8,160 blinks in 8 Hours.
25. What is the slope of the line that passes through the points (8, 1) and (5, 7)?
9514 1404 393
Answer:
-2
Step-by-step explanation:
You can use the formula for slope (m) to find it:
m = (y2 -y1)/(x2 -x1)
m = (7 -1)/(5 -8) = 6/-3 = -2
The slope of the line is -2.
If the planes extend infinitely in all directions, where do plane ADB and line EC intersect?
Answer: In point C.
Step-by-step explanation:
Plane ADB is the plane that contains the points A, D and B.
If you look in the image, you can see that point C also does belong to this plane.
Line EC is the line that connects the points E and C.
Now, remember that Point C does belong to the plane ADB, then the point where the plane ADB and line EC intersect is in point C, because it is a common point to both elements.
First try was incorrect
Lee wrapped 4 presents every 6 hours. At that rate, how many would
he wrap in 18 hours?
label optional
Answer:
27
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
6time 3=18 so 3 times 4 =12
-33+2x= -6(1 + 5x) +5x
Answer:
=1
Step-by-step explanation:
You are multiplying as many as you want 5s and as many as you want 2s, at least one of each. What could the last digit of the product be?
Answer:
0
Step-by-step explanation:
It is always going to be 0 because there is always going to be a 2 and a 5 that multiply to make the units digit zero.
I hope this could help you.
Answer:
0
Step-by-step explanation:
any multiple of 5 ends in 5 or 0
it cant end in 5 as then it wouldn't be an even number
so its 0
Katie bought a new dress for the winter
formal dance at school. She was able to find it
on sale for 40% off the original price. If she
paid $72 after the discount was applied, then
what was the original price of the dress?
Answer: it’s 120
Step-by-step explanation:
what is the radius of a sphere with the volume of 12348pi
Answer:lemme see
Step-by-step explanation:
The Jacuzzi in Anna and Tamara's room is octagonal in shape (eight sides).
The top and bottom of the base of the Jacuzzi is 3x + 2,
the other six sides are 2r. Write an expression that
represents the perimeter of the base of the Jacuzzi."
Answer:
people place anf things fom different sources from different people
Answer:
18x+4
Step-by-step explanation:
add all the sides to get the perimeter 2 +2+2+2+2+2 =( 12) 3x+2 +3x+2=(6x+4) Make the expression 12x+6x+4 add 12+6= gives you 18x+4
PLZZZZZ HELP I DONT GET IT
Answer:
C
Step-by-step explanation:
5.9(9 - 5) + 4^3 + 3.86
5.9(4) + 4^3 + 3.86
5.9(4) + 64 + 3.86
23.6 + 64 + 3.86
Put the decimals together so it will be easier:
23.6 + 3.86 + 64
27.46 + 64
= 91.46
[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]
______________________________
[tex]\bold{Solution~Steps:}[/tex]
[tex]1.)~Solve~parenthesis~first:[/tex]
[tex]\bold{(9-5)=4}[/tex][tex]\bold{Solve~using~PEMDAS-Parenthesis.}[/tex][tex]2.)~Calculate~the~power~of~4^3:[/tex]
[tex]\bold{4^3=64}[/tex][tex]\bold{Solve~using~PEMDAS-Exponents.}[/tex][tex]3.)~Multiply:[/tex]
[tex]\bold{5.9}[/tex] × [tex]\bold{4=23.6}[/tex][tex]\bold{Solve~using~PEMDAS-Multiplication.}[/tex][tex]4.)~Add:[/tex]
[tex]\bold{23.6+64=87.6}[/tex][tex]\bold{87.6+3.86=91.46}[/tex][tex]\bold{Solve~using~PEMDAS-Addition.}[/tex]______________________________
[tex]\bold{Answer:}[/tex]
[tex]\bold{The~simplified~equation~answer~is~\boxed{C.}}[/tex]______________________________
[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~-TotallyNotTrillex}[/tex]
Write the following ratio in their simplest form 80cm:40cm
Answer:
The average ratio of 80cm and 40cm is 60cm
Step-by-step explanation:
please mark brainiest
Answer:
2cm:1cm
Step-by-step explanation:
80cm:40cm then divide that by a number that they can both be divided by which is 40.
Joe's employer will reimburse him $0.07 per mile driven. If Joe drives 179.53 miles on a business trip, what is his mileage reimbursement? Round your answer to the nearest cent.
Answer:
$12.27
Step-by-step explanation:
.07 times 179.53 is 12.5671 so rounded to 12.27
The mileage reimbursement for Joe is: $12.27 to the nearest cent.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
WE have been given that Joe's employer will reimburse him $0.07 per mile driven.
If the employer reimburses $0.07 per mile driven, we just need to multiply $0.07 by the number of miles that Joe drives.
So, the mileage reimbursement for Joe is:
0.07 x 179.53 = 12.5671
so rounded to 12.27
Therefore, The mileage reimbursement for Joe is: $12.27 to the nearest cent.
Learn more about the unitary method;
https://brainly.com/question/23423168
#SPJ2
write the side length of the square root. is the side length a rational or irrational number
Answer:
10 it is rational
Step-by-step explanation:
HELP PLEASE ILL GIVE BRAINLIEST The point (5, 12.3) lies on the graph representing a proportional relationship. Which of the following points also lie on the same graph? Select all that apply.
a
(3, 7.38)
b
(2, 5)
c
(11, 27.06)
d
(1.5, 4)
e
(1, 2.46)
help asap
Answer:
[tex]a. \: (3, 7.38) \\ c. \:(11, 27.06) \: and\: \\ e. \: (1, 2.46) \\ are \: correct.[/tex]
Step-by-step explanation:
[tex]this \: constant \: ratio \: is \: gotten \: by \: \\ \frac{x}{y} = \frac{12.3}{5} = \frac{7.38}{3} = \frac{27.06}{11} = \frac{2.46}{1} = 2.46 \\ so \: constant \: is \: 2.46 \: and \: points \: that \\ \: also \: lie \: on \: the \: same \: graph \:are: \\ a. \: (3, 7.38) \\ c. \:(11, 27.06) \: and\: \\ e. \: (1, 2.46) [/tex]
Which of the following line is parallel to the the line y=3/4x+7
the answer is y=3/4x-9
Find X and Y in this figure
Answer:
x = 6
y= 24
Step-by-step explanation:
90+ (3y+18) = 180. reason [being co-interior angle
(15x+30)+10x = 180. reason [being co-interior angle
WHAT IS 52÷467 I NEED TO KNOW CAUSE I HAVE TO GET MY GRADES UP
Answer:
.1113490364
Step-by-step explanation:
this is the answer.
Solve the inequality 4(x+1)<4x+3
Let's solve your inequality step-by-step.
4(x+1)<4x+3
Step 1: Simplify both sides of the inequality.
4x+4<4x+3
Step 2: Subtract 4x from both sides.
4x+4−4x<4x+3−4x
4<3
Step 3: Subtract 4 from both sides.
4−4<3−4
0<−1
Answer:
There are no solutions.
Answer: no solution
Step-by-step explanation:
1. Add 4.2 to both sides.
2. Divide both sides by -3.
Order the following from least to greatest: 37, -9, -14, 34, -47, -18, 26
HelpI don’t understand graphs and I will mark brainliest for the correct answer
Answer:
G(x)=x^3-1
Step-by-step explanation:
Надеюсь тебе это поможет
Randy has $15 to spend on fruit. Using only estimation, which quantities of fruit can Randy reasonably buy? Check all that apply.
Answer:
7.2 pounds of apples
10.75 pounds of pears
4.22 pounds of strawberries
Answer:
A D E A=7.2 D=10.75 E=4.22. HOPE THIS HELPS! PLS give me brainliest...
Step-by-step explanation:
It is common in many industrial areas to use a filling machine to fill boxes full of product. This occurs in the food industry as well as other areas in which the product is used in the home, for example, detergent. These machines are not perfect, and indeed they may A, fill to specification, B, underfill, and C, overfill. Generally, the practice of underfilling is that which one hopes to avoid. Let P(B) = 0.002 while P(A) = 0.980.
Which table represents a linear function? DIFFERENT THAN OTHER QUESTION
Answer:
the first table
Step-by-step explanation:
because there's one output for every input
all the numbers under y are imcresing by the samw number(3)
The two windows shown are similar. What is the height of the larger window?
Answer:
the answer is 5.44 feet
Step-by-step explanation:
Add me
Answer:
Step-by-step explanation:
Is a = 2.4 a solution to the equation below? Show why or why not.
9a-3 = 4a +9
Answer:
Yes
Step-by-step explanation:
Both equations equal 18.6. Just plug in 2.4 for a to check