Answer:
We kindly invite you to read carefully the explanation detailed below for further details.
Step-by-step explanation:
At first we understand that Diego converted length and wide units from feet to inches ([tex]1\,ft = 12\,in[/tex]) and then he divided each term by 180, since he was using a reduction scale, so that rectangular parking lot can be represented on paper. That is:
Step 1 - Unit conversion:
[tex]l = 120\,ft[/tex] ([tex]l[/tex] - Length)
[tex]l = 120\,ft\times \frac{12\,in}{1\,ft}[/tex]
[tex]l = 1440\,in[/tex]
[tex]w = 75\,ft[/tex] ([tex]w[/tex] - Width)
[tex]w = 75\,ft\times \frac{12\,in}{1\,ft}[/tex]
[tex]w = 900\,in[/tex]
Step 2 - Applying scaling:
[tex]l' = \frac{l}{180}[/tex] ([tex]l'[/tex] - Scaled length)
[tex]l' = \frac{1440\,in}{180}[/tex]
[tex]l' = 8\,in[/tex]
[tex]w' = \frac{w}{180}[/tex] ([tex]w'[/tex] - Scaled width)
[tex]w' = \frac{900\,in}{180}[/tex]
[tex]w' = 5\,in[/tex]
a person walks 80 feet in 40 seconds. what equation represents this relationship. how many feet will the person walk in 10 seconds
Answer:
20 feet
Step-by-step explanation:
[tex]\frac{80 feet}{40 seconds}[/tex] = [tex]\frac{x feet}{10 seconds}[/tex]
Simplify [tex]\frac{80}{40}[/tex]
[tex]\frac{80}{40}[/tex] = [tex]\frac{2}{1}[/tex]
Every 1 second, a person will walk 2 feet.
[tex]\frac{x}{10}[/tex] = [tex]\frac{20}{10}[/tex]
X = 20 feet
Answer:
20 feet
Step-by-step explanation:
We can solve this two different ways:
The 1st and easiest way would be to first divide [tex]40/10[/tex] to get [tex]4[/tex], and then divide [tex]80/4[/tex] to get [tex]20[/tex].
This method works well in this situation because all the numbers are easily divisible, but in some situations this method may give you decimals which would make things more difficult.
In a situation like that, you would create a simple equation using this format: [tex]y=m(x)[/tex] in which [tex]y[/tex] represents the total number of feet walked, [tex]m[/tex] represents the number of seconds, and [tex]x[/tex] represents number of feet walked per minute.
You would start by finding out the number of feet walked per minute. You do this by plugging the information you know into the equation. We know that the person walks 80 feet in 40 seconds so the equation would look like this: [tex]80=40x[/tex]
To solve for [tex]x[/tex], you would then divide 40 on both sides to get [tex]2=x[/tex]
Now that we know that the person walks 2 feet every second, we can plug the information into a new equation to find out how far they go in 10 seconds. This equation will look like this: [tex]y=10(2)[/tex] and we can solve it to learn that [tex]y=20[/tex]. This means that the person will walk 20 feet in 10 seconds.
The revenue, Y, received for selling, t, DVD players is given by the equation: Y = -1/1000 t^2 + 10t. Find the number of DVD players that must be sold to obtain the maximum revenue.
The equation Y = -1/1000 t^2 + 10t is an illustration of a quadratic function
The number of DVD players that must be sold to obtain the maximum revenue is 5000
How to determine the number of DVDs?The equation of the function is given as:
[tex]Y = -\frac 1{1000} t^2 + 10t[/tex]
Differentiate the function
[tex]Y' = -2 * \frac 1{1000} t + 10[/tex]
Set to 0
[tex]-2 * \frac 1{1000} t + 10 = 0[/tex]
Simplify
[tex]- \frac 1{500} t + 10 = 0[/tex]
Subtract 10 from both sides
[tex]- \frac 1{500} t = -10[/tex]
Multiply both sides by -500
[tex]t = 5000[/tex]
Hence, the number of DVD players that must be sold to obtain the maximum revenue is 5000
Read more about maximum revenue at:
https://brainly.com/question/25638609
2x + 4 = 6x -8
X=2
No solution
X=4
X=3
Answer:
x=3
Step-by-step explanation:
-8-4=-12
2x-6x=-4
-12÷-4=3
Hope this helps! :)
Can someone help please, I put answers but I’m not sure if they’re right
Answer:
Step-by-step explanation:
x = y
x² + x² = 18²
2x² = 324
x² = 162
x = √162
x = y = 9√2
Solve X + 5 + 6x = 180. What are the steps?
Answer:
x=25
Step-by-step explanation:
x+5+6x=180
7x+5=180
7x=175
x=25
pizzas cost 14$ and you have 60$ how many pizzas can you buy and whats the remainder and quotient
Answer:
you can buy 4 pizza's and have $4 left over
Step-by-step explanation:
60/14 = 4.2857...
14 x 4 = 56
60 - 56 = 4
Answer:
quotient: 4
remainder:4
Step-by-step explanation:
you can buy 4 pizzas in all
Plzz help this assignment is due tomorrow!!
Answer:
Rip dude XD Ur gonna die
You have one coupon for x dollars off and another coupon for x% off.
Write a rule that helps you decide when you should use one instead the other.
Answer:
if you want an item that is 100 dollars of then you would like the precent of because 1-100 percent is 1-100 so the larger the number the more you would want the percent but if it is 10% or 5 dollars of on an item of 10 dollars then the dollars of would be better so the higher the number the more you want percentage.
There are 23 animals in the field. Some are pigs and some are ducks. There are 80 legs in all. How many of each animal are in the field?
Answer:
Pigs = 17
Ducks = 6
Step-by-step explanation:
Let there be x pigs and y ducks in the field.
[tex]\implies x + y =23[/tex]
[tex]\implies y =23-x.....(1)[/tex]
Since, there are 80 legs in all.
Each pig has 4 legs and each duck has 2 legs. So, x pigs will have 4x legs and y ducks will have 2y legs.
Total legs = 4x + 2y
Total legs = 80 (Given)
[tex]\implies 4x + 2y =80....(2)[/tex]
From equations (1) & (2), we find:
[tex]\implies 4x + 2(23-x) =80[/tex]
[tex]\implies 4x + 46-2x =80[/tex]
[tex]\implies 2x =80-46[/tex]
[tex]\implies 2x =34[/tex]
[tex]\implies x =\frac{34}{2}[/tex]
[tex]\implies x =17[/tex]
[tex]\implies y =23-17[/tex]
[tex]\implies y =6[/tex]
Jenna runs 6km per hour, how long would it take her to run 3km
It would take Jenna half an hour, or 30 minutes, to run 3 km.
Hope this helps!
what is ten to the 3rd power
Answer:
1000
Step-by-step explanation:
10 x 10 = 100
100 x 10 = 1000
Ms. Caswell deposits $450 into an account earning 8% simple interest per year. How
much simple interest is earned after 4 years?
Answer:
$144
Step-by-step explanation:
Use the simple interest formula, I = prt, where I is the interest money created, p is the starting amount, r is the interest rate as a decimal, and t is the amount of time.
Plug in the original amount, interest amount, and amount of time:
I = prt
I = 450(0.08)(4)
I = 144
So, $144 in simple interest is made in 4 years
The first occurrence of the highest temperature in the
cycle is day with a temperature of °C.
The first occurrence of the lowest temperature in the
cycle is day with a temperature of °C.
Answer: 9,28
4,22
Step-by-step explanation:
Answer:
Step-by-step explanation:
Please someone I need help
I will give3 BRAINLY
5 STARS and a THANKS
Please help
HINT: Add 5 yrs to x
Answer:
the answer is 5 + x
Step-by-step explanation:
The reason is because since you do not know the age of sam you cant put a number infront of x. So you just add 5 + x
A. Antonia has a green rope and a blue rope. Her green rope is 4 feet in length. She cut the green rope into 2 pieces. One of the pieces is 21 inches in length.
How many inches long is the other piece of the green rope? Use words and numbers to explain your reasoning.
B. Antonia's blue rope measures 2 yards. She wants to cut the rope into MORE than 3 pieces so all the pieces of rope are equal in length with no rope left over.
What is ONE possible way that Antonia can cut the rope so that each piece of rope is less than 24 inches in length? Use words and numbers to explain your reasoning.
Type your answer in the box below. Make sure to label each part with A and B.
Answer:
The other part is 27 in. long
Step-by-step explanation:
1 ft is 12 in
2 ft are 24 in
4 ft are 48 in
48 in - 21 in = 27 in
Answer:
Part A
Green rope = 4 ft
As 1 ft = 12 in
Then 4 ft = 4 × 12 in = 48 in
Antonia cuts the green rope into 2 pieces. One of the pieces is 21 in long. To find the length of the unknown piece, subtract the length of the known piece from the total length:
length of unknown piece = 48 - 21
= 27 in
Part B
Blue rope = 2 yd
1 yd = 36 in
Therefore, 2 yd = 2 × 36 = 72 in
Antonia wants to cut the rope into MORE than 3 pieces, and all the pieces need to be of equal length. As the length of the rope is an even number of inches, Antonia could first cut the rope in half, so she would have 2 pieces each of 36 in in length. Then she could cut both of those lengths in half, so she would have 4 pieces each of 18 in in length.
Find the equation of the line.
Answer:
y = 2/3x + 4
Step-by-step explanation:
so we already know the y intercept is 4 so lets put that in the equation
y = mx + 4
now we use the equation y2 - y1 / x2 - x1 to find the slope
lets use the points (-6, 0) and (3, 6)
6 - 0 / 3 - (-6)
6 / 9
2/3
the equation is
y = 2/3x + 4
check:
lets use the point (6, 8)
substitute:
8 = 2/3(6) + 4 ?
8 = 4 +4?
8 = 8
What is an equation of the line that passes through the point (8,2) and is parallel to the line x+4y=28
Answer:
[tex]y =\frac{-1}{4}x + 4[/tex]
Step-by-step explanation:
Parallel lines have same slope
x + 4y = 28
4y = -x + 28
[tex]y=\frac{-1}{4}x+\frac{28}{4}\\\\y=\frac{-1}{4}x+7[/tex]
m = (-1/4) and line passes through (8 , 2)
Equation: y - y₁ = m(x - x₁)
[tex]y - 2 = \frac{-1}{4}(x - 8)\\\\y -2 = \frac{-1}{4}x - 8*\frac{-1}{4}\\\\y -2 = \frac{-1}{4}x + 2\\\\ y = \frac{-1}{4}x + 2 +2\\\\ y =\frac{-1}{4}x + 4[/tex]
Find the slope between the two points.
(3, 7) and (-4, 2)
Answer:
5/7
Step-by-step explanation:
Answer:
slope=5/7
Step-by-step explanation:
y-y=m(x-x)
7-2=m(3+4)
5=m(7)
5/7=m
PLEASE HELP!!!
Only answer if you know the answer
Answer:
132
Step-by-step explanation:
what is a Gratitude to you?
Square root of 125 it’s between ___ and ___. It’s closer to ___.
Answer:
explantion IS the answer
Step-by-step explanation:
To estimate the square root of a number, we could start by relating the square to known perfect squares. 125 is between 11 and 12. It is probably closer to 11 since 125 is closer to 121 than to 144.
Điền số nguyên để
-3/5<...<-1
I don't know to this problem sorry
What is the change in the scale factor from the old scale to the new scale?
Old: 1 inch = 3.3 feet. New: 1 inch = 1.1 feet.
1 to 3
1 to 2.2
2.2 to 1
3 to 1
Answer:
The Answer is 3 to 1 I'm 100% sure
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Questions 3, 4, and 5.
Answers:
Reason 2) Given. Specifically, the diagram shows that the two angles are adjacent and supplementary, which is why the two angles are a linear pair.Reason 3) Definition of Linear Pair. As stated above, a linear pair of angles add to 180 degrees (they are supplementary).Statement 4) [tex]m \angle WZX = 90 \text{ and } m \angle WZV = 90[/tex] since the term "right angle" is another way of saying "90 degree angle"Statement 5) [tex]\overset{\leftarrow -\rightarrow}{WY} \perp \overset{\leftarrow -\rightarrow}{XV}[/tex] The upside down "T" symbol means "perpendicular". Perpendicular lines form 90 degree angles at the intersection.Side note: The double arrow over WY and XV in statement 5 is supposed to be an unbroken line.
PLS HELP ME !!
20 POINTS PLS HELP !!
Number 3 and 4 !!:)
Answer:
3. W = L - 4
4. x = 12 + 5cd
if you're creating equations that's what I would do
A banner measures 5.4 feet long.
How long does the banner measure in inches and in yards?
Enter your answers in the boxes.
Answer:
64.8 inches, 1.8 feet
Step-by-step explanation:
5.4*12=64.8
5.4/3=1.8
Answer:
Inches: 64.8, Yards: 1.8
Step-by-step explanation:
To get inches you multiply 5.4 by 12 and you get 64.8. To get yards you divide 5.4 by 3 and you get 1.8.
I need to know the answer to this and how to solves
Answer:
B is the answer
Step-by-step explanation:
looking at line CF,
it is a straight line thus being 180°
the < EOD is 90° < EOF is 55°
let < COD = t
therefore,
EOD + EOF + COD = 180
90 + 55 + t = 180
taking terms
t = 180 - (90 + 55)
t = 180 - 145
t = 35
COD = 35
EOD = 90
THUS, COE = COD + EOD
COE = 35 + 90
COE. = 125
DO MARK BRAINLIEST
Find the 70th term of the arithmetic sequence 11,19,27
Answer:
should be 563
Step-by-step explanation:
11,19,27,35, 43, 51, 59, 67, 75, 83,
91, 99, 107, 115, 123, 131, 139, 147, 155, 163,
171, 179, 187, 195, 203, 211, 219, 227, 235, 243
(there is a notable difference of 80 on each row)
243+(80x4)=243+320=563
Answer:
563
Step-by-step explanation:
This is an arithmetic sequence since there is a common difference between each term. In this case, adding to the previous term in the sequence gives the next term. In other words, .
Formula;
L = a + (n - 1)*d
Givens
n = 70
a = 11
d = 8
Solution;
t = 11 + (70 - 1)*8
t = 11 + 69*8
t = 11+ 552
t = 563
~Learn with lenvy~
HELP PLEASE! 30 POINTS AND WILL MARK BRAINLIEST.
Write the first 4 terms of the sequence defined by the explicit rule
f(n)=n^2-5
Answer:
-4,-1,4,11
Step-by-step explanation:
f(n)=n^2-5
Let n= 1
f(1)=1^2-5 = 1-5 = -4
Let n= 2
f(2)=2^2-5 = 4-5 = -1
Let n= 3
f(3)=3^2-5 = 9-5 = 4
Let n= 4
f(4)=4^2-5 = 16-5 = 11
605 and 1152 to the nearest tenth
Answer:
600 and 1200
Step-by-step explanation: