Answer:
W=1 4/5 feet
L= 2 2/5 feet
Step-by-step explanation:
3L = 4W L = 4W/3
2L+2W = 8 2/5
Substitute L
2(4W/3)+2W = 8 2/5
8W/3+2W = 8 2/5
multiply both sides by 3
8W+6W = 24 6/5
14W = 25 1/5
Divide both sides by 14
14W/14 = (25 1/5)/14
W = (126/5)/14 = 9/5 = 1 4/5
Substitute for W
L = 4(1 4/5)/3
L = (4)(9/5)/3 = (36/5)/3 = 12/5 = 2 2/5
The perimeter is an enclosed area of any two or one-dimensional shape.
The perimeter of a rectangle is given by:
[tex]\rm P = 2 ( L + B )[/tex]
The length is [tex]\rm 2 \dfrac{2}{5} feet[/tex] and the width of the rectangle is [tex]\rm 1\dfrac{4}{5} feet[/tex].
This can be calculated by:
Given,
Perimeter (P) = [tex]\rm 8 \dfrac{2}{5} feet[/tex]Let,
Length = LWidth = WSince,
3L = 4W
[tex]\rm L = \dfrac{4W}{3}[/tex]
Substituting the value of L in the equation of perimeter:
[tex]\rm 2(\dfrac{4W}{3}) + 2W = 8 \dfrac{2}{5}[/tex]
[tex]\rm \dfrac{8W}{3} + 2W = 8 \dfrac{2}{5}[/tex]
Now multiplying the left and right sides by 3 we get:
[tex]\rm 8W+6W = 24 \dfrac{6}{5}[/tex]
[tex]\rm 14W = 25 \dfrac{1}{5}[/tex]
Now divide both sides by 14:
[tex]\rm \dfrac{14W}{14} =\dfrac{(25 \dfrac{1}{5})}{14}[/tex]
[tex]\rm W = \dfrac{(\dfrac{126}{5})}{14} \\\\= \dfrac{9}{5}[/tex]
[tex]\rm W = 1 \dfrac{4}{5}[/tex]
Now substituting the value of W, length can be calculated:
[tex]\rm L = \dfrac{4(1 \dfrac{4}{5})}{3}[/tex]
[tex]\rm L = \dfrac{(4)\dfrac{9}{5}}{3} \\\\= \dfrac{(\dfrac{36}{5})}{3} \\\\= \dfrac{12}{5}[/tex]
[tex]\rm L = 2 \dfrac{2}{5}[/tex]
Therefore, length is [tex]\rm 2 \dfrac{2}{5} feet[/tex] and width is [tex]\rm 1\dfrac{4}{5} feet[/tex].
To learn more about the perimeter of rectangle follow the link:
https://brainly.com/question/8966512
Describe or show two different ways to find the volume of a right rectangular prism with dimensions of 9 centimeters by 7 centimeters by 12 centimeters.
Answer:
9×7×12=756 is the dimensions
49/70 in its simplest form
Answer:
7/10
Step-by-step explanation:
Brainliest?!?!?!?!
Answer: 7/10
Step-by-step explanation: Divide 49 by 70 and you get 0.7. And 0.7 is just 7/10 in decimal form!
Valerie and Seth are measuring the outside walls of a house using two different instruments. They want to find the house's perimeter. Valeria measured the north and east sides while Seth measured the west and south sides. Their results are listed in the table.
Part A
Use decimal numbers to write an expression that represents the length of the walls that Valerie measured.
Part B
Now use decimal numbers to write an expression that represents the length of the wall that Seth measured.
Part C
Write an expression for the perimeter of the house. Use the work you completed in part A & B to guide you.
Part D
Simplify the expression from part C to find the perimeter of the house in feet.
Part E
Suppose that you evaluate the expression for Valerie's wall and the expression for Seth's wall separately. Then you add the two expressions together. Will you get the same answer that you arrived at in part D? Why or why not? Show your work to prove your case.
PLEASE PLEASE PLEASE HELP I REALLY NEED HELP IN THIS WORK, THANK YOU.
Answer:
A)
Valerie measured 4 walls at 2 1/2 feet. In decimal form, each wall is 2.5 feet long. So, the total length of the 4 walls is (2.5 × 4) feet.
Valerie measured 3 walls at 21 1/4 feet. In decimal form, each wall is 21.25 feet long. So, the total length of the 3 walls is (21.25 × 3) feet.
Valerie measured 1 wall at 32 feet.
The expression that gives the total length of the walls that Valerie measured is (2.5 × 4) + (21.25 × 3) + 32.
B)
Seth measured 1 wall at 3.5 feet.
Seth measured 2 walls at 22.75 feet. So, the total length of the 2 walls is (22.75 × 2) feet.
Seth measured 1 wall at 58 feet.
The expression that gives the total length of the walls that Seth measured is 3.5 + (22.75 × 2) + 58.
C)
The total length of Valerie’s walls is (2.5 × 4) + (21.25 × 3) + 32.
The total length of Seth’s walls is 3.5 + (22.75 × 2) + 58.
To find the expression for the perimeter of the house, add Valerie’s expression to Seth’s:
(2.5 × 4) + (21.25 × 3) + 32 + 3.5 + (22.75 × 2) + 58.
D)
(2.5 × 4) + (21.25 × 3) + 32 + 3.5 + (22.75 × 2) + 58
= 10 + 63.75 + 32 + 3.5 + 45.5 + 58
= 212.75
The perimeter of the house is 212.75 feet.
E)
The total length of Valerie’s walls is 105.75 feet:
(2.5 × 4) + (21.25 × 3) + 32 = 10 + 63.75 + 32 = 105.75 feet.
The total length of Seth’s walls is 107 feet:
3.5 + (22.75 × 2) + 58 = 3.5 + 45.5 + 58 = 107 feet.
The sum of 105.75 feet and 107 feet is 212.75 feet. The Commutative Property allows me to add numbers in any order. This is why the answers in parts D and E match.
edmentum answers :)
Darby bought a rare baseball card for $2,000. Three years later, the value of the card had increased 35% of its original value. By how much did the value of Darby’s baseball card increase?
$___
================================================
Work Shown:
35% = 35/100 = 0.35
35% of 2000 = 0.35*2000 = 700
Since the card increased by 700 dollars, this means the card is now worth 2000+700 = 2700 dollars.
Identify the digit with the given place value. 0.27845 hundredths
Answer:
7.
Step-by-step explanation:
Place value can be defined as the numerical value representing a digit owing to its position in a number. Some examples of the various place values used in representing each digit are tenths, hundredths, thousandths, unit, tens, hundreds, thousands etc.
For example, in the number 0.27845;
The place value of 0 is units.The place value of 2 is tenths.The place value of 7 is hundredths. The place value of 8 is thousandths. The place value of 4 is ten thousandths. The place value of 5 is hundred thousandths.Therefore, given the number 0.27845.
The digit representing hundredths in 0.27845 is 7.
H(x)= -x^2+ 3x + 5 What is the average rate of change from x = 3 to x = 5
Answer:
f(x)=x^(2),[2,3]
-2x-h+3
Step-by-step explanation:
Write a whole number that round to 2000 if we are rounding to the nearest thousaand
Answer:2200
Step-by-step explanation:
Easy peesy lemon squezzy
Three car brands A, B, and C have all the market share in a certain city. Brand A has 20% of the market share, brand B has 30%, and brand C has 50%. The probability that a brand A car needs a major repair during the first year of purchase is 0.05, the probability that a brand B car needs a major repair during the first year of purchase is 0.10, and the probability that a brand C car needs a major repair during the first year of purchase is 0.15. a. What is the probability that a randomly selected car in the city needs a major repair during its first year of purchase? b. If a car in the city needs a major repair during its first year of purchase, what is the probability that it is a brand A car?
Answer:
a.) 0.115
b.) 0.087
Step-by-step explanation:
Given,
P(A) = 20% = 0.20
P(B) = 30% = 0.30
P(C) = 50% = 0.50
Let M - major repairing during first year
P(M/A ) = 0.05
P(M/B) = 0.10
P(M/C) = 0.15
a.)
P(M) = P(M∩A) + P(M∩B) + P(M∩C)
= P(M/A).P(A) + P(M/B).P(B) + P(M/C).P(C)
= (0.05)(0.20) + (0.30)(0.10) + (0.15)(0.50)
= 0.01 + 0.03 + 0.075
= 0.115
⇒P(M) = 0.115
b.)
P(A/M) = P(A∩M)/ P(M) = P(M/A).P(A)/P(M)
= (0.05)(0.20) / 0.115
= 0.01 / 0.115 = 0.087
⇒P(A/M) = 0.087
PLEASE ANSWER THESE I RLLY NEED HELP I DONT UNDERSTAND I WILL MARK YOU AS BRAINLIEST IF YOU ANSWRR CORRECTLY PLS AND TY
Answer:
Step-by-step explanation:
5. You are asked to write an equation of the line in slope-intercept form, so you need to determine the slope of the line and the y-intercept.
You're lucky. One of the points, (0,1), has an x-coordinate of 0, so you know that the y-intercept is 1.
Use the coordinates of the points to determine the slope of the line.
slope = (difference in y-coordinates)/(difference in x-coordinates) = (10-1)/(3-0) = 9/3 = 3
The slope-intercept equation of the line is y = 3x+1
:::::
7. When x = 0, function A = 0 and function B = 3, so function B has a greater initial value.
3) A sample of 42 grams of an unknown substance has a half-life of 1,300 years.
(a) Write an equation to determine the amount of substance, S, left after t years.
(b) Approximately how long will it take for 0.2 grams of substance to remain (to the nearest year)?
Answer:
a) [tex]S(t) = 42(0.9995)^t[/tex]
b) It will take 10,692 years.
Step-by-step explanation:
Exponential function to determine the amount of substance:
An exponential function to determine the amout of substance after t years is given by:
[tex]A(t) = A(0)(1-r)^{t}[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
(a) Write an equation to determine the amount of substance, S, left after t years.
Half-life of 1300 years means that [tex]A(1300) = 0.5A(0)[/tex].
We use this to find r. So
[tex]A(t) = A(0)(1-r)^{t}[/tex]
[tex]0.5A(0) = A(0)(1-r)^{1300}[/tex]
[tex](1-r)^{1300} = 0.5[/tex]
[tex]\sqrt[1300]{(1-r)^{1300}} = \sqrt[1300]{0.5}[/tex]
[tex]1 - r = 0.9995[/tex]
[tex]r = 0.0005[/tex]
Sample of 42 grams means that [tex]A(0) = 42[/tex]. So
[tex]A(t) = A(0)(1-r)^{t}[/tex]
Replacing A by S, just for notation purposes
[tex]S(t) = 42(0.9995)^t[/tex]
(b) Approximately how long will it take for 0.2 grams of substance to remain (to the nearest year)?
This is t when [tex]S(t) = 0.2[/tex]. So
[tex]S(t) = 42(0.9995)^t[/tex]
[tex]0.2 = 42(0.9995)^t[/tex]
[tex](0.9995)^t = \frac{0.2}{42}[/tex]
[tex]\log{(0.9995)^t} = \log{\frac{0.2}{42}}[/tex]
[tex]t\log{0.9995} = \log{\frac{0.2}{42}}[/tex]
[tex]t = \frac{\log{\frac{0.2}{42}}}{\log{0.9995}}[/tex]
[tex]t = 10692[/tex]
It will take 10,692 years.
bonjour,pouvez vous m’aider ;)
a. calculer DC
b.en déduire que ED =1,60 m
c.une fillette mesure 1,10 m
elle passe a 1,40m derrière la camionnette.
Le conducteur peut-il la voir ? expliquer
Données :
(AE) // (BD)
AE = 1,50 m
BD = 1,10 m
EC = 6 cm
Answer:
je suis super nul en math desolee
On a United States map, 1 inch represents
240 miles. Using this scale, find the distance
represented by 3.5 inches.
AND
On a California map, 1 inch represents 150 miles. Using this scale, find the distance represented by 2.5 inches.
Divide the product of 22 and 27 =
23) The area of one piece of pizza is 14.13 in? If the pizza is cut into eighths, find the radius of
the pizza
Answer:
2.12in
Step-by-step explanation:
Pizza is circular in nature
Area of a circle = πr²
r is the radius
Given
A = 14.13in²
14.12 = 3.14r²
r² = 14.12/3.14
r²= 4.49
r = 2,12in
Hence the radius of the pizza is 2.12in
Goran makes 8 dollars for each hour of work. Write an equation to represent his total pay p after working h hours.
Answer:
P=H(8)
Step-by-step explanation:
P equals Pay.
H equals Hours.
Gorans pay is whatever his hours are times 8.
P=H(8)
I hope this helps!
HELPPP PLS ILL GIVE BRAINLESS DIE SOON
Answer:
C nnnnnnnnñnnnnn
Step-by-step explanation:
That is the answer C
Draw a Triangle whose tangent is 2. Find the values of the other five trigonometric functions
Answer:
you gonna answer it
Step-by-step explanation:
Because that's yours book
For the equation: D = -0.306c + 0.9979, what is the value of D when c= 1.67? Express answer with the correct number of sig figs?
Answer:
0.48688Step-by-step explanation:
Let's solve your equation step-by-step.
d=(−0.306)(1.67)+0.9979
Step 1: Simplify both sides of the equation.
d=(−0.306)(1.67)+0.9979
d=−0.51102+0.9979
d=(−0.51102+0.9979) (Combine Like Terms)
d=0.48688
Question 1
Which set of numbers below can be used to make a triangle?
10, 1,9
4,8,5
1,1,5
O 2, 6, 12
Answer:
The Ans is 4,8,5
Step-by-step explanation:
As 8 is the base and 4,5 are sides
Hope it helps you
One last stop before you head home. You and your friends are worn out, but you can’t help but stop for a candy apple to eat on the ride home from Snack Centra. Yum! You would like to take some home to your family, so what’s the best deal? You can purchase 5 apples for $6.25 or 8 apples for $9.25. What’s the best way to spend your last few bucks?
Answer:
the 8 for 9.25
Step-by-step explanation:
that is the best deal because 1.25 dollars per apple for for the 5 apples for 6.25 dollars rather than 1.15 dollars per apple for the 8 apples for 9.25 dollars so therfore 8 for 9.15 is overall a better for the price per apple
2(x+5)=3x+1
How do I solve this
Answer:
x = 9
Step-by-step explanation:
2(x+5)=3x+1
Distributive Property
2x+10=3x+1
Subtract 2x from both sides
10=x+1
Subtract 1 from both sides
9=x
Correct form: x=9
15 PTS NEED ASAP HELP !!!
Answer:
use photo math it helps.......
Answer:
-1
Step-by-step explanation:
Let's simplify this equation one at a time using the order of operations:
|2 - 5| - (12÷4 - 1)^2
3 - (3 - 1)^2
3 - 2^2
3 - 4 = -1
Hope this helps!!
Linda Pearl purchased a new computer for $3,500 using the stores installment credit plan. if he is required to make a 30% down payment and finances the remaining amount what is the total amount that he will finance
Answer:
$2450 is the remaining amount
Step-by-step explanation:
i divided 3500 into 10th because its usually easier to do when you are working with percents, then so every 10 is $350. so he put down $1050 or the 30% because 350x3 is 1050 then you subtract 1050 from 3500 which then you get 2450.
Answer:
2450
Step-by-step explanation:
70% of 2450
WILL MARK BRAINLIEST ASAP HELP (a-b)^2*x-y(b-a)^2
Answer:a2x2 + a2y2 + 2axy - b2x2 + 2b2xy - b2y2
Step-by-step explanation:
i hope it helps
in math what does the word "of" mean
Answer:
Multiplication
Step-by-step explanation:
The word 'of', in Math, simply means multiplication. Generally, whenever you encounter this word, put a multiplication sign in your equation at that point. The word 'of' is used very simply in percentage problems, and usually you just have to replace 'of' with a multiplication sign to get rid of it!
Answer:
"In mathematics, “of” means ”a part of something”. Mostly, “of” means “to multiply”. In other context, mathematical expressions like “f of x”, where “of” means “depending on” or “involving” or “defined in terms of” “x”; it also refers to the act of applying the function to its argument".
Step-by-step explanation:
Yw. Plz mark brainliest
Plzzz help its easy points and easy question im just dum!! What is the slope view image below.
Answer:
0.5
Step-by-step explanation:
Answer:
1/5
Step-by-step explanation:
It's okay, you're not dum, you might have just not payed attention in online class or you might have forgotten.
We can find the slope by using 2 coordinates that are on a line.
We can choose any of the coordinates from this table. I'm gonna use (0, 4) and (2, 5)
The formula for find the slope is the rise over the run or
y1 - y2 / x1 - x2
4 - 5 / 0 - 5
-1 / -5
1/5
The slope is 1/5
Sophia is a salesperson at a home improvement center. She is paid a monthly commission that is 7.5% of her first $1,000 in sales and
12% of the balance of her sales. Today she sold $1200. How much is her commission?
5m - 4z + 8m + 3 – 2z
Answer:
13m-6z+3
Step-by-step explanation:
5m-4z+8m+3-2z
5m+8m-4z-2z+3
13m-6z+3
What is 4•(5+3)=4•8=
Answer:
32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
I hope this helps, and have a great day! :)
HELP! Question down below
Answer:
B. Both are correct
Step-by-step explanation:
The graph correctly shows y=2x and the table is right.
Answer:
Your answer is.....
Both are correct
Mark it as brainlist answer . follow me for more answer.
Step-by-step explanation: