4. (LT 1.1) The perimeter of the rectangle below is 40 feet. Its length and width are
given in terms of x. Find the length and width of the rectangle.
3x
2x + 5
Answers
Answer:
Length, L = 9 feet.
Width, W = 11 feet.
Step-by-step explanation:
Given the following data;
Perimeter = 40 feet
Length = 3x
Width = 2x + 5
The perimeter of a rectangle is given by the formula;
P = 2(L + W)
40 = 2(3x + 2x +5)
40 = 2(5x + 5)
40 = 10x + 10
10x = 40 - 10
10x = 30
x = 30/10
x = 3
Now, to find the length;
Length, L = 3x
Substituting into the equation, we have;
Length, L = 3*3
Length, L = 9 feet
To find the width;
Width, W = 2x + 5
Substituting into the equation, we have;
Width, W = 2(3) + 5
Width = 6 + 5
Width, W = 11 feet.
Related Questions
If the radius of a circle is 9 cm, what is the area of the circle?
Answers
Answer: 254.34 cm²
Step-by-step explanation:
Area of a circle: πr²
(3.14)9² = 3.14 × 81 = 254.34
Area of the circle ≈ 254.34 cm²
A line passes through the point (-4 , -8) and has a slope of -3/2.
Write an equation in slope - intercept form for this line.
Answers
Answer:
[tex]y = \frac{-3}{2}x - 14[/tex]
Step-by-step explanation:
(-4 , -8) ; slope = (-3/2)
Equation of the line: y - y₁ = m( x- x₁)
[tex]y - [-8] = \frac{-3}{2}(x - [-4])\\\\y + 8 = \frac{-3}{2}(x +4)\\\\y + 8 = \frac{-3}{2}x +(\frac{-3}{2})*4\\\\y + 8 = \frac{-3}{2}x - 3 * 2\\\\ y = \frac{-3}{2}x -6 -8\\\\y = \frac{-3}{2}x - 14[/tex]
On a coordinate plane, the vertices of a rectangle are (–1, 1), (3, 1), (–1, –4), and (3, –4). What is the perimeter of the rectangle?
Answers
Given that,
The vertices of a rectangle are (–1, 1), (3, 1), (–1, –4), and (3, –4).
To find,
The perimeter of the rectangle.
Solution,
Let the points are :
A(–1, 1), B(3, 1), C(3, –4) and D(–1, –4)
Let's find AB and BC using distance formula :
[tex]AB=\sqrt{(3-(-1))^2+(1-1)^2} \\\\=4\ \text{units}[/tex]
[tex]BC=\sqrt{(3-3)^2+(-4-1)^2} \\\\=5\ \text{units}[/tex]
The perimeter of a rectangle = 2(sum of two adjacent sides)
= 2(AB+BC)
= 2(4+5)
= 18 units
So, the perimeter of the rectangle is 18 units.
Sven has 11 more than twice as many costumers as when started selling newspapers
He now has 73 customers.How many did he have when he started ?
Answers
Answer:31
Step-by-step explanation:
You take 73 and subtract 11 and get 62 then divide it by 2 and you get 31
62/2 =31 the answer is 31
Simplify the following expression
Answers
wait the answer is b
All the words in the Snowman language consist of exactly seven letters formed from the letters {s, no, wm, an} arranged in some order where the paired letters cannot be separated. For example "snonono" and "sssanwm" are words in the language but "sssmwan" and "sssawmn" are not. How many words are there in the Snowman language?
Answers
Answer:
24
Step-by-step explanation:
Imagine s is 1, no is 2, wm is 3, and an is 4.
If you look at all the possible ways to orginaze the numbers starting with one you get 6;
1234
1243
1324
1342
1432
1423
you then need to multiply this by the amount of numbers that could be in the start; which is four; 1, 2, 3, and 4. So, six ways to orginaze multiplied by 4 numbers is 24.
In Snowman language, total words are 24.
What is permutation and combination?Permutation and combination are ways to arrange values in a set. In permutation the order of arrangement matters, but in combination the order of arrangement does not matter,
Given that,
Total number of letters in Snowman language = 7
The letters are in form of {s, no, wm, an}.
To find the total words in Snowman language,
Consider the following: s = 1, no = 2, wm = 3, and an = 4.
If you consider every possible method to order the numbers beginning with one, you will arrive at the number 6;
1234
1243
1324
1342
1432
1423
You must then multiply this by the total number of possible numbers at the beginning, which is four: 1, 2, 3, and 4. Six possible organizations divided by four digits equals 24.
So, the total words in Snowman language is 24.
To know more about Permutation and Combination on:
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Rachel spent $116 more than Samuel. If Rachel spent $999, then how much did Samuel spend?
Answers
999-116 = 883
samuel spent $883
Answer:
883
Step-by-step explanation:
999-116= 883
Round 0.00076511 to one significant figure
Answers
Answer: 0.0008
Step-by-step explanation: Hope this helps :)
On what interval(s) of x does f have positive concavity?
On what interval(s) of x does f have negative concavity?
Answers
9514 1404 393
Answer:
positive concavity: nonenegative concavity: (-∞, ∞)Step-by-step explanation:
A parabola that opens downward has a second derivative that is negative everywhere. The interval of negative concavity is 'all real numbers', (-∞, ∞). There is no interval of positive concavity.
Cathy reads 4 pages of a book each morning
and 5 pages of a book each evening.
How many pages will she read in seven days?
Help me!!!!
Answers
Answer:
65
Step-by-step explanation:
22 divided by 5, area model
Answers
Answer:
The answer for this question is 4.4
A) options: liters, millileters
B)Options: millimeters centimeters meters kilometers
C) options grams, kilograms
Answers
B.) centimeters
C.) grams
A
car travels 120 miles in 3 hours how far does the car travel in 1 hour
Answers
Answer:
200 miles
Step-by-step explanation:
Answer: i have no idea sorry
Step-by-step explanation:
Which expressions are equivalent to
In x + 2 In 5 + In 1?
Answers
Answer:
ln(25x)
Step-by-step explanation:
ln(x) + 2ln(5)+ln(1) = ln(x) + ln(5^2) + ln(1)
= ln(x*5^2*1) = ln(25x)
-x+y=-2 in slope intercept form
Answers
Answer:
y = x - 2
Step-by-step explanation:
Slope intercept form is: y = mx + b, where m is the slope and b is the y- intercept. In this question, we are given everything, and all we need to do is rearrange the terms.
-x + y = -2
Add x to both sides
y = x - 2
In this equation, the slope is 1 and the y intercept is -2.
Answer:
Step-by-step explanation:
Y = mx + b
Y = x -2 after adding x to both sides of equation
m = 1 and b = -2
I GIVEEEEEEE BRAINLILSTTT
Answers
Answer:
F= (0,5)
G=(10,5)
H=(0,0)
Answer:
OK READY
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Step-by-step explanation:
your welcome
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Okay I need help so I just don't understand. The only thing I know is that 3^{2} means 3 times 3 but How do I solve the problem???
Answers
Answer:
(49-3square)÷(10-5)
(49-9)÷5
40÷5
8
PLEASE ANSWER QUICKLY
Answers
Answer:
C. 5
Step-by-step explanation:
6=-3x+21
6=-3(5)+21
6=-15+21
6
fy=x-4
Solve: 0
W = 6x – 10
Answers
So x=6/5 and y=-2.8
place the values of x on the equation and you will find y as -2.8
Points T and D are located on a number line. Point T has coordinate negative 4 and point D has coordinate 8.
Find the length of T D
Answers
Answer:
12 units?
Step-by-step explanation:
write the two tenths closest to 0.446 in the place-value chart.
Answers
Answer:
1,2
Step-by-step explanation:
The place-value chart's two tenths closest to 0.446 is 0.4. We can determine the place value of each digit based on its location in a number using the place value chart, which is a very useful table structure.
What is meant by place value chart?The place value chart is a very helpful table structure that enables us to determine each digit's place value based on where it is in a number. On the place value chart, a digit's place value increases as we move left and drops as we move right by a factor of ten.
Using a place value chart, we may compare the place values of the digits in a number and determine a digit's exact position. In this graph or figure, the place value of a number's digits increases as we move to the left and drops as we move to the right.
Given
0.446
In ones place is 0
In tens place is 4
In hundredth place is 4
In thousand place is 6
Therefore, The place-value chart's two tenths closest to 0.446 is 0.4.
To learn more about place value chart refer to:
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What is the value of y?
Answers
Answer:
y = 3√14 unit
... . . . ... . .
I hope it helps you
:-))
What is the midpoint on the segment shown below?
Answers
Answer:
I believe it's A
Step-by-step explanation:
Not sure though.
The amount of revenue in dollars, y, that Makayla receives from selling x posters is given by the equation y = 3x. The cost of producing x posters is given by the equation y = LaTeX: \frac{1}{3}x\:+\:2001 3 x + 200. How many posters does Makayla need to sell so that the cost and revenue are equal?
Group of answer choices
Answers
Answer:
75 posters
Step-by-step explanation:
Given
[tex]y = 3x[/tex] ---- Revenue
[tex]y = \frac{x}{3} + 200[/tex] --Cost of production
Required
Determine the number of posters that when cost equals revenue
To do this, we simply equate both equations
i.e. [tex]3x = \frac{x}{3} + 200[/tex]
Collect like terms.
[tex]3x - \frac{x}{3} = 200[/tex]
Multiply through by 3
[tex]3(3x - \frac{x}{3}) = 200*3[/tex]
[tex]9x - x = 600[/tex]
[tex]8x = 600[/tex]
Divide both sides by 8
[tex]\frac{8x}{8} = \frac{600}{8}[/tex]
[tex]x = \frac{600}{8}[/tex]
[tex]x = 75[/tex]
What is the area of the original rectangle?
Answers
Answer:
25cm2
Step-by-step explanation:
Answer:
Whats the answer?
Step-by-step explanation:
solve the following equations for g:2(g-h)=b+4
Answers
Answer:
g=b+4+2h/2
explanation:
first expand the brackets
let g be the subject of the equation
There are 3 consecutive odd integers that have a sum of 9.
Answers
Answer:
1+3+5
Step-by-step explanation:
I think
On Saturday the farmer planted 10 rows of tomato plants with p plants in each row on Sunday the farmer planted 6 rows of pepper plants with p plants in each row. Which expression gives the total number of plants the farmer planted this weekend?
Answers
Answer:
Step-by-step explanation:
40
Help plz:)))I’ll mark u Brainliest
In the word MISSISSIPPI, what is the ratio of the number of S'sto the total number of letters? (Write your answer as a fraction in simplest form.)
Answers
Answer:
4/11
Step-by-step explanation:
there are 4 s's and there are 11 letters in Mississippi so 4/11
Urgent please help! The high temperature in Garland dropped 3 degrees each day for five days straight. Which expression could NOT be used to find the total temperature change over the five days?
Answers
Answer:
First, see what is the temperature is on the first day before it dropped now on the fifth day see how much it drop from the first day to the last day hope this helped.
Step-by-step explanation:
Answer:
bababaqiooooooo
Step-by-step explanation:
i need help on this too