Answer:
Length=14.4
Width=3.6
Step-by-step explanation:
l=4w
2l+2w=36
2(4w)+2w=36
8w+2w=36
10w=36
w=3.6
l=4w
4(3.6)
l=14.4
*check by plugging in answers into 2l+2w=36*
Answer:
[tex]L=\frac{72}{5}[/tex] or 14.4
[tex]W=\frac{18}{5}[/tex] or 3.6
Step-by-step explanation:
Please take note this probably not the easiest way to do the problem.
Formula for the Perimeter of Rectangle
[tex]P=2L+2W[/tex]
We are given the perimter.
[tex]36=2L+2W[/tex]
[tex]L=4*W[/tex]
To solve I would use the Gauss-Jordan method. (it is advanced, but it makes sense to me)
[tex]36=2L+2W[/tex]
[tex]L=4*W[/tex]
Write the coefficients of each eqaution as rows in the matrix.
[tex]\left[\begin{array}{ccc}2&2&36\\1&-4&0\\\end{array}\right][/tex]
Divide the first row by 2.
[tex]\left[\begin{array}{ccc}1&1&18\\1&-4&0\\\end{array}\right][/tex]
Multiply row 1 by -1 and add it to row 2.
[tex]\left[\begin{array}{ccc}1&1&18\\0&-5&-18\\\end{array}\right][/tex]
Divide the second row by -5.
[tex]\left[\begin{array}{ccc}1&1&18\\0&1&\frac{18}{5} \\\end{array}\right][/tex]
Multiply row 2 by -1 and add it to row 1.
[tex]\left[\begin{array}{ccc}1&0&\frac{72}{5} \\0&1&\frac{18}{5} \\\end{array}\right][/tex]
We now have an augmented matrix.
[tex]L=\frac{72}{5}[/tex]
[tex]W=\frac{18}{5}[/tex]
The cost of a cab trip, y, is given by the table, where x is the number of miles traveled. Which THREE statements are
correct?
A)
The rate of change is $0.75.
B)
A ten mile trip would cost $12.00.
The initial passenger fee is $2.00.
D)
A twenty mile trip would cost $17.00.
E
The cost of a cab trip can be modeled by the function y = 1x + 2.
The three statements that describe this function are the rate of change is $0.75, the initial fee is $2, and a twenty-mile trip is $17.
What is a function?A function shows the mathematical relation between two factors. In this case, the factors are miles and cost.
What is true about this function:The rate of change is $0.75: The difference in the cost between one mile and the next one is always $0.75. For example, a 4-mile trip is $5 and a 3-mile trip is $4.25 (5-4.25= 0.75).The initial fee is $2: When the value of the miles is 0 the cost is $2, which shows this is the initial basic fee.A twenty-mile trip is $17: The function follows the pattern 2 + x (0.75); this means 2 + (20 x 0.75) = 2 + 15 = $17.Note: This question is incomplete because the image is missing. Here is the image:
Learn morea bout mathematical function in: https://brainly.com/question/18430152
Find any in the sequence -3, 6, -12, 24
Answer: 3
Step-by-step explanation:
go in evenly
what is the slope of the line pls help
Answer:
1/2
Step-by-step explanation:
The slope is the rise over the run, also known as the change in y value over the change in x value
m = 2/4 =1/2
We know it is positive since it goes up from the left to the right
The number is a/an...
국
A toy is shaped as a triangular prism. The toy has a
base of 108 square inches. What is the height of the toy if
the volume is 729 cubic inches?
Answer:
[tex]\huge\boxed{\sf h = 6.75 \ in.}[/tex]
Step-by-step explanation:
Given Data:
Base area = [tex]A_{B}[/tex] = 108 in.²
Volume = V = 729 in.³
Required:
Height = h = ?
Formula:
[tex]V=A_{B}h[/tex]
Solution:
For h, rearranging formula:
[tex]\displaystyle h = \frac{V}{A_{B}} \\\\h =\frac{729 \ in.^3}{108 \ in.^2} \\\\h = 6.75 \ in.\\\\\rule[225]{225}{2}[/tex]
I need to solve for “x” and then for “y”.
Step-by-step explanation:
[tex]13 - 4y = 1 - y(opposite \: angles \: of \: a \: parallelogram \: are \: equal) \\ 13 - 4y = 1 - y \\ - 4y + y = 1 - 13 \\ - 3y = - 12 \\ y = \frac{ - 12}{ - 3} \\ y = 4 \\ \\ 7x - 3 = 6x + 3(opposite \: angles \: of \: a \: parallelogram \: are \: equal) \\ 7x - 3 = 6x + 3 \\ 7x - 6x = 3 + 3 \\ x = 6 \\ x = 6 \: \: \: \: \: y = 4[/tex]
*please show your work *
Find the volume of the rectangular prism in cubic yards.
《V = lwh》
2 feet
5 feet
8 feet
Answer:
V = 80
Step-by-step explanation:
V = lwh
V = 8(5)(2)
V = 40(2)
V= 80
Learn with an example
Felipe's lacrosse team will play in the Hickory Hills Tournament this weekend. They will
play 6 different teams, each with a 50% chance of winning. How likely is it that Felipe's
lacrosse team will win all 6 of their games?
Which simulation could be used to fairly represent the situation?
Flip a coin 6 times. Each time the coin lands on tails, it represents Felipe's
lacrosse team winning a game.
Create a deck of 6 cards, each labeled with a different number from 1 to 6.
Pick a card, then return it to the deck, 6 times. Each time a 6 appears, it
represents Felipe's lacrosse team winning a game.
Use a computer to randomly generate 6 numbers from 1 to 3. Each time 1 or
2 appears, it represents Felipe's lacrosse team
Answer:
50% chance that they will win each game..and there's 6 games... so 3!
Step-by-step explanation:
What is the volume of Prism B if the volume of Prism A is 1120 in??
Answer:
140 in³
Step-by-step explanation:
The ratio of volumes of similar objects is proportional to the cube of the ratio of the linear dimensions.
__
Here, prism B is half the height of prism A, so will have (1/2)³ = 1/8 of the volume of prism A:
Vb = (1/8)×Va
Vb = (1/8)×(1120 in³) = 140 in³
The volume of Prism B is 140 cubic inches.
What is the sum of the infinite geometric series? −5+2−4/5+8/25−16/125...
Answer:
-25/7
Step-by-step explanation:
The sum of an infinite series with first term 'a' and common ratio 'r' is ...
S = a/(1 -r)
Your series has a=-5 and r=-2/5, so the sum is ...
S = (-5)/(1 -(-2/5)) = -5/(7/5) = -25/7
The sum of the series is -25/7.
Stephan cuts a 50-yard ribbon. One piece is 7 yards longer than the other. What is the length of each piece?
Answer:
It should be 32 and 18 but I'm bro entirely sure
Order the numbers from least to greatest.
13/50
22%
0.28
1/5
0.41
1/5, 13/50, 0.28, 0.41, 22%
Step-by-step explanation:
hopes this helps
Which expression can be simplified to the form 3\y + 3, where y is a positive integer?
Answer: Choice B) [tex]\sqrt{63}[/tex]
========================================================
Explanation:
Let's rewrite the given expression like so
[tex]3\sqrt{y+3}=\sqrt{3^2}\sqrt{y+3}\\\\3\sqrt{y+3}=\sqrt{9}\sqrt{y+3}\\\\3\sqrt{y+3}=\sqrt{9(y+3)}\\\\[/tex]
We can see that the radicand is a multiple of 9 since 9 is a factor.
This immediately rules out choices C and D because 75 and 84 are not multiples of 9.
-------------
Plug in the smallest positive integer (1) for y to get
[tex]\sqrt{9(1+3)}=\sqrt{9(4)} = \sqrt{36}\\\\[/tex]
The radicand 36 is larger than the radicand for choice A (18), meaning we can rule out choice A. There's no way to get a radicand of 18 since y = 1 is the smallest we can go for.
We can however get to 63 by using y = 4
[tex]\sqrt{9(4+3)}=\sqrt{9(7)} = \sqrt{63}\\\\[/tex]
Showing that choice B is of the form [tex]3\sqrt{y+3}[/tex] where y is a positive integer, specifically when y = 4.
Find the maximum number of children to whom 30 sweaters and 45
trousers can be equally distributed.also find how many sweaters and trousers each child got ?
Answer:
15 children2 sweaters; 3 trousers eachStep-by-step explanation:
The desired distribution can be found by factoring out the greatest common factor from two numbers.
30 sweaters + 45 trousers = 15(2 sweaters + 3 trousers)
Each of 15 children got 2 sweaters and 3 trousers.
_____
Additional comment
The two numbers can be factored as ...
30 = 2·3·5
45 = 3·3·5
The factors these numbers have in common are 3·5 = 15
Which shows the solution set to the
inequality below?
2x+35-5
A. H
-5 -4 -3 -2 -1
0 1
++
2 3 4 5
-
B. +
HHHHHH
-5 -4 -3 -2 -1 0 1 2 3 4 5
C. HA
++++
-5 -4 -3 -2 -1 0 1
0 1 2 3 4 5
D.
-5 -4 -3 -2 -1
+++++
0 1 2 3 4 5
Answer:
The answer is C hope this can help you out!
1) At a store, 40% of all the refrigerators are silver. There are 50 silver
refrigerators at the store. How many refrigerators are at the store?
In total there are 125 refrigerators at the store.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, at a store, 40% of all the refrigerators are silver.
There are 50 silver refrigerators at the store.
Let the total number of refrigerators at the store be x.
Here, 40% of x=50
40/100 ×x=50
0.4x=50
x=50/0.4
x=125
Therefore, in total there are 125 refrigerators at the store.
To learn more about the percentage visit:
brainly.com/question/24159063.
#SPJ2
How much is 240 in into ft
Answer:
How much is 240 in into ft 20 ft
Step-by-step explanation:
hope this helps
Keiko sold 3 less than three-fourths of his sister’s sales. Which expression represents what Keiko sold?
If a circle has a diameter of 11.5 feet, what is the area?
Answer:
103.87 ft.
In this case, area equals [tex]\pi r^2[/tex]
The diameter is [tex]2r[/tex]
But before worrying about anything else, we must start the problem. Let's do that now.
The first step is to find the broken-down form of the area.
A = [tex]\frac{1}{4} \pi d^2[/tex]
Next, break this equation into a solvable definition.
[tex]\frac{1}{4} * \pi * 11.5[/tex]
Lastly, solve this equation, and round.
[tex]A[/tex] ≈ [tex]103.86891~ft^2[/tex]
Order of Operations
40 + (1 + 2) - 2
3[16 - (2 + 5)]^2
100-50/100-3(2+3)^2
Answer:
41, 243, 2
Step-by-step explanation:
40 + (1 + 2) - 2
=41
3[16 - (2 + 5)]^2
=243
100-50/100-3(2+3)^2
=2
Can I please get help I don’t know how to use the numbers on the front
Solve this system of equations. -2x-4y=-12
Answer:
x = 6 and y = 3
Step-by-step explanation:
Your equation: -2x-4y=-12
__________________________________________________
First, we'll solve for x.
You need to divide -2x on both sides.
**We'll exclude/forget the -4y since we're not dealing with it right now.
-2x = -12
x = 6
When dividing with negatives, if both of the numbers are negatives they shall cancel and become positive.
-12 divided by -2 is 6 positive.
Therefore, x = 6
_______________________________________________________
Next, we'll solve for y
The same thing as last, we'll exclude our -2x since we're not dealing with it anymore.
-4y = -12
-12 divided by -4 is a positive answer since the two negatives cancel out.
-12/ -4 = 3
Therefore, y = 3
________________________________________________________
The proper vocabulary of the "x" and the "y" are x-intercept and y-intercept.
We just solved for both.
Using synthetic division, what is the width of the rectangle?
5 x squared + 4 x minus 6
5 x squared + 34 x + 108 + StartFraction 306 Over x + 3 EndFraction
5 x cubed + 4 x squared minus 6 x
5 x squared + 34 x + 108 + StartFraction 306 Over x minus 3 EndFraction
Answer:
c
Step-by-step explanation:
c
Answer:
its A!!!
Step-by-step explanation:
The graph shows the distance (d) in miles that an animal runs at a constant speed in (t) minutes. Which equation represents this situation.
What answer is this I can’t find it
Let g: R+R+ be defined by g(x) = x2 +1. Determine the domain, co-domain and range of g.
Domain:-
For any real x function is not undefined .
Domain belongs to RCodomain belongs to R+
Range:-
x² always ≥0Hence
range=[1,oo)Which values are in the solution set of the compound inequality –8 < 3x + 7 ≤ 10? Select three options. –15 –5 –3 0 1
Answer:
Your answers: -5, 0, 1
Step-by-step explanation:
–8 < 3x + 7 ≤ 10 That is the original compount inequality given.
We need to solve it in order to get an easy option.
-15, -5, -3, 0, 1 are the options.
_________________________________________________
Steps to solve:
–8 < 3x + 7 ≤ 10
Subtract 7 from both sides
–8 < 3x ≤ 10 - 7
Now do 10-7
–8 < 3x ≤ 3
Do 3x divided by 3
–8 < x ≤ 1
________________________________________________________
Evaluation and Answer Explanation:
–8 < x ≤ 1
That is your inequality statement.
The inequality statement states that "x" is greater than -8 but less than or equal to 1.
We can automatically choose 0 and 1 because 0 is greater than -8 and less than or equal to 1.
1 is correct because it is greater than -8 and less than or equal to 1
Now, there are two answers remaining: -15; -5.
Let's try -15.
-15 isn't greater than -8 but is less than 1. This is incorrect because it follows one inequality but doesn't follow both.
**Rule: the bigger you go on the negatives like -20 or -99 your numbers get smaller. If you go more towards the 0 like -1, -5, -3 your numbers get bigger.
-5 works because it is greater than -8 and less than or equal to 1.
Your answers: -5, 0, 1
Please answer the questions (for 50 points) Also please show work on the answer
Answer:
144 sq cm
Step-by-step explanation:
The base is a triangle. Area of a triangle is:
A = 1/2 b • h
A = 1/2(4)•3
A = 6
There are 2 of these bases.
Area of 2 bases= 12.
There are three rectangular sides. Area of a rectangle is:
A = l × w (or b•h)
A = 5 × 11 = 55
A = 3 × 11 = 33
A = 4 × 11 = 44
Add up three rectangular faces and two bases for Total Surface Area:
12 + 55 + 33 + 44
= 144 sq cm
Answer:
144 cm ²
Step-by-step explanation:
The surface area of a right triangular prism is made up of 2 congruent triangles (these are called the "bases") and 3 rectangles.
Surface area of a right triangular prism formula
Surface area = (S₁ + S₂ + S₃)L + bh
where:
S₁, S₂ and S₃ are the side lengths of the triangleL is the length of the prismb is the length of the base of the triangleh is the height of the triangle⇒ Surface area = (3 + 4 + 5)11 + 4 × 3
= (12)11 + 12
= 132 + 12
= 144 cm²
A rental car company charges $31.91 per day to rent a car and $0.07 for every mile driven. Hudson wants to rent a car, knowing that: He plans to drive 100 miles. He has at most $70 to spend. Which inequality can be used to determine xx, the maximum number of days Hudson can afford to rent for while staying within his budget?
Answer:
1.97 day; 1 day.
Step-by-step explanation:
0.07*100 = 7
31.91x - 7 = 70
70 - 7 = 63
31.91x = 63
63 / 31.91 = 1.97
Find the slant height of the prism
a.10
b.5
c.7
d.3
Check the picture below.
