The figures below show sketches of Earl's and Dylan's flower gardens. If the perimeter of each of their gardens is the same, what is the length and width of Earl's garden?
Answers
Answer:
[tex] length = 12 ft [/tex]
[tex] width = 8 ft [/tex]
Step-by-step explanation:
Earl's garden:
[tex] length = (x + 6) ft [/tex]
[tex] width = (x + 2) ft [/tex]
[tex] perimeter = 2(length) + 2(width) [/tex]
[tex] perimeter = 2(x + 6) + 2(x + 2) [/tex]
[tex] perimeter = 2x + 12 + 2x + 4 = (4x + 16) ft [/tex]
Dylan's garden:
[tex] length = (2x - 2) ft [/tex]
[tex] width = (x + 4) ft [/tex]
[tex] perimeter = 2(length) + 2(width) [/tex]
[tex] perimeter = 2(2x - 2) + 2(x + 4) [/tex]
[tex] perimeter = 4x - 4 + 2x + 8 = (6x + 4) ft [/tex]
Generate an equation to solve for the value of x.
Since the perimeters of both gardens are the same, therefore:
[tex] 6x + 4 = 4x + 16 [/tex]
Collect like terms
[tex] 6x - 4x = - 4 + 16 [/tex]
[tex] 2x = 12 [/tex]
Divide both sides by 2
[tex] x = 6 [/tex]
Earl's garden:
[tex] length = (x + 6) ft [/tex]
Plug in the value of x
[tex] length = 6 + 6 = 12 ft [/tex]
[tex] width = (x + 2) ft = 6 + 2 = 8 ft [/tex]
Answer:
l: 12ft
w: 8ft
Step-by-step explanation:
Related Questions
Given h(x) = 3x + 4, solve for x when h(x) = 1
(Will mark brainliest)
Answers
Answer:
x is -1
Step-by-step explanation:
subtract 4 from 1 to get -3, then you have -3+3x then divide both sides by 3 to get x+-1
Answer:
-1
Step-by-step explanation:
What is 3/2
5= Pls help me i have no clue and i have a math test soon pls help me
Answers
Answer:
15/2
Step-by-step explanation:
You have 3/2 5so you do 3 x 5 which is 15 then you have the answer. You keep the bottom number the same always
Write an equation of the line that passes through (3,7) and is parallel to the line shown.
An equation of the parallel line is y=__.
Answers
at first we should find the equation of this line so we should find a in the equation of y = a x + b and we do not care about b as it is parallel so a = ( (4 -(-2)) ÷ 1 -(-2)) = 2 so y = 2 x + b and we put x = 3 and y = 7 the result is 7 = 2×3 + b and b = 7 - 6 = 1 the equation is y = 2x + 1
Jesse wants to purchase three binders and a backpack. If the backpack costs $16, which equation represents the situation in which x denotes the cost per binder and y denotes the total cost of Jesse’s purchase?
Answers
The 16 is the cost of the backpack, which you add to the 3 binders which cost x each. This gives you the total, y.
Hope this is helpful!!
The equation represents the situation in which x denotes the cost per binder and y denotes the total cost of Jesse’s purchase is 16+3x=y.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Jesse wants to purchase three binders and a backpack. If the backpack costs $16
From the data given in the question:
The linear equation can be framed as follows:
y = 16 + 3x
Or
16 + 3x = y
Thus, the equation represents the situation in which x denotes the cost per binder and y denotes the total cost of Jesse’s purchase is 16+3x=y.
The options are:
16+y=3x
16+3x=y
y+3x=16
3+16x=y
Learn more about the linear equation here:
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2.8 x 10^3=
What is the answer
Answers
Answer:
9.24
Step-by-step explanation:
Solve for m.
m+9=-2
m=?
Answers
subtract 9 to both sides
Answer:
-11
Step-by-step explanation:
Because you just carry the nine over which when you switch it sides it becomes negative so it's -9 + -2 which equals negative 11
The domain for the graph (in interval notation) is
Answers
Answer:
Domain: [-3, 1]
Step-by-step explanation:
Doman is the set of x-values that can be inputted into function f(x).
We see that our x-values span from -3 to 1. Since both have no holes, they are included in our domain:
[-3, 1] or -3 ≤ x ≤ 1
1. nine more than thirty divided by ten
Answers
Answer:
3.9
Step-by-step explanation:
nine more than thirty=39
39/10=3.9
Triangle EFG has vertices E(–3, 4), F(–5, –1), and G(1, 1). The triangle is translated so that the coordinates of the image are E’(–1, 0), F’(–3, –5), and G’(3, –3).
Which rule was used to translate the image?
T4, –4(x, y)
T–4, –4(x, y)
T2, –4(x, y)
T–2, –4(x, y)
Answers
Answer:
C.) T2, -4(x, y)Step-by-step explanation:
did on edge :)
The rule of translation of the triangle EFG is (c) T-2,4(x,y)
How to determine the translation rule?We have:
Pre-image: E(–3, 4), F(–5, –1), and G(1, 1).Image: E’(–1, 0), F’(–3, –5), and G’(3, –3).Taking E and E', we have:
E = (-3, 4)
E' = (-1, 0)
Subtract E from E'.
So, we have:
(x, y) = (-1 + 3, 0 - 4)
Evaluate
(x, y) = (2, -4)
This can be rewritten as:
T-2,4(x,y)
Hence, the rule of translation is (c) T-2,4(x,y)
Read more about translation at:
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What is the median of this set of values?
6, 8, 10, 8, 4, 2, 12
A. 4
B. 6
C. 7
D. 8
Answers
Answer:
D.8
Step-by-step explanation:
In order to find median you need to find the middle number of the set by crossing each one out until you get to the middle. I hope this helps!
if u pour all the liquid in a cone into a cylinder with the same height and radius then you will fill half of the cylinder with liquid
Answers
Answer:
No, the liquid will not fill half of the cylinderStep-by-step explanation:
The volume of a cylinder is 3 times bigger than a cone with equal radius and height
To know this we have to compare the volumes of both solids first.
Let us assume the height and radius of the cone and radius are
6 and 2 mm respectively
so that the volume of a cone is given as
Volume of cone= 1/3 πr^2h
and the volume of cylinder is given as
Volume of cylinder= πr^2h
1. Volume of cone= 1/3 πr^2h
Volume of cone= 1/3 *3.142*(2)^2(6)
Volume of cone= 75.408/3
2. Volume of cylinder= πr^2h
Volume of cone= 3.142*(2)^2(6)
Volume of cone= 75.408
From the analysis the volume of a cylinder is three times bigger the volume of a cone with similar radius and height
Fertilizer for your lawn has to be mixed with water. Every 5 ounces of mix needs 1 gallon of water. How many cups of mix do you need if you are using 8 gallons of water?
Answers
Answer:
5 cups
Step-by-step explanation:
There are 8 ounces in a cup, so the ratio given is ...
5/8 cup : 1 gallon
Multiplying this by 8, we have ...
5 cups : 8 gallons
If you are using 8 gallons of water, you need 5 cups of mix.
im sorry I got the answer wrong and and was trying to delete it my original answer was 40 before zI realized i said ounces
2.5/6 = h/9 h=? What does this mean
Answers
Answer:
h = 3.75
Step-by-step explanation:
Step 1: Write equation
2.5/6 = h/9
Step 2: Solve for h
Cross multiply: 22.5 = 6hDivide both sides by 6: 3.75 = hRewrite: h = 3.75Step 3: Check
Plug in h to verify it's a solution.
2.5/6 = 3.75/9
0.416667 = 0.416667
Answer:
h = 3.75
Step-by-step explanation:
Given
[tex]\frac{2.5}{6}[/tex] = [tex]\frac{h}{9}[/tex] ( to solve for h, cross- multiply )
6h = 22.5 ( divide both sides by 6 )
h = 3.75
can someone please help me and explain how to change 2x − 3y = 9
into slope intercept form
Answers
Answer:
y=2/3x-3
Step-by-step explanation:
first, you have to isolate the y, so subtract 2x from both sides. -3y=-2x+9
Next, we must divide all sides by -3, so y=-2/-3x-3
Finally, simplify the equation to y=2/3x-3
Answer:
y=mx+b
y=2/3x + -3
2/3 is the slope points are (0,-3)
Step-by-step explanation:
2x-3y =9
subtract 2x from each side leaving it -3y = -2x +9
now divide both sides by -3 -3y/-3=-2x/-3 +9/-3
y= 2/3+ -3
Which is the right answer?
Answers
Answer:
Most likely B.
Step-by-step explanation:
A. When being compared to each other, they're not alternate interior angles.
B. I think so...?
C. Angle 3 is the only interior angle.
D. Pretty sure that they have to be on the same line to count as "supplementary".
Solve for a.
a+0.3=−2
Answers
Answer:
a = −2.3
Step-by-step explanation:
Move all terms not containing a to the right side of the equation.
Answer:
a = -2.3
Step-by-step explanation:
move 0.3 onto the other side so it becomes -0.3now it is : a = -2 - 0.3(-2 - 0.3) is just -2.3a = -2.31. How can you tell the difference between the pre-image and image when only given the coordinates or a picture.
Answers
Step-by-step explanation:
Factor the binomial completely
4x - 20
Answers
Answer:
Step-by-step explanation:
Step-by-step explanation:
i think the answer must be like this (4)(x‒5)
i hope it helps you
Omari and his two cousins received the same amount of money to go to the movies. Each boy spent $15. Afterward, the boys had $30.75 altogether. How much money did each boy receive?
Answers
Answer:
Each boy recieved $25.25 each
Step-by-step explanation:
First, you add up all the money the 3 boys spent.
15+15+15=45
Then you add the sum of the equation to the amount all the boys had afterward.
45+30.75=75.75
Finally, you divide that product to 3 boys.
75.75/3=25.25
Therfore the answer is $25.25 each.
What is the y intercept of this graph?. What is the slope?
Answers
Answer:
y intercept is -3
slope is 4
y=4x-3
Step-by-step explanation:
A recycling center has 100 kilograms of shredded plastic yogurt containers. What volume in m3 is needed to hold this amount of shredded plastic? Assume the lowest density within the range.
Answers
AnswerI dont kow
Step-by-step explanation:
A student did an experiment to test the hypothesis that brand name paper towels soak up water better than generic paper towels. What would be the independent variable in the student's experiment?
Answers
Answer: The independent variable is the brand and the dependant variable is the amount of water you use.
Step-by-step explanation:
The Independent variable is the condition that you change in an experiment.
The dependant variable is the condition that you measure in an experiment.
The independent variable in the student's experiment is the type of paper towel used.
In an experiment, there are three types of variables:
The independent variable : the experimenter can change or manipulate this variable in order to determine its effect on the dependent variable. The dependent variable : this is the variable whose value would be determined in the experiment.The extraneous variable : this is the variable that can affect the result of the experiment but it is not researched in the experiment.In this question the type of towel used would determine the amount of water that can be absorbed. This makes the type of towel used the independent variable. The dependent variable is the amount of water absorbed.
To learn more about independent variables, please check: https://brainly.com/question/1479694?referrer=searchResults
what is the unit rate of (0,0) and (12, 16)
A) 0.25 cm/s
B) 0.33 cm/s
C) 0.75 cm/s
D) 1.33 cm/s
Answers
To integers between eight is six and seven c
Which is a rational number?
-15/4
-7/9
4 with a rational sign?
pi
Answers
Answer:
All are rational numbers I guess
Step-by-step explanation:
NoTE : I'm not sure
Answer:
For the first one its 7/9 ig
Look carefully at the graph and find the slope.
Answers
Answer:
1/10
Step-by-step explananation:
for the equation x + y = 3. How many possible values for x are there if x and y are both whole numbers?
A.2
B.3
C.4
Answers
Answer:
A
Step-by-step explanation:
Because it is 2+1 and 3+0, those are the only solution, therefore A is correct
======================================================
Explanation:
The set of whole numbers is {0, 1, 2, 3, ...}
So we include 0 and any positive number that doesn't have decimal or fractional components to it. Negative values are not included.
If we plug in x = 0, then x+y = 3 solves to y = 3If we plug in x = 1, then x+y = 3 solves to y = 2If we try x = 2, then x+y = 3 solves to y = 1Lastly, x = 3 leads to y = 0Whatever you pick for x, the y value must add to it to get 3. Both x and y must be numbers from the set of whole numbers.
There are four cases shown in the bullet points above, so we have four different solutions. We can't move onto x = 4 because the y solution would be y = -1, but -1 is not in the set of whole numbers.
Choose the definition of the function
Answers
explanation
Answer:
answer is A
Step-by-step explanation:
Regina drew a triangle with vertices at ( 1 , 2 ) , ( 3 , 3 ) , and ( 4 , 1 ) . She slides the triangle 2 units down to create an image. What are the vertices of the image?
A. ( 1 , 0 ) , ( 3 , 1 ) , and ( 4 , − 1 )
B. ( 1 , 4 ) , ( 3 , 5 ) , and ( 4 , 3 )
C. ( − 1 , 2 ) , ( 1 , 3 ) , and ( 2 , 1 )
D. ( 3 , 2 ) , ( 5 , 3 ) , and ( 6 , 1 )
Answers
Answer:
A) (1,0), (3,1), and 4,-1)
Step-by-step explanation:
subtract 2 from all of the y-values
(1,0), (3,1), and (4,-1)
So it's A.
Answer:
The answer is A.
Step-by-step explanation:
It would be best to graph this yourself and move each plot down 2 units. Your answer would be the location of the plots after moving them.
-2.5(-2-3x)+2.5(-4x-1)=-2x-4x
Answers
Answer:
x=−0.714286
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−2.5(−2−3x)+2.5(−4x−1)=−2x−4x
(−2.5)(−2)+(−2.5)(−3x)+(2.5)(−4x)+(2.5)(−1)=−2x+−4x(Distribute)
(7.5x+−10x)+(5+−2.5)=(−2x+−4x)(Combine Like Terms)
Step 2: Add 6x to both sides.
Step 3: Subtract 2.5 from both sides.
Step 4: Divide both sides by 3.5.
x=−0.714286
How do you isolate a variable?
Answers
Answer:
a variable is isolated by using the many properties.
these are addition, subtraction, division, and multiplication
Step-by-step explanation:
hope this helps!
