Geometric Applications: For the next three questions, use the information below:
A rectangle has a side with a length of 8ft and a width of (2x+4)ft.
Label the rectangle
15 pts
a) Find the perimeter of the Rectangle:
b) Find the area of the rectangle:
c) If the total Area is 80 square feet, find the width in feet.

Geometric Applications: For The Next Three Questions, Use The Information Below:A Rectangle Has A Side

Answers

Answer 1

Answer:

a)Perimeter= 2(8+2x+4)

=(24+4x)ft

b)Area= 8(2x+4)

=(16x+32)square ft

c)16x+32=80

x=3

width= 2x+4 = 2(3)+4 =10ft


Related Questions

Choose the function that the graph represents.
Click on the correct answer.

Answers

Answer:

y=log_2 (x)

Step-by-step explanation:

We see that the graph passes though the point (2,1). So we can write:

log_a (2) = 1  => a = 2

So it's a log in base 2.

What is 8 hours and 37 minutes converted into minutes?

Answers

Answer:

517 minutes

Step-by-step explanation:

Hope this helps:))

Answer:

517 mins

Step-by-step explanation:

1hour=60min

8hour=480min

37min is the same because it is already in minutes

480+37=517mins

1) To solve this system of equations by elimination, what operation could be used to eliminate the y-variable and find the value of x?
2x - 4y = 6
-3x + 3y = 12
A) add 3 times the second equation to 4 times the first equation
B) add 4 times the second equation to 3 times the first equation
C) subtract 3 times the second equation from 4 times the first equation
D) subtract 4 times the second equation from 3 times the first equation

PLEASE HELP!!!

Answers

Answer:

Option B is correct.

add 4 times the second equation to 3 times the first equation

Step-by-step explanation:

Answer:

B) add 4 times the second equation to 3 times the first equation

Step-by-step explanation:

So you have these two equations:

2x - 4y = 6

-3x + 3y = 12

In order "to solve this system of equations by elimination" we want to make BOTH of the equations have a term (in this case the y term) and have the same coefficient (that's the number right next to the y) If they are the exactly same number, even the same sign in front, then we would subtract the equations. If they have the same coefficient but different signs, then we would add the equations. This will eliminate the y term completely. So in order to make them have the same coefficient. We'll multiply the first equation by 3 and the second equation by 4

3(2x - 4y = 6)

4(-3x + 3y = 12) multiplying all the way across the equation (distributing)

We'll get

6x -12y = 18

-12x + 12y = 48 Then you are actually adding from the top, down and get one equation from adding the two existing ones together.

-6x = 66 And then you are able to solve it by dividing both sides by -6 to get

x = -11

You can then use either equation and x = -11 to find y. Your solution is the x, y pair. You can check it by putting the x and y into both equations and finding it makes a true statement in both.

Which of the following is the graph of y=x+3

Answers

Answer:ITS THE SECOND ONE

Step-by-step explanation:

Help help math math

Answers

Answer:

y = 1/2x + 3

Step-by-step explanation:

Y= mx+b is slope-intercept form, m is for slope, and b is for my y-intercept. Also remember the pitch is the rise over the run or the y-direction over the x-direction.

In our case, they highlight 2 points to calculate the slope; looking at the graph, we can see it rises one and runs two to get to the second highlighted point at (2,4). And my slope is rise over run, so here it 1/2.

My b or y-intercept is simply three because that is where the line passes over or intercepts the Y-axis

Answer: y = 1/2 x + 3

Step-by-step explanation:

Find the HCF of 150 and 250.

Answers

Answer:

It is 50

Step-by-step explanation:

Hope this helps

Answer:

50

Step-by-step explanation:

Mary charges $5.60 per square foot of carpet, plus a $150 installation fee. How much should Mary charge the customer to the nearest cent?

Answers

Answer:

Step-by-step explanation:

Total = t

Square feet = f

t = 5.6f + 150

you didnt say how many square feet the customer wanted, but just plug it in for f and t is the answer

Answer:

375.30

Step-by-step explanation:

it's 375.302 but simplified to 375.30

3.
In parallelogram ABCD, M m

Answers

Answer:

Please send a picture or explain properly

If [tex]x^{2} + y^{2} = 6[/tex] and [tex]x + y = \sqrt{7}[/tex], then what is [tex]x-y[/tex]?

Answers

Recall that

(x + y)² = x² + 2xy + y²

Then if x + y = √7 and x² + y² = 6, we have

(√7)² = 6 + 2xy   ⇒   2xy = 1

We also have

(x - y)² = x² - 2xy + y²

so that

(x - y)² = 6 - 1   ⇒   (x - y)² = 5

which means x - y has two possible values, √5 or -√5.

Which equation best matches the graph shown below?

Answers

Answer:

y= 10x² + 7x + 2.8

Step-by-step explanation:

because the 10x was used twice then the it went to the line of 7x and went down to 2.8 then for the second time it went to 10x

Answer:

-10x^2+7x+4 Would be the correct option

Please thank my question. :)

LCM of two numbers is 1134 and HCF is 18. if one of the numbers is 162, find the other. number.

Answers

Answer:  126

=====================================================

Work Shown:

Let x and y be the two numbers.

We're given x = 162 and the variable y is unknown.

We're also given LCM = 1134 and HCF = 18

So,

LCM = (x*y)/HCF

1134 = 162*y/18

1134 = (162/18)y

1134 = 9y

9y = 1134

y = 1134/9

y = 126

The other number is 126

---------------------

Notice that

162 = 18*9126 = 18*7

showing that 18 is the highest common factor (HCF) of the numbers 162 and 126. This partially confirms the answer.

Now let,

A = multiples of 162B = multiples of 126

So,

A = 162, 324, 486, 648, 810, 972, 1134, 1296, ...B = 126, 252, 378, 504, 630, 756, 882, 1008, 1134, 1260, ...

We see that 1134 is in each list of multiples and the smallest such common item. So the lowest common multiple (LCM) of 162 and 126 is 1134. This helps fully confirm the answer.

Please look for the question in the picture.

Answers

Answer:

x = 8

Step-by-step explanation:

[tex]\frac{1}{4} x-\frac{3}{5} =1\frac{2}{5}[/tex]

[tex]\frac{1x}{4} -\frac{3}{5} =\frac{7}{5}[/tex]

[tex]\frac{1x}{4} =\frac{7}{5} +\frac{3}{5} \\[/tex]

[tex]\frac{1x}{4} =\frac{10}{5}[/tex]

Use cross multiplication.

[tex]5x=4*10[/tex]

[tex]5x=40[/tex]

[tex]\frac{5x}{5}=\frac{40}{5}[/tex]

[tex]x=8[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Hello There!

Question:-

[tex]\sf \longmapsto1/4x-3/5=1\dfrac{2}{5}[/tex]

We need to find the value of x.

Solution:-

Convert[tex] \dfrac{2}{5}[/tex] to improper fraction:-

[tex] \sf \longmapsto\dfrac{1}{4} x + \dfrac{ - 3}{5} = \dfrac{7}{5} [/tex]

Add 3/5 to both sides:-

[tex]\sf \longmapsto \: \dfrac{1}{4} x + \dfrac{ - 3}{5} + \red {\dfrac{3}{5}} = \dfrac{7}{5} + \red{\dfrac{3}{5}} [/tex]

On Simplification:-

[tex]\sf \longmapsto \: \dfrac{1}{4} x + \dfrac{ 3}{5} - \dfrac{3}{5} = \dfrac{7 + 3}{5} [/tex]

[tex]\sf \longmapsto \: \dfrac{1}{4} x - 0 = \cancel \dfrac{10}{5} [/tex]

[tex]\sf \longmapsto \dfrac{1}{4} x = 2[/tex]

Multiply both sides by 4 :-

[tex]\sf \longmapsto \: \red4 \times \bigg( \dfrac{1}{4} x \bigg) = \red 4 \times 2[/tex]

On Simplification:-

[tex]\sf \longmapsto \: \cancel 4 \times \dfrac{1}{ \cancel4}x = 4 \times 2[/tex]

[tex]\sf \longmapsto \: x = 8[/tex]

______________________________________

Henceforth,The value of x is :-

[tex] \boxed{ \huge\bf \: x = 8}[/tex]

________________________________

Please let me know if you have any questions.

~MisterBrian

Consider f and c below. f(x, y) = x2 i + y2 j c is the arc of the parabola y = 2x^2 from (−1, 2) to (0, 0)
(a) find a function f such that f = ∇f.
f(x, y) =
(b) use part (a) to evaluate c ∇f · dr along the given curve C.

Answers

(a) If there is a scalar function f(x, y) such that ∇ f(x, y) = x² i + y² j, then

∂f/∂x = x²

∂f/∂y = y²

Integrating both of these equations with respect to x and y (respectively) gives

f(x, y) = 1/3 x³ + g(y)

f(x, y) = 1/3 y³ + h(x)

Differentiating with respect to the other variable gives

∂f/∂y = g'(y) = y²

∂f/∂x = h'(x) = x²

so it follows that

f(x, y) = 1/3 x³ + 1/3 y³ + C

for some constant C.

(b) By the gradient theorem,

[tex]\displaystyle \int_C \nabla f \cdot d\vec r = f(0,0) - f(-1,2) = \boxed{-\dfrac73}[/tex]

a book is marked down by 28% from the original price of 19.50 what is the new price​

Answers

Answer:

$14.04

Step-by-step explanation:

to find the answer we can multiply 19.5 by 28% and use that answer to subtract to 19.5 or we can just directly multiply 19.5 by 72%

19.5 * 72% = 14.04

it costs $14.04 after a markdown of 28%

(1) Mr. Jones finished correcting 6 out of 7 homework assignments. Miss Smith finished
correcting 83% of that week's homework assignments. Which teacher corrected a greater
percentage of her homework assignments?

Answers

Answer:

Mr. jones

Step-by-step explanation:

6/7 is 85.71% which is greater than 83%.

Which type of correlation does this scatterplot show?

Answers

Answer:

i think the answer to this question is positive correlation

Step-by-step explanation:

this image below may help u

Positive correlation. It is a positive correlation if y increases when x increases or y decreases when x decreases.

Find the Values of X and Y
X=
Y=

Answers

Answer:

14 and 12

Step-by-step explanation:

Simplify the ratio:

42 : 28 : 21

Please explain step by step to get marked as brainliest!

Answers

Answer:

6:4:3

Step-by-step explanation:

Use 7 to simplify

1. What kind of interest does credit card P illustrate? ​

Answers

Answer:

Interest rates can come in all sizes, but for credit cards they generally fall into one of three categories:

variable rate, fixed rate and promotional rate. Most companies issue cards tied to revolving credit. Users of these cards are allowed to carry a balance on their accounts at the end of every billing cycle.

Step-by-step explanation:

Hope this helps you !!

the distance between(3,-3) and (-3,5)

Answers

Answer:

10 units

Step-by-step explanation:

use distance formula to solve for this!

distance formula is

the square root of the change in x squared + the change in y squared.

sqrt (3+3)^2 + (|-3-5|)^2

sqrt 36 + 64

sqrt 100 = 10

the distance is 10 !

Answer:

the ditstance between (3,-3) and (-3,5) is 10

Step-by-step explanation:

we know the distance in a cartesian axis is

[tex] \sqrt{(x2 - x1) ^{2} + (y2 - y1) ^{2} }[/tex]

so the answer is calculated 10

135% as a fraction or a mixed number fully simplified please 50 POINTS + BRAINILEST

Answers

Answer:

27/20

Step-by-step explanation:

135% = 135/100 = (27/20 × 5) = 27/20 = 1 7/20 I think

vnicn letter on the map indicates the location of the North China Plain?
AAA
o
О В
О С
OD
F

Answers

Answer:

The letter C

Step-by-step explanation:

North china plain runs along near the northern east border. It's territory has a noticeable river going through it, and is close to the Gulf of Jilin. A is most likely not correct, since North china plane doesn't go up that high the Yellow river. So it is safe to assume the answer is most likely C

Which expression shows how 8⋅54 can be rewritten using the distributive property?




4⋅50+4⋅4

50⋅8+50⋅4

8⋅50+8⋅4

8⋅50+8⋅54

Answers

Answer:

8 • 54=8 • 50 + 8 • 4

Option C is the right answer

Step-by-step explanation:

Answer:

C I think, sorry if I'm wrong

Solve each inequality 5 + 5(x + 4) = 20

Answers

Answer:

5 x + 25 ≤ 20

Step-by-step explanation:

Simplify 5  +  5  (  x  +  4  ) .

5  + 5 x  +  20  ≤  20

Add  5  and 20 .

The mass of a sheet of metal varies jointly with its area and its thickness. A sheet of metal of area 250cm2 and thickness 1mm has a mass of 200g. Find the formula which connects the mass M g, the area A cm2 and the thickness 1mm. Hence find the mass of a piece of metal of area 400 cm2 and thickness 3mm​

Answers

The Formula of the relation is M = 8AT.

The mass of the metal sheet is 960 g.

The expression below shows the variation between the mass of the sheet (M), Area of the Sheet(A), and thickness (T).

Proportionality:

M ∝ AT

Removing the proportionality sign,

M = KAT

Where:

K = constant of proportionality.

make K the subject of the equation:

K = M/KT.................... Equation 1

From the question,

Given:

M = 200 gA = 250 cm²T = 1 mm = 0.1 cm

Susbtitute into equation 1

K = 200/(250×0.1)K = 8 g/cm³

Formula:

M = 8AT................. equation 2

Hence the formula of the relation is M = 8AT

If,

A = 400 cm²T = 3 mm = 0.3

Substitute these values into equation 2

M = 8(400)(0.3)M = 960 g

Hence,  the mass of the metal sheet is 960 g

Learn more about joint variation here: https://brainly.com/question/26047253

A rectangle that measures 10 inches by 7 inches.

Which expression will determine the perimeter, in inches, of the rectangle?

Answers

Answer:

( 2 x 10 ) + ( 2 x 7)

Step-by-step explanation:

Hope this helped!

Answer: 34 inches  Perimeter = 2L + 2W

Step-by-step explanation:

A rectangle has two sets of equal side lengths.    We'll assign 10 inches to the length, L, and 7 inches to the width, W.

The perimeter of a rectangle is 2L + 2W

Perimeter, P = 2(10) + 2*(7)

P = 20 + 14

P = 34 inches

Find the vale of x need help

Answers

Answer:

x=45 degrees

Step-by-step explanation:

You can see based off of the markings on the 2 sides, that it is an isosceles triangle, so that means the 2 base angles are equal.

so 2x+90=180 degrees

so 2x=90 degrees

x=45  

Answer:

[tex]x=45[/tex]

Step-by-step explanation:

→a+b+c=180

→Angle a is given to be 90 degrees

→ Also the other to angles are the same length so the same angle

[tex]90+2x=180[/tex]

Step 1: Subtract 90 from both sides.  

[tex]2x+90-90=180-90[/tex]

[tex]2x=90[/tex]

Step 3: Divide both sides by 2.

[tex]\frac{2x}{2} =\frac{90}{2}[/tex]

[tex]x=45[/tex]

Answer:x=45

7. Derek has $20 to spend on used books. Hardcover books cost $5 each and paperbacks cost $2 ea Write an equation that models the situation.​

Answers

You could use 5x+2x=20

Sierra left $4.50 as a tip for a waiter. This was 18% of the bill before the tip. How much was her bill before adding the tip?

Answers

Answer:

25

Step-by-step explanation:

what is 4.5 18% of

100 / 18 = 5.56

4.5 x 5.55... = 25

$25

4.50 = 18%
0.25 = 1%
25 = 100%

*WHOEVER SOLVES THIS RIGHT WILL GET BRAINLIEST*

Question: 67-32x=54-34 solve for X.

Answers

67-32x= 54-34

Subtract 54-34

you would get 20

67-32x= 20 (subtract 67 from both sides of the equation )

-67            -67

-32x/-32=  -47/-32     (Divide -32  on the both sides )

You get a decimal :

x= 1.46875    

Round this answer:

x= 1.5

Answer:

x = 47/32 or 1.46875 ( 1.5 rounded)

Step-by-step explanation:

1) Simplify 54 - 34 to 20.

67 - 32x = 20.

2) Subtract 67 from both sides.

-32x = 20 - 67.

3) Simplify 20 - 67 to -47.

-32x = -47.

4) Divide both sides by -32.

x = -47/-32.

5)  Two negatives make a positive.

x = 47/32

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