PLEASE SHOW YOUR WORK.


Shawn designs a rectangular garden as shown below. He will design both rock sections to have the same width (x).


The area in, square feet, of Shawn’s garden is found be calculating 15(2x + 7). Shawn incorrectly says the area can also be found using the expression 30x + 7.


Describe the error in Shawn’s expression. As part of your explanation, find the difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression.

Answers

Answer 1

Answer:

a) Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7

b) The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as

98 square feet

Step-by-step explanation:

The area in, square feet, of Shawn’s garden is found be calculating 15(2x + 7). Shawn incorrectly says the area can also be found using the expression 30x + 7.

The correct area =

15(2x + 7).

= 30x + 105 square feet

The error in Shawn’s expression is

= 15(2x + 7)

= 30x + 7 square feet

Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7

The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as

30x + 105 square feet - 30x + 7 square feet

= 30x + 105 - (30x + 7)

= 30x - 30x + 105 - 7

= 98 square feet


Related Questions

A regular polygon has 12 sides find the size of each of its interior angles​

Answers

Answer:

150°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° ( n - 2) ← n is the number of sides

Here n = 12, then

sum = 180° × 10 = 1800°

Since there are 12 interior angles, then

size of each interior angle = 1800° ÷ 12 = 150°

Light travels at a speed of 1.8 x 10^7 miles per second. Pluto's average distance from the sun is 3,600,000,000 miles. on average how long does it take sunlight to reach Pluto?

Answers

Answer:

5 hours 8 mins?

Step-by-step explanation:

Please help clarify answer and step by step explanation

Answers

Answer:

10

Step-by-step explanation:

When u cross multiply

[tex]5 \div x = 3 \div6[/tex]

= 3x=30(5*6)

= x=30/3

=x=10

help please?? hurry!! Find the values of the variables in the diagram above

Answers

Answer:

C = 95 degrees.

Step-by-step explanation:

The line is being intersected by parallel lines, so that means that those angles will add up to 180. 180-85=95.

Madison is going to hike to the point (4,4) on the coordinate grid, which is the top of the

mountain shown.

7

6

5

2

0

1 2 3 4 5 6 7 8

What is the approximate total distance Madison travels while she moves up the mountain?

o

16

o

5.66

32

8.34

Answers

Answer:1212321312Step-by-step explanation:

2131313

A $1,400 loan has a simple annual interest rate of 4%. How much simple
interest is paid on the loan for 1 year?
A
$56.00
B
$67.20
C $560.00
D $672.00

Answers

Answer:

the answer is c

Step-by-step explanation:

1:Kevin Williams earns a weekly wage of $870. During the most recent week, he worked 47 hours. Gross Pay = $ 2:Charles Joyner earns a biweekly wage of $2,400. During the most recent week, he worked 42 hours. Gross Pay = $ 3:Julio Valdez earns an annual salary of $63,000. During the most recent week, he worked 42 hours. Gross Pay = $ 4:Bridget Stein earns a monthly salary of $7,300. During the most recent week, she worked 58 hours. Gross Pay = $ 5:Betsy Cranston earns a semimonthly salary of $2,100. During the most recent week, she worked 50 hours. Gross Pay = $

Answers

Answer:

Step-by-step explanation:

For all values of x, f(x) = x^2 + 1 and g(x) = x-5
(a) Show that fg(x) = x^2 - 10x + 26
(b) Solve fg(x) = gf(x)

Answers

Answer:

a)  f g(x) =  x³ - 5 x² + x -5

b) g(f(x) =  x³ - 5 x² + x -5

Step-by-step explanation:

Step(i):-

Given that f(x) = x² + 1 and g(x) = x-5

a)

      f(g(x)) = f(x-5) = (x-5)²+1 = x² - 10x +25 +1 = x² - 10 x +26

Step(ii):-

a) f g(x)  = f(x) g(x) = (x² + 1 )(x-5) = x³ - 5 x² + x -5

b)   g(f(x)  = g(x) f(x) = (x-5) (x²+1) =  x³ - 5 x² + x -5

PLS HELP ASAP I DONT HAVE TIME FOR THIS, IT ALSO DETECTS IF ITS RIGHT IR WRONG

Answers

Answer:

120

Step-by-step explanation:

Add angle ABC and angle CBD together.

answer is 120, 30 degree angle plus 90 degree angle

please help in stuck​

Answers

Answer:

I think it's (A) 27 ft2

Step-by-step explanation

at 1.5 with 1.5 and then add to 4.5 and 4.5 then mutiply the two answers together

what is the mesuement for y

Answers

Answer:

60 degrees

Step-by-step explanation:

add all together

make an equation of the sum= 180

this would mean 9r-9=180

solve

9r-9=180

9r=189

r=21

plug 21 in for r on the angle Y

solve

3(21)-3

63-3

60

A Cable company charges $70 per month for cable service to existing customers.

a. Find a linear equation representing he relationship between x, the number of months of service, and y, the total amount paid in dollars by an existing customer.

b. For new customers, there is an additional one-time $100 service fee. Repeat the previous problem for new customers.

c. When the two equations are graphed in the coordinate plane, how are they related to each other geometrically?

Answers

B. For new customers there is an additional one time $100 service fee.

arrange the following is ascending order -12 8 -14 6 0

Answers

Answer:

-14, -12, 0, 6, 8

Step-by-step explanation:

Answer: -14, -12, 0, 6, 8

Step-by-step explanation:

This is correct because -14 is the number with the smallest value so it belongs last. Then comes -12, 0, 6, 8.

Hope this helps ;)

00:00
A company loses $5,400 as the result of a manufacturing defect. The 8 owners of the company must share the loss equally.
Part A
Which expression shows the change in profit for each owner?
O A. -5,400 + 8
O B. -5,400 - 8
OC -5,400.8
OD. -5,400 + 8

Which expression explains how to split the debt

Answers

Answer:

None of them. The proper expression(s) to split the debt are:

5400 / 8

or

8x=5400

Five families have signed up to bring a pie. If a single serving of pie is 1/6 of the entire pie, how many people will 5 pies serve? ​

Answers

Answer:

30

Step-by-step explanation:

That means that there are 6 pie pieces in each pie so just multiply by 5

another thing we can do is get rid of 1/6 by multiplying by 6 which means we also have to multiply 5 by 6

Answer if correct 70 points Brainly

Answers

Answer:

I am not very sure, but I think the answer is

D.

Answer:

answer is d becuase i took the test and got it right

Step-by-step explanation:

the link is visable tho

help me pls i dont understand

Answers

In A youre making 3 groups of 7

in B you’re making 7 groups of 3
a are groups of 3 and 7 and b is groups of 7 and 3

it be much appreciated if anyone could help out
Factor: 16w3 – u4w3

Answers

Answer:

w^3(4 + u^2)(2 + u)(2 - u)

Step-by-step explanation:

6w^3 – u^4w^3

w^3(16 – u^4)

w^3(42 - ((u^2)^2)

w^3(4 + u^2)(4 - u^2)

w^3(4 + u^2)(22 - u^2)

w^3(4 + u^2)(2 + u)(2 - u)

Use what you know about end behavior to match each function in standard form with its graph below.

Answers

Answer:

2=C

3=A

4=D

5=B

Step-by-step explanation:

Answer:

2=C

3=A

4=D

5=B

Step-by-step explanation:

Which function describes this table of values? х у 10 8 5 4 0 0 -5 -4 y = 2 y= y = x - 2 y=-3

Answers

Answer:

y=4/5x

Step-by-step explanation:

If you multiply the x value of 10, substitute it into the equation. Using the equation y=4/5x, you will get the y value of 8.

When you substitute the x value of 5 into the equation. You will get 4.

You do this for the rest of the x values and will get the correct y values.

PLEASE HELP!!! DUE AT 11:59!!!

Answers

angle a = 32° (180-90-58)

PLEASR HELP ASAP!!!!!!! i’ll mark brainlest

Answers

This should help ^-^
B: (1/2) exponent 5

That’s the answer I think

Rewrite 1/2 * 1/2 as an exponential expression with a base of 2.

Answers

Answer:

1^-2

Step-by-step explanation:

1/2*1/2=1/4=1/2^2=1^-2

Answer:

2 ^-2

Step-by-step explanation:

Edmentum

Deja, Ryan, and Jamie walked in the same race on Friday. their race was 1/4 the length of Alex's 20-kilometers race on Sunday. How many more meters did Alex than Deja and Jamie walked together.


1 kilometer=1,000 meters

Answers

Answer:

Their race was 1/4 the length of Alex's 20km = 20 x 1/4 = 5 km

Alex than Deja and Jamie walked together : 20 - 5 = 15 km = 15000 m

Step-by-step explanation:

draw a line representing the rise and a line representing the run of the line. State the slope of the line in simplest form

Answers

Answer:

m = -1

Step-by-step explanation:

The slope of a line is calculated as ;

Given : (-2,3) and (2,-1)

m = Δy/Δx

m= -1-3 /2--2

m = -4 /4 = -1

The slope is -1

1
2
Determine the values of n for which f(x) = x* has an inverse that is a function. Assume that n is a whole numbe

Answers

I’m answering hold on brb sort
I’ll help just give me a second

what is a polynomial​

Answers

Answer: Polynomials are algebraic expressions that consist of variables and coefficients.

Step-by-step explanation:

Answer:

an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).

Step-by-step explanation:

Suppose an object is launched from ground level directly upward at 57.4 f/s Write a function to represent the object’s height over time.

Answers

Answer: p(t) = (-16 ft/s^2)*t^2 + (57.4 ft/s)*t

Step-by-step explanation:

We can suppose that the only force acting on the object is the gravitational force, then the acceleration of the object will be equal to the gravitational acceleration.

Then we can write:

a(t) = -32 ft/s^2

Where the negative sign is because this acceleration is downwards.

Now, to get the vertical velocity of the object, we need to integrate over time to get:

v(t) = (-32 ft/s^2)*t + v0

where t represents time in seconds and v0 is the constant of integration, and in this case, is the initial vertical velocity.

In this case, the initial velocity is 57.4 ft/s upwards, then the velocity equation is:

v(t) = (-32 ft/s^2)*t + 57.4 ft/s

To get the position equation we need to integrate over time again, to get:

p(t) = (1/2)*(-32 ft/s^2)*t^2 + (57.4 ft/s)*t + p0

Where p0 is the initial height of the object, as it was launched from the ground, then the initial position is p0 = 0ft.

then the position equation (that is the function that represents the height of the object as a function over time) is:

p(t) = (1/2)*(-32 ft/s^2)*t^2 + (57.4 ft/s)*t

p(t) = (-16 ft/s^2)*t^2 + (57.4 ft/s)*t

please someone tell now it's urgent ​

Answers

Answer:

It's first one Thank me later ! HAHAHAHA

Step-by-step explanation:

Increase 386.3 by 4%

Answers

Given:

Increase 386.3 by  4%.

To find:

The value for given statement.

Solution:

We have,

Initial value = 386.3

Increasing rate = 4%

The increased value is

[tex]\text{New value}=\text{Initial value + Increasing rate }\times \text{Initial value}[/tex]

[tex]\text{New value}=386.3+\dfrac{4}{100}\times 386.3[/tex]

[tex]\text{New value}=386.3+15.452 [/tex]

[tex]\text{New value}=401.752[/tex]

Therefore, the required value is 401.752.

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