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

Someone help fast! please

Answers

Answer:

48cm

Step-by-step explanation:

96/12=8

This means that 8 is the factor by which the diagram and the actual ramp vary

so then you multiply 8 times the height on the diagram to find the true height

8x6=48

Is (7, 8) a solution to the equation y = x?
Yes or No?

Answers

Answer:

no

Step-by-step explanation:

y=x

Substitute the point into the equation

8=7

This is not a true statement, so the point is not a solution

nahhhhhhhhhhhhhhhhhh

Solve the inequality
−y/2 ≤ 4

Answers

Answer:

4 is greater

Step-by-step explanation:

A negative divided by a positive = a negative.

No matter what y is, it will be a negative number.

Meaning, 4 a positive number, will be greater no matter what y is

A random sample of Maxwell High School students showed that 7 out of every 12 students ride the bus to school . Maxwell High School has a total of 840 students . Based on the sample , how many students most likely ride the bus to school ?
Plsss fast

Answers

I believe the answer is: 490 students are most likely to ride the bus

We would expect about 490 students to ride the bus to school based on the sample

What is random sampling?

It is the way of choosing a number of required items from a population given.

Each item has an equal probability of being chosen.

We have,

If 7 out of every 12 students ride the bus to school, then the proportion of students who ride the bus is 7/12 or approximately 0.5833.

If we assume that this proportion holds true for the entire school, then we can estimate the number of students who ride the bus as follows:

Number of students who ride the bus = Proportion who ride the bus x Total number of students

Number of students who ride the bus = 0.5833 x 840

Number of students who ride the bus = 489.99

Since we cannot have a fractional number of students, we would round this estimate to the nearest whole number.

Thus,

We would expect about 490 students to ride the bus to school based on the sample

Learn more about random sampling here:

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Straight white mail hate myself im so mad cause my skin so pale.
what this song

Answers

Answer:

is it never gonna give you up by official rick astley

Which value of y makes the equation 13 - y = 17 true

A y= -13
B y= -4
C y= 4
D y=13

Answers

B:-4,if you subtract 13 minus -4 it will equal 17, try it in a calculator if you don’t agree :)

Owen is planning surgery to repair the torn ligament in his knee. The total cost of the surgery is expected to be about $7,000. Owen has a $1,000 deductible and then a 20 per- cent co-pay for this procedure. How much will Owen pay for his part of the surgery?

Answers

Answer:

$2200

Step-by-step explanation:

Given that Owen has $7000 to pay, with a $1000 deductible. This means that he has, left to pay, $6000.

Again, we're told that he has 20% Co pay for the procedure. Taking 20% of $6000, we have

20/100 * 6000 = $1200. This means be has $1200 to co pay for the procedure.

Adding this newly calculated $1200 with the previously set aside $1000, we have a total of $2200. This is the price Owen will pay from his part, as part of the surgery

How many calories will Darrel burn in 1 minute while kayaking

Answers

Answer:

210 calories : )

Step-by-step explanation:

hope this helps

i’m giving out 25 points for the answer

Answers

Answer:

angle p+30=180=

=180-30=150

angle Q+55=180

=180-55=125

angle R+95=180

=180-95=85

Kendra set a goal to walk 10 miles in one week. She walked 2 miles on Monday and 3 miles on Tuesday. Which equation represents the number of miles, w, Kendra still needs to walk?

Answers

Answer:

w + 5 = 1010 - 5 = w

Step-by-step explanation:

Kendra has a goal to walk 10 miles in one week.

She has already walked 2 miles on Monday and 3 miles on Tuesday. This means that she has already walked:

= 2 + 3

= 5 miles

If she wants to walk a total of 10 miles with w being the remaining miles, the expressions will therefore be:

w + 5 = 10

or;

10 - 5 = w

y-intercept: (___,___)
r-intercept: (___,___)

Answers

Answer:

y= 0,4 x=0,3

Step-by-step explanation:

What is the price of a $500 tv after a 20% discount?

Answers

It’s going to be 400 dollars, 20percent is 100 dollars

Sarah has a shoebox that has a base that is 12 inches x 10 inches. The shoe box is 7.5 inches tall. Sarah lost the top to the box. How many square inches of material make-up the shoebox?

Answers

450

10*12= 120 the bottom of the box
10*7.5= 75 one side
75*2= 150 two sides
12*7.5= 90 another side
90*2= 180 two other sides
120+150+180 = 450

Hope this helped :)

What is the solution for -3w-4=w+4

Answers

Answer:

uhh

Step-by-step explanation:

carrot?

the answer is to this question is w=-2

Find the missing length

I WILL GIVE BRAINLIEST

Answers

Answer:

B)   35

Step-by-step explanation:

42x25÷30=35

Answer: (B)35

Step-by-step explanation: the ratio of the lengths of the first rectangle compared to the length of the second is 30:25, or 6:5. Do the same for the width. the first rectangle has a width of 42. divide it by 6, (according to the ratio) which is 7. then multiply it by 5 (also according to the ratio) and you get 35. Hope this helps.

Will give 15 point
Easy math please explain your work

Answers

Answer:

Answer is 154

Step-by-step explanation:

Please I need help for real

Answers

y=-3x-5 is the answer !!

#1 *
1 point
Captionless Image

Answers

alrighty then but yyyyy

A dolphin starts at an elevation of feet. He kicks 5 times and increases his elevation by the same amount for each kick. He is now at an elevation of feet. Which equation can be used to find x, the number of feet the dolphin traveled with each kick? A dolphin starts at an elevation of feet. He kicks 5 times and increases his elevation by the same amount for each kick. He is now at an elevation of feet. Which equation can be used to find x, the number of feet the dolphin traveled with each kick?

Answers

Complete question :

A dolphin starts at an elevation of -16 3/4 feet. He kicks 5 times and increases his elevation by the same amount for each kick. He is now at an elevation of -5 1/4 feet. Which equation can be used to find x, the number of feet the dolphin traveled with each kick?

Answer:

2 3/10 feets

Step-by-step explanation:

Initial elevation = - 16 3/4 feets

Number of kicks = 5

Increase in elevation is the same for each kick

Final elevation = - 5 1/4 feets

Number of feets, x, dolphin travels per kick ;

Total elevation achieved after 5 kicks : ; change in elevation

Final elevation - initial elevation

16 3/4 - 5 1/4

67 /4 - 21/4

(67 - 21) / 4

= 46/4

Since change in elevation per kick is the same;

Number of feets traveled per kivk is ;

x = 46/4 ÷ 5/1

x = 46/4 * 1/5

x = (46*1) / (4*5)

x = 46/20

x = 2 6/20 = 2 3/10

Dolphin travels 2 3/10 feets per kick

The longest side of an acute isosceles triangle is 12 centimeters, Rounded to the nearest tenth, what is the
smallest possible length of one of the two congruent sides?
O 6.0 cm
O 6.1cm
O 8,4 cm
O 8,5 cm

Answers

Answer:

8.5

Step-by-step explanation:

PLEASE HELP ITS IMPORTANT omll

Answers

Answer:

F(x)= 3x-4

Step-by-step explanation:

To find the slope use the formula y2-y1  

                                                          x2-x1

(2,2)

(0,-4)

-4-2 = -6   = 3x

0-2      -2

Which is equivalent to 42x +49.

A. 2 (21 + 24)

B. 8x + 13

C. 4 (2x + 9)

D. 7 (6x + 7​

Answers

Answer:

D. 7 (6x+7)

Step-by-step explanation:

Factor  7  out of  42x  +  49

The answer is
D. 7(6x+7)

20% of____ is 15 ????

Answers

Answer:

The Correct Answer is 3

Step-by-step explanation:

10* 4/25 as a fraction in simplest form

Answers

Answer: I think it would still be 4/25. If not I am really sorry.

Step-by-step explanation:

Rewrite in slope-intercept form.
10x + 2y = 8
Enter your answer in the form y=mx+c
Simplify your answer if possible using integers or simplified fractions. Example: y=3/4x-2
10x+2y=8

Answers

Answer:

y = -5x + 4

Step-by-step explanation:

Solve for y

10x + 2y = 8

2y = -10x + 8

y = (-10x)/2 + 8/2

y = -5x + 4

13 POOINNTSSS PLEASE HELP ON 6-10 AND 13 TIMED TYSM IF U ANSWER

Answers

Answer:

The answer is 12.8.

Step-by-step explanation:

0.16 times 80 = 12.8

what is the slope of the line that passes through the points (-1,-7) and (-2,-5)

Answers

Answer:

The equation of the straight line is

2 x + y +9=0

Step-by-step explanation:

Step(i):-

Given that the points are ( -1 , -7) and ( -2 , -5)

Slope of the line

[tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{-5-(-7)}{-2-(-1)} = \frac{-5+7}{-2+1} = -2[/tex]

Slope of the line  m = -2

Step(ii):-

The equation of the straight line passing through the point (-1,-7) and having slope m =-2

[tex]y - y_{1} = m( x- x_{1} )[/tex]

y - (-7) = - 2( x-(-1))

y +7 = -2 ( x +1)

y +7 = -2 x -2

2 x + y + 7 + 2 =0

2 x + y +9=0

Final answer:-

The equation of the straight line is

2 x + y +9=0

What is the largest value of $k$ such that the equation $6x - x^2 = k$ has at least one real solution?

Answers

Step-by-step explanation:

6x - x² = k

=> x² - 6x + k = 0,

For there to be at least 1 real solution,

The discriminant b² - 4ac must be at least 0.

We have (-6)² - 4(1)(k) >= 0.

Therefore 36 - 4k >= 0, k <= 9.

Hence the largest value of k is 9.

Answer:

9

Step-by-step explanation:

Rearranging, this is the equation x^2 - 6x  = -k. Completing the square, we add 9 to both sides, and x^2 - 6x + 9 = 9 - k. Factoring the left side, we have (x - 3)^2 = 9 - k. In order for this equation to have at least one real solution, the right-hand side must be nonnegative. Thus, we have 9 - k [tex]\geq[/tex] 0 and k [tex]\leq[/tex] 9. Thus, the largest possible value of k is 9.

Libby bought 224 ounces of flour. If each bag contains 32 ounces of flour, how many bags of flour did Libby buy?

Answers

Answer:

answer is 7

Step-by-step explanation:

trust me :)

The number of bags of flour bought by Libby is given by A = 7 bags

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The total amount of flour bought by Libby = 224 ounces

The amount of flour in each bag = 32 ounces

Let the number of bags be A

So ,  amount of flour in each bag x number of bags = total amount of flour bought by Libby

On simplifying the equation , we get

32A = 224

Divide by 32 on both sides , we get

A = 224/32

A = 7 bags

Therefore , the value of A is 7 bags

Hence , the number of bags is 7 bags

To learn more about equations click :

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Help fill in the blanks asap

Answers

Answer:

2. AB ║ DC - Corresponding Angles Corollary

3. <BCD ≅ <BAD - Alternate Interior Angles Theorem

4.  <D is a right angle. - Given

5. AC = AC - Reflexive Property

6. ΔABC ≅ ΔCDA - ASA Postulate (Angle-Side-Angle)

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