If the length,l, of the yard is 18 feet longer than the width ,w, of the yard, what is the area of the yard , in square yard

Answers

Answer 1

Answer:  The area is [tex]w^{2}[/tex] + 18w

Step-by-step explanation:

We could represent the length of the yard by  l = w+18    and the width as w .

And to find the area we will have to multiply  the length by the width.

A=  w(w+18 )    multiply

A= [tex]w^{2}[/tex] + 18w

Answer 2

Answer:

27^2 yards

Step-by-step explanation:

Perimeter  = 2W + 2L  ..... and the  width is 18 more than the length....therefore  

Perimeter  = 2[L + 18] + 2L

72  = 2L + 36 + 2L

72  = 4L  + 36      subtract 36 from each side

36  =  4L    divide both sides by 4

9  = L      and the width is 18 more   = 27

So....the area  = W x L    =  27 x 9   =  243 ft^2 = 27^2 yards

(divide the area value by 9 )


Related Questions

Which graphs have rotational symmetry? Check all of the boxes that apply.

On a coordinate plane, a cubic function has an x-intercept of (0, 0).

On a coordinate plane, an absolute value function opens down.

On a coordinate plane, an oval is in quadrant 1.

Answers

Answer:

The correct option are;

On a coordinate plane, a cubic function has an x-intercept of (0, 0)

On a coordinate plane, an oval is in quadrant 1

Step-by-step explanation:

Rotational symmetry of a shape is a shape that when it is rotated on its axis to a given angle less than one complete revolution, the shape looks exactly like the pre-image or original appearance of the shape

For a cubic function that has x-intercept = (0, 0) we have;

y = f(x) = a·x³ + b·x² + c·x

Has the shape f a fan blade and therefore, looks the sane when rotated when rotated through 180°

The shape of an oval looks the same when rotated through 180°

Answer:

This graph has rotational symmetry about the point

(0,0).

This graph has rotational symmetry about the point (2,4).

Step-by-step explanation:

second part on edge 2020 !

A ball will be drawn from a bag containing 20 balls numbered 1 through 20 . ​If each ball is equally likely to be drawn, what is the probability that the ​number on the ball drawn will be even or less than 5 ? ​​

Answers

Answer:

7/10

Step-by-step explanation:

20 balls.

10 even, 10 odd.

4 numbers less than 5.

That is 14/20 --> 7/10

Most likely.

Probability that the ​number on the ball drawn will be even or less than 5

= 3/5

What is probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

Given,

Total no. of balls = 20

All balls are numbered with numbered 1 through 20.

Balls with even numbers or less than five:

1, 2, 3, 4, 6, 8, 10, 12, 14, 16, 18, 20

No. of balls with even numbers and less than five = 12

Probability that the ​number on the ball drawn will be even or less than 5 = No. of balls with even numbers or less than five/Total balls

                  = 12/20

Probability = 3/5

Hence, 3/5 is the probability that the ​number on the ball drawn will be even or less than 5.

Learn more about probability here:

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Which of the following expressions best describes what is modeled on the number line?
(-1)(-4)
4(-1)
1(-4)
4(1)

Answers

Answer:

4(-1)

Step-by-step explanation:

Answer:

4(-1)

Step-by-step explanation:

I NEED HELP QUICK Complete the division problem by determining the number that should be placed in the box. (4 points)

Division bracket with 14 on the left, 7658 inside, and 547 above it. Underneath the 7658, there is a minus 7000. Then there is a solid line with 658 under the line. There is a minus sign and an empty box followed by a solid line. Beneath the line, there is a 98 minus 98 underneath. There is a solid line and a 0 to end the problem.

Answers

Answer:

560

Step-by-step explanation:

   

        547      

14 | 7658

    -7000

       658

     - 560

          98

        - 98

            0

Write down 2 equivalent ratios to 3:5.

Answers

6:10, 9:15, And if those don’t work then use 12:20 and 15:25

The equation Y = mx+b is the slope-intercept form of the equation of a line. What is the equation solved for b?​

Answers

To isolate b on one side of the equation, all you have to do is subtract mx from both sides, so the answer is
y-mx =b

What are the coefficients in the expression 5x3 + 14x2 - 2x + 6?

Answers

Answer: 5,14 and -2

Step-by-step explanation:

The coefficient  is the number next to the variable.

So this case the coefficients are 5,14 and -2

Answer:

Step-by-step explanation:

15+28-2x+6

49-2x=

x=-49/2

what does 7/8-6/7 equle

Answers

Answer:

1/56

Step-by-step explanation:

7

8

6

7

=

1

56

(Decimal: 0.017857)

Answer: 0.01785714285 is what it is in decimal form AND

1/56 in fraction form.

Step-by-step explanation:

So we are given 7/8 - 6/7.

WE have to find what it is:

0.01785714285 is what it is in decimal form AND

1/56

Please help
6 ( n + 5 ) = 66

Answers

Answer:

n=6

Step-by-step explanation:

6 ( n + 5 ) = 66

Divide each side by 6

6/6 ( n + 5 ) = 66/6

n+5 = 11

Subtract 5 from each side

n+5-5 = 11-5

n = 6

Answer:

n=6

Step-by-step explanation:

We are given the equation

6(n+5)=66

We must solve for the variable, n. Therefore, we have to isolate n on one side of the equation.

6 is being multiplied by (n+5). The inverse of multiplication is division. Divide both sides of the equation by 6.

6(n+5)/6=66/6

(n+5) = 66/6

n+5 = 11

5 is being added to n. The inverse of addition is subtraction. Subtract 5 from both sides of the equation.

n+5-5=11-5

n=11-5

n=6

Let's check our solution. Plug 6 in for n and solve.

6(n+5)=66

6(6+5)=66

6(11)=66

66=66

The statement above is true, so we know our solution is correct.

The solution to the equation 6(n+5)=66 is n=6

Graph the function. g(x)=2(x +2)(x +6)g(x)=2(x+2)(x+6)

Answers

Answer:

Graph the parabola using its properties and the selected points. Direction: Opens Up Vertex: ( 4 , − 4 ) Focus: ( 4 , − 15 4 ) Axis of Symmetry: x = 4 Directrix: y = − 17 4 x y 2 0 3 − 3 4 − 4 5 − 3 6 0 image of graph

Hoped I helped

Step-by-step Explination + Answer:

Graphing

So the vertex is at (-4,-8)

In order to graph, we need the vertex and another point. That other point can be one of the zeros we found, like (-2,0)

FIND THE SUM OF 20 TERMS OF THE ARITHMETIC SERIES IN WHICH 3rd TERM IS 7 AND 7th TERM IS 2 MORE THAN THREE TIMES ITS 3rd TERM

Answers

Answer:

740

Step-by-step explanation:

The n th term of an arithmetic series is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then

a₁ + 2d = 7 → (1)

a₁ + 6d = 23 → (2)

Subtract (1) from (2) term by term

4d = 16 ( divide both sides by 4 )

d = 4

Substitute d = 4 into (1)

a₁ + 2(4) = 7

a₁ + 8 = 7 ( subtract 8 from both sides )

a₁ = - 1

The sum to n terms of an arithmetic series is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ] , thus

[tex]S_{20}[/tex] = [tex]\frac{20}{2}[/tex] [ (2 × - 1) + (19 × 4) ]

     = 10(- 2 + 76) = 10 × 74 = 740

Me.Dorado has completed 75% of his morning run which of lowing sets does NOT represent 75%

Answers

Answer:

H.

Step-by-step explanation:

How many solutions does the system have?
y= -3x + 9
3y = -9x + 9
Choose 1 answer
A. Exactly one solution
B. No solutions
C. Infinitely many solutions

Answers

Answer:

B. No solutions

Step-by-step explanation:

y= -3x + 9

3y = -9x + 9

Rewrite the first equation below. Then, divide both sides of the second equation by 3 and write it below the first equation.

y = -3x + 9

y = -3x + 3

Now look at the two equations. They are both written in the slope-intercept form, y = mx + b, where m = slope, and b = y-intercept. They have the same slope (m = -3) and different y-intercepts (9 and 3), so they are equations of two different lines, but since the slopes are the same, the lines are parallel. Since the lines never intersect, there is no solution.

Answer: No solutions

Answer:

B

Step-by-step explanation:

Khan

Solve the following expression when
f = 6 and p = 2
3f - 9p + 8 + f

Answers

Answer:

14

Step-by-step explanation:

3(6) - 9(2) + 8 + (6)

18 - 9(2) + 8 + (6)

18 - 18 + 8 + (6)

0 + 8 + (6)

8 + (6)

14


(iii) sin (90° - A) cos (90° - A)=tanA/
1+tan²A​

Answers

Answer:

See below

Step-by-step explanation:

[tex]A=\theta[/tex]

[tex]$\sin(90\º - \theta) \cos(90\º - \theta) = \frac{ \tan(\theta)}{1+ \tan^2(\theta)}$[/tex]

According to cofunctions identities:

[tex]\boxed{\sin(90\º - \theta)=\cos(\theta)}[/tex]

[tex]\boxed{\cos(90\º - \theta)=\sin(\theta)}[/tex]

[tex]$\cos(\theta) \sin(\theta) = \frac{ \tan(\theta)}{1+ \tan^2(\theta)}$[/tex]

Once

[tex]$\tan(\theta)=\frac{\sin(\theta)}{\cos(\theta)} $[/tex]

[tex]$\cos(\theta) \sin(\theta) = \frac{ \frac{\sin(\theta)}{\cos(\theta)}}{1+ \frac{\sin^2(\theta)}{\cos^2(\theta)}}$[/tex]

Take

[tex]$1+\frac{\sin^2(\theta)}{\cos^2(\theta)}}=\frac{\sin^2(\theta) + \cos^2(\theta)}{\cos^2(\theta)} $[/tex]

[tex]$\cos(\theta) \sin(\theta) = \frac{ \frac{\sin(\theta)}{\cos(\theta)}}{\frac{\sin^2(\theta) + \cos^2(\theta)}{\cos^2(\theta)} }}$[/tex]

[tex]$\cos(\theta) \sin(\theta) = \frac{\sin(\theta)}{\cos(\theta)} \cdot \frac{\cos^2(\theta)}{\sin^2(\theta) + \cos^2(\theta)} }$[/tex]

[tex]$\cos(\theta) \sin(\theta) = \frac{\sin(\theta)}{\cos(\theta)} \cdot \frac{\cos^2(\theta)}{\sin^2(\theta) + \cos^2(\theta)} }$[/tex]

[tex]$\cos(\theta) \sin(\theta) = \frac{\sin(\theta)\cos(\theta)}{\sin^2(\theta) + \cos^2(\theta)} }$[/tex]

Once

[tex]\boxed{\sin^2(\theta) + \cos^2(\theta)=1}[/tex]

[tex]$\cos(\theta) \sin(\theta) = \frac{\sin(\theta)\cos(\theta)}{1 }$[/tex]

[tex]$\cos(\theta) \sin(\theta) = \sin(\theta)\cos(\theta)$[/tex]

[tex]$\therefore \sin(90\º - \theta) \cos(90\º - \theta) = \frac{ \tan(\theta)}{1+ \tan^2(\theta)}$[/tex]

Una paid $2.14 for a notebook. She gave the cashier a $5 bill.
How much change did she receive?

Answers

Answer:

$2.86 thats how much sh gets back

Answer:2.86

Step-by-step explanation: 5 - 2.14 = 2.86

Multiply
а) (x + 2) (х+3)​

Answers

The answer should be this

Answer:

x^2+5x+6

Step-by-step explanation:

[tex]\left(x+2\right)\left(x+3\right)\\\\\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd\\\\a=x,\:b=2,\:c=x,\:d=3\\\\=xx+x\times\:3+2x+2\times \:3\\=xx+3x+2x+2\times\:3\\\\\mathrm{Simplify}\:xx+3x+2x+2\times\:3:\\\quad x^2+5x+6[/tex]

Kaylee borrowed some money from her friend in order to help buy a new video game system and agreed to pay the friend back a constant amount each week. Kaylee originally borrowed $120 from her friend and after 5 weeks, she still owed her friend $60. Write an equation for L,L, in terms of t,t, representing the amount Kaylee owes her friend after tt weeks.

Answers

Answer:

L=120−12tt

Step-by-step explanation:

$120 is the total kaylee needs to pay back. She pays back 12$ each week, as you can determine from 60 / 5. so, 120-12tt

20pt. please help i need it for today :(
_____
the cost of cheese pizza is $9.99 Plus $0.35 for each additional topping t.
_____
A. Write an inequality that can be used to represent the cost of a pizza that is at most $12 .
B. what is the most number of toppings that a pizza can have and still be at most $12.​

Answers

Answer:

The inequality is this 9.99+.35x>12

It cant be over 12 so it has to be less than or equal to 12. The most amount of toppings you can have is 5.

:)

Answer:

9.99 + 0.35x > 12

Step-by-step explanation:

Explain how to find the price of 4 pounds of peaches given that 6 pounds of peaches is $5.99

Answers

Answer:

$3.99

Step-by-step explanation:

If 6 pounds is $5.99

We can round that to $6

Meaning $1 per Pound. Now since 4 pounds times $1 per pounds equals $4. Turn that down one cent. You get $3.99

Please give brainliest. Thanks

Jane drew a point A located at (-2,-3) and point C located at (8,-3). What is the x-coordinate of point B that bisects? AC

Answers

Answer:

x-coordinates of point B = 3

Step-by-step explanation:

If the extreme ends of a segment are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], coordinates of the midpoint of the given segment will be = [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Coordinates of the extreme ends of segment AC are A(-2, -3) and C(8, -3).

Since B is a point that bisects the segment AC, coordinates of point B will be,

= [tex](\frac{-2+8}{2},\frac{-3-3}{2})[/tex]

= (3, -3)

Therefore, x-coordinates of the point B will be = 3

find the square of 12 find the square root of 196,324

Answers

Step-by-step explanation:

the square of 12 =12×12 =144

and the square root of 196324 = ✓196324

= 443.084642

The back of Dante's property is a creek. Dante would like to enclose a rectangular area, using the creek as one side and fencing for the other three sides, to create a pasture. If there is 720720 feet of fencing available, what is the maximum possible area of the pasture

Answers

The correct value is 720 ft of fencing.

Answer:

Max Area = 64800 sq.ft

Step-by-step explanation:

A square will always give us the maximum area.

Thus, one side would be;

720/4 = 180 feet

So, we want a square 180 ft by 180 ft

however, from the question, we are to use the creek as one side. So, we'll take the 180 ft that we don't need because of the creek and then add it to the opposite side to get 180 + 180 = 360 ft.

Thus,we now have a rectangle with dimensions: 180 ft by 360 ft

Area is given by;

area = length × width

Maximum Area = 180 × 360

Max Area = 64800 sq.ft

Let f(x) = x^2 + 4 and g(x) = 7x + 13. Find g(f(3)).

Answers

Answer:

104

Step-by-step explanation:

f(x) = x^2 + 4

g(x) = 7x + 13.

Find g(f(3))

Find f(3) = 3^2+4 = 9+4 = 13

Then find g(13) = 7*13 + 13 = 91+13 = 104

Answer:

91x+169

g(f(3))

(7x+13)(3^2+4)

(7x+13)(9+4)

(7x+13)(13)

therefore..91x+169

a retailer sold a shirt for rupees 1000 and he made a profit of 25% find the purchased price of a shirt​

Answers

Answer:

750 rupees is used to make shirt

250 rupees is profit

Step-by-step explanation:

If the retailer sold the shirt for 1000 rupees and got 25% profit then that means 1/4 is profit and 3/4 is how much the retailer spent to make the shirt.

So 1000 times 3/4 is 750 which is how much the shirt really cost and

1000 times 1/4 is 250 and that is the retailers profit.

?/24 A refrigerator is priced at $525.50. There is a 7% sales tax rate. What is the sales tax for the refrigerator in dollars and cents? Round to the nearest penny

Answers

Answer: The sales tax is $36.79  

Step-by-step explanation:

Multiply the sales tax percent by the money to find how much the sale tax is.

7% * 525.50 = 36.785  which rounds to 36.79  to the nearest penny.

The required amount of sales tax for the refrigerator is $36.785.


As mentioned in the question, a refrigerator is priced at $525.50. There is a 7% sales tax rate. The sales tax for the refrigerator in dollars and cents is to be determined.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
The total price of the sales tax = $525.50
Sales tax is 7%,

sales tax= 525.50 × 7%
sales tax = $36.785

Thus, the required amount of sales tax for the refrigerator is $36.785.

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i need to simplify this expression

1+4(2x-3)-x

Answers

Answer:quit

Step-by-step explanation:

7x-11 hahahshsbsbehsvbsbsbsb

Factor the polynomial. 4x^2+4xy+y^2

Answers

(2x−y)
2
Will be your answer

Answer:

(2x)^2 + 2(2x)(y) + (y)^2

(2x+y)^2

Step-by-step explanation:

-2y+9=3 uiiii iiiiiiiiiiiiiiiii

Answers

Answer:

y=3

Step-by-step explanation:

-2y+9=3

Step 1: Subtract 9 from both sides.

−2y+9−9=3−9

−2y=−6

Step 2: Divide both sides by -2.

−2y /−2  =  −6 /−2

y=3

Answer:

y=3

Answer:

y=3

Step-by-step explanation:

Subtract 9 from both sides.

−2y=3−9

Simplify  3-9 to -6

-2y=-6−2y=−6

Divide both sides by -2

​​ y= -6/-2

Two negatives make a positive.

y= 6/2

simplify

y=3

hope i helped

-lvr

show the following numbers on number line 3/2, 5/2, -3/2

Answers

When you create the number line, put 0 in the middle. Basically you put all the numbers you got from least to greatest on the number.

Since -3/2 is less than 0, it will go to the left of 0.

Since 3/2 and 5/2 are greater than 0, it will go to the right of 0.

Remember to use sub points of 1.

Best of Luck!

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