Mathematics High School

Blair's garden is four feet shorter than double its width. The perimeter of the garden is 64 feet.

The width of the garden is ___ feet.

The length of the garden is ____ feet.

Answers

Answer 1

Answer:

The width of the garden is 12 feet.

The length of the garden is 20 feet.

Step-by-step explanation:

Let l be the length and w be the width

Then according to given statements

[tex]l = 2w-4\ \ \ Eqn\ 1[/tex]

Second equation is:

[tex]2l+2w = 64\ \ \ \ Eqn\ 2[/tex]

Putting l = 2w -4 in equation 2

[tex]2(2w-4)+2w = 64\\4w-8+2w = 64\\6w -8 = 64\\6w = 64+8\\6w = 72\\\frac{6w}{6} = \frac{72}{6}\\w = 12[/tex]

Putting w = 12 in equation 1

[tex]l = 2(12)-4 = 24-4 = 20[/tex]

Hence,

The width of the garden is 12 feet.

The length of the garden is 20 feet.

Related Questions

A
6) Find Total Surface Area of the shape.
9 km
3 km
7
5 km
4 km

Answers

Answer:

120km^2

Step-by-step explanation:

9x3=27

9X5=45

9x4=36

3x4/2=6

3x4/2=6

27+45+36+6+6=120

Find the equation of the line that passes through the points (-1,3) and (3,11).

A. y = -5x - 2
B. y = -2x - 5
C. y = 2x + 5
D. y = 5x + 2

Answers

The answer is C.y=2x+5

Find the sum of the following nine products: 1 × (10 – 1), 2 × (10 – 2), 3 × (10 – 3), … , 9 × (10 – 9)

Answers

Answer:

9, 16, 21, 9

Step-by-step explanation:

I hope this help and it was going in order

Answer:

165

Step-by-step explanation:

We solve the first 5

1*(10-1)=9

2*(10-2)=16

3*(10-3)=21

4*(10-4)=24

5*(10-5)= 25

and notice

when you go from 6 on its getting the same number because say 3*(10-3) = 3*7 and 7*(10-7) = 7*3 and 7*3 = 3*7 so

You add the first 5 integer you solved up

9 16 21 24 25 = 95

and then you double it no extra 25

and then you get 165 = answer

You bought a bag of cat food for $4.75 and a bag of dog food for $12.59. How much more did you spend on the dog food?

Answers

$7.84 because $12.59-4.75= $7.84

Answer:

$7.84 more

Step-by-step explanation:

To find how much more you spent on dog food, find the difference between the two prices:

12.59 - 4.75

= 7.84

So, you spent $7.84 more on the dog food

Kevin can complete 45 multiplication problems in 2 minutes. What is the unit rate?

Answers

Answer: 22.5

Step-by-step explanation: 45/2

Answer:

0.04 4 is repeated

Step-by-step explanation:

DIRECTIONS: Type your answer in the box below.




Percy planted 4 tomato plants the first week of spring. He planted 11 tomato plants the second week of spring. What is the percent increase in the number of plants Percy planted? Round your answer to the nearest whole percent.

Answers

Answer:

175%

Step-by-step explanation:

The formula for Percent increase =

Final value - Initial value/Initial value × 100

Final value = 11 tomato plant

Initial value = 4 tomato plant

Percent Increase = 11 - 4/4 = 100

= 7/4 × 100

= 175%

Answer:

ur super not talanted

Step-by-step explanation:

Math:hey everyone I have a quick question, Ps the picture is there!

Answers

Answer:

3/8 < 7/16 < 11/20 < 5/6

Step-by-step explanation:

629 divided by the number c equals 17 what is c answer fast WILL MARK BRAINLY!!

Answers

Answer:

c=37

Step-by-step explanation:

The answer c is 37.

What is Division?

Division is one of the operation in mathematics where number is divided into equal parts as that of a definite number

Here is is given that,

629 divided by the number c equals 17.

Here 629 is the dividend, c is the divisor and 17 is the quotient.

We have to find the value of the divisor.

Mathematically the given statement can be written as,

629 / c = 17

Multiplying both sides of the equation with c, we get,

629 = 17 c

Dividing both sides by 17,

c = 629 / 17

c = 37

Hence the value of c is 37.

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help please :((((((((

Answers

You can also use the app Microsoft math

Fill in the missing numbers to create an equivalent expression (21 + 12)=_( _ + _ )

what's the blank supposed to be?

Answers

Answer:

(21+12)=3(7+4)

This is true because they both equal 33.

How are theses two sequences similar?

Answers

Answer:

I LOVE POINTS!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Answer:

Could you please insert the sentences so I can help?

the sum of a number and 9, divided by 4, is greater than or equal to -2

Answers

Answer:y – 9. 4 less than a number. y - 4

Step-by-step explanation:

If the sum of a number and 9, divided by 4, is greater than or equal to -2, the number is -17.

What is inequality?

A collection of two or more inequalities in one or more variables is known as a system of inequalities. When there are multiple constraints on a problem's potential solutions and a range of potential solutions are needed, systems of inequalities are used. The maximum or minimum values of a situation with multiple constraints are frequently determined using a system of linear inequalities.

It is given that,the sum of a number and 9, divided by 4, is greater than or equal to -2

Suppose the number is n,

(n+9)/4≥-2

n+9≥-8

n≥-8-9

n≥-17

Thus, if the sum of a number and 9, divided by 4, is greater than or equal to -2, the number is -17.

Learn more about inequality here,

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HELP WILL MAKE BRAINLIST

Answers

Additive Property of Equality

Write an equation of the line that passes through (-1,4) and is perpendicular to the line shown.

Answers

Answer:

Step-by-step explanation:

6xy+31

If ∆ABC congruent ∆DEF, which of the following can you NOT conclude as being true?

A. AC congruent DF
B. ‹B congruent ‹E
C. AB congruent EF
D. ‹C congruent ‹F

Answers

Answer:

I believe the answer would be C (sorry i messed uo the first time)

Answer:

C

Step-by-step explanation:

The school band is selling sweatshirts and baseball caps to raise $9000 to attend a band competition Sweatshirts cost $25 each and baseball caps cost $10 each. The equation 25x + 10y = 9000 models this situation, where x is the number of sweatshirts sold and y is the number of baseball caps sold. The number of shirts sold is 258 X - intercept = y - intercept = How many caps were sold?

x int:
y int:
how many caps were sold? :​

Answers

Answer:

255 caps were sold

Step-by-step explanation:

25x+10y = 9000

25(258) + 10y = 9000

6450 + 10y = 9000

-6450 + 10y = -6450

10y = 2550

2550/10y

y = 255

Julie purchased tickets to a Mets baseball game from the Mets website. Each ticket costs $19
and the website charged a convenience fee of $5.75 per ticket. To celebrate going to the
game, Julie also bought a new jersey from the website for $60.

Answers

What is the question? If it’s asking how much everything costs the total cost would be $84.75.

Answer:

$84.75

Step-by-step explanation:

can somebody pls help me with this?​

Answers

Answer:

X:Y

12:4

Just start with y=1 and work upwards giving x a value of y+8 until x is three times larger than y.

Answer:

x=y+8 and x=3y

x=y+8
y=x-8
y=12-8
y=4

x=3y
x=3(x-8)
x=3x-24
x-3x=-24
-2x=-24
-2x/-2=-24/-2
x=12

If an exterior Angele of a regular polygon is an integer, what are the possible values of the angle?​

Answers

Answer:

Please read the explanied answer below.

Step-by-step explanation:

As we know that polygon is a shape that consists of at least three sides.The sum of exterior angles of any polygon = [tex]360^{\circ }[/tex]

We also know that a regular polygon has all the angles equal and all sides have the same length.

As we know:

Exterior angle = 360° ÷ No. of sides

When the number of sides changes, the angle also changes. Therefore, we would get different integers as answer.

For example:

In terms of a triangle:

Exterior angle = 360° ÷ No. of sides

                        = 360° ÷ 3 = 120°

In terms of a rectangle:

Exterior angle = 360° ÷ No. of sides

                        = 360° ÷ 4 = 90°

and in the same way

360° ÷ 5 = 72 °

360° ÷ 6 = 60 °

360° ÷ 8 = 45 °

360° ÷ 9 = 40°

and so on.

I hope it may have solved your query.

The toll on a highway is based on the number of miles driven. If the toll on a 15-mile stretch of highway is $0.60, find the cost to drive a 80-mile stretch.

Answers

Answer:

$3.20

Step-by-step explanation:

We have

15-mile stretch = $0.60

80-mile stretch = x

Cross Multiply

15 × x = 80 × $0.60

x = 80 × $0.60/15

x = $3.20

Hence, the cost to drive a 80-mile stretch is $3.20

Which graph shows a polynomial function with an even degree?

Answers

Answer:

c

Step-by-step explanation:

im smart

The graph that shows a polynomial function with an even degree is option D.

What is a Function?

A function is a law that relates two variables, a dependent and an independent variable with each other.

The domain and range of a function is always defined, the domain is all the values that can be an input to the function and the range is all the valuess that a function can have.

A function that involves positive integer powers as exponents of a variable in an equation is called a polynomial function, like the quadratic equation,

An even degree polynomial function, represented by y = x², have graphs that either open upwards or downwards.

A function is even if, for each x in the domain of f, f (- x) = f (x).

In an even function, the graph is symetrically along y axis.

The only graph that is symmetrical along the y axis is graph D.

To know more about Function

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If the Jackson family drive 135 miles on 6 gallons of gas, how many miles can they can they drive on 9 gallons?

Answers

Answer:

202.5 miles

Step-by-step explanation:

We find the unit rate of the mile per gallon

135/6

= 22.5

We multiply 22.5 by 9 to get the miles they can drive on 9 gallons

22.5 * 9

= 202.5

Answer:

202.5 miles

Step-by-step explanation:

135 miles  divided by 6 = 22.5 x 9 = 202.5 miles

6 gallons  divided by 6 = 1 gallon x 9 = 9 gallons

Mrs. Torres is mailing a package that weighs 12.5 pounds. The post office charges by the ounce to mail a package. How much does the package weigh in ounces?

Answers

9514 1404 393

Answer:

  200 ounces

Step-by-step explanation:

Each pound is 16 ounces, so the number of ounces is ...

  (12.5 lb)(16 oz/lb) = 200 oz

The package weighs 200 ounces.

I’m so confused may sb help please

Answers

Answer:

Line L has a slope of 1 and Line k has a slope of 2.

Step-by-step explanation: You can figure this out by using the rise (up) over run (left/right) method. Line l had 1/1 which equals 1 and line K was 2/1 which equals 2!

Answer: it is D

Step-by-step explanation:

line L hits a new point every 1 point. Line

K hits a new point at every 2 points.

What is the vertex of the function x^2+x-5

Answers

Answer:

y=(x+1/2)^2-21/4

Step-by-step explanation:

See attachment for answer, which is the vertex of the function.

given f(x)=2x^2 and g(x)=4x-5, the composition f(g(x)) is equal to 32x^2-80 x+53 now find an expression for g(f(x))

Answers

F(x) is most likely the f(f(x)x) where f(x) is g(x))f)) and composition can be 69 + 46 which is the total of 137

Answer:

the answers you'd put in the box are 8 and 7.

when the drop down question pops up, the answer i commutative.

Step-by-step explanation:

i got it right lol

A rectangular patio is 9 yd 2 ft long and 5 yd 2 ft wide. What is the perimeter of the patio in yards?

Answers

Answer:

Step-by-step explanation:

perimeter = 2(length + width)

= 2(9 yd  2 ft + 5 yd  2 ft)

= 2(14 yd  4 ft)

= 28 yd  8 ft

one-step Equation
solve for V
26=8+v​

Answers

Answer:

v = 18

Step-by-step explanation:

26 = 8 + v

v = 26 - 8

v = 18

find the sum seven and twenty-five hundredths added to nine and four tenths​

Answers

Answer:

16.65

Step-by-step explanation:

7.25 + 9.4 = 16.65

Basil, Oscar and Sue share 43 sweets.
Sue gets the largest share.
What is the smallest possible number of sweets Sue could get?

Answers

Answer:

Sue gets the largest share of 15, which is the smallest possible number of sweets Sue could get.

Step-by-step explanation:

Basil, Oscar, and Sue share 43 sweets.

Sue gets the largest share.

Let us divide the 42 sweets by 3

42/3 = 14

It means 3 equal parts of 14 make the sum 4.

i.e. 14+14+14 = 42

Since Basil, Oscar and Sue share 43 sweets, which is 1 plus 42.

So, add that 1 to Sue. i.e. 1+14 = 15

so 15+14+14 = 43

Thus, Sue gets the largest share of 15, which is the smallest possible number of sweets Sue could get.

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