Jose just removed the children's playset from his back yard to make room for a rectangular garden. He wants to put a fence around the garden to keep out the dog. He has a 90 foot roll of fence in his garage that he plans to use. To fit in the backyard, the width of the garden must be 15 feet. How long can he make the other side, in feet, if he wants to use the entire roll of fence?

Answers

Answer 1
Answer: 30 feet

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

Explanation:

He has 90 feet of fencing overall. This is the perimeter of the rectangle as its the distance around all four sides.

Two of the opposite sides are the width = 15 ft. So we have 15+15 = 30 feet taken up and 90-30 = 60 feet left for the other two opposite sides to add to. Call each of those sides x

x+x = 60

2x = 60

x = 60/2

x = 30

The other side must be 30 feet long.

This rectangle is 30 by 15

perimeter = 30+15+30+15 = 45 + 45 = 90

which helps confirm we have the right answer

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

Or you can solve this way

P = 2*(L+W) is the perimeter of a rectangle with length L and width W

Plug in the perimeter P = 90 and the width W = 15. Solve for L

P = 2*(L+W)

90 = 2*(L+15)

2(L+15) = 90

L+15 = 90/2

L+15 = 45

L = 45-15

L = 30


Related Questions

A ray lies on the line MN←→−. It starts at point Q and passes through the points P and R. Which of the following is a correct name for this ray?

Answers

Answer:

please mark my answer brainliest

Step-by-step explanation:

the correct name will be QP...or QR

Find the decimal equivalent to 4 15 .

Answers

I suppose you meant 4/15? If so, the answer is 0.26666666666

Divide 4 by 15:

4/15 = 0.2666666

Some of the possible rounding are: 0.267, 0.27 or 0.30

The area of a rectangle is the product of its length and width. Both length and width are whole numbers. A rectangular poster has an area of 204 square inches. The width of the poster is greater than 10 inches and is prime. What is the width of the poster?

Answers

Answer:

17 inches.

Step-by-step explanation:

If the area of a rectangle is the product of its length and width, then;

Area of a rectangle = Length × Width

Given that the width of the poster is greater than 10 inches and is prime, this means and W>10

Area of the rectangle = 204in²

On substituting the values in the formula;

A = LW

204 = LW

Since W is greater than 10 and is prime, it can be between the prime numbers 11, 13 and 17. Note that L must be a whole number as well for any number to be the right answer we seek.

Let's test each values of the prime width that will give a length that is a whole number.

If W = 11

204 = 11×L

L = 204/11

L = 18.54

Since the length didn't give us a whole number, this means our width is not 11.

If W = 13

204 = L × 13

L = 204/13

L = 15.69

Also, we can see that the length is not also a whole number for the value of 13 as the prime width.

If W = 17

204 = L × 17

L = 204/17

L = 12

It can be seen that the length of the rectangle gave us a whole number when we used the prime width of 17, hence the width of the poster that is greater than 10 inches and is prime that makes both length and width to be a whole number is 17 inches.

Answer:17 inches

Step-by-step explanation:

I NEED HELP PLEASE HELP ME

Answers

Answer:

Step-by-step explanation:

y - 5 = 8

y = 13

Pattern y: Starts at 0. Rule: Add 6. The values of Pattern x and Pattern y are graphed on a coordinate graph. Some of the ordered pairs for this pattern are (0,0), (3,6),(6,12), and (9,18). Which ordered pair also belongs to this pattern?

A.(12,24)
B. (15,24)
C.(12,36)
D.(1,6)

Answers

Answer:

A (12, 24)

Step-by-step explanation:

The pattern in the ordered pair is (Add 3, Times itself)

The square root of ____________ like 4, 9, and 16 is a _________ number.

Answers

Answer:

The square root of numbers like 4, 9, and 16 is a square number.

Find all complex solutions of 3x^2+4x+5=0 please guide!

Answers

Answer:

Step-by-step explanation:

help pls !!!!!!!!!!!!!!

Answers

Answer:

h(1) = 1, h(2) = 3, h(3) = 4

Step-by-step explanation:

Given function h(x)

Need to find :

h(1), h(2), h(4)

h(1) falls under the second condition as -2 ≤1<2:

h(1) = - (x-1)² + 1 = -( 1 - 1)² + 1 = 1

h(2) and h(4) fall under the third condition as x=2,4 ≥ 2:

h(2) = 1/2x + 2 = 1/2*2 + 2 = 1 + 2 = 3h(4) = 1/2x + 2 = 1/2 * 4 + 2 = 2 + 2 = 4

Ben and Sam are diving in a lake at 14 feet below the surface been spot Sam 9 feet directly below him find sams depth

Answers

Answer:

23

Step-by-step explanation:

1

14

+ 9

--------

2 3

hope this helps

The depth of Sam's from the surface is 23 feet.

We are given that Ben and Sam are diving in a lake.

Ben and Sam are 14 feet below the surface.

But after a while, Ben spots Sam 9 feet directly below him.

We have to find sam's depth from the surface.

Let the depth at which both Ben and Sam were diving in the lake be X.

i.e X = 14 feet.

Let the depth of Sam from Ben be Y.

i.e Y = 9 feet.

Now Sam's depth from the surface would be:

= X + Y

= 14 + 9

= 23 feet.

Thus, the depth of Sam's from the surface is 23 feet.

Learn more about addition word problems here:

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Find an equation of the sphere that passes through the point (7, 1, −3) and has center (5, 6, 5).

Answers

Answer:

The equation of the sphere that passes through the point (7,1,-3) and center at (5, 6, 5) is [tex](x-5)^{2}+(y-6)^{2}+(z-5)^{2} = 93[/tex].

Step-by-step explanation:

Any sphere centered at [tex](h,k,s)[/tex] in an Euclidean space with a radius [tex]r[/tex] is represented by the following formula:

[tex](x-h)^{2} +(y-k)^{2}+(z-s)^{2} =r^{2}[/tex]

If [tex](x,y,z) = (7,1,-3)[/tex] and [tex](h,k, s) = (5,6,5)[/tex], the radius of the sphere is obtained:

[tex](7-5)^{2}+(1-6)^{2}+(-3-5)^{2} = r^{2}[/tex]

[tex]r^{2} = 93[/tex]

[tex]r = \sqrt{93}[/tex]

The equation of the sphere that passes through the point (7,1,-3) and center at (5, 6, 5) is [tex](x-5)^{2}+(y-6)^{2}+(z-5)^{2} = 93[/tex].

—4 + (—19) can u help me plz

Answers

Answer:

-23

Step-by-step explanation: Because when you are adding to negatives together, they add up forward, not backword.

The total number of points scored during 10 football games are shown below 45,47,23,30,27,31,21,31,22,38 select the correct five-number summary from the data set

Answers

Answer:

[tex]Min=21, Q_1=23, M=30.5, Q_3=38,Max=47[/tex].

Step-by-step explanation:

The given data set is

45, 47, 23, 30, 27, 31, 21, 31, 22, 38

Arrange the data is ascending order.

21, 22, 23, 27, 30, 31, 31, 38, 45, 47

Divide the data in 4 equal parts.

(21, 22),23, (27, 30),( 31, 31), 38, (45, 47)

Now,  

Minimum value = 21

First quartile, [tex]Q_1=23[/tex]

Median, [tex]M=\dfrac{30+31}{2}=30.5[/tex]

Third quartile, [tex]Q_3=38[/tex]

Maximum value = 47

Therefore, the five-number summary for the given data set is [tex]Min=21, Q_1=23, M=30.5, Q_3=38,Max=47[/tex].

what is 0.7x in fraction form​

Answers

Answer:

7/10x hope it helps

Answer in simplest form -4/15 + 1/6 =

Answers

Answer:

The answer is -0.1

Step-by-step explanation:

You just need to calculate it in a calculator

Hope it helps :)

Answer : -1/9

Steps :

Volume of a cube is 5832 m². Fince the
cost of painting its total surface area
at the rate of Rs. 3.50 per m².​

Answers

a≈18

V Volume

5832=18

iverse of f (x)= 3x​

Answers

Answer:

Divide −x - x by 1 1 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=−x3 f - 1 ( x ) = - x 3 is the inverse of f(x)=−3x f ( x ) = - 3 x

Question 3
1 pts
Tim has 74 socks, all in pairs. He has 1 more pair of white socks than black socks. How many individual socks of
each color does he have?

Answers

Answer:

36 individual white socks

38 individual black socks

Step-by-step explanation:

Pairs of socks = 74

He has 1 more pair of white socks than black socks.

Take the colors of the socks to be white and black

Let

Black pairs of socks = x

White pairs of socks = x + 1

Individual socks of each color

A pair of white socks = 2 Individual white socks

= 2white

A pair of black socks = 2 individual black socks

= 2black

Total pairs of socks = black pairs of socks + white pairs of socks

74 = 2white + 2black

74 = 2(x) + 2(x +1)

74 = 2x + 2x + 2

74 = 4x + 2

Subtract 2 from both sides

74 - 2 = 4x

72 = 4x

Divide both sides by 4

x = 72/4

= 18

x = 18

Pairs of white socks = x = 18

A pair of white socks = 2whites

= 2(18)

= 36 individual white socks

Pairs of black socks = x + 1

= 18 + 1

= 19 pairs

A pair of black socks = 2black

= 2(19)

= 38 individual black socks

10x=15 find value of x

Answers

Answer:

x= 1.5

Step-by-step explanation:

According to the question

10x = 15

x = 15 / 10

x = 1.5

Answer:

x=1.5

Step-by-step explanation:

Isolate x on one side of the equation by dividing both sides by the factor 10:

[tex]10x=15\\\frac{10\,x}{10} =\frac{15}{10}\\x=1.5[/tex]

Pounds gained by people in your class during the first month of the semester on example of which type of data? 1. Qualitative 2. Quantitative 3. Extreme 4. Statistic

Answers

Answer:

quantitative

Step-by-step explanation:

Weight is a continuous variable, and so the numbers of pounds gained by people in your class is quantitative.

Pounds gained by people in your class during the first month of the semester is 2. Quantitative type of data.

What are the types of statistical data?

In Statistics, Data Types play a very crucial and important role, which needs to be understood, to apply statistical measurements correctly to your data so that we can correctly conclude certain assumptions about the data.

They are Numerical data, Ordinal data, and Categorical data.

Given, Pounds gained by people in your class during the first month of the semester can be represented as numbers so it is a numerical or

Quantitative data.

learn more about data types in statistics here :

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George’s parents are going on a cruise and are concerned about paying their bills while they are gone because they will not have the usual means of communication. What is the best payment method for them to use while they are gone?
telephone
online payment
mail
automatic withdrawal

Answers

automatic withdrawal

D. Automatic withdrawal

May I have brainliest please? :)

Please Help ASAP it's my Math HW

Answers

Step-by-step explanation:

Use segment addition/subtraction:

GK = GJ − HJ + HK

GK = 2x + 5 − x + 4x − 1

GK = 5x + 4

If GK = 39, then the value of x is:

39 = 5x + 4

5x = 35

x = 7

Use segment subtraction to find GH and JK.

GH = GJ − HJ

GH = 2x + 5 − x

GH = x + 5

GH = 12

JK = HK − HJ

JK = 4x − 1 − x

JK = 3x − 1

JK = 20

How do you solve 6^14/(2^5)(3^7)?

Answers

Answer:

1119744

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out expression

[tex]\frac{6^{14}}{(2^5)(3^7)}[/tex]

Step 2: Evaluate exponents

6¹⁴ = 78365164096

2⁵ = 32

3⁷ = 2187

Step 3: Replace

[tex]\frac{78364164096}{32(2187)}[/tex]

Step 4: Multiply

[tex]\frac{78364164096}{69984}[/tex]

Step 5: Divide

1119744

Pleas helppppppppppp

Answers

Answer:

Line AB

Hope this helps!

( -8v + 6v 4 - 8 ) + ( 3v - 7 ) simplified

Answers

Answer:

6v⁴ - 5v - 15

Step-by-step explanation:

Step 1: Write out expression

-8v + 6v⁴ - 8 + 3v - 7

Step 2: Combine like terms (v)

6v⁴ - 5v - 8 - 7

Step 3: Combine like terms (constants)

6v⁴ - 5v - 15

Melinda poured herself 20 ounces of orange juice for breakfast. By the end of her meal, she only has 4 ounces left. What scale factor represents the amount of orange juice she has left ?

Answers

Answer:my profile pic is a throwing dart not a ding dong dirty

Step-by-step explanation:

Solve for r. 7(r+1) = 20.3

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{r = 1.9}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{7(r + 1) = 20.3}[/tex]

Distribute 7 through the parentheses

⇒[tex] \sf{7r + 7 = 20.3}[/tex]

Move 7 to right hand side and change it's sign

⇒[tex] \sf{7r = 20.3 - 7}[/tex]

Subtract 7 from 20.3

⇒[tex] \sf{7r = 13.3}[/tex]

Divide both sides of the equation by 7

⇒[tex] \sf{ \frac{7r}{7} = \frac{13.3}{7} }[/tex]

Calculate

⇒[tex] \sf{r = 1.9}[/tex]

Hope I helped!

Best regards!!

r is 1.9

Solve  7(r+1) = 20.3

Remove the brackets by dividing both sides by 7:

7(r+1) / 7 = 20.3 / 7

r + 1 = 2.9

Take 1 to the other side so that you can be left with r. When you do this, the sign will change from positive to negative:

r = 2.9 - 1

r = 1.9

r is therefore 1.9

Find out more at https://brainly.com/question/17289311.

John brings $15 to the candy store. He buys a bag of jelly beans for $4 and plans to buy some chocolate that costs $5 per pound. Write an inequality to solve for all the possible values of x, the number of pounds of chocolate John could buy.

Answers

Answer:

he could by 2 pounds and still have a dollar left over because

15 11 6

-4 -5 -5 so yeah

11 6 1

Use the following cell phone airport data speeds​ (Mbps) from a particular network. Find the percentile corresponding to the data speed 0.8 Mbps.
0.1 0.2 0.2 0.2 0.4
0.4 0.4 0.5 0.5 0.6
0.7 0.8 0.8 0.9 0.9
1.5 1.5 1.6 1.9 1.9
1.9 1.9 2.1 2.4 2.6
2.7 2.8 3.2 3.6 4.5
4.9 5.4 5.8 6.1 6.4
6.6 7.1 9.6 10.9 11.2
11.8 12.1 12.6 13.3 13.8
14.5 14.5 14.9 15.8 28.7

Answers

2.7 2.8 3.2.3.64.5 it has to be that answer

what valúe of x solves the equation?
5+x-6x=-5​

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 2}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{5 + x - 6x = - 5}[/tex]

Collect like terms

⇒[tex] \sf{5 - 5x = - 5}[/tex]

Move 5 to right hand side and change it's sign

⇒[tex] \sf{ - 5x = - 5 - 5}[/tex]

Calculate

⇒[tex] \sf{ - 5x = - 10}[/tex]

Divide both sides of the equation by -5

⇒[tex] \sf{ \frac{ - 5x}{ - 5} = \frac{ - 10}{ - 5} }[/tex]

Calculate

⇒[tex] \sf{x = 2}[/tex]

Hope I helped!

Best regards!!

Answer:

[tex]\Huge \boxed{x=2}[/tex]

Step-by-step explanation:

[tex]5+x-6x=-5[/tex]

Combining like terms.

[tex]5-5x=-5[/tex]

Subtracting 5 from both sides.

[tex]-5x=-10[/tex]

Dividing both sides by -5.

[tex]x=2[/tex]

Is the difference of two rational numbers always a rational number? Explain.​

Answers

Answer:

yes, the subtracting of two rational numbers is like subtracting two fractions, and the result will always be a fraction which is a rational number. (All rational numbers is a number that can be represented as a fraction)

Step-by-step explanation:

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