John is building a rectangular puppy kennel up against his house using 31 feet of fencing. The side against the house does not need a fence and the side parallel to his house needs to be 15 feet long. Write an equation that models the situation and solve for the length of one of the shorter sides that extend out from the house.

Answers

Answer 1

Answer:

Each of the shorter sides extended out from the house is 8 feet long.

Explanation:

So John, needs to make a 3 sided fence. He has 31 feet of fencing to do this with and the single side parallel to the house is 15 feet.

We can write the equation for this problem as:

31=2s+15

Where 31 is the total amount of fencing John has to use, 15 is the one side where the length is given, s is the length of each of the other two sides and because there are two sides we multiply s by 2

Solving this equation gives:

31−15=2s+15−15

16=2s+0

16=2s

162=2s2

8=s

Related Questions

which 2 consecutive whole # does the square root of 55 lie between? Explain how to determined the 2 whole #

Answers

Well i know some common squares of 1-1,2-4,3-9,4-16,5-25,6-36,7-49,8-64

Well looking at the list, we see that 55 falls between 49 and 64, meaning its root is between 7 and 8. We are right since the root of 55 is 7.4!

7.2 x 10 to the 6th power

Answers

7.2 x 10 to the 6th power is another way to say 7.2 x 1 million

So the answer is 7,200,000

7200000 is the answer

Write a unit rate for the situation

270 miles in 6 hours

Answers

45 miles per hour. 270 divided by 6 is 45 there.

A unit rate for the situation is 45 miles per hour.

Given that, 270 miles in 6 hours.

What is the unit rate?

Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.

Now, unit rate = Number of miles/Number of hours

= 270/6

= 45 miles per hour

Therefore, a unit rate for the situation is 45 miles per hour.

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A banana bread recipe calls for 3/4 cup butter. One tablespoon equals 1/16 cup. How many tablespoons of butter are needed to make the banan bread?

Answers

We're finding the equivalent value to 3/4. So 3/4 would be equal to or equivalent to 12/16. We know this because 12/16 simplified = 3/4. So since 3/4 is equal to 12/16, that means it would take us 12 tablespoons of butter to make the banana bread.

I hope this helps! ^_^

Answer:

There are needed 12 tablespoons of butter to make the banana bread.

Step-by-step explanation:

The recipe calls for 3/4 cups of butter.One tablespoon equals 1/16 cup.

To solve this problem, we just need to use the rule of three. If one tablespoon equals 1/16 cups, how many tablespoons would be 3/4 cups:

[tex]x=\frac{3}{4} \ cups \ \frac{1 \ tablespoon}{\frac{1}{16} \ cups } \\x=\frac{3}{4} \times \frac{16}{1} \ tablespoon\\ x= 12 \ tablespoon[/tex]

Therefore, there are needed 12 tablespoons of butter to make the banana bread.

A customer at a raceway can drive around the track 54 times for $12. At this rate, how many times can the customer drive around the track for $8?

Answers

well first you need to find out how many times a customer can drive around the track for $1. divide 12 into 54 and you would get 4.5. that means 1 dollars worth and you can drive around the track 4.5 times. so to find out how many times a customer can drive around the track for $8 all you have to do is multiply 4.5 times 8 and you get 36 meaning the customer can drive around the track 36 times for $8. Hope this helps!! if you need anything else just ask! :)

412 divided by 5 using compatible numbers

Answers

The answer is 82.4 because when u divide you get 82.4
And that becomes 82.40

Solve. 4(a + 2) = 14 – 2(3 – 2a)
Select one:
a. –2
b. –1
c. all real numbers
d. no solution

Answers

Answer:

C. All Real Numbers

Step-by-step explanation:

If you take any variable and do the math with that variable on both sides of the equation the answer is always balanced. So, the answer is C.

The perimeter of a triangle is 34 meter. The sides measure 16 meters, 8 meaters, and x meters. What is the value of x?

Answers

16 + 8 is 25 and 34 - 24 is 10 so the value of x is 10.

What is 5/8 divided by 2 7/12?

Answers

before you start the problem, you must always change the mixed number into an improper fraction. In this situation, the mixed number would be 2 7/12. To turn this mixed number into and improper fraction, you multiply 2 by 12, then add 7. The improper fraction would be 31/12. Now, you rewrite the problem using the improper fraction instead of the mixed number. I like to use the technique called, K.C.F. This stands for keep, change, flip. To rewrite this problem again, you rewrite 5/8,( in other terms, you KEEP this fraction the same) CHANGE the division sign into a multiplication sign, and then you FLIP 31/12 to 12/31. Now you simply multiply 5 and 12, which gets you to 60, and then multiply 8 and 31, which gets you to 248. The answer would be 60/248. The final step is to reduce this fraction to 13/62. I hope this helps!

5/8 divided by 27/12 gives fraction 15/62.

To divide 5/8 by 2 7/12, we can convert the mixed number 2 7/12 into an improper fraction.

First, multiply the whole number (2) by the denominator (12) and add the numerator (7) to obtain the new numerator.

= 2 x 12 + 7

= 24 + 7

= 31

The new numerator is 31.

The denominator remains the same, which is 12.

Now we have the division problem:

5/8 ÷ 31/12

To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction:

5/8 ÷ 31/12 = 5/8 x 12/31

Now, multiply the numerators and denominators:

= (5 x 12) / (8 x 31)

= 60/248

The fraction 60/248 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 4:

= 60/248

= 15/62

Therefore, 5/8 divided by 27/12 gives fraction 15/62.

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Sam's recipe calls for 2 1/2 cups of flour. Pete's recipe calls for 2 1/4 times the amount of flour in Sam's recipe.
Which statement is true about the recipes?
A. Sam's recipe uses less flour than Pete's.
B. Pete's recipe uses exactly 2 1/4 cups of flour, so he uses less flour in his recipe than Sam does.
C. Pete uses less flour than Sam does. Sam's recipe uses 1/4 more flour than the amount in Pete's recipe.

Answers

The answer is A. Sam's recipe uses less flour than Pete's becuase Pete is using 2 1/4 multiplied by 2 1/2 (Sam's) so it will be more than Sam's.

A) the amount of petes recipe is equal to 2.5 times 2.25 and every time you multiply you get a bigger number

what is £1.95 x 6
thank you

Answers

Your answer would be 11.7 Hope this helps!

£1.95 × 6 → £11.7 :)...

The legs of a right triangle are 10 centimeters and 24 centimeters long. What is the length of the hypotenuse?

22 centimeters
26 centimeters
30 centimeters
34 centimeters

Answers

a² + b² = c²

Where a and b are the legs and c is the hypotenuse

So, plug in 10 for one of the legs and 24 for the other leg

c will be left blank because that is what you are trying to find, the hypotenuse

10² + 24² = c²

100 + 576 = c²

676 = c²

Take the square root of both sides of the equation to isolate c

√676 = √c²

Square of c and the square root cross out on the right

Take the square root of 676

c = 26

So, the length of the hypotenuse is 26 centimeters

Answer:

Step-by-step explanation:

Just took the quiz, can I have Brainliest?

a team of 4 people participates in a 400 yard relay race. Each team member runs the same distance. The team completes the race in a total of 53.2 seconds. What is the average running time for each person.

Answers

it is 13.3,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

a team of 4people participate in a 400-yard relay race each team member runs the same distance the team completes the race in a total of 53.2 seconds what is the average running time of each person

a car travels 345 miles in 7 hours (with a constant speed). how far can it travel in 9 hours (with the same speed)?

Answers

divide 345 by 7. the answer you then multiply it by 9.

find the product of these numbers: 367 614

Answers

367 x 614 = 225,338 :P

If you want to set it up as a hand math, take
367
x614
225,338

Aiden refills three token machines in an arcade. He puts twice the number in machine A as in machine B, and in machine C , he puts 3/4 of what he put in machine A. The total amount of tokens was 18324. How many tokens does each machine have.

Answers

It is a possibility of being 16 or 5/6

Answer:

Machine A has 8144 tokens, machine B has 4072 tokens and machine C has 6108 tokens.

Step-by-step explanation:

Let call: X the number of tokens that machine A has, Y the number of tokens that machine B has and Z the number of tokens that machine C has.

From the sentence: He puts twice the number in machine A as in machine B, we can formulate the equation 1 as:

X = 2*Y

Solving for Y we can write the equation 1 as:

Y = X/2

From the sentence: in machine C , he puts 3/4 of what he put in machine A, we can formulate the equation 2 as:

Z = (3/4)*X

And from the sentence the total amount of tokens was 18324. we can formulate the equation 3 as:

X + Y + Z = 18324

So, if we replace the Y by X/2 and Z by (3/4)X on equation 3 and solve for X, we get:

X + Y + Z = 18324

X + X/2 + (3/4)X = 18324

(9/4)X=18324

X = 18324*(4/9)

X = 8144

Then, replacing this value on equation 1 and 2 to find Y and Z respectively, we get:

Y = X/2 = 8144/2 = 4071

Z = (3/4)*X = (3/4)*4071 = 6108

So, machine A has 8144 tokens, machine B has 4072 tokens and machine C has 6108 tokens.

The surface of a trampoline is in the shape of a regular hexagon? Find the measure of each interior angle of the trampoline?

Answers

The sum of all the angles in a regular hexagon will always be 720, so you just have to divide 720 by six (number of angles). That means that each angle will be 120 degrees

The measure of each of the interior angles of the regular hexagon using the Polygon Interior Angle Sum Theorem is 120°.

What is a polygon?

A polygon is a planar figure characterized by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.

The sum of the interior angle of a polygon with an 'n' number of sides is given by the formula,

The sum of the interior angle = (n-2)×180°

As it is known that a hexagon has 6 number of sides, therefore, the sum of the interior angles can be written as,

The sum of the interior angle of Hexagon = (6-2)×180° = 720°

Now, the measure of each interior angle = (720°/6) = 120°

Hence, the measure of each of the interior angles of the regular hexagon using the Polygon Interior Angle Sum Theorem is 120°.

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how do you divide 762÷4

Answers

You put 762 over 4 in fraction form or you divide 762 by 4 in a long division problem

726÷4=181 Remainder 5
hope this helps !!!

What is an equivalent ratio for 2 gallons and 3 quarts

Answers

4.704 liters
Because there are .956 quarts in a liter and 3.785 gallons in a liter

Determine the equivalent ratio for 2 gallons and 3 quarts

The equivalent ratio for 2 gallons and 3 quarts is 8 : 3

convert gallon to quarts

1 gallon = 4 quarts

2 gallons = 4 quarts × 2

= 8 quarts

So,

2 gallons = 8 quarts

2 gallons : 3 quarts

= 8 quarts : 3 quarts

= 8 : 3

Therefore, the equivalent ratio for 2 gallons and 3 quarts is 8 : 3

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What is 35 divided by 768

Answers

That should equal 0.0455729. If you meant 768 divided by 35, that equals 21.942857 or 22 (if rounded up.)

768÷35=21 but it is not a equal number

Suppose you are finding 296/4 using partial quotients. Is 50 or 70 a more reasonable partial quotient? Explain.

Answers

70 because 4×70 is 280 and 4×50 is only 200

what is the meaning of distributive property expression

Answers

You have to multiply both of the numbers in the parenthesis and then multiply them again them

Ex: 4 x 4 = 16

(2x2) x (2x2)
4 x 4 =16

distributive property. noun. 1. ... noun. a property indicating a special way in which multiplication is applied to addition of two or more numbers in which each term inside a set of parentheses can be multiplied by a factor outside the parentheses, such as a(b + c) = ab + ac.

If the sphere shown above has a radius of 6 units, then what is the approximate volume of the sphere? A. 1,130.4 cubic units B. 452.16 cubic units C. 904.32 cubic units D. 1,071.79 cubic units

Answers

Volume of a sphere is calculated with V=(4/3)πr^3
We have the value of r, which is 6.
Plug in the value, and solve.
V=(4/3)π(6^3)
V=(4/3)π(216)
V=π(288)
V=904.7786842
So, C. is your answer.

Answer:

yo answer is 288

Step-by-step explanation:

show how to make a ten to fund 12-4 write the number sentence

Answers

Subtract 2 from 12. 12-2 is 10. You can subtract 10 with 4, and then add 2. (10-4)+2=8.

10-4 =6 that is the answer

y=2x+0.5 I have to solve this using a weird table and then I have to graph it. How?

Answers

you have to choose any input ,plug it in the equation ,solve it and look what is the output.Do that for the rest of the points . when you finish graph your points.

Final answer:

To solve the equation y=2x+0.5, prepare a table of (x, y) values. You plug in sample x values into the equation to obtain corresponding y values. Plot the (x, y) pairs in a graph and draw a line through the points.

Explanation:

To solve the equation y=2x+0.5 and graph it, you need to create a table of (x,y) values.

First, choose some values for x, such as -2, -1, 0, 1, 2. For example, for x = -2, you would plug this value into the equation to find y. Doing the operation y=2*(-2)+0.5, we find that y = -4 + 0.5, so when x = -2, y = -4.5.

Repeat this process for each x value you chose. Once you have a table of values, you can plot these data pairs in a graph, marking the x and y coordinates for each pair. These points should line up and you can draw a line through them. This will be the graph for y = 2x + 0.5.

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A park planner is designing a rectangular butterfly garden. The plan is for the garden to have an area of 1,917 square feet wide, how long is it?

Answers

Area equals width multiplied by length. Set up the equation as 9x=1917. The x represents the unknown length. The 9 represents the given width. Divide 1917 by 9 resulting in x=213. The length of the garden is 213 feet.

There are 680 raisins in 8 bags. If each bag has the same number of raisins, how many raisins are in 12 bags?

Answers

you do 680 divided by 8 then get 85. then do 85×12=1020

The answer to your question is 680 divided by 8 which equals 85 than multiply it by 12 and the answer is 1,020.

Hope this helped let me know if you need any more help I'll be happy to help.

which amount is larger 1/2 or .39

Answers

1/2 is the larger amount

i think 1/2is bigger than 0.39

What is 3r+n^(2)-r+5-2n+2 simplified

Answers

2r-2n+5+n^2
if you wanted to you could go a step farther and combine n^2 and -2n

DeShawn deposited $6500 into a bank account that earned 11.5% simple interest each year. He earned $4485 in interest before closing the account. If no money was deposited into or withdrawn from the account, for how many years was the money in the account?

Answers

6 hope this helps! :)

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