A family wants to build a pen for their new puppy. They want the area of the pen to be more than 225 square feet.

If the width of the pen is 25 feet, what is the set of possible lengths for the pen?

Answers

Answer 1

The pen must have it's length from any value greater than 9 for it's area to be greater than 225 squared feet

Inequality

In Algebra, inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol. The expressions on both sides of an inequality sign are not equal. Many simple inequalities can be solved by adding, subtracting, multiplying or dividing both sides until you are left with the variable on its own.

Inequality is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions

Given that the area (A) must be greater than 225 squared feet, the width is 25 feet.

Assuming the pen is rectangular in shape;

A = L * W

L * 25 > 225

25L > 225

solving for L

L > 225/25

L > 9

The possible lengths for the pen are values greater than 9

Learn more on inequality here;

https://brainly.com/question/25275758

#SPJ1


Related Questions

Is the set (3,1),(6,4),(9,7),(12,10) a function? Explain how you know

Answers

it is a function
since there is one value of Y for every value in ask this relation is a function

Martha, Brett, and Mike are competing in a cooking competition. They all used different amounts of oil from a can containing 8 gallons of oil.

Martha used 17% of the total oil in the can.
Brett used 0.18 of the total oil in the can.
Mike used 0.7 gallon of the total oil in the can.
Who used the greatest amount of oil from the can? Show your work and explain your answer in words. (10 points)

Answers

Answer:

Mike

Step-by-step explanation:

17% = .17

.7 = .70

All that's left is to compare the amounts of oi for each person and decide who has the most, which would be Mike. Hope this helps! (Rate brainliest!)

Answer:

Brett used the most

Step-by-step explanation:

Martha used = 17%

Brett used = 0.18 = 18/100 = 18%

Mike used = 0.7 × 100/8 = 8.75% (he only used 0.7 of ONE of the gallons in the can, not of the total oil in the can)

Therefore, Brett used the greatest amount of oil.

True or false.The perimeter is the boundary of a shape or an object.

Answers

True.
In geometry, the perimeter can be defined as the path or boundary that surrounds a shape.

In the average household, the tv is on for 6. 75 hours a day. How many hours will have passed after 77. 7 years?.

Answers

the answer is 524.47500

can u sub 2 my channel its Raging Sushi and can u like the only video there is

A box's volume is equal to 600 cubic
inches. If the width of the box is 7
inches less than the length, and the
height is 10 inches less than the length,
find the dimensions of the box.

Answers

Answer:

Step-by-step explanation:

Length = x

width = x - 7

height = x - 10

volume = 600 in^3

Volume = L * w * h

600 = x * (x - 7)*(x - 10)

600 = x * (x^2 - 17x + 70)

600 = x^3 - 17x^2 + 70x

x^3 - 17x^2 + 70x - 600 = 0

There is a genius somewhere that could solve this using algebra. The rest of us have 2 choices. We can graph it (see below) or we could use a program that solves it for us. I'll do both for you.

a = 1

b  = - 17

c = 70

d = - 600

There is only 1 real solution: x = 15

L = 15

w = 8

h = 5

That has to be one of the ugliest graphs made. It does into the hundreds of thousands and it still looks like a straight line. Trust me. It's not.

Find the length x.
2
4
5
X

Answers

Answer:

2.5

Step-by-step explanation:

5/4 = x/2

yeah-ya... right

For a 100 ponits : 13+(-19)=

ANSWER:

Answers

Answer:

-6

Step-by-step explanation:

A line that includes the point (-1,5) has a slope of 4. What is its equation in slope-intercept
form?

Answers

Answer:

y=4x+9

Step-by-step explanation:

The slope intercept form is [tex]y=mx+b[/tex]

So m=4 and we plug it into the equation [tex]y=4x+b[/tex]

Since there are x point is -1 and y point is 5 we plug those in replacing the corresponding variables [tex]5=4(-1)+b[/tex]

So the equation becomes [tex]5=4+b[/tex]

We add 4 to both sides [tex]5=4+b\\+4=+4[/tex] so 9 equals b

Then we rewrite the whole equation as [tex]y=4x+9[/tex]

Find three consecutive whole numbers such that the sum of the squares of the numbers is equal to 434

Answers

Answer:

[tex]\left \{ {{x^2+y^2+z^2=434} \atop {x-y-z=0}} \right.[/tex]

Step-by-step explanation:

What is the perimeter of the L-shaped figure?
Please answer without using a link.

Answers

Answer:

3a+4+4+6+2a

5a+14

Step-by-step explanation:

hope i got it right

Step-by-step explanation:

we know,

perimeter = sum of all sides

so a/q perimeter of the given figure is

→ 3a + 4 + 4 + 6 + a + 4 + 2 + 2a

→ 6a + 20

therefore, perimeter of the given figure is 6a + 20.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

m = – 3; (2, 2) help pls

Answers

Answer:

try  maltpling 3 *2*2

Step-by-step explanation:

Find the value of each variable.
X=?

Answers

Answer:

x=3

Step-by-step explanation:

The equation is x² + 5x = 24, so 3² +15 would be the perfect match. This is because 9+15=24.

The quotient of 7 and twice a number equals 5

Answers

Solution:

Let the number be x.

[tex] \frac{7}{2x} = 5 \\ = > \frac{1}{2x} = \frac{5}{7} \\ = 2x = \frac{7}{5} \\ = > x = \frac{7}{5 \times 2} \\ = > x = \frac{7}{10} [/tex]

Answer:

[tex]x = \frac{7}{10} [/tex]

Hope it helps.

Do comment if you have any query.

BRAINLIEST
I’ve posted this over 5 times please help me

Answers

Answer:

I don't know just guess sorry

For which values of x does each expression make sense? √(-2x)^2

Answers

We want to see for which values of x does the rational expression make sense. We will see that the expression makes sense for x ≤ 0

We know that the argument of a square root can only be a real number equal to or larger than zero.

In this case, we have the expression:

[tex]\sqrt{(-2x)^2} = (\sqrt{-2x} )^2[/tex]

One would want to directly cancel the square root with the 2 exponent, but we can't do that, because in the right-side expression we would have a complex number if the argument is smaller than zero.

The first thing we need to do is to make the argument equal or larger than zero:

-2x ≥ 0

x ≤ 0/-2

x ≤ 0

So the given expression only makes sense for x ≤ 0

If you want to learn more about rational expressions, you can read:

https://brainly.com/question/18545256

Answer: No, the answer is All Real Numbers

Step-by-step explanation: e

solve pls brainliest

Answers

Answer:

20yd²

Step-by-step explanation:

6 × 6 = 36

4 × 4 = 16

36

-16

20

The area of the garden is gonna be 20 yards squared (20yd^2)

how do you solve this inequality
[tex]2x - y \leqslant 3[/tex]


Answers

Step-by-step explanation:

I said in your comments, you can solve it for each variables

you have 2 answers

1) 2x<y+3

[tex]x \leqslant \frac{y + 3}{2} [/tex]

2)

[tex]y \geqslant 2x - 3[/tex]

When you graph a linear equation, it will
form a:
Select one:
a.
curve
O b. square
С.
line
d. all of the above.
Help.

Answers

Answer:

straight line, C

Step-by-step explanation:

The graph of a linear function is a straight line. Graphically, where the line crosses the x -axis, is called a zero, or root. Algebraically, a zero is an x value at which the function of x is equal to 0 . Linear functions can have none, one, or infinitely many zeros.

I hope this helps.

got the picture since copying wont work

Answers

The answer is A

8x^6

Because 4x2=8

And simply add the exponents together

3+3=6

STEP1:

Equation at the end of step 1

(2²x³• 2) • x³

STEP2:

Multiplying exponents:

2.1 2² multiplied by 2¹ = [tex]2 {}^{(2 + 1)} [/tex] = 2³

Equation at the end of step2:

2³x³ • x³

STEP3:

Multiplying exponential expressions :

3.1 x³ multiplied by x³ = [tex] {x}^{(3 + 3)} [/tex] = x⁶

Final result :

2³x⁶

Suppose y varies jointly as x and z. What is y when x = 2 and z = 3, if y = 20 when x = 4 and z = 3?

Answers

Answer:

y = 10

Step-by-step explanation:

Given y varies jointly as x and z then the equation relating them is

y = kxz ← k is the constant of variation

To find k use the condition y = 20 when x = 4 and z = 3 , then

20 = k × 4 × 3 = 12k ( divide both sides by 12 )

[tex]\frac{20}{12}[/tex] = k , that is

k = [tex]\frac{5}{3}[/tex]

y = [tex]\frac{5}{3}[/tex] xz ← equation of variation

When x = 2 and z = 3 , then

y = [tex]\frac{5}{3}[/tex] × 2 × 3 = 5 ×  2 = 10

can you please help me

Answers

Answer:

i think it's the 6th option

Step-by-step explanation:

Solve the equation 6 - 6x = 5x - 9x -2

Answers

Answer:

x = 4

Step-by-step explanation:

[tex]6 - 6x = 5x - 9x - 2\\6 - 6x = - 4x - 2\\- 6x -(-4x)=-2-6\\-2x=-8\\x=-8/-2=4[/tex]

Answer:
x=4
Explanation:
6+2=5x-9x+6x
8=2x

A salesman sells a car for 960,000.If he receives a commission of 15%,how much will be his commission?​

Answers

Answer:

144 000

Step-by-step explanation:

960 000 × 0.15

= 144 000

Answer:

144,000

Step-by-step explanation:

[tex] \frac{15}{100} \times 960000 \\ 15 \times 9600 \\ 144000[/tex]

Complete the statement with always, sometimes, or never.
The terms of a polynomial are ________ monomials.

Answers

Answer:

always

Step-by-step explanation:

The terms of a polynomial are _always_ monomials.

A polynomial is a sum of monomials.

‘Always’ is the answer

4952 rounded to the nearest ten​

Answers

Answer:

4950

Step-by-step explanation:

4952 has:

'4' in the thousands place

'9' in the hundreds place

'5' in the tens place

'2' in the ones place

Rounding to the nearest tens means to look at the value in the ones place and if it is 5 or greater the value in the tens place increases by one, otherwise it remains the same

What is the value of x in the triangle?

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The value of x is ~

[tex] \boxed{5 \sqrt{3} }[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

The Triangle stated in the diagram is a right angled Triangle, so

[tex] \tan(30) = \dfrac{x}{15} [/tex]

[tex] \dfrac{1}{ \sqrt{3} } = \dfrac{x}{15} [/tex]

[tex]x = \dfrac{15}{ \sqrt{3} } [/tex]

[tex]x = 5 \sqrt{3} [/tex]

Sergei buys a rectangular rug for his living room. He measures the diagonal of the rug to be 18 feet. The length of the rug is 3 feet longer than the width. What are the approximate dimensions of the rug? Round each dimension to the nearest tenth of a foot. 10. 4 feet by 7. 4 feet 11. 1 feet by 8. 1 feet 13. 4 feet by 10. 4 feet 14. 1 feet by 11. 1 feet.

Answers

A rectangular rug divided by its diagonal becomes a right angle triangle

The length and width of the rug is 14.1 feet by 11.1 feet

A right angle triangle has the longest side as the hypotenus which is also the diagonal.

Diagonal = 18 feet

width = x

length = x + 3

diagonal ² = length ² + width ²

18² = x² + (x + 3)²

18² = x² + x² + 6x + 9

324 = 2x² + 6x + 9

2x² + 6x + 9 - 324 = 0

2x² + 6x - 315 = 0

solve using quadratic formula

x = - b ± √b² - 4ac / 2a

= - 6 ± √6² - 4×2×-315 / 2×2

= -6 ± √36 - (-2520) / 4

= -6 ± √36 + 2520/4

= -6 ± √2556 / 4

= - 6 ± 6√71 / 4

= -6/4 ± 6√71 / 4

= -3/2 ± 3√71/2

x = 11.1392 or -14.1392

The value of x can't be negative

So,

x = 11.1 to the nearest tenth

Therefore, the value of width and length is

width = x

= 11.1 feet

length = x + 3

= 11.1 + 3

= 14.1 feet

Learn more about Pythagoras theorem:

https://brainly.com/question/20545047

I need help this question is do today pls help me

Answers

Answer:

4.7 x [tex]10^{7}[/tex] miles

Step-by-step explanation:

You know Mars is further away from the sun

so the distance between earth and mars will be

1.4x[tex]10^{8}[/tex]-9.3x[tex]10^{7}[/tex]

14x[tex]10^{7}[/tex]-9.3x[tex]10^{7}[/tex]

4.7 x [tex]10^{7}[/tex] miles


What is the approximate solution to this?

Answers

6x=In(6)
x= 1
- x In (6)
6

Miss Reyes earns $3500 per month from which income tax is deducted at 30%. Calculate her net pay.

Answers

Answer: 3395 dollars

Step-by-step explanation:

First, the question said that Miss Reyes earns 3500 dollars. But the tax is 30%. Than, the tax is 3500 times to 30%. If you calculate it, it will be 105 dollars. Now, we can subtract the 105 from 3500. It equals to 3395 dollars.

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