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Answer:

The shortest side of the fence can have a maximum length of 80 feet

Step-by-step explanation:

Inequalities

To solve the problem, we use the following variables:

x=length of the longer side

y=length of the sorter side

The perimeter of a rectangle is calculated as:

P = 2x + 2y

The perimeter of the fence must be no larger than 500 feet. This condition can be written as:

[tex]2x + 2y \le 500[/tex]

The second condition states the longer side of the fence must be 10 feet more than twice the length of the shorter side.

This can be expressed as:

x = 10 + 2y

Substituting into the inequality:

[tex]2(10 + 2y) + 2y \le 500[/tex]

This is the inequality needed to determine the maximum length of the shorter side of the fence.

Operating:

[tex]20 + 4y + 2y \le 500[/tex]

Simplifying:

[tex]20 + 6y \le 500[/tex]

Subtracting 20:

[tex]6y \le 500 - 20[/tex]

[tex]6y \le 480[/tex]

Solving:

[tex]y \le 480 / 6[/tex]

[tex]y \le 80[/tex]

The shortest side of the fence can have a maximum length of 80 feet

Answer: i know the answer but i cant write it all on here

Step-by-step explanation:

Answer:

Because the side lengths of the triangles are  proportional.

Step-by-step explanation:

I took geometry.

Answer:

= 1.9509 × 10^10

Step-by-step explanation:

Look at the attachment below

Hope this helps (:

Answer:

-$14(2.5) & -$34.73

Step-by-step explanation:

Which estimate uses compatible numbers to estimate the problem?  

✔ -$14(2.5)

What is the exact answer?  

✔ -$34.73

Answer:

answer is above

Step-by-step explanation:

the answer is 5 dimes and 1 nickel.

hope this helps <3

Answer:

4 = dimes and 2 = five cents

Step-by-step explanation:

Answer:

10 dimes would be $1.00 and 4 nickels is $.20. That equals $1.20 and 14 coins.

Kaelyn has 4 nickels

This question is Incomplete

Increases in snow levels are recorded with positive numbers. Decreases in snow levels are recorded with negative numbers. After a winter storm, the depth of the snow on Cherry Street was 10 cm. But then, the snow started melting at a rate of 1/3 per hour. What was the depth of the snow on Cherry Street after 3 hours?

Answer:

9 cm

Step-by-step explanation:

The depth of snow = 10cm

Rate of melting = 1/3 cm per hour

1 hour = 1/3 cm

3 hours = x cm

Cross Multiply

= 3 hours × 1/3cm = 1 hour × x cm

x cm = 3 hours × 1/3cm/1 hour

x cm = 1 cm

Hence in 3 hours, 1 cm of snow would have melted.

Therefore, the depth of the snow on Cherry Street after 3 hours is

10cm - 1 cm

= 9 cm

Answer: the answer is no

Step-by-step explanation:

no, it is not a right triangle

Step-by-step explanation:

39 square+32.5 square=48.5 square

1,521+1056.3=2, 352.3

2577.3=2352.3

it's not the same so the result it no

Answer:

$36.9735831

rounded: $36.97

Answer:

250 berries

Step-by-step explanation:

Berries : Oranges = 10 : 1

Let the number of berries = x

10 : 1 = x : 25

Product of means = 1*x = x

Product of extremes = 10 * 25 = 250

Product of means =  product of extremes

          x = 250

250 berries

Answer:

-78.12

Step-by-step explanation:

Answer: u just divide the small number to the big number and add and get ur answer that is -78.12

Step-by-step explanation:

Answer:

-8x + 12

Step-by-step explanation:

It is asking us to simplify.  Therefore, we multiply the terms. -4(2x - 3) =

- 8x + 12

Answer:

-8× + 12

Step-by-step explanation:

-4x (2x - 3) simplify

Apply the distributive property

-4 (2x) - 4 × -3

multiply 2 by -4

-8x -4 × -3

multiply -4 by -3

= -8x + 12

Answer:

x - 5y = 0

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Given

x + y = 6y ( subtract 6y from both sides )

x - 5y = 0 ← in standard form

Answer: x-5y=0

Step-by-step explanation:

x+y=6y

6y-y

X=5y

X-5y=0

x+4

if x is Wes' sister's age, then it would be x + 4 since Wes is 4 years older.

Answer:Answer:

The simplified form of this is 6^-9

Step-by-step explatnation

In order to find this, we first complete the operation inside the parenthesis. In this case, since it is multiplication, we add the exponents.

6^-2 x 6^5 = 6^3

Now that we have the simplified inside we multiply exponents using the parenthesis.

(6^3)^-3 = 6^-9

Step-by-step explanation:

Answer:

2 cups of venigar to 4 cups of water

Step-by-step explanation:

its right

Answer:

B 2 cups of vinegar to 4 cups of water

Step-by-step explanation:

YOU'RE WELCOME

Answer

11 inches

Step-by-step explanation:

No explanation.

Answer:

4/6

Step-by-step explanation:

The fraction 4/6 is equal to 2/3 when reduced to lowest terms. To find equivalent fractions, just multiply the numerator and denominator of that reduced fraction (2/3) by any integer number, i.e., multiply by 2, 3, 10, 30... 4/6 is equivalent to 2/3 because 2 x 2 = 4 and 3 x 2 = 6 6/9 is equivalent to 2/3 because 2 x 3 = 6 and 3 x 3 = 9

Answer:

y = (x + 3)^2 + 1

Step-by-step explanation:

100% on edge

Have a nice day :]

The equation in vertex form is [tex]y = (x + 3)^2 + 1[/tex], and the values of h & k are -3 and 1

The vertex form of an equation is a quadratic equation, written in the form of a parabola

The equation is given as:

[tex]y = x^2 + 6x + 10[/tex]

Write out the constant

[tex]y = (x^2 + 6x) + 10[/tex]

Take the coefficient of x

[tex]k = 6[/tex]

Divide by 2

[tex]k/2 = 3[/tex]

Square the expression

[tex](k/2)^2 = 9[/tex]

So, we have:

[tex]y = (x^2 + 6x + 9 - 9) + 10[/tex]

Rewrite as:

[tex]y = (x^2 + 6x + 9) -9+ 10[/tex]

[tex]y = (x^2 + 6x + 9) + 1[/tex]

Express as a perfect square

[tex]y = (x + 3)^2 + 1[/tex]

Hence, the equation in vertex form is [tex]y = (x + 3)^2 + 1[/tex], and the values of h & k are -3 and 1

Read more about vertex forms at:

https://brainly.com/question/26738087

Answer:

32

Step-by-step explanation:

Answer:

x>7

Step-by-step explanation:

-2(x - 5) < -x + 3

-2x + 10 < -x + 3

-2x + x < 3 - 10

-x < -7

-x / -1 < -7 / -1

x > 7

Answer:

X < 7

Step-by-step explanation:

Answer:

a=60

Step-by-step explanation:

since there are 6 total "a" values (2 angles worth just a, 2 angles worth 2 a)

you divide the total angle number by 6: 360/6=60

a=60

hope this helps!! <3

Answer:

Answer:

The number of bags of Grow Rite brand = x = 42 bags

The number of bags of Great Green brand = y = 20 bags.

Step-by-step explanation:

The number of bags of Grow Rite brand = x

The number of bags of Great Green brand = y

The equation is given as:

4x + 7y = 308....... Equation 1

5x + 6y = 330....... Equation 2

Using Elimination method.

Multiply Equation 2 by the coefficient of x in Equation 1 and Multiply Equation 1 by the coefficient of x in Equation 2

4x + 7y = 308....... Equation 1 × 5

5x + 6y = 330....... Equation 2 × 4

20x + 35y = 1540..... Equation 3

20x + 24y = 1320....... Equation 4

Subtract Equation 3 from Equation 4

11y = 220

y = 220/11

y = 20 bags

4x + 7y = 308....... Equation 1

4x + 7(20) = 308

4x + 140 = 308

4x = 308 - 140

4x = 168

x = 168/4

x = 42 bags

The number of bags of Grow Rite brand = x = 42 bags

The number of bags of Great Green brand = y = 20 bags.

Answer:

The answer is  C [ the third choice]

Step-by-step explanation:

Answer: I'm not sure what the answer is so I'd either choose :

C.) n > 6/7 or

D.) n > - 6/7