A rectangular park 40 yards wide was redesigned, and a path 1 yard wide was built around it. How long was the park before if, after the path was built, its area became 4200 square yards?

Answer:

10+(-4)=6

Step-by-step explanation:

Answer:

-4 + 10

Step-by-step explanation:

Answer:

A: Area

Step-by-step explanation:

The area is 6^2=36 and 36 is a perfect square.

Given :

Hans is using frequent flier miles to fly to a location 450 miles away, but the airline he is using still charges $15.89 for fees and taxes and $0.17 to redeem each mile.

In the equation below, x represents the distance Hans is flying, and y represents the cost of the trip. y = $0.17x + $15.89 .....1)

To Find :

How much did Hans pay for his trip.

Solution :

x = 450 miles.

Putting value of x in equation 1 we get :

y = $(0.17×450 + 15.89)

y = $(76.5+15.89)

y = $92.39

Therefore, Hans will pay $92.39 for his trip.

Hence, this is the required solution.

Answer:

15

Step-by-step explanation:

60 x 1/4 = 60/4 = 15

[tex]\huge{\boxed{\sf{y= 12 - 6x}}}[/tex]

Step by step explanation:

Step 1:

[tex]2x + \dfrac{y}{3} = 4 [/tex]

Step 2:

[tex] \implies \dfrac{2x \times 3 + y}{3} = 4[/tex]

Let take LCM

Step 3:

[tex]\implies \dfrac{6x + y}{3} = 4[/tex]

Step 4:

[tex]\implies6x + y = 4 \times 3[/tex]

Step 5:

[tex]\implies6x + y = 12[/tex]

Step 6:

[tex]\blue{\implies y= 12 - 6x✓}[/tex]

thank you❤️

Answer:

On the number line, mark the endpoint at 10 with a closed circle.  

Next, draw a ray to the right of 10. ➡️

➡️

Step-by-step explanation:

solve the inequality for x:

1,558 + 60x ≥ 2,158

60x ≥ 600

x ≥ 10

On the number line, mark the endpoint at 10 with a closed circle.  

Next, draw a ray to the right of 10. ➡️

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

solve the inequality for x:

1,558 + 60x ≥ 2,158

60x ≥ 600

x ≥ 10

To learn more on inequality click:

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Answer:72

Step-by-step explanation:

Answer:

cv 454546

Step-by-step explanation:

ZCCVZv dD

Answer:

y = 1/2x + 3

Step-by-step explanation:

y2 - y1 / x2 - x1

9 - 5 / 12 - 4 = 4/8 = 1/2

y = mx+b

slope/m = 1/2

y = 1/2x + b

5 = 1/2(4) + b

5 = 2 + b

3 = b

y = 1/2x + 3

The equation of the line passing through the points (4, 5) and (12, 9) is x - 2y = -6

From the question,

We are to determine the equation of the line passing through the points (4, 5) and (12, 9)

Using the formula,

[tex]\frac{y-y_{1} }{x-x_{1}} = \frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

From the given information

x₁ = 4

y₁ = 5

x₂ = 12

y₂ = 9

Putting the parameters into the formula, we get

[tex]\frac{y-5}{x-4} =\frac{9-5}{12-4}[/tex]

Then,

[tex]\frac{y-5}{x-4} =\frac{4}{8}[/tex]

[tex]\frac{y-5}{x-4} =\frac{1}{2}[/tex]

Then,

[tex]x - 4 = 2(y-5)[/tex]

[tex]x - 4 = 2y-10[/tex]

[tex]x -2y = -10 + 4[/tex]

[tex]x -2y = -6[/tex]

Hence, the equation of the line passing through the points (4, 5) and (12, 9) is x - 2y = -6

Learn more on determining the equation of a line here: https://brainly.com/question/18035751

Answer:

n³

Step-by-step explanation:

Exponent Division Rule: [tex]\frac{b^m}{b^n} =b^{m-n}[/tex]

Step 1: Define

n⁶/n³

Step 2: Use Exponent Rule

n⁶/n³ = n⁶⁻³ = n³

Answer:

n^3

Step-by-step explanation:

Apply the exponent rule:

x^a

-----    = x ^ a-b

x^b

so basically, you're saying n ^ 6-3, which is n^3

Answer:

(-3, -8)

Step-by-step explanation:

-8+2/2= -3

-6 -10/2= -8

(-3, -8)

Answer:

rational

Step-by-step explanation:

Because if you take the square root of 4 you get 2

if it was irrational then it would be a decimal or fraction

(plz mark braillist)

Answer:

It's Rational.

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

It is found that 0.27322370013414... is rational number.

Natural numbers are: 1, 2, 3, ....

Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )

Rational numbers are numbers which can be written in the form of a/b where a and b are integers.

Example: 1/2, 3.5 (which is writable as 7/5) etc.

Irrational numbers are those real numbers which are not rational numbers.

Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.

Since, rational number is any integer, fraction, terminating decimal, or repeating decimal.

Thus, 0.27322370013414... is rational number.

Learn more about a number pattern:

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Answer:

jkl

Step-by-step explanation:

jkl

Answer:

x=-2x+5

Step-by-step explanation:

Answer:

2:18 PM

Step-by-step explanation:

This is the answer because:

1) First, count 3 hours from 10:47 AM. 10:47 - 11:47, 11:47 - 12:47, 12:47 - 1:47. We will end up with 1:47 PM.

2) Next, just add 31 minutes. In order to get 2:00 PM, we have to add 13 minutes, therefore, subtract 13 from 31, this is 18.

3) Finally, add 18 to 2:00, which is just 2:18 PM.

Hope this helps! :D

Answer:

2:18 PM

Step-by-step explanation:

You would start at 10:47 AM, then 3 hours and 31 minutes would pass by. The way I solved this was but adding the hours (10 + 3) and minutes (47 + 31) separatley. You would end up with 13 and 78. You would want to subtract 78 by 60 because 78 is higher than an hour, after that you would end up with 18 and 13:00 is 1:00 PM/AM and you just subtracted 60 from 78 so you would add 1 more hour to 1:00 PM so you would get 2:00 PM. After that, you would end up with 2:18 PM.

Answer:

E. 120

Step-by-step explanation:

A. 40

B. 72

C. 80

D. 100

E. 120

Let

x = the intended distance

y = length of the pool

She covers one fifth of her intended distance

Distance covered = 1/5 of x

= x/5

After swimming six more lengths of the pool she had covered one quarter of her intended distance

x/5 + 6y = 1/4 of x

x/5 + 6y = x/4

Collect like terms

6y = x/4 - x/5

6y = 5x - 4x/20

6y = x/20

x = 20 * 6y

= 120y

x = 120y

The intended distance Rebecca wants to cover = 120

Answer:

8

Step-by-step explanation:

x/100=24/300

100 times 24 =2400

2400 divided by 300 = 8

Answer:

(4x^2-5) x (2x^2-9)

Step-by-step explanation:

01.) Write -46x^2 as a difference

8x^4-10x^2-36x^2+45

02.) Factor out 2x^2 from the expression

8x^4-10x^2 -36x^2+45

2x^2 * (4x^2-5) - 36x^2+45

03.) Factor out -9 from the expression

2x^2 * (4x^2-5) - 9(4x^2-5)

2x^2 *(4x^2-5)-9(4x^2-5)

04. Factor out 4x^2-5 from the expression

(4x^2-5) *(2x^2-9)

Answer:X= 4, y= -2

If you're solving by addition/elimination

Answer:

(4,-2)

I hope this helps

Answer:

I will answer here because I am glitching.

Step-by-step explanation:

1.     1.36 < [tex]\sqrt{2}[/tex] < 2.45

2.    1.65 < [tex]\sqrt{3}[/tex] < 2.34

3.    1.65 < [tex]\sqrt{4}[/tex] < 2.34

4.    2.14 < [tex]\sqrt{5}[/tex] < 3.56

5.    2.41 < [tex]\sqrt{6}[/tex] < 3.56

I believe this is correct but check if I am wrong.

Answer:

j^6 / 18s^23

Step-by-step explanation:

You first by flipping the fraction to get rid of the negative exponents:

(j^6)/(6s^3(3s^5)^4) =

When there are exponents that are being exponentiated together, multiply them:

(j^6) / (6s^3)(3s^20) =

When there are exponents that are being multiplied, add them:

(j^6) / (18s^23)

Explanation:

Let y=3x

To calculate the inverse, interchange

x and y,    

x =3 y

Answer:

c

Step-by-step explanation:

Answer:

C::10:15

Step-by-step explanation:

It is C because he had 15 hours of first aid and 10 hours of cpr and the question says CPR TO FIRST AID therefore the number of CPR training hours will come before the number of First Aid training hours. If it would have asked you to reduce the ratio it would have been 2:3 because you would have had to divide both sides by 5 resulting in the smallest possible ratio.

HOPE THIS HELPS YOU OUT!

Answer:

[tex]=27x + 18y + 30[/tex] fr it's the real answer

Step-by-step explanation:

hope it helps u won't fail(maybe)

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An

espera y termino y te ayudo vale que me falta poco

In (4, 1) 4 represents x, and 1 represents y

y = 3x + 1

1 = 3(4)+1

1 = 12 + 1

1 ≠ 13   ← sides are not equal so (4, 1) is not a solution to y=3x+1

Hiiiii.

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