A local rectangular patio that originally measured 5 feet by 10 feet was extended on one side each by x feet. The area of the new, larger, L-shaped extension is 126 square feet.

Write an equation that could be used to solve for x.

Explain how you arrived at your equation, i.e. how does it model the situation stated.

Find the value of x by solving your equation. Show your work.

Answer:

3/5

Step-by-step explanation:

both 6 and 10 divide by 2. divide each number by 2 and you get 3/5

Answer:

3/5

Step-by-step explanation:

To find the simplest form of 6/10, you must reduce the fraction.

I did this by dividing both the numerator and denominator by 2, therefore making it 3/5, (because it cannot be reduced evenly anymore).

Hope this helps :)

Answer:

..

Step-by-step explanation:

for the first one is 40 and d and f are 140

for the second one g is 155 and h is 180

Answer:

Hello!

1st problem: e = 40 d = 140 f = 140

Each of these will add up to 360 degrees so what I did was find the measurements that would accurately add up and thats how i got my answers

2nd problem: g = 155 h = 180

Answer:

3/10

Step-by-step explanation:

Multiplies:

x*3

divides

x*3

10

The number is reduced by a fraction 3/10

Fractions are expressed in the form a/b where a and b are integers;

Let the unknown number be "x"

From the final expression, you can see that the coefficient of the unknown variable x is 3/10. Hence the number is reduced by a fraction 3/10

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Answer:

I think this would be 182

Step-by-step explanation:

Answer:

121/4

Step-by-step explanation:

To complete the square, we have to work with the coefficient of x

We have to divide the coefficient of x by 2, square it and add it to both sides

So we divide 11 by 2; which is 11/2; then square it

we have this as 121/4

This number is what we are going to have added

Answer:

Step-by-step explanation:

[tex]x^2+11x-38=0\\\\x^2+2\cdot\frac{11}2x-38=0\\\\\underline{x^2+2\cdot x\cdot\frac{11}2+\bold{\big(\frac{11}2\big)^2}}-\big(\frac{11}2\big)^2-38=0\qquad\qquad\qquad\{\big(\frac{11}2\big)^2=\frac{121}4\}\\\\ \big(x+\frac{11}2\big)^2-\frac{121}4-\frac{152}4=0\\\\ \big(x+\frac{11}2\big)^2-\frac{273}4=0\\\\ \big(x+\frac{11}2\big)^2=\frac{273}4[/tex]

[tex]x+\frac{11}2=\pm\frac{\sqrt{365}}2 \\\\x=\frac{-11\pm\sqrt{365}}2[/tex]

Answer:

4 /9

Step-by-step explanation:

All we have to do is evaluate the options in other to compare the result :

4 / 10 = 0.4

4 / 9 = 0.4444444...

9/ 4 = 2.25

The probability of getting blue with small is 3/20 because 3 is the small quantity and 20 is the total blue.

Give details according to the question :

Total number of blue

Sum of larger and small  = 17+3 = 20

Total number of red

Sum of large and small = 8+12 = 20

Now,

Probability :

The probability formula is used to compute the probability of an event occurring.

P(A) = n(A)/n(S)

Where,

P(A) is the probability of an event “A”

n(A) is the number of favorable outcomes

n(S) is the total number of events in the sample space

Note: Here, the favorable outcome means the outcome of interest.

n(A) is the number of favorable outcomes = 3

n(S) is the total number of events in the sample space = 20

P(Small and Blue)= 3/20

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Answer:

3/40

Step-by-step explanation:

:)

Step-by-step explanation:

[tex]196\pi[/tex]

is the answer

plz mark as brainliest

Answers :

y = 3

Step-by-step explanation:

Step-by-step explanation:

[tex]mean = \frac{(25.25 + 17.50 + 4.75 + 45.00 + 33.50 + 11.70 + 23.80 + 38.00 + 17.75 + 14.25)}{10} \\ = 23.15[/tex]

Answer:  f(x)=(x+2)(x−4) because you can see when each factor is equal to zero.

Step-by-step explanation:

The form of the equation that makes it easiest to see the zeros of the function is (b) Factored Form: f(x)=(x+2)(x−4)

When an equation has been factored, the zeros of the equation can be determined by equation the function to 0.

This means that we simply equate the factored form of the equation to 0.

Hence, the form of the equation that makes it easiest to see the zeros of the function is (b) Factored Form

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Answer:

Waitrose: £12.75

Budgens: £12.28.

Step-by-step explanation:

The price of 6 tin cans in waitrose is £4.25

The price of 9 tin cans in budgens is £6.14

The price of one tin can in waitrose is

[tex]\dfrac{4.25}{6}[/tex]

The price of 18 tin cans in waitrose will be

[tex]\dfrac{4.25}{6}\times 18=\pounds 12.75[/tex]

The price of one tin can in budgens is

[tex]\dfrac{6.14}{9}[/tex]

The price of 18 tin cans in budgens will be

[tex]\dfrac{6.14}{9}\times 18=\pounds12.28[/tex]

The price of 18 tin cans in waitrose is £12.75 and in budgens is £12.28.

Answer:

76

Step-by-step explanation:

Answer:

50 sq ft

Step-by-step explanation:

12.5 sq ft is used to make 3 dresses. Laura will repeat this 4 times since she is making 12 dresses (3x4=12). So, 12.5 x 4 = 50

Therefore, the answer is 50 sq ft.

Hope it help! Don't forget to give me Brainliest!!

Love ya! :)

Answer:

B

Step-by-step explanation:

Answer:

The answer is A (1 1/4x -3 = 30 1/2; x = 22 times), i just finished the test on edge 2021, good luck! :)

Answer:

[tex]c = 2 \times 8 \times 3.14 = 50.24[/tex]

answer:

50.24 in

step-by-step explanation:

C = 2πr

C = 2(3.14)(8)

C = 2(3.14)(8)

C = 50.24 in

A. 197 + 55 = 252

C. 252 – 55 = 197

Step-by-step explanation:

hope this helps :)

Answer:

$1,826

Step-by-step explanation:

Given that

The amount invested is $1,200

The annual rate of interest is 6%

And, the time period is 7

We need to find the value of the account after 7 years in the case of compounded continuously

We know that for compounded continuously, the following formula should be used

= Amount invested ×e^(rate, time)

= $1,200 × e^(0.06 ×7)

= $1,200 × e^0.42

= $1,826

Answer:

124 degrees

Step-by-step explanation:

We know that a straight line is equal to 180 degrees. Therefore, all of these angles combined have to be equal to 180 degrees. This means the equation will be 3x+94+x+30+2x-4=180. Combine like terms to get 6x+120=180. 6x=60. x=10. Now that we know x, we plug it into the equation to find angle AOC. This will make the equation 3(10)+94. This is equal to 30+94 which is equal to 124. Therefore, angle AOC is equal to 124 degrees.

If this helps please mark as brainliest

Answer:

y = - x² - 4x + 13

Step-by-step explanation:

The equation of a parabola in standard form is

y = ax² + bx + c ( a ≠ 0 )

Given

y = - (x + 2)² + 17 ← expand factor using FOIL

   = - (x² + 4x + 4) + 17 ← distribute parenthesis by - 1

   = - x² - 4x - 4 + 17 ← collect like terms

y = - x² - 4x + 13

Answer:

y = -x² -4x +13

Step-by-step explanation:

y = - ( x+2)² + 17

y = - x² -4x -4 +17

y = -x² -4x +13

Answer:

5000x^8

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

did you find the answer

Step-by-step explanation:

Answer:

The third zero is 1.

Step-by-step explanation:

Answer:

sorry Wala po akong answer ehhh sorry

Answer: Yes

If I remember correctly, I believe these ordered pairs indicate a function, as there is exactly 1 output for every input (i.e., (output, input)). If there were 2 inputs of the same number, that'd make this relation not a function.

Answer:

-ing

Step-by-step explanation:

The only example I can give is: trying to be. -ing "to be" makes the statement a continuous present tense.

Hope this helps :)

Answer:

same

Step-by-step explanation:

we are screwed

ahhh

Answer:

Given that a worker earns a 3% increase in her annual salary for each of 5 years, and they plan to continue working in their position for an additional N years, if they continue to earn a 3% increase in their annual salary, to determine what statement could describe the expression that can be used to calculate the total percent increase in their annual salary from the first year to the last year the following calculation should be performed:

1 + 0.03 (interest rate) ^ N (number of years) = final interest rate

1.03 ^ N = Final interest rate

Thus, for example, if it were invested for 5 years, the equation would operate as follows:

1.03 ^ 5 = X

1.16 = X

The total percent increase in their annual salary from the first year to the last year is [tex](1.03)^n[/tex].

A percentage is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

As it is given that the annual salary of the worker increases at a rate of 3%. therefore, the salary of the worker increases compounded at a rate of 3% annually. Therefore, the salary of the worker after n number of years can be written as,

[tex]A = P(1+\dfrac{r}{100})^n[/tex]

where A is the final salary of the worker, P is the initial salary of the worker, r is the rate at which the salary is increasing, and n is the number of years.

Substituting the values in the formula,

[tex]A = P(1+\dfrac{3}{100})^n\\\\A = P(1.03)^n[/tex]

Hence, the total percent increase in their annual salary from the first year to the last year is [tex](1.03)^n[/tex].

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