The length of the rectangle garden is three more than twice its width. If the perimeter of the garden is 114 feet, what is its width of the garden?

Answer:

w = (y+1)/(2+a)

Step-by-step explanation:

y-aw=2w-1

y+1 = 2w+aw (collecting the like terms)

y+1 = w(2+a)

w(2+a) =y+1

w = (y+1)/(2+a)

Answer:

-1 91/200, -1.45, -7/5, -1 5/11

Step-by-step explanation:

Lowest Common Denominator:

LCD = 2200

Equivalent Fractions with the LCD

-7/5 = -3080/2200  (-7/5)

-15/11 = -3000/2200  (-1 5/11)

-145/100 = -3190/2200  (-1.45)

-291/200 = -3201/2200  (-1 91/200)

Answer:

First Option.

Step-by-step explanation:

I recommend using the app Photomath for these types of math problems. It gives a detailed explanation as to how you should solve them.

Answer:  It is 50/100

Answer:

50/100 or 1/2

Answer:

The answer is 16.4%

Step-by-step explanation:

The total decrease of price percentage is 16.4% when the price was decreased by 12% .

Evaluating decrease price :

The first discount reduces the price to (100 - 12)%

                                  = 88%  which is 0.88 times the original price.

The second discount reduces the already discounted price to

                                    (100 - 5)% =

                    95% of the discounted price

(0.95 times the discounted price). Get 2 discounts combined

Final Price = (0.95)(0.88) x (Original Price)

                            = 0.836 x (Original Price)

This is 83.6% of the original price, so the total discount rate is

                               (100 - 83.6)%

                                     = 16.4%.

Answer:

2.84

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

The starting point is (0 , 210) and the rate of change is 1.12

Step-by-step explanation:

The form of the exponential function is [tex]f(x)=a(b)^{x}[/tex] , where

∵ The function is [tex]a(x)=210(1.12)^{x}[/tex]

∵ At the starting point x = 0

- Substitute x in the function by 0

∴ [tex]a(0)=210(1.12)^{0}[/tex]

- Remember any number to power of zero = 1 except 0

∴ [tex](1.12)^{0}=1[/tex]

∴ a(0) = 210(1) = 210

∵ a(x) = y

∴ The starting point is (0 , 210)

∵ The from of the exponential equation is [tex]f(x)=a(b)^{x}[/tex]

∵ [tex]a(x)=210(1.12)^{x}[/tex]

- Compare the two function

∴ b = 1.12

∵ b is the rate of change of the function

∴ The rate of change of the function is 1.12

The starting point is (0 , 210) and the rate of change is 1.12

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Answer:

y=2x+9

Step-by-step explanation:

Answer:

47/100 and 0.47

Step-by-step explanation:

A fraction is a number over 100

A decimal is a number with a decimal point that conside with a fraction

Answer:

x = 7

Step-by-step explanation:

The segment joining the midpoints of the 2 sides of the triangle is one half the length of the third side, that is

2x - 6 = 8 ( add 6 to both sides )

2x = 14 ( divide both sides by 2 )

x = 7

Answer:

[tex]x=5, y=6[/tex]

Step-by-step explanation:

we know that

If triangles ABC and AED are congruent, then its corresponding sides are congruent

so

BC=ED

AC=AD

substitute the given values

[tex]x=y-1[/tex] ----> equation A

[tex]3x-2=2y+1[/tex] ----> equation B

solve the system by substitution

substitute equation A in equation B

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

solve for y

[tex]3y-3-2=2y+1[/tex]

[tex]3y-2y=1+5[/tex]

[tex]y=6[/tex]

Find the value of x

[tex]x=y-1[/tex] ----> [tex]x=6-1=5[/tex]

therefore

[tex]x=5, y=6[/tex]

Answer:

The needed line equation is :  x + y + 2 = 0

Step-by-step explanation:

The slope m of the given line equation = -1

The points through which the line passes  is (1,-3).

Now,as we know:

The POINT SLOPE form of the equation with point (x0,y0) is given as:

y - y0 = m (x-x0)

So, the equation if line q=with m = -1 and (x0,y0) = (1,-3) is given as

y  - (-3)  = -1( x  - 1)  

or, y + 3 = 1 -x

or, x + y + 2 = 0

Hence, the needed line equation is :  x + y + 2 = 0

Answer:

t = 0.77

Step-by-step explanation:

f(t) = 11 × (1.5^t)

f(t) = 15

11 × (1.5^t) = 15

1.5^t = 1.364 (3d.p)

log1.5(1.364) = t

t = 0.77 (2d.p)

Answer:

Let the number of packets be x and the number of boxes be y.

Then, the formula is 6x + 15y

Step-by-step explanation:

The formula for the total number of buttons Nomusa buys, represented by t, in terms of the number of packets, p, and boxes, b, she buys is: t = 6p + 15b.

In this mathematical context, let's suppose that Nomusa buys p packets and b boxes of buttons. The total number of buttons can be represented by the letter t. Since there are 6 buttons in a packet and 15 buttons in a box, the total number of buttons Nomusa buys will be the sum of all buttons in the packets and boxes she buys. Thus, the formula in terms of p (packets) and b (boxes) will be: t = 6p + 15b.

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Final answer:

The balance in the savings account after 5 years, with quarterly compounded interest, will be $2,699.80.

Explanation:

To find the balance after 5 years when the interest is compounded quarterly, we can use the formula for compound interest:

[tex]A = P(1 + r/n)^(nt)[/tex]

Where:
- A is the final amount
- P is the principal amount (initial investment)
- r is the annual interest rate (in decimal form)
- n is the number of times the interest is compounded per year
- t is the number of years

Plugging in the given values:

[tex]A = $2,000(1 + 0.06/4)^(4*5)[/tex]

[tex]A = $2,000(1.015)^20[/tex]

A = $2,000 * 1.3499

A ≈ $2,699.80

After 5 years, the balance in the savings account will be approximately $2,699.80.

Answer:

The correct answer is D.

Answer:

3.3

bc jamal is standing on a platform 1.5 meters high but the trout is under by 4.8

so

4.8-1.5=3.3

Step-by-step explanation:

Answer:

3.3 meters below surface

Step-by-step explanation:

Jamal dude and the distance between surface of water is 1.5 meters

----------------------------------------------------------/ <- the surface of water

                                                                     \

                                                                      I

    trout                                                       /   below jamal by 4.8

equation is 1.5- 4.8 so its - 3.3 or 3.3 meters below surface

Answer:

16/24 which can then be simplified to 2/3

Answer:

8/24 = 1/3

Step-by-step explanation:

- 3(x - 3y) = - 3x + 9y

You're welcome.

Answer: get the app mathaway or math photo it will help u so so much

Step-by-step explanation:

Answer:

$34781.78

Step-by-step explanation:

$33,284 * 1.045 = $34781.78

The new salary will be $34781.78

Last year salary = $33284

Annual raise = 4.5%

Therefore, based on the above figures the new salary will be:

= $33284 + (4.5% × $33284)

= $33284 + (0.045 × $33284)

= $33284 + $1497.78

= $34781.78

Based on the calculation above, the new salary will be $34781.78

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$0.20x + $1.25 = $10

Where x = ounces of salad

Answer:

you can qualify for more jobs and make more money

Step-by-step explanation:

Final answer:

One benefit of getting an Associate Degree is gaining specialized knowledge and skills, which can increase job prospects. Additionally, it can be a stepping stone towards earning a higher degree, leading to more opportunities. Lastly, earning an Associate Degree can provide personal fulfillment and a sense of accomplishment.

Explanation:

One benefit of getting an Associate Degree is that it provides students with the opportunity to gain specialized knowledge and skills in a specific field. This can make them more competitive in the job market and increase their chances of finding employment. For example, someone with an Associate Degree in Business Administration may have a better understanding of business operations and management principles, which can be valuable in entry-level positions or when starting their own business.

Another benefit is that an Associate Degree can serve as a stepping stone towards earning a higher degree. Many universities and colleges accept transfer credits from associate degree programs, allowing students to continue their education and earn a bachelor's degree or beyond. This can open up more career opportunities and potentially lead to higher salaries.

Lastly, getting an Associate Degree can also provide personal fulfillment and a sense of accomplishment. It shows that you have successfully completed a program of study and have attained a certain level of expertise in a subject area. This can boost self-confidence and motivate you to pursue further education or career goals.

Step-by-step explanation:                                                                                      It takes two steps to solve an equation or inequality that has more than one operation:

Simplify using the inverse of addition or subtraction.

Simplify further by using the inverse of multiplication or division.

I looked this up on Google JUST to be sure. I truly hope this helped! Your fellow Brainly user, GalaxyGamingKitty                                                                   May I have Brainliest please?

Final answer:

The price of one movie ticket, represented as p, can be found by dividing the total cost of $35 by the number of friends, which is 4. The equation is 4p = 35, and solving for p gives $8.75 per ticket.

Explanation:

To calculate the price of one movie ticket when you and three friends spend a total of $35 on tickets, you would set up an equation where p represents the price of one ticket. The equation will be:

4p = 35

To solve for p, you would divide both sides of the equation by 4:

p = 35 / 4

p = $8.75

Therefore, the price of one movie ticket is $8.75. The calculated value of p is $8.75, indicating that each movie ticket costs $8.75. This method allows for the precise determination of individual ticket prices based on the total amount spent by the group, facilitating accurate financial planning for movie outings.

Answer:

28

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Part A

p = 0.5 is the hypothesized population proportion

x = 570 is the number of successes

n = 1100 is the sample size

phat = x/n = 570/1100 = 0.518182 is the approximate sample proportion

SE = standard error

SE = sqrt(p*(1-p)/n)

SE = sqrt(0.5*(1-0.5)/1100)

SE = 0.015076 which is approximate

----

We have enough to compute the z test statistic

z = (phat - p)/(SE)

z = (0.518182 - 0.5)/(0.015076)

z = 1.206023

z = 1.21

==============================

Part B

Compute the probability of getting a z score larger than 1.21

P(Z > 1.21) = 1 - P(Z < 1.21)

P(Z > 1.21) = 1 - 0.8869 .... see note below

P(Z > 1.21) = 0.1131

note: the value 0.8869 comes from the table that I've attached as an image below. I have marked in red the proper row and column used to look up the value. The z table is commonly found in statistics textbooks toward the back sections. There are also many free online z tables you can search out as well. I used a z table found online. Alternatively, you can use your TI83 or TI84 calculator to compute the area under the normal curve. You would use the normalCDF function.

The z-statistic for testing whether the proportion of voters favoring the Republican candidate is greater than 0.50 is approximately 1.36. The P-value associated with this z-statistic is roughly 0.0869, indicating the probability of observing such sample results if the true proportion was indeed 0.50.

A newspaper conducted a statewide survey regarding the 1998 race for state senator, sampling n=1100 registered voters, with 570 favoring the Republican candidate. We are testing the hypotheses H₀: p = .50 against Ha: p > .50, where p represents the proportion of registered voters in the state who would vote for the Republican candidate. The steps for calculating the z-statistic and the P-value are outlined.

Calculation of the z-statistic:

To calculate the z-statistic for this test, we use the formula z = (p' - p₀) / √(p0(1 - p₀) / n), where p' = 570/1100 = 0.518 is the sample proportion, and p₀ = 0.50 is the null hypothesis proportion. Plugging in the numbers, we get:

z = (0.518 - 0.50) / √(0.50(1 - 0.50) / 1100) ≈ 1.36.

Calculation of the P-value:

The P-value is the probability that, assuming H0 is true, we would observe a sample proportion as extreme as or more extreme than the one observed. For a z-statistic of 1.36 in a right-tail test, the P-value can be found using a Z-table or software, resulting in:

P-value ≈ 0.0869.

To conclude, based on the calculated P-value, the decision on whether or not to reject the null hypothesis would depend on the level of significance (α) chosen for the test.

Answer:

76c + 228

Step-by-step explanation:

Use the distributive property

76 × 3 = 228

76 × c = 76c

76c + 228

Answer:

76c + 228

Step-by-step explanation:

Answer:

1. Figure 4

2. Figure 3

3. Figure 2

Step-by-step explanation:

Sorry I cant explain it.

Answer:

[tex]a_n=2n+5[/tex]

Step-by-step explanation:

we have the sequence

[tex]7,9,11,...[/tex]

we know that

In an Arithmetic Sequence the difference between one term and the next is a constant and this term is called a common difference

Let

[tex]a_1=7\\a_2=9\\a_3=11[/tex]

we know that

[tex]a_2-a_1=9-7=2[/tex] ----> [tex]a_2=a_1+2[/tex]

[tex]a_3-a_2=11-9=2[/tex] ----> [tex]a_3=a_2+2[/tex]

The common difference is 2

This is an arithmetic sequence

The general formula for an arithmetic sequence is

[tex]a_n=a_1+d(n-1)[/tex]

where

d is the common difference

n is the number of terms

substitute the given values

[tex]a_n=7+2(n-1)[/tex]

[tex]a_n=7+2n-2[/tex]

[tex]a_n=2n+5[/tex]

Answer:

20,000

Step-by-step explanation:

because its closer to 20,000 than 30,000