The perimeter of a rectangle is 220 inches. The ratio of its length to its width is 7:3 Find the area of the rectangle

\(\text{Given that,}\\\\(x_1,y_1) = (1,-2)~~ \text{and}~~ (x_2,y_2) = (3,-4)\\\\\text{Slope,}~ m= \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{-4+2}{3-1} = -\dfrac 22 = -1\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y +2 = -1(x-1)\\\\\implies y = -x+1 -2\\\\\implies y = -x-1\\\\\text{This is the slope-intercept form(y =mx+b).}\)

Answer:

y=-x-1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-4-(-2))/(3-1)

m=(-4+2)/2

m=-2/2

m=-1

y-y1=m(x-x1)

y-(-2)=-1(x-1)

y+2=-x+1

y=-x+1-2

y=-x-1

If Tito took a loan of $10000 from a bank to be repaid within 4 years, at 12% Simple interest per annum, then, he will have to pay overall $4800 as interest to the bank over 4 years and a total payment of $14800 at the end of the 4th year to repay and close off the loan.

As per the question statement, a bank charges 12% Simple interest per annum on cash loans to its clients and Tito took a loan of $10000 from the same bank to be repaid within 4 years.

We are required to calculate the overall interest Tito has to pay to bank if he repays and closes the loan at the end of 4th year, and also to calculate the total payment required to repay and close off the loan at the end of the 4th year.

To solve this question, we need to know the formula to calculate the interest amount in case of simple interest which goes as

Interest (I) \(=(\frac{P*R*T}{100} )\)

where, "P" = Principle amount of Loan,

"R" = Rate of simple interest charged on the principle per annum, and

"T" = Time period within which, the loan is to be repaid.

Here, (P = 10000), (R = 12%) and (T = 4). Then, the overall interest Tito will have to pay at the end of 4th year  = \((\frac{10000*12*4}{100}) = (100*12*4)=(48*100)=4800\)

And total amount to be paid to repay and close of the loan at the end of 4th year will be = $[4800 + 10000] = $14800.

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The sentence that correctly compares the two numbers is 5385 > 5.395

Here are inequality signs and what they mean:
Note that

5385 is greater than 5.385. Thus, the correct statement is 5385 > 5.395.

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Answer:

The exact value of the other leg is 10.

Step-by-step explanation:

Finding the exact value of x given a 45 degree angle and a side length of 10 can be done using trigonometry. In a 45-45-90 right triangle, the two legs are congruent and the hypotenuse is equal to the square root of 2 times the length of the legs.

Therefore, if one leg is 10, the hypotenuse is 10 times the square root of 2. To find the length of the other leg, we can use the Pythagorean theorem:

c^2 = a^2 + b^2, where c is the hypotenuse, a and b are the legs of the right triangle.

Substituting known values, we get:

(10√2)^2 = 10^2 + b^2

200 = 100 + b^2

b^2 = 100

b = 10

Therefore, the exact value of the other leg is 10.

Answer:

5.218

Step-by-step explanation:

5 or more, you add one. Four or less, you change it to zero.

Answer:

The amount of air needed to fill the basketball is approximately 533.16 cubic inches

Step-by-step explanation:

To find the amount of air needed to fill a basketball, we need to first calculate its volume. We can use the formula for the volume of a sphere, which is V = (4/3)πr^3, where π is approximately 3.14 and r is the radius of the sphere.

Since the diameter of the basketball is given, we need to first find the radius by dividing the diameter by 2:

r = 9.45 in / 2 = 4.725 in

Now we can plug in the value of r into the formula for the volume:

V = (4/3)πr^3 = (4/3)π(4.725 in)^3 = 533.16 in^3

Therefore, the amount of air needed to fill the basketball is approximately 533.16 approx cubic inches.

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Answer:

The percent would be 10 Im guessing

Step-by-step explanation:

Hope this helped :)

Answer:

\(x^4+3x^3-2x^2-6x\)

Step-by-step explanation:

0 is a solution of x=0

-3 is a solution of x+3=0

√2 is a solution of x²-2=0

Thus, if these are the factors of the polynomial, then the simplest polynomial function with integer coefficients would be:

\(x(x+3)(x^2-2) = (x^2+3x)(x^2-2) = x^4-2x^2+3x^3-6x=x^4+3x^3-2x^2-6x\)

Answer:$31,500

Step-by-step explanation:

To calculate the total amount Mario will pay, including the loan amount and interest, for the loan from First Bank of Trust, we need to calculate the interest and add it to the loan amount.

The formula to calculate simple interest is:

Interest = (Loan Amount) x (Interest Rate) x (Loan Length)

Let's plug in the values given:

Loan Amount = $25,000

Interest Rate = 6.5% (or 0.065 as a decimal)

Loan Length = 4 years

Interest = $25,000 x 0.065 x 4 = $6,500

Now, let's calculate the total amount Mario will pay:

Total Amount = Loan Amount + Interest = $25,000 + $6,500 = $31,500

Therefore, the total amount Mario will pay, including the loan amount and interest, for the First Bank of Trust loan is $31,500.

Based on the information, we can infer that the longest poster that we can store in the box is one with the following measurements: 0.8ft x 2.2ft x 3ft.

To identify the measurements of the poster that coincide with the measurements of the box, we must see what the measurements of the box are. Once we identify this information, we can know what are the maximum measurements that we could store in that box.

According to the above, the maximum measurements that a poster can have to fit in that box are:

Additionally, we can infer that several 4-foot posters will fit because they can be arranged in a different way that occupy the space widthwise instead of lengthwise.

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Complete Question

The complete question is shown on the first uploaded image

Answer:

The score of the student is  x = 779.42

Step-by-step explanation:

Generally we can mathematically represent the z-score as

         \(z = \frac{x - Mean}{ stDev}\)

Here x is the score of the student

substituting 1045.7 for the Mean, 221.9 for the stDev and -1.2 for z we have  

          \(-1.2 = \frac{x - 1045.7 }{ 221.9}\)

=>       \(-266.28 = x -1045.7\)

=>     x  =  -266.28 + 1045.7

=>     x = 779.42

The student scored 779.42 for him to have a z score of - 1.2;

z score is used to determine by how many standard deviations the raw score is above or below the mean.

The z score is given by:

\(z=\frac{x-\mu}{\sigma/ } \\\\where\ x\ is\ raw\ score,\mu\ is\ mean, \sigma\ is\ standard\ deviation\)

Given that μ = 1045.7, σ = 221.9 Hence for z = -1.2:

\(-1.2=\frac{x-1045.7}{221.9} \\\\x=779.42\)

The student scored 779.42 for him to have a z score of - 1.2;

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The solution to the system is x = -6 and y = 4.

To solve the system by the addition method, we want to add the equations together in a way that will eliminate one of the variables.

Let's start by multiplying the first equation by -3 to get -3x - 9y = -18, and then add the second equation to it:

-3x - 9y = -18

+ 3x + 4y = -2

-------------

    -5y = -20

Now we can solve for y by dividing both sides by -5:

y = 4

We can substitute y=4 into one of the original equations, say x+3y=6, to solve for x:

x + 3(4) = 6

x + 12 = 6

x = -6

So the solution to the system is x = -6 and y = 4.

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Answer:

4.2

Step-by-step explanation:

0.2^(3)-:0.4*60+3.6-:1.2 = 4.2

Answer:

4.2

Step-by-step explanation:

The answer is 54.9

B=tan (98/69) B=54.8513 = 54.9

Answer:

y = 5

Step-by-step explanation:

\(14y-7y=35\\7y=35\\y=5\)

14 minus 7 is 7

7Y is equal to 35

divide both sides by 7 is equal to 5

Answer:

160 degrees

Step-by-step explanation:

Answer:I think it is D

Step-by-step explanation:

Answer:

i need that answer to

Step-by-step explanation:

Answer:

the top on the right.

Step-by-step explanation:

Answer:

The answer is y = 8x + 0

Step-by-step explanation:

I hope that helps. :)

Pls mark me Brainliest.

Answer:

The cafeteria should budget $2.90 on average for one gallon of milk.

Step-by-step explanation:

The cafeteria should budget $ 2.90 on average for one gallon of milk.

Percentage, a comparative figure denoting one hundredth of any quantity. One percent (symbolised as 1%) is equal to one tenth of something; hence, 100 percent denotes the full thing, and 200 percent defines twice the amount that is stated. percentage

Divide one number by the other and multiply the result by 100 to determine the percentage difference between the two values.

Cafeteria purchases 30% of milk from A at cost $3.00 for one gallon.= Calculate 30% of 3.00,

= 3×(30/100)

= 0.9

Cafeteria purchases 10% of milk from B at cost $3.50 for one gallon.

Calculate 10% of 3.50,

= 3.50×(10/100)

= 0.35

And,cafeteria purchases 60% of milk from C at cost $2.75 for one gallon.

Calculate 60% of 2.75,

= 2.75×(60/100)

= 1.65

Average cost for one gallon of milk.

= 0.9 + 0.35 + 1.65

= 2.90

Therefore,the cost for on an average one gallon of milk is $2.90.

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Answer:

d=-30

Step-by-step explanation:

Answer:-30

Step-by-step explanation: To find your answer, we can multiply 5 and -6 to figure out what divided by 5 equals. We then get our answer. -30

Answer:A

Step-by-step explanation:

To find the rate of decay, we need to use the formula A(t) = P(0.82)^t, where A(t) is the amount after t years, P is the initial amount, and 0.82 is the decay factor.

The decay factor is equal to 1 minus the decay rate, so we can solve for the decay rate as follows:

0.82 = 1 - r

r = 1 - 0.82

r = 0.18

Therefore, the rate of decay is 18%, which corresponds to answer choice A.

Answer:

A

Step-by-step explanation:

Answer:

-157

Step-by-step explanation:

Answer:  -162

Hope this helps you

Step-by-step explanation:

subtract and add

Answer:

Rounding to the nearest hundredth, the area of the shaded region is approximately 167.91 square yards.

Step-by-step explanation:

To find the area of the shaded region between two circles with the same center, we need to subtract the area of the smaller circle from the area of the larger circle.

The area of the larger circle is:

A_outer = πr_outer^2

= π(11.9 yd)^2

≈ 445.03 yd^2

The area of the smaller circle is:

A_inner = πr_inner^2

= π(9.4 yd)^2

≈ 277.12 yd^2

Therefore, the area of the shaded region is:

A_shaded = A_outer - A_inner

≈ 445.03 yd^2 - 277.12 yd^2

≈ 167.91 yd^2

Hope this helps! Sorry if it doesn't. If you need more help, ask me! :]

a. Assuming no additional restrictions, there are  800 possible three-digit area codes.

b. Considering ERCs, there are  80 ERCs.

c. For the seven digits after the area code, there are \(8 \times 10^6 = 8,000,000\)  possible seven-digit phone numbers.

d. Assuming only the 0 and 1 restrictions from parts a and c, the number of possible ten-digit phone numbers is 800 \(\times\) 8,000,000 = 6,400,000,000.

a. For three-digit area codes, the first digit cannot be 0 or 1.

Assuming no additional restrictions, there are 8 possibilities for the first digit (2-9) and 10 possibilities for each of the remaining two digits (0-9). Therefore, the total number of three-digit area codes possible under this plan is \(8 \times 10 \times 10 = 800.\)

b. For an ERC (Easily Recognizable Code), the second and third digits of the area code must be the same, and the first digit cannot be 0 or 1. There are 8 possibilities for the first digit (2-9) and 10 possibilities for the third digit (0-9).

Since the second digit must be the same as the third digit, there is only 1 possibility.

Therefore, the total number of ERCs is \(8 \times 1 \times 10 = 80.\)

c. For the seven digits after the area code, the first digit of the three-digit local prefix cannot be 0 or 1.

There are 8 possibilities for the first digit (2-9) and 10 possibilities for each of the remaining six digits (0-9).

Therefore, the total number of seven-digit phone numbers possible is 8 * \(10\times 10 \times 10 \times 10 \times 10 \times 10 = 8,000,000.\)

d. Assuming only the 0 and 1 restrictions from parts a and c, the number of possible ten-digit phone numbers can be calculated by multiplying the number of possibilities for each digit position.

For the area code (part a), there are 800 possibilities.

For the seven digits after the area code (part c), there are 8,000,000 possibilities.

Therefore, the total number of ten-digit phone numbers possible is 800 * 8,000,000 = 6,400,000,000.

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Answer:

6(q + 9)

Step-by-step explanation:

Answer:

sine(∡DAB) = 0.5

Step-by-step explanation:

∡\(ACD=\)∡\(ADB\) = 60°

∡\(DAB=(180-90-60)^{o} =30^{o}\)

\(sin(30^{o})= 0.5\)

Hope this helps