Find the area of a rectangle that measures 3 feet by4 inches give the area. In square inches

Plz give brainliest

ANSWER:

Commutative Property

Answer: -37%

Step by Step Sol: 100=x

10% of 100 equals 10

100-10 = 90

30% of 90 equals 27

90-27 = 63

63-100 equals -37

The temperature decreased by 37% if the temperature changed if; at first it decreased by 10%.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

We have:

The temperature change if; at first, it decreased by 10 % and then decreased by 30%

Let x be the initial temperature

= (100 - 10) = 90%   (first it decreased by 10%)

= 90% of x

= 0.90x

Then decrease by 30 percent,

= 100 - 30 = 70%

= (0 .90x)× 0.70

= 0.63x

The original percentage left 63%

= 100 - 63 = 37

Thus, the temperature decreased by 37% if the temperature changed if; at first it decreased by 10%.

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Answer:

Base rate: $120

Rate: $2 per person

Equation: f(x)=2x+120

Step-by-step explanation:

If 30 people cost $180 and 50 people cost $220, the charge for 20 extra people is $40.  This means, \(\frac{220-180dollars}{50-30people}=\frac{40dollars}{20people}=2\frac{dollars}{person}\).

These values correspond to a base rate for the bus of $120.

The function for the cost per bus with x number of people on it would be:

\(f(x)=2x+100\)

This can be checked by using the values given in the problem:

\(f(30)=2(30)+120=180\\f(50)=2(50)+120=220\)

The base rate of $120 and $2 per person satisfies the given equation and established values.

Answer:

-2

Step-by-step explanation:

When x = -3, y is equal to -2.

There will be approximately $594,311.34 in Nathan's daughter's RESP after 25 years of depositing $940 every 2 months with a 3.99% annual interest rate compounded quarterly.

To calculate the amount in Nathan's daughter's RESP after 25 years, we can use the formula for compound interest:

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

Where:

A = Final amount (amount in the account after 25 years)

P = Principal amount (amount deposited every 2 months)

r = Annual interest rate (in decimal form)

n = Number of times the interest is compounded per year

t = Number of years

In this case, Nathan deposits $940 every 2 months, so the principal amount (P) is $940. The annual interest rate (r) is 3.99% or 0.0399 in decimal form. Since the interest is compounded quarterly, the compounding frequency (n) is 4. The number of years (t) is 25.

Since Nathan deposits every 2 months, we need to calculate the total number of deposits made over 25 years. There are 12 months in a year, so in 25 years, there will be 25 * 12 = 300 months. However, since Nathan deposits every 2 months, the number of deposits (m) is 300 / 2 = 150.

Now, we can substitute these values into the formula:

A = 940(1 + 0.0399/4)^(4*25)

Calculating the exponent first:

(1 + 0.0399/4)^(4*25) ≈ 2.703236

Now, substituting the calculated exponent and the number of deposits into the formula:

A = 940 * 2.703236 * 150 ≈ $594,311.34

Therefore, there will be approximately $594,311.34 in Nathan's daughter's RESP after 25 years of depositing $940 every 2 months with a 3.99% annual interest rate compounded quarterly.

It's important to note that this calculation assumes Nathan makes the same $940 deposit every 2 months consistently over the 25-year period and does not make any withdrawals from the account during that time. Additionally, the actual amount may vary slightly due to rounding and any potential changes in interest rates over the years.

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Answer:

-27 ?

Step-by-step explanation:

^that's if ur multiplying

Answer:

131

Step-by-step explanation:

Sorry but I am not conform to this answer

Answer:

E, and A

Step-by-step explanation:

If you divide 14/6 with 2's you get 7/3 and if you multiply 14/6 with 9 you get 126/54

The area of the shaded portion in the equilateral triangle with sides 6 is 9√3 - 36π.

To find the area of the shaded portion in the equilateral triangle, we need to determine the area of the three arcs and subtract it from the area of the equilateral triangle.

First, let's find the area of one arc. Each arc has a radius equal to the length of the side of the equilateral triangle, which is 6. The formula for the area of a sector is A = (θ/360)πr², where θ is the central angle in degrees.

In an equilateral triangle, each interior angle measures 60 degrees, so the central angle of the arc is 120 degrees (360 degrees divided by 3). Plugging these values into the formula, we get A_arc = (120/360)π(6)² = (1/3)π(6)² = 12π.

Since there are three identical arcs, the total area of the arcs is 3 times the area of one arc, which is 3(12π) = 36π.

Now, let's find the area of the equilateral triangle. The formula for the area of an equilateral triangle is A_triangle = (√3/4)s², where s is the length of a side.

Plugging in the value of the side length, we have A_triangle = (√3/4)(6)² = (√3/4)(36) = 9√3.

Finally, we subtract the area of the arcs from the area of the equilateral triangle to find the shaded portion's area: A_shaded = A_triangle - A_arc = 9√3 - 36π.

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When x = 13, the equation that is true is option D) 5(x - 9) = 20.

To determine which equation is true when x = 13, we can substitute the value of x into each equation and see which equation holds true. Let's go through each option:

A) 3(18 - x) = 67

Substituting x = 13:

3(18 - 13) = 67

3(5) = 67

15 = 67

The equation is not true when x = 13. Therefore, option A is false.

B) 4(9x) = 23

Substituting x = 13:

4(9*13) = 23

4(117) = 23

468 = 23

Again, the equation is not true when x = 13. Therefore, option B is also false.

C) 2(x - 3) = 7

Substituting x = 13:

2(13 - 3) = 7

2(10) = 7

20 = 7

Once again, the equation is not true when x = 13. Therefore, option C is false as well.

D) 5(x - 9) = 20

Substituting x = 13:

5(13 - 9) = 20

5(4) = 20

20 = 20

Finally, the equation is true when x = 13. Therefore, option D is true.

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Note: the translated questions is

X = 13, which equation is true?

The percentage of daily high temperatures between 505 °C and 535 °C according to the model is of:

5.22%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation of the temperatures in this problem are given as follows:

\(\mu = 465, \sigma = 25\)

The proportion of days with temperatures in the desired range is obtained with the subtraction of the p-value of Z when X = 535 by the p-value of Z when X = 505, hence:

X = 535:

Z = (535 - 465)/25

Z = 2.8

Z = 2.8 has a p-value of 0.9974

X = 505:

Z = (505 - 465)/25

Z = 1.6

Z = 1.6 has a p-value of 0.9452

0.9974 - 0.9452 = 0.0522, hence the percentage is of:

5.22%.

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Answer:

The area of the rectangle is increasing at a rate of 54 cm2/s.

Step-by-step explanation:

Answer:

Samantha will be charged an interest rate of 8.6% on her loan.

Step-by-step explanation:

The bank approved George's loan application at 5.6% interest, so the loan amount Samantha was approved for will also be charged at a percentage that is 3 percentage points higher than 5.6%.

Let's call the interest rate Samantha will be charged "x". Then we can write an equation based on the given information:

x = 5.6% + 3%

Simplifying the right-hand side:

x = 0.056 + 0.03

x = 0.086

Therefore, Samantha will be charged an interest rate of 8.6% on her loan.

Part 1

\(D \cup E\) denotes the union of the two sets (in other words, all the elements in both sets).

This means it is \((-\infty, 4) \cup [7, \infty)\)

Part 2

\(D \cap E\) denotes the elements shared between both sets.

This means the answer is \((4, 7]\)

Answer:

Amadi: 20 years old

Chima : 4 years old

For X ≤ 15, n = 20, π = .70 ; compound event probability is approximately 0.0008 .

For X > 8, n = 11, π = .65 ; compound event probability is  approximately 0.9198.

For X ≤ 1, n = 13, π = .40 ; compound event probability is  approximately 0.6646 .

a. To calculate the probability of the event X ≤ 15, n = 20, π = .70, we will use the binomial distribution formula:

P(X ≤ 15)

=  ∑_(k=0)¹⁵〖(20Ck)(0.70)^k (0.30)^(20-k) 〗

Using a binomial distribution calculator, we can find this probability to be approximately 0.0008 (rounded to 4 decimal places).

b. To calculate the probability of the event X > 8, n = 11, π = .65, we will first find the probability of X ≤ 8, and then subtract this value from 1 to find the complement probability:

P(X > 8) = 1 - P(X ≤ 8)

= 1 - ∑_(k=0)⁸〖(11Ck)(0.65)^k (0.35)^(11-k)〗

Using a binomial distribution calculator, we can find the probability of X ≤ 8 to be approximately 0.0802.

Therefore, the probability of X > 8 is approximately 0.9198 (rounded to 4 decimal places).

c. To calculate the probability of the event X ≤ 1, n = 13, π = .40, we will use the binomial distribution formula:

P(X ≤ 1)

= ∑_(k=0)¹〖(13Ck)(0.40)^k (0.60)^(13-k)〗

Using a binomial distribution calculator, we can find this probability to be approximately 0.6646 (rounded to 4 decimal places).

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Given:

Selling price of a machine = 7000/-

Gross loss = 20%.

To find:

The cost and gross loss.

Solution:

Let x be the cost of machine.

According to the question,

\(x-20\%\text{ of }x=7000\)

\(x-\dfrac{20}{100}x=7000\)

\(x-0.2x=7000\)

\(0.8x=7000\)

Divide both sides by 0.8.

\(x=\dfrac{7000}{0.8}\)

\(x=8750\)

So, the cost of the machine is 8750/-.

Now,

\(\text{Gross Loss}=\text{Cost}-\text{Selling price}\)

\(\text{Gross Loss}=8750-7000\)

\(\text{Gross Loss}=1750\)

Therefore, the gross loss is 1750/-.

Answer:

6) 130

7) x = 35

8) y = 100

9) 50

10) 130

11) DEF = 29

12) FEG = 61

13) DEF = 91

14) FEG = 89

Step-by-step explanation:

angle AEB is 50°

supplementary is when 2 angles add together to make 180°

50 + x = 180

x = 180 - 50

x = 130

angles AEB and DEC are vertical angles

vertical angles are equal.

50 = x + 15

50 - 15 = x

35 = x

AEB and AED are supplementary angles

supplementary angles add together to make 180

50 + (y + 30) = 180

y + 30 = 180 - 50

y + 30 = 130

y = 130 - 30

y = 100

DEC is vertical to AEB

vertical angles are equal.

AEB = 50

DEC = 50

AED = y + 30

as established earlier, y = 100

substitute Y for 100

AED = 100 + 30

AED = 130

DEF and FEG are complimentary.

complimentary means they add together to make 90

(3x - 4 ) + (5x + 6 ) = 90

3x - 4 + 5x + 6 = 90

8x + 2 = 90

8x = 90 - 2

8x = 88

x = 88/8

x = 11

substitute x into the equations

DEF = 3x - 4

DEF = 33 - 4

DEF = 29

FEG = 5x + 6

FEG = 55 + 6

FEG = 61

DEF and FEG are supplementary.

supplementary means they add together to make 180

(9x + 1) + (8x + 9) = 180

9x + 8x + 1 + 9 = 180

17x + 10 = 180

17x = 170

x = 10

substitute x into the equations

DEF =  9x + 1

DEF = 90 + 1

DEF = 91

FEG = 8x + 9

FEG = 80 + 9

FEG = 89

Answer:

$12

Step-by-step explanation:

50% is half off of something, which in this case would be the $24, so you would just take half off the 24. So you could divide it by 2 which would be 12.

If f(x) = g(x)

Then :

(x-4)/(x²+1) = (x² - 4) / (x²+ 1)

We can simplify on both sides by x² + 1 :

x - 4 = x² - 4

x = x²

x - x² = 0

x(1-x) = 0

So either x = 0, or x = 1

S = {0,1}

Good Luck

Answer:

Step-by-step explanation:

( x , y )

( 0 , - 4 )

( 1 , - 1.5 )

\(y_{1}\) = - 4

\(y_{2}\) = - 1.5

Mia's total accounts receiving is $1,50,000.

Given :

receivables dues paid by customers = $90,000

Let Mia's total accounts receiving be $ x.

According to the question,

⇒ 60% of x = 90,000

⇒ \(\frac{60}{100} x\) = 90,000

⇒ x = (90,000×100) /60

       = 1,50,000

Therefore, Mia's total accounts receiving is $1,50,000.

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Answer:

7 min 48 sec / mile

Step-by-step explanation:

51 min ÷ 7 miles = 7.2857142857142

Rounds to 7

Answer:

8:15:30

Step-by-step explanation:

8:15:30 a.m hope I helped ;)

Answer: y = 12.6

Step-by-step explanation:

Since x = 2 and y = 6.3 * x, y = 6.3 * 2.

6.3 * 2 is equal to 12.6, so y is 12.6.

Answer:

y = 12.6

Step-by-step explanation:

y = 6.3x                     x = 2

Solve for y.

y = 6.3(2)

y = 12.6

So, the answer is 12.6

Answer:

Slope is -1

or

Slope is -x

Step-by-step explanation:

Rise(up or down) 1 and Run(right or left) 2. You are going to go up 1 and left 1. So that means 1÷-1=-1

Answer:

Number of bats ordered = 24

Number of balls ordered = 76

Step-by-step explanation:

Let,

x be the number of bats ordered

y be the number of balls ordered

According to given statement;

x+y = 100       Eqn 1

20x+4.50y = 822     Eqn 2

Multiplying Eqn 1 by 20

20(x+y=100)

20x+20y=2000     Eqn 3

Subtracting Eqn 2 from Eqn 3

(20x+20y)-(20x+4.50y)=2000-822

20x+20y-20x-4.50y=1178

15.50y = 1178

Dividing both sides by 15.50

\(\frac{15.50y}{15.50}=\frac{1178}{15.50}\\y=76\)

Putting y=76 in Eqn 1

x+76 = 100

x= 100-76

x = 24

Hence,

Number of bats ordered = 24

Number of balls ordered = 76

Answer:

Step-by-step explanation:

-4x-3=y

Divisor is an integer, not equal to zero.

A divisor is a number that divides another number either outright or with a remainder. The divisor is represented in the division formula as follows:

Dividend ÷ divisor = quotient.

A divisor is any number that divides another number.

A factor is a divisor but all divisors are not factors.

Given expression,

33 + 63 - 222 - 4

= 96 - -226

= - 130

The dividend is an integer, divisor can be any integer except 0.

Hence, divisor can be any integer except 0.

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The least certain measurement determines the certainty of the answer.

What guidelines apply when rounding sig figs?

(1) The final digit that is preserved is raised by one if the digit to be eliminated is greater than 5. As an illustration, 12.6 is rounded to 13.

                                      (2) The last digit that remains is left alone if the digit to be dropped is less than 5. As an illustration, 12.4 is rounded to 12.

Which of the following statements best describes the significant figures rule?

Use the following 3 principles to calculate how many significant figures are present in a number: The significance of non-zero digits is constant.

                                   A significant zero is one that comes in between two significant digits. ONLY the decimal part has any significance when there is a final zero or trailing zeros.

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