the perimeter of a rectangle is 92. the length is (2x+3) and the width is (x+7) . find x

The amount received from loans as a number in millions is 242,700 million rand.

Deducing value A requires computation of collective income sources, for which the following summation suffices:

Total Income = Tax + Loans + ASC + QP + Other income + Non-tax income = 1370 + 242.7 + 180.3 + 31.5 + A + 0 = 1825.5 + A

In this context, it follows that A amounts to (1825.5 - 1370 - 242.7 - 180.3 - 31.5) = 0 million rand.

Conversely determining missing value B necessitates subtraction of total expenditure from accumulated revenue, giving rise to the subsequent formula:

Total Income - Total Expenditure = B

(1825.5 - 112.7 - 278.4 - 262.4 - 222.6 - 211.0 - 209.2 - 208.5 - 202.2 - 0) = B

Following calculation, B equates to -77.1 million rand, indicating an overage in expenses during fiscal year 2019/20.

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The value of x is 50 and FTD = 130°

Both of the angles in the diagram must have the same measure because are vertical, then:

3x - 20 = 2x + 30

3x - 2x = 30 + 20

x = 50

That is the value of x.

And we can see that FTD = 2x + 30 = 2*50  + 30 = 130

That is the measure.

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Answer:

what is the question?

Step-by-step explanation:

i dont see it hehe

Answer:

What’s the point of teh question may be tell us what you need help with....?

Step-by-step explanation:

The first equation is incorrect.

The second equation is correct.

The third equation is correct.

Let's go through each equation and determine whether it is correct or incorrect:

(b²+7b-9)+(4b-6b²) = -8b² + 14b-9

To determine if this equation is correct, we need to simplify both sides and check if they are equal.

On the left side:

(b²+7b-9)+(4b-6b²) = b² - 6b² + 7b + 4b - 9 = -5b² + 11b - 9

On the right side:

-8b² + 14b - 9

Comparing both sides, we can see that -5b² + 11b - 9 is not equal to -8b² + 14b - 9. Therefore, the equation is incorrect.

(4a+6)-(3a²-9a+1)=-3a²+ 13a +5

Again, we need to simplify both sides of the equation and check if they are equal.

On the left side:

(4a+6)-(3a²-9a+1) = 4a + 6 - 3a² + 9a - 1 = -3a² + 13a + 5

On the right side:

-3a² + 13a + 5

Comparing both sides, we can see that -3a² + 13a + 5 is equal to -3a² + 13a + 5. Therefore, the equation is correct.

(12c-8c²)+(5c²- 10c) = -3c²+2c

Again, let's simplify both sides and compare them.

On the left side:

(12c-8c²)+(5c²- 10c) = 12c - 8c² + 5c² - 10c = -3c² + 2c

On the right side:

-3c² + 2c

Comparing both sides, we can see that -3c² + 2c is equal to -3c² + 2c. Therefore, the equation is correct.

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Answer:

Step-by-step explanation:

put C=13,700 and find m

The number of miles that will yield an annual operating cost of $13,700 is approximately 30,000 miles.

To find the number of miles that will yield an annual operating cost of $13,700, we need to solve the given equation for \(m\):

\[C = 0.37m + 2600\]

Given \(C = 13700\), we can substitute this value into the equation and solve for \(m\):

\[13700 = 0.37m + 2600\]

Subtract 2600 from both sides:

\[11100 = 0.37m\]

Now, divide both sides by 0.37:

\[m = \frac{11100}{0.37}\]

Calculate the value of \(m\):

\[m \approx 30000\]

So, the number of miles that will yield an annual operating cost of $13,700 is approximately 30,000 miles.

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To write the given equation in logarithmic form, we can use the definition of logarithms. The equation 10^m = w can be rewritten as a logarithm with base 10: log10(w) = m

The general relationship between exponents and logarithms is as follows:

base^(exponent) = result

In logarithmic form, it's written as:

log_base(result) = exponent

For our given equation, 10^m = w, we have:

base = 10

exponent = m

result = w

Applying the general logarithmic relationship, we write:

log10(w) = m

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Answer:

A) - 3/7

B) -1/5

C) - 0.4

Step-by-step explanation:

HOPE IT CAN HELP YOU LOVELOTS

The constant of proportionality of the relationship between the two dyes is 3/8

What is variation?

Variation is a concept that deals with variability or change in mathematics. Variation is defined as any change in some quantity due to a change in another

Given that: For every 8tps of purple dye, 3tps of pink dye is added

Let P and K represent purple and pink dye respectively

Since K changes with P, We can write it mathematically as:

K = CP

Where C is the constant of proportionality

Given P = 8 and K = 3. Thus:

K = CP

C = K/P

C = 3/8

So the constant of proportionality is 3/8

Therefore, the constant of proportionality for purple dye to pink dye is 3/8. So the fourth option is the answer

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Answer:

Let \(u=3x^2-3x\)

Solution: \(\frac{1}{6} \sqrt{3x^2-3x}+C\)

Step-by-step explanation:

See attached for step-by-step

The values of m and c are m = 1 and c = 5.

The function f(x) is given by: f(x) = x + 5

To find the values of m and c in the function f(x) = mx + c, we can use the given information that f(0) = 5 and f(1) = 6.

Let's substitute x = 0 into the function:

f(0) = m(0) + c = 0 + c = c

We know that f(0) = 5, so c = 5.

Now let's substitute x = 1 into the function:

f(1) = m(1) + c = m + c = m + 5 = 6

Subtracting 5 from both sides, we have:

m + 5 - 5 = 6 - 5

m = 1

Therefore, the values of m and c are m = 1 and c = 5.

The function f(x) is given by:

f(x) = mx + c

f(x) = 1x + 5

f(x) = x + 5

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The two options do not have the same discount, and we know this because the total cost is different for both options.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
To determine if the discount for buying 20 pairs of jeans at 5% off is the same as getting one free pair when buying 19 pairs of jeans, we can compare the total cost of each option.

For the first option, Caitlin buys 20 pairs of jeans at j dollars each with a 5% discount. The total cost would be:

total cost = 20j - 0.05(20j)

total cost = 20j - j

total cost = 19j

For the second option, Caitlin buys 19 pairs of jeans at 5% discount,

total cost = 19j - 0.05(19j)

total cost = 18.05j

Therefore, the two options do not have the same discount, and we know this because the total cost is different for both options.

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Answer:

2/3

Step-by-step explanation:

2 (−2/3) (1/2) + 3 (−2/3)^2

= −4/3 (1/2) + 3 (−2/3)^2

= −2/3 + 3 (−2/3)^2

= −2/3 + 3 (4/9)

= −2/3 + 4/3

= 2/3

A 90% confidence interval for the true proportion of all adults in the town who have health insurance is 0.582 < p < 0.744

The formula for calculating the confidence interval is expressed as;

\(CI=p \pm z \cdot\sqrt{\frac{P(1-p)}{n} }\)

Substitute the given parameters into the formula to have:

\(CI=0.66 \pm 1.645 \cdot\sqrt{\frac{0.66(1-0.66)}{92} }\\CI=0.66 \pm 1.645 \cdot\sqrt{\frac{0.66(0.34)}{92} }\\CI =0.66\pm 1.645(0.0495)\\CI=0.66 \pm 0.0814\\CI = (0.582, 0.744)\)

Hence a 90% confidence interval for the true proportion of all adults in the town who have health insurance is 0.582 < p < 0.744

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\(\implies {\blue {\boxed {\boxed {\purple {\sf {Your\:answer\:is\:59.}}}}}}\)

\(\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}\)

1. My number has two digits.

2. Double my number is less than 150.

3. I am not divisible by 12.

4. My digits are different from each other.

5. The second digit in my number is divisible by an odd number.

6. My first digit is less than my second digit.

7. My digits add up to 14.

Therefore, the required number is \(\sf\pink{59}\).

\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}\)

Answer:

59

Step-by-step explanation:

two digits, 59=118, unable to divide by twelve since its an odd number, 9÷3=3, 5<9, 5+9=14

Answer:

The answer is 49

Step-by-step explanation:

We can use proportions to estimate the number of dogs in the entire population that have the disease, based on the sample of dogs with the disease.

We know that 42 dogs were selected for the study, and 14 of them had the disease. This means that the proportion of dogs in the sample with the disease is:

14/42 = 0.3333

We can use this proportion to estimate the number of dogs in the entire population that have the disease, by multiplying it by the total number of dogs:

0.3333 * 147 = 49

Therefore, the best estimate for the number of dogs that suffer from the disease is 49.

Answer:

A

Step-by-step explanation:

I honestly guessed,but i just took the test and got it right.

Answer:

-2x^3y^5

Step-by-step explanation:

Answer:

Graph B

Step-by-step explanation:

See attachment.

To shift vertically down by 3, add -3 to f(x).  f(x) = x^3 - 3

Graph B matches this behavior.

Answer:

0.75 or 3/4

Step-by-step explanation:

The sum of 1/2 and 1/2 is 1. (1/2 + 1/2 = 1)

The product of 1/2 and 1/2 is (1*1)/(2*2) = 1/4.

If you subtract 1/4 from 1, you get 3/4.

The difference between the sum of 1/2 and 1/2 and the product of 1/2 and 1/2 will be 3/4.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The difference between the sum of 1/2 and 1/2 and the product of 1/2 and 1/2 will be given as,

⇒ (1/2 + 1/2) - [(1/2)(1/2)]

⇒ 1 - 1 / 4

⇒ (4 - 1) / 4

⇒ 3 / 4

The difference between the sum of 1/2 and 1/2 and the product of 1/2 and 1/2 will be 3/4.

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The correct answers are 1st and 4th i.e translate 2 units down and reflect the triangle.

We can easily deduce that the triangle A'B'C' is 2 units higher than the triangle ABC so if we want to map the both the triangles we have to make the triangle A'B'C' lower in the graph.

So, both the 1st and 4th points translate and reflect down the triangle A'B'C'  which will be mapped according to the triangle ABC.

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The value of x is 60.

We can use the fact that the opposite angles of a parallelogram are equal to find the value of x. Angle BCD is therefore equal to angle ABD, and angle CBD is equal to angle CAD.

Based on the given angles, we can construct two equations:

Angle ABD + angle CBD = 100 (because angle BCD = angle ABD) Angle ABD + angle ACD = 80 (because angle CAD = angle CBD)

When we substitute the given values, we get:

x + 40 = 100 x + 20 = 80

When we solve for x in both equations, we get:

x = 60 x = 60.

We can be confident that our answer is correct because both equations give us the same value for x. As a result, the value of x is 60.

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The amount of Duane's first payment that goes to interest is approximately $26.47.

To determine the amount of Duane's first payment that goes to interest, we need to use the amortization formula for a loan.

The formula to calculate the interest portion of a loan payment is:

Interest = Remaining Balance * Monthly Interest Rate.

Let's calculate the interest for the first payment using the given information:

Loan Amount = $5,000.00

Monthly Payment = $118.57

First, we need to calculate the monthly interest rate:

Monthly Interest Rate = Annual Interest Rate / 12

= 6.5% / 12

= 0.00542

Next, we need to calculate the remaining balance after the first payment:

Remaining Balance = Loan Amount - Principal Paid

= $5,000.00 - $118.57

= $4,881.43

Finally, we can calculate the interest portion of the first payment:

Interest = Remaining Balance * Monthly Interest Rate

= $4,881.43 * 0.00542

= $26.47

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The probability that the student guesses 3 question correctly is 0.234 and the probability that the student guess more than one correctly is 0.7.

Using the property of binomial distribution we can calculate that the probability that a answer is correct is 0.25

As there are 4 options , hence we will see that probability that an option picked is correct is 1/4 = 0.25  

Now we have to find the probability for 3 answers to be correct .

We will use the formula

\(P(X=x) = \frac{n!} {x! (n - x)!} \cdot p^x \cdot (1 - p)^{n - x}\)

Now putting the values of x = 3 and the value of p = 0.25 we get

P(X = 3) = 0.234

therefore the value of P(3) = 0.234

Now we have to find the value of P(x>1)

Using the same formula we calculate the occurrence of the event

P(x>1)=1-P(x≤1)

or, P(x>1) = 0.7

Hence the required probability is 0.7.

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Answer:

Distance = 110.5 cm

Step-by-step explanation:

It is given that,

The basement floor is at  an elevation of −10.5 feet

The second story floor has an  elevation of 121 feet.

We need to find the distance between the basement floor and the second story floor.

Distance = -10.5 + 121

= 110.5 feet

So, the distance between the basement floor and the second story floor is 110.5 cm.

The axiom of regularity is a set theory principle which states that every non-empty set C contains an element that is disjoint from C.

The set theory concept rules that for every non-empty set C there is an element x of C such that x does not intersect C. The regularity axiom aims to establish that no non-empty set will have itself as an element.

The principle which is also called the axiom of foundation is a fundamental concept in set theory and credited to Zermelo–Fraenkel.

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let's see and observe

\(\\ \rm\rightarrowtail y=ax^2+bx+c\)

\(\\ \rm\rightarrowtail y=0x^2+bx+c\)

\(\\ \rm\rightarrowtail y=bx+c\)

So

a must be not equal to 0

Answer:

A quadratic equation is a polynomial equation whose highest degree is two.

If we substitute \(a=0\) into the standard form of a quadratic equation \(y=ax^2+bx+c\) then we eliminate the variable with degree 2.  This means it is no longer a quadratic equation and has become a linear equation, since a linear equation is an equation in which the highest degree is one.

Proving algebraically

Substitute \(a=0\) into \(y=ax^2+bx+c\):

\(\implies y=(0)x^2+bx+c\)

\(\implies y=bx+c\)