7x-130=110+9x. show with steps

Answer

12 minutes

Step-by-step explanation: -5400 meters divided by -450 meters per minute = 12 minutes

Answer: i) We can use the present value of an annuity formula to determine how much Mr. Kyeremeh needs to deposit today:

PV = A * [(1 - (1 + r)^-n)/r]

Where PV is the present value, A is the annual payment, r is the effective annual interest rate, and n is the number of periods.

In this case, A = $1000, r = 3.5%, and n = 10. We can substitute these values into the formula to get:

PV = $1000 * [(1 - (1 + 0.035)^-10)/0.035] ≈ $8,578.32

Therefore, Mr. Kyeremeh needs to deposit approximately $8,578.32 today to provide his daughter with $1000 a year for ten years, assuming a 3.5% effective annual interest rate.

ii) If the daughter saves the income from her father in an account also paying 3.5% effective annual interest, then the future value of the ten payments would be:

FV = A * [(1 + r)^n - 1]/r

Where FV is the future value, A is the annual payment, r is the effective annual interest rate, and n is the number of periods.

In this case, A = $1000, r = 3.5%, and n = 10. We can substitute these values into the formula to get:

FV = $1000 * [(1 + 0.035)^10 - 1]/0.035 ≈ $12,365.86

Therefore, if the daughter saves the income from her father in an account also paying 3.5% effective annual interest, she will have approximately $12,365.86 when she receives the final $1000 payment.

b) After three years, Kofi will have:

FV = P * (1 + r/n)^(n*t)

Where FV is the future value, P is the principal, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.

In this case, P = $1000, r = 4%, n = 4 (since interest is compounded quarterly), and t = 3. We can substitute these values into the formula to get:

FV = $1000 * (1 + 0.04/4)^(4*3) = $1,343.92

After six years, Kofi will have:

FV = $1,343.92 + $1000 = $2,343.92

Now, we need to find the amount that Ama needs to deposit into her account such that after five years, she will have the same amount as Kofi.

Let X be the amount that Ama deposits. Then after five years, Ama will have:

FV = X * e^(∫0^5 1/6+t dt)

Where FV is the future value and e is the exponential function.

Simplifying the integral, we have:

FV = X * e^(ln(2)) = 2X

Therefore, we need to solve the equation:

2X = $2,343.92

X = $1,171.96

Therefore, Ama needs to deposit approximately $1,171.96 into her account to have the same amount as Kofi after five years.

Answer:

\(\frac{1}{2}(4x+6)+3x=7x+9\)

\(\frac{1}{2}(4x+8)+3x=7x+9\)

Step-by-step explanation:

By putting the numbers in the given equation,

\(\frac{1}{2}(4x+6)+3x=7x+9\)

2x + 3 + 3x = 7x + 9

5x + 3 = 7x + 9

(5x + 3) - 7x = (7x + 9) - 7x

(5x - 7x) + 3 = 9

-2x + 3 = 9

(-2x + 3) - 3 = 9 - 3

-2x = 6

\(-\frac{2x}{2}=\frac{6}{2}\)

-x = 3

x = -3

Therefore, our equation is correct which has a negative result.

In place of 6 if we use 8, value of x will be negative again.

Answer:

well it looks like for every 5 salt there are 15 tomatoes so that is what im guessing

Step-by-step explanation:

Answer:

54% of 74 is 39.96.

Step-by-step explanation:

divide 74 by 100, then multiply the answer by 54.

Answer:

6 × 10^9

Step-by-step explanation:

( 2 × 10^5 ) × ( 3 × 10^4 )

Rearrange.

2 × 3 × 10^5 × 10^4

Multiply and apply the law of exponents.

6 × 10^(5+4)

6 × 10^9

Hello, I'd like to answer your question. So first, you write an equation for this question:

Equation: (2×10^5)×(3×10^4)

(2×10^5)×(3×10^4), then here are the steps:

Always use the Order of Operation.

() - Parenthesis

^x - Exponents

×/÷ - Multiplication/Division

+/- - Addition/Subtraction

So, in the parenthesis, there is an exponent. We solve that first.

10^5=100,000

10^4=10,000

Now, multiply these two.

(2×100,000)=200,000

(3x10,000)=30,000

Now, the answer is:

200,000×30,000=6000000000

Thus, we can write it simplified.

6×10^9 is the answer.

Using proportions, it is found that she must sell each necklace for at least $5.80 in order to make a profit of at least $250.

A proportion is a fraction of a total amount

In this problem, it costs her $40 to make 50 necklaces. She wants a profit of at least $250, hence the 50 necklaces should sell for at least $250 + $40 = $290.

Hence, the minimum price for each one is given by:

$290/50 = $5.80.

She must sell each necklace for at least $5.80 in order to make a profit of at least $250.

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Answer:

Look at brainly questions that are your learning about, try to figure them out then look at the answer.

Step-by-step explanation:

Answer:

What do you need help in?

Also you can search some of the questions up and see if they have an explanation or just contact your teacher for help

a) There are 399 terms in the sequence 1, 3, 3², 3³, ..., 3³⁹⁹.

b) There are 89 terms in the sequence 11, 14, 17, 20, ..., 275.

c)  There are 501 terms in the sequence 51, 52, 53, 54, ..., 551.

(a) In the sequence 1, 3, 3², 3³, ..., 3³⁹⁹, the terms follow a pattern where each term is the previous term multiplied by 3. The pattern is:

1, 3, 3², 3³, ..., 3³⁹⁹

To find the number of terms in this sequence, we need to determine the exponent of 3 that corresponds to the last term.

We can set up the equation:

3^n = 3³⁹⁹

Taking the logarithm base 3 of both sides:

n = log₃(3³⁹⁹)

Using the logarithmic property logₐ(b^c) = c * logₐ(b):

n = 399 * log₃(3)

Since logₓ(x) = 1 for any base x:

n = 399 * 1

n = 399

Therefore, there are 399 terms in the sequence 1, 3, 3², 3³, ..., 3³⁹⁹.

(b) In the sequence 11, 14, 17, 20, ..., 275, the terms follow an arithmetic progression where each term is obtained by adding 3 to the previous term. The pattern is:

11, 14, 17, 20, ..., 275

To find the number of terms in this sequence, we can calculate the common difference (d) and use the arithmetic progression formula:

aₙ = a₁ + (n - 1) * d

where aₙ represents the nth term, a₁ represents the first term, n represents the number of terms, and d represents the common difference.

The first term, a₁, is 11, and the common difference, d, is 3.

The last term, aₙ, is 275.

Using the arithmetic progression formula:

275 = 11 + (n - 1) * 3

Subtracting 11 from both sides:

264 = (n - 1) * 3

Dividing both sides by 3:

88 = n - 1

Adding 1 to both sides:

n = 89

Therefore, there are 89 terms in the sequence 11, 14, 17, 20, ..., 275.

(c) In the sequence 51, 52, 53, 54, ..., 551, the terms follow an arithmetic progression where each term is obtained by adding 1 to the previous term. The pattern is:

51, 52, 53, 54, ..., 551

To find the number of terms in this sequence, we can calculate the common difference (d) and use the arithmetic progression formula:

aₙ = a₁ + (n - 1) * d

where aₙ represents the nth term, a₁ represents the first term, n represents the number of terms, and d represents the common difference.

The first term, a₁, is 51, and the common difference, d, is 1.

The last term, aₙ, is 551.

Using the arithmetic progression formula:

551 = 51 + (n - 1) * 1

Subtracting 51 from both sides:

500 = (n - 1) * 1

Dividing both sides by 1:

500 = n - 1

Adding 1 to both sides:

n = 501

Therefore, there are 501 terms in the sequence 51, 52, 53, 54, ..., 551.

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Answer:

The domain would include all the real values except \(x = 2\) and the x for which \(v(x) = 0\).

Hence, the restrictions would be:

and

Step-by-step explanation:

Given

The domain of u(x) is the set of all real values except 0.

so

domain = (-∞, 0) U (0, ∞)

The domain of v(x) is the set of all real values except 2.

so

domain = (-∞, 2) U (2, ∞)

For the function composed function (u circle v) (x), we need to apply first the function \(v(x)\)  whose argument is (x), and then the function \(u (v(x) )\) whose argument is \(v(x)\).

Please note that the domain of the composed function (u circle v) (x) must have to take into account the values for which both functions u(x) and v(x) are defined.

Therefore, the domain would include all the real values except \(x = 2\) and the x for which \(v(x) = 0\).

Hence, the restrictions would be:

and

Answer:

c

Step-by-step explanation:

edge 2020

So the probability that a randomly selected contestant is wearing tennis shoes given that the contestant is under 18 is 8/21.

To find the probability that a randomly selected contestant is wearing tennis shoes given that the contestant is under 18, we need to use conditional probability.

Let A be the event that the contestant is wearing tennis shoes and B be the event that the contestant is under 18. We want to find P(A|B), which is the probability of A given B.

From the table, we see that there are 21 contestants under 18 and out of those, 8 are wearing tennis shoes. So:

P(A|B) = P(A and B) / P(B)

P(A and B) = 8 (number of contestants who are under 18 and wearing tennis shoes)

P(B) = 21 (number of contestants who are under 18)

Therefore,

P(A|B) = 8/21

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Complete question:

ormalik entered his sister into their town's smelly shoe competition. malik observed contestants of all ages proudly strutting around wearing different kinds of smelly shoes.

tennis shoes high heels under 182118 or older 52.

what is the probability that a randomly selected contestant is wearing tennis shoes given that the contestant is under 18?

Given:

For the kiddie teacup ride at a carnival a person needs to be over 36 inches and at most 60 inches tall.

To find:

The inequality that describes all the heights that are eligible to ride.

Solution:

Let h represents the heights that are eligible to ride.

For the kiddie teacup ride at a carnival a person needs to be over 36 inches. It means, height should be greater than 36 inches.

\(h>36\)       ...(i)

For the kiddie teacup ride at a carnival a person needs to be at most 60 inches tall.

\(h\leq 60\)       ...(ii)

Using (i) and (ii), we get

\(36<h\leq 60\)

Therefore, the required inequality is \(36<h\leq 60\).

The mean of a uniform distribution is the average of the minimum and maximum values. Therefore, the mean of the distribution is:

(mean + maximum) / 2 = (95 + 125) / 2 = 110

So the mean time to fly between New York City and Chicago is 110 minutes.

\(\boldsymbol{14}\) even integers lie between \(\boldsymbol{\frac{-20}{3},\frac{37}{5}}\)



Integers are whole numbers including negative of whole numbers.

Integers divisible by \(\boldsymbol{2}\) are known as even integers.

\(\frac{-20}{3}=-6.67\\ \frac{37}{5}=7.4\)

Even integers that lie between \(\frac{-20}{3},\frac{37}{5}\) are \(-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7\)

So, \(\boldsymbol{14}\) even integers lie between \(\frac{-20}{3},\frac{37}{5}\)

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Answer:

boi we cany even see the questio  with yp andriod ahh camera

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

The correct solution:

The mistake was:

The simplified expression is [-8b + 20] / [(b + 4)(b - 2)(b - 4)], with the restrictions that b ≠ -4, 2, 4.

The expression (b - 4) / (b² + 2b - 8) - (b + 2) / (b² - 16) can be simplified with certain restrictions on the variables.

To simplify this expression, we can start by factoring the denominators of each fraction:

b² + 2b - 8 can be factored as (b + 4)(b - 2), and

b² - 16 can be factored as (b + 4)(b - 4).

Now we can rewrite the expression:

(b - 4) / [(b + 4)(b - 2)] - (b + 2) / [(b + 4)(b - 4)]

Next, we need to find a common denominator for the two fractions, which in this case is (b + 4)(b - 2)(b - 4). We can multiply the numerator and denominator of each fraction by the necessary factors to obtain the common denominator:

[(b - 4)(b - 4)] / [(b + 4)(b - 2)(b - 4)] - [(b + 2)(b - 2)] / [(b + 4)(b - 2)(b - 4)]

Now that we have a common denominator, we can combine the numerators:

[(b - 4)(b - 4) - (b + 2)(b - 2)] / [(b + 4)(b - 2)(b - 4)]

Expanding the numerators:

[b² - 8b + 16 - (b² - 4)] / [(b + 4)(b - 2)(b - 4)]

Simplifying further:

[b² - 8b + 16 - b² + 4] / [(b + 4)(b - 2)(b - 4)]

Combining like terms:

[-8b + 20] / [(b + 4)(b - 2)(b - 4)]

Finally, we have the simplified expression [-8b + 20] / [(b + 4)(b - 2)(b - 4)], with the restriction that b cannot be equal to -4, 2, or 4, since these values would result in division by zero in the denominator.

In summary, the simplified expression is [-8b + 20] / [(b + 4)(b - 2)(b - 4)], with the restrictions that b ≠ -4, 2, 4.

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Sphere A will have a net gain of electrons, and sphere B will have a net loss of electrons. Therefore, the correct answer is:(1) A, only

Based on the given diagram, we can determine which sphere will have a net gain of electrons when spheres A and B are brought into contact.

In the diagram, sphere A is represented by "+20%" and sphere B is represented by "+10%". The notation "%10" represents a positive charge, while "%20" represents a higher positive charge.

When two objects with different charges come into contact, electrons tend to move from the object with a higher negative charge (excess electrons) to the object with a lower negative charge (deficit of electrons). This equalizes the charges between the two objects.

In this case, since sphere A has a higher positive charge (+20%) compared to sphere B (+10%), electrons will move from sphere B to sphere A when they are brought into contact. Sphere A will have a net gain of electrons, and sphere B will have a net loss of electrons.

Therefore, the correct answer is:

(1) A, only

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Answer:

I hope it's helpful for you

The true statements are:

For a table to represent a linear function, then the values on the table must change at a constant rate i.e. slope

From the list of given options, tables 1 and 4 are linear functions

For a table to represent an exponential function, then the values on the table must change exponentially.

i.e.

\(y = ab^x\)

From the list of given options, table 3 is an exponential function

Table 2 is neither a linear function, nor an exponential function

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Answer:

Part a) consecutive interior angles

Part b) 

Part c) m∠5=

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

Part a) Angles 3 and 5 are consecutive interior angles

therefore

m∠3+m∠5=

Part b) we have

m∠3=

m∠5=

substitute

Part c) solve for x

Find the value of m∠5

m∠5=

m∠5=

Answer:

Step-by-step explanation ma is 9 because p + i=o K/x 798 g ćxΨ / ʥ and 78 / 2 +e =9 then oi x l = j j also = 6 and that's how you do it

Answer:

I feel the answer is:  "But we do believe that we should promise to do our best and do something good for somebody every day."

Step-by-step explanation:

I know this is right because I am currently learning about it in Edmentum and I took the test and got it right!

I hope this helps!  Please make brainliest!

Answer:

The system of equations is consistent and independent

Step-by-step explanation:

Given system of equations :

\(y=x+4\\y= -x-4\)

Consistent : For a two variable system of equations to be consistent the lines formed by the equations have to meet at some point or they have to be parallel.

Inconsistent :If the system of equations is not consistent then it is inconsistent.

Dependent:A dependent system of equations has infinite solutions

Independent :An independent system has a single solution.

Plot the lines on graph

y=x+4 --- Blue line

y=-x+4 ---- Green line

Refer the attached graph

The lines formed by the equations intersect at one point

So the lines are consistent

Now the given system of equations has single solution . So, it is independent

So, Option C is true

Hence The system of equations is consistent and independent

The just noticeable difference for an 80-ounce weight is 8 ounces.

Given that :

The just noticeable difference for a 10-ounce weight is 1 ounce.

We have to find the just noticeable difference for an 80-ounce weight.

Using proportional concept :

The 10-ounce weight corresponds to 1 ounce.

The 1-ounce weight corresponds to 1/10 ounce.

So, for an 80-ounce weight :

Corresponding just noticeable difference is :

80 × 1/10 = 8 ounces.

Hence the just noticeable difference for an 80-ounce weight would be 8 ounces.

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The required sample size is determined by finding the z-score that corresponds to a 90% confidence interval and then using that z-score to calculate the sample size. In this case, the z-score is 2.24 and the sample size is 467.

In order to determine the required sample size to be 90% certain that we are within 4 IQ points of the true mean, we must first calculate the z-score that corresponds to a 90% confidence interval. This z-score is calculated by subtracting the lower bound of the interval from the mean, and then dividing this difference by the standard deviation. In this case, the z-score is 2.24. We then use this z-score to calculate the required sample size, which is calculated by taking the z-score, squaring it, and then multiplying it by the sample variance. In this case, the sample size is 467. This means that we need at least 467 samples in order to be 90% certain that we are within 4 IQ points of the true mean.

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Answer:

6:9:5

Step-by-step explanation:

every 30ml of orange juice

need 45ml of apple juice

&25ml of coconut milk

so 30:45:25

divide all by 5

6:9:5

Answer:Use demos it could give you the answer

Step-by-step explanation:

Answer:

5/6 x 48 = 5 x 8=40

Step-by-step explanation:

Pls mark as brainliest

Answer:

40

Step-by-step explanation:

\( \frac{5}{6} \times 48 \\ \frac{5 \times 48}{6} \\ \frac{240}{6} = 40\)