Help please! (Please do not answer with links)
Three step linear equations

8x - 10 = 4x - 30

Answer:

11.11%

Step-by-step explanation:

C.P = $8,100

S.P =$30 ×300

=$9,000

Markup = $9000-$8100

=$900

% markup = 900/8100 × 100

=11.11%

The perimeter of the figure is 53.7.

Perimeter can be defined as the total distance around a object.

To calculate the perimeter of the the figure below, we use the formula below.

Formula:

From the diagram,

Given:

Substitute these values into equation 1

Hence, the perimeter of the figure is 53.7

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The probability that both balls drawn from the urns are yellow is 15/32.

To find the probability that both balls drawn from the urns are yellow, we can calculate the probability of drawing a yellow ball from each urn and then multiply the probabilities together.

Let's consider Urn I and Urn II separately:

Urn I:

Urn I contains a total of 2 blue balls and 6 yellow balls.

The probability of drawing a yellow ball from Urn I on the first draw is 6/8, as there are 6 yellow balls out of a total of 8 balls in Urn I.

Urn II:

Urn II contains 3 blue balls and 5 yellow balls.

The probability of drawing a yellow ball from Urn II on the first draw is 5/8, as there are 5 yellow balls out of a total of 8 balls in Urn II.

Now, to find the probability of drawing a yellow ball from both urns, we multiply the probabilities together:

P(Yellow from Urn I) \(\times\) P(Yellow from Urn II) = (6/8) \(\times\) (5/8) = 30/64 = 15/32

Therefore, the probability that both balls drawn from the urns are yellow is 15/32.

It's important to note that this calculation assumes that the draws from each urn are independent, meaning that the outcome of one draw does not affect the other.

Additionally, it assumes that the draws are made without replacement, meaning that once a ball is drawn from an urn, it is not put back before drawing from the second urn.

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The length and width of the bar will be 10.5 inches and 5.7 inches.

It is important to note that the area of a rectangle is illustrated as:

= Length × Width

Based on the information given,

Width = w

Length = 2w - 0.9

Area = 59.85

Therefore, area = length × width

The values will be put into the formula:

w(2w - 0.9) = 59.85

2w² - 0.9w = 59.85

Equate to 0

2w² - 0.9w - 59.85 = 0

Solving using through quadratic equation, w will be:

w = (0?9 + 21.9)/4

Width = 5.7

Length = 2w - 0.9 = 2(5.7) - 0.9 = 10.5 feet.

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The correct answer is:

**C) 0.28**

The sum of deviations refers to the sum of the differences between individual data points and the mean of the dataset. In any dataset, the sum of deviations from the mean will always equal 0.

This is because, when calculating the mean, you sum all the data points and then divide by the number of data points. The mean represents the "middle" or "balance" point of the dataset. When you add up the differences between each data point and the mean, the positive and negative deviations will cancel each other out, resulting in a sum of 0.

So, any non-zero value for the sum of deviations is impossible. In this case, 0.28 is the only non-zero value.

a. The series ∑n=1 to ∞ \((n^2 + 2n) / n\) diverges. b. The series ∑n=1 to ∞ \((n^3 + 2n) / n\) converges. c. The series ∑n=1 to ∞ \((n^3 + n + 1100)\) converges. d. The series ∑n=1 to ∞ (n+1) / 3100 diverges. e. The series ∑n=2 to ∞ \((n^5 - 3n - 14) / (n^2 + 5n - 2)\) converges.

a. The series ∑n=1 to ∞ \((n^2 + 2n) / n\) diverges. This can be justified using the divergence test. As n approaches infinity, the term simplifies to n + 2, which does not converge to zero. Therefore, the series diverges.

b. The series ∑n=1 to ∞ \((n^3 + 2n) / n\) converges. By simplifying the term (n^3 + 2n) / n, we get, which is a polynomial function. The highest power in the polynomial is and the series converges for polynomial functions of degree 2 or higher. Therefore, the series converges.

c. The series ∑n=1 to ∞ \((n^3 + n + 1100)\) converges. This can be justified by noting that each term in the series is a constant multiple of n^3, and the series of n^3 converges. Additionally, the constant term and the linear term do not affect the convergence of the series. Therefore, the series converges.

d. The series ∑n=1 to ∞ (n+1) / 3100 diverges. This can be justified by observing that the terms (n+1) / 3100 do not approach zero as n approaches infinity. Therefore, the series diverges.

e. The series ∑n=2 to ∞\((n^5 - 3n - 14) / (n^2 + 5n - 2)\) converges. This can be justified by using the limit comparison test or the ratio test. By applying the ratio test, the series simplifies to ∑n=2 to ∞ \(n^3 / n^2\) = ∑n=2 to ∞ n. Since the series of n converges, the given series also converges.

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Answer:

f(x) = a(1 + r)x f(x) = 100000(1+0.04)^10 = 148,024 I believe

Step-by-step explanation:

False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.

In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.

When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.

In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.

However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.

Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.

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For 420 minutes of calls will the costs of the two plans be equal.

We have,

The first plan has a $21 monthly fee and charges an additional $0.09 for each minute of calls.

The second plan has no monthly fee but charges $0.14 for each minutes.

So, the equation can be set as

0.14x = 0.09x +21

where x be the number of minutes.

0.14x - 0.09x = 21

0.05x = 21

x = 420 minutes

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Answer:

6

Step-by-step explanation:

Answer:

Simplifying

8m + -14 = 3m + 46

Reorder the terms:

-14 + 8m = 3m + 46

Reorder the terms:

-14 + 8m = 46 + 3m

Solving

-14 + 8m = 46 + 3m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-3m' to each side of the equation.

-14 + 8m + -3m = 46 + 3m + -3m

Combine like terms: 8m + -3m = 5m

-14 + 5m = 46 + 3m + -3m

Combine like terms: 3m + -3m = 0

-14 + 5m = 46 + 0

-14 + 5m = 46

Add '14' to each side of the equation.

-14 + 14 + 5m = 46 + 14

Combine like terms: -14 + 14 = 0

0 + 5m = 46 + 14

5m = 46 + 14

Combine like terms: 46 + 14 = 60

5m = 60

Divide each side by '5'.

m = 12

Simplifying

m = 12

Answer:

m = 12

Step-by-step explanation:

We want to isolate "m" on one side of equation to see what it is equal to.

Step 1.

Add 14 to both sides of the equation to get 8m = 3m + 60

Step 2.

Subtract 3m from both sides to get 5m = 60

Step 3.

Divide both sides by 5 to get m = 12.

Answer:

It could possibly be A. y = 3x

Step-by-step explanation:

When I put 3y = x in y = mx + b form it turned into y = 1/3x which is answer choice b, so it's the same answer choices but written differently. For C. you can already know that won't be the answer. So the only one left is A.

Answer:

12 white 28 printed

Step-by-step explanation:

x = white y = printed

x + y = 40————(1)

4.95x + 7.95y = 282————(2)

Solve for x using 1st equation

x = 40 - y Plug in for x using 2nd equation

4.95(40 - y) + 7.95y = 282 Solve for y

198 - 4.95y + 7.95y = 282

3y = 84

y = 28         Plug in for y using 1st equation

x + (28) = 40     Solve for x

x = 12

I hope this helped and please mark me as brainliest!

Answer:

12 white shirts and 28 printed shirts

Step-by-step explanation:

1. 4.95x + 7.95y = 282

x + y = 40

2. Guess and Check

12 + 28 = 40

4.95 (12) + 7.95 (28) = 59.4 + 222.6

59.4 + 222.6 = 280

3. Answer: 12 white shirts and 28 printed shirts

You can do elimination or substitution, but in this case, I feel like it would've been too complicated.

Answer: quadrilateral is inscribed in a circle , then supplementary . " its opposite angles are Given : Quadriateral ABCD is inscribed in OE Prove : ABC

Step-by-step explanation:

The measure of the length r (SQ) of the triangle ΔQRS will be 2.40 inches.

The Law of Sines The law of trigonometric functions, sine law, sine formula, or sinusoidal rule is a trigonometric equation that relates the sizes of any triangle's edges to the sines of its orientations.

The sine law in the triangle ΔQRS is given as,

QR / sin S = SQ / sin R = SR / sin Q

The third angle of the triangle ΔQRS is given as,

∠Q + ∠R + ∠S = 180°

∠R + 30° + 129° = 180°

∠R = 21°

Then the measure of the length r (SQ) will be calculated as,

5.2 / sin 129° = SQ / sin 21°

SQ = 2.40 inches

The measure of the length r (SQ) of the triangle ΔQRS will be 2.40 inches.

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Hence, when the is full, it will hold 700 liters of brine and 250 kg of salts dissolved in it.

The fundamental mass unit in the measuring units is the kilogram (kg). The weight of 1,000 cubic centimeters of water is very close to (and was initially planned to be exactly) one kilogram. The precise definition of a pound is 0.45359237 kg.

Let's first figure out how long is takes for the brine tank to fill.

The tank must be filled up to its maximum capacity of 700 liters, which is 100 liters of brine at first. As a result, the amount of brine that must be added is:

700 liters - 100 liters = 600 liters

The time required to fill it up 600 liters of brine if 8 liters of brine per second are injected into the tank is:

600 liters / 8 liters per second = 75 seconds

Let's check the tank's salt content after 75 seconds.

The amount of salt in the tank after 75 seconds is equal to: 100 kilograms (the original amount of salt) + (8 liters per unit - 6 each second) x 1 kilogram of salt per liter x 75 seconds. The rate of salt in the tank increasing is 1 kilogram per liter per second.

= 100 kilograms + 150 kilograms

= 250 kilograms

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Answer: x = 3, and z = 111

Step-by-step explanation:

The opposite angles 69 and 6x + 51 are equal:

6x+51 = 69

x = 3

Angle z and angle 69 share a straight line, so the sums of theeri angles is 180:

z + 69 = 180

z = 111

Answer: 500

Step-by-step explanation:

The remainder of the question is:

How many units does the company need to sell to reach the target profit?

The required sales to break even will be calculated as:

= (Fixed cost + Required profit) / ( Price per unit - Variable cost)

= (120000 - 80000) / (100 - 20)

= 40000/80

= 500

The company needs to sell 500 units.

"sam places 3850 in a bank account that pays 1.3% simple interest per year and how much interest will she earn in 6 years | Wyzant Ask An Expert" https://www.wyzant.com/resources/answers/646803/sam-places-3850-in-a-bank-account-that-pays-1-3-simple-interest-per-year-an3850

Answer:

false

Step-by-step explanation:

i dont know dont trust me

false carol gots 110$ and bill gots 115 10 times 6 is 60 and 60 +50 is 110 15 times 6 is 90 + 25 is 115 so no they don't got the same

The critical value of f(x) = 5x⁶ - 3x⁵ is x = 0.5 which is also its maxima point

f(x) = 5x⁶ - 3x⁵

differentiation w.r.t x

=> f'(x) = 30x⁵ - 15x⁴

Putting f'(x) = 0

30x⁵ - 15x⁴ = 0

=> x⁴(30x - 15) =0

=> 30x - 15 = 0

=> x = 15/30

=> x = 0.5 , 0

Critical number is 0.5 , 0

(B) To find where f(x) is increasing

for x > 0.5 ,

(30x-15) > 0 => x⁴(30x - 15) > 0

Therefore , f(x) is increasing at ( 0.5 , ∞ )

(C)To find where f(x) is decreasing

for x < 0.5 ,

(30x-15) < 0 => x⁴(30x - 15) < 0

Therefore , f(x) is decreasing at ( -∞ , 0.5)

(D) Differentiation f'(x) again w.r.t to x

f'(x) = 30x⁵ - 15x⁴

f"(X) = 150x⁴ - 60x³

Substituting critical values of x

=> 150(0.5)⁴ - 60(0.5)³

=>9.375 - 7.5

=> -1.875 < 0 , Hence , x = 0.5 is point of maxima

(E) no point of minima

Similarly , we can solve other parts

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Answer:All in domain

Step-by-step explanation:

Answer:all in domain

Step-by-step explanation:I did it on khan

Answer:

2) -5 ^25

4) 3^6

5)-12^8

6)7^6

7)64

8)-10^5 or it can also be written as -100000

9) 9^3

10) x=12

Kelly will take 33 minutes to run a 4.5-mile race.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Time taken by Kelly to cover 12-mile race = 88 minutes,

To find time taken by Kelly to cover the 4.5-mile race,

Use ratio property,

12-mile race = 88 minutes,

3-mile race = 22 minutes

4.5-mile race = 22×1.5 = 33 minutes

Kelly takes 33 minutes to cover the 4.5-mile race.

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The arrival time will be 1:45 pm (13:45) on the day after the departure day.

To see why, we can add the travel time of 25 hours and 25 minutes to the departure time of 12:20 pm.

First, we convert 25 minutes to hours by dividing by 60:

25 minutes ÷ 60 minutes/hour = 0.42 hours

Then, we add the 25 hours and 0.42 hours to the departure time:

12:20 pm + 25 hours + 0.42 hours = 1:45 pm

So the train will arrive in Alice Springs at 1:45 pm on the day after it departs from Adelaide.

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Answer:

\( \sqrt{1200 {}^{2} - 687 {}^{2} } \\ \)

Step-by-step explanation:

The Pythagoras Theorem says that

\(a {}^{2} + b {}^{2} \)

equals

\(c {}^{2} \)

and here we have C and A or B

Answer: 5

Step-by-step explanation:

-4x/4x = x

-20/-4 = 5

therefore x = 5

Answer:

x = 25

Step-by-step explanation:

Hope this helps! :)

The value of x is 25 units.

Answer:

4th answer is correct

Step-by-step explanation:

First, let us make x the subject.

\(\sf \frac{x+4}{4} =\frac{y+7}{7}\)

Use cross multiplication.

\(\sf 7(x+4)=4(y+7)\)

Solve the brackets.

\(\sf 7x+28=4y+28\)

Subtract 28 from both sides.

\(\sf 7x=4y+28-28\\\\\sf7x=4y\)

Divide both sides by 7.

\(\sf x=\frac{4y}{7}\)

Now let us find the value of x/4.

To find that, replace x with (4y/7).

Let us find it now.

\(\sf \frac{x}{4} =\frac{\frac{4y}{7} }{4} \\\\\sf \frac{x}{4} =\frac{4y}{7}*\frac{1}{4} \\\\\sf \frac{x}{4} =\frac{4y}{28}\\\\\sf \frac{x}{4} =\frac{y}{7}\)