7-5x-10+3x simplified please show steps

Answer:

Decimal:

100 + 50 + 25 + 12.5 + 6.25 + 3.125 + 1.5625

Fraction:

\(100 +50+25 + 12\frac{1}{2}+6\frac{1}{4}+3\frac{1}{8}+1\frac{9}{16}\)

Answer: 28.25%

Step-by-step explanation:

113/400=0.2825=28.25%

Answer:

A. down

Step-by-step explanation:

The parent graph is

f(x)=x

If this graph is transformed to obtain

g(x)=f(x)−4

The subtracttion means the graph will shift downward vertically

The graph of g(x) is obtained by shifting f(x) down by 4 unit.

Therefore the direction is down.

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Answer:

Given that the vertices of quadrilateral PQRS are P(6,3), Q(4,2), R(2,4) and S(4,5) and the quadrilateral is dilated with a scale factor of 2, about the origin.

Now, let's find the new vertices of the dilated image:

Vertex P is dilated by a scale factor of 2, its new coordinates will be (2 × 6, 2 × 3) = (12, 6). Therefore, the new vertex P' is at (12, 6).

Vertex Q is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 2) = (8, 4). Therefore, the new vertex Q' is at (8, 4).

Vertex R is dilated by a scale factor of 2, its new coordinates will be (2 × 2, 2 × 4) = (4, 8). Therefore, the new vertex R' is at (4, 8).

Vertex S is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 5) = (8, 10). Therefore, the new vertex S' is at (8, 10).

Therefore, the coordinates of the vertices of the final image are P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).So, the correct option is D. P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).

Step-by-step explanation:

Hope this helps you!! Have a good day/night!!

Answer:

A) x=\(\sqrt{9^{2}+3^{2} }\)   B) x=9.49

Step-by-step explanation:

a person at a height of 400 km above Earth's surface can see for a distance of approximately 5,130 km on a clear day.

To find the distance to the horizon, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (longest side) is equal to the sum of the squares of the other two sides.

In this case, the Earth's radius represents one side of the right triangle, and the distance to the horizon represents the hypotenuse. We can find the other side of the triangle by subtracting the height h of the observer from the Earth's radius:

r = 6400 km

h = 400 km

distance to horizon = d

Using the Pythagorean theorem, we get:

\(d^2 = r^2 + (r + h)^2\)

Simplifying this expression, we get:

\(d^2 = r^2 + r^2 + 2rh + h^2d^2 = 2r^2 + 2rh + h^2\)

Plugging in the values for r and h, we get:

\(d^2 = 2(6400 km)^2 + 2(6400 km)(400 km) + (400 km)^2d^2 = 25,984,000 km^2\)

Taking the square root of both sides, we get:

d = 5,130 km

Therefore, a person at a height of 400 km above Earth's surface can see for a distance of approximately 5,130 km on a clear day.

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Answer:

y>3x+2

Step-by-step explanation:

1. use y2-y1/x2-x1 to find the slope (3)

2. since the y-intercept is already give as (0,2) we have the equation y=3x+2

3. finally since the left side is shaded, that would mean everything greater than that equation can equal y therefore y>3x+2

Answer:

Beans

Step-by-step explanation:

If we spin the spinner 11 times, 4 is the best prediction possible for the number of times it will land on pink.

To calculate the expected value of a random variable, simply multiply it with the respective probability and sum the respective products.

Given, total number of outcomes=11.

Total number of pink colored spin= 4

Probability of a spin resulting pink color=4/11

Expected number of spins of pink color= \(\sum xp(x)\)

=(1×4/11)+(2×4/11)+(3×4/11)+(4×4/11)

=4/11(1+2+3+4)

=40/11

=3.63 ≈ 4

Thus, the best prediction possible for the number of times it will land on pink is 4.

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Incomplete:

Image of spinner is missing in the question, Therefore attaching it below:

The answer would be 16 all you have to do is multiply the length by the width which is 2 and 8.

Answer:

Number of 10 cents = 18

Number of  20 cents = 10

Step-by-step explanation:

Let number of 10 cents be = x

Let number 20 cents be = y

Total number of coins = x + y = 28  -------- ( 1 )

Total amount in the box = 0.10 x + 0.20y = 3.80 ---------- ( 2 )

Solve the equations to find x and y

( 1 ) => x + y = 28

         x = 28 - y

Substitute x in ( 2 )

( 2 ) => 0.10(28 - y) + 0.20y = 3.80

          2.80 - 0.10y + 0.20y = 3.80

            0.10 y = 3.80 - 2.80

            0.10 y = 1.00

                \(y = \frac{1}{0.10} = 10\)

                y = 10

Substitute y in ( 1 ) => x + y = 28

                                x + 10 = 28

                                x = 28 - 10

                                x = 18

1.1. Accumulated depreciation:

The accumulated depreciation for the machine bought on 1 July 2013 would be R150,000 as of 31 March 2016.

1.2. Machine realization:

The machine bought in 2013 was sold for R120,000 on 30 June 2015, resulting in a profit/loss on the sale of R10,000.

1.1. Accumulated Depreciation:

To calculate the accumulated depreciation, we need to determine the annual depreciation expense for each machine and then accumulate it over the years.

Machine bought on 1 July 2013:

Cost: R250,000

Depreciation rate: 20% per annum on cost

Depreciation expense for the year ended 31 March 2014: 20% of R250,000 = R50,000

Depreciation expense for the year ended 31 March 2015: 20% of R250,000 = R50,000

Depreciation expense for the year ended 31 March 2016: 20% of R250,000 = R50,000

Accumulated depreciation for the machine bought on 1 July 2013:

As of 31 March 2014: R50,000

As of 31 March 2015: R100,000

As of 31 March 2016: R150,000

1.2. Machine Realisation:

To record the sale of the machine bought in 2013, we need to adjust the machine's value and the accumulated depreciation.

Machine's original cost: R250,000

Accumulated depreciation as of 30 June 2015: R100,000

Net book value as of 30 June 2015:  

R250,000 - R100,000 = R150,000.

On 30 June 2015, the machine was sold for R120,000.

Realisation amount: R120,000

To record the sale:

Debit Cash: R120,000

Debit Accumulated Depreciation: R100,000

Credit Machine: R250,000

Credit Machine Realisation: R120,000

Credit Profit/Loss on Sale of Machine: R10,000 (difference between net book value and realisation amount).

These entries will reflect the appropriate balances in the ledger accounts and properly close off the accounts for the years ended 31 March 2016.

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In order to simplify this expression, we need to use the following property:

So we have:

Therefore the answer is 26^9.

Answer:

26^9

Step-by-step explanation:

i just got the question right

Roland's percent error is approximately 3.889%.

This means that his measured value differs from the actual value by 3.889% or 0.03889 in decimal form.

The positive sign indicates that Roland's measured value is slightly lower than the actual value.

To calculate Roland's percent error, we can use the formula:

Percent Error = (|Measured Value - Actual Value| / Actual Value) \(\times\) 100

Given that Roland measured a current of 0.173 amps while expecting a current of 0.180 amps, we can substitute these values into the formula:

Percent Error = (|0.173 - 0.180| / 0.180) \(\times\) 100

Simplifying the expression within the absolute value:

Percent Error = (|-0.007| / 0.180) \(\times\) 100

Since the absolute value of -0.007 is 0.007, we have:

Percent Error = (0.007 / 0.180) \(\times\) 100

Calculating the division:

Percent Error = 0.03889 \(\times\) 100

Percent Error = 3.889%.

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The area of the trapezoid is equal to 139.5 in² and the correct option is B.

area of the trapezoid is calculated using the formula: 1/2 × (AB + CD) × height (EB)

AB = 12 in

CD = 2 in + 12 in + 5 in = 19 in

height = 9 in

area of trapezoid ABDE = 1/2 × (12 + 19) × 9 in²

area of trapezoid ABDE = 1/2 × 31 × 9 in²

area of trapezoid ABDE = 1/2 × 279 in²

area of trapezoid ABDE = 139.5 in²

Therefore, the area of the trapezoid is equal to 139.5 in².

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Answer:

x = 2

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × breadth

given the rectangles have equal areas then equating the two areas gives

4x × 9 = 4(6x + 6) , that is

36x = 24x + 24 ( subtract 24x from both sides )

12x = 24 ( divide both sides by 12 )

x = 2

Answer:

4x - 3 - 2x + 5 = 6 - 3x + 2 + 5x

2x + 2 = 2x + 8

2 ≠ 8, so this equation has no solutions.

Answer:

No solution

Step-by-step explanation:

Given:

\(4x-3-2x+5=6-3x+2+5x\)

rearrange terms so like terms are together

\(4x-2x-3+5=6+2-3x+5x\)

combine like terms

\(2x+2=8+2x\)

subtract 2x to both sides

\(2\neq 8\)

2 doesn't equal 8, meaning that there are 0 solutions to this problem.

Hope this helps! :)

Answer:

[see below]

Step-by-step explanation:

Reflection over the x axis is: \((x,y)\rightarrow(x,-y)\)

(0, -2) - > (0, 2)

(5, -1) - > (5, 1)

(2, -4) - > (2, 4)

A'B'C'  should be (0,2), (5,1) and (2,4). (Or option B)

Hope this helps.

Answer:

156 M

Reasoning you add How far He has walked from his starting point

Step-by-step explanation:

Answer: 156 m here u go

Answer:

0.93319

Step-by-step explanation:

We solve the question using the z score formula

z = (x-μ)/σ/√n where

x is the raw score = 17.2 lbs

μ is the population mean = 19 lbs

σ is the population standard deviation = 6

n is the random number of samples = 25 fishes

Greater than sign = >

For x > 17.2 lbs

z = 17.2 - 19/6/√25

z = 17.2 - 19/ 6/5

z = 17.2 - 19/1.2

z = -1.5

Probability value from Z-Table:

P(x<17.2) = 0.066807

P(x>17.2) = 1 - P(x<17.2)

P(x>17.2) = 1 - 0.066807

P(x>17.2) = 0.93319

Therefore, that the probability that the mean weight will be greater than 17.2 lbs is 0.93319

The lengths equal to 3 yards 16 inches are 3 yards, 108 inches, 3.44 yards (approximately), and 108.44 inches (approximately).

To determine the lengths that are equal to 3 yards 16 inches, we need to convert the measurements into a consistent unit. Since both yards and inches are units of length, we can convert the inches into yards or the yards into inches to find the equivalent lengths.

1 yard is equal to 36 inches (since 1 yard = 3 feet and 1 foot = 12 inches).

Therefore, 3 yards is equal to 3 * 36 = 108 inches.

Now, we can compare 108 inches to 3 yards 16 inches.

108 inches is equal to 3 yards, so it matches the given length.

To convert 16 inches into yards, we divide it by 36 since 1 yard = 36 inches. 16 inches / 36 = 0.44 yards.

Therefore, 3 yards 16 inches is equivalent to:

3 yards

108 inches

3 yards 0.44 yards (or approximately 3.44 yards)

108 inches 0.44 yards (or approximately 108.44 inches)

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Answer:

5X

Step-by-step explanation:

las ecuaciones con fracciones dan:

Sabemos que 5 vueltas es igual a 150 metros, entonces cada vuelta es equivalente a:

v = 150m/5 = 30m

Es decir, cada vuelta equivale a 30 metros.

Ahora simplemente podemos resolver las ecuaciones con fracciones:

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Answer:

7 times k = 7k

hence,

7k-40 is the answer

The surface area of the wooden structure is approximately 1012 cm².

To calculate the surface area of the wooden structure, we need to find the surface area of the cone and the surface area of the hemispherical base, and then add them together.

Surface Area of the Cone:

The surface area of a cone is given by the formula:

A_{cone = \(\pi \times r_{cone} \times (r_{cone} + s_{cone})\), \(r_{cone\) is the radius of the base of the cone and \(s_{cone\) is the slant height of the cone.

The vertical height of the cone is 24 cm, and the base radius is 7 cm, we can calculate the slant height using the Pythagorean theorem:

\(s_{cone\) = \(\sqrt{(r_{cone}^2 + h_{cone}^2).\)

Using the given measurements:

\(s_{cone\) = √(7² + 24²) cm

\(s_{cone\) ≈ √(49 + 576) cm

\(s_{cone\) ≈ √625 cm

\(s_{cone\) ≈ 25 cm

Now, we can calculate the surface area of the cone:

\(A_{cone\) = π × 7 cm × (7 cm + 25 cm)

\(A_{cone\) = (22/7) × 7 cm × 32 cm

\(A_{cone\) = 704 cm²

Surface Area of the Hemispherical Base:

The surface area of a hemisphere is given by the formula:

\(A_{hemisphere\) = \(2 \times \pi \times r_{base}^2\), \(r_{base\) is the radius of the base of the hemisphere.

Given that the base radius is 7 cm, we can calculate the surface area of the hemispherical base:

\(A_{hemisphere\) = 2 × (22/7) × (7 cm)²

\(A_{hemisphere\) = (22/7) × 2 × 49 cm²

\(A_{hemisphere\) = 308 cm²

Total Surface Area:

To calculate the total surface area, we add the surface area of the cone and the surface area of the hemispherical base:

Total Surface Area = \(A_{cone} + A_{hemisphere}\)

Total Surface Area = 704 cm² + 308 cm²

Total Surface Area = 1012 cm²

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Step-by-step explanation:

A formula that allows you to rewrite a logarithm in terms of logs written with another base. This is especially helpful when using a calculator to evaluate a log to any base other than 10 or e. Assume that x, a, and b are all positive.

Answer:

Number of shopper buy from sale [3,000shopper] = 600 (Approx.)

Step-by-step explanation:

Given:

Number of shopper in mall = 60

Number of shopper buy from sale = 12

Find:

Number of shopper buy from sale if total number number of shopper are 3,000

Computation:

Number of shopper buy from sale [3,000shopper] = 3000[Number of shopper buy from sale/Number of shopper in mall]

Number of shopper buy from sale [3,000shopper] = 3000[12 / 60]

Number of shopper buy from sale [3,000shopper] = 3000[1/5]

Number of shopper buy from sale [3,000shopper] = 600 (Approx.)

The graph with the correct values is given in the attached graph

All the points (and only those points) which lie on the graph of the function satisfy its equation.

Thus, if a point lies on the graph of a function, then it must also satisfy the function.

We are given that;

f(1.5)=6,f(0)=4.5,f(1)=5.3,f(0.5)=0.5,f(2)=2

Given the specific values of f(x) at various points, we can plot these points on a coordinate plane and connect them with straight lines to create a rough graph of the function f. The graph will consist of the points (x, f(x)) for each value of x, where f(x) is given.

Based on the given values, we have the following points:

(0, 4.5)

(0.5, 0.5)

(1, 5.3)

(1.5, 6)

(2, 2)

Plotting these points on a coordinate plane and connecting them with straight lines, we get the following graph of f:

Therefore, the graph of the function is shown.

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Answer:

1/9 i think not sure

Step-by-step explanation:

Answer:

1/9

Step-by-step explanation:

Well the chance of picking 3 one time is 1/3

The chance of picking 3 the second time is 1/3

So at first, we've succeeded with probability 1/3 and failed with probability 2/3

We don't care what happens next if we've failed - we already failed.

So we've reached the "picking the second card with hope in our hearts" 1/3 of the time and we again succeed with 1/3 of a chance, so the total probability of success is 1/3 * 1/3 = 1/9

Think of the options:

3 and 3 - probability 1/3 * 1/3 = 1/9

3 and non-3 - probability 1/3 * 2/3 = 2/9

non-3 and 3 - probability 2/3 * 1/3 = 2/9

non-3 and non-3 - probability 2/3 * 2/3 = 4/9

Note that all the options sum to 1 - as probabilities of all options always should.

There are 45,360 distinguishable permutatiοns οf the wοrd "Happiness".

Permutatiοn is cοnsidered an οrdered cοmbinatiοn.

The wοrd "Happiness" has 9 letters, but it has twο repeated letters: "s" appears twice.

Sο, we need tο find the number οf distinguishable permutatiοns, which we can dο using the fοrmula:

n!/n1!n2!...nk!

In this case, we have:

n = 9 (tοtal number οf letters)

n1 = 2 (number οf repeated "s" letters)

n2 = 2 (number οf repeated "p" letters)

Using the fοrmula, we get:

9! / (2! * 2!) = 45,360

Therefοre, there are 45,360 distinguishable permutatiοns οf the wοrd "Happiness".

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Complete Questions;

How many distinguishable permutations are in the word happiness?

The complete diagram map is given as,
1 - 3
2 - 5,
3 - 7,
8 - 17,
10 - 21
100 - 201

Given that,
To complete the map diagram,

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
The given map diagram follows the general term as nth term = 2n + 1
So for n = 3
= 2 [3] + 1
= 7
Similarly,

10th = 21
100th = 2001

For the value 17

17 = 2n + 1
n = 8
So the 8th term is 17 in the map diagram,

Thus, The complete diagram map has been shown.

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