Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4

The inequality which expresses the solution to the task is; x < 7.

According to the task content; The sum of 8 and a number is less than 15. Therefore, it follows that;

let

The unknown number = x

sum of 8 and a number:

8 + x

sum of 8 and a number is less than 15:

8 + x < 15

x < 15 -8

x < 7.

Ultimately, the required inequality is; x < 7.

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Answer:

Step 2 explains why Colton's solution is incorrect because he subtracted 13 on both sides instead of adding it on both sides.

Hope it helps!

Answer:

'Cause he didn't use the inverse operation! ^^

Step-by-step explanation:

Heres the correct way to solve it:

x-13=26

x=26+13

x=39

The correct way is to add 13 to both sides and not subtract.

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Hope that this helped! Best wishes.

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Answer: [tex]-9s^2 + 4s-2[/tex]

Step-by-step explanation:

[tex](-6s^2 +12s-8)-(3s^2 + 8s-6)\\\\=-6s^2 + 12s-8-3s^2 - 8s+6\\\\=\boxed{-9s^2 +4s-2}[/tex]

Answer:

a) 17

b) 50

c) 6

Step-by-step explanation:

a) 3x+y

3(5)+2

15+2

17

b) 2x²= 2×5²

2×25

50

c) (x-y)2= (5-2)2

(3)2

3×2

6

The range in the average rate of change in temperature of the substance is from a low temperature of 1 F to a high of -11 F.

The conversion formula for a temperature that is expressed on the Celsius (°C) scale to its Fahrenheit (°F) ;

°F = (9/5 × °C) + 32.

Given function:

f(x)= -6 sin(7/3 x+ 1/6) -5

The function will be maximum at the 7/3 x +1/6= 3π/2

So, the maximum temperature will be

= -6 sin (3π/2) -5

= 6 -5

= 1 F

The function will be minimum at the 7/3 x +1/6= π/2

Therefore, the maximum temperature will be

= -6 sin (π/2) - 5

= -6 -5

= -11 F

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[tex]4x - 2x = 7 + 3 \\ \\ 2x = 10 \\ \\ x = \frac{10}{2} \\ \\ x = 5.[/tex]

[tex]2x - 7x = - 14 - 6 \\ \\ - 5x = - 20 \\ \\ x = \frac{20}{5} \\ \\ x = 4.[/tex]

The degrees of each expression will be (x-9) degree 1, -4x²-6x+9 degree 2, x²-2x+9 degree 2, -3 degree 0, 3x-2 degree 1, 6x+2 degree 1 and 5 degree 0.

The degree of the polynomial is defined as the highest power of the variable of the given polynomial or it is the maximum power of the polynomial.

The degree of the given expressions are shown as follows:-

(x-9)                 →  degree 1,

(-4x²-6x+9)      → degree 2,

(x²-2x+9)         → degree 2,

(-3)                   → degree 0,

(3x-2)               → degree 1,

(6x+2)              → degree 1

(5)                    → degree 0.

Therefore the degrees of each expression will be (x-9) degree 1, -4x²-6x+9 degree 2, x²-2x+9 degree 2, -3 degree 0, 3x-2 degree 1, 6x+2 degree 1 and 5 degree 0.

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Answer:

[tex]12x^9+15x^8 -8x^6-10x^5[/tex]

Step-by-step explanation:

[tex]~~(x^4)(3x^3 -2)(4x^2 +5x)\\\\=(3x^7-2x^4)(4x^2 +5x)\\\\=12x^9+15x^8 -8x^6-10x^5[/tex]

Answer:

The sum of the other two numbers is 120.

Step-by-step explanation:

To find an average, you add all the numbers involved and divide it by the amount of numbers involved. in this case,

(x+y+z) ÷ 3 =50

x=30

Divide both sides by three to remove the denominator.

(30+y+z)÷ 3 (*3) = 50(*3)

(30+y+z)=150

Subtract 30 from both sides.

(30+y+z)-30= 150-30

y+z=120

Answer: $3.5

Step-by-step explanation:

If a product cost $1.50 and you paid $5, the change will be equal to

$5 - $1.50 = $3.5 for change

The correct option is the mean for set 2 is equal to the mean for set 1. (option A).

Mean is a measure of central tendency that is used to determine the average of a set of numbers.  

Mean = sum of the numbers / total number

Mean of set 1 = (29 + 31 + 27 + 33 + 30) / 5

= 150 / 5 = 30

Mean of set 1 = (33 + 31 + 26 + 31 + 29) / 5

= 150 / 5 = 30

Median is the measure of center of a dataset. It determines the value that is at the center of a dataset that is arranged in either ascending or descending order.

Set 1 arranged in ascending order : 27, 29, 30, 31, 33

Median of set 1 = 30

Set 2 arranged in ascending order : 26, 29, 31, 31, 33

Median of set 2 = 31

Differnce in the median = 31 - 30 = 1

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Answer:

question 3: n is bigger than or equal to 0

question 5: n is bigger than or equal to 0 (the same as question 3)

Step-by-step explanation:

solve the same way as a equation. just remember the symbols

The TVM solver is a tool found in graphing calculators, that solve Time Value of Money problems.

The group of values that will return the same value as the given expression is;

D. N = 24; I% = 3.6; PV =; PMT = -415; FV = 0; P/Y = 12; C/Y = 12; PMT :END

Present value (PV) formula finds application in finance to calculate the present day value of an amount that is received at a future date.

In the TVM solver, we have;

I = The annual percentage rate

N = n × t

t = The number of years

PV = Present value

PMT = Payment

P/Y = Number of payments per year = n

C/Y = Number of compounding periods per year = n

The formula for monthly payment is presented as follows;

[tex]P = \frac{M[(1+r/n)^{nt} - 1]}{(r/n)(1+r/n)^{nt}}[/tex]

M = [tex]\frac{P.(r/n)(1+ r/n)^{nt} }{(1+ r/n)^{nt} - 1}[/tex]

Therefore, we get;

Where;

M = PMT = -415

P = PV

r = I

P/Y = n = 12

Therefore;

0.003 = I/12

I = 0.003 X 12 = 3.6%

N = n X t = 24

The value of the equation is the present value, PV = ?

When payment are made based on the PV, we have FV = 0

The group of values the same value as the expression

P = [tex]\frac{(415)[(1+0.003)^{24}-1]}{(0.003)(1+0.003)^{24}}[/tex]

when plugged into the TVM solver of a calculator is;

D. N = 24; I% = 3.6; PV =; PMT = -415; FV = 0; P/Y = 12; C/Y = 12; PMT :END

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Hope this helps you

........

The average speed is 68 miles per hour

The given parameters are:

Distance = 476 miles

Time = 7 hours

The average speed is calculated as:

Speed = Distance/Time

So, we have:

Speed = 476 miles/7 hours

Evaluate

Speed = 68 miles per hour

Hence, the average speed is 68 miles per hour

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Answer:

only AAS,ASA and SSA Are classified

It's false

Step-by-step explanation:

please mark me as brainlest

False

The key reason is the formula 's limitations

As SSS means only three sides and no angles are given Law of sines can't be used

The measure of the angle of elevation from the ground to the top of the ladder is 68.73 degrees

These method is used to determine the side and angles of a triangle

From the question given, we have the following parameters

Base of the building = 7feet (Adjacent side)

Height of the building = 18 feet (Opposite side)

Required

angle of elevation of the building

Using the SineOppositeHypotenuse CosineAdjacentHypotenuse TangentOppositeAdjacent identity

tanФ = opp/adj

tanФ = 18/7

Ф = 68.73 degrees

Hence the measure of the angle of elevation from the ground to the top of the ladder is 68.73 degrees

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Answer:

{0, 2, 4, 6, 8 }

Step-by-step explanation:

the range is the y- coordinates of the ordered pairs , then

range { 0, 2, 4, 6, 8 }

The function is shown to be positive throughout the whole range [-3, -2] in graph (B).

According to the question,

Looking at the graph, we can see that the graph B has positive y-values in the range [-3, -2].

Hence The function is shown to be positive throughout the whole range [-3, -2] in graph (B).

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George will need to do 76 ft. of fencing , Option C is the correct answer.

A rectangle is a polygon with four sides , angles and vertices , the opposite sides are parallel and equal.

Area of the dog run = 240 sq.ft

Length of the run is 30 ft

Width is 30-x ft.

Area of a Rectangle = Length * Width

240 = 30 * (30-x)

8 = 30 -x

x = 22 ft.

Width is (30-220 = 8)

The perimeter of the rectangle is = 2(Length + Width )

Perimeter = 2( 30 +8)

Perimeter = 2 * 38 = 76 feet

Therefore George will need to do 76 ft. of fencing.

The complete question is

George is building a fence around a rectangular dog run. He is using his house as one side of the run. The area of the dog run will be 240 square feet. The length of the run is 30 feet, and the width is (30 minus x) feet. The diagram below shows his plan. Recall the formulas for area and perimeter: A = lw and P = 2l + 2w. A rectangle labeled  How many feet of fencing will George need for the dog run? 22 feet 68 feet 76 feet 82 feet

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Answer:

late a-s-f but 68 ft

Step-by-step explanation:

There are multiple ways to prove congruence between two triangles:

Keep in mind that the order of the letters matters.

Given triangle JLM, we know that

This is only one of the ways to prove congruence with these two triangles.

Answer:

y = 3

x = -15        

Step-by-step explanation:

When substituting, we want to get rid of one of the variables. (It's easiest ot find the variable in terms of other variable)

so, we know that...

 x + 5y = 0

    - 5y     - 5y

x = -5y

We can plug this x-value into the second equation to find our y-value:

 3y + 2x = -21

  3y + 2(-5y) = -21

3y - 10y = -21

      -7y = -21

     ÷ -7      ÷ -7

y = 3

So, if x = -5y,

x = -5y

x = -5(3)

x = -15

(we can test these values in one of the original equations):

    x + 5y = 0

(-15) + 5(3)= 0

-15 + 15 = 0

 {true}                        

so, y = 3 ; and x = -15    

hope this helps!! :)

Answer:

The answer is (-2,6)

Step-by-step explanation:

Answer: (-2, 6)

Step-by-step explanation:

An easy way to solve this is to plug in each answer into the system of inequalities to figure out with ordered pair adheres to the rules of both equation.

Let's use the first ordered pair as an example: (-3,4)

Is this true?:

4 > (-3)² +1

4 < (-3)² - (-3) + 1

No, it is not:

4 < 10

4 < 13

Let's try the second answer:

Is this true?:

6 > (-2)² + 1

6 < (-2)² -(-2) + 1

YES, it is!

6 > 5

6 < 7

(-2, 6) is your answer. To check, verify that the last two answer choices are wrong.

Answer: 62.8 cubic feet

Step-by-step explanation:

R is radius

H is height

R=2ft

H=5ft

V=(3.14)(2)^2(5)

V=62.8 cubic feet

A circle of radius 1 is inscribed within a square. What is the probability that a randomly-selected point with the square is also within the circle?

[tex] {p}^{2} > {p}^{2} \: \: and \: \: p {1}^{2} - \: p {2}^{2} \: < \frac{1}{3} [/tex]

Step-by-step explanation:

HOPE ITS HELP

The attached image represents the foci of the hyperbola

The equation of the hyperbola is given as:

[tex]\frac{x^2}{625} - \frac{y^2}{3600} = 1[/tex]

Rewrite as:

[tex]\frac{x^2}{25^2} - \frac{y^2}{60^2} = 1[/tex]

A hyperbola is represented as:

[tex]\frac{(x - h)^2}{b^2} - \frac{(y - k)^2}{a^2} = 1[/tex]

This means that:

h = 0

k = 0

b = 25

a = 60

Next, calculate c the distance from the center to the focus using:

[tex]c = \sqrt{a^2 -b^2}[/tex]

This gives

[tex]c = \sqrt{60^2 -25^2}[/tex]

Evaluate

[tex]c = \pm \sqrt{2975}[/tex]

This means that:

Foci = (0, -√2975) and (0, √2975)

See attachment for the hyperbola and the foci

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1B + 26M - 26K

Answer That!! Hehehehe