If x+5=20, what does X+10 equal?

The expression [(x + 4) / (7)] - [(x + 3) / (x + 5)] in simplified form will be (x² + 2x - 1) / 7(x + 5). Then the correct option is A.

We have,

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 expression is given below.

⇒ [(x + 4) / (7)] - [(x + 3) / (x + 5)]

Simplify the expression, then we have

⇒ [(x + 4) / (7)] - [(x + 3) / (x + 5)]

⇒ [(x + 4)(x + 5) - 7(x + 3)] / [7(x + 5)]

⇒ [x² + 9x + 20 - 7x - 21] / [7(x + 5)]

⇒ (x² + 2x - 1) / 7(x + 5)

The expression [(x + 4) / (7)] - [(x + 3) / (x + 5)] in simplified form will be (x² + 2x - 1) / 7(x + 5). Then the correct option is A.

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Answer:

Step-by-step explanation:

Given the coordinate points (6, -3) and (7, -10), we are to find the equation of a line passing through this two points;

The standard equation of a line is y = mx+c

m is the slope

c is the intercept

Get the slope;

m = Δy/Δx = y2-y1/x2-x1

m = -10-(-3)/7-6

m = -10+3/1

m = -7

Get the intercept;

Substitute the point (6, -3) and m = -7 into the expression y = mx+c

-3 = -7(6)+c

-3 = -42 + c

c = -3 + 42

c = 39

Get the required equation by substituting m = -7 and c= 39 into the equation y = mx+c

y = -7x + 39

Hence the required equation is y = -7x + 39

Answer:

No they are not equivalent.

Step-by-step explanation:

2(x - 2) + 3

First distribute the 2. It goes to both the x and also to the - 2

= 2x - 4 + 3

Add - 4 + 3

= 2x - 1

This is not equal to 2x - 7

A person weighing 173 pounds can burn 10.7 calories per minute.

The given equation is ŷ=2.2+0.05x.

To solve this question, we can use the equation given, ŷ=2.2+0.05x. We can insert the known weight value, 173 pounds, to calculate the anticipated calories burned per minute.

y = 2.2 + 0.05x

y = 2.2 + 0.05 × 173

y = 10.7

Therefore, a person weighing 173 pounds can burn 10.7 calories per minute.

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"Your question is incomplete, probably the complete question/missing part is:"

By observing a set of data values, Thomas used a calculator for the weight (in pounds) and predicted the number of calories burned per minute to get an equation for the least-squares line: ŷ=2.2+0.05x

Based on the information gathered by Thomas, select the statement that is true.

a) A person weighing 149 pounds can burn 9.8 calories per minute.

b) A person weighing 134 pounds can burn 8.9 calories per minute.

c) A person weighing 125 pounds can burn 8.3 calories per minute.

d) A person weighing 173 pounds can burn 10.7 calories per minute.

Answer:

A person weighing 134 pounds can burn 8.9 calories a minute.

Step-by-step explanation:

Answer:

? = 2

Step-by-step explanation:

3x + 6 = 3(x + 2)

3x + 6 = 3x + 2

So, the answer is 2.

Answer:

\(\mathrm{a=-50,\ d=7,\ general\ formula=7(n-1)-50}\)

Step-by-step explanation:

\(\mathrm{Solution,}\\\mathrm{Given,}\\\mathrm{15^{th}\ term(t_{15})=48}\\\mathrm{or,\ a+14d=48.........(1)}\\\mathrm{And\ 40^{th}\ term(t_{40})=223}\\\mathrm{or,\ a+39d=223......(2)}\\\mathrm{n^{th}\ term(t_n)=\ ?}\\\mathrm{Subtracting\ equation(1)\ from\ (2),}\\\mathrm{25d=175}\\\mathrm{or,\ d=7}\\\mathrm{Now,\ a+14d=48\ or,\ a=48-14d=48-14(7)}\\\mathrm{\therefore a=-50}\)

\(\mathrm{t_n=a+(n-1)d}\\\mathrm{or,\ t_n=-50+(n-1)7}\\\mathrm{\therefore general\ formula=7(n-1)-50}\)

Equation in standard form that has a graph that passes through point (-4, 2) and has slope of 9/2 is calculated to be as equal to -40.

The equation in standard form that has a graph that passes through the point (-4, 2) and has a slope of 9/2 is given by  :

Step 1: Recall the standard form of a linear equation

The standard form of a linear equation is Ax + By = C, where A, B, and C are constants.

Step 2: Substitute given values

The equation should pass through the point (-4, 2) and should have a slope of 9/2.

Therefore, the slope-intercept form of the equation is given by:

y - 2 = (9/2)(x + 4)

Multiplying through by 2, we have: 2y - 4 = 9(x + 4)2y - 4

= 9x + 36

Rearranging, we get: 9x - 2y

= -40

Therefore, the equation in standard form that has a graph that passes through the point (-4, 2) and has a slope of 9/2 is 9x - 2y

= -40.

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For any continuous random variable, the probability that the random variable takes a value less than zero D. is zero.

A variable at random If the potential values of X are either a single interval on the number line or a union of disjoint intervals, then X is continuous.

A continuous random variable has an endless number of possible values. Measurements are typically made with continuous random variables. Height, weight, the amount of sugar in an orange, and the time required to run a mile are all examples.

A continuous probability distribution is one in which the random variable X can have any value is continuous. Because X can take on an unlimited number of values, the likelihood of X taking on any one specific value is zero.

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Answer:

slope of CE is 2/3

Step-by-step explanation:

used the slope formula: change in y-values / change in x-values

Answer:

The answer is $84

Step-by-step explanation:

hope this helps

$70×0.2=14

$70+$14=$84

Answer:

Step-by-step explanation:

$87.50 would be your answer

since you're trying to find the book cost originally you would subtract the total minus the discount to get .8

then you would divide 70/.8 to get your answer of 87.50

The area of the triangle is 43.81 square units

The side a = 8 units

The side b = 11 units

The perimeter of the triangle = 32 units

First we have to find the third side of the triangle

a + b + c = 32

Substitute the values in the equation

8 + 11  + c = 32

19 + c = 32

c = 32 - 19

c = 13 units

Then the area of the triangle = \(\sqrt{s(s-a)(s-b)(s-c)}\)

The value of s = (a + b + c) / 2

= (8 + 11 + 13) / 2

= 32/2

= 16

Substitute the values in the equation

The area of the triangle = \(\sqrt{16(16-8)(16-11)(16-13)}\)

Subtract the terms

= \(\sqrt{(16)(8)(5)(3)}\)

= \(\sqrt{1920}\)

= 43.81 square units

Hence, the area of the triangle is 43.81 square units

The complete question is:

Find the area of a triangle , two sides of which are 8 cm and 11 cm and the perimeter is 32 cm.

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Answer:

\(Q_n=(2000)-(20)P_n\)

Step-by-step explanation:

From the question we are told that:

Initial Quantity demanded Q_1= 200 units

Initial demand price \(P_1=\$90\)

Final Quantity demanded \(Q_2= 1200 units\)

Final demand price \(P_2=\$40\)

Generally the  Demand Equation is mathematically given by

 \(Q_n=a-bP_n\)

Where

a=Other factors affecting price

b=Slope of the demand curve

Therefore

 \(Q_1=a-bP_1\)

 \(200=a-b(90)\)

 \(Q_2=a-bP_2\)

 \(1200=a-b(40)\)

Comparing both above equations

  \(a=2000\)

  \(b=20\)

Therefore the  Demand Equation is mathematically given by

  \(Q_n=(2000)-(20)P_n\)

Answer:

0.70104025x^ 435466207018946428

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

38^9-38^8

Factor out 38 ^8

38^8 ( 38-1)

38^8 * (37)

This shows that it is divisible by 37 since one of the factors is 37

Answer: Similar

Step-by-step explanation:

ik

Answer:

P = (-3,-2)

Q = (-3,-8)

R = (-8,-8)

S = (-8,-2)

Step-by-step explanation:

Answer:

P = (-3,-2)

Q = (-3,-8)

R = (-8,-8)

S = (-8,-2)

Step-by-step explanation:

Answer:

the answer is 2/11

Step-by-step explanation:

hope it helps :)

According to probability, if both families want to sit together, they can be seated in a row a maximum of two times.

The direction that each person is facing is crucial when arranging the people.

In order to determine how many ways they can be seated in a row if both families want to sit together, imagine that two families with four members each attend a movie theatre.

Given that the arrangement is important, we will apply the permutation rule. We'll divide the remaining four into two groups of four each.

There are two different ways to arrange the groups so they can sit together.

2! = 2 * 1

2! = 2ways

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Answer:

5 1/6

Step-by-step explanation:

3/8+5/16x 7 1/2= 5.0625

5.0625 as a fraction:

50625/10000= 81/16= 5 1/6

The result of an average of more than 100% in a survey of tenants on cleaning chores in shared apartments is likely due to social desirability bias.

The average tenant response of more than 100% in a study about cleaning duties in shared apartments is probably the product of social desirability bias. Social desirability bias occurs when respondents give answers that they think are socially acceptable or desirable, rather than their true opinions or behavior.

In this case, tenants may have overstated their contribution to cleaning the apartment, in order to appear more helpful or responsible, leading to an average percentage higher than 100%.

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Answer:

Step-by-step explanation:

y in (-oo:+oo)

(1/3)*y = 15 // - 15

(1/3)*y-15 = 0

1/3*y-15 = 0 // + 15

1/3*y = 15 // : 1/3

y = 15/1/3

y = 45

y = 45

Answer: The answer is five

Step-by-step explanation: This is because if the equasion is 1/3 x y and y=15 than the equasion is 1/3 x 15 or 1/3 x 15/1 which is 5

To convert sin to cos, you can use the identity that relates the two trigonometric functions: cos(x) = sin(x + (π/2)).

So, if you have an expression in terms of sin(x), you can convert it to an expression in terms of cos(x) by replacing sin(x) with sin(x + (π/2)), and then simplifying. Keep in mind that the period of cosine function is 2π, whereas the period of sine function is π. If you want to convert cos(x) to sin(x) you can use the same identity by replacing x with (x + π/2).

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A circle is a curve sketched out by a point moving in a plane. The area of the circular paper is more than the area of the square.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

The arc length of radius 6 inches is equal to,

Length of the Arc of a quarter = 2πr×(1/4) = 2×π×6×0.25 =0.9448 inches

The area of the circular paper = πr² = π×6×6 = 113.097²

The area of the square with a side of 6 inches = 36 in²

Therefore, the area of the circular paper is more than the area of the square.

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Answer:

The answer is B.  (4, 4) is the solution to both lines A and B. I took the test and got 100% your're welcome!

Step-by-step explanation:

Answer:

a) 81

Step-by-step explanation:

Number of sides of the polygon = 6

Sum of angles of the polygon = ( n - 2) * 180

                                                 = (6 - 2) * 180

                                                 = 4 * 180

                                                 = 720

n = 720 - (110 + 108 + 143 + 122 + 156)

  = 720 - 639

n = 81

Answer:

22

Step-by-step explanation:

Answer:

169

Step-by-step explanation:

13² is equal to 13 × 13.

13 × 13 = 169

Answer:

169

Step-by-step explanation:

13 x 13 = 169

Given the growth rates of total factor productivity (2%), capital (1%), and labor (1%), and the elasticities of output with respect to capital (0.2) and labor (0.8), the output is estimated to have grown by 1.6%.

To calculate the growth in output, we can use the formula:

Growth in output = Elasticity of output with respect to capital × Growth rate of capital + Elasticity of output with respect to labor × Growth rate of labor + Growth rate of total factor productivity

Plugging in the values:

Growth in output = 0.2 × 1% + 0.8 × 1% + 2% = 0.002 + 0.008 + 0.02 = 0.03 = 3%

Therefore, the output is estimated to have grown by 3% based on the given information.

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Answer:

This gives us a square with an area of 225 square units.

Step-by-step explanation:

To find the dimensions of the rectangle with the largest area for a given perimeter of 60, we need to use the formula for the perimeter of a rectangle, which is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.

In this case, we know that P = 60, so we can write:

60 = 2l + 2w

Simplifying this equation, we get:

30 = l + w

To find the largest area of the rectangle, we need to maximize the product of the length and the width, which is the formula for the area of a rectangle, A = lw.

We can solve for one variable in terms of the other using the equation above. For example, we can write:

w = 30 - l

Substituting this expression for w into the formula for the area, we get:

A = l(30 - l)

Expanding and simplifying this expression, we get:

A = 30l - l^2

This is a quadratic equation in l, which has a maximum value when l is halfway between the roots. We can find the roots using the quadratic formula:

l = (-b ± sqrt(b^2 - 4ac)) / 2a

In this case, a = -1, b = 30, and c = 0, so we get:

l = (-30 ± sqrt(30^2 - 4(-1)(0))) / 2(-1)

Simplifying, we get:

l = (-30 ± sqrt(900)) / -2

l = (-30 ± 30) / -2

So the roots are l = 0 and l = 30. We want the smaller value first, so we take l = 0 and find w = 30. This would give us a rectangle with zero area, so it is not a valid solution.

The other root is l = 30, which gives us w = 0. Again, this is not a valid solution because we need both dimensions to be positive.

Therefore, the dimensions of the rectangle with the largest area for a perimeter of 60 are:

l = 15 and w = 15

This gives us a square with an area of 225 square units.

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Answer:

$884.34

Step-by-step explanation:

$850.00*2%=$17.00

$850.00+$17.00=$867.00

$867.00*2%=$17.34

$867.00+$17.34=

$884.34

Answer: $850 x 2 = $1700.00

Step-by-step explanation: You just multiply 2 times $850 and you get your answer.