solve 5x + 15< 60. and give me a step by step on how you solved it

We can describe the parts as product of 5 and variable x and subtraction of 3 from it from the concept of algebraic equation.

Here we use the concept of an algebraic equation, it is the equation in which there are constants, variables, and some products. It also applies mathematical operations like addition, multiplication, subtraction, and Division.

Now given equation is the 5x-3 so it implies

There is an unknown number x which is multiplied by 5 and then from the product of unknown 5 and x, three is subtracted.

So we can summarize it in a way that it is the difference between five times a number and three.

Hence this expression can be formulated as the difference of product of 5 and variable x  and constant number 3.

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17.5mph

420÷24= 175

Hope this helped you- have a good day bro cya)

Answer:

17.5mph

Step-by-step explanation:

Answer: Y = -X+5

Step-by-step explanation:

Answer in fraction form: x = 55/4

Answer in decimal form: x = 13.75

Both forms are equivalent, but they say it in a slightly different way.

===========================================================

Work Shown:

AC/QY = CD/YW

(x+5)/15 = 5/4

4(x+5) = 15*5

4x+20 = 75

4x = 75-20

4x = 55

x = 55/4

x = 13.75

------------

Explanations:

To estimate the divergence of the vector field vector f at the point (2, 7, 9), we can use the Divergence Theorem. The theorem states that the flux of a vector field through a closed surface is equal to the volume integral of the divergence of the vector field over the enclosed volume.

In this case, we are given the flux of vector f out of a small cube of side 0.01 centered around the point (2, 7, 9) as 0.003. This means that the flux through the cube's six faces is 0.003. Since the cube is small, we can approximate it as a point source, and the flux through the cube is proportional to the divergence of the vector field at that point.

Therefore, we can estimate the divergence of vector f at (2, 7, 9) as 0.003 divided by the volume of the cube. The volume of the cube is (0.01)^3 = 0.000001, so the estimated divergence is 3. This means that the vector field is spreading out from the point (2, 7, 9) with a magnitude of 3 units per unit volume.

Note that this is only an estimate since the cube is small, and the divergence may vary significantly over larger volumes. However, this calculation gives us a rough idea of the divergence at the point of interest.

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Lower class limits are 15, 25, 35, 45, 55, 65, 75, Upper class limits are 24, 34, 44, 54, 64, 74, 84, Class width are 10 (all classes have a width of 10), Class midpoints are 19.5, 29.5, 39.5, 49.5, 59.5, 69.5, 79.5, Class boundaries are [15, 25), [25, 35), [35, 44), [45, 54), [55, 64), [65, 74), [75, 84) and Number of individuals included in the summary is 76.

Here are the details for the given frequency distribution:

Lower class limits are the least number among the pair

Here, Lower class limits are 15, 25, 35, 45, 55, 65, 75 respectively.

Upper class limits are the greater number among the pair

Here, upper limit class are 24, 34, 44, 54, 64, 74, 84 respectively.

Class width is the difference between the Lower class limits and Upper class limits which is 10 (all classes have a width of 10).

Class midpoints is the middle point of the lower class limits and Upper class limits which is 19.5, 29.5, 39.5, 49.5, 59.5, 69.5, 79.5 respectively.

Class boundaries are the extreme points of the classes which are  [15, 25), [25, 35), [35, 44), [45, 54), [55, 64), [65, 74), [75, 84) respectively.

Number of individuals = 27 + 33 + 14 + 4 + 6 + 1 + 1

                                     = 76

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Answer:

C) 2

Step-by-step explanation:

14 = 4x + 6

14 - 6 = 4x

8 = 4x

8/4 = x

2 = x

Therefore, the area of the triangle is 3/2 square units.

a) One possible parameterization for the triangle surface is:

→r(u,v) = (1 - u - v)A + uB + vC, where 0 ≤ u ≤ 1 and 0 ≤ v ≤ 1-u.

b) To find a normal vector →N, we can compute the cross product of two vectors lying on the triangle surface, for example:

→N = AB x AC = (-2, 1, 2)

Note that there are other possible choices for →N, since any non-zero scalar multiple of →N is also a valid normal vector for the triangle surface.

c) The area of the triangle can be computed as:

Area = ∬ds = ∬ |→N| dudv = |→N| ∬dudv

Since |→N| = sqrt(2^2 + 1^2 + 2^2) = 3, we have:

Area = 3 ∬dudv

Using the given ranges for u and v, we can evaluate the double integral as:

Area = 3 ∫0^1 ∫0^(1-u) dudv = 3 ∫0^1 (1-u)du = 3/2

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The product of x * 5 * 5 is 25x.

The product of 1 * 3 * 3 * 5 is 45.

The product of 1/3 * 2 * 5 is 10/3 or 3.33 (rounded to two decimal places).

To find the product of expressions, you multiply the numbers or variables together according to the given expression.

1. Product of x * 5 * 5:

To find the product of x, 5, and 5, you multiply them together:

x * 5 * 5 = 25x

2. Product of 1 * 3 * 3 * 5:

To find the product of 1, 3, 3, and 5, you multiply them together:

1 * 3 * 3 * 5 = 45

3. Product of 1/3 * 2 * 5:

To find the product of 1/3, 2, and 5, you multiply them together:

1/3 * 2 * 5 = (1 * 2 * 5) / 3 = 10/3 or 3.33 (rounded to two decimal places)

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The component form of the vector that translates A to A' is (11, -17)

A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.

In translation, the shape of the figure does not change but its size may change.

Other transformation processes are reflection and rotation.

The component form of the vector is governed by the rule; A' - A

so we subtract corresponding x- coordinates and corresponding y- coordinates

A' - A = (7, -9) - (-4, 8)

       = ( 7 - - 4, -9 - 8)

       -= ( 11, -17)

In conclusion, the vector that translates A to A' is ( 11, -17 )

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Answer:

A.   x = 0, 14

B.   x = 12, -2

Step-by-step explanation:

A.

2x - 3       x + 6

    /      =      /

 x + 1        x - 2

 2x^2 - 7x + 6  =  x^2 + 7x + 6

-  x^2 - 7x - 6   -  x^2 - 7x - 6    

x^2 - 14x = 0        

( x + 0 ) = 0     ( x - 14 ) =  0

x = 0,                    +14     +14

                                x = 14

-----------------------------------------------------

B.

2               x

/     =         /

x          5x + 12

x^2 = 2( 5x + 12 )

x^2                   = 10x + 24

     - 10x - 24    - 10x - 24

x^2 - 10x - 24 = 0

( x - 12 ) = 0      ( x + 2) = 0

    +12     +12         -2     -2

x = 12,               x = -2

I hope this helps!

Answer:

x=5

Step-by-step explanation:

11^X=11²×11³

11^X=11^5

x=5

Answer:

Anwer is x=5

Step-by-step explanation:

11^x-3=11

11^x-3= 121

x-3=2

add 3 both side

x=5 help this help 5 star please :)

The probability of finding 0 contaminated pieces in  225 g of chocolate is 5.57 X 10⁻⁷.

Here the number of contaminated fragments follows a Poisson process. Hence, let the distribution for the same be X.

Hence we get X ~ Poi(λt)

where λ is the mean no. of contaminated pieces and t is the no. of bars consumed.

For P(X = x) we get [(λt)ˣ  e^(-λt)]/x!

Here λ = 14.4 and t = 1 Hence we will get

P(X = x) = [(14.4)ˣ e⁻¹⁴°⁴]/x!

Here we need to find the probability of the no. of contaminated pieces = 0

Therefore

P(X = 0) = [(14.4)⁰ e⁻¹⁴°⁴]/0!

Hence the probability of finding 0 contaminated pieces in a bar of chocolate is

P(X = 0) =  e⁻¹⁴°⁴

= 5.57 X 10⁻⁷

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Answer:

Step-by-step explanation:

The equation is actually y=mx+b

M is the slope

B is the Y-intercept

Y=14x+b

Answer:

y = 14x

Step-by-step explanation:

equation: y = mx

Slope(m) = 14

Since the line passes through the origin, there is no y-intercept, so the equation is in y = mx form. Since we're given the slope(m), all we have to do is rewrite the equation with the given value of m:

y = 14x

Answer:

yeah it is 9/16 you just need to subtract 7 from 16 and you get nine, you dont need to change the denominater.

Answer:

7/16 girls

all students are represent by1

boys=1-7/26(girls)

The estimated price for a 500-page book is $5.45  which is evaluated by using 0.05 level of significance.

To check on the off chance that there's a relationship between the number of pages and the bookshelf, we are able to perform a basic straight relapse analysis. 

Using statistical software or a calculator, we can find that the regression equation is:

y = 2.35 + 0.0063x

where y is the price and x is the number of pages.

A theory test can be performed to test whether there's a critical relationship between x and y. 

Null hypothesis:

There is no significant linear relationship between page count and book price.

Alternative hypothesis:

There is a significant linear relationship between page count and book price.

You can compute the t-statistic and corresponding p-value using a significance level of 0.05. With 5 degrees of freedom, the critical t-value is ±2.571.

Computing the t statistic gives:

\(t = (r * sqrt(n - 2)) / sqrt(1 - r^2)\)

where r = correlation coefficient and n = sample size. From the data we found:

r = 0.668

n=7

Plugging in these values ​​gives:

t = (0.668 * square (7 - 2)) / square (1 - 0.668^2) = 2.56

The calculated t-value (2.56) is within the critical t-value (±2.571), so we cannot reject the null hypothesis.

This implies that there's not sufficient proof to conclude that there's a noteworthy straight relationship between book page count and price.

Be that as it may, you'll be able to utilize a relapse condition to assess the cost of a 500-page book.

 y = 2.35 + 0.0063 (500) = $5.45

therefore, the estimated price for a 500-page book is $5.45.

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Answer:

0 pounds

Step-by-step explanation:

Answer:

8-√5

I hope this is good enough:

The conjugate of a two-term expression is just the same expression with subtraction switched to addition or vice versa.

Answer:

for question one - x = 12

Step-by-step explanation:

a triangle is always 180, in other words you will add all the corners equal to 180

ex (for first question) - 7x -2 + 4x + 5x - 10 = 180

you add like terms, the x with x and single numbers with numbers, which results in 16x - 12 = 180. then you do the original operation "what you do to one sign of the equal side you do to the other"

Answer: x=-1, y=2, z=-3

Step-by-step explanation:

[1]    2x + 3y - 4z = 16

  [2]    -x + 2y - z = 8

  [3]    2x - y - 2z = 2

Solve by Substitution :

Solve equation [3] for the variable  y

 [3]    y = 2x - 2z - 2

Plug this in for variable  y  in equation [1]

    2x + 3•(2x-2z-2) - 4z = 16

    8x - 10z = 22

Plug this in for variable  y  in equation [2]

    -x + 2•(2x-2z-2) - z = 8

      3x - 5z = 12

Solve equation [2] for the variable  x

 3x = 5z + 12

     x = 5z/3 + 4

Plug this in for variable  x  in equation [1]

   8•(5z/3+4) - 10z = 22

    10z/3 = -10

    10z = -30

Solve equation for the variable  z

    10z = - 30

   z = - 3

By now we know this much :

   x = 5z/3+4

   y = 2x-2z-2

   z = -3

Use the  z  value to solve for  x

   x = (5/3)(-3)+4 = -1

Use the  x  and  z  values to solve for  y

 y = 2(-1)-2(-3)-2 = 2

Answer:

Step-by-step explanation:

Answer:

1. A

2. B

3. B

Step-by-step explanation:

1. 180+57-94= 29

2. 4x + 7 + 97 + 180 - 17x - 13 = 180

-13x = -91

x = 7

3. 180 - 64-38 = 78

180-78 =. 102

Answer:

A) 29°

B) 7°

B) 102°

Step-by-step explanation:

1. ------------------------

2.  ------------------------

3.  ------------------------

Answer:

the answer is A

Step-by-step explanation:

hope it helped

The derivative of of f(x) = 10 is 0

The derivative of a function is the measure of the rate of change of the function. They are fundamental to the solution of problems in calculus and differential equations.

Here the function is not changing as 10 is a constant. So, if f(x) = c where c is a constant then f'(x) = 0 as the derivative of a constant is always zero.

Mathematically:

           d(f(x))/dx = \(\lim_{h \to 0}\) (f(x+h) - f(x))/h

There  is no x to substitute for x + h so no difference is noticed:

             \(\lim_{h \to 0}\) (f(x+h) - f(x))/h =   \(\lim_{h \to 0}\) (10 - 10)/h = 0

Hence, the derivative of f(x) = 10 is 0

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To find the quotient of P(x) and D(x) using long division, we have to divide

\(10x^3 + x^2 - 21x + 9 by 5x - 7.\)

Long division is a method of dividing polynomials and it's used to find the quotient and the remainder when dividing one polynomial by another.

The dividend is written in decreasing order of powers of the variable.

Divide \(10x^3 by 5x to get 2x^2\),

then write this above the line.

Multiply \(2x^2 by 5x - 7\) to get\(10x^3 - 14x^2\).

Write this below the first polynomial.

Subtract \(10x^3 - 10x^3\) to get 0 and

\(-21x - (-14x^2)\) to get \(-21x + 14x^2\).

Bring down the next term which is 9.

Multiply\(2x^2 by 5x\) to get\(10x^2\)

write this above the line.

Multiply \(2x^2\) by -7 to get -14x, then write this below the second polynomial.

Add -21x and 14x^2 to get \(14x^2 - 21x\).

Subtract -14x and -14x to get 0, then bring down the next term which is 9.

Divide \(14x^2\)by 5x to get 2x, then write this above the line.

Multiply 2x by \(5x - 7\) to get \(10x - 14\).

Write this below the third polynomial. Subtract 9 and -14 to get 23. Since 23 is a constant,

\(P(x) =\)\(10x^3 + x^2 - 21x + 9D(x) = 5x - 7\)and

\(P(x)/D(x) = Q(x) + R(x)/D(x)= 2x^2 + 2x - 3 + 23/(5x - 7).\)

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