The perimeter of a rectangle is 74 inches. If the length is five more than the width, what are the rectangle's measurements?

Answer:

A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in the natural sciences and engineering disciplines, as well as in non-physical systems such as the social sciences.

Answer:

C

Step-by-step explanation:

Given

10(3x + 2) > 7(2x - 4) ← distribute parenthesis on both sides

30x + 20 > 14x - 28 ( subtract 14x from both sides )

16x + 20 > - 28 ( subtract 20 from both sides )

16x > - 48 ( divide both sides by 16 )

x > - 3 → C

Step-by-step explanation:

+ Both equations

You will get : 5x=13 ; x=13/5

and put x to the first equation

2*13/5-y=4

y=6/5

(13/5;6/5)

Answer is C

Since the two linear relations are parallel to each other, no solution to the system exists. Hence, Samia's conclusion is correct.

A system of equations, involving two linear lines has solutions as follows:

In the question, we are informed that Samia created the given tables for a linear system, and concluded that no solution exists for the system.

We are asked to comment on her conclusion.

To check for her conclusion, we calculate the slopes of both the lines to check whether the relations are parallel or not, as, for parallel relations, the slopes are equal.

Slope can be calculated using the formula, m = (y₂ - y₁)/(x₂ - x₁), when (x₁, y₁), and (x₂, y₂) are the points on the line.

Thus, the slope for:-

Relation 1, is m₁ = (22 - 8)/(4 - (-3)) = 14/7 = 2.

Relation 2, is m₂ = (12 - (-2))/(4 - (-3)) = 14/7 = 2.

Since the slope of the two relations is equal, that is, m₁ = m₂, and they are not coinciding with each other, we can say that the two relations are parallel to each other.

Since the two linear relations are parallel to each other, no solution to the system exists. Hence, Samia's conclusion is correct.

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Answer:

Not enough information

Step-by-step explanation:

Similar triangles must have congruent corresponding angles and proportional corresponding sides.

Answer:

not enough information

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and d = - 3 , then

[tex]a_{n}[/tex] = 8 - 3(n - 1) = 8 - 3n + 3 = - 3n + 11 → D

Answer:

Initial speed is 32 m/s

At uniform speed, acceleration is 0, (a = 0).

When speed reduced, (v - u) = 2.78 ms-¹, t = 1800 sec, s = 60 ,000 metres.

From first equation of motion:

[tex]{ \boxed{ \bf{v = u + at}}} \\ { \tt{(v - u) = at}}[/tex]

substitute:

[tex]{ \tt{2.78 = (a \times 1800)}} \\ { \tt{acceleration = 0.0015 \: {ms}^{ - 2} }}[/tex]

from second equation of motion:

[tex]{ \boxed{ \bf{s = ut + \frac{1}{2} a {t}^{2} }}}[/tex]

substitute:

[tex]{ \tt{60000 = 1800u + ( \frac{1}{2} \times 0.0015 \times {1800}^{2}) }} \\ { \tt{1800u = 57570}} \\ { \tt{u = 32 \: m {s}^{ - 1} }}[/tex]

Answer:

Step-by-step explanation:

7(x-2) -3(x+3) = 5(x-3) +x , distribute in parenthesis

7x -14 -3x -9 = 5x -15 +x , isolate like terms

7x -3x -5x -x = 14 +9 -15, combine like terms

-2x = 8, divide both sides by -2

x= -4

Answer:

y=11x+12

Step-by-step explanation:

y = 6(x + 2) + 5x

y=6x+12+5x

y=11x+12

in slope interception form=  y=mx+c

                                                y=11x+12

Answer:

[tex]{ \tt{ {3x}^{2}(5 {x}^{3} ) = 15 {x}^{5} }}[/tex]

Step-by-step explanation:

[tex]{ \sf{3 {x}^{2}(5 {x}^{3} )}} \\ = { \sf{ {x}^{5} (3 \times 5)}} \\ = { \sf{15 {x}^{5} }}[/tex]

Answer:

The equation 31=2c-7 to determine the number of points Carlos scored in the last game.

Step-by-step explanation:

We are given with,(I think every number is repeating for 3 times. So, I took each number as once)

Fabio had 7 less than 2 times as many points as Carlos. And Fabio score 31 points.

Let Carlos scored in the last game as "C".

So, we can set up equation for Fabio had 7 less than 2 times Carlos as

Fabio= 2C-7

Like so for Fabio score 31 as

Fabio =31

So, substitute Fabio as 31 into the first equation, we get

31= 2c-7

So, the equation 31=2c-7 to determine the number of points Carlos scored in the last game.

Answer:

y = 5/3x+2

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

   = ( -3 - -8)/( -3 - -6)

    = ( -3+8) / (-3+6)

    = 5/3

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

Substituting the point (-3,-3)

-3 = 5/3(-3) + b

-3 = -5+b

-3+5 = b

2 = b

y = 5/3x+2

Given points

First find the slope

[tex]\boxed{\sf m=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{-3+8}{-3+6}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{5}{3}[/tex]

Now

[tex]\boxed{\sf y=mx+b}[/tex]

[tex]\\ \sf\longmapsto -3=\dfrac{5}{3}(-3)+b[/tex]

[tex]\\ \sf\longmapsto b=2[/tex]

Hence the equation will be

[tex]\\ \sf\longmapsto y=\dfrac{5}{3}x+2[/tex]

Answer:

4,200 m or 4.2 km.

First bus: 2400 m

2nd bus: 1800 m.

Step-by-step explanation:

Their combines speed is 20+15 = 35m/s.

Distance = speed * time

2 minutes = 120 seconds so

D = 35 * 120

= 4200 m.

Splitting the distances:

The first bus covers 20 * 120 = 2400m

The second bus covers 15*120 = 1800m.

Answer:

4200m

Step-by-step explanation:

If two objects A and B are moving in the opposite direction with speed xm/s and ym/s respectively,then;

Relative speed =(x+y)m/s

: Relative speed = 20+15=35m/s

time =2min=160sec

DISTANCE=SPEED ×TIME

D=35×120=4200

4200m

Answer:

this would be towards the front and the very end

question 3

Step-by-step explanation:

i only able to show you the step of question 3..so sorry

Answer:

B. 56

Step-by-step explanation:

x + (x + 7 ) + ( x + 14 ) + ( x + 21 ) + ( x + 28 ) = 350

( x + x + x + x + x ) + ( 7 + 14 + 21 + 28 ) = 350

5x + 70 = 350

     - 70    - 70

_____________

5x = 280

x = 56

Hope this helps!

The smallest number is 56, the correct option is B.

The sum is the output of the mathematical operation, Addition.

Let the first number is x, they are multiples of 7,

As they are multiples of 7, the consecutive numbers will be added by 7 for next term.

The 5 consecutive numbers can be written as x, (x+7), (x+14), (x+21), (x+28).

The equation can be formed for the numbers that are given as,

An equation is a mathematical statement that relates an algebraic expression with other expression by an equal sign.

The sum of the multiples is 350

x + (x + 7 ) + ( x + 14 ) + ( x + 21 ) + ( x + 28 ) = 350

Grouping the variables and the constants separately

( x + x + x + x + x ) + ( 7 + 14 + 21 + 28 ) = 350

5x + 70 = 350

Adding (-70) to both sides of the equation

5x = 280

Dividing both sides by 5

x = 56

The value of the first number of the series is obtained.

The first value is the smallest number of the series.

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Answer:i would say 2 differentt teams where there is more then women than men in the team

Step-by-step explanation:

well how i came to this answer is that the team is limited to only 5 people giving the only team where there is more women over men is this first team would be 4 women and 1 men , second team would be 3 women and 2 men anything lower then 3 make its where the team has more men than women so the only options would be 2 team where either they go with 4 women or 3 women and you can't go with more then 4 because then there would be no men in the team which is what the question asks for please go with 2 teams

if this helps please make me brainlist ?!

Answer:

answer is neither, they are both the same shade.

Step-by-step explanation:

if she doubled the colors exactly then it wouldn't be any different. Also IXL told me I'm right :)

Answer:

Neither.

Step-by-step explanation:

Originally, she used the same amount. For the second one, she used double the same amount, but it was still the amount of red wax as of white wax. So, they both had the same amount, which means it is neither.

Answer:

Base of the ladder is 3 meters away from the building.

Step-by-step explanation:

Let's use Pythagoras theorem to solve.

Pythagoras theorem says,

[tex]a^{2} +b^{2} =c^{2}[/tex]

Here let horizontal distance is "a''

Vertical distance of window is 4 m

So, b=4

The Rafi leans 5 m ladder against the wall. So, c=5.

[tex]a^{2} +4^{2} =5^{2}[/tex]

Simplify it

[tex]a^{2} +16=25[/tex]

Subtract both sides 16

[tex]a^{2} =9[/tex]

Take square root on both sides

a=±3

So, base of the ladder is 3 meters away from the building.

[tex]\\ \sf\longmapsto 1+tan^2A[/tex]

[tex]\boxed{\sf tanA=\dfrac{sinA}{cosA}}[/tex]

[tex]\\ \sf\longmapsto 1+\dfrac{sin^2A}{cos^2A}[/tex]

[tex]\\ \sf\longmapsto \dfrac{cos^2A+sin^2A}{cos^2A}[/tex]

[tex]\boxed{\sf cos^2A+sin^2A=1}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{cos^2A}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{1-sin^2A}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{1}-\dfrac{1}{sin^2A}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{sin^2A}[/tex]

Hence verified

Answer:

A possible answer could be 2√2. It depends where points B and C would be. I guess this information was given in the parts A and B.

Step-by-step explanation:

See picture attached

Answer:

¼ và 2017

Step-by-step explanation:

Answer:

as it is cbe the volume of cube is l*l*l

Step-by-step explanation:

the answercis 5*5*5= 125

Answer:

98°+62°+6x = 180

160+6x = 180

6x = 180 - 160

6x = 20

x= 20/6

x= 3.33

therefor your answer is 3.33

Answer:

1437.33 cm square

Step-by-step explanation:

Now we will use the frmula to et the volume of a sphere

volume of sphere is

4÷3pi r cube

where r is the radius of the sphere

[tex]\boxed{\sf sin\Theta=\dfrac{P}{H}}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{16}{26}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{8}{13}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=0.5[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{5}{10}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{1}{2}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=sin30[/tex]

[tex]\\ \sf\longmapsto \Theta\approx30°[/tex]

Answer:

It can be the line of best fit because it closely fits the data points.

Step-by-step explanation:

The line is near the data points and goes down from left to right just like the data points.  It is just above or just below the data points.

Answer:

guy above is right

Step-by-step explanation:

Answer:

True. The statement is also equivalent to: If m<B + m<C does not equal m<D, then m<A does not equal m<B and m<A + m<C is not equal to m<D.