which equation, when solved, gives 8 for the value of x?

a. 5/2x + 7/2 = 3/4x + 14
b. 5/4x - 9 = 3/2x - 12
c. 5/4x - 2 = 3/2x - 4
d. 5/2x - 7 = 3/4x + 14

Complete Question:

You plant an 8-inch spruce tree that grows 4 inches per year and a 14-inch hemlock tree that grows 6 inches per year.

The initial heights are shown.

Write a system of linear equations that represents this situation.

Answer:

[tex]s(x) = 8 + 4x[/tex]

[tex]h(x) = 14 + 6x[/tex]

Step-by-step explanation:

Given

Spruce Tree (s):

[tex]Initial\ Height = 8[/tex]

[tex]Growth = 4[/tex] (yearly)

Hemlock Tree (h):

[tex]Initial\ Height = 14[/tex]

[tex]Growth = 6[/tex] (yearly)

Required

Represent as system of linear equations

Let the number of years be x.

In both cases, the equation can be formed using:

[tex]Equation = Initial\ Height + Growth * x[/tex]

For Spruce Tree (s):

[tex]s(x) = 8 + 4 * x[/tex]

[tex]s(x) = 8 + 4x[/tex]

For Hemlock Tree (h):

[tex]h(x) = 14 + 6 * x[/tex]

[tex]h(x) = 14 + 6x[/tex]

Hence, the equations are [tex]s(x) = 8 + 4x[/tex] and [tex]h(x) = 14 + 6x[/tex]

The length of the scale model of the car is 120 cm

From the question, we have the following parameters that can be used in our computation:

Length of a car = 3.6 meters

We have the scale to be

Scale = 1 cm to 30 cm

This means that

Scale = 1 cm : 30 cm

using the above as a guide, we have the following:

Scale : 3.6 meters = 1 cm : 30 cm

So we have

Scale = 3.6 m * 1 cm/30 cm

Evaluate

Scale = 0.12 m

Convert to cm

Scale = 120 cm

Hence, the length of the scale model of the car is 120 cm

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Answer:

9 in and are not

Step-by-step explanation:

Answer:9 are not

Step-by-step explanation:big brain

Answer:

it is 0

Step-by-step explanation:

hope it helps <3

Using the slope concept, it is found that this graph has a slope of 0.

Given two points (x,y) on a linear graph, the slope is given by the change in y divided by the change in x, that is:

[tex]m = \frac{\Delta_y}{\Delta_x}[/tex]

In this question, two of the points are: (1, 1.5) and (2, 1.5). Then, the slope is:

[tex]m = \frac{\Delta_y}{\Delta_x} = \frac{1.5 - 1.5}{2 - 1} = \frac{0}{1} = 0[/tex]

This graph has a slope of 0.

A similar problem is given at https://brainly.com/question/5029023

Answer:140

Step-by-step explanation:

Answer:multiply the 2 to the # in the () then boom done

Step-by-step explanation:

Answer:

2x + 5 = 3

Step-by-step explanation:

2x + 5 = x = -2 + 5

x = 3

Answer:

x = 5

Step-by-step explanation:

3x + 15 = 6x

Solve using inverse operations

3x + 15 = 6x

-3x          -3x

15 = 3x

/3     /3

x = 5

Answer:

Step-by-step explanation:

Rectangle with sides

Perimeter is

Triangle with sides

Perimeter is

The difference in perimeters is the difference is fencing:

Since it is different from 7x - 37 the statement is FALSE

Garden A is surrounded by a path of 2.5 ft wide

It will have the perimeter added by 2.5*2*4 = 20 ft as each side is extended by 2*2.5 ft = 5ft

So the perimeter is going to be:

This statement is TRUE

Answer:

A function is a relation that is either

So, That pic is cramped, don't even know what functions are being referenced but

from the a, b, c, d relation

From the equations

From the graph

From the points

Answer:

its c i think

Step-by-step explanation:

flip it around to where the right angles are in the same spot

Answer:

time(t)=distance(13.1)/speed (s)

hope this helps

MARK AS BRAINLIEST

MARK AS BRAINLIEST

Answer:

Time=distance/average speed

Step-by-step explanation:

Example:

Average speed: 13.1 miles per hour

Distance: 13.1 miles

Time: x

X= distance/speed

X= 13.1/13.1

X=1

Search for Speed/Time/Distance   (Physics)

Answer:

-19

Step-by-step explanation:

Answer:

-19

Step-by-step explanation:

replace x with seven then simplify

Answer:

118 r0

Step-by-step explanation:

590/5=118

there is no remainder

hope this helps :3

if it did pls mark brainliest

Answer:

y = 1/4 x - 31/4

Step-by-step explanation:

Slope (m) = 1/4

Point A (-1, -8)

y = mx + b

-8 = 1/4 (-1) + b

-8 + 1/4 = b

b = -32/4 + 1/4

b = -31/4

y = mx + b <-- this is a linear equation, continuing line, so there are infinite values for x and y. Therefore we don't have to plug the values of x and y in

y = 1/4 x + - 31/4

y = 1/4 x - 31/4

Answer:

3

Step-by-step explanation:

The linear function or equation in the slope-intercept form will be y = -4x - 5.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

The linear function is given as,

y = mx + c

Here, m is the slope while c is the y-intercept.

Slope m = (-13 + 9)/(2 - 1)

m = -4

Put m = -4, (1,-9)

-9 = -4(1) + c

c = -5

y = -4x - 5

Hence "The linear function or equation in the slope-intercept form will be y = -4x - 5".

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Answer:

(0,-2) and (1,1)

Step-by-step explanation:

The solution points at the intersection of what is above the orange line and belothe blue line.

(-5, 5) is only in the orange zone so X

(0,3) is on the blue line that is doted so X

(0,-2) is on the orange line that is solid so ✅

(1,1) is in the orange and blue so ✅

(3,-4) is in the blue zone only so X

Answer:

hoi

Step-by-step explanation:

Answer:  Please look at the steps to see the answers.

Step-by-step explanation:

The line y= 2 has a slope of 0 meaning that for any input of x  the results will always be 2.

This means the the graph will be a horizontal line through the point, (0,2)

You can also use this table to graph it;

x         y  

0          2

1            2

2            2

3            2

4            2

5            2

6            2

-1           2

-2          2.

Answer:

Step-by-step explanation:

[tex]\frac{1}{2}(x+15) = 2 + \frac{3}{4}(x-4)[/tex]

To make this easier, to get ride of the fractions, we can multiply both sides by 4

[tex]2(x+15) = 8 + 3(x-4)[/tex]

now use the distributive property

[tex]2x + 30 = 8 + 3x - 12\\[/tex]

now we want to isolate x to one side and isolate all the constants to the other

[tex]2x - 3x = 8 - 12 - 30\\[/tex]

now simplify

[tex]-x = -34\\x = 34[/tex]

to test, we can plug in back to the original

[tex]\frac{1}{2}(34+15) = \frac{49}{2}\\\frac{8}{4} + \frac{3}{4}(34-4) = \frac{8}{4} + \frac{90}{4} = \frac{98}{4} = \frac{49}{2}[/tex]

it works

Answer:

b=100 and c=100

Step-by-step explanation:

Because 100 is across a no value which is also 100 because they are the same and the b and c sides too so they both are 100

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[tex]100° + b = 180°[/tex]

Because they make straight line.

Also ;

[tex]100° + c = 180°[/tex]

Thus :

[tex]b = c[/tex]

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[tex]100° + b = 180°[/tex]

Subtract sides 100°

[tex] - 100° + 100° + b = 180° - 100° \\ [/tex]

[tex]b = 80°[/tex]

So ,

[tex]b = c = 80°[/tex]

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Answer:

2 and - 1

Step-by-step explanation:

Calculate the gradients using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, -3) and (x₂, y₂ ) = (3, 7) ← 2 points on line A

[tex]m_{A}[/tex] = [tex]\frac{7+3}{3+2}[/tex] = [tex]\frac{10}{5}[/tex] = 2

with (x₁, y₁ ) = (- 2, 7) and (x₂, y₂ ) = (7, - 2) ← 2 points on line B

[tex]m_{B}[/tex] = [tex]\frac{-2-7}{7+2}[/tex] = [tex]\frac{-9}{9}[/tex] = - 1

Answer: 6/9

Step-by-step explanation:

1) 2/3 + 3/4=5/7

2) 1/2+5/7=6/9

3) Did this help

Answer:

The answer on the right bottom

Step-by-step explanation:

3/4 × 1/2 = 3/8

None of them have 3 shaded but the right bottom

Therefore that'd be your answer

Answer:

bottom right

Step-by-step explanation:

In order to know the answer, you have to find the product of [tex]\frac{3}{4}[/tex] x [tex]\frac{1}{2}[/tex].

Multiply both numerators and denominators in order to get the answer.

[tex]\frac{3}{4}[/tex] x [tex]\frac{1}{2}[/tex] = [tex]\frac{3}{8}[/tex] (this is the lowest term already)

If you check among the choices, it is only the bottom right choice that shows correct shading of the fraction. The diagram divides the right side into 4 equal parts. If you divide the left side into 4 equal parts like this, you'll surely get 8 equal parts of the total diagram. This represents the denominator, 8. The shaded portion represents the numerator, 3.

You mean like graph? Yeah.

Write in Function form

[tex]\frac{y-3}{x-6}=2\\y-3=2(x-6)\\y=2(x-6)+3\\y=2x-12+3\\y=2x-9[/tex]

So (y-3/x-6)=2 does represent "line"

[tex]\frac{y-6}{x-4}=5[/tex]

multiply x-4 all side.

[tex]y-6=5(x-4)[/tex]

Notice how the equation is similar to "Tangent" so it's clearly a line.

About reasoning, No idea how to explain but this might help...

Whenever you get rid of the fraction part, it'll leave only y-f(a)=f'(a)(x-a) which is a Tangent Line (It explains it.)

And when you simplify in Function Form, you'll get an exact linear function  "[tex]y=mx+b[/tex]"

Answer:

The amount of water leaking per hour is 3/4 of the bucket volume

Step-by-step explanation:

The given parameters are;

The volume of water in the bucket = 3/10 of the bucket volume

The time duration of the leak = 2/5 hour

Therefore;

The leak rate = Volume/Time

The amount of water leaking per hour = (3/10 of the bucket volume)/(2/5 hour)

The leak rate = The amount of water leaking per hour = 3/4 of the bucket volume/hour.

The amount of water leaking per hour is  [tex]\frac{3}{4}[/tex] of the bucket volume.

Given ;

The volume of water in the bucket =  [tex]\frac{3}{10}[/tex] of the bucket volume

The time duration of the leak =  [tex]\frac{2}{5}[/tex] hour

Therefore;

The leak rate = [tex]\frac{volume }{time}[/tex]

The amount of water leaking per hour = ( [tex]\frac{3}{10}[/tex] 0f the bucket volume)/([tex]\frac{2}{5}[/tex] hour)

                                                                =  ( [tex]\frac{3}{10} . \frac{5}{2}[/tex] ) volume per hour

The leak rate = The amount of water leaking per hour = 3/4 of the bucket volume per hour.

For more details about volume and rate change click the link given below.

https://brainly.com/question/15184412

Answer:b,e,f

Step-by-step explanation:

The correct equations are:

B) 0.4 = 2/5

D) 0.7 = 7/9

E) 0.83 = 5/6

To determine which of the following equations is correct, we need to compare each decimal value to its equivalent fraction. Here are the correct equations:

B) 0.4 = 2/5

D) 0.7 = 7/9

E) 0.83 = 5/6

B) 0.4 is equivalent to 2/5 because 0.4 means 4 tenths, and 2/5 also represents 4 tenths (2 parts out of 5).

D) 0.7 is equivalent to 7/9 because 0.7 means 7 tenths, and 7/9 also represents 7 tenths (7 parts out of 9).

E) 0.83 is equivalent to 5/6 because 0.83 means 83 hundredths, and 5/6 also represents 83 hundredths (5 parts out of 6).

The remaining options (A, C, and F) are not correct as their decimal values do not match their corresponding fractions.

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Answer:

1. x is greater than -1

2. x is less than or equal to -1

3. x greater than or equal to -1

4. x is less than -1

Step-by-step explanation:

The filled in dots means it could be equal to, non-filled dots mean it can only be greater or less. When the variable is first, look at the direction of the line

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