5. Solve for x using the model below* Enter your answer as a number
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Step-by-step explanation:

Change each number to an improper fraction.

Simplify if possible.

Multiply the numerators and then the denominators.

Put answer in lowest terms.

Check to be sure the answer makes sense.

Answer:

Controlled experiment

The method of data collection used by the federal government agency is controlled experiment.

A controlled experiment can be defined as an experiment under which an independent variable is constantly manipulated in order to evaluate its effects on other dependent variables.

The experiment conducted on 750 vehicles by federal government agency to determine the relationship between weight of the vehicle and its fuel economy  is a controlled experiment since the effects of weight of vehicles is observed on their fuel economy, other things remaining constant.

The fuel economy changes with the change in weight of the vehicle. The vehicle weight therefore affects the fuel economy or average MPG of the vehicle.

Therefore the method of data collection used is controlled experiment.

Learn more about controlled experiment here:

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Answer:

D

Step-by-step explanation:

Find the slope using the formula [ y2-y1/x2-x1 ]

2-2/-5-3

0/-8

0

Find the y-intercept using slope-intercept form [ y = mx + b ] and (3, 2)

y = 0x + b

2 = 0(3) + b

2 = b

Put everything we know into the final form.

y = 0x + 2

y = 2

Best of Luck!

change in y/change in x

y2-y1/x2-x1

2-2/-5-3

0/-8 = 0

The slope is 0 - the answer is d

because when 0x = 0, then you are left with y and only y

when the equation is x=, then the equation is undefined

but, when an equation is y=, that the slope is 0

Answer:

It slopes downward from left to right. You can see the downward slope of that gender, which starts at the left and moves to the right.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Put x = -3, y = 4 and w = -6 to the expression xy/w = (xy) : w

(-3 · 4) : (-6) = -12 : (-6) = 2

Answer:

1. 18

2. 0.36

3. 3. 57

4. -7. 36

Answer:

C. -3

Step-by-step explanation:

First, you would subtract 2m on both sides in the first equation, to get 6m = -6. Since you wan to find 3m, just divide -6 by 2 to get -3.

Answer:

$3.00 is the constant

Step-by-step explanation:

let x be the mile driven then

total charge=$3.00+[x($0.30)]

Answer: Yes; 63 • 73 is equal to (6 • 7)3 or 423.

Step-by-step explanation:This is the answer because if you multiply the 6 and 7 you get 42 and you leave the exponent which in this case is 3 leaving you with 42^3

Answer:vertical

Step-by-step explanation:

Answer:

4 I think I could be wrong hahaha

Answer: im not sure

Step-by-step explanation:

Answer:

60mph

Step-by-step explanation:

Answer:

C : 67°

Step-by-step explanation:

The angles are equal to each other therefore they would all be the same measurement which is 67°

Hope this helps

Answer:

The answer is C.

Hope this helps

Answer:

A possible answer is that Naron is 6 yrs old and his sister is 2 yrs old.

Step-by-step explanation:

6 is 3 times as much as 2

(6+2)/2=2+2

8/2=4

Answer:

Naron is 6 years old and his sister is 2 years old

Step-by-step explanation:

Answer:

d. n = 12

Step-by-step explanation:

n/33 = 4/11

cross-multiply:

11n = 132

divide both sides by 11:

n = 12

Answer:

Let x represent the amount of $ in the 4% account and y in the 2% account.

Then x + y = $4000 (total savings).

Interest at 4% would be  x*0.04*1 = 0.04x, and

Interest at 2% would be  y*0.02*1 = 0.02y.

Then 0.04x + 0.02y = $140 interest, total.  

We must solve this system of linear equations.

Mult. 0.04x + 0.02y = $140 by 100 to remove the fractions:

4x + 2y = $14000       We already know that x + y = $4000, so y = $4000-x.

Then  4x + 2y = $14000 becomes  4x + 2($4000-X) = $56000.

Simplifying,                                     4x + $8000 - 2x = 14000.

                                                       2x                      = $6000

                                                         x     =     $3000 at 4%

                                                         y     =      $1000 at 2%

i hope it helps :)

Step-by-step explanation:

Answer:

60mph

Step-by-step explanation:

Answer:

Manny drove 45 miles in 0.75 hours.What was the average rate that he drove in miles per hour?

60 mph

Step-by-step explanation:

Answer:

6. Ethan should shade the region marked B

7. No, point (0, 4) will not be included in the solution set

8. Point (0, -2) will not be included in the solution set

Step-by-step explanation:

Let us explain how to solve the question

The graph represents the equation 2x - 5y = 10

The inequality is 2x - 5y > 10

The sign of inequality is greater than without equal, that means the line represents it must be a dotted line because all the points on the line do not belong to the solution set of the inequality.

To find the area of the solution you must put y on a side and the other term on the other side

∵ 2x - 5y > 10

→ Add 5y to both sides to move y in the other side

∴ 2x - 5y + 5y > 10 + 5y

∴ 2x > 10 + 5y

→ Subtract 10 from both sides to move 10 to the other side

∵ 2x - 10 > 10 - 10 + 5y

∴ 2x - 10 > 5y

→ That means 5y < 2x - 10

∴ 5y < 2x - 10

6.

→ y < that means the area of the solutions is under the line

∴ The solutions of the inequality lie in area B

∴ Ethan should shade the region marked B

7.

∵ Point (0, 4) lies above the line in the region marked A

→ That means it does not lie in the area of the solutions

∴ Point (0, 4) will not be included in the solution set

8.

∵ Point (0, -2) lies on the line

∵ All the point on the line did not belong to the solution set as we

  said before

∴ Point (0, -2) will not be included in the solution set

Answer:

12

Step-by-step explanation:

3(9-h) is the equation used for this problem h=5

9-5=4    3x4=12

hope this helps!

Answer:

10/21 or 0.476 miles per hour

Step-by-step explanation:

If you divide 2/3 by 1.4 (or 14/10), you will get miles per hour.  

2/3 ÷ 14/10 = 2/3 x 10/14 = 20/42 = 10/21 = 0.476

The solution of the equation 3g + 5 = 7g + 4 will be 1/4.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

3g + 5 = 7g + 4

Simplify the equation, then we have

3g + 5 = 7g + 4

- 7g + 3g = 4 - 5

- 4g = - 1

g = (-1) / (-4)

g = 1 / 4

The solution of the equation 3g + 5 = 7g + 4 will be 1/4.

More about the solution of the equation link is given below.

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Answer:

X+y=180, Y=Z, X+Z=180

Step-by-step explanation:

Hope this helps. i remember doing this.

Answer:

m= -2

b= 2

y= -2x + 2

Step-by-step explanation:

Just did it

The slope of a line is m = -2 that passes through the points (-3, 8) and (4.-6), the y-intercept (b) of the line is 2, and the equation is y = -2x + 2.

The slope of a line is defined as the gradient of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Given that the line that passes through the points (-3, 8) and (4.-6).

Let

x₁ = -3, y₁ = 8

x₂ = 4, y₂ = -6

∵ Slope m = (y₂ - y₁)/(x₂ -x₁  )

Substitute values in the formula

m = (-6 - 8)/(4 -(-3))

m = (-14)/7

m = -2

y - 8 = m(x - (-3))

y - 8 = -2(x + 3)

y = -2x -6 + 8

y = -2x + 2

Since the slope-intercept form, y = mx+b

So the y-intercept (b) of the line,

b = 2

Thus, the slope of a line is m = -2 that passes through the points (-3, 8) and (4.-6), the y-intercept (b) of the line is 2, and the equation is y = -2x + 2.

Learn more about the Slope of the Line here:

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Given parameters:

   Coordinates of the points =  (3,4) and (19, 16)

Unknown:

The distance between the points = ?

The midpoint  = ?

Solution:

  The distance between two points can be mathematically solved using;

    D  = [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} }[/tex]

 where  x₁  = 3, x₂  = 19  and y₁  = 4, y₂  = 16

Input the parameters and solve;

   D  = [tex]\sqrt{(19 - 3)^{2} + (16 - 4)^{2} }[/tex]   = 20

Midpoint;

    The expression is given as;

     x[tex]_{m}[/tex] , y[tex]_{m}[/tex]  = [tex]\frac{x_{1} + x_{2} }{2}[/tex]  , [tex]\frac{y_{1} + y_{2} }{2}[/tex]

         input the parameters and solve;

                   = [tex]\frac{3 + 19}{2}[/tex]  , [tex]\frac{4 + 16}{2}[/tex]

                   = 11 , 10

The midpoint is (11, 10)

Answer: x = 13

Step-by-step explanation:

They are equal so set them equal and solve for x.

(4x+1) = 53

4x = 52

x = 13

Answer:

Since the lines l and m are parallel,

angle (4x + 1) and angle 53 are both corresponding angles

We know that corresponding angles are equal, so:

4x + 1 = 53

4x = 52

x = 13

Answer:

f(2) = -5

Step-by-step explanation:

f(2) means that x = 2.

We are trying to find the y-value when x = 2.

When x = 2, we see from the graph that our y-values is equal to -5.

Therefore, f(2) = -5

Answer:

F(C)<250

Step-by-step explanation:

To solve the problem we need to remember that a function is a relationship between an input usually called "x" (domain) and an output, usually called "y" and it's also the range of the function.

F(X)=y

We are given a relationship (a function) between the ferryboat trips "c" and the number of cars transported per day.

f(C)=C/20

Hence, the range of the function knowing that there are not more than 5000 cars transported by the ferryboat (daily) the range is all the numbers that are less or equal to 250.

F(C)<250

:)!