the graph shows a proportional relationship. what is the constant proportionality?

Answer:

48

Step-by-step explanation:

If there were 126 students total, and 21 dots. That means that there are 6 students per dot. And since there are 8 dots in the 18 minute mark, that means that there were 48 predicted students.

Answer:

331.66

Step-by-step explanation:

125(1.05)^20

Answer:

x = 53

y = 30

Step-by-step explanation:

Step(I):-

Given equations are

x -2y =-7 ...(I)

5x-9y =-5 ..(ii)

The matrix form  AX = B

                    [tex]\left[\begin{array}{ccc}1&-2\\ 5 & -9\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}-7\\-5\\\end{array}\right][/tex]

The determinant

[tex]= \left|\begin{array}{ccc}1&-2\\5&-9\\\end{array}\right| = -9+10 =1[/tex]

By using Cramer's Rule

Δ₁ =      [tex]\left[\begin{array}{ccc}-7&-2\\\\-5&-9\end{array}\right][/tex]



The determinant is     Δ₁ = -9 X -7 - (10 ) = 53

x = Δ₁ / Δ

x = 53

The determinant

Δ₂ =



Δ₂ = -5 +35

     

y = Δ₂/Δ =  30

 x - 2y = -7

5x - 9y = -5​

[tex]D=\left|\, 1\quad-2\atop5\quad-9\right|=1\cdot(-9)-(-2)\cdot5=-9+10=1\\\\\\x=\dfrac{\left|-7\quad-2\atop-5\quad-9\right|}1=-7(-9)-(-2)(-5)=63-10=53\\\\\\y=\dfrac{\left|\, 1\quad-7\atop5\quad-5\right|}1=1\cdot(-5)-(-7)\cdot5=-5+35=30[/tex]

Answer:

2,-1,-2,-1

Step-by-step explanation:

You just replace x with the given numbers

Answer:

0.29

Step-by-step explanation:

12 divide by $3.48 is 0.29

Answer:

C.

Step-by-step explanation:

A negative number divided by a negative number is a positve number.

Answer:

c and d

Step-by-step explanation:

Answer:

Please check the explanation.

Step-by-step explanation:

                                           6)

Given the line

[tex]y=-\frac{1}{3}x+3[/tex]

We know that the slope-intercept form of the line equation is

[tex]y=mx+b[/tex]

where m is the line and b is the y-intercept

Thus, the slope of line = -1/3

We know that parallel lines have the same slope.

Hence, the slope of the parallel line is also m=-1/3

So, substituting m = -1/3 and (3, 1) in the slope-intercept form to find the y-intercept

[tex]y=mx+b[/tex]

[tex]1=\frac{-1}{3}\left(3\right)+b[/tex]

Switch sides

[tex]\frac{-1}{3}\left(3\right)+b=1[/tex]

[tex]-1+b=1[/tex]

[tex]b=2[/tex]

Thus, the equation line in slope-intercept form

[tex]y=mx+b[/tex]

[tex]y=-\frac{1}{3}x+2[/tex]

                                             8)

Given the line

[tex]y=\frac{1}{4}x+1[/tex]

We know that the slope-intercept form of the line equation is

[tex]y=mx+b[/tex]

where m is the line and b is the y-intercept

so the slope of line = 1/4

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

The slope of the perpendicular line will be: -4

Thus, subtituting m = -4 and (-1, 4) in the point-slope form

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-4=-4\left(x-\left(-1\right)\right)[/tex]

writing the point-slope form in the slope-intercept form

[tex]y-4=-4\left(x+1\right)[/tex]

add 4 to both sides

[tex]y-4+4=-4\left(x+1\right)+4[/tex]

[tex]y=-4x[/tex]                                

Step-by-step explanation:

true I think I hope this helps !!!

cant see the pic

Step-by-step explanation:

Answer:

[tex]y\leq \frac{x}{2}-2[/tex]

Step-by-step explanation:

When dividing/multiplying you flip the inequality sign, and the negative on the x and 2 cancel.

Answer:

Step-by-step explanation:

150-20/2

Answer:

~21.6 miles

Step-by-step explanation:

72:1 is 72mph

18 min is 30% of a hour

72 times .3

Answer:

(9,3)

Step-by-step explanation:

You can just substitute the answer choices in to the equation and see what option works for both equations.

Answer: $38.50

Step-by-step explanation: Find 70% of $55.

Answer:

38.5

Step-by-step explanation:

SO U FIND 10% WHICH IS =5.5

THEN U TIMES IS BY 3 AND ITS =16.5

THEN YOU MINUS 55 BY 16.5

AND THAT IS =38.5

Answer:

-1/2

Step-by-step explanation:

The equation for slope is y2 - y1 and x2 - x1. So you do 5(y2) - 4 (y1) which is 1. And 6(x2) - 8(x1) which is -2. Put 1 as the numerator and -2 as the denominator as you got -1/2. The fraction is negative because the -2 made it that way

Answer:

The answer is below

Step-by-step explanation:

Let p represent the cost of Turkish delights in dollar per pound. Therefore the money spent by Jake who bought 4 pounds of Turkish delight is:

money spent by Jake = 7.65 + 5p

The money spent by Tina who bought 4 pounds of Turkish delight is:

Money spent by Tina = 2.45 + 4p

The money Jake spent more = difference between money spent by Jake and that spent by Tina = money spent by Jake - money spent by Tina = (7.65 + 5p) - (2.45 + 4p) = 5.20 + p

Answer:

ok what is thepromblem

Step-by-step explanation:

Answer:

whats up? whats tha questionn :)

Step-by-step explanation:

Step-by-step explanation:

The absolute maximum of the function is y = 4, at (3, 4).

Both ends of the function point downward, which stretches to negative infinity.

Hence the range is -infinity < y <= 4. (D)

Answer:

114 yards

456 yards

Step-by-step explanation:

Given that:

Area of square parking lot = 12,996 square yards

The lenght of one side of the parking lot :

Area of a square = a² ; a = side length

Hence ;

12996 = a²

√12996 = a

114 = a

Hence, length of one side = 114 yards

Yards of fence needed to enclose parking lot :

Perimeter of a square = 4a ; a = side length

Perimeter = 4(114)

Perimeter = 456 yards

Answer:

(See the attachment)

Step-by-step explanation:

None

Answer:

x= 30

Step-by-step explanation:

3x + 50 = 140

3x = 140 -50

3x = 90

x = 90/3

x = 30

Answer:

x = 30

Step-by-step explanation:

The given angles are vertical and congruent , then

3x + 50 = 140 ( subtract 50 from both sides )

3x = 90 ( divide both sides by 3 )

x = 30

Answer:

sales tax is $3.50.

She would have to pay $73.50

Step-by-step explanation:

5% of 70 is 3.5 (sales tax)

70+3.5= 73.5