16.
A reporter intends to
survey 150 people to estimate what percentage of the city's
population would support a law that raises the
legal driving age from 16 to 18 years.
Where should the reporter conduct his survey to obtain data that best represents the
entire city population?

A. the city's park
B. the city's high school
C. the city's senior citizen center
D. the city's police and fire stations

Answer:

a) 5xy + 9yz + 3zx + 5x - 4y

Step-by-step explanation:

→ (7xy + 5yz - 3zx) + (4yz + 9zx - 4y) + (-3xz + 5x - 2xy)

→ (7xy - 2xy) + (5yz + 4yz) + (-3zx + 9zx - 3xz) + (5x) + (-4y)

→ 5xy + 9yz + 3zx + 5x - 4y

Hence, option (a) is the correct answer.

Answer:

[tex]\textsf{A)}\quad \sf 5xy+9yz+3zx+5x-4y[/tex]

Step-by-step explanation:

Given expression:

[tex]\sf (7xy+5yz-3zx)+(4yz+9zx-4y)+(-3xz+5x-2xy)[/tex]

Remove the parentheses:

[tex]\implies \sf 7xy+5yz-3zx+4yz+9zx-4y-3xz+5x-2xy[/tex]

Collect like terms:

[tex]\implies \sf 7xy-2xy+5yz+4yz+9zx-3zx-3xz+5x-4y[/tex]

Combine like terms:

[tex]\implies \sf (7-2)xy+(5+4)yz+(9-3-3)zx+5x-4y[/tex]

[tex]\implies \sf 5xy+9yz+3zx+5x-4y[/tex]

Answer:

0.267

Step-by-step explanation:

:)

Answer:

2x² + 6x + 8

Step-by-step explanation:

(f + g)(x)

= f(x) + g(x)

= 6x + 8 + 2x²

= 2x² + 6x + 8

Answer:

the dryer costs $450

step-by-step explanation:

w + d = 831

w = d-69 (they told us we will have to take $69 from the cost of the dryer to determine the cost of the washer)

(d-69) + d = 831

Let's combine like terms

2d - 69 = 831

add 69 to both sides to solve for d

2d = 900

divide both sides by 2 to solve for d

d = 450; the dryer costs $450

From the information given, it is correct to state that M = - 3; while c = 26. This problem relates to a Rhombus. See the definition of a Rhombus below.

A Rhombus is a 2-dimensional quadrilateral whose sides have equal length.

It is given that ABCD is a Rhombus. This means that

Hence, the slope of AC = -3.

This is arrived at as follows:

Given that the diagonals of Rhombus' are perpendicular, hence

I/3 x m = -1 ⇒ -3

⇒ Line y-11 = -3 (x-5)

⇒ Line AC thus ⇒ y = -3x + 26

Recall that the coordinates are (5, 11). Thus let y = -3x + b

Hence, -3 x 5 + b = 11
b = 11 + 15

b = 26.

Therefore the equation is given as:

y = -3X + 26 were:

m = -3; and

c = 26

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The area of the planned school garden have dimensions of g + 4 and g + 10 respectively.

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the area of the planned school garden as:

A = g² + 14g + 40

A = g² + 10g + 4g + 40 = g(g + 10) + 4(g + 10)

A = (g + 4)(g + 10)

The area of the planned school garden have dimensions of g + 4 and g + 10 respectively.

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[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

a+(-5)=-9

What is a equal to?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

First, a+(-5)=-9 can be written as follows:-

⇒a-5=-9

Now, add 5 to both sides:-

⇒a=-9+5

And finally,

⇒a=-4

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

Answer:

a = -4

Step-by-step explanation:

We have to,

Find the required value of a,

→ a + (-5) = -9

→ a - 5 = -9

→ a = -9 + 5

→ [ a = -4 ]

Hence, the value of a is -4.

Answer: C 75

Step-by-step explanation: time to distance is ratio 4:5 = 60:X

In 1min He walks 5/4

in 60mins He walks 5/4 ×60

Answer:

Answer:

yeah how can i help help you

Answer:

The equation the repair service use to charge customers is c = 30h + 40

Step-by-step explanation:

If h = 1

Cost, c = 30h + 40

= 30(1) + 40

= $70

h = 2

c = 30(2) + 40

= $100

h = 3

c = 30(3)+ 40

= $130

h = 4

c = 30(4) + 40

= $160

h = 5

c = 30(5) + 40

= $190

h = 6

c = 30(6) + 40

= $220

Answer:

[tex]\frac{1}{3}[/tex](9) = 3

[tex]\frac{1}{4}[/tex](16) = 4

[tex]\frac{2}{5}[/tex](25) = 10

[tex]\frac{3}{5}[/tex](25) = 15

[tex]\frac{1}{5}[/tex] x = 10    x=50

[tex]\frac{1}{4}[/tex]x= 10      x=40

Answer:75.8

Step-by-step explanation:

if the hundredth place to the right of the desimel is more than or 5 then the number to the right of the 5 is going to increase its value by 1

Answer:

11.1 units

Step-by-step explanation:

In a right triangle    sin (angle ) = opposite side / hpotenuse

 for this one

  sin 38 = EF/18  

then    18 sin 38 = EF     then calculator shows   EF = 11.1

Answer:

Step-by-step explanation:

we know that If two angles are complementary, then their sum is equal to 90 degrees

Letx -----> the measure of an angle

 y-----> the measure of he other angle

we know thatx+y=90 -----> y=90

-x -----> equation

Ax=y+54 ----> equation

Bsubstitute equation B in equation A and solve for yy=90-(y+54)

y=90-y-542y=36y=18°

Find the value of xx=y+54 -----> x=18+54=72°

thereforeThe measure of the angles are 72 degrees and 18 degrees

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[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

           An angle measures 54º more than the measure of its supplementary angle. What is the measure of each angle?

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]

Angle Measurements:- 63º and 117º

[tex]\blue{\textsf{\textbf{\underline{\underline{How\:to\:Solve:-}}}}[/tex]

                        Supplementary angles add up to 180º.

Now, let the unknown angle be n.

Set up an equation:-

[tex]\bigstar[/tex] [tex]\textsf{n+n+54=180}[/tex] (remember, supplementary angles add up to 180)

Add the n's :

[tex]\textsf{2n+54=180}[/tex]

Subtract 54 on both sides:

[tex]\textsf{2n=126}[/tex]

Divide by 2 on both sides:

[tex]\textsf{n=63\textdegree}[/tex]

Now, add 54 to find the other angle:

63+54=117

Check:-

We can easily check our work by adding the two angles together and seeing whether or not we end up with 180º.

[tex]\textsf{63+117=180}[/tex]

[tex]\textsf{180=180}\LARGE\checkmark[/tex]

LHS=RHS (Left-Hand Side = Right-Hand Side)

Hence, the angles are 63 and 117.  [tex]\checkmark[/tex]

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Answer:

269.12

Step-by-step explanation:

Answer:

1.6 hours

Step-by-step explanation:

h = hours

rate * time = distance

time = distance / rate

h = 92.8 / 58

h = 1.6 hours

1.6 hours = 1 hour 36 minutes

Answer:

24t

Step-by-step explanation:

Multiply 8 by 3t
Since 8 is outside of the bracket, while 3t is inside the bracket
8 * 3t
= 24t

Answer:

Step-by-step explanation:

Formula Development

Let the width = w

Let the Length = 5*w

P = 72

P =2w + 2L

Area = 5w * w

Solution

Start with the Perimeter. Solve for w.

P = 2w + 2L                  Substitute the givens

72 = 2w + 2*5w            Combine

72 = 2w + 10w              Combine   Combine again

72 = 12 w                       Divide by 12

72/12 = 12w/12

w = 6

Now for the area

Area = 5w * w

w = 6

Area = 5*6*6

Answer: Area = 180 cm^2

Step-by-step explanation:

The goal is to isolate that given variable. The process is the same process that you use to solve linear equations; the only difference is that you will be working with a lot more letters, you also prob will not be able to simplfy as much as linear equations

Answer:

it is more than one step so it takes longer to solve

Step-by-step explanation:

the process of isolating a variable in these literal equations is similar to solving a one-step equation because after isolating a variable you solve the rest of the equation,it is different from solving a one-step equation because it is more than one step so it takes longer to solve

Answer:

4 twenty dollar bills = 20 x 4

                                = 120

Thus, the answer is 120 dollars.

Step-by-step explanation:

I suppose it's going to look like this, you just need to continue the graph for other figure numbers and numbers of circles

Answer:

D)    [tex]d=\sqrt{(6-9)^2+(3-(-2))^2}[/tex]

Step-by-step explanation:

Distance between two points formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Given:

(x₂, y₂) = (6, 3)

(x₁, y₁) = (9, -2)

[tex]\implies d=\sqrt{(6-9)^2+(3-(-2))^2}[/tex]

Answer:

[tex]\large \textsf{d = $\sqrt{(6-9)^2+(3-(-2))^2}$}[/tex]

Step-by-step explanation:

Distance formula: [tex]\large \textsf {d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$}[/tex]

Distance between the points (9, -2) and (6, 3):

[tex]\large \textsf {d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$}\\\\\large \textsf{d = $\sqrt{(6-9)^2+(3-(-2))^2}$}\\\\\large \textsf{d = $\sqrt{(6-9)^2+(3+2)^2}$}\\\\[/tex]

Hope this helps!

Answer:

18

Step-by-step explanation:

[tex]0.25*75 = 18\\[/tex] (must round down for population)

Answer:

Less than

Step-by-step explanation:

4 and 1/4 is basically equal to 4 and 2/8

Answer: less becuase 4 1/4 x 4=17 and 4 1/8 x 4=16.5

Step-by-step explanation:

The value of x in the following diagram in which the length of Q to line EF is 3x+1 and the length of Q from the line HG is x+8, is 3.5 units.

The line which is drawn from the center of the circle perpendicular to  the chord in the circle bisect the chord into two equal shape.

In the given, diagram the length of Q to line EF is 3x+1 and the length of Q from the line HG is x+8.

These both the lines are equal in length as both are drawn from the center of the circle and has a perpendicular bisector for the 15 units length chord in the circle. Thus,

[tex]3x+1=x+8\\3x-x=8-1\\2x=7\\x=\dfrac{7}{2}\\x=3.5[/tex]

Thus, the value of x in the following diagram in which the length of Q to line EF is 3x+1 and the length of Q from the line HG is x+8, is 3.5 units.

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