A market research survey has 15 questions and will be sent to 500 people. What is the total cost to conduct the survey if it has a $1,000 base fee plus $5 per question and $2 per person surveyed?

Answer:

perpendicular

Step-by-step explanation:

L1: find the slope

rise: 2 - (-5) = 7

run: -1 - (-3) = 2

m1 = 7/2

L2:

rise: 2 - 4 = -2

run: 7 - 0 = 7

m2 = -2/7

parallel means same slope m1 = m2

perpendicular means opposite reciprocal (flip and change signs)

7/2 flip and change signs = -2/7, yes thus it is perpendicular

Answer:

The simplest form of 42/18 is 7/3 or 2 1/3

Step-by-step explanation:

Answer:

7/3 or 2 and 1/3

Step-by-step explanation:

So first you have to find what is GCF of 42 and 18, which is 6 so divide 42 and 18 by 6 and you get 7/3 which is your simplified fraction but you can make this into a mixed number which would be 2 and 1/3

Answer: There are 3 quarters , 9 dimes and 14 pennies.

Step-by-step explanation:

Let x= Number of quarters

Then, Number of dimes = 3x

Number of pennies = 3x+5

1 quarter = $ 0.25

1 dime = $0.10

1 penny = $ 0.01

So, Total amount = 0.25x+ 0.10(3x) + 0.01(3x+5)

= 0.25x+0.30x+ 0.03x+0.05

= 0.58x+0.05

Since Total amount = 1 dollar and 79 cents = $ 1.79  [1 cent = $ 0.01]

So,

[tex]0.58x+0.05=1.79\\\\\Rightarrow\ 0.58x= 1.74\\\\\Rightarrow x=\dfrac{1.74}{0.58}\\\\\Rightarrow x=3[/tex]

Thus, there are 3 quarters , 9 dimes , 14 pennies.

Answer:

Step-by-step explanation:

there are 3 quarters , 9 dimes , 14 pennies.

Answer:

the shorter pipe is 41 inches the longer one is 82 inches.

Step-by-step explanation: hope this helps

Answer:

x = 1-2

Step-by-step explanation:

27 = - 3x - 9

36 = -3x

-12 = x

x = -12

Step-by-step explanation:

27+9=-3x

36=-3x

36 divided by -3=x

-12=x

Answer:

Let x equal “a number”

3x+5=9

Answer:

x = 4/3 or 1.33333333333333333333333(infinite 3)

Step-by-step explanation:

3 times a number =  3x

sum = addition

3x + 5 = 9

now balance equation, get numbers without x on same side. Subtract 5 from both sides, this will leave 3x on one side, and 9-5 on the other side.

3x = 4, now divide by 3 on each side to get x on one side

3x/3 = 4/3

x=4/3

4/3 = 1.33

3 x 1.33 +5 = 9

Answer:

nl i can't give sorry again

Answer:

Step-by-step explanation:

3rd one

Answer:

x = no solutions

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-2(x + 5) = -2(x - 2) + 5

Step 2: Solve for x

Here we see that -10 does not equal 9.

∴ x = no solutions.

Answer:

no solution

Step-by-step explanation:

:)

Answer:AB is longer than AC

Step-by-step explanation:AP3X

Answer:

c

Step-by-step explanation:

I just did it on A.P.E.X.

tyler has 4 sandwichs he wants to cut each sandwich into halves how many 1/2 size pieces will he have

[tex]4 \div \frac{1}{2} [/tex]

[tex] = 4 \times \frac{2}{1} [/tex]

[tex] = \frac{8}{1} [/tex]

[tex] = 8[/tex]

[tex]8 \times \frac{1}{2} [/tex]

[tex] = 4 \times \frac{1}{1} [/tex]

[tex] = \frac{4}{1} [/tex]

[tex] = 4[/tex]

8 pieces

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Answer:

the answer is (1)

Step-by-step explanation:

k = am +3mx

k = m(a+3x)

m(a+3x) = k

[tex] \frac{m(a+3x)}{(a + 3x)} = \frac{k }{(a + 3x)} [/tex]

[tex]m = \frac{k }{a + 3x} [/tex]

Answer:

5 and 10/11 kilometers

Step-by-step explanation:

if she gets $5.50 per 1 kilometer the she gets $33 dollars per 6 kilometers but she got 32.50 there are $0.50 missing which equals to 10/11 the actual price so she went 5 kilometers and 10/11 killometer

Answer:

y = 3/8 x - 2

Step-by-step explanation:

Put 8y on the other side to get

8y + 16 = 3x

8y = 3x - 16 and thus

y = 3/8 x - 2

Answer:

No they are proprotional.

Step-by-step explanation:

the tables eqaution is

y=3x+1

Answer:

Yes. I assume yes they are proportional because you can see a pattern in the y and x's.

Answer:

the first one is 45% I don't no the second one

k=-36

Step-by-step explanation:

x inversely proportional to y

x=1k/y

where k = constant

x= -3, y= 12, k = ?

-3=k/12

k = -3 × 12

k = -36

Answer:

2/9, 2/8, 2/3

Step-by-step explanation:

2/9= 0.22 (to 2 decimal point)

2/8= 0.25

2/3 = 0.67

x[tex]x^{2} -10x+9--->use AC method---->(x-9)(x-1)[/tex] i think

Answer:

Step-by-step explanation:

ayo

Answer

I dont know

Step-by-step explanation:

I would love to help but I have no clue

Answer:

slope = 12/7

Step-by-step explanation:

y2 - y1 / x2 - x1 = slope

slope = 4-(-8)/0-(-7)

slope = 12/7

Answer

the slope is 3/4 or .75

Answer:

The distance is 5 units.

Step-by-step explanation:

Key Skills needed for this problem: Distance Formula, Coordinate Plane Understanding, Radicals, Subtraction, Exponents, Addition

1) We are given 2 points --> (-1,2) and (3,5)

2) To find out the distance between both, we use distance formula.

This is: Given 2 points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex], the distance between the 2 points would be: [tex]\sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex].

3) For the points (-1,2) and (3,5):

4) Therefore it would be --> [tex]\sqrt{(-1 - 3)^{2} + (5-2)^{2}}[/tex]

5) This simplified would be [tex]\sqrt{(-4)^{2} + 3^{2}}[/tex]

6) This further simplified would be: [tex]\sqrt{16 + 9}[/tex]

7) This even more simplified would be [tex]\sqrt{25}[/tex] which is 5.

Therefore, the distance between the 2 points is 5 units.

Hope you understood and have a nice day!! :D

Answer:

4x-3

Step-by-step explanation:

(7x-5) - (3x-2)

aka

(7x-5)  -1 (3x-2)

first distribute the -1 into (3x-2)

-3x+2

so

(7x-5)+ -3x+2

next combine like terms

7x-3x=4x

so

4x-5+2

then

-5+2=-3

so

4x-3 would be your simplified equation

Answer:

[tex]\frac{2}{k+2}[/tex]

Step-by-step explanation:

Given the expression:

[tex]\frac{4k+2}{k^2-4} * \frac{k-2}{2k+1}[/tex]

We are to find the product as shown:

[tex]= \frac{4k+2}{k^2-4} * \frac{k-2}{2k+1}\\\\= \frac{2(2k+1)}{k^2-2^2} * \frac{k-2}{2k+1}\\\\= \frac{2(2k+1)}{(k-2)(k+2)} * \frac{k-2}{2k+1}\\\\= \frac{2}{k+2} * 1\\\\= \frac{2}{k+2}[/tex]

Hence the required function is [tex]\frac{2}{k+2}[/tex]

d. StartFraction 2 Over k + 2 EndFraction

aka

d. 2/k+2

Answer: C

Step-by-step explanation:

Answer:he ran 23 miles / XXIII miles more in February than March

Step-by-step explanation:

February = He ran XLVII ---   converting to numbers  becomes

XL= 40

VII=   7

XLVII= 47

In march he ran  XXIV--- converting to numbers becomes

XX= 20

IV= 4

XXIV= 24

Step 2

To find how many more he ran in February than March

Miles ran in February - Miles ran in March

47- 24=23.

Therefore he ran 23 miles / XXIII miles more in February than March

Answer:

pretty much answer c

Step-by-step explanation:

Answer: 77

Step-by-step explanation: