A survey found that 12 out of every 15 people in the United States prefer eating at a restaurant over cooking at home. if 400 people selected eating at restaurant on the survey how many people took the survey?

Answers

Answer 1
Answer:

Answer:

500 people

Step-by-step explanation:

Let the total number of people took the survey = x

Since 12 out of every 15 people prefer eating at a restaurant.

Therefore, fraction of total person surveyed who preferred eating at restaurant = (12)/(15)x people

If the number of people selected eating at restaurant = 400

Hence, (12x)/(15) = 400

              x = (400* 15)/(12)

              x = (6000)/(12)

              x = 500

Total 500 people took the survey.

Answer 2
Answer:

12x  = 400

x = (400)/(12)

15x = 15 * (400)/(12)

x = 500.

∴ 500 people took the survey


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Frankie’s electric bill total is $48 and contains three charges: a charge for electricity used, 5% tax on the charge for electricity used, and $6.30 in fees. Which statements are true?

Choose exactly two answers that are correct.

A. The equation that represents the price, e, of the electricity is e + 0.05e + 6.30 = 48.

B. The equation that represents the price, e, of the electricity is 0.05e + 6.30 = 48.

C. The cost of the electricity before taxes or fees is $39.71.

D. The cost of the electricity before taxes or fees is $834.

Answers

A. The equation that represents the price, e, of the electricity is e + 0.05e + 6.30 = 48
C. The cost of the electricity before taxes or fees is $39.71. 

e + 5% of e + 6.30 = 48

e + 0.05e + 6.30 = 48
1.05e = 48 - 6.30
1.05e = 41.70
e = 39.71

39.71 + 5%(39.71) + 6.30 = 48
39.71 + 1.99 + 6.30 = 48
48 = 48

(question is included in the image) answer in a simple way and on point to be marked brainilest

Answers

Answer:

a) Missing y-values
x = - 2    ==>   y = 5

x = - 1     ==>   y = 2

x =   1    ==>    y = 2

x =   3   ==>    y  = 10

b) Values of x for y = 4:
x = 1.7 and x = -1.7

Step-by-step explanation:

Given the quadratic function,
y = x² + 1

part a)

to find the y-value for a specific x, just plug in that value of x into the right side and simplify

There are four missing values for

The x values and the corresponding y values are
x = - 2    ==>   y =  (-2)² + 1   =  4 + 1 = 5

x = - 1     ==>   y  =  (-1)²  + 1  =  1 + 1 = 2

x =   1    ==>    y  =   (1)²  + 1  = 1 + 1  = 2

x =   3   ==>    y   =  (3)²  + 1  = 9 + 1 = 10

part b)

The graph has each unit on the grid for the x-axis = 0.5
and
each unit on the grid for the  y-axis  = 2

I got this by seeing that between x = 0 and x = 1 there are two units

the value of y at x = -1 or x = 1 is only one vertical unit on the grid and since y = 2 for these values of x, each vertical unit must be 2

Therefore look at the value of y = 4 (which should be two vertical units) on the graph. You can also draw a horizontal line parallel to the x axis at 2 units from the x-axis

It appears that on the positive x-axis for y = 4, x is about halfway between 1.5 and 2 so I would estimate it at 1.75

On the negative x-axis, at y = 4, x is about halfway between -1.5 and -2 so it would be -1.75

One thing to note about quadratic functions is that you get the same value of y for x and -x

So at y = 4, the two possible values of x are
x = 1.75 and x = -1.75

which when using one decimal place will round to 1.7 and 1;75

I am rounding down rather than rounding up since the x value appears be less than 1.75

Mathematically we can solve for x at y = 4 by plugging in values
y = 4 = x² + 1

x² + 1 = 4

x² = 4 - 1 = 3

x =±√3 = ±1.732

which when rounded to 1 decimal place becomes
x = 1.7 and x = -1.7


Answer:

Step-by-step explanation:

a) y = (-2)² + 1 = 5

y = (-1)² + 1 = 2

y = (1)² + 1 = 2

y = (3)² + 1 = 10

b)  4 = x² + 1

x² = 4 - 1 = 3

x = ±√3 = ±1.7

Vince is saving for a new mobile phone. the least expensive model vince likes $225.90. vince has saved $122.35. He used this solution to determine how much more he needs to save.

Answers

Answer:

Step-by-step explanation:

Right answer is choice C

Let a= amount Vince needs

Because if the least expensive phone is $225.90 and Vince got $122.35 saved then

(225.90 - 122.35) $103.55 is how much Vince will need

103.55 is greater than or equal to a

and not less than or equal to

Answer:

No, he is not correct.

Step-by-step explanation:

$103.55 is the minimum, not maximum

!!!!!!!50 points!!!!!!!! QUESTION BELLOW HELP ASAP!!!!!!!!!

Answers

hmm, interesting
one way would be to multply it out or set it equal to 11x where x is a whole number (if x is not a whole number, then it is not divisible)
11x=7^6+7^5-7^4
undistribute 7^4
11x=(7^4)(7^2+7^1-1)
11x=(7^4)(49+7-1)
11x=(7^4)(55)

56=5*11

11x=(7^4)(5)(11)
divide by 11
x=5(7^4)



aka, find if 11 is a factor of that number


x=5(7^4)
Well for this question you can factor like this:
7^3(7^3 + 7^2 -7) = 7^3(385) = 7^3(35)(11) = 7^3(7)(5)(11) = 7^4(5)(11) :)))
I hope this is helpful
have a nice day 

Jamal finished 5/6 of his homework.margaret finished 3/4 of her homework and Steve finished 10/12 of his homework.which two students finished the same amount of homework

Answers

Jamal and Steve

10/12 can be reduced to 5/6

jamal and Steve finished the same amount of homework

Paul is going to have the exterior of his home painted. Painting USA charges $75.00 to come out and evaluate the house plus $25.00 per hour of labor. Upscale Home Painting does not charge to evaluate the house. However, they charge $40.00 per hour. If it takes 25 hours to paint Paul’s house, the most cost effective company will be

Answers

Answer:

The most cost effective company will be Painting USA that charge $700 to paint Paul house .

Step-by-step explanation:

As given

Paul is going to have the exterior of his home painted.

Painting USA charges $75.00 to come out and evaluate the house plus $25.00 per hour of labor.

If it takes 25 hours to paint Paul’s house.

Total amount charge by Painting USA = Painting USA charges for come out  and evaluate the house + Cost of per hour of labor × Total hours take to paint Paul house .

Total amount charge by Painting USA = 75 + 25 × 25

                                                                = 75 + 625

                                                                = $ 700

As given

Upscale Home Painting does not charge to evaluate the house. However, they charge $40.00 per hour.

Total amount charge by Upscale Home Painting = Cost of per hour of labor × Total hours take to paint Paul house

                                                                                 = 40 × 25

                                                                                 = $ 1000

Therefore  the most cost effective company will be Painting USA  that charge $700 to paint Paul house .

Given:$75
25 hours

Painting USA : Fixed cost: $75 ; Variable Cost: $25x
Total Cost = 75 + 25(25) = 75 + 625 = 700

Upscale Home Painting: No Fixed Cost ; Variable Cost : $40x
Total Cost = 40(25) = 1,000

The most cost effective company will be Painting USA whose charge will amount to $700.