1. Set up a proportion and use it to solve for X.
16
12
X

Answer:

x

Step-by-step explanation:

the variable that represents the cost per person is x

The cost per person for company A is given as: [tex]C = \dfrac{y-d}{x}[/tex] where C is cost per person and d is one time fixed delivery fee.

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For this case, let we take:

We're given that:

That means, as C is cost per person, so for x persons, it will be [tex]C \times x[/tex]

Thus, total cost = cost for x persons + delivery cost

or

[tex]y = C \times x + d\\\\[/tex]

Subtracting 'd' from both sides and then dividing both sides by 'x', we get

[tex]C = \dfrac{y-d}{x}[/tex]

Thus, the cost per person for company A is given as: [tex]C = \dfrac{y-d}{x}[/tex]where C is cost per person and d is one time fixed delivery fee.

Learn more about forming equations here:

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Answer:

Bobies

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

A-B= 1/4 inch

A-G= 3-3/4 inch

A-D= 3/4 inch

A-K= 4-3/4 inch

A-I= 1-3/4 inch

A-E 1 inch

A-J= 3 inch

A-L= 4-1/4 inch

A-F= 2-1/4 inch

A-H= 1-1/2 inch

A-C= 1/2 inch

A-M= 5-3/4 inch

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

[tex]m\angle BCD = 32^{\circ}[/tex]

Step-by-step explanation:

Given

[tex]m\angle DAB = 32^{\circ}[/tex]

See attachment for basketball blackboard

Required

Find [tex]m\angle BCD[/tex]

In the attachment:

[tex]m\angle BCD[/tex] and [tex]m\angle DAB[/tex] are opposite angles

And in a parallelogram, opposite angles have the same measure.

This implies that:

[tex]m\angle BCD = m\angle DAB = 32^{\circ}[/tex]

So:

[tex]m\angle BCD = 32^{\circ}[/tex]

Answer:

.90

Step-by-step explanation:

?

Answer:

4 2/4

Step-by-step explanation:

4 1/2 + 1/2 = 4 2/4

i just added em up

Answer:

Step-by-step explanation: 4 1/2 pints / 1/2 pint/ bowl = (9/2) / (1/2) = 9/2 pints x 2 bowl/pint = 18/2 bowls = 9 bowls. QED.

Answer:

Original altitude = 375 m

Step-by-step explanation:

Given:

Current height of helicopter = 145 m

New leveled off = 230 m

Find:

Original altitude

Computation:

Original altitude = Current height of helicopter + New leveled off

Original altitude = 145 m + 230 m

Original altitude = 375 m

Answer:

17

Step-by-step explanation:

A slope is also known as the gradient of a line. The correct option is C, 17 dollars per hour.

A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

The average rate of change for the data from the 2nd hour to the 6th hour is,

Average rate = ($126 - $58)/(6 hour - 2 hour)

                      = 68/4 dollar per hour

                      = 17 dollars per hour

Hence, The average rate of change for the data from the 2nd hour to the 6th hour is 17 dollars per hour.

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Answer:

thats good on daniel it will save him time.

Answer:

Yea it will save him time

Step-by-step explanation:

There's no question so...

Answer:

Step-by-step explanation:

y - 1 = x - 8

y = x - 7

Answer:

Total cost of cementing the path = Rs. 17,000.

Step-by-step explanation:

Let the square garden be ABCD

Let the region inside the garden (ABCD) be WXYZ.

Given the following data;

Length of sides of ABCD = 90m

Width of path = 5m

Cost = Rs. 10 per m²

Area of ABCD = 90 * 90

Area of ABCD = 8100m²

To find the area of WXYZ;

WX = WZ = 90 - (5 + 5)

WX = WZ = 90 - 10

WX = WZ = 80m

Area of WXYZ = WX * WZ

Substituting into the equation, we have;

Area of WXYZ = 80 * 80

Area of WXYZ = 6400 m²

Area of path = Area of ABCD - Area of WXYZ

Area of path = 8100 - 6400

Area of path = 1700 m²

Total cost of cementing the path = Area of path * cost

Total cost of cementing the path = 1700 * 10

Total cost of cementing the path = Rs. 17,000

To find the area of the composite figure:-

We can use following methods-

1. Decompose the figure into one rectangle and one triangle and add the area.

2. Decompose the figure into two trapezoids and add the area.

3. Find the area of the larger rectangle, then subtract the area of the two small triangle

"It is shape that is made up of two or more geometric shapes"

A = 1/2 × b × h

where b is the base of the triangle and 'h' is the height of the triangle

A = l × w

where l = length of the rectangle

w = width of the rectangle

For given example,

We need to find the area of the composite figure.

To find the area of the composite figure:-

We can follow-

1. Decompose the figure into one rectangle and one triangle and add the area.

2. Decompose the figure into two trapezoids and add the area.

3. Find the area of the larger rectangle, then subtract the area of the two small triangle

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Answer: A, B, and D

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

Answer:

Step-by-step explanation:

3(x+3)=39 first you distribute the the then you get 3x+9=39 then you subtract so then you have 3x=30 then divide 30 by 3 and you have 10! hoped it helped some. ( the answer is x=10)  

whats is y? I can't solve the problem without it

Answer:

The answer is A.

Step-by-step explanation:

Answer:

Buying the larger box, I will be saving 23% compared to the original price.

Step-by-step explanation:

Given that a box contains 300 swabs for 2.99 and the other box is specially marked at 30% more swabs for the same price, to determine how much will I save per swab by buying the larger box the following calculation must be performed:

2.99 / 300 = X

0.0099 = X

2.99 / (300 x 1.3) = X

2.99 / 390 = X

0.0076 = X

0.0099 = 100

0.0076 = X

(0.0076 x 100) / 0.0099 = X

77 = X

100 - 77 = 23

Therefore, buying the larger box I will be saving 23% compared to the original price.

Answer:

0.1938 = 19.38% probability that a package is delivered by UPS if it weighs 2 lbs or more

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: It weighs 2 lbs or more

Event B: Delivered by UPS

15% of the packages that are delivered by UPS weighs 2 lbs or more.

This means that [tex]P(A \cap B) = 0.15[/tex]

More than 2 lbs:

15% of 20%(UPS)

93% of 80%(Not delivered by UPS). So

[tex]P(A) = 0.15*0.2 + 0.93*0.8 = 0.774[/tex]

a. What is the probability that a package is delivered by UPS if it weighs 2 lbs or more

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.774} = 0.1938[/tex]

0.1938 = 19.38% probability that a package is delivered by UPS if it weighs 2 lbs or more

Answer:

-3

Step-by-step explanation:

10 minus 13 is negative 3.

Answer:

Your answer is "C"

Step-by-step explanation:

Dont ask me how I know, I just know

No clue why but brainly said I had inappropriate words in my answer so here's a picture

Answer:

82 degrees

Step-by-step explanation:

Complementary angles add up to 90 degrees. if one angle is 8 then,

90-8=82

Answer:

vat=15%

selling price with vat=$1380

selling price with out vat=?

we have

selling price with vat=$1380

selling price with out vat+vat%of selling price with out vat =$1380

selling price with out vat(1+15/100)=$1380

selling price with out vat=$1380/1.15=$1200

The answer is 54 I believe.

cause 9 × 6 is 54.

Answer:

£683.10 in New York.

Step-by-step explanation:

Given the following data;

iPhone costs in London = £799

iPhone costs in Paris = €850

iPhone costs in New York = $970

£1 = €1.17 and £1 = $1.42

First of all, to find the cheapest (lowest) price for the three phones we would have to convert the prices to Pounds (£).

a. iPhone costs in London = £799

b. iPhone costs in Paris = €850

To find the price in Pounds (£);

£1 = €1.17

iPhone costs in Paris = €850/€1.17

iPhone costs in Paris = £726.50

c. iPhone costs in New York = $970

To find the price in Pounds (£);

£1 = $1.42

iPhone costs in New York = $970/$1.42

iPhone costs in New York = £683.10

Therefore, the lowest price for the iPhone is £683.10

Answer:

327.75

Step-by-step explanation:

Answer:

Yes

5 Mins

7 blocks from home

Step-by-step explanation:

6- 1 Minute = 5 mins

Slower speed = Return Speed (Speed that took more time)

Answer:

Step-by-step explanation:

There are two different techniques that I can think of for arriving at the answer. The first method utilizes combination, sometimes referred to as the “choose” operator. First, we need to know how many 6 cards hands are possible, which can be calculated using 52 choose 6, which in notation looks like  (526)   =20,358,520 . This is our denominator.

Now that we know how many total 6 cards hands there are in a normal deck, we need to find the numerator, which is how many 6-card hands can be made up of all hearts. Since there are 13 hearts in the deck, we can find that number with  (136)   =1,716 .

Completely written out in mathematical notation, the probability of drawing 6 cards that are all hearts, appears as follows:

(136)(526)=171620358520≈0.0000843≈0.00843%  

__________________________________________________

The second method that results in the same value can be found by multiplying together the chances of drawing the individual cards at each step, for example, there is a  1352  chance of the first card drawn being a heart,  1251  for the second, and so on.

This second method looks like:

1352×1251×1150×1049×948×847≈0.0000843≈0.00843  

Incidentally,  13!46!7!52!  is another way to notate this second method.

Personally, I find the first method to be cleaner and easier to work with, but some may find the second more intuitive.

Answer: 11/51

Step-by-step explanation: After you've picked the first card, if it's a face card then there are only 11 faces cards left, out of a total of 51. So the probability of the next card also being a face card is 11/51.

2x + 7y = 3

2x = 3 - 7y

x = [tex]\frac{3x-7}{2}[/tex]

2x + 7y = 3

7y = 3 - 2x

y = [tex]\frac{3 - 2x}{7}[/tex]