Question 34: Find the polar coordinates that do NOT describe the point on the graph. (Lesson 9.1)

The cost for 1 liter of premium gasoline is $0.43 greater than the regular gasoline.

This is referred to as the total amount of money and resources which are used by companies in other to produce a good or service.

In this scenario, we were given 25 liters of regular gasoline for $58.98 or 25 liters of premium gasoline for $69.73.

Cost per litre of premium gasoline is = $69.73 / 25 = $2.79.

Cost per litre of regular gasoline is = $58.98/ 25 = $2.36.

The difference is however $2.79 - $2.36 = $0.43.

Therefore the cost for 1 liter of premimum gasoline is $0.43 greater than the regular gasoline.

Read more about Cost here https://brainly.com/question/25109150

#SPJ1

The slope of a line graph, we need to pick two point on the line.

It is better to pick points that meet the grids, so we can have its exactly coordinates.

Also, since we will need the y-intercept, one of the points can be this.

The y-intercept is the point where the line intercepts the y-axis, its x value is always 0, and we can see that it happens, in this case, at y = -8, so the point is (0, -8), and the y-intercept is -8.

Now, we can look at any other point. We can see that one point that meets the grids is the point at x = 3 and y = 1, so at point (3, 1).

The slope, m, can be, then, calculated as:

So, the slope is 3.

Answers:

Slope: 3

y-intercept: (0, -8)

The line in the slope-intercept form is:

where m is the slope and b is the y value of the y-intercept.

So, in this case, we have:

Which is exactly the same as the equation given, y = 3x - 8, so the equation given corresponds to the graph given.

The final answer to the question is highlighted in the box

Total bill = $29

Tip left = 15%

The valu of the tip = 15% of $29

The value of the tip = $4.35

Let us consider the options given

$4.35 - $3 = $1.35

$4.35 - $3.5 = $0.85

$4.35 - $4 = $0.35

$4.5 - $4.35 = $0.15

Looking t the deviation from the real value of the tip ($4.35), the least deviation is $0.15. Hence, we can conclude that $4.5 is the closest to the tip.

The answer is option D ($4.50)

Let

x -----> the larger room

y -----> the smaller room

we have that

x=2y

we have

y=25 3/4 ft

Convert to an improper fraction

25 3/4=25+3/4=103/4 ft

Find the value of x

x=2y

x=2(103/4)

x=103/2 ft

Convert to mixed number

103/2=51.5=51+0.5=51 1/2 ft

he larger room

Answer:

4

Step-by-step explanation:

[tex]20 + 14 = 34[/tex]

[tex]34 - 30 = 4[/tex]

Explanation

we need to solve for n

Step 1

cross multiply

Step 2

subtract 4n in both sides

Step 3

subtract 14 in both sides,

Step 4

Finally, divide both sides by 3

I hope this helps you

As given by the question

There are given that $18.72 for 8 gallons of gas.

Now,

Since, $18.72 for 8 gallons of gas;

Then,

First calculate the price of one-gallon gas

So,

The price og one g

Step 1:

Equivalent fractions are fraction that are equal in ratio.

1/3 is equivalent to 4/12

4/12 can be simplify to 1/3 because 4 is a highest common factor of 4 and 12

When you divide by numerator ( 4) and denominator (12) by 4, the fraction result to 1/3.

Hence, 1/3 is equivalent to 4/12.

Final answer

original price = x

discount = 15%

price after discount = $17

Write an equation:

x (1-15/100) = 17

x (1-0.15 ) = 17

0.85x = 17

Solve for x:

x = 17/0.85

x = $20

Answer:

R = 75

O = 75

F = 30

Step-by-step explanation:

15x + 15x + 6x = 180

add like terms

36x = 180

divide

x = 5

The measure of angle P is 30°, angle R is 75° and angle O is 75° in triangle POR.

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

From the given triangle POR, ∠R=15x, ∠O=15x and ∠P=6x.

By using angle sum property, we get

∠P+∠O+∠R=180°

6x+15x+15x=180

36x=180

x=180/36

x=5

So, ∠R=15x=75°, ∠O=15x=75° and ∠P=6x=30°

Therefore, the measure of angle P is 30°, angle R is 75° and angle O is 75° in triangle POR.

To learn more about the angle sum property of a triangle visit:

https://brainly.com/question/8492819.

#SPJ2

Answer:

3.1 x [tex]10^{13}[/tex]

Step-by-step explanation:

[tex]\frac{2x10^{20} }{6.37x10^{6} }[/tex]

3/6.37 is about .31

When you are dividing with powers, you subtract the exponents

20 - 6 = 14

.31 x [tex]10^{14}[/tex]  This is not in scientific notation because .31 is less than 1

3.1 x [tex]10^{-1}[/tex]x[tex]10^{14}[/tex]  When we multiply powers with the same base we add the exponents

3.1 x [tex]10^{13}[/tex]

In a linear equation both variables are dependent on each other

Then to find x

first reorder and put x as one term only

x = (22- 2y)/5

now replace y by its given value y= 1

then x= (22- 2•1)/5 = 20/5= 4

To determine the better buy you have to calculate how much one package costs in each shop.

1) 6 packages cost $15.00

If you use cross multiplication you can determine how much 1 package costs:

6 packs ______$15.00

1 pack _______$x

Each package costs $2.5

2) 5 packages cost $13.25

5packs_____$13.25

1 pack______$x

Each package costs $2.65

For the second purchase each package cost $0.15 more than in the first purchase.

Is best to buy the 6 packages at $15.00

-5x - 3y = -16

-3x + 2y = -21

Solving for y the first equation:

-5x + 16 = 3y

y = (-5/3)x + (16/3)

Using this value of y into the second equation:

-3x + 2(-5/3)x + 2(16/3) = -21

-3x - (10/3)x + 32/3 = -21

Multiplying all by 3:

-9x - 10x + 32 = -63

-19x = -63 - 32 = -95

x = 95/19

Using this value of x into the y we found with the first equation:

y = (-5/3)x + 16/3

y = (-5/3)(95/19) + 16/3 = -475/57+ 304/57 = -171/57

y = -171/57

x = -31/19 = -1.6315

y = -171/57 = -3

Answer:

x = -1.6315

y = -3

In an Isosceles trapezoid, it is known that the base angles have equal measures, and non-congruent angles are supplementary.

The non-congruent angles ∠RAP and ∠APTfrom the figure have measures 6x° and (2x+4)°, respectively.

Since they must be supplementary, it follows that their sum is 180°:

Hence, the value of x is 22. The correct option is B.

Answer:B

Step-by-step explanation:just took the test

We have to calculate the rate of change of the population P(t) at January 1, 1970 (t = 10).

The expression for P(t) is:

The rate of change will be given by the first derivative of P(t):

Then, we can calculate the value of the rate of change when t = 10, by replacing t with 10 in the last expression. We then will get:

The population, on January 1st 1970, is decreasing at a rate of 829 people per year.

Answer: numerical rate of change= -829 people per year

Given a coordinate plane

For each point, we will make a rotation about the origin

A: ( 9, 3) Clockwise by 90

The rule of rotation will be:

So, the image of A will be A' = ( 3, -9)

B: ( -4, 7 ) counterclockwise 90

the rule of rotation will be:

So, the image of B will be B' = ( -7, -4)

C: ( 6, -5) by 180

The rule of rotation will be:

so, the image of C will be C' = (-6, 5)

D: ( -8, -2) clockwise by 90

So, the image of D will be D' = ( -2, 8)

Statement Problem: R’S’T’U is a dilation image of RSTU which is the correct description of the dilation?

Solution:

R'S'T'U' is a dilation of RSTU by;

because it is reduced by that factor.

CORRECT OPTION: a reduction with scale factor

We have a equation of a line in the form:

This goes through the point (0,0).

With another point, we can graph the line.

For example, for x=2, we have:

So the point (2,-1) belongs to the line.

We can graph the line passing through those points:

The value of x after solving the expression, 15 = (x/6)-1, step by step is 96.

According to the question,

We have the following expression:

15 = (x/6)-1

Now, we can change the sides because it will not make any difference to the overall answer.

(x/6)-1 = 15

Now, we will move 1 from the left hand side to the right hand side. So, the sign will change from minus to plus.

x/6 = 15+1

x/6 = 16

Now, we will move 6 from the left hand side to right hand side. 6 is in the division on the left hand side then it will be in multiplication on the right hand side.

x = 16*6

x = 96

Hence, the value of x after solving the expression step by step is 96.

To know more about step here

https://brainly.com/question/16996355

#SPJ1

Answer:

Multiplication Property

Division Property

This can be justified using multiplication property and division property:

Multiplication property:

If both sides of equation:

3x = 9

are multiplied by 1/3, we have:

x = 3

Division property

Divide both sides of the equation:

3x = 9 by 3, we have:

x = 3

Solution:

Given:

Since x represents the number of miles traveled

y represents the total cost of the taxi ride

From the description, the number of miles the taxi will travel is between 0 and 35miles since 35 miles is the farthest it could go.

This means the domain which refers to the set of possible input values will be;

Therefore, the most appropriate domain for the solutions is;

Using the law of Sines

Consider the given triangle

Let A = 27°, the a = 11

Let B = 34°, the b = x

Substitute the values into the sine rule formula

This gives

Cross multiply

Divide both sides by sin 27

This gives

Solve for x

Therefore, the value of x is approximately 13.55

SOLUTION

From the table given, the progessive income tax for salaries of $17,001 and above is 5.75% of the income.

So, for $60,000, it will also be 5.75% of the income.

This becomes

Therefore, the answer is $3,450

Given that;

To get f(19), let's substitute 19 for x in the function f(x);

Therefore, the value of f(19) is;

I have a problem with the perimeter of a pool expressed in an unknown which corresponds to "x"

The first thing to do is to pose the corresponding equation, this corresponds to section A of the question

For the length, we have a representation of twice the width minus 6, i.e. 2x-6

For the width we simply have x

Remember that the sum of all the sides is equal to the perimeter which is 84, However, we must remember that in a rectangle we have 4 sides where there are two pairs of parallel sides, so we must multiply the length and width by 2

Now we can represent this as an equation

This is the answer A

Now let's solve the equation for part B.

In conclusion, the width of the pool is 16

Answer:

I don’t know if I can send it answer

Step-by-step explanation:

x = 9a + 1.75

slope = (100.75 - 10.75)/(10 - 9) = 90/9 = 9

offset: 10.75 = 9(1) + b

10.75 - 9 = b

1.75 = b

b = 1.75

y = mx + b

in this case: x = 9a + 1.75