Which one? I need help

Which One? I Need Help

Answers

Answer 1

The circle is shaded and on number 5 with the arrow is pointing in the left direction. This shows that the required solution is x ≤5

Inequality expression

Inequality are expressions that are not separated by an equal sign. Number lines on the other hand is a picture of a graduated straight line that serves as visual representation of the real numbers.

Every point of a number line is assumed to correspond to a real number, and every real number to a point.

From the given number line, you can see that  the circle is shaded and on number 5 with the arrow is pointing in the left direction. This shows that the required solution is x ≤5

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Related Questions

pls helpppp thank uuuuu

Answers

1, 3, and  5 are true

at $2\!:\!48$ what is the degree measure of the smaller angle formed by the hour and minute hands of a $12$-hour clock?

Answers

Angle between hour and minute hand= 204°

a figure which is formed by two rays or lines that shares a common endpoint is known as Angle.

The hour hand has covered 2 h and 48 min from position 12 o'clock (reference position). And in case of minute hand 22 min from reference. Required angle is angle covered by minute hand minus the angle covered by hour hand (clearly minute hand has covered greater angle in comparison with hour hand).

For calculating angle covered by minute hand:

In 60 min the min hand covers 360°

60 min = 360°

1 min = 6° ; 48 min = 288°

For calculating angle covered by hour hand:

12 h ( of hour hand) = 360°

1 h = 30°

For [2 + (48/60)] h, the angle covered= [2 + (48/60)]*30° = 84°

Angle between hour and minute hand = (288–84)° = 204°

It is the acute angle between hour and minute hand. For finding reflex angle subtract the obtained acute angle from 360°. So the reflex angle will be 299°.

Angle between hour and minute hand= 204°

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Hector surveyed 20 students in his school and asked them whether they favor or oppose a new school dress code. He found that 5 students are in favor of a new school dress code. Based on these results, Hector wants to determine how many of the 200 students in the school would favor a new dress code.

Answers

50 students of the 200 students in the school would favor a new dress code.

We will use simple cross multiplication here

For first case

no. of students surveyed = 20

no. of student agreed for a new dress code = 5

This gives us 5/20

For second case

no. of students surveyed = 200

no. of student agreed for a new dress code = x

This gives us x/200

Lets us cross multiply

5/20 = x/200

20x = 200×5

x = (200×5)/20

x = 50

What is cross multiplication?

Given an equation between two fractions or rational expressions in mathematics, particularly in primary arithmetic and elementary algebra, one might cross-multiply the equation to make it simpler or get the value of a variable.

The technique can be used to remember which things to multiply together by drawing lines that resemble the outline of a heart. It is also sometimes called as "cross your heart" technique.

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A truck can be rented from Company A for $40 a day plus $0.30 per mile. Company B charges $20 a day plus $0.80 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.​

Answers

The number of miles in a day at which the rental costs for Company A and Company B are the same is 200 miles per day

Let the truck is driven X miles per day

Charges of company A will be = 90+0.4X

Charges of company B will be =30+0.7X

Let us find out value of X when charges of both companies are same

which means that   90+0.4 X= 30+0.7X

                            90-30      = 0.7X-0.4X

                            60    = 0.3X

                             60/0.3 = X

                             X= 200

The charges of both companies will be same if truck is driven 200 miles per day

Company A will have better deal if truck is driven more than 200 miles per day ( because per mile rate of company A is less than company B)

A mile is defined as 1760 yards, or around 1.6 kilometers, in length. They traversed the desert for 600 km by car. She's only a half-mile away. singular noun. A large distance is indicated by the word "miles," particularly in the phrase "miles distant."

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Solve for the value of e.
(8e-6)°
(7e+6)°

Answers

Answer:

e = 12

======================

The two given angles form a linear pair.

Sum of the two angles is 180°, set equation and solve for e:

8e - 6 + 7e + 6 = 18015e = 180e = 180/15e = 12

Find the area of ABC with vertices A(4, -3) B(9,-3) , and C(10, −11)

Answers

The area of triangle ABC with vertices is 22 square units

How to find the area of ABC with vertices?

The vertices are given as:

A(4, -3) B(9,-3) , and C(10, −11)

The area of the triangle is calculated using

Area = 0.5 * |Ax(By - Cy) + Bx(Ay - Cy) + Cx(Ay - By)|

This gives

Area = 0.5 * |4 * (-3 + 11) + 9 * (-3 + 11) + 10 * (-3 - 3)|

Evaluate the sum of products

Area = 0.5 * |44|

Remove the absolute bracket

Area = 0.5 * 44

Evaluate

Area = 22

Hence, the area of ABC with vertices is 22 square units

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The price of one share of ABC Company declined (less) a total of $39.48 in 5 days. What was the average (division) change of the price of one share per one day?

Answers

The average (division) change of the price of one share per one day is $7.896

What was the average (division) change of the price of one share per one day?

The given parameters are

Total = $39.48

Number of days =  5 days

The average (division) change of the price of one share per one day is calculated as

Average = Total/Number of days

So, we have

Average = $39.48/5

Evaluate the quotient

Average = $7.896

Hence, the average (division) change of the price of one share per one day is $7.896

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New York State energy consumption (2008)
Transportation sector 28%
Residential sector 30%
Commercial sector 32%
Industrial sector 10%
The total energy consumption in New York State in 2008 was about 4,000 trillion btu. About how many trillion btu was consumed by the residential sector?

Answers

The energy consumes by the residential sector in 2008 was 1200 trillion btu. This is a problem from percentage.

Here, the energy consumption in different sector in New York State (2008) is

Transportation sector 28%

Residential sector 30%

Commercial sector 32%

Industrial sector 10%

So, the total energy consumption is = 28% + 30% + 32% + 10% =100%.

Therefore, the power consume by Residential sector is 4000x30% = 1200 trillion btu.

In mathematics, a percentage is a number or ratio expressed as a fraction of 100. A percentage is a dimensionless number; it has no unit of measurement.

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is 9817 completely divisible by 3​

Answers

No the answer would be 3272.3 which is not a whole number

Answer:

No

Step-by-step explanation:

To know if a number is completely divisible by 3, you can add up its digits. If its digits equal a number divisible by 3, then the number itself is divisible by 3.

9817

9 + 8 + 1 + 7

= 25

2 + 5

= 7

Since 25 isn't divisible by 3, 9817 isn't completely divisible by 3 either.

Have a lovely rest of your day! :)

SUPER URGENT AND WILL GIVE BRAINLIEST
y=[?] 115

Answers

Answer:

y = 25°

===================

From the right triangle we get the sum:

x + y = 90

From the exterior angle theorem we get the sum:

x + 2y = 115

Subtract the first equation from the second to get:

x + 2y - x - y = 115 - 90y = 25

Answer:

y = 25

Step-by-step explanation:

Solution 1:

The line X is on, is a supplementary angle.

180-115 is 65

There are two Xs

A triangle adds up to 180

180- 65- 65= 50

50/2= 25

Solution 2:

The line X is on is a supplementary angle.

180-115 is 65

180- 65 - 90 (right angle)= 25

you note that the recipe calls for two cups of butter and three eggs (plus the other ingredients) to make six dozen cookies. you call a friend and have him bring you some eggs.

Answers

The number of cookies prepared from 1.33 cups of butter are 48.

What is ratio and proportions?

A ratio in mathematics signifies how many one number appears to contain another. For instance, when there are eight oranges as well as six lemons in a fruit bowl the orange-to-lemon ratio is eight to six, or 8:6, which really is similar to the proportion 4:3.

Now, as per the given question.

In this item, we have been asked to calculate the total number of cookies that may be made by having;

Let 'x' be the cookies made by 1.33 cups of butter.

When, six dozen cookies with 2 cups of the butter = 72 cookies with 2 cups of the butter.

We will use the ratio & proportion formula to solve this problem:

a/b = c/d

Let us now enter the values:

72 cookies/ 2 cups of butter = x / 1.33 cups of butter

Cross multiplying the equations;

72 cookies × 1.33 cups of butter = x × 2 cups of butter

Thus,

x = (72 cookies × 1.33 cups of butter)/2 cups of butter

x = 48

Thus,  48 cookies will be made in proportion to 1.33 cup butter.

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The complete question is-

You are making cookies and are missing a key ingredient eggs. You have most of the other ingredients needed to make the cookies, except you have only 1.33 cups of butter and no eggs. You note that the recipe calls for two cups of butter and three eggs (plus the other ingredients) to make six dozen cookies. You call a friend and have him bring you some eggs. If you use all the butter (and get enough eggs), what number of cookies will you make?

your current wardrobe consists of eleven different items: three pairs of shoes, two pairs of pants, and six different shirts. your mom offered to buy you a new shirt or a new pair of shoes. which item (shoes or shirt) should your mom buy for you to maximize your total number of outfits (shoesshirt-pant)?

Answers

A pair of shoes gives us 48 different outfits.

What is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." from Wolfram MathWorld: linear

We will employ the basic counting principle, which states that if one task can be completed in method A and another in way B, then both tasks may be completed in way A*B.

If mom buys 1 shirt, then total shirts(A) = 6+1 =7, total pants(B) = 2 and total shoes (C) = 3

By basic counting principle, number of outfits = A*B*C = 7*2*3 = 42 outfits possible

and

If mom buys 1 pair of shoes, then total shirts(A) = 6, total pants(B) = 2 and total shoes (C) = 3+1 = 4

By basic counting principle, number of outfits = A*B*C = 6*2*4 = 48 outfits possible

hence, buying a pair of shoes gives us 48 different outfits.

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What is the equation of the line that is parallel to the line y =
Oy=-x+3
O y=-x+7
Oy= 3x - 13
Oy= 3x +5
-x+4 and passes through the point (6, 5)?

Answers

Answer:

Step-by-step explanation:

x=4 is a vertical line.

horizontal line through (-6,5): y=5

y=6 is a horizontal line.

vertical line through (-6,5): x=-6

The equation of line parallel to y = -( 1/3 )x + 4 and passing through the point P ( 6 , 5 ) is y = -( 1/3 )x + 7

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

y = -( 1/3 )x + 4

Let the first point be P ( 6 , 5 )

Slope m = -1/3

The parallel lines have the same slope , so the point-slope form of the equation of a line to find the equation of the line passing through P(6,5) with slope -1/3 is

y - 5 = ( -1/3 ) ( x - 6 )

Adding 5 on both sides , we get

y = ( -1/3 )x + 2 + 5

y = -( 1/3 )x + 7

Hence , the equation of line is y = -( 1/3 )x + 7

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The complete question is attached below :

What is the equation of the line that is parallel to the line y = -1/3x + 4 and passes through the point (6, 5)?

A) y = -1/3x + 3

B) y= -1/3x + 7

C) y= 3x - 13

D) y= 3x + 5

Hey guys i need help with numbers 3-7

Answers

Answer:

I don't know what u wanted me to solve for but here you go

Step-by-step explanation:

Write the equation of the line in fully simplified slope-intercept form.
-12-11-10-9-8
4-3-2
12
2H298NON-
10
-10
1 2 3 4 5 6 7 8 9 10 11 12 1

Answers

Answer:

y = -4x -4

Step-by-step explanation:

we need to get two points to calculate the gradient

points chosen are (-2,3) and (-3,7)

Gradient = change in y coordinates/ change in X coordinates

G = (7-3)/(-3- -2)

= 4/-1

= -4

to write the equation in slope -intercept form we need one known point (-2,3) and one unknown point (X,y) and the gradient.

G = ∆y/∆x

-4 = (y - 3)/ (X - -2)

-4 = (y-3)/ (X+2)

we now cross multiply

-4(X + 2) = y - 3

-4x -8 = y-3

-4x -8+4 = y

y = -4x -4

In a class of 20 students, 5 are left handed. What percentage of students are right handed?

Answers

Total number of students in class = 20
Number of students who are left handed = 3
Percentage of students who are left handed in class =
=
=
= 15%
Hence the percentage of students who are left handed in class is 15%

Answer: 75%

Step-by-step explanation:

20-5=15 right handed  students

[tex]\displaystyle\\\frac{15}{20}*100\% =\\\\\frac{15*20*5}{20} \%=\\\\15*5\%=\\\\75\%\ -\ percentage\ of\ students\ are\ right\ handed[/tex]

−2(−x−3)−4x−1= 13 solve for x

Answers

2x+6-4x-1=13

2x+5=13

2x=8

x=4

-2(-x-3)-4x-1=13
Looking at this equation/expression, to solve the left portion of the equal sign, we must first go through PEMDAS.
P is for parentheses, e is for exponents, m is for multiplication, d is for division, a is for addition an s is for subtraction.
What can we do first?
Well, I see parentheses, but there’s a number in front of it, so that indicates that we need to distribute. And even if we try to simplify what’s in the parentheses, we can’t. Because there’s a variable and a number. Those two don’t match up.
So, to show the distribution of -2(-x-3) is as follow:
(-2*-x)-(-2*-3)
Both are being multiplied by negatives, so as we know, a negative times a negative equals a positive.
-2*-x= 2x and -2*-3= 6
Because they’re both positive, the subtraction sign that was there in the original expression can change to an addition sign.
2x+6 is how it should look.
Now insert that expression into the entirety of the expression/equation.
2x+6-4x-1=13
The next step is to combine like terms.
2x and -4x are like terms as well as +6 and -1.
2x-4x=-2x; Notice that the first term is smaller than the second term, so it’ll go into the negatives because of that.
6-1=5; easy and simple math.
Now, we can put the expression/equation back together in two ways.
One is: -2x+5=13
Another is: 5-2x=13
Essentially, they are the same.
We’ll use -2x+5=13 since it’ll be more convenient to display the oncoming steps.
Then, we’ll subtract the 5 on both sides as follows:
-2x+5=13
-5 -5
The -2x stays there on the side that it is on while the +5 is eliminated because subtraction is the reverse of addition.
13 minus 5 is 8.
The equation/expression should look like this:
-2x=8
Lastly, we divide by -2 on both sides resulting in -2x to become just x and 8 to become -4 since a negative times a negative equals a positive.
Thus, the final solution is x=-4.
To check if it’s correct, insert the term -4 for each x within the equation.

Hope this helps.

Anna is the middle of three siblings whose ages are consecutive integers. If the sum of their ages is 8181, find Anna's age.

Answers

Answer:

27

Step-by-step explanation:

Say the youngest sibling is a. Anna would be a+1, and the oldest would be a+2. If the sum of all of them are 81, then 3a+3 = 81. minus three on both sides, and you get 78. So 3a = 78/3 = 26. if the youngest is 26, then Anna will be a + 1 so 27.

The age of Anna where she is the middle of three siblings is 27 years.

Given data:

Let's represent Anna's age as "x." Since Anna is the middle sibling, the ages of her siblings would be x - 1 and x + 1, since they are consecutive integers.

According to the information given, the sum of their ages is 8181:

x + (x - 1) + (x + 1) = 81

Now, combine like terms:

3x = 81

Divide both sides by 3:

On simplifying the equation:

x = 81/3

x = 27

Hence, Anna's age is 27 years.

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The complete question is attached below:

Anna is the middle of three siblings whose ages are consecutive integers. If the sum of their ages is 81, find Anna's age.

The length of a rectangle is 3ft longer than its width. If the perimeter of the rectangle is 66ft , find its length and width.

Answers

The perimeter is 66 and the length is 3ft longer than the width. The width is w and the length is 2(3+w).

For width:

66 = 2w + 2(3+w)

66 = 2w + 6 + 2w

60 = 2w + 2w

60 = 4w

15 = width



For length:

3 + 15 = 18

The length is 18 and the width is 15

The 100 m world record was completed at an average speed of 37.6 km/h. Work out this speed in metres per second (m/s). Give your answer correct to one decimal place (1 d.p).

Answers

The average speed in meters per second is 10.4 m/s.

What is the average speed in meters per second?

Average speed is the total distance travelled per time. Average speed can be determined by dividing total distance by

Average speed = total distance / total time

The first step is to convert kilometer to meter: 1000 meter = 1 kilometer

The second step is to convert hours to seconds:

1 hour = 60 minutes

1 minute = 60 seconds

1 hour = 60 x 60 seconds

1 hour = 3,600 seconds

Multiply the average speed by 1000 meters and divide by 3,600 seconds.

37.6 x (1,000 / 3,600)  = 10.44 m / s

10.4 m/s (1 d.p)

In order to round off to one decimal place, if the hundredth figure is less than 5, there is no change in the tenth digit. Digits that are less than the tenth digit are removed.

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[tex]y=x(\frac{ab}{a-b})[/tex]
SOLVE FOR A

(Right answer gets Brainliest and 30 points!)

Answers

Solving the given equation y = x(ab/a - b) for a, we have: a = by/(y - bx).

How to Solve an Equation?

To solve an equation for a given variable is to make the variable the subject of the formula. To do this, isolate the variable to one side of the equation using appropriate properties of equality.

Given the equation,

y = x(ab/a - b)

Multiply both sides by 1/x

y/x = ab/(a - b)

Multiply both sides by (a - b)

y/x × (a - b) = ab/(a - b) × (a - b)

y(a - b)/x = ab

(ay - by)/x = ab

ay - by = abx

ay - by + by = abx + by

ay = abx + by

ay - abx = abx + by - abx

ay - abx = by

a(y - bx) = by

Divide both sides by (y - bx):

a(y - bx)/(y - bx) = by/(y - bx)   [division property of equality]

a = by/(y - bx)

Thus, solving the given equation y = x(ab/a - b) for a, we have: a = by/(y - bx).

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What’s a word problem that you can model by the quotient of 2 1/2 divided by 3/4

Answers

The quotient is 10/3 .

Sharing something equally is one way to view division.

Whatever we all equally share in this problem must be a part, not a whole. What are some examples of things we typically consider to be parts? We do, however, discuss food in casually.

3/4  of a pan of brownies or 2 1/2slices of pizza could be included. Additionally, we weigh some goods in division of a pound, notably bulk foods and sweets.

There are some materials that we purchase in division of a whole, such as lengths of fabric, rope, or ribbon that are sold in units of a yard. Any of those objects could be divided into equal portions as part of your word puzzle. Here are two illustrations:

At the supermarket, Dayana and her 3/4 friends purchased a candy bag weighing 2 1/2  lb. How much candy will each individual receive if they decide to divide it equally?

(2 1/2)/(3/4)= (5/2)/(3/4)= (5[tex]\times[/tex]4)/(3[tex]\times[/tex]2)=20/6=10/3

The quotient is 10/3 .

This means that after Dayana cuts each piece of board, its length will be  10/3 yards.

Therefore, the quotient is 10/3.

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Josh wanted to buy a new shirt for a school dance. At the store, he couldn't decide between a purple plaid shirt and a scarlet striped shirt. Since the shirts were on sale for $19.95 each, Josh decided to buy them both. He saved a total of $9.10. If he saved the same amount on each shirt, what was the original price of each one?

Answers

Answer:

$29.05

Step-by-step explanation:

First, you have to multiply $19.95 by 2 since he bought 2 shirts that were the same price. 19.95 times 2 is a total of $39.90. It says that he saved $9.10 on both shirts so, in order to see the original price of the shirts, you would have to multiply $9.10 times 2 which is $18.20. Now you need to add 39.90 to 18.20 which is $58.10. You just need to divide that by 2 which will give you $29.05.  Each shirt's orignial price was $29.05

Hope that helps you out :D

Find an equation for the line that passes through the points (4, - 4) and (-6, 2).

Answers

Answer:

y = -0.6x - 1.6.

What is the fractional equivalent of 34%?
A) 17/200
B) 35/10
C) 17/50
D) 35/1

Answers

C. you’re answer is 17/50

2 2/7:(0.6x)=4/21:0.25

Answers

Answer:

x = 5

Step-by-step explanation:

Given:

[tex]2 \frac{2}{7}:(0.6x)=\dfrac{4}{21}:0.25[/tex]

Convert the mixed number into an improper fraction by multiplying the whole number with the denominator of the fraction, adding it to the numerator of the fraction, and placing it all over the denominator of the fraction:

[tex]\implies 2\frac{2}{7}=\dfrac{2 \times 7+2}{7}=\dfrac{16}{7}[/tex]

Therefore:

[tex]\implies \dfrac{16}{7}:(0.6x)=\dfrac{4}{21}:0.25[/tex]

[tex]\implies \dfrac{\frac{16}{7}}{0.6x}=\dfrac{\frac{4}{21}}{0.25}[/tex]

Cross multiply:

[tex]\implies \dfrac{16}{7} \times 0.25 = \dfrac{4}{21} \times 0.6x[/tex]

[tex]\implies \dfrac{16\times 0.25}{7} = \dfrac{4\times 0.6x}{21}[/tex]

[tex]\implies \dfrac{4}{7} = \dfrac{2.4x}{21}[/tex]

Cross multiply again:

[tex]\implies 4 \times 21=2.4x \times 7[/tex]

[tex]\implies 84=16.8x[/tex]

Divide both sides by 16.8:

[tex]\implies \dfrac{84}{16.8}=\dfrac{16.8x}{16.8}[/tex]

[tex]\implies 5=x[/tex]

[tex]\implies x=5[/tex]

Answer:

The value of x is 5.

Step-by-step explanation:

Let's solve for the value of x,

→ 2 2/7 : (0.6x) = 4/21 : 0.25

→ 16/7 : (0.6x) = 4/21 : 0.25

→ (16/7) × 0.25 = (4/21) × 0.6x

→ 4/7 = (2.4x)/21

→ 2.4x × 7 = 4 × 21

→ 16.8x = 84

→ x = 84/16.8

→ [ x = 5 ]

Hence, the value of x is 5.

-2x+3y >=1 -5x+6y<=1

Answers

Answer:

x = 1 and y = 1

Step-by-step explanation:

Solve for B b + 13 = 18

Answers

Answer:

b=5

Step-by-step explanation:

Here,

b + 13 = 18

or, b = 18 - 13

or, b = 5

Hence, b=5

Answer:

B = 5/b, b  0

Step-by-step explanation:

Bb+13=18

Subtract 13 from both sides.

Bb=18−13

Subtract 13 from 18 to get 5.

Bb=5

The equation is in standard form.

bB=5

Divide both sides by b.

b

bB

=

b

5

Dividing by b undoes the multiplication by b.

B=

b

5

mr. lopez is spreading pebbles around a water garden. he spreads 2 cubic yards of pebbles in 3 4 hour. at this rate, how many cubic yards of pebbles can he spread in one hour? cubic yards in one hour answer

Answers

Mr. Lopez spread the stones at a pace of 0.059 cubic yards per hour.

What is rate of change?

A rate in mathematics is the comparison of two related values expressed in different units. The numerator of the ratio indicates the rate of change in the other (dependent) variable if the denominator of the ratio is written as a single unit of one of these quantities, and if it is assumed that this quantity may be modified systematically (i.e., is an independent variable).

"Per unit of time" is a frequent sort of rate, and examples include speed, heart rate, and flux. Exchange rates, literacy rates, and electric field ratios are examples of ratios with a non-time denominator (in volts per meter).

The word "per" is used to denote the division of the units of the two measurements that make up a rate when discussing its units (for example a heart rate is expressed "beats per minute"). A rate that is defined using two numbers of the same units will provide a dimensionless quantity that can be stated as a percentage (for instance, the global literacy rate in 1998 was 80%), fraction, or multiple. Examples of these rates include tax rates and literacy rates.  

2/34 = 0.0588 equals to 0.059 ( approximately).

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8. A doctor allows 15 minutes for routine office visits and 45 minutes for full physicals. The doctor cannot do
more than 10 physicals per day. She schedules at least 8 routine visits per day but not more than 12 routine
visits. The doctor has 9 available hours for appointments each day. A routine visit costs $60 and a full physical
costs $70. How many routine office visits and full physicals should the doctor schedule to maximize her
income for the day? What is the maximum income?

Answers

The maximum income the doctor can get in a day is $1280

Time required for routine office visits = 15 minutes

Time required for physical visits = 45 minutes

Maximum physical visits possible in a day = 10

Maximum routine visits possible in a day = 12

Available hours for appointment = 9 hours or 540 minutes

Cost of routine appointment = $60

Cost of physical appointment = $70

In order to maximize income, she should do maximum possible routine visits as it gives more return in less time and the remaining time can be used to do physical visits, therefore:

No. of routine visits the doctor should do = 12

Time consumed in 12 visits = 12*15 = 180 minutes

Time remaining = 360 minutes

No. of physical visits she should do = 8

Time consumed in 8 physical visits = 8*45 = 360 minutes

Total income the doctor will generate in a day  = 12*60 + 8*70

= 720 + 560 = $1280

Hence, the maximum income of the doctor will be $1280

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