Daniel and Audrey are reading the same book. At the beginning of the month, Daniel was on page 49 and Audrey was on page 22. Daniel will read 17 pages per day and Audrey will read 20 pages per day. Let D represent the page of the book that Daniel is on at the end of t days into the month, and let A represent the page of the book that Audrey is on at the end of t days into the month. Write an equation for each situation, in terms of t, and determine what page Daniel and Audrey will be on on the day they are both on the same page.

Answer:

The answer is 6.4. And i know because 4x1.6=6.4

Answer:

yes i think so

Step-by-step explanation:

Answer:

32.36

Step-by-step explanation:

Answer:

32.36

Step-by-step explanation:

Answer:

a) 45 minutes

b) 100 km/hr

Step-by-step explanation:

a) It is the length of the horizontal line in the graph. It extends from 14:45 to 15:30 and that is 45 minutes.

b) Andy travels 50 km in 30 minutes (=0.5 hr), that's 50/0.5 = 100 km/hr.

As per linear equation, Andy stayed his sisters house for 45 minutes.

The average speed on his journey home is 100 km/hour.

"An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line."

As per the graph, Andy drove from his home to his sisters house.

Then he rested for a while there.

After that, he returned back to his home.

It is clear from the graph that, Andy stayed his sisters house

= (15:30 - 14:45) hours = 45 minutes

Again, from the graph, the distance between Andy and his sister's house is 50 k.m.

Andy return back to his home in

(16:00 - 15:30) hours

= 30 minutes

= 0.5 hours

Therefore, the average speed on his journey home is

[tex]= \frac{50}{0.5} km/hour\\= 100 km/hour[/tex]

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Answer

35.5 hours per week

Step-by-step explanation:

532.5/15=35.5

therefore 35 and half a hour per week

B)

here,

A to B = 62

C To B = 11

A to C = ?

now,

so, 62 - 11 = 51

therefore a to C Is 51 cm

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A)

Here,

A to B = 13

A to C = 26

total = ?

now,

A to B + A to C

13 + 26 = 39

Therefore,

total number is 39

Answer:

-2

Step-by-step explanation:

Notice that 1/e^2 = e^(-2), by power rules.

Now ln(e^x)=x.

So ln(1/e^2) = ln(e^(-2))=-2

Answer:

f(x)＝(x-3)*(x+5)*(x-2)*(x+2)

Answer:

7/27 or C in other words.

Step-by-step explanation:

Opposite angles in a cyclic quadrilateral are supplementary.

Therefore 3c = 4d = 180°, c = 60° and d = 45°.

Answer:

y = 18

Step-by-step explanation:

[tex] \frac{28}{36} = \frac{14}{y} [/tex]

[tex] \frac{28 \div 4}{36 \div 4} = \frac{14}{y} [/tex]

[tex] \frac{7}{9} = \frac{14}{y} [/tex]

[tex] \frac{7}{9} = \frac{14}{y} [/tex]

[tex]7y = 14 \times 9[/tex]

[tex]7y = 126[/tex]

[tex] \frac{7y}{7} = \frac{126}{7} [/tex]

[tex]y = 18[/tex]

Answer:

Step-by-step explanation:

Apply proportions

y =(36*14)/28 = 18

Answer:

Please check the explanation.

Step-by-step explanation:

If the lines are identical, there must be an infinite number of solutions. In other words, they are the coordinate of all the points on that line.

It means the lines will be overlapping. Since lines will be overlapping, it means they are the same exact line.

Given the line

3y = 2x-9

As the system of equations has an infinite number of solutions, it means the lines must be identical.

So, the other line can be obtained by multiplying the line 3y = 2x-9 by any scalar number, let say by 2.

so

6y = 4x-18 will be another line.

Thus, the system of equations become:

3y = 2x-9

6y = 4x-18

The graph is attached below.

The graph indicates that both lines are overlapping with each other. Hence, the lines will be identical and the system of the equations will have an infinite number of solutions.

Given:

The graph of a line.

To find:

The equation of line and values of m and b. Check whether it is proportional or linear.

Solution:

From the given graph it is clear that, the line passes through (0,4) and (2,0). So, the equation of line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-4=\dfrac{0-4}{2-0}(x-0)[/tex]

[tex]y-4=\dfrac{-4}{2}(x)[/tex]

[tex]y-4=-2x[/tex]

Adding 4 on both sides, we get

[tex]y=-2x+4[/tex]

On comparing this equation with slope intercept form, i.e., [tex]y=mx+b[/tex], we get

[tex]m=-2\text{ and }b=4[/tex]

All lines are linear. If a line passes through the origin then it is proportional.

From the given graph it is clear that the line is not passing through the origin, i.e., (0,0). So, it is linear not proportional.

Therefore, the value of m is -2 and the value of b is 4. The equation of line is [tex]y=-2x+4[/tex].  The line linear not proportional because it does not passing through the origin.

Answer:

c)-2 is greater than -6

Step-by-step explanation:

Answer:

(1, 2)

Step-by-step explanation:

From the graph attached,

Two lines are representing linear system of equation.

Since, solution of any system of linear equations is a common point of the two lines.

In other words, point of intersection of these lines represent the solution of linear system of equations.

Solution of the linear system of equations → (1, 2)

Answer:

I don' t understand what you need help with

You need to calculate the height of the cone which would be OV, not VB

Using Pythagorean theorem:

OV = sqrt(37^2-12^2)

OV = 35

Now you have the height to solve everything.

This is a semi circle so volume and surface area would be 1/2 of a full cone.

A) v = 1/2 x pi x r^2 x h/3

V = 1/2 x pi x 12^2 x 35/3

V = 1/2 x pi x 144 x 35/3

V = 840pi

B) sa =1/2 x pi x r(r + sqrt(h^2+r^2))

Sa = 1/2 x pi x 12(12+ sqrt(35^2+12^2))

Sa= 923.63 round as needed.

C) volume of hemisphere with 4cm diameter:

2/3 x pi x 2^3 = 5.33pi

Divide volume of semi cone by volume of hemisphere:

840pi/5.33pi = 157.5

Answer

the first one is the answer and none of the above

Step-by-step explanation:

The theorem that justifies why ΔADB ≅ ΔCBE is the: SAA congruence theorem.

The SAA congruence theorem states that two triangles can be proved to be congruent triangles if they both have two pairs of congruent angles and a pair of non-included congruent sides.

Thus:

ΔADB and ΔCBE have:

Therefore, the theorem that justifies why ΔADB ≅ ΔCBE is the: SAA congruence theorem.

Learn more about the SAA congruence theorem on:

https://brainly.com/question/2102943

Answer:

x=4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6(x+4)−8x=16

(6)(x)+(6)(4)+−8x=16(Distribute)

6x+24+−8x=16

(6x+−8x)+(24)=16(Combine Like Terms)

−2x+24=16

−2x+24=16

Step 2: Subtract 24 from both sides.

−2x+24−24=16−24

−2x=−8

Step 3: Divide both sides by -2.

-2x/-2=-8/-2

x=4

Answer:

X=8

Step-by-step explanation:

First you distribute the 6 to the x and the 4 which gives you, 6x+4x-8x=16 , From there you would add 6x and 4x which gives you 10x. Then you would subtract 8x and that gives you 2x. Now you have 2x=16, then you divide by 2 on both sides. That gives you x=8

Answer:

What are the results? What's the question?

Step-by-step explanation:

Answer: This is your answer: 3.a = 38%, b = 3%

Step-by-step explanation:

Trust me no cap

Answer:

[tex] \angle DEC [/tex]

Step-by-step explanation:

[tex] \red{\bold {\angle DEC}} [/tex] is supplementary to[tex] \angle DEA [/tex]

Answer:

y = 6/(x - 8).

Step-by-step explanation:

z = k/y    where k is a constant

2 = k/3

k = 6.

So z = 6/y

and  x = 6/y + 8

Multiply through by y:

xy = 6 + 8y

xy - 8y = 6

y(x - 8) = 6

y = 6/(x - 8)