At every company meeting, the president speaks for 28 minutes and then takes questions from her employees. Let q represent the number of minutes she spends answering questions and t represent the total number of minutes the meeting lasts.

Answers

Answer 1

Answer:

t = 20 + q in minutes

Step-by-step explanation:

Company meeting = president speech + questions + answers

President speech = 20 minutes

Questions and answers = q minutes

Total time spent = t minutes

Total time spent = President speech + Total time spent

t = 20 + q

The equation that represents the relationship between q and t is

t = 20 + q in minutes


Related Questions


Which statement is true?

Answers

Answer: A

Step-by-step explanation:

Square root of 35 is 5.9161

please help very urgent!!
how do you find the growth rate (like the percentage of growth each week) for an exponential function when you only have the starting value, the amount of weeks and the ending value???? (for example, a plant starts at (0,2) when it is planted, after 18 weeks it is 20 inches) how do you find out the percent of growth each week to plug it into an equation???

Answers

9514 1404 393

Answer:

  the n-th root of the ratio of ending to starting values, less 1

Step-by-step explanation:

When I have starting and ending values over a time period, I usually use those directly in the exponential equation. If you're asked for a percentage growth rate, then you have to convert the growth factor to a growth rate.

__

The exponential equation can be written ...

  f(t) = (initial value) × ((final value)/(initial value))^(t/(time period))

In your example case, this would be ...

  f(t) = 2 × (20/2)^(t/18)

  f(t) = 2(10^(t/18)) . . . . . . simplified

__

To convert this to the form ...

  f(t) = 2(1 +(growth rate))^t

recognize that ...

  (1 +(growth rate)^t = (10^(1/18))^t

So, you need to find the value of ...

  10^(1/18) = 10^(1/18) ≈ 1.13646 = 1 + 13.646%

Then the growth rate is about 13.6% each week.

__

Sometimes, you want to use this in the form ...

  f(t) = (initial value)×(1 + (growth rate))^t

and sometimes you want the form ...

  f(t) = (initial value)×e^(kt)

When you solve for k, you find it is ...

  k = ln(1 + (growth rate)) . . . . . . . . where ln(x) is the natural logarithm of x

Here, that is ...

  k = ln(10^(1/18)) = ln(10)/18 ≈ 0.12792

__

Your final growth equation could be any of ...

  f(t) = 2(10^(t/18)) . . . . . . . my personal favorite, as no rounding is involved

  f(t) = 2(1.13646^t)

  f(t) = 2e^(0.12792t)

50 POINTS An airplane is traveling at a speed of 240 miles/hour with a bearing of 110°. The wind velocity is 56 miles/hour at a bearing of 325°. What are the plane's actual speed and direction angle? (hint: the direction angle is measured from the positive x-axis in a counter-clockwise direction)
A.
The speed is 179.82 miles/hour, and the direction angle is 100.60°.
B.
The speed is 179.82 miles/hour, and the direction angle is 349.40°.
C.
The speed is 196.77 miles/hour, and the direction angle is 115.60°.
D.
The speed is 196.77 miles/hour, and the direction angle is 349.40°.

Answers

Answer:

the speed is 179.82 miles/hour .and the direction angle is 100.60

I believe you should pick A

Please help!! I need this answer please!! i will mark brainliest if correct thanks!!!

Answers

9514 1404 393

Answer:

  (0.5, -2.5)

Step-by-step explanation:

Each of the coordinates of B(1, -5) is multiplied by the scale factor, 0.5:

  B' = (0.5·1, 0.5·(-5)) = (0.5, -2.5)

The coordinates of B' are (0.5, -2.5).

Simplify the following expression
(-1+i)+(21+5i)
A. 0 -1+ (1+21) + 5i
B. 20+68
C. 20+5i
D 22+6i

Answers

Answer:

i would say the answer is 20 + 6i but thats not an answer

-1 + 21 = 20

and

i + 5i = 6i

so

20 + 6i

hope this helped!

y=-4x+10 in standard form

Answers

Ans: y+4x=10

Step-by-step explanation:

Hope this helps :) (please mark brainliest)

Answer:

4x+y=10 or B

Step-by-step explanation: isolating C/10 will give you the answer

3. What is the equation of a line parallel to y = -4x + 6 that passes through the
point (2, -1)? *

Answers

Parallel = same slope
y = -4x + b
Plug in a point
-1 = -4(2) + b
-1 = -8 + b, b = 7
Solution: y = -4x + 7

HELP DO NOT KNOW HOW TO DO THIS!!!!!!!

Answers

Answer:

x = 8

Step-by-step explanation:

( 6x + 1 ) + 90 + ( 5x + 1 ) = 180

6x + 1 + 90 + 5x + 1 = 180

11x = 88

x = 8

How do I solve this problem to find ACD

Answers

a triangle equals 180 so you do....

90+45+x=180
135+x=180
-135 -135
x= 45

angle C is 45 degrees

then theres a linear equation for angle C, so you do...

45+x=180
-45 -45

x= 135

angle ACD= 135 degrees

Answer:

x=135

Step-by-step explanation:

135 !!!!!lollllll

Michelle's car needs repairs. The mechanic said it will be $144 for parts plus $80 an hour to repair the car. How many hours can Michelle afford to pay the mechanic if she can spend no more than $384?

Answers

Answer:

3 hours

Step-by-step explanation:

Total cost = 144 + 80h

Where h = number of hours

How many hours can Michelle afford to pay the mechanic if she can spend no more than $384?

384 = 144 + 80h

Subtract 144 from both sides

384 - 144 = 144 + 80h - 144

384 - 144 = 80h

240 = 80h

Divide both sides by 80

h = 240 / 80

= 3

h = 3 hours

what is the equation of the line that has a slope of -6 and passes through the point (-1,3)

Answers

Answer:

-2,9

Step-by-step explanation:

Dont want to explain too long

1/2x+5=10 whats the value of the variable

Answers

Answer:

1/2x+5=10

subtracting 5 from both sides 1/2x+5-5=10-5

1/2x=5

divide both sides by 1/2

1/2x÷1/2=5÷1/2

x=5×2/1

x=10

to the nearest tenth

Answers

Dang your device is so dim turn it up I can’t read the question
Hii!attached is a pic of the answer!have a good day!

I NEED HELP ASAP!!!!!!!!!!

Answers

Answer:

? = 5 cm

Step-by-step explanation:

∠ E and ∠ D are congruent, thus the triangle is isosceles and the 2 sides will be congruent, that is

? = 5 cm

5 cm they are equal jdnddbfnfn

Which of the following is equivalent to the inequality
5x + 7 < 17?
A. 5x < 10
B. 5x > 10
C. 5x < 24
D. 5x > 24

Answers

Answer:

5x < 10

Step-by-step explanation:To solve this, take the 7 away from both sides, just like if you were to solve an equation. We also keep the symbol the same.

       5x < 10

Markers were placed at altitudes of 10 and 15 feet below sea level.
Enter the integer that represents the altitude closer to sea level.

Helppppppppp please

Answers

Answer:

|10|

Step-by-step explanation:

Since 10 is negative (below the sea level), 10 is 10 spaces away from zero on the number line, meaning your answer is |10|.

when written as either 8-15-17 or 15-8-17, the date August 15, 2017 has the property that the sum of the squares of the first two numbers is equal to the square of the third number. What is the first date after August 15, 2017 that has this property?

Answers

Answer:

...

Step-by-step explanation:

Determine if the two triangles are congruent. If they are, state how you know.
Can someone help me?

Answers

Answer:

C

Step-by-step explanation:

the hypotenuse and the leg of the first right angle are congruent to the other triangle's.

Adam takes a bus from school to his house. If Adam lives 20 km from
school and it takes him 10 minutes to get there, what was the average
velocity of the trip?
1.0 km/min
1.5 km/min
O2.0 km/min
O 2.5 km/min

Answers

Answer:

2.0 km/min

Step-by-step explanation:

20/2=10

Hope this helps!!!

Answer:

2.0 km/min

Step-by-step explanation:

To find the average velocity, divide the number of km by the number of minutes:

20/10

= 2

So, the average velocity of the trip was 2.0 km/min

36 - (-4) + 5+ (-10) =

Answers

Answer:

=35

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

remove parentheses, then solve

36 - (-4) + 5+ (-10) =

36 + 4 + 5 -10 // -(- turns into a plus. +(- stays the same, 10 remains negative.

35

hope this helps

A cable television repairman charges $35 to go to a customer’s home. He charges an additional $20 per hour for the repair. Petra paid the repairman a total of $85 to come to her home and make a repair. How many hours did it take for the repairs?

Answers

Answer: It took 2 and a half hours for the repairs

Step-by-step explanation:

subtract 35 dollars from the total payed of 85 dollars you're left with 50 dollars we know the repairman charges and extra 20 dollars for every hour he's doing the repairs divide the 50 dollars more she had to pay and divide it by the 20 dollars he charges per every hour he's making repairs and you'll get 2.5 hours

The number of hours used for the repair is 2 1/2 hours.

Let the number of hours used for the repair be represented by h

Based on the information given, the equation to solve the question will be:

35 + (20 × h) = 85

35 + 20h = 85

Collect like terms

20h = 85 - 35

20h = 50

Divide both side by 20

20h/20 = 50/20

h = 2.5 hours

In conclusion, it took 2 1/2 hours for the repair.

Read related link on:

https://brainly.com/question/22067581

Heya! I need a check me up lol

Answers

Answer:

That is a plant cell

Step-by-step explanation:

given the functions f(x) = 6x -3 and h(x) = 10x - 5, find the value of x for which f(x) = h(x)

Answers

6x-3=10x-5
6x-3-10x=-5
-4x=-5+3
-4x=-2
X=2/4
=1/2
Option 4

Does anyone know how to do the 1st problem!!

Answers

Divide 9 and 15 down so they equal 3 and 5 :)

Answer:

Yes, it's multiplied/divided by 3. I Don't know  what a SS AA SAS is.

Step-by-step explanation:

Please please help me with this. i beg uuuuu!!!

Answers

Answer:

a) 63

Step-by-step explanation:

Simplify the fraction 48/162 to the lowest terms.
8/19
2/3
8/27
12/27

Answers

Answer:

8/19

Step-by-step explanation:

divide 48/162 on both numbers by 6

(48 divided by 6) / (162 divided by 6)

=8/19

This problem im stuck on please help

Answers

Answer:

Step-by-step explanation:

Its the 3rd one

The 5/6 - 6/8 is the correct answer

PLEASE HELP!! Determine whether the triangles are similar. If similar state how (AA~,SSS~, or SAS~), and write a similarity statement

Answers

Answer:

Yes they are similar because of SAS similarity

Step-by-step explanation:

the side lengths are proportional to each other, and the angle in the middle of the sides is the same size, therefore it has Side Angle Side (SAS) similarity.

ΔTSR ~ ΔFEG by the SAS Similarity Theorem

What is the SAS Similarity Theorem?

SAS Similarity Theorem states that two triangles with two pairs of proportionate sides and a pair of included angle are similar to each other.

In the image given, the two triangles have:

Two pairs of proportional sides - TS/FG = TR/FE = 3.A pair of congruent included angles - ∠T ≅ ∠F.

This means they are similar by the SAS Similarity Theorem.

Therefore, ΔTSR ~ ΔFEG by the SAS Similarity Theorem.

Learn more about SAS Similarity Theorem on:

https://brainly.com/question/12960403

What is the initial value in this question y=8x+6 8 or 6?

Answers

Answer:

it should be an 8

Step-by-step explanation:

The initial value in this question y = 8x+6 will be 8 .

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The equation is given as;

y = 8x+6

We can see that the equation contains two terms that are 8x and 6.

The initial value is the first number of the first term in the equation.

Here, the first term is 8x.

Hence, the initial value in this question y = 8x+6 will be 8 .

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ2

Find the exact length of the third side.

Answers

Answer:

[tex]24x^{2} +7x^{2} =[/tex]

step-by-step explanation:

You have to solve this to get your answer. This is a case where you have to use the pythagorean theorem.

Answer:

this is a right angle triangle.

which means that we can use hypotenuse theorem to solve it.

the hypotenuse theorem:-

a^2 +b^2 =c^2

where a and b are the sides opposite to the hypotenuse.

[(the longest side) the longest side of the triangle is always opposite to the right angle]

so...

a = 24

b = 7

a^2 + b^2 = c^2

24^2 + 7^2 = c^2

576 + 49 = c^2

625 = c^2

don't stop here, you could lose marks. I have seen my classmates do this silly and small mistake and lose 1/2 a mark.

√625 = c

25 = c

thus the length of the third side is 25.

Step-by-step explanation:

i hope this helps.

have a good day :)

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