The auditorium will be full after 80 minutes
The total number of seats in the auditorium is the sum of all the people in the auditorium when it is full
Total number of people in the auditorium = 300
Every 10 minutes,15 people leave and 40 people sit down
Number of people joining the room every 10 minutes = 40 - 15
Number of people joining the room every 10 minutes = 25
The number of people originally in the room = 100
Number of people remaining for the auditorium to get full = 300 - 100
Number of people remaining for the auditorium to get full = 200
Number of times 25 people join the auditorium = 200/25
Number of times 25 people join the auditorium = 8
Since 25 people join every 10 minutes for 8 different times:
Time taken for the auditorium to be full = 10(8)
Time taken for the auditorium to be full = 80 minutes
Therefore, the auditorium will be full after 80 minutes
Learn more here: https://brainly.com/question/24962274
1. Translate the following sentence into an equation and solve. The
product of five and the sum of a number x and three is twelve .?
Answer:
5*(x+3) = 12
Step-by-step explanation:
Product means multiply
Sum means add
Is means equals
product of five and the sum of a number x and three is twelve
5*(x+3) = 12
pleaaaaaaaaaaseeeeeeeee heeeeeeeeeeeelllllllllllllllllpppppppppppppppppp
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
When dividing exponents, you can subtract them from eachother.
So, x^2/x = x y^3/y^-3=y^6 z^2/z^2 = z^0 = 1
what is 3/8 as a desimle
Answer:
0.375
Step-by-step explanation:
Answer:
decimal is 0.375.
Step-by-step explanation:
just divide 8 by 3
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Answer:
thanks for the point
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ASAP HELP 100 POINTS
Answer:
m∠1 = 180° - 46° = 134° ⇒ Consecutive interior angles are supplementarym∠2 = 46 ⇒ Alternate interior angles are congruentAnswer:
m∠1 = 180° - 46° = 134° ⇒ Consecutive interior angles are supplementary
m∠2 = 46 ⇒ Alternate interior angles are congruent
Step-by-step explanation:
The length of the subway is 113 miles. if 4.1 inches represents 677 miles, what is the length of the subway on the map? Round your answer to the nearest
hundredth if needed.
Answer:
0.68 inches (nearest hundredth)
Step-by-step explanation:
First, find the length on the map that represents 1 mile of the subway.
677 miles ----- 4.1 inches
1 mile ----- 4.1 ÷ 677= 0.0060561 inches (5 s.f.)
Multiply both sides by 113:
113 miles ----- 113(0.0060561)= 0.68 inches (nearest hundredth)
Thus, the length of the subway on the map is 0.68 inches.
Determine whether each data set represents a function. Part A and B
Answer:
Part A - Represents a function
Part B - Doesn't represent a function.
Step-by-step explanation:
A set is just a list of numbers to check. The question is asking you based on the set...
(-5, 8)
(-6, 2)
(-2, -6)
(-1, 8)
(4,6)
if it is a valid function.
At NO point should a function have multiple x values. This fails the Vertical Line Test if visualized on a graph.
For Part A, there are no duplicate x values, meaning this function is valid.
For Part B, there is a duplicate x value - (2,9) & (2,4). Because of this, immediately the function is invalid. There can not be any duplicate x values in a valid function, PERIOD. If graphed, it fails the vertical line test.
What is the slope of the line that passes through the points (−10,0) and (-13, 3) ? Write your answer in simplest form.
Answer:
A slope of -1
Step-by-step explanation:
use the slope formula
Graph by using the slope and the y intercept.
1. a) equation of the line :
[tex]y = \dfrac{2}{5}x - 7[/tex]y - intercept = -7
so, it will pass through point (0, -7)
and if we plug the value of x as 5, we get
[tex]y = (\dfrac{2}{5} \times 5) - 7[/tex][tex]y = 2 - 7[/tex][tex] = - 5[/tex]so, it will pass through point (5, -5) too
now, just plot the points (0 , -7) and (5 , -5) and join them.
2. b) equation of line is :
[tex]y = - 3x + 5[/tex]here, y - intercept = 5
so the line passes through point (0 , 5)
now, Plugging the value of x = 1 we get :
[tex]y =( - 3 \times 1) + 5[/tex][tex]y = - 3 + 5[/tex][tex]y = 2[/tex]so, the given line passes through point (1 , 2)
plotting the points, we can get our required line.
The equation of line j is y =-5/8x+4/9. Line k is parallel to line j. What is the slope of line k?
Answer:
using the formula
y= mx+ c
comparing these;
m= -5/8
when two lines are parallel they are always equal
so the slope of line k= -5/8
Step-by-step explanation:
PLS MARK BRAINLIEST
Solve 3x + 5 = 10 for x.
Answer:
x = 5/3
Step-by-step explanation:
Solve for x:
3 x + 5 = 10
Subtract 5 from both sides:
3 x + (5 - 5) = 10 - 5
5 - 5 = 0:
3 x = 10 - 5
10 - 5 = 5:
3 x = 5
Divide both sides of 3 x = 5 by 3:
(3 x)/3 = 5/3
3/3 = 1:
Answer: x = 5/3
Step-by-step explanation:
To solve for x, make it the subject of the equation and simplify:
3x + 5 = 10 [subtract five from both sides]
3x = 5 [divide both sides by three]
x = ⁵/₃
A plumber charges $75.00 each hour she works at your house and a $130.00 fee for the visit. At most it will take her is 4 hours to do the work.
what is 200x350+23-7
Answer:
70,016
Step-by-step explanation:
PEMDAS (parenthesis, exponents, multiplication, division, addition, subtraction)
for this problem, we have to multiply first!
1) 200 x 350 = 70000
now we have ------> 70,000 + 23 - 7
we just have to work left to right
2) 70,023 - 7
3) 70,016
let me know if you have any other questions!
1 basic algebreh im sloe hlp me
Answer:
-11
Step-by-step explanation:
it just is ok im smart
Answer:
-11
Step-by-step explanation:
bc yes
5 right triangles are shown. Triangles 1, 2 and 4 have identical side lengths and angle measures. Triangle 4 is shifted down and to the right of triangle 1. Triangle 2 is rotated 180 degrees from triangle 1. Triangle 3 has a shorter base length measurement. Triangle 5 is larger than triangle 1.
Which figure is a translation of figure 1?
Figure
4
Answer:
DILATION
Step-by-step explanation:
5 right triangles are shown. Triangles 1, 2 and 4 have identical side lengths and angle measures. Triangle 4 is
Answer: 4
Step-by-step explanation: i hope this helps :)
A
B
How many degrees must
Figure A be rotated
counterclockwise around
the origin in order to line
up with Figure B?
A. 90
B. 180
C. 270
D. 360
Answer:
[tex]\boxed{Hiya!}[/tex]
[tex]\text{My Answer would be A. 90}[/tex]
Step-by-step explanation:
If you Look at the shape closely We can see that it is a right triangle (Figure A)
and Figure B is turned upside down. So if we turn the right angle counterclock wise 90° We would end up with (Figure A) looking the same as (Figure B)
12. Zachary Tylar 72% commission? earns commission on sales of $4,255. What is his commission
Answer:
$3063.6
Step-by-step explanation:
72% of $4,255 = $3063.6
The formula for finding percents is number x percent ÷ 100.
4,255 x 72 ÷ 100 = 3063.6
HERE IS ANOTHER ONE WHERE YOU WILL GET 40 POINTS IF YOU ANSWER IT CORRECTLY. THE ONES THAT ARE IN GREY ARE THE ANSWER OPTIONS.
Answer:
Option A is the correct answer
help me please !!!!!!!!!!
1) 2m-1=3m
2) 2m=1+m
3) 3= 1+m
4) -2+m=1
5) 2+m=3
6) m-1=2
Hope this helped you- have a good day bro cya)
Why is everything so fast
Answer:
Because your mind make you think that
Answer: Time doesn't wait for you
put these fractions in order from least to greatest
6/11 1/8 8/12
Answer: 6/11 1/8 8/12
Step-by-step explanation:
Which of these inequalities expresses all of the solutions to 4 <= 8-2x<6
Answer:
1 < x ≤ 2
4 ≤ -2(x-4) < 6
Number line see attached. x = 2
Step-by-step explanation:
4< = 8-2x < 6
4 ≤ -2(x-4) < 6
1 < x ≤ 2
In 5 games, a footballer scores: 1 2 1 3 0 What is the median? What is the range?
Answer:
Median= 1
Range= 2
Step-by-step explanation:
Median is the middle number, 1
The Range is the highest number subtracted from the lowest number (3-1)
Suppose the water level of a river is 34 feet. It recedes 1/2 foot a day. What is the equation you could use to calculate the water for a specific day?
[tex]Answer : 34-\dfrac{1}{2} n \ \ ; \ \ \rm where \ n \ is \ the \ number\ of \ days[/tex]
Answer:
f(x) = -1/2x + 34Step-by-step explanation:
This is a linear relationship.
Using the slope intercept form:
y = mx + bGiven:
The y-intercept is b = 34The slope is m = -1/2The equation is:
f(x) = -1/2x + 34, where x is the number of dayssomeone please explain how to do the last one. I don’t want the answer, i just need to learn how to do it:) please help with m
Answer:
m∠y = 50 (Due to A)
m∠x = 50 (Due to F)
Step-by-step explanation:
Due to corresponding angles,
x = y = 50
Also, another thing... You wrote 60 degrees as your answer for the first part, you did a slight miscalculation.
180 - 130 = 50
So the answer for the first part is 50 degrees. However, the reasoning is correct!
Feel free to mark this as brainliest!
HELP WILL MARK YOU BRAINLIEST, PLS I NEED ASAP
Answer:
Pizza 1: lenght(l)=16 and width(w)=4
Perimeter=40in.
Pizza 2: l=32 and w=2
Perimeter=68in.
Step-by-step explanation:
1. List down factors of 64.
64=1,2,4,8,16,32,64
2. Select the factors you'll be using to draw your rectangles. In this case I selected the factors 2,4,16 and 32 because area of rectangle=l×w. Therefore 2×32=64 and 4×16=64.
3. Draw your rectangles according to the measurements you chose. If the drawing is too big to fit the box you can simply use a scale. Such as 1 inch=4 inches on your drawing. For example, when drawing the length of the second Pizza which is 32in. you can simply draw a line of 8 inches.
4. After drawing your pizzas you niw have to find the Perimeter of both. Simply use the formula Perimeter of a rectangle=2(l+w)
Pizza 1: Perimeter=2(16+4)
=2×20
=40in.
Now do the same for Pizza 2 using its own lengjt and width. Hope this helped.
arrange _2 1/2,5 1/2,3 1/2,1 1/2,_1/2in order of increasing size to give a sequence and find the rule which gives the sequence
626828282828288w8282
OMG please help me! Please!
Answer:
(2,4)
X always comes before Y. So the X is 2 and the Y is 4, so (2,4).
0.5 of what number is 12 and what is the equation to represent this problem? Include a variable
look at the following numbers: -5, -6, 0, 6 Which pair of numbers has a sum of zero
Answer:
6 and -6 because the positive 6 equals out the negative 6.