Work Shown:
[tex]f(x) = -2(0.8)^x\\\\f(0) = -2(0.8)^0\\\\f(0) = -2(1)\\\\f(0) = -2\\\\[/tex]
In the third step, I used the idea that [tex]x^0 = 1[/tex] where x is any nonzero number.
Mr. Accardi sold 600 tickets for the high school play. If adult tickets cost $6.00 each and student tickets cost $4.00 each, how many of each type of ticket did he sell if $2,900.00 was collected in ticket money?
Given:
Total number of tickets = 600
Cost of adult ticket = $6.00
Cost of student ticket = $4.00
Total sales = $2900.00
To find:
The number of tickets of each type.
Solution:
Let the number of adult tickets be x and number of student tickets be y.
According to the question,
[tex]x+y=600[/tex] ...(i)
[tex]6x+4y=2900[/tex] ...(ii)
Multiply equation (i) by 4 and subtract the result from (ii),
[tex]6x+4y-4(x+y)=2900-4\times 600[/tex]
[tex]6x+4y-4x-4y=2900-2400[/tex]
[tex]2x=500[/tex]
Divide both sides of 2.
[tex]x=250[/tex]
Put x=250 in (i).
[tex]250+y=600[/tex]
[tex]y=600-250[/tex]
[tex]y=350[/tex]
Therefore, number of adult tickets is 250 and number of student tickets is 350.
What is an equation of the line that passes through the points (3, 1) and (4,4)?
Answer:
Step-by-step explanation:
y2-y1
x2-x1=
4-3
4-1 = 1/3
y=1/3x
Ms. Smith bakes 6 cookies in 15 minutes.
will it take her to bake 48 cookies?
How many hours
Answer:
120 minutes or 2 hours I think
Step-by-step explanation:
ok so you want to figure out how many hours it will take for her to bake 48 cookies. It takes 15 minutes to bake 6 cookies.
So 6x8=48 cookies.
Multiply 15 minutes times 8 since one batch of cookies (6) 15 minutes long and she wants to bake 48 cookies.
15x8=120
That's 120 minutes, but you want how many HOURS it takes.
there are 60 minutes on a hour so you will take 120 divided by 60
120/60= 2
To check, multiply 60x2= 120.
Hope this helps!
I need help ASAP
3k+30=95+k+2k-5
Anthropologists and archaeologists study the cultures, languages, archaeological remains, and physical characteristics of people across the world and through time. Typically, they conduct research to answer questions and test hypotheses about human behavior and culture.
Answer:
ummm there's no question dude but it's good to know that because i never knew that
Step-by-step explanation:
...
Important phases of Newton's education and scientific work occurred in isolation. Why might this have been helpful to him? On the other hand, why is working in isolation problematic for developing scientific ideas?
Answer:
Step-by-step explanation:
This might have been helpful to Newton as it allowed him to focus more clearly on his ideas. Newton was incredibly talented and ahead of his time in his field, which being in isolation helped him focus and develop on his ideas. This is not the case for the majority, most scientists tend to focus on a single aspect of a problem, usually the aspect that they have the most experience in. This can lead to them being blinded and not being able to see the possible solution. That is why working with others that are able to view the problem from a different perspective can help greatly.
Working in isolation might have helped Newton focus clearly on his ideas.
Working in isolation might be problematic in developing scientific ideas because of the tendency of having a narrow perspective about a problem and not being able to find possible solution.
What is Working in Isolation?Working in isolation means to work remotely or alone without the input or help from other people.
Working in isolation might have been helpful to Newton, who was quite talented, as it may have enabled him focus clearly on his ideas.
Why Might Working in Isolation Problematic?1. Tendency of having a narrow perspective about a problem.
2. Probability of not being able to find possible solution.
In summary, working in isolation might have helped Newton focus clearly on his ideas.
Working in isolation might be problematic in developing scientific ideas because of the tendency of having a narrow perspective about a problem and not being able to find possible solution.
Learn more about working in isolation on:
https://brainly.com/question/7353006
Omar wants to purchase a new bicycle for $134.45 and helmet for $22.55.
If the sales tax rate is 8%, what will be the total amount of sales tax?
Answer:
12.56
Step-by-step explanation:
143.45+22.55=157.00
157×.08= 12.56
Ryan wrote a total of 8 pages over 2 hours. How many hours will Ryan have to spend writing
this week in order to have written a total of 48 pages? Assume the relationship is directly
proportional
Answer:
12 Hours
Step-by-step explanation:
So it says he writes 8 pages in 2 hours. Which would mean he takes an hour to write 4 pages. You divide 48 pages by 4 hours and you get 12.
What is the missing number in the solution to 958 ÷ 10?
Answer:
B.)58?
Step-by-step explanation:
Hope I helped..
Answer:
b: 58
Step-by-step explanation:
What is the equation of the line ?
what is the least degree of a polynomial equation that has 3 (multiplicy of 4), -2, and 6i as roots
Answer:
-2
Step-by-step explanation:
What is the answer I need it quick 3/4 + 3/7 A 1 5/28. B 1 7/28 C 6/28 D 6/11
Answer:
33/28
Step-by-step explanation:
(3/4) + (3/7) = 33/28
~1,18
The Daytona 500 is 500 miles long. How long is the race in kilometers? (Use the school conversion sheet)
Answer:
804.672 km
Step-by-step explanation:
Answer:
It's 804.672 long in kilometers. If needed to be round then about 805 kilometers.
Step-by-step explanation:
You know that:
1 mile = 1.609344 km
So you'll do
500 * 1.609344 = 804.672 km
Which of the following expressions is not equivalent to (-2)(8 +6+-3)?
(-2)(8 + 6) + (-2)(-3)
(-2)(8 + 6) + (-3)
(-2)(8) + (-2)(6) + (-2)(-3)
(-2)(8) + (-2)(6 +-3)
NEXT QUESTION
о
ASK FOR HELP
594
Answer:
[tex]b.)31\neq -22[/tex]
Step-by-step explanation:
Simplify each equation using PEMDAS:
Parentheses (x)
Exponents x²
Multiplication and Division, left to right × ÷
Addition and Subtraction, left to right - +
It is also important to follow PEMDAS when working within grouping symbols like parentheses.
Also, remember that two negatives make a positive, and when a negative and positive are multiplied, the result is always negative.
[tex](-2)(8+6+-3)\\\\-2*(8+6-3)\\\\-2*(14-3)\\\\-2*11\\\\-22[/tex]
Find which answer is not equal to -22.
a.) [tex](-2)(8+6)+(-2)(-3)\\\\-2*(8+6)-2*-3\\\\-2*14-2*-3\\\\-28-2*-3\\\\-28+6\\\\-22[/tex]
---------------------------------------------------
b.) [tex](-2)*(8+6)+(-3)\\\\-2*(8+6)-3\\\\-2*14-3\\\\-28-3\\\\-31[/tex]
---------------------------------------------------
c.) [tex](-2)(8)+(-2)(6)+(-2)(-3)\\\\-2*8-2*6-2*-3\\\\-16-2*6-2*-3\\\\-16-12-2*-3\\\\-16-12+6\\\\-28+6\\\\-22[/tex]
---------------------------------------------------
d.) [tex](-2)(8)+(-2)(6+-3)\\\\-2*8-2*(6-3)\\\\-2*8-2*3\\\\-16-2*3\\\\-16-6\\\\-22[/tex]
---------------------------------------------------
Option b is not equal to -22.
:Done
help me please with this question
Answer:
see explanation
Step-by-step explanation:
2B + 3C
= 2 [tex]\left[\begin{array}{ccc}4&-5\\-2&1\\\end{array}\right][/tex] + 3 [tex]\left[\begin{array}{ccc}1&-1\\-6&3\\\end{array}\right][/tex]
Multiply each element in the matrices by the scalar quantity, that is
= [tex]\left[\begin{array}{ccc}8&-10\\-4&2\\\end{array}\right][/tex] + [tex]\left[\begin{array}{ccc}3&-3\\-18&9\\\end{array}\right][/tex]
Add corresponding elements from each matrix
= [tex]\left[\begin{array}{ccc}8+3&-10-3\\-4-18&2+9\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}11&-13\\-22&11\\\end{array}\right][/tex]
Factorise fully
x2 - 42^2
Step-by-step explanation:
(x_42)(x+42)...
....
e + a = ?; where e and a are corresponding angles.
e = 55°
Answer:
e+a=110° because e and a are corresponding angles ♥️
Coach Pugh has 12 helmets and 8 footballs in his locker room. Wich ratios are equivalent to the ratio of helmets to footballs in coach pugh's locker room... (Select all that apply) ...... 1:3,,2:3,,3:2,,4:2,,6:4,,24:16
PLZ I WILL GIVE HIGH RANKING
Answer:
3:2 6:4 24:16
Step-by-step explanation:
Write an expression that represents the area in square feet of each room in the house shown. Then
write an expression that represents the area of the whole house.
• Bedroom =
• Closet =
• Bathroom =
• Total Area =
Answer:
Bedroom = x^2 ft^2
Closet = 25 ft^2
Bathroom = 6x ft^2
Total Area = x^2 + 6x + 25 ft^2
Shelley just finished a new book about a time-traveling magician. She read the same amount every day and completed the book in just 10 days! The book had 85 pages. How many pages did Shelley read each day?
Answer:
8 1/2
Step-by-step explanation:
If AC = 37 BC = 5x + 6, and AB = 2x + 3 Find BC
AC=37
BC=5X+6
AB=2X + 3
2x + 3 + 5x + 6 = 37
7x + 9 = 37
7x = 28
x = 4
BC = 5(4) + 6
BC = 26
Answer = BC = 26
EASY POINTS
Which statements are true? Check all that apply.
All rectangles are squares.
All rhombi are parallelograms.
All squares are rhombi.
All trapezoids are parallelograms.
No trapezoid is a rectangle.
Answer:
1 is true
2 is true
3 is true
Answer:
1 check
2 check
3 no check
4 no check
5 check
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!
Answer:
I think it's 169
Step-by-step explanation:
since a straight line is 180⁰ I subtracted 11
Cody rented a bicycle from Cycle Factory for $65. How many hours did Cody rent the bike for if their cost is $16 to rent the bike plus $7 per hour?
Answer: Cody rented the bike for 7 hours.
Step-by-step explanation:
$65-$16=$49
$49/$7=7 hours
Find the value of x.
Answer:
x = 5
Step-by-step explanation:
Here, from what we have, the angle and the sides facing it are equal
Since we have pi oh both sides
Thus;
6x + 6 = 9x-9
9x-6x = 9 + 6
3x = 15
x = 15/3
x = 5
hehe i need help with the whole quiz basically:I
Find the decimal that is equivalent to:
A. 1.714
B. 0.583
C. 0.0583
D.
Answer:
a
Step-by-step explanation:
math
Answer:
Don't cheat that's lame
You started a savings account with $125. Every month, you deposit $55 into your savings account. What is the linear equation that represents this relationship? y=55x−125y is equal to 55 x minus 125 y=125x+55y is equal to 125 x plus 55 y=55x+125y is equal to 55 x plus 125 y=125x−55
Answer:
Step-by-step explanation:
Given Initial deposit = $125
If each moth $55 is being deposit, the balance each month will form an AP as shown;
125, 180, 235...
The nth term of the AP is expressed as;
y = a + (x-1)d
a is the first term = 125
d is the common difference = 180- 125 = 235-180 = 55
Substitute
y = 125 + (x-1)55
y =125+55x-55
y = 70+55x
y = 55x + 70
What is the value of the expression shown below (3/5)^2+4×3-2 PLZ HELP THIS ASSIGNMENT IS DUE IN 10 MINUTES
Answer:
[tex]10\frac{9}{25}[/tex]
Step-by-step explanation:
Answer:
10 9/25
Step-by-step explanation:
i did mathsss i hope this does help tho
CAN SOMEONE PLEASE HELP FAST
Find the midpoint of the segment with the following endpoints.
(4, 2) (7, 6)
is 6.610
irrational number?
Answer:
yes
Step-by-step explanation:
An
Step-by-step explanation: