Answer:
x = -3
Step-by-step explanation:
Given the expression solved by Larry as;
3(2-3) = x
We are to find the equivalent expression x
Using the distributive law;
3(2) - 3(3) = x
6 - 9 = x
-3 = x
Swap
x = -3
Hence Larry could use the distributive law to solve the expression
A photographer charges $200 to take photos of a group of up to 6 people, and an extra $25 per additional person if there are more than 6 people. The function f(n) , the total cost in dollars, depends on n , the number of people in the group. Assuming that there are at least 6 people in the group, which function correctly represents this situation?
A
f(n)=200(n−6)+25
B
f(n)=25n+200
C
f(n)=25(n−6)+200
D
f(n)=200n+25
Answer:
C
Step-by-step explanation:
Function that represents the situation correctly is f(n)=25(n−6)+200.
What is a function?A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.
Given, a photographer charges $200 to take photos of a group of up to 6 people, and an extra $25 per additional person if there are more than 6 people.
Let n= 6 means group of 6 people.
So substituting the value n= 6;
In the option A, f(6) = 25
In the option B , f(6) = 350
In the option C , f(6) = 200
In the option D , f(6) = 1225
Here, only option C matches with the given photographer's charges for 6 people.
Therefore, function that represents the situation correctly is f(n)=25(n−6)+200.
To learn more about the function;
brainly.com/question/28303908
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hii please help smart people
Answer:
x = 73 °
Step-by-step explanation:
A pentagon has a collective degree of 540
So to find x, you have to set up an equation:
x + 127 + 112 + 108 + 120 = 540
To solve:
Combine like terms
x + 467 = 540
Subtract 467 on both sides:
x = 540 - 467
x = 73
So on earth there are about 10 000 000 000 000 000 ants and 6 000 000 000 humans.the ratio of humans to ants is approe equal to
Answer:
10,000,000,:6
Step-by-step explanation:
I think
Answer:
10^7:6
Step-by-step explanation:
[tex]10000000 = {10}^{7} [/tex]
which of the following situations could be modeled by an exponential function?
A. The water level of a tank decreases by 5 gallons every day.
B. The amount of money collected by a charity increases by $5,000 each year.
C. A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year.
D. The number of people in a stadium is decreasing at a rate of 45% every 10 minutes.
Answer: Option D.
Step-by-step explanation:
An exponential function is something like:
f(x) = A*(r)^x
Where:
A = initial amount.
r = rate of growth
x = variable.
This type of function is used to describe situations like "you have A dollars, and it increases by 30% each week"
or:
"There is a population of A animals, and it doubles each year"
Let's analyze briefly all the given options and see which one is an exponential function.
A) The water level of a tank decreases by 5 gallons every day.
This is a linear relation, if W is the initial amount of water, and x is the number of days, then the water level of the tank after x days is:
y = W - 5 gal*x
B) The amount of money collected by a charity increases by $5,000 each year.
The amount collected increases $5000 each year.
Then if in year 1 they collected A.
in year 2 they collected A + $5000
in year 3 they collected A + 2*$5000
We already can see the pattern, this is a linear relation:
in year X they colected A + (X - 1)*$5000
C) A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year.
if y is the height of the tree, and x is the number of years, this can be written as:
y = 10ft + x*2ft
Again, a linear relation.
D) The number of people in a stadium is decreasing at a rate of 45% every 10 minutes.
Let's define x as each "lapse" of 10 minutes that passes.
If N is the initial number of people in te stadium, then after 10 minutes the number of people is = N*(1 - 45%/100%) = N*(1 - 0.45) = N*0.55
After another 10 minutes, the population decreases again.
N*0.55*(1 - 45%/100%) = N*0.55*0.55 = N*0.55^2
We can see the pattern here, this can be written as
People(x) = N*(0.55)^x
This is an exponential function.
What value for x will make the equation true?
−3 ( 7x − 5 ) = 87 + 3x
A. −17/4
B. -3
C. 4
D. 17/3
Answer:
C . 4
Step-by-step explanation:
step 1 : -3 multiply with inside of the ( 7x-5 )
= -21x + 15
step 2 : then it will be 21x + 15 = 87 + 3x
step 3 : switch between the odds into like this
21x - 3x = 87 - 15
step 4 : subtract it all
18x = 72
step 5 : bring 18 to the other side
x = 72/18
step 6 : to find the ans of x is just calculate them
x = 72 ÷ 18
= 4
Or you can do like these ⬇️
-3 ( 7x - 15 ) = 87 + 3x
21x + 15 = 87 + 3x
21x - 3x = 87 - 15
18x = 72
x = 72/18 or 72÷18
x = 4
There were 845 students using Schoology in IRSD in 2017. In 2016 , there were 608 students using Schoology in the district.
51.5% of all users access Schoology on mobile devices. How many users used mobile devices in 2016?
313.120 (round as you would like)
Step-by-step explanation:
First you take the 51.5%, and divide it by 100, you should get 0.515. Now multiply with the 608 students, your answer should be 313.20, Ta Da!!! its right!! P.S You should also round (to 313) Please make this brainliest
Answer:
THIS WEBSITE SUCKS MY
Step-by-step explanation:
F IT
If Ethan uses 28 fl oz of sparkling water, how much orange juice will he use and what will be the total
amount of punch?
Ethan makes punch by mixing orange juice with
sparkling water. He uses the same ratio of orange
juice to sparkling water each time he makes punch.
The table shows some of the amounts of orange juice
and sparkling water he uses for different amounts of
punch
Use the number pad to enter your answers in the boxes
Ethan will use
fl oz of orange juice, and he will have a total of
fl oz of punch.
Orange Juice (fl oz) 7 21 28 ?
Sparkling Water (fl oz) 4 12 16 28
what is the missing number for the question mark?
Answer:
pls pls pls help me- I have the same question, it's a quiz that affects my grade immensely! If you get the answer please let me know. Im in 6th grade.
Step-by-step explanation:
If ACD~ABE find the value of x
Step-by-step explanation:
I think it is a good day and the answer is 3
pleasee help this is due
Answer:
Line across circle is diameter. Small line coming out of big line is radius. Line around circle is circumference.
Step-by-step explanation:
(x2+3x+2)+(3x2–x+1) Use algebra to find the sum
Answer: -2x²+2x+3
Step-by-step explanation:
Factoring -2x2+2x+3
The first term is, -2x2 its coefficient is -2 .
The middle term is, +2x its coefficient is 2 .
The last term, "the constant", is +3
Step-1 : Multiply the coefficient of the first term by the constant -2 • 3 = -6
Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is 2 .
-6 + 1 = -5
-3 + 2 = -1
-2 + 3 = 1
-1 + 6 = 5
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
A small town currently has a population of 15,000. Each year the population decreases by 2.25%. What will the population be in 8 years
Answer: 12,503 people
Step-by-step explanation:
This is an exponential decrease so to find the population in 8 years you have to use a future value formula:
= Amount * (1 + rate) ^ number of years
= 15,000 ( 1 + (-2.25%)) ⁸
= 15,000 * (1 - 2.25%)⁸
= 12,503.32
= 12,503 people
James has 21 cups of flour. He will pour the flour equally into 4 containers. How many cups of flour will be in each container?
Answer:
5.25 cups of flour
Step-by-step explanation:
4 containers - 21 cups of flour
1 container - 21 cups of flour ÷ 4 = 5.25 cups of flour
Answer: 5 1/4 cups of flour will be in each container
Step-by-step explanation:
21 ÷ 4= 5.25
5.25= 5 1/4
hope this helps i have no idea why i am typing in bold letters
What is the m < BDC?
Formula is S=2nr squared
If r=7 and n=3.14,calculate S rounded off to two decimal places.
Answer:
307.72
Step-by-step explanation:
S=2nr²
S=2×3.14×7²
S=307.72
Please help with explanation.
PLEASE I NEED URGENT HELP!!!!! lan and Jessica each save their quarters. Ian starts out with 34 quarters and saves 8 quarters a month. Jessica starts out with 2 quarters and saves 16 quarters a month. In how many months will Jessica have the same number of quarters as lan? How many quarters will each of them have?
Consider this complex shape.
Which statements are true regarding the symmetries of this shape? Check all that apply.
OThe order of rotational symmetry is 3.
O Symmetry occurs after a rotation of 240º.
O The smallest angle of rotational symmetry is 180º.
O The figure has 3 lines of reflectional symmetry.
O Symmetry occurs after a rotation of 60º.
-The order of rotational symmetry is 3
- Symmetry occurs after a rotation of 240
- The figure has 3 lines of reflections symmetry
explanation: right on ed
Answer:
A B and D
Step-by-step explanation:
you're welcome
brainliest
Will mark brainly
1,2,3,4, and 5 if you can:)
Answer:
1. A 2. B 3.D 4.C 5. E
Step-by-step explanation:
LCM of the following 5,8,4
Answer:
40
Step-by-step explanation:
5 x 8 = 40
8 x 5 = 40
4 x 10 = 40
Answer:
40
Step-by-step explanation:
5: 5, 10, 15, 20, 25, 30, 35, 40
8: 8, 16, 24, 32, 40
4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40
area of rectangular figures
Answer:
531 in^2
Step-by-step explanation:
21 x 18 = 378 in^2
17 x 9 = 153 in^2
378 + 153 = 531 in^2
Need help fast!!
What is value of x?
Enter your answer in the box.
Answer:
x = 27
Step-by-step explanation:
Using ratio:
[tex] \frac{10}{14} = \frac{x + 8}{2x - 5 } \\ 10(2x - 5) = 14(x + 8) \\ 20x - 50 = 14x + 112 \\ 20x - 14x = 112 + 50 \\ 6x = 162 \\ \frac{6x}{6} = \frac{162}{6} = > x = 27.[/tex]
In ΔHIJ, the measure of ∠J=90°, the measure of ∠H=8°, and HI = 30 feet. Find the length of IJ to the nearest tenth of a foot.
Answer: 4.2
Step-by-step explanation:
Sin(H)=x/30 then cross multiply
30sin(8)=x
X=4.1752... but rounded it’s 4.2
Answer:
It's 4.2
Step-by-step explanation:
You put $200 into an account earning 6% interest compounded yearly.
Write a rule to model the situation. Your answer should not include spaces and be formatted like: y=3(4)^x
Based on your equation, when will the account be worth $2500? Round your answer to the nearest hundredths place and do not include labels. Ex. 3.14
Answer:
y = 200(1.06)^xStep-by-step explanation:
Given:
Initial amount = 200Interest rate = 6% or 0.06 timesNumber of compounds = 1Number of years = xFinal amount is:
y = 200(1 + 0.06)^x ⇒y = 200(1.06)^xFind the measure of one interior angle in a regular 144-gon. Round to the nearest
tenth if necessary.
*
a)134
b)25560
c)180
d)177.5
Answer:
the answer is d
Step-by-step explanation:
10x-2x+12=2(3x+5)+2x
Answer: is this pemdas? if not there are no true solutions
Step-by-step explanation:
hope i helped
Answer:
the answer to 10x-2x+12=2(3x+5)+2x is 2
Step-by-step explanation:
step 1.
Open the brackets by multiplying the valves in the brackets by 2:
10x-2x+12=6x+10+2x
step 2.
Add or subtract the like-terms : x values.
8x+12=8x+10
step 3.
substitute by bringing like terms together:
12-10=8x-8x
2=0
ans =2
Factor 9-4y^2
pls help... again
Answer:
9-16y
Step-by-step explanation:
Answer:
(3 + 2y)(3 - 2y)Step-by-step explanation:
Use formula:
a² - b² = (a + b)(a - b)Factor:
9 - 4y² = 3² - (2y)² = (3 + 2y)(3 - 2y)Is 30 a typical test score? If so, explain your reasoning. If not, what is a typical test score?
Answer:
NO
Step-by-step explanation:
Failing a test is atypical for most kids. You have the occasional, but generally failing is something people don't really do. A typical test score varies from 95-70. It really just depends on the person. I sure hope you don't usually score 30's on tests.
stay cold,
brook
Suppose the points shown on the coordinate plane are vertices of a rectangle. Which statements are correct? A) The perimeter of the rectangle is 14 units. B) The perimeter of the rectangle is 28 units. C) The coordinates for the fourth vertex of the square are (5, 5). D) The coordinates for the fourth vertex of the rectangle are (−5, −6). E) The coordinates for the fourth vertex of the rectangle are (−5, −3).
Answer:
A
Step-by-step explanation:
Answer:
I beleive it is A and C i just took the test!
Step-by-step explanation:
yourwelcome! :)
PLEASE HELP. I AM STUCK!!!
Answer:
Step-by-step explanation:
Midsegment means it's the middle, or half-way . It chops the sides into even parts. The line that's the midsegment is going to be parallel to the base and half the size of the base. In other words, double the midsegment and that's equal to the base. Then, just solve for x.
Which expression is a factor of x² − 5x − 6?
A. x − 1
B. x − 2
C. x − 6
D. x − 3
Answer:
C
Step-by-step explanation: