she would have saved $650
SOS need help on this question
Answer:
x < 4
Step-by-step explanation:
3x - 3 < 9
3x - 3 + 3 < 9 + 3
3x < 12
[tex]\frac{3x}{3} <\frac{12}{3}[/tex]
x < 4
Answer:
the answer is x is less than 4
Step-by-step explanation:
3x-3<9
3x-3+3<9+3
-3deleted by +3
so we get 3x<12. over 3 over 3 and we got
x<4
This is a multi-part question you will refer back to this and other finished parts to help answer this and future questions
In 2005 a town with a population of 10,000 finds that its population is declining by a rate of 0.3% per year. Find the following Johnny was asked how long it will take the population to reach 1/2 of the original population. He answered that it would never reach half, what is the incorrect assumptions Johnny made? (answer with a
Johnny was asked how long it will take the population to reach
complete sentence) Please help.
The assumption Johnny made is that, none of the residents of the town will live up to 230.7 years.
The given parameters are:
[tex]\mathbf{a =10000}[/tex] --- the initial population
[tex]\mathbf{r =0.3\%}[/tex] -- the declining rate
Population are always modelled using exponential function.
This is represented as:
[tex]\mathbf{y = a(1 - r)^x}[/tex]
Where y represents the population in x years.
So, we have:
[tex]\mathbf{y = 10000(1 - 0.3\%)^x}[/tex]
[tex]\mathbf{y = 10000(1 - 0.003)^x}[/tex]
[tex]\mathbf{y = 10000(0.997)^x}[/tex]
When the population reaches half, then y = 5000.
So, we have:
[tex]\mathbf{5000 = 10000(0.997)^x}[/tex]
Divide both sides by 10000
[tex]\mathbf{0.5 = 0.997^x}[/tex]
Take logarithm of both sides
[tex]\mathbf{log(0.5) = log(0.997)^x}[/tex]
Apply law of logarithm
[tex]\mathbf{log(0.5) = xlog(0.997)}[/tex]
Make x the subject
[tex]\mathbf{x = log(0.5) \div log(0.997)}[/tex]
[tex]\mathbf{x = 230.7}[/tex]
This means that the population will become half the original population in 230.7 years.
The assumption Johnny made is that, none of the residents of the town will live up to 230.7 years.
Read more about exponential function at:
https://brainly.com/question/11487261
A person travels 7/9 of a mile in 1/4 of an hour, how far will he travel in 1 hour
Answer:
If you run 1mile in 7 minutes, you run 8.5miles in 1 hour, and run 1km in 4 minutes 20 seconds. This calculator convert pace and speed in the unit of mile, and km.
Step-by-step explanation:
To join the speech and debate club, there is a $28.90 initial fee and a $2.20 yearly fee. Write an equation in slope-intercept form where x represents the number of years enrolled in the club, and y represents the total amount of fees paid.
The equation that represents the total cost of the club will be y = 2.20x + 28.90.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
To join the discourse and discussion club, there is a $28.90 beginning charge and a $2.20 yearly expense.
Let 'x' be the number of years and 'y' be the total cost. Then the equation is given as,
y = 2.20x + 28.90
Where the number 2.20 represents the slope and the number 28.90 represents the y-intercept of the line.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
what is greater: 19/5, 27/5, 10/3, 14/5
Answer:
I think the greater fraction is 27/5
Answer:
27/5Step-by-step explanation:
what is greater: 19/5, 27/5, 10/3, 14/5
fractions are divisions, we divide to see the greater
19/5= 3.8
27/5= 5.4
10/3= 3.33
14/5= 2.8
Pls solve this I don't get it
What is 564.2+3.006-1.6?
Answer:
565.606, is shown step by step in the picture
pls help ill give brainliest lolz
Answer:
t =5
Step-by-step explanation:
-7(2-t)=21
-14+7t=21
7t=35
t=5
It takes 25 minutes to prepare the cake mixture and 70 minutes to bake in the
Kirsty is going to make a birthday cake for the party.
Kirsty then needs three quarters of an hour to decorate the cake.
The cake needs 1.5 hours to cool before decorating.
She wants to finish decorating the cake at least 2 hours before the
oven.
party starts.
The party starts at 2.30 pm.
What time should Kirsty start making the cake?
Show why you think this.
Answer:
she will start making it at 10 am
Helppppppppppppppp meee
Help me pleaseeeeeeeeereere
Answer:
£3.9
Step-by-step explanation:
Philip went to the shop with £9.60
spent £5.70
Money left = £9.60 -£ 5.70
=£3.9
Hence,
He came home with £3.9
Daniel spent 3 hours babysitting for his brother. He and the children played games for 1 3/4 hours and watched television for 1/2 hour. For the remainder of the time, Daniel read stories. How much time did Daniel spend reading stories?
Answer:
He spent 3/4 of an hour reading stories
Step-by-step explanation:
Sorry I dont have time :(
Which of the ratios below has a unit rate of 5? Select all that apply. A) 10:5 B) 4:16 C) 15:3 D) 25:5 E) 40:8
Answer:
C D E
Step-by-step explanation:
15:3=5
25:5=5
40:8=5
Help me solve this-> g(x) = 2x + 3
g(7) =
Answer:
17
Step-by-step explanation:
it's sufficient to set x=7
g(7)=2×7+3=14+3=17
Answer:
g(7)=2.7+3=17
help me plz math is hard
I NEED A ANSWER ASAP!!
A dog park is 100 yards long and the town wants to install water bowls for their beloved pups. If the town wants a water bowl at each end and every 20 yards i
between, how many water bowls need to be installed?
Answer:
5
Step-by-step explanation:
5*20=100
Katie has 4 1/2 ponds of flour. She uses 3/4 of it to bake brownies. How much flour does she need to make brownies? Basically I need to know if I divide or multiple?
Answer:
1/3 and you divide
Step-by-step explanation:
41/2 = 9/2
3/4 ÷ 9/2
3/4 ×2/9 = 6/18
6/18 = 1/3
Answer:
Step-by-step explanation:
Okay. 4 and 1/2 simplifies to the improper fraction, 9/2. And 3/4 of it would mean we MULTIPLY it by the total, 9/2 pounds. (Whenever we see OF, we know that the operation is multiplication.) I think that you can do the rest from here, but I'll include a solution at the bottom if you still need help.
...
(9/2)*(3/4)=(9*3)/(2*4)=27/8=3 and 3/8 pounds of flour used to make brownies.
Hope this helps! Good luck! :)
Solve for x.
0.6x = 4.8
Enter your answer in the box.
x =
Answer:
x= 8
What I Did:
First I turned them into whole number so I turned 0.6 into 6 and 4.8 into 48
Then I divided 48 by 6 which was 8
You can also add 0.6 as many times until you get to 4.8 but then you're just wasting time.
Answer: x = 8
Step-by-step explanation:
PLEASE HELP ME OUT! Thank you!
Complete the two-column proof using the answers in the bank.
Given: Point B is the midpoint of DC and EA Prove: ∆BDE ≅∆BCA
Answer Bank:
Definition of a midpoint
EB ≅ AB
Given
Point B is the midpoint of DC and EA
Side-Angle-Side (SAS)
Vertical Angle Theorem
FILL THE BLANKS
Statement Reason
1.__________ 1. Given
2. DB ≅ CB 2._________
3.________ 3. Definition of a midpoint
4. ∠EBD ≅ ∠ABC 4.__________
5. ∆BDE ≅∆BCA 5._________
Answer:
Step-by-step explanation:
1. B is midpoint of DC and EA 1. Given
2. DB ≅ CB 2. Definition of midpoint
3. EB ≅ BA 3. Definition of midpoint
4. ∠EBD ≅ ∠ABC 4. Vertically opposite angles
5. ΔBDE ≅ ΔBCA 5. S A S congruent
5x-4=9x+6 please put explanation
A line has a slope of -4. The line passes through the point (-2,1). What is the point- slope form of the line?
A. y - 1 = -4 (x + 2)
B. y - 4 = -2 (x - 1)
C. y - 1 = 4 (x - 2)
D. y - 2 = -4 (x - 1)
Answer:
A y - 1 = -4(x + 2)
Step-by-step explanation:
point-slope form: [tex]y - y_{1} = m(x -x_{1} )[/tex]
y - 1 = -4(x -(-2) )
y - 1 = -4(x + 2)
solve pls brainliest
Answer:2 3/4 for mixed 11/4 for improper
Step-by-step explanation:
Describe the location of the point having the following coordinates.
nonzero abscissa, negative ordinate
O Quadrant l or Quadrant IV
O Quadrant III or Quadrant IV
O Quadrant II or Quadrant IV
O Quadrant lor Quadrant II
Answer:
Quadrant III or Quadrant IVStep-by-step explanation:
i Hope it's helpful for you
PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS
Select the correct answer. You’re laying a new kitchen floor with square tiles that are one yard by one yard. Your rectangular kitchen is 24 feet by 33 feet, and each tile costs $54. You determine that the tiles will cost you $3,960. If you made a mistake in your pricing estimate, what most likely occurred?
A. You determined the number of tiles was 19 instead of 88.
B. You multiplied the number of tiles by $45 instead of $54.
C. You calculated the dimensions of your kitchen to be 3 yards by 4 yards instead of 8 yards by 11 yards.
D. No mistake was made.
Answer: Your estimate is wrong, and it should be $4,752
Step-by-step explanation:
We are given that:
Size of tile = 1yard by 1yard
Let convert yard to feet, so as to find the covered by the tile in feet.
Since 1yard = 3feet
Size of tile = 3feet by 3feet
Area cover by tile = 3x3 = 9ft²
Size of kitchen floor = 24ft by 33ft
Area covered by floor = 24 x 33 = 792ft²
Total number of tile needed for the kitchen floor = Area of kitchen/Area of tiles
= 792/9
= 88 tiles
Given that each tile cost $54
Total cost of 88 tiles = 54 x 88 = $4752
Therefore the answer is
B. Your estimate is wrong, and it should be $4,752
A building casts a shadow that is 420 meters long. At the same time, a person who is 2 meters tall casts a shadow that is 24 meters long. How tall is the building?
The building is meters tall.
Answer: The building is 35 meters tall.
Step-by-step explanation:
420 divided by 24 is 17.5
17.5 x 2 is 35
(im multiplying by two because it says that a person who is 2 meters tall casts a shadow that is 24 meters long. ***)
Translate the sentence into an equation.
Nine more than the quotient of a number and 8 is equal to 5.
Answer:
x/8 + 9 =5
Step-by-step explanation:
Quotient is division and I decided to use x as my number so the first part is x/8. Then you do the nine more because more is addition to whatever is after it in our case it is x/8 so now you have x/8 + 9. Then it says equals 5 so the equation is x/8 + 9 = 5
I hope this helps!
help with my math plz
Answer:
Step-by-step explanation:
The side is S= 5 cm , and the area is A= S² = 5²= 25
If the side would be doubled will be S= 5*2 = 10 cm, and the area A= 10²=100
Compare the area of S=5 to area of S=10 , 100 = 4*25
Conclusion:
If we double the side the area is 4 times greater.
what is the value x in following sequences 3,12,x,48,75,...
Answer:
30
Step-by-step explanation:
12-3= 9
75-48= 27
This is quadratic because it is like saying what is in between 9 and 27.
So the pattern is 9, 18, 27
so 12-3= 9
30-12= 18
48-30= Also 18
75-48= 27
Hope this helped :)
what are the coordinates of the point 2/3 of the way from A to B? A (-5,-5). B(7,8)