Answer:
24/5Step-by-step explanation:
Common ratio is:
-12/5 : 6/5 = -2The next term is:
-12/5*(-2) = 24/5plzz help guys I'm so confused!!
A city has a population of 400,000 people. Suppose that each year the population grows by 6%. What will the population be after 11 years? Use the calculator provided and round your answer to the nearest whole number.
Answer:
773,917
Step-by-step explanation:
I will assume it will be a compound interest:
To solve any compound interest problems, use the formula (P x e)^r x t
P = Principal amount
e is Euler's number can be found on your calculator
r = rate
t = time
so 400,000e^0.06 x 11 = 773,916.93 = 773,917 (round to the nearest whole number)
Answer:
pop after 11 years will be 772,000
Step-by-step explanation:
P = initial population · [tex]e^{(.06)(11)}[/tex] e = Eulers number which is approx 2.7
P = 400,000 · [tex]2.7^{0.66}[/tex]
P = 400,000 · 1.93
P = 772,000
When does the expression below equal
10?
n + 3
A when n=4
B when n = 10
C when n = 13
D when n = 7
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
When n = 7
[tex]n + 3[/tex][tex]7 + 3[/tex][tex]10[/tex]hence, the given expression is equal to 10, when n = 7
Sylvie needs $110 for a concert ticket. She already has $16 and she can earn the rest by working 10 hours at her job. If h represents her hourly earnings
Answer:
Step-by-step explanation:
110.75=10.5h-16
Jillian is making accessories for the soccer team. She uses 761.78 inches of fabric on headbands for 39 players and 2 coaches. She also uses 331.89 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
Answer:
Head bands: 18.58 inches of fabric
Wrist bands : 8.51 inches of fabric
Step-by-step explanation:
Jillian is making accessories for the soccer team.
For head bands
She uses 761.78 inches of fabric on headbands for 39 players and 2 coaches.
The total number of people = 39 player + 2 coaches = 41 people
Hence:
41 persons = 761.78 inches of fabric
1 person = x
Cross Multiply
41 × x = 761.78 × 1
x = 761.78/48
x = 18.58 inches
For wristbands
She also uses 331.89 inches of fabric on wristbands for just the players.
Number of players = 39 players
Hence:
39 players = 331.89 inches
1 players = x inches
Cross Multiply
39 × x = 1 × 331.89 inches
x = 331.89 inches/39
x = 8.51 inches
Therefore:
18.58 inches of fabric was used for head bands and 8.51 inches of fabrics was used for wristbands.
Peter runs laps on the school track every afternoon. He wants to run no more than 60 minutes a day. He can consistently run each lap in 1.5 minutes. Which inequality best represents the situation and represents x, the greatest number of laps Peter could run in a day?
Answer:
1.5x ≤ 60
Step-by-step explanation:
He wants to run no more than 60 minutes a day
No more than means Less than or equal to with the inequality sign of ≤
Each lap = 1.5 minutes.
The greatest number of laps Peter could run = x
Therefore, the inequality that best represents the situation and represents x, the greatest number of laps Peter could run in a day
1.5 × x ≤ 60 minutes
= 1.5x ≤ 60
Solving for x
1.5x ≤ 60
x ≤ 60/1.5
x ≤ 40 laps
Hence, the Greatest number of laps = x that he can run is 40 laps
Alan buys a basket of apples on sale for $7 before tax. The sales tax is 12.5%. What is the
total cost for the basket of apples?
Find the length of the missing side
Answer:
c = 17
Step-by-step explanation:
Since this is a right angle triangle we can use the Pythagoras theorem that states that [tex]c^{2} = a^{2} + b^{2}[/tex] (where c is the Solve for hypotenuse and "a" and "b" are the legs of the right angle triangle). From here we know that the answer to this question is....
[tex]c^{2} = a^{2} + b^{2}\\c^{2} = 15^{2} + 8^{2} \\c^{2} = 225 + 64\\c^{2} = 289\\c = \sqrt{289} \\c = 17[/tex]
Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.
Answer:
Equation of the line that passes through the given point and is (a) parallel is: [tex]\mathbf{y=-2x+11}[/tex]
Equation of the line that passes through the given point and is (b) perpendicular is: [tex]\mathbf{y=\frac{1}{2}x+1}[/tex]
Step-by-step explanation:
We need to Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.
First we will find slope of the line given in graph
The slope can be found using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have points (1,6) and (2,2)
Slope is:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2-6}{2-1}\\Slope=\frac{-4}{2}\\Slope=-2[/tex]
Part a)
Write an equation of the line that passes through the given point and is (a) parallel
When the lines are parallel, they have same slope. So, slope of required line: m = -2
Using slope m =-2 and point(4,3) we can find y-intercept b
[tex]y=mx+b\\3=-2(4)+b\\3=-8+b\\b=3+8\\b=11[/tex]
The equation of line will be:
[tex]y=mx+b\\y=-2x+11[/tex]
Equation of the line that passes through the given point and is (a) parallel is: [tex]\mathbf{y=-2x+11}[/tex]
Part b)
Write an equation of the line that passes through the given point and is (b) perpendicular
When the lines are perpendicular they have opposite slope. So, slope of required line: m = 1/2
Using slope m =1/2 and point(4,3) we can find y-intercept b
[tex]y=mx+b\\3=\frac{1}{2}(4)+b\\3=2+b\\b=3-2\\b=1[/tex]
The equation of line will be:
[tex]y=mx+b\\y=\frac{1}{2}x+1[/tex]
Equation of the line that passes through the given point and is (b) perpendicular is: [tex]\mathbf{y=\frac{1}{2}x+1}[/tex]
if the tire pressure gauge is showing the reading 8% higher, the what is the actual pressure if the reading is 39.42?
Answer:
The actual pressure is 36.50
Step-by-step explanation:
Given that:
Tire pressure reading = 8% higher
Reading = 39.42
As 100% will be the actual reading.
New reading = (100+8)% = 108%
Let,
x be the actual pressure of the tire
108% of x = 39.42
[tex]\frac{108}{100}x=39.42\\1.08x = 39.42[/tex]
Dividing both sides by 1.08
[tex]\frac{1.08x}{1.08}=\frac{39.42}{1.08}\\x=36.50[/tex]
Hence,
The actual pressure is 36.50
The shaded area of the shape below rounded to the nearest whole number is:
8 cm
8 cm
Answer:
64
Step-by-step explanation:
8x8=64
Write the correct answer. Euros are currency used in several European countries. On one day in October 2005, you could exchange $3 for about 2.5 euros. How many dollars would you have needed to get 6 Euros?
Answer: 7.2 $ will be needed to get 6 Euros.
Step-by-step explanation:
Given : 3$ could be exchanged for 2.5 euros
That means :
To get 2.5 euros , dollars needed are = 3$
By using Unitary method:
To get 1 euro , dollars needed are = [tex]\frac{3}{2.5}[/tex] $
To get 6 euros , dollars needed are = [tex]\frac{3}{2.5}\times 6=7.2[/tex] $
Thus 7.2 $ will be needed to get 6 Euros.
Question 6 of 10
sin(7pie/6)=
Answer:
-0.5
Step-by-step explanation:
I just added it into my calculator
Find the missing side length of the similar figures below:
Answer:
1) d 2) b
Step-by-step explanation:
1) 36÷24 = 1.5 15×1.5= answer
2) 4÷3.2= 1.25 7.5÷1.25= answer
On a number line suppose point E has a coordinate of -1 and EG=12 what are the possible coordinates of point G? The possible coordinates for G are__.
Step-by-step explanation:
We have |E - G| = 12.
=> E - G = 12 or E - G = -12
=> (-1) - G = 12 or (-1) - G = -12
=> G = -13 or G = 11.
Coordonates of G could be -13 or 11.
Answer:
7,1
Step-by-step explanation:
Find the surface area of the cylinder. (no units-round to nearest tenth)
10 m
5 m
Answer: 471.238898359 Or when rounded, 471.2
Step-by-step explanation:
The data set shows the numbers of pages in the books on a reading list
5 On the first day of school, you notice a few patches of fungus on the leaves of the pumpkin
vines in your garden. You estimate the area covered by the fungus and find that the patches
cover about 1 cm2 Suppose that the leaf area covered by this kind of fungus quadruples (4x)
every day.
Answer:
Step-by-step explanation:
it xhkr pls
i need help with this question
Answer:
x=-2/9
y=-46/9
Step-by-step explanation:
Which expression is equivalent to (0.5x+7)−(1.2x−3)?
(0.5x+1.2x)+(7+3)
(0.5x+(−1.2x))+(7+(−3))
(0.5x+(−1.2x))+(7+3)
(0.5x+1.2x)+(7+(−3))
An 6 inch tall can of soda can hold 150π cubic cm. What is the radius of the top?
9514 1404 393
Answer:
3.14 cm ≈ 1.235 in
Step-by-step explanation:
The formula for the volume of a cylinder is ...
V = πr²h
Solving for r, we find ...
r = √(V/(πh))
For the given values, the radius is ...
[tex]r=\sqrt{\dfrac{150\pi\text{ cm$^3$}}{\pi(6\text{ in})(2.54\text{ cm/in})}}=\sqrt{\dfrac{25}{2.54}}\text{ cm}\approx\boxed{3.14\text{ cm}}[/tex]
1) A tv has a sale price of $450 and has a sales tax of 6% Find the total price.
Sales tax:
Total price:
Answer:
Sales tax : $27
Total price : $477
Step-by-step explanation:
Given that:
Sale price of tv = $450
Sales tax = 6%
Amount of sales tax = [tex]\frac{6}{100}*450[/tex]
Amount of sales tax = 0.06 * 450
Amount of sales tax = $27
Total price = Sale price + Sales tax
Total price = 450 + 27 = $477
Hence,
Sales tax : $27
Total price : $477
There is a spinner with 15 equal areas, numbered 1 through 15. If the spinner is spun
one time, what is the probability that the result is a multiple of 3 and a multiple of 5
Answer:
7 / 15= 0.47
Step-by-step explanation:
PLEASE HELP
What is the solution
3/4x+2x-3=-1/4x+21
Answer:
x=1/27
Step-by-step explanation:
In attachment...
Is this right?? Y=3/5x or is the -6 wrong
Answer:
according to my calculations for the gradient 3/5 is correct and - 6 is the y intercept so I suppose it's correct
WILL MARK YOU BRAINLIEST
Answer: 4.8
Step-by-step explanation:
What is 34.208 in terms of pi.
INCORRECT/SILLY ANSWER = REPORT!
Answer:
10.8887π.
Step-by-step explanation:
34.208 / π
= 10.8887π.
Please help me on this.
Answer:My best guess is B or C
Step-by-step explanation:
im not the best at solving this but I feel certain it’s either of those
write the ratio
14:56
in it's simplest form
Some one please help me !!!
Answer:
= 1 : 4
Step-by-step explanation:
14 : 56 in it's simplest form
= 14 / 56
= 1/4
= 1 : 4
14 : 56 = 1 : 4
Therefore, 14 : 56 in it's simplest form is 1 : 4
HELP!!!!!ASAP!!!!!!!!!!!PLEASE!!!!!!!!!!NOW!!!!!
Answer:
c
Step-by-step explanation:
Answer:
x=30cm
Step-by-step explanation:
The sides are proportionate so you can solve this by using ratios 75/30=x/12
Cross Multiply
30x=900
x=30
Please help!!!!!!!!!!!!!!!
Answer:
The slope of line 1 is: 2
Does line one have a negative of positive slope: Positive
The slope of line 2 is: -1/2
Does line two have a negative of positive slope: Negative