Answer:
In about 9 months the population of the towns will be equal.
Step-by-step explanation:
The population of both cities, after t months, can be modeled by linear functions.
Town A:
Population of 53330.
About 75 people move out of the town each month. Each month, 175 people on average move into town.
So, after t months, the population will be:
[tex]A(t) = 53300 + (175 - 75)t[/tex]
[tex]A(t) = 53300 + 100t[/tex]
Town B:
Population of 55,825.
An average of 175 people moving away every month.
So, after t months, the population will be:
[tex]B(t) = 55825 - 175t[/tex]
In about how many months will the populations of the towns be equal?
This is t for which:
[tex]A(t) = B(t)[/tex]
[tex]53300 + 100t = 55825 - 175t[/tex]
[tex]275t = 2525[/tex]
[tex]t = \frac{2525}{275}[/tex]
[tex]t = 9.18[/tex]
Rounding to the nearest number
In about 9 months the population of the towns will be equal.
What is the mean of the data set below? Round to the nearest tenth when necessary. 10, 30, 53 *
The radius of a circle is 6mm. What is the area of the shaded portion of the circle.
The area of the shaded portion of the circle is [tex]\frac{29\pi}{3} \ mm^{2}[/tex]. The correct option is b) 29 π mm² got to station 3
Area of a sectorFrom the question, we are to determine the area of the shaded portion.
The shaded portion in the circle is the major sector.
The area of a sector is given by the formula,
[tex]A = \frac{\theta}{360 ^\circ} \times 2\pi r[/tex]
Where [tex]\theta[/tex] is the angle subtended by the sector
and r is the radius of the circle.
From the given information,
r = 6 mm
and [tex]\theta[/tex] is the angle subtended by the major sector
Therefore
[tex]\theta = 360^\circ - 70^\circ[/tex]
[tex]\theta = 290^\circ[/tex]
Putting the parameters into the formula, we get
[tex]A = \frac{290^\circ}{360 ^\circ} \times 2\pi \times 6[/tex]
Simplifying
[tex]A = \frac{29}{3} \tim\pi \ mm^{2}[/tex]
Hence, the area of the shaded portion of the circle is [tex]\frac{29\pi}{3} \ mm^{2}[/tex]. The correct option is b) 29 π mm² got to station 3
Lear more on area of a sector here: https://brainly.com/question/10090807
What is the Surface Area of the prism, in square centimeters?
Answer:
[tex]2( \frac{1}{2} \times 4 \times 6 ) + 2( 5 \times 10 ) + ( 6 \times 10 )[/tex]
[tex]= {184cm}^{2}[/tex]
12-3 ( x-8 ) simplify
Answer:
-3x + 36
Step-by-step explanation:
The first step is to distribute the -3 to (x - 8), like so:
12 - 3(x - 8)
12 - 3x + 24
Add like terms (12 and 24):
12 + 24 = 36
-3x + 36
Thanks for all the help
Answer:
<FBE
Step-by-step explanation:
supplementary just mean 180
Answer:
∠CBG or ∠FBG
Step-by-step explanation:
Supplementary angles add up to 180°.
what is 2/3 ÷ 4/5 = ?
Answer:
this is the answer:5/6.
Answer:
= 5/6
Step-by-step explanation:
2/6 ÷ 4/5
= 2/6 × 5/4
= 10/24
= 5/6
HHELP HELP PLZZ PLZ SHOW WORK PLZZZZZ
Answer:
B. 43.3
Step-by-step explanation:
Find the area of one of the triangles:
[tex]\frac{1}{2} *b*h[/tex]
[tex]\frac{1}{2} *5*4.33=10.825[/tex]
10.825*4=43.3
Answer:
B.) 43.3 square centimetres
Step-by-step explanation:
The height is 4.33 cm and the side length is 5 cm. The surface area of the net would be the sum of the areas of all the triangles, which is 4 triangles. Since they are equilateral triangles, you can multiply. Use the formula for the area of a triangle:
[tex]A=\frac{1}{2} bh[/tex]
Insert the values:
[tex]A=\frac{1}{2} *4.33*5[/tex]
Simplify:
[tex]A=\frac{1*4.33*5}{2} \\\\A=10.825[/tex]
Multiply the area of one triangle by 4:
[tex]10.825*4=43.3[/tex]
The surface area of the pyramid is [tex]43.3[/tex] [tex]cm^2[/tex]
:Done
Find the slope: (-1,5) and (2,-3)
Answer:
-2/3
Step-by-step explanation:
Answer:
(-3-5)/(2-(-1))=-8/3
Step-by-step explanation:
A survey of 539 adults aged 18-24 year olds was conducted in which they were asked what they did last Friday night. It found:
189 watched TV
163 hung out with friends
29 watched TV and ate pizza, but did not hang out with friends
49 watched TV and hung out with friends, but did not eat pizza
36 hung out with friends and ate pizza, but did not watch TV
30 watched TV, hung out with friends, and ate pizza
60 did not do any of these three activities
How may 18-24 year olds (of these three activities) only ate pizza last Friday night?
Your Answer:
Answer:
95 people ate pizza
Step-by-step explanation:
Add the ones highlighted
Which expression represents finding the volume of the entire solid? Be careful
Answer:
Option 6
Step-by-step explanation:
To find the volume of a cone you use the formula 1/3*pi*r^2*h which would be pi*9^2*7. Then the volume of a cylinder is pi*9^2*50, so option 6 is right I believe.
Find the volume of a pyramid with a square base, where the area of the base is
8.7 m and the height of the pyramid is 10 m. Round your answer to the nearest
tenth of a cubic meter.
Answer: 29.0
Step-by-step explanation:
The volume of a pyramid is equal to l*w*h/ 3 and we know that the length times the width is the same as the base.
so we will multiply 8.7 * 10= 87 /3= 29
Volume = 87 m³
You need to multiply the area and the height to find the volume. If you have the length, width, and height, then you need to multiply and 3 and divide it by 3. Hope I helped :)
What is 2x+3=x+15 pls help
Answer:
x = 12
Step-by-step explanation:
2x+3=x+15 (subtract x from both sides)
2x + 3 - x = x + 15 - x
x + 3 = 15 (subtract 3 from both sides)
x + 3 - 3 = 15 - 3
x = 15-3
x = 12
Analyze the diagram below and complete the instructions that follow.Find cos 45°
Answer: [tex]\frac{\sqrt{2} }{2}[/tex]
Step-by-step explanation: On the unit circle
Answer:
b
Step-by-step explanation:
Raheem found a worm that was 6 centimeters long what is the length of the worm in in millimeters
Answer:
60 millimeters
Step-by-step explanation:
1 centimeter is 10 milimeters. So, 6 centimeters is 60 millimeters.
*please mark brainliest*
On Bianca's 5th birthday gift of $100 cash from her dad. Bianca's dad promises to double her money
yearly if Bianca plans to not spend money but instead deposit into "daddy's - super-saving - account".
Will Bianca be able to afford her dream car, a Mini Cooper worth $30,000 when she turns 16? Use words,
numbers, and tables to explain your answer.
Answer:
Bianca would be able to afford her dream car conveniently when she turns 16.
Step-by-step explanation:
Bianca was 5 years and wish to project her savings for the next 11 years.
On her 5th birthday, she saves $100
Her dad promises to double her money yearly with respect to a condition. So that;
On her 6th birthday, she would save $ 200
On her 7th birthday, she would save $400
On her 8th birthday, she would save $800
On her 9th birthday, she would save $1600
On her 10th birthday, she would save $ 3200
On her 11th birthday, she would save $ 6400
On her 12th birthday, she would save $12800
On her 13th birthday, she would save $25600
On her 14th birthday, she would save $51200
On her 15th birthday, she would save $102400
On her 16th birthday, she would save $204800
When she turns 16, she would have a total sum of $409500.
Therefore, Bianca would be able to afford her dream car conveniently when she turns 16.
you want to start a necklace making business. You spend $0.68 on string for each necklace and $0.25 on beads for each necklace. You sell your necklaces
for $2.00 each. If you sell 30 necklaces, how much profit will you make?
Answer:
Your profit would be 32.10$
Step-by-step explanation:
You spent 20.40$ on string, then you spent 7.50$ on beads too. That adds up to 27.90$ in total, so once you make your 30 necklaces you sell them for 2.00$ let's say you sell them all in one day your coming come with 32.10$ profit. Because you put 27.90$ into making the necklaces.
concrete is poured to create a slab in the shape of a rectangular prisim the slab is 50 yards long 1.5 yards wide and 0.25 yard stick how many cubic squares of concrete are needed to create slab
Answer:
18.75 cubic yards
Step-by-step explanation:
Multiply the length width and height by each other.
50 x 1.5 x 0.25 = 18.75
Answer:
18.75 yards³
Step-by-step explanation:
To solve this, we can solve for the volume of the rectangular prism by using the formula: [tex]V= l*w*h[/tex]
We can plug in the values, giving us:
V= 50×1.5×0.25= 18.75 yards³
Order each set of numbers from LEAST to GREATEST.
-4 , -5/4 , 0 , -5, -1.5
Answer:
-5, -4, -1.5, (-5/4) -1.25, 0
Step-by-step explanation:
The higher the negative the lower the number (least).
~Anna
Need help? Contact me for tutoring!
Keith makes 8 dollars for each hour of work. Write an equation to represent his total pay p after working h hours.
Answer:
P=8h
Step-by-step explanation:
P is the total amount of dollars that Keith will make, while h is the number of hours he will work for. If you multiply the number of hours he works for and how much he makes in an hour which is 8. You will get the total amount.
what is the slope of the line passing through (2,9) and (2,-14)
Answer:
The slope is undefined
Step-by-step explanation:
When graphed, the two points form a vertical line, since we can't divide the slope by zero thw slope is considered as undefined
Please help with this
Answer:
C
Step-by-step explanation:
A quadratic function can be defined as a function where the highest degree or exponent is 2. Since option B has a zero in front of the x squared, it is not a quadratic function because 0 times anything is zero. Therefore, the only other option with an exponent of 2 is C.
Hope this helped! :D
How can you determine if a point is a solution to a system of linear equations?
Please Help!
Answer:
You can substitute the x value of coordinate (x,y) in the equation. If the outcome = the y value in the coordinate (x,y), then you have determined it to be on the system of linear equations.
Step-by-step explanation:
Point P has a coordinates: ( Px , Py ).
You can choose which value is easy to substitute. Eighter start with the Py or you could start with the Px. It could save you time if you pick the right one for the job.
If you want to verify if any point is valid in any (linear) equation(s), you can:
a) substitute the x value of coordinate (x,y) in the equation, and if the outcome has the same value as y in the coordinate (x,y), then that point is a valid solution of the (linear) equation.
b) substitute the y value of coordinate (x,y) in the equation, and if the outcome has the same value as x in the coordinate (x,y), then that point is a valid solution of the (linear) equation.
Answer:
You can substitute the x value into the equation if the answer for y is the same for the y coordinate you will have your answer.
Step-by-step explanation:
I NEED HELP WITH THIS
Answer:
(i think it is for q6 so) $6
Step-by-step explanation:
4.50÷3=1.50 (that's for 1 pound of fudge)
1.50×4=6
What is the perimiter of the rectangle? Write your answer in scientific notation.
6.2 x 10^6cm (perimiter)
Answer:
68cm
Step-by-step explanation: this is the right answer :)
what is 4x^2 + 12x - 6 = 0 rewritten in x^2 + b/a = -c/a format?
Answer:
Step-by-step explanation:
devide both sides by 4 it will be:
x^2 +3x -3/2 = 0
Write an equation for the line in slope-intercept form.
y = 1/2 x -3
Explanation: the y-intercept is where it crosses the y axis so the y-intercept is -3
HELP I NEED THIS ASAP! IF ANYONE CAN HELP ME SOLVE THIS I WOULD BE REALLY GRATEFUL!
Answer:
First, you work out the 3 and Tail from the table: T3: 62
Then you add up all values from the table:
S = 43 + 49 + 54 + 65 + 71 +62 = 344
Then the probability of next toss and spin is 3 and Tail is:
P = T3/S = 62/344 = 0.18
You revived 1/4 pound of candy from your grandmother, 1/2 pound of candy from your sister, and 1/8 pound of candy from your best friend. How many pounds of candy did you receive?
Answer:
⅞ pound
Step-by-step explanation:
You received 1/4 pound of candy from your grandmother.
You received 1/2 pound of candy from your sister.
You received 1/8 pound of candy from your best friend.
The total amount of candy you received is given as the sum of all the candy that he received from your grandmother sister and best friend.
The total amount of candy is therefore:
¼ + ½ + ⅛ = ⅞ pound
You received ⅞ pound of candy in total.
The perimeter of a standard-sized rectangular rug is 36 ft. The length is 2 ft longer than the width. Find the dimensions.
Answer and Step-by-step explanation:
The length is 10 and the width is 8
is the square root of .036 a rational number?
The square root of 0.36
= [tex]\sqrt{0.36}[/tex] = 0.6
ans: 0.36
Happy to help!
