Answer:
Perimeter of the sheet of paper = 814 mm²
Step-by-step explanation:
Given:
Length of side = 197 mm
Width of side = 210 mm
Find:
Perimeter of the sheet of paper
Computation:
Perimeter of the sheet of paper = 2[l+b]
Perimeter of the sheet of paper = 2[197+210]
Perimeter of the sheet of paper = 814 mm²
Bella wants to save for a vacation in three years and this vacation costs $2300 . She deposits $2000 into a bank earning 5% interest compounded monthly. Will Bella have the amount she wants after three years?
Answer:
yea Bella would have the amount she wants
A pair of hikers, 18 miles apart, begin at the same time to hike toward each other. If one walks at a rate that is 1 mph faster than the other , and if they meet 2 hours later , how fast is each one walking?
The speed of first hiker is 4 mph and speed of second hiker is 5 mph.
Speed of hiker:Let the speed of first hiker is x mph.
Since If one walks at a rate that is 1 mph faster than the other .
so taht speed of second hiker = (x + 1) mph
It is given that, pair of hikers are 18 miles apart and they meet 2 hours later .So that,
2x + 2(x + 1) = 18
2x + 1 = 9
2x = 9 - 1 = 8
x = 8/2 = 4
Hence, the speed of first hiker is 4 mph and speed of second hiker is 5 mph.
Learn more about the speed and distance here:
https://brainly.com/question/24295081
Give the slope of a line perpendicular to y = -5
PLEASE I NEED HELP
Answer:
its undefined. sorry but i dont know how to explain this
calculate angle ACD
please help
Answer:
∠ ACD = 70°
Step-by-step explanation:
The angle on the circle subtended by arc AB is half the angle at the centre subtended on the same arc, that is
∠ ACD = [tex]\frac{1}{2}[/tex] ∠ AOB = [tex]\frac{1}{2}[/tex] × 140° = 70°
A NASA spacecraft once landed on the surface of the asteroid named 433 Eros.This asteroid is near Earth and has an average orbital speed of 24.36 kilometers per second. What is its speed in meters per second? 0.02436 meters per second 0.2436 meters per hour 2,460 meters per hour 24,360 meters per second
Answer:
24,360 meters per second
Step-by-step explanation:
The average speed = 24.36 kilometer per second
We were asked to convert this to meters per second
1 kilometre = 1000 metres
Hence
24.36km/s = 24.36 × 1000 meters/seconds
= 24,360 meters/seconds.
The average speed of the asteroid is 24,360 meters/seconds.
Answer:
24,360 meters per second
Step-by-step explanation:
What does x equal in 2x-5
Answer:[tex]2^{x}[/tex] = 16
Step-by-step explanation:
Tom is trying to save $450.80 to buys a new tablet. right now he only has $54 and can save $64 every week from his allowance. Write an inequality to represent the total needed where the w is the number of weeks needed.
Inequlity:450
How many weeks will tom have to save in order to buy the tablet?
Graphs tom weeks needed to see up the money to buy the tablet. And lastly, see if the circle is open or close
Please help me with this question
Answer:
Inequality: 54+ 64x ≥ $450.80
x= number of weeks
7 weeks
The circle is closed
What is 84.8 divided by that =10.6
Answer:
8
Step-by-step explanation:
divide 84.8 by 10.6 to get the other term needed
84.8/10.6
A man receives Rs. 60 for the first week and Rs. 3 more each week than the preceeding week. How much does he earns by the 20th week
Answer:
The man's income by the 20th week will be Rs. 1770
Step-by-step explanation:
Given that the income of man in first week is Rs. 60
It is also mentioned that the income increases every week then the previous one.
which means the weekly incomes will be like:
60,63,66,69.....
As the common difference of terms is same i.e. 3, it forms an arithmetic sequence.
Where
[tex]a_1 = 60\\d = 3[/tex]
The general formula for arithmetic sequence is:
[tex]a_n = a_1+(n-1)d[/tex]
Putting the values of d and a_1 we get
[tex]a_n = 60+(n-1)(3)\\a_n = 60+3n-3\\a_n = 57+3n[/tex]
This is the general formula to find the income of any week. Now for 20th week,
n = 20
[tex]a_{20} = 57+(20)(3)\\a_{20} = 57+60\\a_{20} = 117[/tex]
The income for 20th week is 117.
As we have to find the total income for 20 weeks
We will use the summation formula for arithmetic sequence.
[tex]S_n = \frac{n}{2}(a_1+a_{20}})[/tex]
Putting the values
[tex]S_n = \frac{20}{2}(60+117}\\S_n = 10(177}\\S_n = 1770\ Rs.[/tex]
Hence,
The man's income by the 20th week will be Rs. 1770
what is..
y=-1/2x+5 and y=3/2x-3?
Answer: (4, 3)
Step-by-step explanation:
Answer:
fhhhh
Step-by-step explanation:
Select all of the points that are solutions to the linear equation 2x + 9y = 54
good luck
Step-by-step explanation:
0.0002077 scientific notation
Answer:
[tex]2.077[/tex] × [tex]10^{-4}[/tex]
Step-by-step explanation:
To convert to scientific notation, you need the number to be less than 10, but greater than 1 and is multiplied by a base of 10 to the power of the number of times you moved the decimal. So you need to shift the decimal place 4 times to the right to get to 2.077 (which is less than 10, but greater than 1). The next part is that you’ll need a base number, which is 10 because your moving the decimal by 10s. Since the decimal is being moved to the right, the exponent will be negative. You moved it 4 times so it’s [tex]10^{-4}[/tex]. The finished answer is:
[tex]2.077[/tex] × [tex]10^{-4}[/tex]
Hope this helps and answers your question! :)
16 factory workers made 49 pieces in a certain amount of time. Do these quantities(number of workers and number of pieces produced) vary directly or inversely?
Please explain how you got it!!
Answer:
They would vary directly because more number of workers means more pieces in given time and vice versa.
Step-by-step explanation:
(ó﹏ò。) hey uh- a lil' help here pls
As a young girl, Carmen enjoyed watching her father make things in his woodworking shop. Now that she's grown up, Carmen builds wooden furniture for a living. Her most popular product is a cedar porch swing.
There is a proportional relationship between the time (in days) Carmen spends making porch swings, x, and the number of swings she builds, y.
x (days) y (swings)
12 6
16 8
18 9
20 10
What is the constant of proportionality? Write your answer as a whole number or decimal.
swings per day
Answer:
Try using slope formula
Step-by-step explanation:
You can use the formula of m= ((y2)-(y1)/((x2)-(x1))
I hope this helps
Well, it's really simple actually. You don't need to focus on all those extra words on the top, focus on days and swings
In 20 days, Carmen swings 10 times.
In 10 days, Carmen swings 5 times.
If you notice, Y is multipled 0.5 of the original, so half
This means, 1 day (X) is swung 0.5 (Y)
I think Carmen is a possesed little girl for pulling that off
If you have any questions, feedback, or problems, let me know
I need help on this. Can someone please help me??
Answer: A
Step-by-step explanation: if you want me to explain just comment
Which of the following functions is graphed below?
O A. y - x - 344
O B. y - 1+31+1
O C. y - 1+ 3-4
D. y - x - 3-4
Pls give me the answer! Thanks!
Answer:
6
Step-by-step explanation:
7 x 6 = 42 + 9 = 51 + 54 = 105 + 75= 180
Answer:
6
Step-by-step explanation:
Tge sum of interior angles in a triangle is equal to 180°
7x + 9 + 54° + 75° = 180° add like terms
7x + 138° = 180° subtract 138 from both sides
7x = 42 divide by 7
x = 6
6th time i posted this, could someone help me?
Answer:
it's blurry
Step-by-step explanation:
Some people advise that in very cold weather, you should keep the gas tank in your car more than half full.
Irene's car had
6.1 gallons in the
14-gallon tank on the coldest day of the year.
Irene filled the tank with gas that cost $
3.80 per gallon. How much did
Irene spend on gas?
Answer:
Well, she spent $1.66 to add enough fuel to her tank to be half full.
Step-by-step explanation:
[tex]\frac{6.1 gallons 3.80}{14 gallon tank}[/tex]= 1.66
Recall the scenario about Eric’s weekly wages in the lesson practice section. Eric's boss has been very impressed with his work. He has given him a $2 raise and now Eric earns $12 an hour. His boss also has increased Eric’s work hours to 10 to 25 hours per week. The restrictions remain the same; he needs to work a full-hour in order to get the hourly wage (i.e. working 1.5 hour does not pay him for 1.5 hours but for one hour).
1.) function equation
2.) domain of the function in the set notation
3.) range of the function in the et notation
Answer:
f(x)= 12x where x is the number of hours worked (only whole numbers)
Domain= {10,11,12,13,.............., 25}
Range = { $ 120, $ 132, $ 144,$ 156 ,$ 168, $ 180, $ 192, $ 204, $ 216, $ 228, $ 240, $ 252, $ 264, $ 276, $ 288, $ 300}
Step-by-step explanation:
Let x be the number of hours worked then the function will be
f(x)= 12 (x) for {x=10,11,12,13,.............., 25}
x cannot taken any fractional value or decimal value.
The domain of the function is the input values
Domain= {10,11,12,13,.............., 25}
Now range of the function is the set of all possible output values
f(10)= 12 *10= $ 120
f(11)= 12 *11= $ 132
f(12)= 12 *12= $ 144
f(13)= 12 *13= $ 156
f(14)= 12 *14= $ 168
f(15)= 12 *15= $ 180
f(16)= 12 *16= $ 192
f(17)= 12 *17= $ 204
f(18)= 12 *18= $ 216
f(19)= 12 *19= $ 228
f(20)= 12 *20= $ 240
f(21)= 12 *21= $ 252
f(22)= 12 *22= $ 264
f(23)= 12 *23= $ 276
f(24)= 12 *24= $ 288
f( 25) = 12*25= $ 300
Range = { $ 120, $ 132, $ 144,$ 156 ,$ 168, $ 180, $ 192, $ 204, $ 216, $ 228, $ 240, $ 252, $ 264, $ 276, $ 288, $ 300}
Please I need help, JUST one problem.
I need to show my work please!!
Answer:
proved that x=9
Step-by-step explanation:
A line that splits an angle into two equal angles. ("Bisect" means to divide into two equal parts)
so <CAB=<DAB
7x+2=5(x+4)
7x+2=5x+20
7x-5x=20-2
2x=18
x=9
Carla has $300 in her bank account. Each time she goes to the ATM,she withdraws $20. The amount of money left in her bank account after x ATM withdrawal is represented by the function y=300-20x. What does the x-intercept represent?
Answer:
The amount of withdrawals she made.
Step-by-step explanation:
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Simplify the expression. − 5 + i/ 2 i
Answer:
-4.5
Step-by-step explanation:
p(x)= 2x + 3. Find P(O).
P(0) =
Answer:
3
Step-by-step explanation:
p(x)= 2x+3
p(0)=p(x=0)= 2*0 +3 =3
Mark all the solutions that apply: A number minus 12 times its reciprocal is 1.
-3
4
1
3
-1
-4
PLEASE HELP PLEASE I WILL THANK YOU!!
If you want to purchase a 5-inch fish, two 2-inch fish, and
three 3-inch fish, how many gallons of water should the
aquarium hold?
Answer:
18 gallons of water in the aquarium
What is the common ratio of the sequence? I will make whoever answers brainliest!!
Answer:
-5/2
Step-by-step explanation:
Help please?????????
3b=2p-7 make p the subject
Answer:
p = (3b + 7)/2
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesStep-by-step explanation:
Step 1: Define equation
3b = 2p - 7
Step 2: Solve for p
Add 7 to both sides: 3b + 7 = 2pDivide 2 on both sides: (3b + 7)/2 = pRewrite: p = (3b + 7)/2And we have our final answer!
Step-by-step explanation:
3b = 2p - 7
make p stand alone
3b + 7 = 2p
dividing both sides by 2
p = (3b + 7)/2
solve the function h(x)= 1/2-3 and j(x)= 2x+6, for x.
Answer:
x= -6
Step-by-step explanation: