Answer:
After the 8th city is built there will be 28 roads between the cities
Step-by-step explanation:
The given parameters are;
The number of cities initially on the island = 7 cities
The number of roads between each 2 cities = 1 road
Therefore, we have the number of roads between the 7 cities are;
7 cities taking 2 at a time = ₇C₂
[tex]_7C_2 = \dfrac{7!}{(7 - 2)!\cdot 2!} = 21[/tex]
The initial number of roads between the 7 cities = 21 roads
The number of roads, 'n' there will be after the 8th city is built is therefore;
[tex]n = _8C_2 = \dfrac{8!}{(8 - 2)!\cdot 2!} = 28[/tex]
The number of roads there will be after the 8th city is built, n = 28 roads.
You leave home and walk 3 blocks east, then 4 blocks north. How far are you from
home?
Jacub is trying to find the volume of a traffic cone that has the height of 2.4 ft and a diameter of 1.25 ft. He calculated that the
volume is 11.8 ft. What did he do wrong?
CAN SOMEONE HELP ME PLEASE!❤️ i would really appreciate it it’s due today and I’m having trouble understanding this question. 4/15/21
Answer:
he did half the diameter
Step-by-step explanation:
What should be done to x^2-10x in order to create a perfect square?
A)subtract 25
B)subtract 5
C)add 5
D)add 25
Answer: B)subtract 5
(x-5)^2-25
Step-by-step explanation:
2a=-10
Divide both sides by 2
2a/2=-10/2
Simplify
a=-5
Add and subtract
x^2-10x+(-5)^2-(-5)^2
Complete the square
(x-5)^2-(-5)^2
Simplify;
(x-5)^2-25
Answered by one other than the ONE & Only #QUEEN herself aka #DRIPPQUEENMO!!
HOPE THIS HELPED!!
How much larger is 6 x 10^5 compared to
2 x 10^3?Explain how you know.
Answer:
6 x 10^5 is 300 times greater than 2 x 10^3.
Step-by-step explanation:
Use division to compare.
(6 × 10^5)/(2 × 10^3) = 6/2 × 10^5/10^3 = 3 × 10^2 = 3 × 100 = 300
6 x 10^5 is 300 times greater than 2 x 10^3.
There is 6 × 10⁵ is 300 times greater than 2 × 10³.
What is the Scientific Notation?Scientific Notation is a way of writing down in the easy form of very large or very small numbers.
The exponents are given in the question, as follows:
6 × 10⁵ and 2 × 10³
The exponents in scientific notation as a shorthand for the number of zeroes in the number.
We use division to compare.
( 6 × 10⁵)/(2 × 10³)
= 6/2 × 10⁵/10³
= 3 × 10²
= 3 × 100
= 300
This means 6 × 10⁵ is 300 times greater than 2 × 10³
Learn more about the Scientific Notation here :
https://brainly.com/question/20533245
#SPJ2
Vicky cut a string into 4 equal pieces. She started with a string that was 5.4 inches long. How many inches long was each piece that Vicky cut?
Answer: 1.35 inches
hope this helps
a regular window is 48in long and 24 in wide mary would like to buy a screen for the window the screen is based on the number of square feet the screen is use the facts to find the area of the window in square feet
Answer:
8 square feet
Step-by-step explanation:
48/12=4
24/12=2
2x4=8
A rectangular prism has a volume of 97.5 cubic inches. The length is 5 inches and the height is 3 inches. What is the width of the rectangular prism?
Answer:
6.5
Step-by-step explanation:
3X5=15
97.5/ 15 = 6.5
10. You currently have $40 dollars. You make $7.50 per hour at your part-
time job. If you worked 5 hours on Friday, 6 hours on Saturday, and 4 hours
on Sunday, how much money do you have in total?
Answer:
(B) $152.50
Step-by-step explanation:
Friday: 5 hours x $7.50 per hour = $37.50
Saturday: 6 hours x $7.50 per hour = $45
Sunday: 4 hours x $7.50 per hour = $30
$40 + $37.50 + $45 + $30 = $152.50
I would have (B) $152.50 in total.
Hopefully this helps :3 sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
Look at the question below!
Answer:
the answer is 5 miles per hour
Step-by-step explanation:
because the difference between 125 and 250 is 125 and you know that's you rate of change. so we know 0 in time would also be 0 in distance. but since it's one you divide 125 by 5 = 25
Find the volume of a pyramid with a square base, where the area of the base is
13.2 cm² and the height of the pyramid is 13.7 cm. Round your answer to the
nearest tenth of a cubic centimeter.
Answer:60.3cm^3
Step-by-step explanation:
i got it wrong and that was the answer lol
If 1 cm represents 5m, what is the scale drawing length of 18m?
Answer:
3.6 cm
Step-by-step explanation:
5 divided by 18 is 3.6. so its 3.6
PLEASE HELP ME ANSWER BESTIES !!!
I would say 12 and 14 because if you were to evaluate that square root, you would get −13.0384048104 and that would lie between 12 and 14.
If I'm wrong, sorry.
The Student Athletes Club has a
monthly budget of x dollars. Every
month $500 is spent on transportation
One-third of the remaining budget is
spent on monthly activities. Which
function can be used to find the
amount in dollars spent on monthly
activities?
A f(x)= *
1-500
4
*+500
B f(x) =
C f(x) = 500 -
D f(x) = 500 +
A.2(C)
Answer:
Step-by-step explanation:
A rectangle has a length of 2x+3 and a width of 10x-4. Find the perimeter and area of the figure
Step-by-step explanation:
perimeter is 4x+6 +20x-8=20x-2
area is 20x^2+22x-12
which of the expressions have a value of 2?
Answer:
The answers are B and E
Step-by-step explanation:
The square root of 4 is 2.
The cube root of 8 is 2.
A is wrong because its value is 4.
C is wrong because its value is 4.
D is wrong because the square root of 8 isn't whole.
Answer:
E. √4
B. ³√8
Step-by-step explanation:
You can find this simply by putting it into a calculator if you have access to one. Just type √ and 4. If you don't have a calculator, you can just use the knowledge that 2 × 2 = 4, hence why it's the square root of 4 :)
You can also determine that B is correct by doing 2 to the power of 3.
2³ = 8, so you know that B is correct too.
Which expression is equivalent to 5+n?
n - 5. n/5. 5n. n + 5
Answer:
n+5
Step-by-step explanation:
This is according to the commutative property of addition. 5+n is n+5 written backwards.
PLSS HELP ME ASAP!!!
What is the area of the triangle?
Answer:
45cm^2 is your answer :)
Step-by-step explanation:
find the area of the shaded region. round your answer to the nearest hundredth
Answer:
16 meters
Step-by-step explanation:
sana makatulong
Can someone help me find what x equals , step by step ASAP!!
Answer:
x=8
Step-by-step explanation:
6x+42=90
6x=48
x=8
Help!!!!! Please
!!!!;!;!!;!!;
Answer:
Step-by-step explanation:
(b)
Each week, Cody earns $15 and spends $12. Which table can you use to determine how much money Cody will save in 6 weeks?
a
b
c
d
Listen NEXT
Answer:
$18
Step-by-step explanation:
15 x 6 = 90
12 x 6 = 72
90 - 72 = 18
He saves 18 dollars
There are no pictures with the multiple choice answers.
My guess would be a line graph
Which points are on the graph of the line 32 +6y=18? Check all that apply.
(-2,4)
(0,3)
0 (0,6)
(3,0)
0 (4, -2)
(6,0)
Activate
A hot liquid is placed in a refrigerator to quickly cool down. The temperature of the liquid can be modeled with the exponential function T=a(b)^m where m is the number of minutes it has been cooling. Based on the graph below, which of the following is closest to the value b for this model?
1) b=0.65
2)b=0.84
3)b=1.28
4)b=2.17
Answer:
This is 3
Step-by-step explanation:
please help me with this
Answer:5,2,4,8
Step-by-step explanation:hope it helped
Which of the following are equivalent to the expression 9/4(1.75−2 1/4)?
Answer: -1 1/8 (Decimal: -1.125)
78^(4/9) in radical form
Answer:
\sqrt[9]{(78)} {}^{4}
9
(78)
4
What are the solutions to the equation 32 + 6 − 31 = −7 & Explain how you determined your answer
Answer:
False
Step-by-step explanation:
32 + 6 - 31 = 7 not -7
Answer:
32+6-31 does not equal -7
Step-by-step explanation:
32+6=38
38-31=7
Hope this helps
Last year, a lighting supplier called Bright Idea shipped a total of 37,220 lamps to its distributors. This year, the supplier shipped 29,776 lamps. What is the percent of decrease in the number of lamps shipped annually?
Answer:
25%
Step-by-step explanation:
Given data
Last years shipment= 37220 lamps
These years shipment= 29776 lamps
% Decrease= Initial-Final/Initial*100
% Decrease= 37220-29776/29776*100
% Decrease= 7444/29776*100
% Decrease= 0.25*100
% Decrease= 25%
Hence the decrease is 25%
Darius deposits $300 into a new savings account. The account earns simple interest at a rate of 2.18% annually. How much money does Darius have in his account at the end of the first year?
What is the value of x?
Answer:
x = 21
Step-by-step explanation:
ALL triangles add up to 180 degrees
180 = 22 + 57 + (5x - 4)
180 = 79 + (5x - 4)
101 = 5x - 4
105 = 5x
21 = x