Step-by-step explanation:
Given
Circumference of circle = 48.042 yards
diameter (d) = ?
we know
Circumference = πd
or, 48.042 = 3.14 * d
or, d = 48.042 / 3.14
Therefore d = 15.3 yards
The circle's diameter is 15.3 yards.
Hope it will help :)❤
On an island there are 7 cities each 2 of them connected by a direct road they are building a 8th city they also want it to connect with the other 7 existing cities how many roads will there be after they build the 8th city
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.
please answer these 5 questions:). (for a practice test graph photo up above) (question 9) use the graph to find the slope and y-intercept. (question 10) steve started with $50 and saved $20 each week. what is the equation when y represents the amount of savings and x represents weeks? how much will steve have after 4 weeks? (question 11) brittany started with $300 and spent $40 per week. what is the equation when y represents savings and x represents weeks? how much will brittany have after 4 weeks? (question 12) convert to slope-intercept form. -5/8x - 1/2y = 1 (question 13) convert to slope-intercept form. 9 + 3x = 6y
Answer:
9. slope: 1/2 y-int: -4
10. y=20x+50
11. y=-40x+300
12. i dnt know
13.9/6+3/6x=y or 1.5+0.5=y
Step-by-step explanation:
10. starts at 50, goes up by 20 per week
11. starts at 300, goes down 40 per week
13.
9+3x=6y
9/6+3/6x=y or 1.5+0.5=y
16 cars are parked if 1/4 of them are blue how many cars are blue
Answer: 4
Step-by-step explanation:
Answer:4
Step-by-step explanation: for example, you have 1/4 if you double that you get 2/8, triple it would be 3/12, next would be 4/16
Determine the Equation of the line Perpendicular to 2x -3y +5= 0 and passers through (-6,-3)
9514 1404 393
Answer:
3x +2y +24 = 0
Step-by-step explanation:
In general, the equation of a perpendicular line can be found by swapping the coefficients of x and y, then negating one of them. The value of the constant will be what is required to make the line pass through the given point.
The equation will be of the form ...
3x +2y +c = 0
At the given point, (x, y) = (-6, -3), we have ...
3(-6) +2(-3) +c = 0 . . . . substitute the given point coordinates
-18 -6 +c = 0 . . .simplify
c = 24 . . . . . . . . add 24
The general-form equation for the line is ...
3x +2y +24 = 0 . . . . . shown in blue in the attachment
Use the function below to find F(1).
F(t) = 2•1/2^3t
Please Help
Answer:
C. 1/4
Step-by-step explanation:
2 * 1/2^3t
substitute 1 for t so it would be:
2 * 1/2^3 = 2 * 1/8 = 2/8 = 1/4
The small pizza is 8 inch what the circumference plz help
Which fraction is equivalent to 33%? (in simplest fraction form)
334%
A)
M
B)
2.
3
.
Alw
D)
wilw
Answer:
Step-by-step explanation:
33% = 33/100
Find the area I will mark the BRAINIEST
Answer:
Step-by-step explanation:
James has $10 in 5-cent and 10-cent coins in his change jar and counts 157 coins in total. How many 10-cent coins does he have?
Show working out!!
Answer:
10 cent coins = 43
Step-by-step explanation:
x = 10 cent coins
y = 5 cent coins
x + y = 157, then y = 157 - x
$10 = 1000 cents
0.10x + 0.05y =1000
substitute for y:
0.10x + 0.05(157 - x) = 1000
0.10x + 7.85 - 0.05x = 1000
combine like terms:
0.05x = 2.15
x = 43
y = 114
6. There are 12 girls and 8 boys in
Ms. Sander's class. Each day, she
randomly asks one student to take
attendance. In 180 school days, which
is the best prediction for the number of
times that the student will be a girl?
A. 72
(B. 90
C. 99
D. 108
Answer:
90
Step-by-step explanation:
its half
I will mark you brainlist!
Bobby build a wooden rectangular sandbox with dimension of 3 1/4 by 5 1/2 he now wants to expand each side by 1/4 feet. What would be the new dimension of the sandbox?
Find the area of the triangle
Answer:
C) 17.1 square units
Step-by-step explanation:
Use Heron's formula to calculate the area of the triangle:
[tex]Area = \sqrt{s(s-a)(s-b)(s-c)}[/tex] where [tex]s=\frac{a+b+c}{2}[/tex] which represents the semi-perimeter of the triangle:
[tex]s=\frac{9.9+6.1+6}{2}=11[/tex]
Therefore:
[tex]Area = \sqrt{11(11-9.9)(11-6.1)(11-6)}\\[/tex]
[tex]Area = \sqrt{11(1.1)(4.9)(5)}\\[/tex]
[tex]Area = \sqrt{296.45}\\[/tex]
[tex]Area = 17.2[/tex]
Therefore, the closest answer choice is C) 17.1 square units
Mary McDonald makes mugs in Miami. She makes two sizes of mugs: a small mug that she sells for
$2.50 and a large mug that she sells for $5.75. Yesterday Mary made $56. Before she opened her shop in the morning, she had 200 mugs in her inventory. At the end of the day she has 188. How many mugs of
each price did she sell?
Answer:
4 small
8 large
Step-by-step explanation:
s - small mug
l - large mug
Yesterday she had 200 at start of day
at end of day 188 left, so she sold 12 mugs
(1) s + l = 12
(2) 2.50s + 5.75l = 56.00
Solve for l in (1)
l = 12 - s
substitute in l = 12 - s into (2)
2.50s + 5.75(12-s) = 56.00
2.50s + 69.00 - 5.75s = 56.00
-3.25s + 69.00 = 56.00
-3.25s = -13.00
s = 4
to find l substitute s = 4 into (1)
4 + l = 12
l = 8
plz help me i need help I can do it but don't have time to think
Step-by-step explanation:
3a + 2 = 8 ==> a=2
12 + 2 = c ==> c=14
3b + 2 = 2 ==> b=0
3d - e = 15
4d - e = 21
fd - e = 45
------------------
d=6
e=3
f=7
Hope to helpfull
James raises chickens. He tracks the number of eggs his chicken lay at the end of each week. Is this relation a Function? Explain
Answer:
Yes it is a function.
Step-by-step explanation:
It is given that James raises chickens in his farm. and the chicken laid eggs on each day. James keeps a track of the number of eggs that his chicken laid at the end of each week.
This is a function because according to the definition of a function, if each of he input corresponds to exactly one output, then that relation is called as a function.
In this case, every week the chickens lay different number of eggs. So every week corresponds to the different number of eggs laid by the chicken. So it is a function.
Answer:
Yes it is a function because there is a domain/Input for each Range/Output
Step-by-step explanation:
pweassss e help meee◑__◐
Answer: C
Step-by-step explanation:
divide 342 by 7 and round to the nearest whole number
Ana has a hypothesis that girls get up earlier and, as a result, usually enter Ana's Donut Shop before boys do. To
test her hypothesis, she spends 10 mornings asking the first 3 people to enter her shop whether they are a boy
or a girl.
The data she collects is given in the table below. "G" represents a girl, and "B" represents a boy.
Drag the bars to make a relative frequency plot that shows the proportion for each possible number of girls in
the first 3 customers in a day.
Answer:
0 = 0.2 1 = 0.3, 2 = 0.4, 3 = 0.1
Step-by-step explanation:
Khan Academy told me
What must the measure of the
angle marked yº be in order for the seat of the bench to be
parallel to the ground?
Answer:
Linear pair angle of 136 degree =180-136
=44
Therefore angle y is alternate angle of 44
Therefore angle y=44
Answer:
44
Step-by-step explanation:
180 - 136 = 44
Express y in terms of x
Answer:
y = 3x
Step-by-step explanation:
to get y we multiply x by 3 so we have that y = 3x.
Q1 : Gina writes the letters of the word PROBABILITY on separate cards. She picks one card at random. What is the probability that the card Gina selects is:
a) The letter B
b) A vowel
c) A letter before M in the alphabet?
Answer:
2/11
4/11
6/11
Step-by-step explanation:
probability the letter B = number of times b appears in the word / total number of alphabets
total number of alphabets = 11
number of times b appears in the word = 2
2/11
a vowel = total number of vowels in the word / total number of alphabets
vowels include = a,e,i,o,u
vowels in the word = a, o, i
total number of vowels in the word = 4
4/11
A letter before M in the alphabet = total number of alphabets before m in the word / total number of alphabets
letters before m = A, B, C, D, E, F, G, H, I, J, K, L
letters before m in the word = b,a, i , l
number of words before m = 6/11
What is the area of the circle? I need help please!
Answer: 78.5
Step-by-step explanation:
In the app Kami, can the teacher see what time you edited the assginment. Like if i edit it at 3:00 pm, can they see what and how fast i typed?
Answer: I don't think so because they can only see it when you turn it in. Trust me I have kami too.
help with my math please
Answer:
D
Step-by-step explanation:
You just distribute the negative sign.
Eric drove 804 miles in 12 hours. At the same rate, how many miles would he drive in 8 hours?
Answer:
Sorry, I can't help you with that :( I hope someone else can tho!
Kyleigh invested $2800 in an account paying an interest rate of 5 1/2% compounded annually Ariana invested $2800 in an account paying in interest rate of 5 3/4%compounded continuously after 12 years how much more money with Ariana having her account then Kylie to the nearest dollar?
Answer:
$259
Step-by-step explanation:
\text{Rate 1: }5\tfrac{1}{2}\%=5+1/2=
Rate 1: 5
2
1
%=5+1/2=
\,\,5.5\%\rightarrow 0.055
5.5%→0.055
\text{Rate 2: }5\tfrac{3}{4}\%=5+3/4=
Rate 2: 5
4
3
%=5+3/4=
\,\,5.75\%\rightarrow 0.0575
5.75%→0.0575
\text{Calculate Final Amount for Kylie}
Calculate Final Amount for Kylie
\overline{\phantom{\text{Calculate Final Amount for Kylie}}}
Calculate Final Amount for Kylie
\text{Compounded Annually:}
Compounded Annually:
A=P(1+r)^t
A=P(1+r)
t
P=2800\hspace{35px}r=0.055\hspace{35px}t=12
P=2800r=0.055t=12
Given values
A=2800(1+0.055)^{12}
A=2800(1+0.055)
12
Plug in values
A=2800(1.055)^{12}
A=2800(1.055)
12
Add
A=5323.381
A=5323.381
Use calculator
\text{Calculate Final Amount for Ariana}
Calculate Final Amount for Ariana
\overline{\phantom{\text{Calculate Final Amount for Ariana}}}
Calculate Final Amount for Ariana
\text{Compounded Continuously:}
Compounded Continuously:
A=Pe^{rt}
A=Pe
rt
P=2800\hspace{35px}r=0.0575\hspace{35px}t=12
P=2800r=0.0575t=12
Given values
A=2800e^{0.0575(12)}
A=2800e
0.0575(12)
Plug in
A=2800e^{0.69}
A=2800e
0.69
Multiply
A=5582.4035
A=5582.4035
Use calculator (with e button)
\text{How much more money Ariana has:}
How much more money Ariana has:
5582.4035-5323.381
5582.4035−5323.381
259.0225
259.0225
Help Pleaseeeeeeeeeeeeeee!
Answer:
12x+5=162
Step-by-step explanation:
jhvjkelhndbkjehlhdbhlfoei;hljkdv joer
Answer:
2.5
Step-by-step explanation:
5/8 - 2/9 × 3/8 fraction simplify quick please
We had a revision and I forgot can you help me
Answer:
ans is 13/25
Step-by-step explanation:
hope it helps!!!
2[3(4 to the second power + 1)] - 2 to the third power
Answer:
the answer isn’t 95
Step-by-step explanation:
2[3(4^2+1)]-2^3
2[3(17)]-2^3
2[51]-2^3
2x51-2^3
103- -2^3
103-8
95
Please help me with this!!!
