Answer:
11
Step-by-step explanation:
Mean - add all the numbers up and divide by the amount of numbers you have.
Add all the numbers up-
17 + 9 + 11 + 7 = 44
Divide by the amount of numbers you have, since you have 4, divide by 4
44/4 = 11
11 would be your answer!
I hope it helps! Have a great day!
Muffin ^^
I dont know how to solve equations by completing the square x^2 −51=14x
Answer:
or, x^2-14x-51=0
or, x^2-(17-3)x-51=0
or, x^2-17x+3x-51=0
or, x(x-17)+3(x-17)=0
or, (x-17)(x+3)=0
Either, x-17=0. Or, x+3=0
x=17. x= -3
Hence,x=17, -3
[tex]x^2-51=14x\\\\\implies x^2-14x = 51\\\\\implies x^2 -2\cdot 7\cdot x+7^2-7^2 =51\\ \\\implies x^2 -2\cdot 7 \cdot x +7^2 = 51 +49\\\\\implies (x-7)^2=100\\\\\implies x-7 = \pm\sqrt{100}\\\\\implies x =\pm10+7\\ \\\text{Hence,}~ x=17, ~x=-3[/tex]
a .circle with diamter at (2,2) and (8,14
the equation of the circle with diameter at (2,2) and (8,14) is (x-5)^2 + (y - 8)^2 = 45
How to calculate the equation of a circle?A circle is a 2-dimensional shape with no edges.
The standard equation of a circle with centre (a, b) and radius "r" is given as:
(x-a)^2 + (y-b)^2 = r^2
Given the diameter of circle with coordinate (2,2) and (8,14), the diameter is expressed as:
D = √12² + 6²
D = √144+36
D = √180
For the radius
r = √180/2
r² = 180/4
r² = 45
Determine the centre (a, b)
(a, b) = (2+8/2 2+14/2)
(a, b) = (5, 8)
Substitute
(x-5)^2 + (y - 8)^2 = 45
Hence the equation of the circle with diameter at (2,2) and (8,14) is (x-5)^2 + (y - 8)^2 = 45
Learn more on equation of a circle here: https://brainly.com/question/1506955
Could someone please help me with this problem and give me an explanation on how to solve it?
Answer:
B
Step-by-step explanation:
(a^3/2) / a
= a^(1/2)
= √a
= B
Answer:
D. A ( a-1/2)
Step-by-step explanation:
Hello!!
You must cancel out the common factor or in this case, ( a3/2) on the top.
You will now have ( 3/2) which should then be simplified to ( 1 1/2) or in this case ( A- 1/2)
Hope this helped!. :)
alguien me ayuda ,, Hallar la suma de los primeros 20 numeros multiples de 3
Answer:
630
Step-by-step explanation:
1st = 3
2nd = 6
3rd = 9 ...
20th = 60
Súmalos todos juntos para encontrar la suma.
3 + 6 + 9 + 12 + 15 + 18 + 21 + 24 + 27 + 30 + 33 + 36 + 39 + 42 + 45 + 48 + 51 + 54 + 57 + 60 = 630
La suma de los primeros 20 múltiplos de 3 es 630
¡Espero que esto ayude!
Find the ratios of the quantities below and write them in the form a/b (a over b)
1. 8cm and 17cm
2. 3800$ and 1500$
3. 1 1/2 day and 13 hours
Answer:
Hope the picture will help you
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
6/5 or A. 1 1/5
Step-by-step explanation:
Hey there!
In order to simplify this, you need to add the numerators but not the denominators since they are the same
4+2=6
So this shows that the answer is 6/5 or 1 1/5
Answer:
6/5 or 1 1/5 or A
Step-by-step explanation:
In order to simplify this, you need to add the numerators but not the denominators since they are the same
4+2=6
So this shows that the answer is 6/5 or 1 1/5
f is inversely proportional to p. f = 8 when p = 9 a) Use the information above to write an equation for f in terms of p. b) What is the value of f when p 5? Give any decimal answers to 1 d.p.
Answer:
a. f = 72/p
b. 14.4
Step-by-step explanation:
a. bringing in constant k,
f = k/p
cross multiplying
k = fp
k = 8×9
k = 72
the formula for f;
f = 72/p
b. Using the formula for f
f = 72/p
f = 72/5
f = 14.4
10. A table tennis ball has a diameter of 40 mm. What is the surface area of the tabletennis ball?
Answer:
D
Step-by-step explanation:
The equation is 4πr²
The radius is half the diameter so divide the diameter by 2
40÷2=20
4π(20)²=5026.55mm
Rounds to 5027
Four equations are graphed on the coordinate grid:
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Line A passes through the ordered pairs negative 8, 5 and 4, negative 7. Line B passes through the ordered pairs negative 3, 8 and 2, negative 7. Line C passes through the ordered pairs 0, 9 and negative 7, negative 5. Line D passes through the ordered pairs 1, 4 and negative 4, negative 1 and is extrapolated further in the quadrant.
Which set of equations has (−2, 5) as its solution?
A and B
B and D
B and C
A and D
Answer:
B and C
Step-by-step explanation:
The point where (-2,5) is located is also a intersection between the line B and C.
What is the price per foot.
Step-by-step explanation:
oh, come on ! you really cannot figure that one out ?
as there are 3 ft in 1 yd, 6 yd are then 6×3 = 18 ft.
so, 18 ft cost $2.88
1 ft costs then 2.88/18 = $0.16
pleas help with the khan academy question
Answer:
1. 10
2. 4
3. 8
Step-by-step explanation:
You have to fill in the given values for y and undo in reverse order to find x.
1. y = 6
6 = x - 4
6 (+ 4) = x - 4 (+ 4)
10 = x
2. y = 0
0 = x - 4
0 (+ 4 ) = x - 4 (+ 4)
4 = x
3. y = 4
4 = x - 4
4 (+ 4) = x - 4 (+ 4)
8 = x
I hope this helps! Have a lovely day!! :)
PLS HELP ASAP FIRST CORRECT ANSWER GETS BRAINLIEST
Answer:
9.7
Step-by-step explanation:
sqrt(12^2-7^2) = sqrt(95) or 9.7
Step-by-step answer, please.
Answer:
-335670
Step-by-step explanation:
Given :
a₁ = 2[tex]a_{i} = a_{i-1}-3[/tex]Solving :
Sum of an arithmetic sequence is given byS₃₃₅ = 335/2 x 2(2) + (335 - 1)(-3)S₃₃₅ = 335/2 x -4008S₃₃₅ = 335 x -2004S₃₃₅ = -335670It forms a arithmetic sequence
First term=a=2Common difference=d=-3So
a_335:-
a+334d2-(334)(3)2-1002-1000So
S_n
n/2[a+l]335/2[2-1000]335/2[-998]335(-499)-167165There are 70
70
days in ten weeks.
Based on the mean from the sample, how many more guests will stay at the small hotel than at the bed and breakfast in a 10
10
-week period?
Based on the mean from the sample, I would expect that the number of guests that will stay at the small hotel than at the bed and breakfast would be 4.50.
How many more guests will stay at the small hotel than at the bed and breakfast?
Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
The number of guests at the small hotel in excess of those at the bed and breakfast = 7.75 - 3.25 = 4.50
To learn more about mean, please check: https://brainly.com/question/25842202
Answer:
315 more guests will stay at the small hotel than at the bed and breakfast in a 10-week period.
----------------------------------------------------------------------------------------------------------
At the small hotel, a mean of 7.75 guest stay per night. 10 weeks have 70 days, then the total amount is:
S = 7.75 x 70 = 542.5
At the bed and breakfast, the mean was of 3.25 guests per night, hence:
B = 3.25 x 70 = 227.5.
The difference is given by:
S - B = 542.5 - 227.5 = 315.
Therefore, 315 more guests will stay at the small hotel than at the bed and breakfast in a 10-week period.
Factorise the following quadratic:
m^2 - 5m + 6
Answer:
(m-3)(m-2)
Step-by-step explanation:
Here,
m^2- 5m + 6
=m^2-(3+2)m +6
=m^2 - 3m - 2m +6
=m(m - 3) - 2 (m - 3)
=(m-3)(m-2)
What is the correct answer for this
Answer:
The answer for this question is 9.
Step-by-step explanation:
8.5 x 4 x 9 is 306
Answer:
P = 9 mm
Step-by-step explanation:
306 = P X 8.5 X 4
306 = 34P
[tex]306/34 = P[/tex]
P = 9 mm
Hope this helps
Data can be classified as categorical or
numerical. Which question would be classified as
numerical?
A. Which grade are you in?
B. What is your zip code?
C. Who is your favorite artist?
D. How many texts did you send this week?
Answer:
D
Step-by-step explanation:
You deposit $2500 into an account that pays
3.5% annual interest compounded daily. How long will it take for the
balance to reach $3000
now, this is assuming there are 365 days in 1 year, so
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$3000\\ P=\textit{original amount deposited}\dotfill &\$2500\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{daily, thus 365} \end{array}\dotfill &365\\ t=years \end{cases}[/tex]
[tex]3000=2500\left(1+\frac{0.035}{365}\right)^{365\cdot t}\implies \cfrac{3000}{2500}=\left(1+\frac{0.035}{365}\right)^{365t} \\\\\\ \cfrac{6}{5}=\left(1+\frac{0.035}{365}\right)^{365t}\implies \cfrac{6}{5}=\left(\cfrac{73007}{73000}\right)^{365t}[/tex]
[tex]\log\left( \cfrac{6}{5} \right)=\log\left[ \left(\cfrac{73007}{73000}\right)^{365t} \right]\implies \log\left( \cfrac{6}{5} \right)=t\log\left[ \left(\cfrac{73007}{73000}\right)^{365} \right] \\\\\\ \cfrac{~~ \log\left( \frac{6}{5} \right)~~}{\log\left[ \left(\frac{73007}{73000}\right)^{365} \right]}=t\implies 5.21\approx t\qquad \textit{about 5 years, 2 months and a half}[/tex]
7 < 3 - 2x I need help with getting the answer
Answer:
x < - 2
Step-by-step explanation:
7 < 3 - 2x ( add 2x to both sides )
2x + 7 < 3 ( subtract 7 from both sides )
2x < - 4 ( divide both sides by 2 )
x < - 2
. The difference between the length and width of a rectangle is
7 cm. The perimeter of the rectangle is 22 cm. Find the length
and the width. (Remember, P= 21 + 2w.)
Answer:
Rectangle
Solve for length
l=4cm
w Width
7
cm
P Perimeter
22
cm
Using the formula
P=2(l+w)
Solving forl
l=P
2﹣w=22
2﹣7=4cm
A recipe for muffins calls for 1 1 over 3 cups of milk. a recipe for bread calls 2 over 3 cup of milk how much more milk is needed for the muffin recipe than the bread recipe
Answer:
The Muffin Recipe calls for 3 more cups of Milk than the Bread Recipe.
Step-by-step explanation:
11/3=
3[tex]\frac{2}{3}[/tex]
2/3
We can see that the difference is GREAT. So, now, let's subtract.
[tex]3\frac{2}{3} -\frac{2}{3} =3[/tex]
So hence, the Muffin Recipe calls for 3 more cups of Milk than the Bread Recipe!
----------------------------------------------------------------------------------------------------------"The beautiful thing about learning is that no one can take it away from you!"
B.B.King
Thanks!
Have a great night!
~ms115~
:D
The muffin recipe requires 2/3 cup more milk than the bread recipe.
What is subtraction?Subtraction is a mathematical operation. Which is used to remove terms or objects in the expression.
To find out how much more milk is needed for the muffin recipe than the bread recipe,
we need to calculate the difference between the amount of milk required for each recipe.
The muffin recipe calls for 1 1/3 cups of milk, which is equivalent to 4/3 cups of milk.
The bread recipe calls for 2/3 cup of milk.
To find the difference between the two amounts of milk, we can subtract the milk required for the bread recipe from the milk required for the muffin recipe:
4/3 - 2/3 = 2/3
Therefore, 2/3 is the required fraction.
To learn more about subtraction;
https://brainly.com/question/2346316
#SPJ2
At a basketball game, a vendor sold a combined total of 197 sodas and hot dogs. The number of hot dogs sold was 41 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.
The number of sodas sold: ?
The number of hot dogs sold: ?
At a basketball game, a vendor sold a combined total of 197 sodas and hot dogs. The number of hot dogs sold was 41 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold .
Given : -Total of sodas and hot dog sold = 197No. of hot dogs sold = 41 less than the no. of sodas soldTo Find : -No. of soda soldNo. of hot dog soldConcept : -We have to solve this question by making equation and after creating equations we have to solve them properly to get the final answer .
To Assume : -Let the no. of soda sold be x .Let the no. of hot dogs sold be x - 41 ( Because they are 41 less than sodas )So Starting Solution : -According to question we know that combined total of sodas and hot dogs is :
x + ( x - 41 ) = 197x + x - 41 = 1972x - 41 = 1972x = 197 + 412x = 238x = 238/2x = 119Therefore , No. of sodas sold is 119 .
Now , Hot dogs :
x - 41 119 - 41 78Therefore , No. of hot dogs sold is 78 .
Verifying :We know that their combined sum is equal to 197 . So ,
Sodas + Hot Dogs = 197119 + 78 = 197197 = 197L.H.S = R.H.STherefore , our answer is valid .
#[tex] \sf{Keep \: Learning}[/tex]Use substitution to solve the system.
2y-13=x
-4x+5y=40
X=
Y=
y=4
x=-5
Step-by-step explanation:
-4(2y-13) + 5y = 40
-8y + 52 + 5y = 40
-3y + 52 = 40
-3y = -12
y=4
x=-5
Andrea went strawberry picking. She picked 245 strawberries. Julio went with her and picked
x fewer than she did. Write an expression that shows the number of strawberries that Julio
picked?
Answer:
245-x
Step-by-step explanation:
Since x is the anount fewer than the mount Andrea picked, to get Julio's amount you would subtract x from 245.
Solve for x.
С
D
*
112°
yº
(2x)
>>
A
B
Find the arc length of a central angle of 36° in a circle whose radius is 2 inches.
Answer:
y
Step-by-step explanation:
bc I told u to ..............
A) name the angle relationship
B) congruent or supplementary
C) angle measurement
Help please
Step-by-step explanation:
A is adjacent angles
B is supplementary
C is 180 - 131 = 49°
Mr. Beasley's science class wants to decorate one wall in the classroom like an underwater scene. They use sheets of blue poster board that are 2 feet long and 2 feet wide. How many sheets of blue poster board are used to cover the entire area of the wall? use math words and symbols to explain how you solve
Answer:
however big her wall is. if you give me how big her wall is i can help u more on this
Step-by-step explanation:
An art teacher put 108 markers on the 8 tables in her room she gave out the greatest number of markers possible so that each table had the same number of markers how many markers were left over?
Answer:
4 markers left
Answer:
4 markers
Step-by-step explanation:
108/8=13.5
13x8=104
108-104=4
What is the solution to the system of equations
y=3x+7
2x+3y=32
Answer:
x=1, y=10
Step-by-step explanation:
I'm gonna use the method of substitution.
2x+3(3x+7)=32
2x+9x+21=32
11x=11
x=1
y=10