Answer:
a(31) =125
Step-by-step explanation:
d=9-5=13-9=4
then it is an arithmetic sequence
a(n) = a1 +(n-1)d
a(n) = 5 +(n-1)4
a(31) = 5 +(31-1)4
=125
hope this helps
Each triangle weighs 2.5 pounds,each circle weighs 3 pounds, and x represents the weight of each square. Select all equations that represent the hanger.
Step-by-step explanation:
x+x+x+x+2.5(2)+3(2)=x+x+2.5+3(3)
4x+5+6=2x+2.5+9
4x+11=2x+11.5
-11 -11
4x=2x+0.5
-2x -2x
2x=0.5
x=0.25
The equation that can be used to represent the hanger is x + x + x + x + 11 = x + x + 11.5, and 4x + 2.5 + 2.5 + 6 = 2x + 2.5 + 3 + 3 + 3
Given:
Each triangle = 2.5 pounds
Each circle = 3 pounds
Each square = x pounds
The hanger has two sides
Side 1:
squares = 4
Triangle = 2
Circle = 2
Side 2:
Squares = 2
Triangle = 1
Circle = 3
The equation:
side A = side B
4(x) + 2(2.5) + 2(3) = 2(x) + 1(2.5) + 3(3)
4x + 5 + 6 = 2x + 2.5 + 9
4x + 11 = 2x + 11.5
x + x + x + x + 11 = x + x + 11.5
Therefore, equation that can be used to represent the hanger is x + x + x + x + 11 = x + x + 11.5, and 4x + 2.5 + 2.5 + 6 = 2x + 2.5 + 3 + 3 + 3
Read more:
https://brainly.com/question/16450098
plese someone answer me b asap
Answer:
[tex]\huge\boxed{\sf 9y^2 -22y-24}[/tex]
Step-by-step explanation:
[tex]\sf (3y-1)^2 -(2y+4)^2+(2y-3)(2y+3)\\\\Using \ formula:\\\\1) (a-b)^2 = a^2-2ab+b^2\\\\2) (a+b)^2= a^2+2ab+b^2\\\\3) (a+b)(a-b) = a^2-b^2\\\\Applying \ Formulas\\\\(3y)^2-2(3y)(1)+(1)^2-[(2y)^2+2(2y)(4)+(4)^2]+(2y)^2-(3)^2\\\\9y^2-6y+1-[4y^2+16y+16]+4y^2-9\\\\9y^2-6y+1 -4y^2-16y-16+4y^2-9\\\\Combining \ like \ terms\\\\9y^2-4y^2+4y^2-6y-16y+1-16-9\\\\9y^2 -22y-24\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
a) [tex]\frac{1}{3}[/tex] k² - 9
b) -7y² - 3
Step-by-step explanation:
a) ([tex]\frac{2}{3}[/tex] k - 6)² - ([tex]\frac{1}{3}[/tex] k + 3)²
= [tex]\frac{4}{9}[/tex] k² - 36 - [tex]\frac{1}{9}[/tex] k² + 9
= [tex]\frac{4}{9}[/tex] k² - [tex]\frac{1}{9}[/tex] k² + 9 -36
= [tex]\frac{3}{9}[/tex] k² - 27
= [tex]\frac{1}{3}[/tex] k² - 9
____________________________________
b) (3y - 1)² - (2y + 4)² + (2y - 3) (2y + 3)
= 9y² - 1 - 4y² + 16 + (2y - 3) (2y + 3)
= 9y² - 4y² - 1 + 16 + (- 3) (4y² + 6y)
= 5y² + 15 - 12y² - 18
= 5y² - 12y² + 15 - 18
= -7y² - 3
Hope this helps!
(NOTE: Do you mind marking me as Brainliest?)
A line passes through (10,5) and (13,-4). Write the equation of the line in standard form.
A. 3x-y=5
B. 3x-y=25
C. 3x+y=25
D. 3x+y=35
WILL NAME BRAINLIST!!! 50 POINTS!!
Answer: Just dropout
Step-by-step explanation: What kinda classes are you taking
Answer: do it by your self and marry Christmas you filthy animal.
Step-by-step explanation:
Today only, every sweatshirt is $4.25 less than normal price. Right now if you buy 5 sweatshirts, the total cost will be $106.25. What's the normal price of the sweatshirt?
Answer:
Step-by-step explanation:
The normal price of the sweatshirt will be $21.50 because if you divide $78.75 by 5 you get $15.75 for each sweatshirt then you add the $5.75 with will make the original price $21.50
Answer:
25.50
Step-by-step explanation:
You take 106.25 divided by 5 and you get the marked down price of one sweatshirt which is 21.25 so then you add 4.25 to that price and get 25.50.
what does x equal in 6x + 9 = -12
Answer:
. 。 • ﾟ 。 .
. . 。 。
. 。 ඞ 。 . •
ﾟ -3.5 was the answer. 。 .
' 1 Impostor remains 。
ﾟ . . , . .
Step-by-step explanation:
6x + 9 = -12
-9 -9
6x = -21
Divide -21 by 6
x = -3.5
How do I do the work?
12) Find the sum, S7 for the geometric series {1 + 5 + 25 + - + 15625).
[A] S, = 19531
[B] S, = 16536
[C] Sy = 15631
D] S, = 31256
[E] None of these
Understanding:
The sum of a geometric series is, [tex]a+ar+ar^2+ar^3+...[/tex], with a being the start point and r is the common ratio. We can also use the following formula to make life easier [tex]S_n=a\frac{1-r^n}{1-r}[/tex], a is your start point, r is the common ratio, and n is the number of terms, which in our case is S7.
Solution:
Our start point is 1, [tex]a=1[/tex],
The common ratio is 5, [tex]r=5[/tex],
And finally, the number of terms is 7, [tex]n=7[/tex].
[tex]S_n=a\frac{1-r^n}{1-r} \\=(1)\frac{1-(5)^{(7)}}{1-(5)} \\=\frac{1-78125}{1-5} \\=\frac{-78124}{-4}\\=19531[/tex]
The answer is [A] 19531.
The lengths of two sides of a triangle are 5 in and 16 in. What is the range of possible lengths for the third side?
Answer:
time the number together
Step-by-step explanation:
What is the value of -3/5+ -0.75+4 7/10
Answer: 3.35
i think
Step-by-step explanation:
Which ratio is not equivalent to 15:18?
A. 60:72
B. 35:42
C. 90:105
D.25:30
Answer:
The ratio 90: 105 is not equivalent to 15: 18 ⇒ C
Step-by-step explanation:
Let us simplify the given ratio to its simplest form first
∵ The ratio is 15: 18
∵ 15 and 18 have a common factor 3
→ Divide each term of the ratio by 3
∴ [tex]\frac{15}{3}[/tex] : [tex]\frac{18}{3}[/tex] = 5: 6
∴ The simplest form of ratio 15: 18 is 5: 6
Let us find which choice will not give us the same ratio 5: 6
∵ 60: 72 have a common factor 12
→ Divide each term of the ratio by 12
∵ [tex]\frac{60}{12}[/tex] : [tex]\frac{72}{12}[/tex] = 5: 6
∴ The simplest form of ratio 60: 72 is 5: 6
∴ The ratio 60: 72 is equivalent to 15: 18
∵ 35: 42 have a common factor 7
→ Divide each term of the ratio by 7
∵ [tex]\frac{35}{7}[/tex] : [tex]\frac{42}{7}[/tex] = 5: 6
∴ The simplest form of ratio 35: 42 is 5: 6
∴ The ratio 35: 42 is equivalent to 15: 18
∵ 90: 105 have a common factor 15
→ Divide each term of the ratio by 15
∵ [tex]\frac{90}{15}[/tex] : [tex]\frac{105}{15}[/tex] = 6: 7
∴ The simplest form of ratio 90: 105 is 6: 7
∴ The ratio 90: 105 is not equivalent to 15: 18
HELPPPPP PLEASEEEEE!!!
Answer:
The height of right circular cone is h = 15.416 cm
Step-by-step explanation:
The formula used to calculate lateral surface area of right circular cone is: [tex]s=\pi r\sqrt{r^2+h^2}[/tex]
where r is radius and h is height.
We are given:
Lateral surface area s = 236.64 cm²
Radius r = 4.75 cm
We need to find height of right circular cone.
Putting values in the formula and finding height:
[tex]s=\pi r\sqrt{r^2+h^2}\\236.64=3.14(4.75)\sqrt{(3.75)^2+h^2} \\236.64=14.915\sqrt{(3.75)^2+h^2} \\\frac{236.64}{14.915}=\sqrt{14.0625+h^2} \\15.866=\sqrt{14.0625+h^2} \\Switching\:sides\:\\\sqrt{14.0625+h^2} =15.866\\Taking\:square\:on\:both\:sides\\(\sqrt{14.0625+h^2})^2 =(15.866)^2\\14.0625+h^2=251.729\\h^2=251.729-14.0625\\h^2=237.6665\\Taking\:square\:root\:on\:both\:sides\\\sqrt{h^2}=\sqrt{237.6665} \\h=15.416[/tex]
So, the height of right circular cone is h = 15.416 cm
PLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answer
7x2 - 2x2 = .......................................
simple but he help me out
(BTW if u answered the)
Answer:
10
Step-by-step explanation:
7*2 - 2*2 = 14 - 4 = 10
Plz mark as brainliest!
Answer:
10
Step-by-step explanation:
Restaurant A sells 10 tacos for $8.50. How much does Restaurant A charge for 1 taco?
Answer:
$0.85
Step-by-step explanation:
Given that,
Price of 10 tacos for $8.50
We need to find the charge for 1 taco.
We can find it using the unitary method.
10 tacos = $8.50
1 taco = [tex]\dfrac{8.5}{10}[/tex] = $0.85
Hence, restaurant A charge $0.85 for 1 taco.
Would these be linear combinations or quadratic equations
Answer:
actually it is a simultaneous equation from linear combinations
Review the function table below. Enter the slope of the function in the box.
Answer:
3
Step-by-step explanation:
The need the distance
we have a formula for the distance between two poits
AB=[tex]\sqrt{(5-2)^2+(10-2)^2}[/tex]
AB=[tex]\sqrt{3^2+8^2}[/tex]
AB=[tex]\sqrt{9+64}[/tex]
AB=[tex]\sqrt{73}[/tex]
AB=8.54400
AB≈8.54
Answer:
X = root 73
Step-by-step explanation:
Basically you have to use the slope formula and slope intercept aka y = mx+b to find the equation. The equation is: 8/3x minus 10/3 and if you were to set this equation to zero and plug in root 73 you would get 0 meaning this answer is true/right.
Martha and 4 friends attended a volleyball game. Admission was $3.50 per person. They all got snacks that were $2.50 each and a drink that was $1.50. On the way home they stopped at Starbucks for a frappucino that cost $4.75 per person. Martha paid for everything. How much did she pay?
Answer:
$61.25
Step-by-step explanation:
Given that:
There are 5 persons (Martha and 4 other friends)
Fee for admission for each person = $3.50
Price for snacks for each person = $2.50
Price for drinks for each person = $1.50
Price for frappucino for each person = $4.75
All the money was paid by Martha.
To find:
Total money paid by Martha.
Solution:
First of all, let us find the total cost for one person.
Total cost for one person = $3.50 + $2.50 + $1.50 + $4.75 = $12.25
There are a total of 5 persons.
Therefore total cost = $12.25 [tex]\times[/tex] 5 = $61.25
Total money paid by Marth = $61.25
A fraction becomes 4÷5 if 1 is added to both numerator and denominator. If, however, 5 is subtracted from both numerator and denominator , the fraction becomes 1÷2. Find tge fraction by using crammer rule.
Answer:
[tex]\dfrac{7}{9}[/tex]
Step-by-step explanation:
[tex]\dfrac{x+1}{y+1}=\dfrac{4}{5}\\\Rightarrow 5x-4y=-1[/tex]
[tex]\dfrac{x-5}{y-5}=\dfrac{1}{2}\\\Rightarrow 2x-y=5[/tex]
Putting it in matrix form
[tex]\begin{bmatrix}a_{1}&b_{1}\\a_{2}&b_{2}\end{bmatrix}{\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}{c_{1}}\\{c_{2}}\end{bmatrix}\\\Rightarrow\begin{bmatrix}5 & -4\\2 & -1\end{bmatrix}\begin{bmatrix}x\\ y\end{bmatrix}=\begin{bmatrix}-1\\ 5\end{bmatrix}[/tex]
From Cramer's rule we have
[tex]x=\dfrac{\begin{vmatrix}c_1 &b_1 \\ c_2 & b_2\end{vmatrix}}{\begin{vmatrix}a_1 &b_1 \\ a_2& b_2\end{vmatrix}}\\\Rightarrow x=\dfrac{\begin{vmatrix}-1 &-4 \\ 5 & -1\end{vmatrix}}{\begin{vmatrix}5 &-4 \\ 2& -1\end{vmatrix}}\\\Rightarrow x=\dfrac{1+20}{-5+8}\\\Rightarrow x=7[/tex]
[tex]y=\dfrac{\begin{vmatrix}a_1 &c_1 \\ a_2 & c_1\end{vmatrix}}{\begin{vmatrix}a_1 &b_1 \\ a_2& b_2\end{vmatrix}}\\\Rightarrow y=\dfrac{\begin{vmatrix}5 &-1 \\ 2 & 5\end{vmatrix}}{\begin{vmatrix}5 &-4 \\ 2& -1 \end{vmatrix}}\\\Rightarrow y=\dfrac{25+2}{-5+8}\\\Rightarrow y=9[/tex]
Verifying the results
[tex]\dfrac{7+1}{9+1}=\dfrac{8}{10}=\dfrac{4}{5}[/tex]
[tex]\dfrac{7-5}{9-5}=\dfrac{2}{4}=\dfrac{1}{2}[/tex]
Hence, the fraction is [tex]\dfrac{7}{9}[/tex].
y = mx + c
Find the value of y when m=-2,x=-7 and c=-3.
Answer:
put the value of the place of alpha bat let,y=-2×-7+(-3)y=-14+(-3)y=-14+3y=-11. ansWrite the equation in standard form: -2 (x - 5) = 3y *
0 -2x + 10x = 3y
O y = -2/3x + 10/3
0 -3y - 2x = -10
0 -3-27 = 10
Answer:
In think is the first one
please, help, asap thank youu
Answer:
i think it might be B or D
65% of American adults are video gamers. What percentage of American adults are not video gamers?
please help me !!!!!!!!!!!!!!!!!!!!!!!!
Answer:
20
Step-by-step explanation:
15 is the mid so +5 is 20 thus 20 is the anser
CAN SOMEBODY PLEASE HELPP THIS IS URGENT
Answer:
1. The fraction is 11/9
Step-by-step explanation:
You didn't specify which ones you need help with so I'm answering the first one for you.
let x=1.2 —equation 1
10x=12.2 —equation 2
subtract equation 1 from 2
10x-x=12.2-1.2
9x=11
x=11/9
Veronica is shopping for school clothes. She wants to buy pants and shirts. The cost of her clothes can be found using the expressions 30x+ 25y where x is the number of pants and y is the number of shirts. She will also pay 8 tax. If Veronica buys eight shirts and two pairs of pants use the expression from question 4 to determine the total cost of the bill including 8% tax
Answer:
$280.80
Step-by-step explanation:
Given:
C = 30x+ 25y
Where,
C = total cost
x = number of pants
y = number of shirts.
If Veronica buys eight shirts and two pairs of pants
C = 30x + 25y
= 30(2) + 25(8)
= 60 + 200
= 260
C = $260
Sales tax rate = 8%
Amount of sales tax = 8% of $260
= 8/100 × 260
= 0.08 × 260
= $20.80
Total cost of the bill including 8% tax = $260 + $20.80
= $280.80
At Store B, Tucker used a 35%-off coupon to buy a chain. Write an
expression for the price of this chain.
what is the price of the chian
The sum of two numbers is 23. The larger number y is 1 less than twice the smaller number x. Write and solve a system of linear equations to find the two numbers.
Answer:
15 and 8
Step-by-step explanation:
Can you someone please solve 2 and 3
Answer:
I think the first one is 4 and the second one is 2
Step-by-step explanation: