Answer:
[tex]\boxed{\boxed{\sf~a_6=23}}[/tex]
Solution Steps:
This is an arithmetic sequence since there is a common difference between each term. In this case, adding 5 to the previous term in the sequence gives the next term. In other words, [tex]a_n=a_1+d(n-1)[/tex].
Arithmetic Sequence: [tex]d=5[/tex]
Find the next term using the Arithmetic Sequence.
Arithmetic Sequence: [tex]a_6=a_5+5[/tex]
[tex]a_6=18+5=23[/tex]
ASAP MATH!! MARKING BRAINLIST!!
help againlol
Miguel designs a square garden. Each side length is 3x + 5. Write an expression to find the perimeter of Miguel’s garden.
Answer:
12x+20
Step-by-step explanation:
Perimeter of a garden = 4s, s being the length of the side
In this case, s = 3x+5
substitute the equation
4(3x+5)
=12x+20
What ist he solution of the equation?
2=6p-8-5p
a 10
b -6
c 2
d 10
Answer:
10
Step-by-step explanation:
6p - 5p = p
p - 8 = 2
2 + 8 = 10
10 - 8 = 2
so, p = 10
PLZ....
11. Find mZJHI.
Answer:
JHI = 23°
Step-by-step explanation:
Since it's a rectangle it has 4 right angles.
90= 3x + 2 + 12x -17
90= 15x -15
105= 15x
x=7°
So HJI would be 12*7 -17 = 67°
Knowing that the sum of the angles of a triangle is 180°,
67° + 90°+ JHI= 180°
JHI = 23°
Answer:
Step-by-step explanation:
we have 2 equations that we can set equal to 90. that way, we can find x and then solve the equations for themselves. angle JHI is equal to GJK, which is an angle we can easily find. here is my work:
(3x + 2) + (12x - 17) = 90
15x - 15 = 90
+ 15 + 15
15x = 105
x = 7
3(7) + 2
21 + 2
GJK = 23
so, since the two angles are congruent, that means that angle JHI = 23 degrees
help me with the Quadratic equation.... x2+ (p - 5) x + 2q = 0 has the roots −3 and 6. Find the value of P and the value of q.
Step-by-step explanation:
The quadratic equation is x² + (p - 5)x + 2q = 0.
By Vieta's Formula,
we have SOR = -b/a and POR = c/a.
=> (-3) + (6) = -(p - 5) and (-3)(6) = 2q.
=> 3 = 5 - p and -18 = 2q
Hence, p = 2 and q = -9.
Alternate Method:
We have (x + 3) and (x - 6) as factors of the quadratic equation x² + (p - 5)x + 2q = 0.
=> (x + 3)(x - 6) = x² - 3x - 18.
By Comparing Coefficients,
(p - 5) = -3 and 2q = 18.
Hence p = 2 and q = -9.
please help me on this will give you brainliest
Answer:
Step-by-step explanation:
1
-
8 exponent 9
Can Someone answer this pleaseee
Matthew has a jar of 368 nickels and dimes he has been collecting. The total value of the coins is $28.40.Which system of linear equations and solution can be used to represent the number of nickels and dimes Matthew has in his collection?
A. n + d = 368 0.05n + 0.1d=28.4 168 nickels and 200 dimes
B. n + d = 368 0.01n + 0.05d=28.4 200 nickels and 168 dimes
C. n + d = 368 0.05n + 0.1d=28.4 200 nickels and 168 dimes
D. n + d = 368 0.1n + 0.05d=28.4 168 nickels and 200 dimes
Answer:
[tex]n + d = 368[/tex]
[tex]0.05n + 0.10d = 28.40[/tex]
Step-by-step explanation:
Given
[tex]Total = 368[/tex]
[tex]Value = \$28.40[/tex]
Required
Determine the linear equations to represent the scenario
Represent nickel with n and dimes with d
So, the total is:
[tex]n + d = 368[/tex]
[tex]1\ nickel = \$0.05[/tex]
[tex]1\ dime = \$0.10[/tex]
So, the value is:
[tex]0.05n + 0.10d = 28.40[/tex]
Hence, the linear equations are:
[tex]n + d = 368[/tex]
[tex]0.05n + 0.10d = 28.40[/tex]
The system of linear equations and solution can be used to represent the number of nickels and dimes Matthew has in his collection is n + d = 368 0.05n + 0.1d=28.4 168 nickels and 200 dimes.
Given that,
Matthew has a jar of 368 nickels and dimes he has been collecting. The total value of the coins is $28.40.Here we take n be nickles and d be dimes. Also, 1 nickel be = $0.05 and 1 dime be $0.10.Based on the above information, the calculation is as follows:
n + d = 368
So,
d = 368 - n
And,
0.05n + 0.10d = 28.40
0.05n + 0.10(368 - n) = 28.40
0.05n + 36.8 - 0.10n = 28.40
0.05n = 8.4
n = 168
So, d = 368 - 168
= 200
Therefore we can conclude that the correct option is A.
Learn more: brainly.com/question/16115373
A company rents out 11 food booths and 28 game booths at the county fair. The fee for a food booth is $200 plus $9 per day. The fee for a game booth is $95 plus $6 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.
Step-by-step explanation:
Total company pay
= Pay for food booths + Pay for game booths
= 11($200 + $9d) + 28($95 + $6d)
= $2200 + $99d + $2660 + $168d
= $4860 + $267d
= $3(1620 + 89d).
John is measuring a piece of glass to fit in a triangular frame. He can only remember
two sides of the frame, which are 6 centimeters and 11 centimeters. Between what
two numbers must the third side of the frame fall?
A. X < 17
B. X > 5
C.5< X < 17
D. 5 ≤ X ≤ 17
Answer: (c)
Step-by-step explanation:
Given
length of two sides of a triangle is 6 cm and 11 cm
In a triangle length of the third side lies between the sum and subtraction of the other two sides
Suppose x is the length of the third side so
[tex]11-6<x<11+6\\5<x<17[/tex]
Lupe and her friends spend $20 on hot dogs and popcorn at a
sporting event. Hot dogs cost $2.50 each, and popcorn costs $1.00
each. They buy a total of 11 items at the concession stand. How
many of each item do they buy?
Answer:
They buy 6 hotdogs and 5 popcorn
Step-by-step explanation:
Assume that they buy x hotdogs and y popcorn
∵ They buy a total of 11 hotdogs and popcorn
∵ The number of hotdogs is x and the number of popcorn is y
∴ x + y = 11 ⇒ (1)
∵ Hot dogs cost $2.50 each
∵ Popcorn costs $1.00 each
∵ They spend $20 on hot dogs and popcorn
→ Multiply x by 2.5 and y by 1, add the products and equate the sum by 20
∴ 2.5(x) + 1(y) = 20
∴ 2.5x + y = 20 ⇒ (2)
Now we have a system of equations to solve it
→ Subtract equation (1) from equation (2)
∵ (2.5x - x) + (y - y) = (20 - 11)
∴ 1.5x + 0 = 9
∴ 1.5x = 9
→ Divide both sides by 1.5 to find x
∴ x = 6
→ Substitute the value of x in equation (1) to find y
∵ 6 + y = 11
→ Subtract 6 from both sides
∴ 6 - 6 + y = 11 - 6
∴ y = 5
∴ They buy 6 hotdogs and 5 popcorn
Selena's bill came to $12.56. If she paid with $14.75 what would be her change?
Answer:
$2.19
Step-by-step explanation:
14.75-12.56=2.19
F
U .C .K .l. hola hi hello frients amigos no inglishHelp me please Im the big not smart
Answer:
Step-by-step explanation:
2v + 18 = 16 - 4(v + 7)
please help, thank you
Answer:
v=−5
Step-by-step explanation:
2v + 18 = 16 - 4(v + 7)
2v+18=16−4(v+7)
2v+18=16+(−4)(v)+(−4)(7)(Distribute)
2v+18=16+−4v+−28
2v+18=(−4v)+(16+−28)(Combine Like Terms)
2v+18=−4v+−12
2v+18=−4v−12
Add 4v to both sides.
2v+18+4v=−4v−12+4v
6v+18=−12
Subtract 18 from both sides.
6v+18−18=−12−18
6v=−30
Divide both sides by 6.
6v /6 = −30 /6
v=−5
When solving a system of equations of A and B, we get no solution. When solving B and C, the solution is (0,3). When solving A and D, the solution is the origin. When solving B and D, the solution is (-1.5, 1.5). What is the solution when solving A and C? What are the equations of all the lines?
Answer:
You know that when solving B and c it is 0,3 and you know that when solving A and D the solution is the origin. Also when solving b and d it is -1.5,15 so D equals 1.5 and A equal the origin so solve from their
Step-by-step explanation:
please help!!! i really need this ill give 25 points!!
is x = 3/y a linear function
Answer:
No, it is not.
Step-by-step explanation:
I mapped the equation with a graphing calculator. It is not linear.
Pls mark brainliest. Thanks!
Please help I want to snap my laptop in half trying to do this if anyone could help that would be great thanks
Answer:
can I have ur snap?
Step-by-step explanation:
Help me pls....
Find the distance on the map, in cm, which represents an actual distance of 14.4 km
Answer:
14.4 km = 1440000
Step-by-step explanation:
1 km = 1000m
14.4 km = 1000 ×14.4
=14400 m
1 m =100 cm
14400 m = 100 × 14400
= 1440000 cm
What is the x-value of the solution to the system of
equations: y = -x + 1 and y = 2x - 8 ? Just write the number
for your answer.
Answer:
x=3
Step-by-step explanation:
Solve & Graph the inequality
Solve:
2x – 3 > 2 + 10
Answer:
x>15/2
Step-by-step explanation:
2x-3>12
2x>12+3
2x>15
graph is at positie 7.5 open circle to 10 going right
Determine the domain and range and whether
the relation is a function:
{(1,2) (3,3) (4,1) (6,2) }
20 points for 2 questions answered, math - plz n thx
What is the third term in this sequence?
Answer:
c
Step-by-step explanation:
PLEASE HELP QUICK!!!!! FIND THD SLOPE
Answer:
slope = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Calculate slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (3, 1) ← 2 points on the line
m = [tex]\frac{1-0}{3-0}[/tex] = [tex]\frac{1}{3}[/tex]
The equation of the line graphed below is
. Do not include spaces in your answer.
Are 4(x+y equal to 4y+4x
what's the answer to this ?
Answer:
3/41
Step-by-step explanation:
20+18+3=41 the proportional
So the arrow is in between x and 3
Which is x=3
Therefore x=3/41
Find the values of x and y. Pls helpI’m helpless at math
Answer:
x = 1 [tex]y=\frac{\sqrt{3}}{2}[/tex]Step-by-step explanation:
From the given right-angle triangle
The angle = ∠60°
The adjacent to the angle ∠60° is 1/2. The opposite to the angle ∠60° is y.The hypotenuse = x
Determining the value of x:
Using the trigonometric ratio
cos 60° = adjacent / hypotenuse
substituting adjacent = 1/2 and hypotenuse = x
[tex]cos\:60^{\circ }=\:\:\frac{\frac{1}{2}}{x}[/tex]
[tex]\cos \left(60^{\circ \:}\right)=\frac{1}{2x}[/tex]
[tex]\frac{1}{2}=\frac{1}{2x}[/tex] ∵ cos (60°) = 1/2
[tex]2x=2[/tex]
Dividing both sides by 2
[tex]\frac{2x}{2}=\frac{2}{2}[/tex]
Simplify
[tex]x=1[/tex]
Thus, the value of hypotenuse x is:
x = 1
Determining the value of y:
Using the trigonometric ratio
sin 60° = opposite / hypotenuse
As we have already determined the value of hypotenuse x = 1
substituting opposite = y and hypotenuse = 1
sin 60° = y/1
y = 1 × sin 60°
[tex]y=\frac{\sqrt{3}}{2}[/tex] ∵ [tex]\sin \left(60^{\circ \:}\right)=\frac{\sqrt{3}}{2}[/tex]
Therefore, the value of y is:
[tex]y=\frac{\sqrt{3}}{2}[/tex]
Summary:
x = 1 [tex]y=\frac{\sqrt{3}}{2}[/tex]Please answer this question for 100 points
Answer:
Ratios are proportional if both serve the identical tie. A method to detect if a pair of ratios remain equivalent is to rewrite them being fractions, then decrease them. If the decreased fractions are equal, the ratios are comparative.
Step-by-step explanation:
Answer:
still need help?
Step-by-step explanation:
What number is missing from the table of equivalent ratios?
A. 2
B. 5
C. 7
D. 13
Answer:
Step-by-step explanation:
The answer would be 5 because 14/7=2 and 6/3=2 and 10/ 2 =5 so 5
