Answer:
1 2/3
Step-by-step explanation:
1 and 2/3
If the nth term of an AP is (7-4n) then its common difference is
Given nth term of an AP = 7-4n
Put n = 1 then t1 = 7-4(1) = 7-4 = 3
Put n = 2 then t2 =7-4(2) = 7-8 = -1
Common difference = t2-t1 = -1-3 = -4
plz helppppppppppopppppp
The sum of two angles is 90°. The difference of twice the larger angle and the smaller angle is 105º. The system of linear equations:
x + y = 90
2x - y = 105
represents this situation where x is the larger angle and y is the smaller angle. Find the measures of the two angles.
SHOW YOUR WORK!!
(this is linear combinations)
Answer:
x = 65, y = 25Step-by-step explanation:
Given system of linear equations:
x + y = 90 2x - y = 105Add up the equations to eliminate y:
x + 2x = 90 + 1053x = 195x = 65Find y:
y + 65 = 90y = 90 - 65y = 25A store is having a sale on trail mix and jelly beans. For 5 pounds of trail mix and 3 pounds of jelly beans, the total cost is $17. For 2 pounds of trail mix and 12 pounds of jelly beans, the total cost is $23. Find the cost for each pound of trail mix and each pound of jelly beans.
Answer:
Trail Mix costs $2.50 per pound, and Jelly Beans cost $1.50 per pound.
Step-by-step explanation:
Using x for trail mix and y for jelly beans, we have a system of equations being
[tex]\left \{ {{5x+3y=17} \atop {2x+12y=23}} \right.[/tex]
We can solve this system using substitution
5x+3y=17
Divide by 5 to have a coefficient of 1 before x
[tex]x+\frac{3}{5} y=\frac{17}{5}[/tex]
Subtract [tex]\frac{3}{5} y[/tex] from each side to single out one variable to one side
[tex]x=\frac{17}{5} -\frac{3}{5} y[/tex]
Now, we can plug in our value for x into the given equation
[tex]2(\frac{17}{5} -\frac{3}{5} y)+12y=23[/tex]
Open the parentheses
[tex]\frac{34}{5} -1\frac{1}{5} y+12y=23[/tex]
Merge Y values
[tex]6.8+10.8y=23[/tex]
Separate numerical values from variables
[tex]10.8y=16.2[/tex]
Divide by 10.8 in order to have a coefficient of 1
[tex]y=1.5[/tex]
Now that we have one of the values, we know that a pound of jelly beans costs $1.50. We can now plug in 1.5 for y into one of our equations to find x.
[tex]5x+3(1.5)=17[/tex]
Open parentheses
[tex]5x+4.5=17[/tex]
Single out the variable
[tex]5x=12.5[/tex]
Divide by 5 to have a coefficient of 1 before x
[tex]x=2.5[/tex]
[tex]y=1.5[/tex]
You buy 3.9 pounds of trail mix. The mix
costs $2.78 per pound. What is the total
price for the trail mix?
Answer:
Answer:
28+66+86=180
180=180
Step-by-step explanation:
Since there is a triangle and the 3 measures from the angles we can find the value of x using the hint given that the sum of the interior angles must be 180°
Write the equation
\begin{gathered}x+(2x+10)+(3x+2)=180\\\end{gathered}
x+(2x+10)+(3x+2)=180
Simplify left side of the equation
\begin{gathered}6x+12=180\\\end{gathered}
6x+12=180
Solve equation for x
\begin{gathered}6x=180-12\\6x=168\\x=28\end{gathered}
6x=180−12
6x=168
x=28
Replace x into the 3 angles and find their respectives values
\begin{gathered}A=x\\A=28\\\\B=2x+10\\B=2*28+10\\B=56+10\\B=66\\\\C=3x+2\\C=84+2\\C=86\end{gathered}
A=x
A=28
B=2x+10
B=2∗28+10
B=56+10
B=66
C=3x+2
C=84+2
C=86
Check if the answers are correct
\begin{gathered}28+66+86=180\\180=180\end{gathered}
28+66+86=180
180=180
PLEASE MARK ME AS BRAINLIEST
A deposit of $1000 is made in an account that earns 8% interest compounded quarterly. The balance in the account after n quarters is given by the following sequence. Find the balance in the account after ten years.
a
=100.000)
n=1,2,3
The balance after ten years.
The balance after ten years is $2,208.04.
When an amount of money is compounded quarterly, it means that the amount deposited and the interest earns interest every quarter. The formula that can be used to determine the balance in 10 years is:
FV = P (1 + r)^nm
FV = Future value P = Present value = $1000 R = interest rate = 8%/4 = 2% m = number of compounding = 4 N = number of years = 10$1000 x (1.02)^40 = $2,208.04
To learn more about future value, please check: https://brainly.com/question/18760477
rico wants to buy a battery operated toy car which caused 580 7.50 he has already save one 50.00 points his ninong give him 200 point zero zero if he saved 12.50 a day from his allowance how long will it take him to save the rest of money to buy the toy car
Answer:
19 days
Step-by-step explanation:
1 - Make an equation with the variables provided.
150 + 200 + 12.50x = 587.50
2 - Simplify both sides.
350 + 12.50x = 587.50
3 - Subtract 350 from both sides.
12.50x = 237.50
4 - Divide by 12.50 to find your x variable.
x = 19 days
Brainliest would be appreaciated! :-)
How many sixes are equal to double 27?
Answer:
its not sixes theres 4 sixes equal 24 so there is no answer
Step-by-step explanation:
can i have brainliest pls
Answer:
9
Step-by-step explanation:
Double 27 is 54. 6 times 9 is 54
16/48 times 6/8 solve it out for me please
Answer:
0.25
Step-by-step explanation:
You, can just use a calculator But Np
Good luck
Answer: 1/4
Step-by-step explanation:
16 6 96
_ X _ = _ = simplies down to 1/4
48 8 384
13*100 i am tired rn
Answer: 1300
Step-by-step explanation:
13*10 = 130*10=1300
Answer:
1300
Step-by-step explanation:
same bro I getting paid from doing people homework
Which expression is equivalent to 8.2 + 14 + 9x – 5?
A. 260
B. 362
C. 172 +9
D. 170 +19. HELPPPPP
Answer:
C
Step-by-step explanation:
i need a points point muna
Hue is arranging chairs. She can form 2 rows of a given length with 6 chairs left over, or 8 rows of that same length if she gets 12 more chairs. Complete the equation and solve it to find how many chairs are in that row length. In your equation, use the variable x to represent the number of chairs in each row.
Answer:
I am stuck on the same question please comment if someone answers
Answer:
3
Step-by-step explanation:
Okay so 18 chairs were used more for 6 more rows so each row has 3 length.
x = 3
Now this makes no sense, because I don't know why you would leave 6 chairs if you only have 3 chairs for each row but....(Hue is weird so let's not question him)
Anyways mathematically
first arrangement = 2x + 6
second arrangement = 8x - 12
2x + 6 = 8x - 12
6x = 18
x = 3
Help with this polynomial problem.
Answer:
i cannt see it
Step-by-step explanation:
Help help help help help help help math
Answer:
Angle 6
Step-by-step explanation:
They are both the same angle size
Answer:
Angle 1
Step-by-step explanation:
Refer to the attached picture
A soccer club had 45 players. In a recent push to create more teams, they had a recruiting event. After the event the club had 71 players. Write an equation and solve for the number of players the club gained with the recruiting event.
Answer:
45+x = 71
26 players were added
Step-by-step explanation:
We start with 45 players
We ended with 71 players
We added x players
45+x = 71
Subtract 45 from each side
45+x-45 = 71-45
x =26
We added 26 players
ATQ
[tex]\\ \sf{:}\dashrightarrow x+45=71[/tex]
[tex]\\ \sf{:}\dashrightarrow x=71-45[/tex]
[tex]\\ \sf{:}\dashrightarrow x=26[/tex]
A police car drives 144 km in 240 minutes. what is its average speed in kilometers per hour?
1/3x+80=1/2x+120 what’s the answer??
Answer:
−240
1/3x+80=1/2x+120
8. Which of the following are equivalent expressions?
a) x2, -X2, -(x2)
b) 3x - 7, (3x) - 7, 3(x - 7)
c) -2x + 8, -(2x + 8), -(2x - 8)
+
Answer:
a) -x2 , -(x2)
b)3x-7 , (3x) - 7
c) -2x+8 , -(2x-8)
Question is in image
Which best explains if qudrillateral WXYZ can be a parallelogram?
Answer:
A
Step-by-step explanation:
If the figure is to be a parallelogram, opposite sides must be the same length. This requires ...
15 = x +8 ⇒ x = 7 . . . . long sides equal length
and ...
x +2 = 2x -5 . . . . . short sides equal length
7 = x . . . . . . . . . . add 5-x
The value x=7 will make opposite long sides have lengths 15 mm and opposite short sides have lengths 9 mm.
Figure WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 9 mm.
If16 = x/20, then x=
Answer:
320
Step-by-step explanation:
16 × 20 = 320
To double check it, we insert 320 into the equation:
320 ÷ 20 = 16
Which of the following numbers is proportional to 84/108?
1. 86/110
2.98/126
3.64/72
4.91/104
Proportional numbers are numbers with the same equivalent ratio
98/126 is proportional to 84/108
The number is given as:
[tex]Number = \frac{84}{108}[/tex]
Reduce fraction to the lowest term
[tex]Number = \frac{7}{9}[/tex]
Reduce 86/110 to the lowest term
[tex]Number = \frac{86}{110}[/tex]
Divide by 2/2
[tex]Number = \frac{43}{55}[/tex]
43/55 is not equivalent to 7/9
Reduce 98/126 to the lowest term
[tex]Number = \frac{98}{126}[/tex]
Divide by 14/14
[tex]Number = \frac{7}{9}[/tex]
7/9 is equivalent to 7/9.
Hence, 98/126 is proportional to 84/108
Read more about proportional numbers at:
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someone said it is D CAN SOMEONE TELL ME THE RIGHT ONE
Find the equation of the linear function represented by the table below in slope-
intercept form.
X
у
-3
-1
1
3
5
7.
9
11
Answer:
Step-by-step explanation:
There are multiple ways to do this, but I'll go with the first one I learned and the simplest.
So the standard equation for linear functions is y=kx+b, right? Take two groups of (x,y) and plug them in.
Eg. (Taking (-3,-1) and (1,3)) -1=-3k+b and 3=k+b
By solving the above system, you get k=1, b=2. Put those into the standard equation and you get y=x+2, which is your answer.
Consider the equation of a circle x^{2} -2x + y^{2} - 4y - 4 = 0 if the line 2x - y + a = 0 is its diameter. then find the value of a?
Answer:
Step-by-step explanation:
Find the centre first by reoriganisation it into the form (x - cx)^2 + (y -cy)^2 = r^2
x^2 + y^2 + 6x -6y +5 = 0
(x + 3)^2 - 9 + (y - 3)^2 - 9 + 5 = 0
(x + 3)^2 + (y - 3)^2 = 13
The radius does not matter the centre is ( -3, +3)
The diameter must pass through the center so substituting into the equation for the line
2x-y+a = 0
-6 -3 + a = 0 so a = 9
The value of 'a' is 0 and this can be determined by using the standard form of the equation of a circle.
Given :
Equation of a Circle -- [tex]x^2-2x+y^2-4y-4=0[/tex]
Equation of a Line -- 2x - y + a = 0
The following steps can be used in order to determine the value of 'a':
Step 1 - First make the equation of a circle in standard form.
[tex]x^2-2x+y^2-4y-4=0[/tex]
[tex](x-1)^2-1+(y-2)^2-4-4=0[/tex]
[tex](x-1)^2+(y-2)^2 = 3^2[/tex]
Step 2 - From the above step, it can be concluded that the center of the circle is (1,2).
Step 3 - If (1,2) is the center of the circle then it also satisfies the equation of diameter (2x - y + a = 0).
2x - y + a = 0
2(1) - 2 + a = 0
a = 0
For more information, refer to the link given below:
https://brainly.com/question/23528207
8 x 10*-3
is how many times as great as 4 x 10*-6?
2 x10*3
2 x 10 *9
2 x 10 *-9
2 x 10-*_•-3
Answer:
[tex]\huge\boxed{2\times10^3}[/tex]
Step-by-step explanation:
[tex](8\times10^{-3})\div(4\times10^{-6})=\dfrac{8\times10^{-3}}{4\times10^{-6}}=\dfrac{8}{4}\times10^{-3-(-6)}=2\times10^{-3+6}=2\times10^3[/tex]
Used:
[tex]\dfrac{a^n}{a^m}=a^{n-m}\ \text{for}\ a\neq0[/tex]
1/3(6-9j)
PLEASE HELP!!!
Answer:
2-3j
Step-by-step explanation:
Distribute 1/3 to the rest of the equation and you'll get 2-3j
I hope this helps!
Select all that apply.
Zack is taking a test in which he answers questions at a rate of question per minute. If Q represents questions and
M represents minutes, which of the following equations describe this rate relationship?
M= 20 x Q
Q = 2 x M
M=1/2 x Q
Q=1/2 x M
The equation Q = 2 x M represents the relationship between question and time.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Given that,
Zack takes a test, in which he answers at rate of 2 question per minute.
Also, Q represents questions
And M represents minutes.
According to given condition,
In 1 minute, Zack answers 2 question,
In M minutes, Zack answers 2 x M question,
Total questions presented by Q,
Q = 2 x M.
The required relationship for M and Q is Q = 2 x M.
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Problem Guitars Galore
Johnny Inneger saved $100 to buy a guitar. Then he bought one for $80. Johnny lost patience learning to play it and decided to sell it to his friend Michael Michael had also saved $100 Michael really wanted the guitar, so he paid Johnny $90 for it. After johnny saw his favorite guitar player in a concert, he wanted to buy back the guitar. He bought it back from Michael for $95. Now Michael has offered Johnny 585 for the guitar. Johnny is deciding whether he will accept the offer. if he does will he have lost any money on the guitar? If so, how much?
order of operations : simplify completely (6-2X2)X3
Answer:
6 is the answer.
Step-by-step explanation:
Using PEMDAS, let's solve.
(6 - 2 x 2) x 3(6 - 4) x 32 x 36Therefore, 6 is the answer.
Hoped this helped.
Help help help math math
Answer:
Yes, it is a function
Step-by-step explanation:
A function is determined if each input, or x-value has 1 unique output, or y value. No x-value has more than 1 output here, so it is a function