Answer:
Sally is not right
Step-by-step explanation:
Given the two sequences which have their respective [tex]n^{th}[/tex] terms as following:
Sequence A. [tex]3n - 2[/tex]
Sequence B. [tex]10 - 2n[/tex]
As per Sally, there exists only one number which is in both the sequences.
To find:
Whether Sally is correct or not.
Solution:
For Sally to be correct, we need to put the [tex]n^{th}[/tex] terms of the respective sequences as equal and let us verify that.
[tex]3n-2=10-2n\\\Rightarrow 3n+2n=10+2\\\Rightarrow 5n=12\\\Rightarrow n = \dfrac{12}{5}[/tex]
When we talk about [tex]n^{th}[/tex] terms, [tex]n[/tex] here is a whole number not a fractional number.
But as per the statement as stated by Sally [tex]n[/tex] is a fractional number, only then the two sequences can have a number which is in the both sequences.
Therefore, no number can be in both the sequences A and B.
Hence, Sally is not right.
The measure of the vertex angle of an isosceles triangle is 20 less than twice the measure of each base angle. Find the measure of the vertex angle
Answer:
80
Step-by-step explanation:
Remark
Every triangle has a measure of 180 degrees.
Equation
Let the base angle = x
x + x + 2x-20 = 180
Solution
4x - 20 = 180
4x = 180 + 20
4x = 200
x = 50
Conclusion
Base angle 1 = 50
Base angle 2 = 50
Vertex angle = 2*50 - 20
Vertex angle = 100 - 20
Vertex angle = 80
Please help me out!!!!!!!
Answer:
Is a 0
Step-by-step explanation:
what is 5 1/3 - 3 5/6 I keep getting the wrong answer and I need the answer as a fraction
Answer:
3/2
Step-by-step explanation:
If you wanted whole number, it would be 1 1/2, but you said as a fraction, so that would be 3/2
Lucia is making a 21.6 centimeter beaded string to hang in the window. She decides to put a green bead every 0.4 centimeters and a purple bead every 0.6 centimeters. How many green beads will she need?
Answer: 54 green beads
Step-by-step explanation:
From the question, we are informed that Lucia is making a 21.6 centimeter beaded string to hang in the window and that she decides to put a green bead every 0.4 centimeters and a purple bead every 0.6 centimeters.
The number of green beads that she will need will be gotten by dividing the total length of bead she wants to make by 0.4. This will be:
= 21.6 / 0.4
= 54 green beads
Jody has 3 red marbles, 7 blue marbles, and 9 yellow marbles. What is the ratio of red marbles to blue marbles? A. 3:19 B. 3:7 C. 7:3 D. 19:3
Answer:
B. 3:7
Step-by-step explanation:
hope it helps u :)
Answer:
well for me I think
Step-by-step explanation:
it's 3:7
hope it's helpful
brainliest for correct answer A triangle has interior angle measures 28 and 32, please find the 3rd interior angle and two exterior angles.
Answer:
120
Step-by-step explanation:
All the angles should add up to equal 180 so,
28 + 32 + ? = 180
60 + ? = 180
180 - 60 = 120
Dose y = 7.2x represent a proportional relationship, if so identify the constant of proportionality. If not, explain why not.
Answer:
Yes it does
The constant of proportionality is 7.2
Step-by-step explanation:
Here, we are to determine if the expression represents a proportionality relationship
From the question, we can see that this is so
If we placed x beneath y, we will have
y/x = 7.2
So therefore the ratio between the two is 7.2 and thus, the equation represents a proportional relationship
2x + 28 = 40 and and 2(x + 14) = 40 have different solution steps. Do they have the same solution? Use the distributive property to show why this answer makes sense.
Answer:
yes they are the same
Step-by-step explanation:
2x + 28 =40
you subtract 28 from both sides
2x + 28 - 28 = 40 - 28
2x=12
divide 12 by 2 and get 6
2(6)=12
2(x + 14)= 40
So, 2(x) + 2(14)
2x + 28 = 40
So they're both the same, just with 2 different ways to solve the same equation...Hope this helps!!
The solution for 2x + 28 = 40 is 6.
The solution for 2(x + 14) = 40 is 6.
Yes, they have the same solution.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We have,
2x + 28 = 40
Solve for x.
2x = 40 - 28
2x = 12
x = 6
2(x + 14) = 40
Solve for x.
2x + 28 = 40
2x = 40 - 28
2x = 12
x = 6
Thus,
The solution for both equations is the same.
Learn more about solutions to equations here:
https://brainly.com/question/545403
#SPJ2
14) When f(x) = x + 3 is transformed to g(x) = f(x) -1, what will be the new
equation?
15) Given: g(x) = f(x) + 5. What is g(x) when f(x) = x - 2?
Step-by-step explanation:
14) g(x)= x + 3 - 1
= x + 2
15) g(x)= x - 2 + 5
= x + 3
Please Help me!!
I need this ASAP!!
Answer:
Step-by-step explanation:
let smaller be x
larger number is x+5
4x-3(x+5)=29
4x-3x-15=29
x=29+15=44
x=44
larger number is 49
g(x)=−4x+5, find g(5)g(5).
Answer:
— g(5)=18
Step-by-step explanation:
x=5 into g(x). g(5)=(4×5)−2=20−2=18.
Traduisez l’énoncé suivant en utilisant le symbole d’inégalité approprié.
1) x dépasse 8 ? : _____
Answer:
Je ne parle pas francais
Step-by-step explanation:
Pardon
I still can't afford to fail this semester. The question is in the picture
Answer:
y=1/3x+7/3
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept
m=(y2-y1)/(x2-x1)
m=(3-1)/(2-(-4))
m=2/(2+4)
m=2/6
simplify
m=1/3
y=1/3x+b
y-y1=m(x-x1)
y-1=1/3(x-(-4))
y-1=1/3(x+4)
y-1=1/3x+4/3
y=1/3x+4/3+1
y=1/3x+4/3+3/3
y=1/3x+7/3
A truck travels 2,400 miles in 60 hours going the same distance each hour. How many miles does the truck travel each hour?
Answer:
The truck travels 40 miles per hour.
Step-by-step explanation:
[tex] \frac{2400 \: miles}{60 \: hours} = \frac{x}{1 \: hour} \\ \\ \frac{60x}{60} = \frac{2400}{60} \\ \\ x = 40[/tex]
a school population of 1200 increases by 6% per year what will the population be after 4 years
Answer:
Step-by-step explanation:
1200x6%(.06)=72
72x4=288
1200+288=1488
1200+72=1272+72=1344+72=1416+72=1488
Myra can spend no more than $150 on office supplies. Paper costs $2.50 a pack and shipping is $10.
Use x to represent paper, write an inequality to model the situation
Answer:
150[tex]\geq[/tex] 2.50x + 10
Step-by-step explanation:
It's 10 dollars for shipping. Then it is 2.50 times the amount of paper she chooses to by but it cannot be more 150.
Find the reference angle of 155o. –25o 25o –65o 65o
Answer:
The reference angle for 155° is 25°
Step-by-step explanation:
The reference angle is the angle that the angle arm makes with the x-axis be it clock wise or anti-clock wise.
The reference angles are obtained by the following reference
0 - 90° => Angle
90° - 180° => 180 - angle
Our given angle is: 155° so we will use the second rule
The reference angle will be:
180° - 155° = 25°
Hence,
The reference angle for 155° is 25°
12
4
What is the value of x?
O 3/8
O 1
O
8/3
C
8
Answer:
the value of x is 48
Step-by-step explanation:
because if x=12 and y=4 than you have to do this:
-) (x+y) x/y
(12+4) times 12/4
4/6 times 2/41
than it equals 48
this took me so long ;-;
Please help and you will get brainliest!!
PLZ HELPI DON'T UNDERSTAND THIS ONE.
Sylvia runs a company that produces clothing accessories—hats, patches, scarves, etc.—for events such as a Presidential inauguration. To produce each item costs her $1. She also pays an initial startup cost for production of $100, regardless of the number of products that she produces. She plans to sell each product for $5. How much money would the cost be to produce fifty products? What is Sylvia’s income if she sells fifty products?
Answer:
250 dollars
Step-by-step explanation:
5x50
Answer:
$50 to produce each and $150 would be her income
Step-by-step explanation:
can anyone help me answer this?!?!
Answer:
if ∠PQR ≅ ∠STU, then ∠STU ≅ ∠PQR
We conclude that 'Symmetric Property of Angle Congruence' illustrates this statement.
Step-by-step explanation:
We know that the Symmetric Property of Angle Congruence can be defined as
For any angles X and Y, if ∠X≅∠Y , then ∠Y≅∠XFor example, Let suppose
m∠X = 20m∠Y = 20As ∠X≅∠Y i.e. 20 ≅ 20
then
∠Y≅∠X i.e. 20 ≅ 20
Given
if ∠PQR ≅ ∠STU, then ∠STU ≅ ∠PQR
Thus, we conclude from the above discussion that 'Symmetric Property of Angle Congruence' illustrates this statement.
jeremy ran 4 more miles then twice of kate, k, ran. which expression can be used to represent the situation
Answer:
2k+4
Step-by-step explanation:
Jeremy ran
2k+4
Jeremy ran 4 more miles than twice of Kate.
Given, distance covered by Kate = k
Let distance covered by Jeremy = x
According to Question :
Distance covered by Jeremy = 4 + 2 × distance covered by Kate
Hence, x = 4 + 2k
Therefore, expression used to represent situation is :
x = 4 + 2k**DUE IN LIKE 10 MINUTES PLEASE HELP!**
Mary bought 6 bracelets that cost the same amount and one necklace which cost $86. The items she bought totaled $254 before sales tax was added. What was the cost of each bracelet?
A) $14
B) $56
C) $42
D) $28
1 necklace will therefore cost 34/4 = $8.5
Step-by-step explanation:
She spent between $39 and $59. let us find the average of the amount she spent = 39+59 / 2 = $49.
At an average, she spent $49.
The price of a bracelet is $5 and each bracelet costs the same amount and she bought 3 bracelets = $5 x 3 bracelets each = $15... She spent $15 on the bracelets.
Thus $49 - $15 = amount spent on the 4 necklaces = $34.
4 necklaces cost $34, 1 necklace will therefore cost 34/4 = $8.5
Answer:
Step-by-step explanation:
6x+86=254
subtract 86 from both sides 6x=168
divide both sides by 6 x=28
Max built a rectangular Prism and a rectangular Pyramid using beach sand. The prism and the pyramid have the same base area and the same height. The amount of sand Max used to build the Prism is how many times the amount used to build the Pyramid?
Answer:
Three times
Step-by-step explanation:
Given
Figures: Rectangular Prism and Rectangular Pyramid
Let the dimension of the prism be:
[tex]l = length[/tex]
[tex]w = width[/tex]
[tex]h = height[/tex]
Amount of sand used is the volume (V1) and it is calculated using;
[tex]V_1 = l * w * h[/tex]
[tex]V_1 = lw h[/tex]
Since the pyramid has the same base area and height as the prism, the its dimension would be:
[tex]l = length[/tex]
[tex]w = width[/tex]
[tex]h = height[/tex]
Amount of sand used is the volume (V2) and it is calculated using;
[tex]V_2 = \frac{1}{3}*(lwh)[/tex]
So, we have:
[tex]V_1 = lw h[/tex]
[tex]V_2 = \frac{1}{3}*(lwh)[/tex]
Substitute lwh for V1 in the second equation
[tex]V_2 = \frac{1}{3}V_1[/tex]
Multiply both sides by 3
[tex]3 * V_2 = \frac{1}{3}V_1 * 3[/tex]
[tex]3 * V_2 = V_1[/tex]
Reorder
[tex]V_1 = 3 * V_2[/tex]
[tex]V_1 = 3 V_2[/tex]
Hence, the amount of sand used in building the prism is three times the amount of sand used in building the pyramid
Write the simplest polynomial function for each set of zeros
Zeros = 2,-2, 4, 1
PLEASEEEEE HELPPPPPPPPPP
9514 1404 393
Answer:
p(x) = x^4 -5x^3 +20x -16
Step-by-step explanation:
If 'a' is a zero of the polynomial, then (x -a) will be a factor. For the given zeros, the simplest polynomial will be the product of the corresponding factors:
p(x) = (x -2)(x +2)(x -4)(x -1) . . . . . . note that x -(-2) = x +2 (factored form)
__
Multiplying these out gives the result in standard form.
The product of the first two factors is a "special product" recognizable as the difference of two squares.
(x -2)(x +2) = x^2 -2^2 = x^2 -4
The product of the last two factors can be found in the usual way. The distributive property applies.
(x -4)(x -1) = x(x -1) -4(x -1)
= x^2 -x -4x +4 = x^2 -5x +4
Then the full polynomial is the product of these partial products:
p(x) = (x^2 -4)(x^2 -5x +4)
= x^2(x^2 -5x +4) -4(x^2 -5x +4)
= x^4 -5x^3 +4x^2 -4x^2 +20x -16
p(x) = x^4 -5x^3 +20x -16 . . . . . . . . standard form
Suppose 3 is a root of the quadratic equation ax² – 2x – 21 = 0. Find the value of a and hence find the other
root of the equation.
Answer:
a = 3
the other root = -7/3
(6a+42)+(8a+72)=?
.
.
Answer:
14a+114
Step-by-step explanation:
Answer:
14a+114
Step-by-step explanation:
Since everything is addition you can ignore the parenthesis. So you have 6a+42+8a+72. Now you add the like terms, (6a+8a)+(42+72)=14a+114. Which is your answer!
Kara’s bedroom is in the shape of a rectangle. The perimeter of her room is 50 feet. The width of her room is 12 feet. What is the length of Kara’s room?
A
13 feet
B
25 feet
C
26 feet
D
38 feet
Answer:
25 feet my guy and u deserve a meme scroll down for it
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
A box of 14 raisins cost $2.94 while a box of 12 sunflower seed bags cost $2.40.
Which one is the better deal, based on the unit price?
Answer:
the sunflower seeds are a better deal when comparing unit price. The real question is why are we comparing raisins to sunflower seeds?
Step-by-step explanation:
14 raisins costs $2.94
This is $0.21 per raisin.
12 sunflower seed bags costs $2.40
That's $0.20 per bag.
CAN SOMEONE HELP WITH THIS ASAP
Answer:
When x=1/2, y=28/3
when x =0, y=9
Equation is y=2/3 x + 9
Step-by-step explanation:
First lets convert them to fractions to make it easier. Also put them in order.
X Y
0
1/2
3/4 19/2
1 29/3
6/5 49/5
You can find the slope since we know 2 points.
(3/4, 19/2) and (6/5, 49/5)
m=3/10 / 9/20
m=2/3
y=2/3 x + b
Lets plug in x and y points to find the y-int
19/2=2/3(3/4) + b
b=9
Therefore y=2/3 x + 9
When x=1/2, y=28/3
when x =0, y=9