The graph that represents Margo's coin collection is:
Graph of line going through (1, 4) and (3, 10).
Step-by-step explanation:It is given that:
She was given 1 coin as a gift, and she adds 3 coins per year.
Let a_n denote the amount of Money Margo had in the end of the "nth" year.
According to the given information we have:
[tex]a_1=1+3=4[/tex]
[tex]a_2=4+3=7\\\\a_2=a_1+3[/tex]
[tex]a_3=10\\\\a_3=a_2+3\\\\\\a_3=a_1+3\times 2[/tex]
and so on.
Hence, we get:
[tex]a_n=a_1+3(n-1)[/tex]
Hence, we get a Arithmetic progression.
with first term as 4 and common difference as 3.
Hence, the graph is:
Graph of line going through (1, 4) and (3, 10).
( Since at n=1 we have: [tex]a_n=4[/tex]
and at n=3 we have: [tex]a_3=10[/tex] )
Three times the sum of a number and 2 is the same as the number minus 4
Answer:
3* ( n+2) = n-4
n=-5
Step-by-step explanation:
Three times the sum of a number and 2 is the same as the number minus 4
3* ( n+2) = n-4
Distribute
3n +6 = n-4
Subtract n from each side.
3n-n +6 =n-n-4
2n +6 = -4
Subtract 6 from each side.
2n +6-6 = -4-6
2n = -10
Divide by 2 on each side.
2n/2 = -10/2
n = -5
If you roll 2 dice, what is the probability that the sum is 9?
thanks :) will give brainliest!
Answer:
0.1111%
Step-by-step explanation:
2 dice, each with 6 sides. 36 possible outcomes.
Possible sums for 9 are 1,8 2,7 3,6 4,5
That means there is only 4 possible ways to get 9 out of 36 possible outcomes. 4/36 is your probability
Ashley is the utilities manager at a paper mill. She's watching over one of her holding tanks. It takes of an hour to fill the tank. At this rate, how many holding tanks will she fill in 1 hour?
Answer: 5/8
Step-by-step explanation:
I do not get this. Evaluate.
Simplify your answer as much as possible.
3!6!/5!2!
Answer:
18
Step-by-step explanation:
[tex]\frac{3!6!}{5!2!}[/tex]
n! = n * (n-1)!
For example 7! can be written as 7 * 6!
3! is 3* 2!
6! is 6 * 5!
[tex]\frac{3!6!}{5!2!}[/tex]
[tex]\frac{3*2!6*5!}{5!2!}[/tex]
Cancel out 5! from the top and bottom . Also cancel out 2! from top and bottom.
[tex]\frac{3*2!6*5!}{5!2!}[/tex]
3*6= 18
Can I please get someone who is good at Geometry to help me? PLEASE AND THANK YOU!!!! (You just have to do problem A. Thanks again)
Answer:
x=6
Step-by-step explanation:
We can find < PMN by using the law of triangles.
The sum of the angles of a triangle adds to 180
<M + <N + < PMN = 180
32 + 64+ < PMN = 180
96 + < PMN = 180
Subtract 96 from each side
96 -96 < PMN = 180-96
< PMN =84
<PMN + <NPQ forms a straight line so it equals 180
<PMN + <NPQ=180
84 + <NPQ=180
Subtract 84 from each side
84-84 + <NPQ=180-84
<NPQ=96
<NPQ = 6x
96 = 6x
Divide each side by 6
96/6 = 6x/6
16 =x
how do the graphs of the function f(x)=(3/2)x and g(x)=(2/3)x compare
Answer:
f is a line through 0 and (2,3)
g is a line through 0 and (3,2)
Step-by-step explanation:
f and g are proportional linear functions. They each have the form y=mx+b where b=0 and m is a fraction. The m or slope tell us the form the function takes on the graph. It is a straight line through 0 with steepness m.
[tex]f(x)=\frac{3}{2} x[/tex] has steepness 3/2. Starting at (0,0) or the origin, move up three grid lines on the y-axis and then over 2 grid lines. Mark your point at (2,3). Then connect and draw arrows on the end.
[tex]g(x)=\frac{2}{3}x[/tex] has steepness 2/3. Starting at (0,0) or the origin, move up two grid lines on the y-axis and over 3 grid lines. Mark your point at (3,2). Then connect and draw he arrows on the end.
Answer:
The graphs are reflections of each other over the y-axis. The graph of g(x) shows exponential decay, while the graph of f(x) shows exponential growth.
Step-by-step explanation:
A shopper wants to ensure he has enough cash to purchase a $59 coffee table, so he asks a clerk what the total will be with the sales tax included. The clerk tells him the total will be $61.36. What is the sales tax percentage?
Answer:
Step-by-step explanation:
First you have to subtract 59$ from 61.36 which will give you 2.36.Then you have to multiply 0.02 to 59 which equals 1.18.Then you multiply 0.04 by 59 which will give you the answer.Hope this helps!!!Your answer should be 0.04!!!Please Mark brainliest!!!!!
To find out the sales tax percentage, first find the amount paid in taxes by subtracting the original price from the total price. Then divide this tax amount by the original price and multiply by 100 to get the percentage, which is 4% in this case.
Explanation:To determine the sales tax percentage charged on the coffee table, we first calculate the total amount of sales tax paid. We subtract the original price of the table ($59) from the total amount paid with tax ($61.36) to find the amount of tax paid.
$61.36 - $59.00 = $2.36
Now, we'll convert the sales tax into a percentage of the original price. We do this by dividing the sales tax amount by the original price and then multiplying by 100 to get the percentage.
$2.36 ÷ $59 = 0.04 (rounded to two decimal places)
0.04 × 100 = 4%
Therefore, the sales tax percentage on the coffee table is 4%.
Learn more about Sales Tax Calculation here:https://brainly.com/question/18375545
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Plz I need by tonight
Answer: Yes
Step-by-step explanation: 4x5 is 20 + 2 is 22 then when you multiply that by 9 you get 198
36x5 is 180 + 18 is 198
Both answers equal each other
Which tables represent constant functions?
A function is a law that tells you how to associate inputs (x values) and outputs (y values).
In the case of constant functions, it doesn't matter which input you choose, the ouput must always be the same.
So, a constant function has always the same output (y values) for every input (x values) you feed.
Answer:
Third and last choices represent constant functions.Step-by-step explanation:
A constant function refers to those functions that only have one variable, which is constant. For example, x=2, y=4, x=-1, are constant function, because they don't variate.
From the given tables, the third and last choices are constant function, because you can observe that one variable doesn't variate. The third function has y=3 as the constant value, and the last table has y=-1 is the constant function.
Therefore, the right choices are third and last table.
20 Points!! Will give Brainliest!!! Need Help ASAP!!! PLzz!!
Ray knows that the m<3 = m<6.
Which of the following conclusions can Ray make based on the given information?
A. Lines l and m are parallel because alternate interior angles are equal.
B. Lines l and m are parallel because alternate exterior angles are equal.
C. Lines l and m are parallel because corresponding angles are equal.
D. No conclusion can be made about the lines.
Answer:
The answer is B
Step-by-step explanation:
3 and 6 are alternate exterior angles which make lines l and m parallel.
Answer: c
Step-by-step explanation:
Which lines are parallel if m angle 1= m angle 2 ?
which property is used below?
Distributive property
multiplication property of inequality
Subtraction property of inequality
Associative property of multiplication
Answer:
multiplication property of inequality
Step-by-step explanation:
-1/3 x - 2/3 ≥ 7x+3
We can multiply by 3 on each side to clear the fraction by the Multiplication property of inequality
Since c>0
and a≥b
ac ≥ bc
Question 3(Multiple Choice Worth 5 points) (06.08A) Simplify negative 15.5 divided by 5 .. −3.1 3.1 −3.3 3.3
A negative divided by a positive gives a negative result
So the answer is -3.1
Hope this helps!
this was correct on my test, hope it helps! ;)
(Brainliest would help a lot btw)
solve this please PLZ PLZ PLZ ITS REALLY EASY!!!
Answer: 169.56
Step-by-step explanation:
A = r²θ
r = 6θ = 270° = [tex]\frac{3\pi}{2}[/tex]A = (6)²[tex](\frac{3\pi}{2})[/tex]
= 36[tex](\frac{3\pi}{2})[/tex]
= 18(3π)
= 54π
≈ 169.56
You can spend at most $10 at the mall. You want to buy a book that costs $6.75 and a cold drink. Write and solve an inequality to represent the amount of money you can spend on your cold drink.
Plzz Hellp me!!!;(
Answer:
the amount of money you can spend on the drink is no more than 3.25
Step-by-step explanation
total is greater than/equal to cost of book plus cost of drink
10>/=6.75+x (x represents the drink)
x</=3.25
Answer: 10.00-6.75=find out yourself, EASY
Step-by-step explanation:
Since you have 10 dollars and you find a book and a cold drink for all 6.75
you will need to subtract the numbers to find your answer
the ratio of 6th graders to 7th graders at a basketball game is 4:1. if there are eight 6th 7th graders how many 6th graders are there
Answer:
if there are 8 7th graders there are 32 6th graders. 4*8=32
Step-by-step explanation:
Use the diagram to answer the question
Line m is parallel to line p. M angle HEF IS 39 degrees. And m IGF is 13 degrees. Find the m EFG. Explain in detail how you know you are correct. I WILL MARK THE BRAINLIEST
Answer:
[tex]m\angle EFG=52^{o}[/tex]
Step-by-step explanation:
We have been given that line m is parallel to line p, [tex]m\angle HEF=39^{o}[/tex] and [tex]m\angle IGF=13^{o}[/tex].
Since line m is parallel to line p and EJ is a transversal, so measure of angle EJG will be 39 degrees as angle EJG is alternate interior angle of angle HEF. Both angles are inside parallel lines m and p and on opposite side of transversal EJ.
We can see that angle EFG is exterior angle of triangle GFJ. Since the measure of an exterior angle of a triangle equals to the sum of the opposite interior angles.
We can see that angle IGF and angle EJG are opposite interior angles of angle EFG.
[tex]m\angle EFG=m\angle IGF+m\angle EJG[/tex]
Upon substituting our given values we will get,
[tex]m\angle EFG=13^{o}+39^{o}[/tex]
[tex]m\angle EFG=52^{o}[/tex]
Therefore, measure of angle EFG is 52 degrees.
which property is used to simplify the expression 5+(6+-6)=5+0
additive inverse property
additive identity property
associative property of addition
commutative property of addition
Answer:
additive inverse property
Step-by-step explanation:
which property is used to simplify the expression 5+(6+-6)=5+0
additive inverse property
x+-x = 0
additive identity property
0+8=8
associative property of addition
a+(b+c) = (a+b)+c
commutative property of addition
a+b=b+a
Answer: additive inverse property
Step-by-step explanation: i looked it up lol
30 points!!! Plzz help!!! Will give Brainliest!!!! Need help ASAP!!!!
Using the diagram shown, select all that apply to the pair of angles, 1 and 2.
A. acute
B. right
C. obtuse
D. adjacent
E. vertical
F. complementary
G. supplementary
The length of a rectangular garden is represented by 3x-4 and the width is represented by 2x-5. Which of the following represents the total area of the garden
The options are
a.) 5x - 9
b.) 6x + 20
c.) 6x²- 23x + 20
d.) 6x²-14x - 9
Answer:
c.) 6x²- 23x + 20
Step-by-step explanation:
Rectangle area can be computed as length × width . The garden is a rectangle so the area can be computed by multiplying the length and the width.
Area= L × W
Length = 3x - 4
width = 2x - 5
Area = (3x - 4)(2x - 5)
Area = 3x(2x) + 3x(-5) -4(2x) -4(-5)
Note : - × - = +
Area = 6x² -15x - 8x + 20
Area = 6x² - 23x + 20
Jane moved from a house with 58 square feet of closet space to an apartment with 29.58 square feet of closet space. What is the percentage decrease of Jane's closet space? A. 96% B. 39% C. 49% D. 51% R
The perimeter of a rectangle is 34 units. Its width is 6.5 units. Write an equation to determine the length of the rectangle.
Answer:
The length for a rectangle with a perimeter of 34 units and a width of 6.5 units would be 10.5 units.
Step-by-step explanation:
To find the length, you can use the equation [34 - (6.5 x 2) ÷ 2 = the length]. So, 6.5 x 2 = 13, then 34 - 13 = 21, finally, 21 ÷ 2 = 10.5 . So the length of the rectangle is 10.5 . To double check, (6.5 x 2) + (10.5 x 2) (=) 34. So this answer is correct.
If there’s a negative before brackets you do the opposite terms right?
Answer:Yes
Step-by-step explanation:
When the negative is on the outside of the bracket you distribute the negative to each term inside the parentheses.
Answer:
yes you would change the signs that are inside the parenthesis
Step-by-step explanation:
you do so because the negative outside the parenthesis mean you are distributing the negative to the terms.
Aria walked down a trail into a valley. V(d) models Aria's vertical distance from the top of the valley (in kilometers) after walking d kilometers along the trail. What does the statement V(3)<3 mean?
Answer:
When Aria had walked 3km along the trail, her vertical distance from the top of the valley was less than 3 km
Step-by-step explanation:
Remember that V(d) denotes Aria's vertical distance from the top of the valley V after she has walked d kilometers along the trail.
This means that V(3) is Aria's vertical distance from the top of the valley after she has walked 3km.
Therefore, V(3)<3 means that Aria's vertical distance from the top of the valley after she has walked 3km, is less than 3km
In other words, the statement means that when Aria had walked 3km along the trail, her vertical distance from the top of the valley was less than 3km
V(3) < 3 means Aria's vertical distance from the top of the valley is less than 3 kilometers after walking 3 kilometers along the trail. It shows her descent into the valley is not more than 3 kilometers vertically at that point.
The inequality V(3) < 3 means that after Aria has walked 3 kilometers along the trail, her vertical distance from the top of the valley is less than 3 kilometers. In other words, Aria has descended into the valley, but her descent after 3 kilometers along the trail is not greater than 3 kilometers vertically. This provides a way to understand her position relative to the top of the valley based on the distance she has walked.
what is another way to write the expression P x (10 - 2)
A. 10 x 2 - P
B. (10 x 2) x P
C. (P x 10) - (P x 2)
D. (10 x 2) - P
The complement of an angle is 53 degrees. What is the measure of an angle?
Wells college Aurora New York Was previously an all girls college.In 2005 the college began to allow boys to enroll.By 2012 The ratio of boys to girls was 3 to 7. If there were 200 more girls than boys in 2012 how many boys in enrolled that year
Answer:
150
Step-by-step explanation:
The ratio of boys to girls is 3 to 7.
We don't know the number of boys or girls. The number of boys and the number of girls are multiples of 3 and 7, respectively. Since they are in the ratio of 3 to 7, then by multiplying both 3 and 7 by the same number, you will get the number of boys and the number of girls. We need to find that number. Call that number x.
The ratio of boys to girls is:
3x to 7x
There are 3x boys and 7x girls.
The number of girls is 200 more than the number of boys.
7x = 3x + 200
Subtract 3x from both sides.
4x = 200
Divide both sides by 4.
x = 50
The number of boys is 3x, so
3x = 3(50) = 150
150 boys and 350 girls were enrolled that year.
Since a college was previously an all girls college, and then it began to allow boys to enroll, and by 2012 the ratio of boys to girls was 3 to 7, to determine, if there were 200 more girls than boys in 2012, how many boys were enrolled that year, the following cross multiplication calculation must be performed:
7 - 3 = 200 3 = X 4 = 200 3 = X 3 x 200/4 = X 600/4 = X 150 = X 150/3 = 50 (150 + 200) / 3 = 50
Therefore, 150 boys and 350 girls were enrolled that year.
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6a. Suppose you need to find a box that you can fit your cube-shaped gift into. You know that you will need to find a box that is 4 inches longer than the cube’s length, 3 inches wider than the cube’s width, and 7 inches taller than the cube’s height. Create a polynomial that represents the gift box’s volume in terms of the cube’s length/width/height, in factored and standard form
Answer:
( l + 4) * ( w + 3 ) * ( h + 7)
let l represent the length, w represent the width, and h represent the height of your cub-shaped gift.
Though, if your gift is in the shape of a cube, that would mean all the sides are the same length.
( 2 + 4 ) * ( 2 + 3 ) * ( 2 + 7 )
6 * 5 * 9 = 270
(I haven't done geometry in awhile though, so this may be incorrect unless it actually makes sense.)
Answer:
V = (x+ 4)(x + 3)(x + 7); V = x³ + 14x² + 61x + 84
Step-by-step explanation:
Let x = the side of the cube
Then the dimensions of the gift box are
l = x + 4
w = x + 3
h = x+ 7
V = lwh
V = (x+ 4)(x + 3)(x + 7) Multiply the first two terms
V = (x² + 7x + 12)(x+ 7) Remove parentheses
V = x³ + 14x² + 61x + 84
Answers for m1 m2 m3
Answer:
<1 = 30
<2= 41
<3 = 96
Step-by-step explanation:
Angle 1 ,66 and 84 form a triangle and triangles add to 180 degrees
<1 + 66 + 84 = 180
Combine like terms
<1 +150 = 180
Subtract 150 from each side
<1 + 150 -150 = 180-150
<1 = 30
Angle 3 and 84 form a straight line. A straight line is 180 degrees.
<3 + 84 =180
Subtract 84 from each side
<3 +84-84 = 180 - 84
<3 = 96
<2 , <3 and 43 form a triangle which adds to 180 degrees,
<2 + <3 + 43 = 180
We have already found <3 to equal 96 degrees
<2 + 96+43 = 180
Combine like terms
<2 +139=180
Subtract 139 from each side.
<2 +130-139 = 180-139
<2 = 41
Which expressions are equivalent to -6n+(-12)+4n
Answer:
-2n - 12
Step-by-step explanation:
Combine like terms. Note that each term has one variable (n). Also note that one negative sign and one positive sign results in a negative sign.
-6n + (-12) + 4n = -6n + 4n - 12 = -2n - 12
-2n - 12 is your answer
~
Answer:
A
Step-by-step explanation:
4(n-3)-6n