Answer:
Sean's sum divided by Julie's sum is 2.
Step-by-step explanation:
The sum of an arithmetic sequence is:
[tex]\frac{n}{2}(2a+(n-1)d)[/tex]
In Sean's sequence, a = 2, n = 250, and d = 2
In Julie's sequence, a = 1, n = 250, and d = 2
[tex]\frac{\frac{250}{2}(2(2)+(250-1)2)}{\frac{250}{2}(2(1)+(250-1)1)}\\= 2[/tex]
The Sean's sum divided by Julie's sum gives the 2.
What is arithmetic sequence?An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.
If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:
a, a + d, a + 2d, ... , a + (n+1)d, ...
Its nth term is ; T_n = a + (n-1)d
(for all positive integer values of n)
And thus, the common difference is T_{n+1} - T_n for all positive integer values of n
The sum of an arithmetic sequence is;
[tex]= \dfrac{n}{2}[2a + (n-1)d ][/tex]
In Sean's sequence, a = 2, n = 250, and d = 2
[tex]= \dfrac{250}{2}[2(2) + (250-1)2 ]\\[/tex]
In Julie's sequence, a = 1, n = 250, and d = 2 then;
[tex]= \dfrac{250}{2}[2(1) + (250-1)2 ]\\[/tex]
Therefore, the Sean's sum divided by Julie's sum gives the 2.
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The average distance a swimmer swims
can be described by the equation
d= 30t, where d is the
horizontal
distance in meters and tis the time
in minutes. Find the distances the
swimmer swims at the times of 7, 10, 14,
and 20 minutes.
Answer:
the distance for 7 minutes is 210m
the distance for 10 minutes is 300m
the distance for 14 minutes is 420m
the distance for 29 minutes is 600m
Step-by-step explanation:
d=30(7)
d=210
d=30(10)
d=300
d=30(14)
d=420
d=30(20)
d=600
Shawn wanted to rent a mo-ped for the afternoon. The rental fee for a mo-ped was $10 plus $7 for each hour he used the bike. Write an expression that represents the cost for h hours. Then, decide how much Shawn spent if he rented the mo-ped for 3 hours.
Answer:
Total cost= $31
Step-by-step explanation:
Giving the following information:
The rental fee for a mo-ped was $10 plus $7 for each hour he used the bike.
First, we need to structure the total cost formula:
Total cost= 10 + 7h
h= number of hours
Now, for 3 hours:
Total cost= 10 + 7*3
Total cost= $31
If 7^9/7^n = 7^3, then n is___.
12
01
-3
3
Answer: 6, but it isn't in your answer choices
Step-by-step explanation: When dividing exponents with the same base, subtract the bottom exponent from the top. In this case, you get 3 from subtracting n from 9, so n should be 6
What similarity property, if any, can be used to show that the following two triangles are similar.
Answer:
The angles
Step-by-step explanation:
On both triangles, there is a square in the corner which means that both angles are 90 degrees, and then on the left side of the triangle, there are two signs that are the sames meaning those two have the same angle measurement. Based on this knowledge I know that the last angle of the triangle must also be the same degrees since both triangles follow the same equation 90+a+b=180. I know that all angle measurements from one triangle must equal 180. So these are the same triangles with different sizes.
Hope this helps you
Approximately how much principal would need to be placed into an account earning 1.58% interest compounded monthly so that it has an accumulated value of $90,597 at the end of 25 years?
Answer:
The initial investment is $821.58
Step-by-step explanation:
Giving the following information:
Future Value (FV)= $90,597
Number of periods (n)= 25*12= 300
Interest rate (i)= 1.58% = 0.0158
To calculate the initial investment, we need to use the following present value (PV) formula:
PV= FV/(1+i)^n
PV= 90,597 / (1.0158^300)
PV= $821.58
The initial investment is $821.58
Mel can walk 1 mile in 18 minutes. If she stays at the same rate, how far can she walk in 45 minutes?
Answer:
2.5 miles
Step-by-step explanation:
45 ÷ 18 = 2.5 miles
PS: please mark as brainliest! I hope this answer helps!
Mel can walk 2.5 miles in 45 minutes. All you have to do is 45/18. Remember this for the future, it will help in high school.
Expand and simplify 6(2x - 3) – 2(2x + 1)
Answer 8x - 20
Step-by-step explanation:
6(2x - 3) - 2(2x + 1)
Distribute
6(2x) -6( 3) - 2(2x) -2( 1)
12x -18 -4x -2
Combine like terms
12x -4x -18 -2
8x-20
Uniforms are sold in packages of 8. The store's 137 employees will each be given 4 uniforms. How many uniforms will the store need to order all together?
Answer:
552 uniforms (69 packages)
Step-by-step explanation:
since each employee will be given 4 uniforms and each package contains 8 uniforms, you need 1 package of uniforms for every 2 employees.
Total number of employees = 137
total number of uniform packages = 137 / 2 = 68.5 packages which must be rounded up since you need to have enough uniforms for everyone = 69 packages
69 packages x 8 uniforms per package = 552 uniforms
3) Where do planes M and NJF intersect?
A. KJH
B. FG
C. JFG
D.GN
Answer:
C) JFG BECAUSE THAT IS WERE IT CROSSES AT
Answer:
the origen is where they all start
Bella is working on the world record for longest beaded necklace. She has 10,000 glass beads that have a diameter of 0.4 cm. If she strings these beads end to end, how long will her necklace be.
Answer:
The necklace will be 4,000 cm long
Step-by-step explanation:
Here we want to calculate the length of the necklace
Mathematically, that would just be the product of the beads and the diameter of each bead
Hence, we have
10,000 * 0.4 = 4,000 cm
3. g(x) = -5x
Describe the transformations to the following graph
Determine the solution to the equation. 8+4x=2x+8+2x
Answer: x= all real numbers.
Step-by-step explanation: Simplify the equation first. 8+4x=2x+8+2x. Add the variables on the right side. 4x+8=4x+8. Because the two sides are exactly equal, x can be all real numbers.
Answer:
8=8
Step-by-step explanation:
8+4x=2x+8+2x
combine like terms
8+4x=4x+8
subtract 4 from both sides
8=8
I HOPE THIS HELPED!!!!
9y2 and 9y
like terms or unlike terms
Answer:
unlike terms
Step-by-step explanation:
since the first 9y is squared they cannot be combined since the other isn't squared, they cannot be simplified, nor are they alike
help much? brainliest if i can
Answer:
Option 1:[tex]y = -\frac{2}{3}x+5[/tex] is the correct answer.
Step-by-step explanation:
The slope-intercept form of a line is given as:
[tex]y = mx+b[/tex]
Here m is the slope and b is the y-intercept
m is calculated using the formula
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Given points are:
[tex](x_1,y_1) = (-3,7)\\(x_2,y_2) = (9,-1)[/tex]
Putting the values in the formula
[tex]m = \frac{-1-7}{9+3}\\= \frac{-8}{12}\\=\frac{-2}{3}[/tex]
Putting m=-2/3 in equation
[tex]y= -\frac{2}{3}x+b[/tex]
Putting (9,-1) in equation
[tex]-1 = -\frac{2}{3}(9)+b\\-1 = -6+b\\b = -1+6\\b = 5[/tex]
Putting the value of b
[tex]y = -\frac{2}{3}x+5[/tex]
Hence,
Option 1:[tex]y = -\frac{2}{3}x+5[/tex] is the correct answer.
(6th grade math)
yasiara has 3/4 of cake. she wants to divide it up into 1/12 size pieces. how many pieces will she have?
Answer:
9
Step-by-step explanation:
Multiply the denominator of 3/4 to get the same denominator as 12 which would be 3 so that makes it 9/12
Find the answer plz OR I WILL YEET YOU.
7/2x -3(5x -1/2)
Answer:
Step-by-step explanation:
Original equation:
7/2x - 3(5x - 1/2) = ?
Use distributive property for the parentheses
-3 · 5x = -15x
-3 · (-1/2) = 3/2 or 1.5
Plug these values into the equation
7/2x - 15x + 1.5 = ?
Combine like factors
-11.5x + 1.5 = a (a = answer)
The equation with fractions:
-11 1/2 + 1 1/2 = a
Hope this helps :)
raised the points and will mark u as brainliest please help.
Answer:
1. x = 102. x = -63. 944. x = 2Step-by-step explanation:
1. F and M are equal angles and sum of internal angles = 180, so
2(7x + 5) + 30 = 18014x + 10 + 30 = 18014x = 140x = 102. Triangle is equilateral as all angles are equal, so all sides are equal:
4x + 43 = -2x + 74x + 2x = 7 - 436x = -36x = -63. Isosceles triangle with equal angles of R and T:
4x + 7 = 7x - 20 (using values as per picture not text)7x - 4x = 20 + 73x = 27x = 9Angle S is
180 - 2(4*9 + 7)= 180 - 2(43) = 180 - 86 = 944. Angle 2 is supplementary with 156 as isosceles triangles and vertical angles are equal, therefore:
180 - 156 = 6 + 9x24 = 6 + 9x18 = 9xx = 2What additional information could
be used to prove the triangles
similar using AA-?
Answer:
.
Step-by-step explanation:
Determine the intercepts of the line.
-4x + 7 = 2y - 3
y-intercept:
X-intercept:
Answer:
x=-1/2y , +3/4b, 7/4 this is the answer
The y-intercept is (0, 5) and the x-intercept is (2.5, 0).
What is an intercept of the straight line?In the context of a straight line in a two-dimensional plane, an intercept refers to the point(s) where the line intersects with one or both of the coordinate axes (i.e., the x-axis and the y-axis).
To find the y-intercept, we set x = 0 and solve for y:
-4(0) + 7 = 2y - 3
7 = 2y - 3
2y = 10
y = 5
Therefore, the y-intercept is (0, 5).
To find the x-intercept, we set y = 0 and solve for x:
-4x + 7 = 2(0) - 3
-4x + 7 = -3
-4x = -10
x = 2.5
Therefore, the x-intercept is (2.5, 0).
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Manuel and Felicia are comparing how much
money they have
• Manuel has $250.
• He saves $150 per week,
• Felicia has $1,650.
• She spends $200 per week.
• Let x = the number of weeks
• Let y = the amount of money at the end
of the week.
Which system of equations represents this
situation?
Answer:
y = 250 + 150xy = 1650 - 200xStep-by-step explanation:
Equation for Manuel:
y = 250 + 150xEquation for Felicia:
y = 1650 - 200xSolving we get:
250 + 150x = 1650 - 200x150x + 200x = 1650 - 250350x = 1400x = 1400/350x = 4 weeksand
y = 250 + 150*4 = 250 + 600 = $850After 4 weeks Manuel and Felicia will have equal amount of money- $850
3s - 4 = 8
cant figure it out
Answer:
3s = 8+4
3s = 12
s = 12/3
s = 4
Tom has a fair spinner with six sides. They are labelled red, red, blue, green, red, blue. Choose the word that best describes the likelihood that the spinner will land on a colour not green.
Answer:
It is MOST LIKELY NOT going to land on green.
Step-by-step explanation:
Since the spinner has 6 sides, the total possible outcome is 6. There are 3 reds, 2 blues and 1 green.
The probability that the spinner will land on a green is [tex]\frac{1}{6}[/tex]. But since we are looking for the probability that it won't land on green, we have [tex]1 $-$ \frac{1}{6} = \frac{5}{6}[/tex]
From here we can best describe the likelihood that the spinner will land on a colour not green as: it is MOST LIKELY NOT going to land on green
2/5+4/7 = Simplified
Answer:
exact form:34/35
Step-by-step explanation: combine the fractions by finding the common denominator i guess
2(15+6y)+5y=9 someone help me
Answer:
y=-21/17
Step-by-step explanation:
Answer:
y= - 21/17
Step-by-step explanation:
Rearrange terms:2(15+6y) +5y =9
2(6y+15)+5y=9
Distribute:2(6y +15) +5y=9
12y+30 + 5y = 9
Combine like terms:12y+30+5y =9
17y+30 =9
Subtract 30 from both sides:17y+30 =9
17y +30 -30 =9-30
Simplify:17y=-21
Answer:y=-21/17
julissa gave out an equal number of oranges to each of the 6 apartments on her floor. if she gave each apartment 5 oranges how many oranges did julissa give out in all
Chet started to slow his eating speed down later in the evening. He was
now eating only 1/4 of a turkey every 2 hours. What was his unit rate
later in the evening?
Answer:
The unit rate is:
1/8 turkey/per hour.Step-by-step explanation:
As Chet was eating 1/4 of a turkey every 2 hours.
This tells us that every two hours, Chet will eat 175 1/4 of a turkey.
Unit rate basically means 'how much of something per 1 unit of something else'.A unit rate is a rate with a denominator of 1 unit.
This means, in 1 hour, Chet will eat half of what he eats every 2 hours.
so Chet will eat [tex]\frac{\frac{1}{4}}{2}=\frac{1}{8}[/tex] of a turkey in 1 hour.
i.e.
[tex]\frac{\frac{1}{4}}{2}=\frac{1}{8}[/tex]
Therefore, the unit rate is:
1/8 turkey/per hour.PLEASE HELP CORRECT ANSWER GETS BRAINLIEST !
Answer:
2nd Option
Step-by-step explanation:
Which expression is equal to 5 6 (6 is an exponent)
6x5
36x6x6x6
25x5x5x5
125x125
Answer:
125 x 125
Step-by-step explanation:
I got it correct on my i ready pls trust.
Please solve, need help quick
Answer:
In my thought it's angle L
Step-by-step explanation:
Hope it's will help you.
Answer:
it's angle l ..................
what is 2+2 and what is your favorite song?
Answer:
2+2=4 and my fave song is blood in the water
Step-by-step explanation:
Mark Deathshot brainliest
Answer:
4 and i see a dreamer
Step-by-step explanation: