Answer:
[tex]S_{a}[/tex] = 2[tex]S_{b}[/tex]
where: [tex]S_{a}[/tex] is the sum of the terms in the first sequence, and [tex]S_{b}[/tex] is the sum of the terms in the second sequence.
Step-by-step explanation:
The two sequences are arithmetic progression.
From the first sequence,
first term, a = 2
common difference, d = 2
number of terms, n = 5
From the second sequence,
first term, a = 1
common difference, d = 1
number of terms, n = 5
The sum of terms of an arithmetic progression is given as;
= [tex]\frac{n}{2}[/tex][2a + (n - 1) x d]
⇒ Let the sum of the first sequence be represented by [tex]S_{a}[/tex], so that;
[tex]S_{a}[/tex] = [tex]\frac{5}{2}[/tex][2(2) + (5 - 1) x 2]
= [tex]\frac{5}{2}[/tex][4 + 8]
= [tex]\frac{5}{2}[/tex] x 12
[tex]S_{a}[/tex] = 30
⇒ Let the sum of the second sequence be represented by [tex]S_{b}[/tex], so that;
[tex]S_{b}[/tex] = [tex]\frac{5}{2}[/tex][2(1) + (5 - 1) x 1]
= [tex]\frac{5}{2}[/tex][2 + 4]
[tex]S_{b}[/tex] = 15
Thus, the statement that would correctly describe the relationship between the sequences is;
[tex]S_{a}[/tex] = 2[tex]S_{b}[/tex]
where: [tex]S_{a}[/tex] is the sum of the terms in the first sequence, and [tex]S_{b}[/tex] is the sum of the terms in the second sequence.
Makayla has $740 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $465.34.
She buys 4 bicycle reflectors for $13.25 each and a pair of bike gloves for $18.12.
She plans to spend some or all of the money she has left to buy new biking outfits for $25.69 each.
What is the greatest number of outfits Makayla can buy with the money that's left over?
Number of biking outfit Makayla buy is 7
Given:
Total amount spend by Makayla = $740
Cost of bicycle = $465.34
Cost of 4 bicycle reflectors = $13.25(each)
Cost of pair gloves = $18.12
Cost of each biking outfit = $25.69 each
Find:
Number of biking outfit Makayla buy
Computation:
Assume;
Number of biking outfit Makayla buy = a
Total cost = Cost of bicycle + Total Cost of 4 bicycle reflectors + Cost of pair gloves + Total cost of biking outfit
465.34 + 4(13.25) + 18.12 + a(25.69) = 740
465.34 + 53 + 18.12 + a(25.69) = 740
536.46 + a(25.69) = 740
a(25.69) = 740 - 536.46
a(25.69) = 203.54
a = 7.9229
Rounding number to less
So.
Number of biking outfit Makayla buy = 7 (Approx.)
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Choose THE correct option. 25. Write the elements of the given set A A= { x|x is a square number less than 5}
1) 2
2) 4
3) 1
Answer:
A = (1, 4)
Step-by-step explanation:
Given :
Square numbers include : 1² = 1 , 2² = 4 , 3² = 9 , 4² = 16 ,...
x|x square numbers less than 5
1² = 1
2² = 4
Therefore all square number less Than 5 are ; 1, 4
Hence,
Set A = (1, 4) where, x|x square numbers less than 5
A = (1, 4)
Tamisha ordered 4 pepperoni pizzas and 2 sausage pizzas for $60.50. Megan ordered 2 pepperoni pizzas and 3 sausage pizzas for $48.75. Find the cost of each.
If the cost of renting a house is given as C(x) = 25x + 350, where is the number of years. What is the total money paid in 4 years?
Answer:
450
Step-by-step explanation:
plug 4 into x
25(4) + 350
Tell whether the triangles
are similar.
Yes or No
Answer: yes
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
107 minus 39 is equal to 146. 180 (total degrees for triangles) minus 146 is 34. The triangles are equal
The rational and the irrational numbers together are called whole numbers. true or false
the answer is false
Step-by-step explanation:
natural numbers and zero are whole numbers
PLSSS HELPPP MEE I WILL GIVE BRAINLIEST OR A LOT OF POINTS
Answer:
c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
c is your answer hope it helps you
BRAINLIEST for the correct answer!
7th grade math
Find the area of this shape
follow me
Answer:
38 ft^2
______________
16 < −x −6 OR 2x + 5 ≥ 11
Answer:
A. -1; -2; -3; -4; -5.
B. x>1
Find the measure of FG.
Answer:
26
Step-by-step explanation:
both bottoms corners are equal lengths so the other length has to be 26 since the other length is 26.
The measures of the angles of a triangle are shown in the figure below. Solve
for x.
30°
(4x-4)
In this triangle it is given that one angle if of 30⁰ and another one is of 90⁰
so By using ANGLE SUM PROPERTY we can solve it
so,
30⁰+ 90⁰ + 4x - 4⁰ = 180⁰(ASP)
120⁰ + 4x - 4 = 180⁰
4x - 4 = 60⁰
4x = 64
x = 16⁰
Hence solved
hope it help u
Simplify the expression below
Answer:
− 4 x + 20
Step-by-step explanation:
4. Determine if the given point is a solution of the system of inequalities
A. (4,4) YES or NO
B. (-6,2) YES or NO
C. (-8,0) YES or NO
D. (-6,6) YES or NO
Answer:
hope this helps
Step-by-step explanation:
a yes
b yes
c no
d yes
???????????.............
Answer:
Sorry but I can't read the image
Step-by-step explanation:
show that the equation x^3-3x^2+3=0 has a solution between x=2 and x=3
The equation has 3 solutions (determined by the degree of polynomial and non-extreme case).
If you use cubic equation to try and solve the equality you get
[tex]x_1\approx-0.88 \\ x_2\approx1.35 \\ x_3\approx2.53[/tex]
Clearly third one is in [tex](2,3)[/tex] so the statement that one solution is between 2 and 3 is true.
Hope this helps.
Pls help what do I put
Answer:
m+m×0.15
because it increased by 15%
you get m's 15% if you multiply it with 0.15
help pls thankssssssss
1. Which of the following linear equations has
a positive slope? Circle ALL that apply.
A. y =-3x - 5
B. y = 5 + 7x
D. X =-4
C. y = 6
E. y =- x + 2
F. y = įx-2
A trapezoid has an area of 200 square inches
The larger base is 14 in and the height is 16 in find the smaller base of the trapezoid.
A. 11in²
B. 11in
C. 12.5in
D. 12.5in²
Answer:
B 11in
Step-by-step explanation:
Area of trapezoid is
[tex] \frac{1}{2} (h)(b _1 + b_2)[/tex]
please this is quiz due in a hour ill up the points
Answer:
DE and DF are equal to 2√2
Step-by-step explanation:
According to the 45-45-90 triangle rule, the hypotenuse is equal to the legs times √2, so in order to find the legs, you have to divide 4 by √2 to get 2√2.
Help me please just need this last one and I’ll be done please help me if you can
Answer:
58°
Step-by-step explanation:
Start with the equation 2x + 2 + 90 = 148
( I got the 90 from Angle B since it is a right angle.)
Combine like terms 2x + 92 = 148
( 90 and 2 didn't have variables so you could add them together.)
Subtract 92 from both sides 2x + 92 = 148
-92 -92
(The opposite of addition is subtraction.)
Now write out the new equation 2x = 56
Divide both sides by 2 [tex]\frac{2x}{2}[/tex] = [tex]\frac{56}{2}[/tex]
You'll end up with... x = 28
To find the measure of angle BAC, plug in 28 where the x value is 2(28) + 2
This gives you the answer 58°
fill in the five blanks on the function table
I don’t understand this very much pls help
Answer:
Side RP
Step-by-step explanation:
so you see the dashes on the sides that means theyre equal so...
Side LM has one dash and Side RP has one dash so they are corresponding
Colin, Sara and Gordon share some sweets in the ratio 4:3:3. Colin gets 48 sweets. How many
did Gordon get?
Answer:
36
Step-by-step explanation:
So to find the answer we know that the ratio is 4:3:3 if colin gets 48 the ration will be 48:?:?
We have to find the ?
to find the ? we need to divide 48 with 4 and we get 12
now we know that it is 12 we have to multiply all of it with 12 to find Gordon and Sara
So 3 x 12 = 36
So the new Ratio is 48:36:36
Gardon is at the end and the number at the end is 36
So we now know the answer
Please mark as brainliest
Have a great day, be safe and healthy
Thank u
XD
Answer:
36
Step-by-step explanation:
Colin : Sara : Gordon = 4 : 3: 3
Colin's share = 4x
Sara's share = 3x
Gordon's share = 3x
Colin's share = 48
4x = 48 {Divide both sides by 4}
x = 48/4
x = 12
Gordon's share = 3x = 3*12 = 36
Graph each pair of ordered pairs. Then find the distance between the points. Round to the nearest tenth if necessary.
Answer:
pictures
Step-by-step explanation:
20 characters 7273959272849942883292
select all of the solutions to the system graphed below.
0,-2
4,4
2,0
3,5
Step-by-step explanation:
that was my answer
латна монтаж на работа
hmhoo.com/assem stessment HM Growth Measures
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Last week Marisol made $147 for working 12 hours at the local park district. How much money will Marisol make if she works 15 hours next weeka
$152.55
$172.50
$180.00
$183.75
77051
Sklo
Answer:
$183.75
Step-by-step explanation:
divide by 12 (hours)
147/12=12.25
multiply by 15 (hours)
12.25*15=183.75
Hope this helps! :)
in a class of 50 student,18 offered mathematics, 21 offered chemistry while 16 offered biology, 7 student offered mathematics and biology, 9 student offered chemistry and biology while 5 student offered the three subjects. find the number that offered mathematics but neither chemistry nor biology.
b the number of students that offered biology but neither chemistry nor mathematics and the number that offer biology neither mathematics nor chemistry
Answer:
ill try:
18 - 7 = 11
11 - 5 = 6
6 offered math but neither chem nor bio.
16 - 7 = 9
9 - 9 = 0
0 - 5 = -5
so 0 offered bio but neither chem nor math.
How much wrapping paper is needed to cover a box (rectangular prism) that measures 6 feet by 2.5 feet by 3 feet?
Answer:
81 feet ²
Step-by-step explanation:
Given that:
Dimension of rectangular prism :
6 feets by 2.5 feets by 3 feets
To obtain the amount of wrapping paper required to cover the box ; we find the area of the box ;
Area of box = 2(wl + hl + hw)
Area of box = 2(6*2.5 + 6*3 + 2.5*3)
Area of box = 2(15 + 18 + 7.5)
Area of box = 81 feet²
Which inequality does this number line represent?
Answer: n> or = -2
Step-by-step explanation: