The sequence 1/2, 7/6, 11/6, 5/2 is an arithmetic sequence
The given sequence is:
[tex]\frac{1}{2}, \frac{7}{6},\frac{11}{6},\frac{5}{2}........[/tex]
A sequence is an arithmetic sequence if it has a common difference d
In the given sequence:
[tex]T_1=\frac{1}{2} , T_2 = \frac{7}{6}, T_3=\frac{11}{6}, T_4=\frac{5}{2}[/tex]
[tex]T_2-T_1=\frac{7}{6}-\frac{1}{2} \\\\T_2-T_1=\frac{2}{3} \\\\T_3-T_2=\frac{11}{6}-\frac{7}{6} \\\\T_3-T_2=\frac{2}{3}[/tex]
Since the sequence has a common difference of 2/3, it is an arithmetic sequence
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How I can answer this question, NO LINKS, If you answer correctly I'll give u brainliest
Answer:A and D
Step-by-step explanation:
4*5r=20r
4*15t=60t
20*r = 20r
20*3t=60t
hi please help, I can't understand.
If the sides of a rectangle with area 12cm² are (3x-2) and (x+1)
a)X-? b)P-?
[tex](3x - 2)(x + 1) = 12 \\ = > {3x}^{2} - 2x + 3x - 2 = 12 \\ = > {3x}^{2} + x - 2 = 12 \\ = > {3x}^{2} + x - 12 - 2 = 0 \\ = > {3x}^{2} + x - 14 = 0 \\ = > {3x}^{2} + 7x - 6x - 14 = 0 \\ = > x(3x + 7) - 2(3x + 7) = 0 \\ = > (x - 2)(3x + 7) = 0 \\ = > x = 2 \: \: \: or \: \: \: \frac{ - 7}{3} \\ [/tex]
But a negative number cannot be the side of a rectangle.So, x = 2 cmNow, length = (3x - 2) = (3 × 2 - 2) cm = (6 - 2) cm = 4 cmBreadth = (x + 1) = (2 + 1) cm = 3 cm.We know, perimeter of a rectangle = 2( length + breadth)Therefore, the perimeter of the rectangle[tex] = 2(4 + 3)cm \\ = 2 \times 7cm \\ = 14cm[/tex]
Answer:
The value of x is 2 cm and the perimeter of the rectangle is 14 cm.
Hope you could get an idea from here.
Doubt clarification - use comment section.
Sketch the graph of each line
The standard equation of a line is y = mx+ b
where:
m is the slope of the lineb is the y-intercept of the lineThe y-intercept is the point where the line cuts the y-axis
For the equation y = -2x -4
For the equation, the line will cut the y-intercept at y = -4 with a negative slope of -2.For the equation y = -5/2x
For the equation, the line will cut the y-intercept at y = 0 with a negative slope of -5/2.Find the graphs attached.
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order the numbers from least to greatest .
least to greatest
-4.5
-4
-3 1/2
-3
2.5
Answer:
-4.5, -4, -3 1/2, 2.5, 3
Step-by-step explanation:
Point O is the center of this circle. What is m CAB?
A.55
B.48
C.45
D.35
Complete the pairs of corresponding parts if RST=TXY
Answer:
R ⇔ TS ⇔ XT ⇔ YRS ⇔ TXRT ⇔ TYST ⇔ XYStep-by-step explanation:
Corresponding parts are listed in the same order in the congruence statement:
RST ≅ TXY
R ⇔ T
S ⇔ X
T ⇔ Y
RS ⇔ TX
RT ⇔ TY
ST ⇔ XY
_____
Above, we have used ⇔ to mean "corresponds to."
three teachers have purchased candy for a school carnival. each bag of candy weigh is 1 1/4 pounds
Answer:
3 * 1.25 = 3.75
Step-by-step explanation:
3.75 also equals 3 3/4
evaluate p-q if p=14 and q=13
Answer:
Value of [tex]p-q=1[/tex]
Step-by-step explanation:
We need to find [tex]p-q[/tex]
[tex]p-q=14-13\\\\=1[/tex]
[tex]\huge\boxed{\sf{Hello\:there!}}[/tex]
We are asked to evaluate p-q.
Now, if we aren't given the value of every variable, evaluating this expression is impossible. However, we do have the value of p (14) and the value of q (13)
We plug these numbers instead of the variables:
p-q
p=14
q=13
14-13
1
Hence, the value of the expression is 1.
[tex]\huge\boxed{\sf{Hope\:it\:helps.\:Please\:mark\:Brainliest.}}[/tex]
[tex]\huge\bold{Good\:luck!}}[/tex]
[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]
Brenda's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child tickets for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. What is the price each of one senior citizen ticket ?
Senior citizen ticket: $
If the average ticket price for movie A in its first week was 1.4 times the average ticket price in its third week, what was the average ticket price for movie A in its first week?
Sam currently 100 followers on TikTok, and gains 8 subscribers a week. Alex currently has 220 followers, and gains 3 followers each week.
Part A: Set up a system of equations to shows each person's subscribers. (2 points)
Part B: After how many weeks will Sam and Alex have the same number of subscribers? (1 point)
Part C: How many subscribers will Sam and Alex have when their subscriber count is equal? (1 point)
Part A: The system of equations to shows each person's subscribers is:
S = 100 + 8x
A = 220 + 3x
Part B: Sam and Alex will have the same number of subscribers after 24 weeks
Part C: Sam and Alex will have 292 subscribers when their subscriber count is equal
Let the number of weeks be x
The initial number of followers that Sam has = 100
Sam gains 8 subscribers every week
Let the total number of subscribers that Sam has be S
The equation that represents Sam's total subscribers is:
S = 100 + 8x..................(1)
The initial number of followers that Alex has = 220
Alex gains 8 subscribers every week
Let the total number of Alex's subscribers be A
A = 220 + 3x....................(2)
If Sam and Alex have the same number of subscribers:
S = A
100 + 8x = 220 + 3x
8x - 3x = 220 - 100
5x = 120
x = 120/5
x = 24
Sam and Alex will have the same number of subscribers after 24 weeks
To find the number of subscribers that Sam and Alex will have when their subscriber count is equal, substitute x = 24 into equation (1)
S = 100 + 8x
S = 100 + 8(24)
S = 292
Sam and Alex will have 292 subscribers when their subscriber count is equal
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can someone help me figure this out
Answer:
b ≥ 8
Step-by-step explanation:
b + 4 + 2(-2b + 4) ≤ -12
b + 4 - 4b + 8 ≤ -12
-3b + 12 ≤ -12
-3b ≤ -24
b ≥ 8
a cook starts baking pies at the clock shown below. The first pie is done 25 min later. The 2nd pie is done 30 min later after the first pie which clock shows when the second pie was done
Answer:
1:45 pm
Step-by-step explanation:
its the hand thats a littke more on the left after 6
Find the slope-intercept form of the line whose slope 5 is and that passes through the point (-5,8).
The equation of the line is
Answer:
y=5x+33
Step-by-step explanation:
y-y1=m(x-x1)
y-8=5(x-(-5))
y-8=5(x+5)
y=5x+25+8
y=5x+33
angle A coincides with angle E
Answer:
Nah fam its the other way round.... bru h whats ur question
Step-by-step explanation:
Answer:
It coincides by both being congruent
Step-by-step explanation:
Given that two terms of an arithmetic sequence are u5 = -3.7 and u15 = -52.3, find the value of the 19th term.
Answer:
a19 = -71.74
Step-by-step explanation:
The general term of an arithmetic sequence with first term a1 and common difference d is ...
an = a1 +d(n -1)
The given 5th and 15th terms tell us ...
-3.7 = a1 +d(5 -1)
-52.3 = a1 +d(15 -1)
Subtracting the first of these equations from the second, we find ...
10d = -48.6
d = -4.86 . . . . . . divide by 10
The 19th term will be ...
a19 = a1 +d(19 -1)
Subtracting the 15th term from this, we find ...
a19 -a15 = 4d
a19 = 4d +a15 = 4(-4.86) +(-52.3)
a19 = -71.74
If ARST = ANPQ, which of the following is true?
Answer:
T=Q
Step-by-step explanation:
They are in te same position on the comparison
Dont know how to calculate it
Answer:
AB = 105
Step-by-step explanation:
Since ∠ A and ∠ B are equal then Δ ABC is isosceles with 2 congruent legs.
AC = BC , substitute values
6x - 7 = 5x + 7 ( subtract 5x from both sides )
x - 7 = 7 ( add 7 to both sides )
x = 14
Then
AB = 7x + 7 = 7(14) + 7 = 98 + 7 = 105
Find the slope of the line containing the points (3,2) and (6,9).
Answer:
7/3
Step-by-step explanation:
Which expression represents 11 less than a number, n?
Answer:
n-11
Step-by-step explanation:
71 points what is 12x 8=...........................96
Answer: 12 x 8 = 96
Step-by-step explanation:
Thanks c:
Help asap pls!!! Put steps if possible 3
Answer:
i. 15.4
ii.45.2
Step-by-step explanation:
correct me if im wrong
tnx
please help again forgot everything
Answer:
a
Step-by-step explanation:
to find a proportion they must equal each other
8/4 in its simplest form is just 2
to make r/3 = 2 r must be 6
6/3 is 2
The temperature dropped 4 1/2 degrees each hour for 5 hours. By how many degrees did the temperature fall during those five hours?
Answer:
22.5
Step-by-step explanation:
You take the unit rate and multiple that by how many hours are going by. 4.5x5
3. Mama has her opinions about things concerning Walter. Determine which statements are TRUE/FALSE about what Mama thinks.
Answer:
False
Step-by-step explanation:
Hope this helped
how do i solve this
Answer:
m <E = 134
Step-by-step explanation:
Triangle DEF looks like an isosceles triangle to the base angles are the same measure.
6x+11 = 10x+3
Subtract 11 from both sides
6x = 10x-8
Subtract 10x from both sides
-4x = -8
Divide -4 from both sides
x = 2
Substitute 2 into both equations to make sure it works
6 (2) + 11
12+11
23
10 (2) +3
20+3
23
Both angles equal 23 degrees.
Now subtract both angles from the total angle measure of 180.
180-23-23=134
Which congruence criteria is met in the following scenario?
HL
ASA
SSS
AAS
SAS
The sum of a number and six is 22. What is the number?
Answer:
16
Step-by-step explanation:
22-6=16 16+6=22
hope this helps! :)
10 divided by 3 long division
Okay so the first thing we need to do is clarify the terms so that you know what each part of the division is:
The first number, 10, is called the dividend.The second number, 3 is called the divisor.What we'll do here is break down each step of the long division process for 10 divided by 3 and explain each of them so you understand exactly what is going on.
10 divided by 3 step-by-step guideStep 1The first step is to set up our division problem with the divisor on the left side and the dividend on the right side, like we have it below:
__
3| 10
Step 2We can work out that the divisor (3) goes into the first digit of the dividend (1), 0 time(s). Now we know that, we can put 0 at the top:
_0_
3 | 10
Step 3If we multiply the divisor by the result in the previous step (3 x 0 = 0), we can now add that answer below the dividend:
_0_
3 | 10
0
Step 4Next, we will subtract the result from the previous step from the second digit of the dividend (1 - 0 = 1) and write that answer below:
___
3 | 10
- 0
__
1
Step 5Move the second digit of the dividend (0) down like so:
__0_
3 | 10
- 0
-----------
10
Step 6The divisor (3) goes into the bottom number (10), 3 time(s), so we can put 3 on top:
__03_
3 | 10
- 0
___
10
Step 7If we multiply the divisor by the result in the previous step (3 x 3 = 9), we can now add that answer below the dividend:
_03_
3 | 10
- 0
__
10
9
Step 8Next, we will subtract the result from the previous step from the third digit of the dividend (10 - 9 = 1) and write that answer below:
__03_
3 | 10
- 0
__
10
-9
_
1
So, what is the answer to 10 divided by 3?Your answer is the top number, and any remainder will be the bottom number. So, for 10 divided by 3, the final solution is:
3 - Remainder 1Extra calculations for you:Using a calculator, if you typed in 10 divided by 3, you'd get 3.3333.You could also express 10/3 as a mixed fraction: 3 1/3If you look at the mixed fraction 3 1/3, you'll see that the numerator is the same as the remainder (1), the denominator is our original divisor (3), and the whole number is our final answer (3).
A small bag of trail mix contains 3 cups of dried fruit and 4 cups of almonds. A large bag contains $4 1/2 cups of dried fruit and 6 cups of almonds. Write and solve a system of linear equations to find the price of 1 cup of dried fruit and 1 cup of almonds. Let f represent the price of one cup of dried fruit and let a represent the price of one cup of almonds.What is the equation for the small bag and the large bag.
Answer:
Let's call:
f = price of 1 cup of dried fruit
a = price of 1 cup of almonds
In order to build the linear system, you need to consider that the total price of a bag is given by the sum of the price of cups times the number of cups in each bag, therefore:
Solve for a in first equation:
a = (6 - 3f) / 4
Then substitute in the second equation:
41/2 f + 6 · (6 - 3f) / 4 = 9
41/2 f + 9 - 9/2 f = 9
16 f = 0
f = 0
Now, substitute this value in the formula found for a:
a = (6 - 3·0) / 4
= 3/2 = 1.5
Hence, the cups of dried fruit are free and 1 cup of almond costs 1.5$
Step-by-step explanation: