Answer:
3x
--------
9
Step-by-step explanation:
What is the perimeter of a quadrilateral with measurements of 19 ft, 10 ft, 17 ft, and 8 ft?
I need help
Answer:
54ft
Step-by-step explanation:
To find perimeter the formula is A + B + C + D
So, 19 + 10 + 17 + 8 = 54ft
In an AP. 19th term is 52 and 38th term is 128. Find the sum of the first 56 terms.
19th term of an AP = 52
38th term = 128
Find:the sum of the first 56 terms
Solution:We know that,
nth term of an AP – a(n) = a + (n - 1)d
Hence,
→ a + (19 - 1)d = 52
→ a + 18d = 52 -- equation (1)
Similarly,
→ a + (38 - 1)d = 128
→ a + 37d = 128 -- equation (2)
Subtract equation (1) from (2).
→ a + 37d - (a + 18d) = 128 - 52
→ a + 37d - a - 18d = 76
→ 19d = 76
→ d = 76/19
→ d = 4
Substitute the value of d in equation (1).
→ a + 18 * 4 = 52
→ a = 52 - 72
→ a = - 20
We know,
Sum of first n terms of an AP – S(n) = n/2 * [ 2a + (n - 1)d ]
Hence,
→ S(56) = 56/2 * [ 2 (- 20) + (56 - 1) * (4) ]
→ S(56) = 28 * [ - 40 + 55 * 4 ]
→ S(56) = 28 * [ - 40 + 220 ]
→ S(56) = 28 * (180)
→ S(56) = 5040
Hence, the sum of first 56 terms of the given AP is 5040.
I hope it will help you.
Regards.
The sum of the first 56 terms of the given AP is 5040.
What is an arithmetic progression?The sequence in which every next number is the addition of the constant quantity in the series is termed as the arithmetic progression. A number series is a number-based sequence. In the number series questions, we must identify the rules that lead to the formation of a number series.
Given that in an AP. 19th term is 52 and 38th term is 128.
nth term of an AP – a(n) = a + (n - 1)d
a + (19 - 1)d = 52
a + 18d = 52 -- equation (1)
Similarly,
a + (38 - 1)d = 128
a + 37d = 128 -- equation (2)
Subtract equation (1) from (2).
a + 37d - (a + 18d) = 128 - 52
a + 37d - a - 18d = 76
19d = 76
d = 76/19
d = 4
Substitute the value of d in equation (1).
a + 18 * 4 = 52
a = 52 - 72
a = - 20
Sum of first n terms of an AP – S(n) = n/2 * [ 2a + (n - 1)d ]
S(56) = 56/2 * [ 2 (- 20) + (56 - 1) * (4) ]
S(56) = 28 * [ - 40 + 55 * 4 ]
S(56) = 28 * [ - 40 + 220 ]
S(56) = 28 * (180)
\S(56) = 5040
Hence, the sum of the first 56 terms of the given AP is 5040.
To know more about arithmetic progression follow
https://brainly.com/question/6561461
#SPJ2
Tim cuts 4 pieces of wood, measuring 2.75 feet each, from a board that is 12.4 feet in length.
What is the length, in feet, of the amount of board remaining after Tim makes the cuts?
Answer: 12.4
Step-by-step explanation:
Use the given functions to set up and simplify
12.4
feet.
4=2.75 feet=20.31990427 ft12.4 feet=91.62429562 ft
Answer:
1.4 feet
Step-by-step explanation:
2.75 times 4 = 11
11 is the total length of the boards cut
12.4 - 11 = 1.4
I hope this helps :))
Is the trend line linear? If so, write a linear equation that represents the trend line. Show your work.
A graph showing the fat and calories content has increased in the number of calories with the increasing number of fat.
A linear trend is the best fit straight line that is showing a positive relationship as it's going upwards. As the plotted residues represent a line that is almost straight and these data points resemble a line. This trend shows an increase in the data correlation. For example, the increased in distance will lead to an increase in time and this can be positively correlated within the graph. The equation of y = MX + b and y = 10x + 0 for a and b.Thus the graph shows a linear trend and in increasing order.
Learn more about the Is the trend line linear.
brainly.com/question/20309786.
Answer:
The equation is "Y = 56.36*X + 56.47"
Step-by-step explanation:
The form of the equation is y=mx+b, m = slope and b = intercept.
You have to find the slope of the trend line or you can use the plot points, but identifying the slope in the trend line is much easier.
It seems there are two points that are outliers and need no paying attention to, this is because outliers can make predictions unreliable and also make the trend line unreliable overall as well.
Have a Jocular day.
If point K is the midpoint of JL, what are the
coordinates of endpoint J?
(6,-5)
(-6,7)
(0, 1)
(-4,5)
Nicole is making tuna salad for her office colleagues. It takes 2/5 of a pound of canned tuna to make 5 portions of salad. She uses 1 1/5 pounds of canned tuna for every 2 onions used. If Nicole uses a total of 4 onions, then how many portions of salad does she make?
Answer:
30 portions of salad
Step-by-step explanation:
Given that :
2/5 pounds of canned tuna = 5 portions of salad
For every 2 onions used, 1 1/5 pounds of canned tuna is used ;
Number of onions used = 4
If 4 onions were used, number of canned tuna used is ;
4 /2 * 1 1/5
= 2 * 1 1/5
= 2 * 6/5
= 12 / 5 = 2 2/5 pounds of canned tuna
Number of Portions of salad made :
2/5 pounds = 5 portions of salad
12/5 pounds = x
2/5 * x = 12/5 * 5
2/5x = 60 /5
2/5 x = 12
x = 12 ÷ 2/5
x = 12 * 5 /2
x = 60/2
x = 30 portions of salad
Point M (3,-2) is the midpoint of AB. If the coordinates of A are (-1, 4) then find the coordinates of point B.
Answer:
C (7, -8)
Step-by-step explanation:
It takes 3 eggs to bake 36 cupcakes. How
many eggs does it take to bake 48 cupcakes?
Answer:
5 eggs
Step-by-step explanation:
What’s the slope?
( “M”only)
Answer:
slope (m) = [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
Find the slope by using the following equation:
slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let:
([tex]x_1 , y_1[/tex]) = (1 , 2)
([tex]x_2 , y_2[/tex]) = (7 , 7)
Plug in the corresponding numbers to the corresponding variables:
slope (m) = [tex]\frac{7 - 2}{7 - 1} = \frac{5}{6}[/tex]
slope (m) = [tex]\frac{5}{6}[/tex]
~
[tex] \LARGE{ \underline{ \purple{ \bf{Required \: answer:}}}}[/tex]
We can find the slope (m) by using the formula:
[tex] \rm{m = \dfrac{y2 - y1}{x2 - x1} }[/tex]The points given to us:
(x1 , y1) = (1 , 2)(x2 , y2) = (7 , 7)Plugging the given values of x1, y1, x2 and y2 to find the slope:
[tex] \rm{m = \dfrac{7 - 2}{7 - 1} }[/tex]
This is equals to,
[tex] \rm{m = \dfrac{5}{6} }[/tex]
And this is our required result....
#CarryOnLearning
somebodyy plss help its due tdyy
Answer:
A
Step-by-step explanation:
8/2=4
4-3=1
12/2=6
6-3=3
18/2=9
9-3=6
20/2=10
10-3=7
Answer:
Wait, i think it should be A
Step-by-step explanation:
graph for 100 points
Answer:
yeah
Step-by-step explanation:
You are selling tickets for a high school football game. Student tickets cost $3 and general
admission tickets cost $5. You sell 350 tickets and collect $1450. How many of each type of
ticket did you sell?
Answer:admission tickets - 200, and student tickets- 150
Step-by-step explanation:
200x5=1,000 and 150x3=450, therefore 1,000+450=1,450
hope this helps and good luck :)
9x+4=6x + 6
I need to find x please help
Answer:
x = 2/3
Step-by-step explanation:
9x + 4 = 6x + 6
Subtract 4 from both sides
9x + 4 - 4 = 6x + 6 - 4
9x = 6x + 2
Subtract 6x from both sides
9x - 6x = 2
3x = 2
Divide both sides by 2
3x/3 = 2/3
x = 2/3
Answer:x=2/3
Step-by-step explanation:
I looked it up on google
Help asapp find the slope and the parallel slope
Answer:
rise= -4
run= 2
so rise over run is -4/2 = -2
If there are 60000 pies on the counter and peter eats 90 of them how much pies will be left on the counter and please actually answer! :(
A - 52648
B - 9038
C - 59910
D - 10009
Answer:
C or 59910 I hope you get it right
Step-by-step explanation
What value of n makes
(5^n)(5^2)=5^16 true?
Answer:
14
Step-by-step explanation:
By following the exponent rule, when multiplying two numbers of the same term with exponents, you simply add them together.
Therefore, to make (5^n)(5^2)=5^16 true, n must equal 14 since:
14 + 2 = 16
Answer:
n = 14
Step-by-step explanation:
Recall the rule:
[tex] a^m \times a^n = a^{m + n} [/tex]
[tex] (5^n)(5^2) = 5^{16} [/tex]
[tex] (5^n)(5^2) = 5^{n + 2} = 5^{16} [/tex]
[tex] n + 2 = 16 [/tex]
[tex] n = 14 [/tex]
You went to Target to buy a new Chromebook for $189.99. It is on sale for 25% off. How much are you paying for the Chromebook? Show your work.
Answer:
$142.50
189.99/4 = 47.49
189.99 - 47.49= 142.40
This is the answer if my math is correct.
Which number is divisible by both 3 and 9?
A) 21,369
OB) 27,621
OC) 27.629
OD) 36.663
Answer:
boi just use a claculator
Step-by-step explanation:
bye luve
Answer: A 21,369
Explanation I got it right on the test :)
On certain highways, the speed limit is 75 miles per hour. At this rate, how far would you travel in 2.5 hours?
Answer:
187.5 miles
Step-by-step explanation:
75 × 2.5 = 187.5
Find the 22nd term of the following sequence:5, 8, 11,
step by step gets brainliest
Answer:
68
Step-by-step explanation:
5,8,11,14,17,20,23,26,29,32,35,38,41,44,47,50,53,56,59,62,65,68
Tony’s Pizzeria customers were asked what kind of pizza topping they prefer. Tony learned that 20 customers selected pepperoni, 12 selected mushrooms, and 8 selected pepperoni and mushrooms. What is the probability that a randomly selected customer selected pepperoni but not mushrooms?
A.1/2
B.2/5
C.3/5
D.3/8
Answer:
A. 1/2
Step-by-step explanation:
First, find how many customers there were:
20 + 12 + 8
= 40
20 customers selected pepperoni only, so to find the probability that they chose pepperoni but not mushrooms, divide the amount by the total:
20/40
= 1/2
So, the probability is 1/2
Find the area. Simplify your answer.
Answer:
area = x² - 7x
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 2x and h = x - 7 , thus
A = [tex]\frac{1}{2}[/tex] × 2x(x - 7) = x(x - 7) = x² - 7x
Answer:
a=x^2-7x
Step-by-step explanation:
a=1/2bh
a=1/2(x-7)(2x)
a=1/2(2x^2-14x)
a=x^2-7x
Consider the equation f(x)=(x+1)^3−3
Which point does NOT lie on the graph of y=f−1(x)
(−4, −2)
(−1, −3)
(5, 1)
(24, 2)
Answer:
(3, - 4 )
Step-by-step explanation:
Given a point (x, y ) on the graph of y = f(x) then the corresponding point on the inverse function is (y, x ), thus
(- 4, 3 ) is a point on f(x), then
(3, - 4 ) is the corresponding point on (x)
Hope this helps pls give me brainiest if i got tt right
Determine which of the lines are parallel and which of the lines are perpendicular. ROW1 Parallel Perpendicular DRAG & DROP THE ANSWER Lines c and d Lines a and c Lines a and b Lines b and c
Answer:
a & b are parallel to each other. c and d are also parallel to each other
a & c are perpendicular; b and c are also perpendicular
Explanation: Perpendiculars are when two lines meet to make a 90 degrees right angle. Parallel are two lines that never meet at all. Instead, they have the same distance apart across . Think about it as two different streets.
Can someone help me please!!!!!!!!!!
Assignment
Active
Applying the Square Root Property to Solve Quadratic
Equations
Given (x-7)2 = 36, select the values of x.
X=13
Given (x - 1)2 = 50, select the values of x.
X49
X=1
X 51
X X-29
X = 42
*-1SNE
*-1-5
COMPLETE
RETRY
Answer:
Step-by-step explanation:
For the first part:
[tex](x-7)^2=36\\\sqrt{(x-7)^2}=\sqrt{36}\\[/tex]
(x-7)=±6
so lets take +6 first
x-7=6
x=6+7
x=13
now lets take -6
x-7=-6
x=-6+7
x=1
For the second part:
[tex](x-1)^2=50\\\sqrt{(x-1)^2}=\sqrt{50}\\[/tex]
x-1=±7.07
so lets take +7.07
x-1=7.07
x=7.07+1
x=8.07
now lets take -7.07
x-1=-7.07
x=-7.07+1
x=-6.07
Answer:
A and B
Step-by-step explanation:
plz help with this -5/7x - 8/21x + 1/3x
Answer:
-68
Step-by-step explanation:
jamie is going to the zoo he has to pay 10$ to enter and then 5$ for any snacks that he will want after arriving write an equation slope -intercept form to model this situationp
Last Friday, Tyler had $29 in his wallet. Over the weekend, he received some money for raking
his neighbor's leaves. He now has $41. How much money did he receive for raking leaves, m=
?
41-29=12?? if it is asking for the total amount he received
6 Dollars if it is asking for how much he received per day
-88=-8y i dont get it
Answer: Y=11
Step-by-step explanation: If you divide -8 into -88, you get 11. You can also check buy doing 11 times -8