Answer:
99
Step-by-step explanation:
2+5, ∈ℤ
=2+7+12+⋯+97
This is AP with =2,=5,
th term is given by =+(−1)
97=2+(−1)5⟹=20
So sum of such integers,
20=202(2+97)=990
The sum of whole number that are less than 100 and leave reminder 2 when divided by 5 is 990.
What is Arithmetic Progression?A series in which the differences between each pair of following terms are the same is known as an arithmetic progression.
An arithmetic progression is a sequence in which every phrase—aside from the initial term—is created by multiplying the previous term by a predetermined amount.
Given:
We have to find the sum of number that are less than 100 and leave reminder 2 when divided by 5
So, we get the sequence
2, 7, 12, ................97
=2+7+12+⋯+97
This is AP with =2,=5,
So, l= a+( n-1)
97= 2+ (n-1)(5)
95 = 5(n-1)
n-1 = 95/5
n-1 = 19
n= 19 + 1
n=20
Now, the sum is
[tex]S_{20}[/tex] = 20/2( 2 x 2+ (20 - 1 )(5))
= 10( 4 + 19(5)
= 10 (99)
= 990
Hence, the sum is 990.
Learn more about Arithmetic Progression here:
https://brainly.com/question/16947807
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Simplify
6(-5n + 7 thank you
Answer:
-30n + 42
Step-by-step explanation:
6( -5n + 7)
-30n + 42
Hope this helps!
Help plz:)))I’ll mark u Brainliest
Answer:
The answer to the question provided is 14.4 ft.
Step-by-step explanation:
We can solve this using proportion!
[tex] \frac{18}{x} = \frac{10}{8} \\ \\ \frac{10x}{10} = \frac{144}{10} \\ \\ x = 14.4[/tex]
Leslie leaves her house and drives to another city for her
sister's wedding. She drives 77 miles north and then 420
miles east. How far is Leslie from her house? HELP PLEASE
Answer:
Step-by-step explanation: You have to add the number
420
+77
497
Question 5 (1 point)
Find the area of the shaded region of this regular polygon. (Round to the nearest
hundredth)
Lol I need help agin
Step-by-step explanation:
7
b²=√218²-13²
=218-169
=49
=√49
=7
If a Swoog can Swig, and a Swig can Swoog, can a Swoog Swig, a Swig Swoog?
A) Fire Truck
B) Croissant
C) Yes
D) Computerized Beard Foundation
Answer:
C. yes loll :P
Step-by-step explanation:
Hav a good day
Answer:
Yes?
Step-by-step explanation:
Help please extra points
Answer:
The answer to the question provided is letter c.
How many proper subsets does the set T= {x,y,z} have?
Answer:
Total Proper Subsets = 2ⁿ - 1 = 2³ -1 =8-1 =7
Step-by-step explanation:
Basically the formula for,
No of subsets = 2ⁿ
Where n is number of elements in a set. As one subset is improper which is equal to the set itself so we have to find proper subsets which are = 2ⁿ - 1.
pls help me, i’ll give brainly
Answer/Step-by-step explanation:
First, find the slope (m) of Line L using the points (0, 5) and (2, 1):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 5}{2 - 0} = \frac{-4}{2} = -2 [/tex]
Slope (m) = -2
✔️Since the line is parallel bro Line L, it would also have the same slope value of -2.
We can use the slope (m) and a point (a, b) of the line to find its equation using the point-slope formula, y - b = m(x - a).
Substitute (a, b) = (3, 0), and m = -2 into y - b = m(x + a):
Thus,
✅y - 0 = -2(x + 3)
Rewrite equation in slope-intercept form
y = -2(x + 3)
✅y = -2x - 6
SUP= 125 UPE=110 SRE=85 find SUR
Answer:
m∠SUR = 15°
Step-by-step explanation:
m∠UPE = 110°
m∠UPR = m∠EPR [Given]
m∠UPR = [tex]\frac{1}{2}(m\angle UPE)[/tex]
= [tex]\frac{1}{2}(110)[/tex]
= 55°
Since, m∠SRU = m∠UPR [Given in the picture]
m∠SRU = 55°
m∠SRE = m∠SRU + m∠URP + m∠PRE
85° = 55° + m∠URP + m∠PRE
m∠URP + m∠PRE = 30°
Since, m∠URP = m∠PRE
m∠URP + m∠URP = 30°
m∠URP = 15°
Since, m∠URP = m∠SUR [Given in he picture]
m∠SUR = 15°
carlos put a total of 1/8 lb of gravel into 6 fishtanks he put the same amount of gravel into each tank how many pounds of gravel did carlos put into each fish tank
Answer:
(1/8) / 6 =
1/8 * 1/6 =
1/48 of a lb per fish tank <==
plz give brainlest
Step-by-step explanation:
The length of a rectangle is eight more than twice its width. The perminiter is 96 feet . find the deminsions. With the variable, equation, and solution.
Step-by-step explanation:
lenght = x + 8
width = x
[tex]perimeter = 2(x + 8) + 2(x) \\ 96= 2x + 16 + 2x \\ 4x = 96 - 16 \\ x = \frac{80}{4} \\ x = 20[/tex]
then
Lenght = x + 8 = 20 + 8 = 28
Width = x = 20
Step-by-step explanation:
L=8+2W
P=2L+2W
P=2(8+2W)+2W
P=16+4W+2W
P=16+6W
P=96
96=16-6W
80=6W
W=13.3333
Dean purchased a box of cereal Which of these measurements BEST describes the volume of the box?
1.)154 cubic feet
2.)154 cubic inches
3.)154 cubic meters
4.)154 cubic millimeters
Answer:
2
Step-by-step explanation:
You don't measure cereal in the others because feet, meters and millimeters are too big. Hope this helps.
Find the x and y intercept of y = 5x - 2. Random answers will be reported. Who ever answers right first will be marked brainlest.
Answer: x intercept is 2/5, and y intercept is -2
Step-by-step explanation:
Bascially when your solving for x intercept, substitute 0 for y, then for this equation u get 0=5x-2, which is equal to 5x=2, so the x intercept is 2/5. You do the same thing for y intercept, so substitute 0 for x this time, then you'd get y=-2.
Four sisters are all 2 years apart in age. The
total of their ages is equal to 36 years. How
old is the youngest sister
The equation that represents the age of the youngest sister is 4x + 12 = 36. Then the age of youngest sister will be 6 years old.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The four sisters are all 2 years apart in age. The total of their ages is equal to 36 years.
Let x be the age of the youngest sister. Then the age of other sister will be x + 2, x + 4, and x + 6. Then the equation is given as,
x + x + 2 + x + 4 + x + 6 = 36
4x + 12 = 36
4x = 36 - 12
4x = 24
x = 24 / 4
x = 6
The equation that represents the age of the youngest sister is 4x + 12 = 36. Then the age of youngest sister will be 6 years old.
More about the Algebra link is given below.
https://brainly.com/question/953809
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A rectangular lawn has a perimeter of 15.8 meters and the length is 3.1 meters longer than the width. What are the dimensions of the lawn? If the width of the fixture is w meters, find w to one decimal place.
Answer:
w is 4.8 meters
Step-by-step explanation:
-perimeter is 15.8 m so all the sides of the rectangle adds up to 15.8.
- a rectangle has 2 sets of equal sides.
-first, do 3.1 times 2 to get the length of the first set of equal sides. This equals to 6.2.
-now 15.8 - 6.2 = 9.6 meters
- 9.6 divided by 2 to find the width, as well as the measurements of the second set of equal sides.
the width, w, is 4.8 meters.
PLEASE HELP WITH THIS I NEED TO PASS
Answer:
x = 0.1875
Step-by-step explanation:
first, you group up all of the same numbers or letters. (2x +2x)
then you solve the problem:
2x ^2 = 2x - 3
4x^2 = -3
16x = 3
16 16
x = 0.1875
12- (-5) + (-4 ) calculate
Find the perimeter and area of a rectangle with the following length and breadth:
i. L = 10.5m, B = 5.5m
ii. L = 15cm B = 6.8cm
Answer:
perimeter: 2(l+b) , area : multiply by breadth
Step-by-step explanation:
perimeter: 2(10.5+5.5)
:206.5m ans
area: 10.5multiply bye 5.5
:57.75m ans
2: perimeter: 2(15+6.8)
: 36.8cm ans
area : 15 multiply by 6.8
: 102cm ans
Jane drove 693 miles in 11 hours.
At the same rate, how long would it take her to drive 411 miles?
Answer:
approx. 6.523809523809524 hours
Step-by-step explanation:
Let us first find how long it takes Jane to drive 1 mile.
11/693 = approx. 0.015873015873016 hours to drive one mile.
She drives 411 miles, so we can multiply that by 411:
0.015873015873016 * 411 = approx. 6.523809523809524 hours
I hope this helps! :)
Answer:
6.52 hours
Step-by-step explanation:
693 miles divided by 11 hours = 63 miles per hour.
411 miles divided by 63 miles = 6.52380952 miles
Round to 2 decimal places: 6.52 hours
Consider the following functions.
f(x) = 3/x, g(x) = x/(x + 3)
Find
(f ∘ g)(x).
Find the domain of
(f ∘ g)(x).
(Enter your answer using interval notation.)
Find
(g ∘ f)(x).
Find the domain of
(g ∘ f)(x).
(Enter your answer using interval notation.)
Find
(f ∘ f)(x).
Find the domain of
(f ∘ f)(x).
(Enter your answer using interval notation.)
Find
(g ∘ g)(x).
Find the domain of
(g ∘ g)(x).
(Enter your answer using interval notation.)
Answer:
umm
Step-by-step explanation:
Help plz:)))I’ll mark u Brainliest
Determine if the two triangles are congruent. If they are, state how you know.
Answer:
There is not enough information to say they are congruent
Step-by-step explanation:
To prove two triangles are congruent, you need 3 things, which you can see through the list of options you were given. But since we only have two, there isn't enough information to prove the are congruent.
solve for x x−6/9=−5
x=
Answer:
4 4/9
Step-by-step explanation:
Move all terms not containing x
to the right side of the equation.
Exact Form:
x=−409
Decimal Form:x=−4.¯4
Mixed Number Form:
4 4/9
Answer:
-39
Step-by-step explanation:
x-6/9 = -5
then multiply both sides by 9
9 ° (x-6) / 9 = 9 ° -5
simplify
x-6= -45
add 6 to both sides
x-6+6=-45+6
simplify
x= -39
Look at the table.
Cars Sold
Annual Bonus
120
$1,800
130
$1,950
150
$2,250
175
$2,625
What is the annual bonus for a salesperson who sells 55 cars?
$150
$825
$1,500
$8,250
Answer: $825 (B)
Step-by-step explanation:
it’s obvious
Answer: The answer is B!
Step-by-step explanation: It's on edge, hope this helped!
write an inequality for the following, more than 2,500 people can attend the convention
Answer:
a
Step-by-step explanation:
Find the value of x.
92°
36°
Answer: the answer is 7°
Step-by-step explanation:
PLS help whats 800000000.0%x9000000.0%=p\
Answer: 720,000,000,000
Step-by-step explanation: Find your answer by multiplying the 2 percent's.
Let p, equal percent.
800000000.0%x9000000.0% = p
800000000.0%x9000000.0% = 720,000,000,000
720,000,000,000 = p
Marion is driving between two towns that are close together. If she drives 1⁄5 the trip in 15 minutes, what is her rate per hour?
Answer:
4/5 in one hour
Step-by-step explanation:
15 minutes is 1/4 of an hour so all you need to do is multiply one 1/5 by four
tell me if im wrong plz
Answer:
4/5 in one hour
Step-by-step explanation:
PLEASE HELP
Simplify the expression 5^3+3(5-3)
A.137
B.131
C.27
D.21
Answer:
the correct answer is 131
Step-by-step explanation:
5^3 +3(2)
= 125 +6
=131
CUCU
3) Which function represents the sequence? 45, 40, 35, 30, 25,-
OA) f(x) = 45x -5
OB) f(x) = 45 - 5(x - 1)
OC) f(x) = 5 - 45(x - 1)
OD) f(x) = 5x + 45
Save
Not Graded
AEDc0
9:28 AM
116/2021
1
Answer:
B
Step-by-step explanation:
well, the sequence are in the form
[tex]a1, a2, a3, a4, a5, ... , an[/tex]
a1 = first term = 45
you can plug 1 to any of the option
and ended with B the only function that satisfies what we need