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:
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What is the value of x, given that f, g, and h are parallel to each other?
Answer:
B)2Step-by-step explanation:
to understand thisyou need to know about:parallel linesPEMDASlet's solve:since f || h the length of two lines have to be equal
according to the question:
11x=7x+811x-7x=84x=8x=8/4hence,
x=2Select 5.3125 as a mixed number in simplest form
three pounds of flour cost $1.65. how much flour do you get per dollar? round your answer to the nearest hundredth.
Answer:
1.8181818181818181 etc., which rounds to 1.82
Step-by-step explanation:
1.65/3 = 1/x
3/1.65
We get 1.80 pounds of flour for 1 dollar.
What is unitary method ?Unitary method is a mathematical technique for first deriving the value of a single unit then deriving any given unit from it.
Suppose we know one mango costs 4 dollars so 20 mangoes will cost (4×20) dollars = 80 dollars.
According to the given question three pounds of flour cost 1.65 dollars.
So, One pound of flour will cost (1.65/3) dollars which is
= 0.55 dollars.
In 1 dollar we will get (1/0.55) pounds of flour which is
= 1.81 pounds.
Rounding 1.81 to nearest hundredth will be 1.80 as the rightmost digits is than 5.
learn more about unitary method here :
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Graph
y + 4 = 2/5 (x − 3)
Answer:
Y= 2/5x - 23
Step-by-step explanation:
Firstly:
Move the 1/5 to the other side of the equation
So
5(y+4) =2(x-3)
Secondly:
Expand the brackets
5y +20 = 2x-3
Thirdly:
Solve
5y= 2x - 3-20
5y=2x-23. (Divide by five both sides)
Y= 2/5 x - 23 (Straight line graph)
To plot the graph:
First create a table of values
For x coordinates and y coordinates
Put the points in the graph and match
Bryanna is thinking of two numbers. Their sum is −7. One of the numbers is 11. Write an
equation and solve to find the other number.
Answer:
-18 is the answer please brainlist
Step-by-step explanation:
500+100 = ?? A700 B800 C600
Answer:
C
Step-by-step explanation:
Add the hundreds together
Answer: 500+100=600
Step-by-step explanation:
Help due in 30 min!!!!!!!!!!!!!!!
Answer:
b. - 1/4
Step-by-step explanation:
Start at the point highest on the line(3,4). Subtract the x value of the second point, from the x value of the first point.(3-7) Then do the same with the y values.(4-3) This gives you x=-4and y= 1. Slope= y/x, so you get -1/4
Find the nth term of
1x2x3+2x5x6+3 x 4x
Answer:
66+12x
Step-by-step explanation:
1x2x3+2x5x6+3x4x
6+60+12x
66+12x
Suppose that $2000 is invested at a rate of 2.6 %, compounded quarterly Assuming that no withdrawals are made the amount after 8 years
Which of the following equations was used to graph the line shown pls help
Point D (-5, 3) and point E (6, -2) are located on a coordinate grid.
Which measurement is the best representation of the distance between point D and point E in units?
Answer:
Rounding to the nearest number, the answer would be 12 units
Step-by-step explanation:
I hope this helped! Please mark me as brainliest if you can!
The following stemplot displays the number of forest fires (the stem is in tens of thousands) that occurred each year over the period from 1980 to 2012.
4 | 024477889
5 | 001222234477888
6 | 02378
7 | 348
How many data values are in this data set?
Answer:
32 values
Step-by-step explanation:
Given the stem. Plot :
STEM ___ Leaf
4 | 024477889
5 | 001222234477888
6 | 02378
7 | 348
The data values include the stem with each value in the leaf : Hence, the number of data points is the number of values in the leaf of the stem plot.
The values are :
40, 42, 44, 44, 47, 47, 48,48, 49
50, 50, 51, 52,52, 52, 52, 53, 54, 54, 57, 57, 58, 58, 58,
60, 62, 63, 67, 68
73, 74, 78
5. Carolina drives on I95 for 90minutes (1.5hr) going 45mi/hr. How far did she get?
Answer:
67.5 miles far
Step-by-step explanation:
Which statement is most likely to be true for this distribution?
A. The mean is the same as the median.
B. The mean is less than the median.
C. The mean is greater than the median.
Answer:
B. The mean is less than the median.
Step-by-step explanation:
Calculate the mean: 2.8
Calculate the median: 3
Therefore, the mean is less than the median.
Which expression is equivalent to w4−25w2+144
?
(w2+9)(w2−16)
(w−3)(w+4)(w−3)(w−4)
(w−3)(w+3)(w2−16)
(w2−9)(w2+16)
Just answer Number 5, I got the rest.
Any spam will be reported/deleted.
Answer:
30
Step-by-step explanation:
so one of them is 90, one of them is 60
180-150 = 30
so 30
NAME
7. Factor each quadratic expression,
Step-by-step explanation:
x² - 2x - 35 = (x - 7)(x + 5).
x² + 3x - 54 = (x + 9)(x - 6).
x² - 4x + 4 = (x - 2)².
x² - 121 = (x + 11)(x - 11).
2x² + x - 15 = (2x - 5)(x + 3).
6x² - 7x - 24 = (3x - 8)(2x + 3).
3x² - 10x + 8 = (3x - 4)(x - 2).
10x² + 9x - 9 = (5x - 3)(2x + 3).
12x² + 25x + 12 = (4x + 3)(3x + 4).
15x² - x - 6 = (5x + 3)(3x - 2).
Mrs. Fuller is trying to organize all of her children's toys into a large toy box. Each toy
has the dimensions of 4 inches x 3 inches x 3 inches. The toy box measures 4 feet x 2
feet x 3 feet. How many toys will be stored in the large toy box?
Answer: 1,152 toys can be stored in the box.
Step-by-step explanation:
For an object with measures L (length) by W (width) by H (height) the volume is calculated as:
V = L*W*H
We know that the measures of each toy are: 4in x 3in x 3in
Then the volume of each toy is:
V = 4in*3in*3in = 36in^3
The toy box is 4ft x 2ft x 3 ft
First we should write the measures in the same units as before, we know that:
1ft = 12 in.
Then:
4ft = 4*12 in = 48 in
2ft = 2*12in = 24in
3ft = 3*12in = 36in
Then the measures of the box are:
48in x 24in x 36in
Then the volume of the box is:
V = 48in*24in*36in = 41,472 in^3
Now, the number of toys that can be stored in the box is the same as the number of times that 36in^3 is in 41,472 in^3
this is equal to the quotient between 41,472 in^3 and 36in^3
N = 41,472 in^3/36in^3 = 1,152
1,152 toys can be stored in the box.
Dan says that all quadrilaterals are parallelograms. Tom says that it is not true. Explain who is correct??
Answer:
Tom is correct
Step-by-step explanation:
Quadrilaterals are polygons that have four sides.
Square, rectangle, parallelogram, kite, rhombus are all examples of quadrilateral
Parallelogram is a type of quadrilateral with opposite sides equal and parallel
4 pounds of grapes cost $11.52. what is the unit rate?
Answer: 2.88/1
Step-by-step explanation:
What is the inequality represented by this graph? (pls help its worth 30 points and ill give brainliest if ur correct :D)
Answer:
You're supposed to start at the zero
How will increasing her salary affect the median and mean ?
Answer:
Her increasing the salary will mean
Step-by-step explanation:
what is the point of this
Answer:
B and I are both coplanar
Step-by-step explanation:
1/2x+3=2x is...
a)x=6
b)x=4
c)x=2
d)x=1
Solve for g.
3(q - 7) = 27
g=
Answer:
Step-by-step explanation:
Here you go mate
Step 1
3(q-7)=27 Equation
Step 2
3(q-7)=27 Simplify
3q-21=27
Step 3
3q-21=27 subtract +21
3q=48
Step 4
3q=48 Divide
answer
Q=16
Hope this helps
A figure is created by using four semicircles and a rectangle. which is closest to the area of the figure?
Step-by-step explanation:
area of rrctangle:
12×8= 96cm²
now if rectangle dissapears and then we "glue" what's left, we gonna get two circles
area of circle which gas diameter of 12cm( so radius will be 6cm)will be
πr²=36π≈113.04
another circles radius is 4cm,so area is:
16π≈50.25
sum of all areas: S≈96+113.04+50.25≈259.28cm2
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!
The line y= -0.5x+b passes through the points (1,5,5), (3,p), (4,4),and (7,n) Find b,n,and p
Answer:
b = 6 n = 2.5 and p = 4.5
Step-by-step explanation:
had the same question
The value of the variables b, p, and n will be 6, 3.5, and 2.5, respectively.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The equation of the line is given below.
y = -0.5x + b
The line is passing through (4, 4), then the value of b will be
4 = -0.5 × 4 + b
4 = - 2 + b
b = 4 + 2
b = 6
Then the equation will be
y = - 0.5x + 6
The equation is passing through (3, p), then the value of p will be
p = -0.5 × 3 + 6
p = - 1.5 + 6
p = 3.5
The equation is passing through (7, n), then the value of n will be
n = -0.5 × 7 + 6
n = - 3.5 + 6
n = 2.5
Then the value of the variables b, p, and n will be 6, 3.5, and 2.5, respectively.
More about the linear equation link is given below.
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What is the last digit of 777^777?
Answer:
7 I. guessing oh wait nah its fish
n +8<-2 or 8+ n > 5
I’m supposed to solve and graph this compound which I did but I’m not sure if it’s correct or not it’s after school hours and I’m not allowed to contact my teacher
I got n<-10 Or n>-3
I just want to know if I did this correct please? Sorry for the messy handwriting in the picture
Answer:
the first one n + 8 < -2 is correct, the second one is correct too, but its just the graph that is wrong. n > -3, since its greater, it should increase in number, so the line would go toward the right, the opposite direction you drew down.
Step-by-step explanation:
Hope this helps