What is the sum of all integers that are multiples of 4 from 1 to 150? *Show your solution*
Answers
There's a pretty simple formula to follow: count of multiples [tex]*[/tex] average of the multiple.
To find the average, we take the smallest multiple of 4 which is in the range of 1 and 150 which is 4 of course. And the largest would be 148 since that's the only number in the range. So now average them: [tex]\frac{4 + 148}{2} = \frac{152}{2} = 76[/tex]
Now we find the count of the multiples which is in the range of 1 to 150. To do that, we use this formula:
[tex]\frac{\text{largest multiple} - \text{smallest multiple}}{n} \\[/tex]
Here, [tex]n[/tex] is 4 so this would be:
[tex]\frac{148-4}{4} = \frac{144}{4} = 36[/tex]
This would give you the exclusive count of all the numbers, but we want the inclusive count so, we simple add 1 so the count would be [tex]37[/tex]
Now following the 1st formula we get: [tex]37 * 76 = 2812[/tex]
So the answer would be 2812! :D
And here's the check too:
Related Questions
Describe the end behavior of a 9th degree polynomial with a negative leading coefficient??
Answers
Answer:
Up left, down right
Step-by-step explanation:
First, polynomials with odd degrees will have end behaviors in two different directions.
Since the leading coefficient is negative, the end behavior will be up left and down right.
So, the end behavior is up left, down right.
The end behavior of a 9th-degree polynomial with negative leading coefficients is up left, downright.
We have to determine
The end behavior of a 9th-degree polynomial with a negative leading coefficient??
What is a negative leading coefficient?If the leading coefficient is negative and the exponent of the leading term is even, the graph falls to the left and right.
What is the equation of 9th-degree polynomial?
The equation of the 9th-degree polynomial is;
[tex]\rm x^9+3x^8+4x^7+x^6+x^5+9x^3+2x^2+x+1=0[/tex]
The degree of the polynomial is 9 which is odd.
Hence, the end behavior of a 9th-degree polynomial with negative leading coefficients is up left, downright.
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In a survey 2800 people who owned a certain type of car, 1820 people said they would want to buy the type of car again. What percent of the people surveyed were satisfied with the car?
Answers
Answer:
65%
Step-by-step explanation:
1820/2800 percent.
(65%)
The unit rate declines on the of people satisfied/ the number of people total.
Hope this helps plz mark brainliest :D
Step-by-step explanation:
1820/2800
=65%
hope this may help you
Bridget, Jim and Krutika share some sweets in the ratio 2:1:1. Bridget gets 24 sweets. How many sweets are there altogether?
Answers
Answer:
48
Step-by-step explanation:
Bridget = 2 x 12 = 24
Jim = 1 x 12 = 12
Krutika = 1 x 12 = 12 ---> 24 + 12 + 12 = 48
I spent $120 shopping for food last week. This week I spent 12% more.
Which expression could be used to find how much I spent on food this
week?
Answers
Answer:
$120*.12= then add the answer to the money amount
Step-by-step explanation:
Answer: 120*1.12
The multiplier 1.12 represents the idea of increasing by 12%
This is because 100% + 12% = 1 + 0.12 = 1.12
For example, if you spend $100 this week and increase that by 12%, then you'll spend 100*1.12 = 112 dollars next week. Note how 12% of 100 is 12, which is the amount the budget goes up.
Find the values of x and y.
X= __
Y= __
Answers
Answer:
x = 20
y = 100
Step-by-step explanation:
To figure out x do this.
3x + 2x = 7x - 40 (collect like terms)
5x = 7x -40 (subtract 7x on both sides)
-2x = -40 (divide by -2 on both sides)
x = 20
Plug in to get y
Since 7x - 40 and y are vertical they equal the same amount
7(20) - 40 = y (multiply 7 by 20)
140 - 40 = y (collect like terms)
100 = y
Hope this helps ya! Keep smiling!
The temperature drops 2°F every hour. Make a table and write an equation to represent the total temperature drop over time.
Answers
what is the slope of the graph?
Answers
Answer:-6
Step-by-step explanation:
You can use the expression 2e+2w to find the perimeter of a rectangle where e is the length and w is the width. Interpret the coefficients of the terms.
Answers
Answer: The coefficient of terms is 2 represents length of 2 equal and opposite sides of rectangle.
Step-by-step explanation:
A rectangle is a 4 sides closed quadrilateral where opposite sides are equal .
So , length of one pair of opposite is represented by 'l' [l= length]
Such that sum of these two sides = l+l=2l
The other pair of opposite sides s represented by 'w' [w= width]
Such that sum of these two sides = w+w=2w
Perimeter is the sum of sides.
So, perimeter of rectangle = 2l+2w.
The coefficient of terms is 2 represents length of 2 equal and opposite sides of rectangle.
What single decimal multiplier would you use to decrease by 7% followed by a 20% decrease?
Answers
Answer:
13 percent
Step-by-step explanation:
Single decimal multiplier used to decrease by 7% followed by a 20% decrease is 0.744.
What is decimal multiplier?A percentage multiplier is a number which is used to calculate a percentage of an amount or used to increase or decrease an amount by a percentage. In order to use a percentage multiplier to calculate the percentage of an amount, convert the percentage to a decimal by dividing by 100 ; this is the decimal multiplier.
Given,
First decrease = 7%
Second decrease = 20%
Let a number be x.
If x is decreased by 7% then the value of the number is
( (100 - 7) / 100) × x = 0.93 x
Again if 0.93 x is decreased by 20% then the value of the number ((100 - 20) /100) × 0.93 x = 0.744 x
Hence, The single decimal multiplier is 0.744.
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Find the value of x that makes m ∥ n .
Answers
Answer:
60
Step-by-step explanation:
(2x+15)=135 They're corresponding angles so they equal/congruent
-15 -15 Subtract 15 on both sides since you're looking for x
2x = 120 Bring down the remains and subtract 135 from 15
2 2 Add 2 on both sides
x= 60 Divide.
Sean has $250 in his bank account. He deposits $35 from his birthday and then
buys clothes for school for $75. How much is in his account now?
Answers
Answer:
210 dollars left
Step-by-step explanation:
Answer:
he has 210 dollars left
Step-by-step explanation:
250+35=285
285-75=210
A student has some $1 and $5 bills in his wallet. he has a total of 15 bills that are worth $51. How much of each type of bill does he have?
Answers
Answer:
# of 5 dollar bills: 9
# of 1 dollar bills: 6
Step-by-step explanation:
9•5 = 45
1•6 = 6
To Check: 45 + 6=51
bob buys a t-shirt for $7.45 he pays with a 20 bill. how much change will he get?
Answers
Answer:
12.55
Step-by-step explanation:
Subtract 20 by 7.45
The required amount bob will get in return is given as $12.55.
Given that,
bob buys a t-shirt for $7.45 he pays with a 20 bill, how much change will he get is to be determined.
What is arithmetic?
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
total nill = $7.45
Total money given = $20
Change to return = 20 - 7.45 = $12.55
Thus, the required amount bob will get in return is given as $12.55.
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Answer ASAP Brainliest and 22 Points!
Answers
Answer:
Step-by-step explanation:
1. 5x+8-7x=4x+1 2.
5x-7x+8=4x+1
2x+8=4x+1
-2x+8=4x+1
-2x+8-8=4x+1-8
-2x-8=4x-7
6x=-7
x=7/6
Select all the pairs that could be reasonable approximations for the diameter and circumference of a circle. * 1 point A. 5 meters and 22 meters. B. 19 inches and 60 inches. C. 33 centimeters and 80 centimeters.
Answers
Answer:
B. 19 inches and 60 inches.
Step-by-step explanation:
Required
Select matching pairs
Represent diameter with D and Circumference with C
C is calculated as:
[tex]C = \pi D[/tex]
Where
[tex]\pi = 3.142[/tex]
A. D = 5m; C = 22m
Using: [tex]C = \pi D[/tex]
[tex]C = 3.142 * 5[/tex]
[tex]C = 15.71[/tex]
15.71 does not approximates to 22m.
Hence, the pair do not match
B. D = 19 in; C = 60 in
Using: [tex]C = \pi D[/tex]
[tex]C = 3.142 * 19[/tex]
[tex]C = 59.698[/tex]
59.698 approximates to 60.
Hence, the pair match
C. D = 33 cm; D = 80 cm.
Using: [tex]C = \pi D[/tex]
[tex]C =3.142 * 33[/tex]
[tex]C =103.686[/tex]
103.686 does not approximates to 22m.
Hence, the pair do not match
From the analysis above, only option B matches the diameter with the circumference
At a candy store, you can buy pre-filled bags of candy that weigh 2 1/4 pounds for $8. At this same rate, how much would a 4 pound
bag of candy cost?
Answers
Answer:
$14.22Step-by-step explanation:
step one:
given data
we are told that 2 1/4( 2.25 pound) of candy cost $8
let us find the cost of 1 pound first
so
2.25 pound cost #8
1 pound will cost x
cross multiply
x=8/2.25
x=$3.55 for one pound.
step two:
Hence if 1 pound cost $3.55
4 pound will cost = 3.55*4= $14.22
Equation parallel y= -3 also passes through the point (2,5)
Answers
Answer:
When somethins is parallel it never crosses each other, this means the new equation has to have the same slope but, since y=-3 is a straight line we just have to make the new line also a straight line, maknig sure it passes through (2,5).
To do this make y equal the y-coordinate of the points it needs to pass through. This would make the answer y=5
Step-by-step explanation:
PLEASE HELP find the sins of z
Answers
Answer:
It's easy
Step-by-step explanation:
Check the attachment for your answer
Here are the numbers of children in 12 elementary school classes.
20, 16, 19, 19, 17, 16, 20, 16, 18, 18, 18, 19
Find the modes of this data set.
If there is more than one mode, write them separated by commas.
If there is no mode, click on "No mode."
Answers
Answer:
18, 19(which has two) 20(has two)
Step-by-step explanation:
Just find the ones that appear more than one time.
Answer:
18
Step-by-step explanation:
Re-arrange
16 16,16,17,18,||18,18||,19,19,19,20,20
Find the middle number
i.e ( 18+18) /2
The ratio of boys to girls in 6th grade is 2:3, if there were 65 students in the class, how many girls are there? How many boys are there?
Answers
Answer:
26 boys and 39 girls
Step-by-step explanation:
if you were to divide 65 by 5 then you would get 13. all you have to do is add 13 + 13 and you would get the number of boys. for the girls you add 13 + 13 + 13.
The following lines: y=2/3(x) and y=-3/2(x) are...
O Intersectings=
O Neither
O Parallel
O Perpendicular
Need ASAP
Answers
Answer:
the answer to this question is parallel
Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.
PLEASE HELP. WORTH 25 POINTS. PICTURE BELOW
Answers
Answer:
y = 5
x = 14
Step-by-step explanation:
AOC=25
AOL=90
Therefore COL = 65
COM is a 90 degree angle since MOD is 90 degrees
COM - COL = 90 - 65 = 25
5y = 25
y=5
LOB = 90
5y + 3x + 23 = 90
5(5) + 3x +23 = 90
25 + 3x + 23 = 90
48 + 3x = 90
3x= 90 - 48
3x = 42
x= 14
Answer:
x = 14, y = 5
Step-by-step explanation:
MOB = LOC
(3x + 23) + 25 = 90
3x + 23 = 65
3x = 42
x = 14
3(14)+23 + 5y = 90°
5y = 25
y = 5
Using the graph, find the
1. Domain
2. Range
3. Is it a function? Why or why not?
Answers
9514 1404 393
Answer:
domain: {-5, -4, 2, 5}range: {-6, 1, 3, 4, 5}no: fails the vertical line testStep-by-step explanation:
The domain is the list of x-values of the points on the graph. It is ...
{-5, -4, 2, 5}
The range is the list of y-values of the points on the graph. It is ...
{-6, 1, 3, 4, 5}
__
Two of the points, (2, 1) and (2, 4), have the same x-value. When a single input has multiple outputs, the relation is not a function.
If you were to draw a vertical line at x=2, it would intersect the relation in more than one place. Thus, we say the relation "fails the vertical line test." A vertical line will never intersect the graph of a function in more than one place.
A ream of paper contains 500 sheets, and a case of paper contains 10 reams. An office supply store gets a delivery of 400 cases. How many sheets of paper are in the delivery? Express your answer in scientific notation.
Answers
Answer:
2,000,000 or 2x10^6
Step-by-step explanation: Multiply the total number of sheets in a ream times the total number of reams in a case times the number of cases.
help pls
6 x (2-8) + 4
Answers
Answer:
-32
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
In Solving This You will Need To;
*First You Open The Bracket Which is
6×(2-8)+4
6×2-8+4
*So after this you will multiply the 6 by the 2 which is going to be;
12-8+4
*So after you have multiplied 6 by 2 you can choose to subtract the 8 from the 12 or you can also choose to add the -8+4 either way you choose you're going to arrive at the same answer. So I choose to subtract 8 from the 12 so it's going to be;
4+4
Then you add the four plus 4 so the final answer will be 8
(If I chose to add the -8+4 it would have been -4 so 12-4 would have also given me 8 so any step is acceptable)
In a state, 30% of all people own a scooter, and 41% of all people have a skateboard and bicycle. Find the probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle? Round answer to nearest tenth and include percent sign.
Answers
Answer: 50%.
Step-by-step explanation: If someone went shopping for a scooter and it was $49.99 dollars but saw a skateboard for $14.99, they would choose the skateboard because it’s cheaper. If someone else went to the store because they wanted a skateboard but then they saw a scooter for $23.99 and a bike for $19.99 there is a 50% chance they will choose the cheaper one. (I hope this ,add sense
The probability is given by the equation P = 12.3 %
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle be P
Now , the equation will be
Let the probability of selecting a person owing a scooter A = 30 %
Let the probability of selecting a person owing a scooter A = 0.3
Let the probability of selecting a person owing a skateboard and bicylce be B = 41 %
Let the probability of selecting a person owing a skateboard and bicylce be B = 0.41
Now ,
Probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle P = probability of selecting a person owing a scooter A x probability of selecting a person owing a skateboard and bicylce B
Substituting the values in the equation , we get
Probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle P = A x B
Probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle
P = 0.3 x 0.41
P = 0.123
Hence , the probability is P = 12.3 %
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In right triangle ABC, altitude CD is drawn to its hypotenuse. Select all triangles which must be similar to triangle ABC.
Answers
Answer: ABC, ACD, CBD
Step-by-step explanation: I just did this problem and got it wrong. It then gave me the correct answer which is ABC, ACD, CBD.
The triangles that should be similar to triangle ABC is ABC, ACD, CBD.
What is the right triangle:
It is known as the rectangled triangle where the one angle should be treated as the right angle or here the two sides should be perpendicular. The relationship between the sides and the other angles should depend upon the trigonometry
Therefore, The triangles that should be similar to triangle ABC is ABC, ACD, CBD.
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Help plz:))) I’ll mark u brainliest
ASAP!!!
Answers
Answer:
isosceles
Step-by-step explanation:
the two bottom angles are equivalent
the top angle is different
two sides are also of equal length
............................... 6/2(1+2)
Answers
Answer:
9
Step-by-step explanation:
6/2(1+2)
=3*3
=9
Answer:
6
Step-by-step explanation:
6/2 is 3 and 1+2 is three and 3 + 3=6
Can anyone calculate the rise/run for this?
Answers
Answer:
0
Step-by-step explanation:
The slope of any horizontal line will be zero.
Answer:
slope = m = rise/run = 0/8 = 0
Step-by-step explanation:
Well rise/run is how much it rises over how much it runs.
Note it rises by 0 so 0 on top,
Therefore;
no matter it be 0/1 or 0/1241213261238126836128361 the rise/run also known as slope is always gonna be 0
Reasoning:
0 divided by anything is always 0
Hope this helps