What is the sum of all integers that are multiples of 4 from 1 to 150? *Show your solution*
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:
Given the information in the diagram, which theorem
best justifies why lines e and f must be parallel?
оооо
alternate interior angles theorem
same side interior angles theorem
converse of the alternate interior angles theorem
O converse of the same side interior angles theorem
Answer:
the answer is D
Step-by-step explanation:
edu 2021
Can someone check this for me! I am not sure if I did this right
9514 1404 393
Answer:
8 seconds
Step-by-step explanation:
Your answer is the time interval at which the projectile is at or above ground level.
The way I read the question, it is asking for the value of t when the projectile hits the ground. It is 8 (seconds). My answer to this question would be 8, or 8 seconds.
__
Comment
We cannot tell whether the answer is intended to include units, or not. The usual clues are missing here.
A streetlight that is 10 feet tall casts a 2.5-foot-long shadow. A nearby flagpole casts a 9-foot-long shadow. What is the height of the flagpole?
Answer:
The height of the flagpole is 36 feet
Step-by-step explanation:
The given parameters are;
The height of the street light = 10 feet
The shadow cast by the streetlight = 2.5 feet
The shadow cast by the flagpole = 9 foot
The height of the flagpole is given as follows;
The height of the street light/(The shadow cast by the streetlight) = (The height of the flagpole)/(The shadow cast by the flagpole)
∴ The height of the flagpole = (The shadow cast by the flagpole) × (The height of the street light)/(The shadow cast by the streetlight)
By substituting the values, we get;
The height of the flagpole = 9 ft. × 10 ft./2.5 ft. = 36 feet
The height of the flagpole = 36 feet.
help mesothelioma this pleaseeee
Find the value of c that completes the square
x^2-16x+c
Please help me with how to do this, and show me. Thank you.
Answer:
The value that completes the square is: c=8
Step-by-step explanation:
Find the value of c that completes the square [tex]x^2-16x+c[/tex]
The formula used is: [tex]a^2-2ab+b^2=(a-b)^2[/tex]
In the question given the value c can be found by breaking the middle term. we are given -16x while the general formula is 2ab for middle term so,
2(x)(8) = 16x
so, c= 8
Solving:
[tex]x^2-16x+c\\=x^2-2(x)(8)+(8)^2-(8)^2\\=(x-8)^2-64[/tex]
So, the value that completes the square is: c=8
Please answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
14
Step-by-step explanation:
i am in need of help
Answer:
(in the image)
Step-by-step explanation:
for the slope one - both triangle a and b have a slope of 5/3 (b's goes from 15/9 to 5/3 because of simplifying)
for the second one - 5/3=15/9 because the sides of both triangles correspond
My Answer to that:
5 - 3= 15 - 9 (Statement)- 5/3 = slope (Reason)
Definition of slope (Statement) - triangle A is similar to triangle B (Reason)
- sorry if wrong but that is the answer I would put
Help PLEASE HELP IT FOR MY LOTTLE SIS AND I stink at math soHELP!!
Answer:
3, 6, 15, 12, 33, 16, 3a, 4b
All the fractions can simplify to 2/3
Answer:
3, 6, 15, 12, 33, 16, 3a, 4b
Step-by-step explanation:
re the same except you have to add the variable letter in front of them.You can multiply or divide 4/6 to fill in the blanks for the other ones. The last 2 with variables are the exact same, but you have to add the variable letter as well. Please correct me if I am wrong because everybody makes mistakes.
this 5th question ...please answer
Answer:
Im 47 and i have no idea
Step-by-step explanation:
thanks for 5 points
Find the values of and y.
Answer:
Step-by-step explanation:
2y = 58
y=58/2
y = 29
58 + 2x = 180
2x = 122
x = 61
The ratio between the number of red and green marbles in a box is 3:7. How many marbles are in the box if there are 20 fewer red marbles than green marbles?
I need this ASAP!
Answer:
50 marbles
Step-by-step explanation: The difference between the ratio of the red and green marbles is 4 units and the number value is 20 so its safe to say that 4 units is equal to 20 and thus one unit is 5 and because of the fact that there is a total of 10 units of marbles in the box according to the ratio, just multiply 5 and 10 which you get 50.
4 units = 20
1 unit = 20÷4 = 5
Total = 10 units
10 unit = 5 ×10 = 50
Ans : 50 marbles
BRAINLIEST
PLS HELP ASAP IM FAILING
Quadrilateral ABCD has coordinates A(-2,0), B(0,4), C(4.6), and D(2,2). If it is
reflected over the x-axis, what are the coordinates of B'? (Answer as an ordered pair without spaces)
pair without spaces)
Answer:
B' (0,-4)
Step-by-step explanation:
When a point undergoes a reflection across the x-axis, it follows this transformation:
(x, y) --> (x, -y)
(0, 4) --> (0, -4)
URGENT HELP PLEASE
Using the proof above, what is the reason for statement 6?
Answer:
ASA
Step-by-step explanation:
hope it helps ;)
Need help been trying for 20 min
Answer:
lol i think its false and ik the pain
Step-by-step explanation:
HELP ASAP !! NEED ANSWERS !!!
Answer: 180 degrees clockwise
Step-by-step explanation:
what value of x makes the equation true ?
Answer:
x = -7
Step-by-step explanation:
You have to set up an algabraic equasion
2x + 3 = x - 4
-7 = x
Classify each number below as an integer or not.
Answer:
43 - Yes
15/3 - No
15/11 - No
-93.98 - No
-136.94 - No
Hope This Helps!
3(x+5)-10 = -2(x+10)
Answer:
x=−5
Step-by-step explanation:
calculator
Find the circumference a circle with the diameter AB
A (-8,4) and B (4,-1)
Answer:
C = 13π ≈ 40.82 units
Step-by-step explanation:
C = 2 r π = d π
AB = [tex]\sqrt{(-8-4)^2 +(4+1)^2}[/tex] = 13 units
C = 13π ≈ 40.82 units ( π ≈ 3.14 )
PLZ HELP!!!!!!!!!!!!!!!!! LOTS OF POINTS!!!!
There are 6 racers who went on a 25 meter race!!
X=time in seconds
Y=distance in meters
1) The winner race D (line purple) won the race in 9.6 seconds! Equation for line y=2.5x+1
How fast was this person traveling? Write in unit rates
2) what would the graph look like if one of the riders fell off their tricycle
Answer:
0u09u0u
Step-by-step explanation:
8
A 25 kg rock , is raised to the top of a hill 10 m high. What is the Potential Energy of the rock ?
Answer:
2450 J
Step-by-step explanation:
mass(m)=25kg
height(h)=10m
gravity(g)=9.8
now,
PE=mgh
=25×10×9.8
=2450J
ANS
Calculate the slope of the line passing through the points (4, 7) and (9, -1).
the answer is -8/5
ur welcome lolz
Answer:
The slope is -1.6
What is an equation of the line that passes through the points
(4,-8) (-4,2)
help pls i need it a lot hi
Answer:
Answer is Q,R,P
Hope it helps....... pls mark as brainliest
Answer:
The second: ∠Q, ∠R, ∠PStep-by-step explanation:
In every triangle the largest angle is oposite to the longest side and the smaller angle is oposite to the shortest side
the longest side is PR=15, so the largest angle is Q
the shortest side is QR=7, so the smallest angle is P
Mr. Lopez went on a bike ride. Every time he stops to drink water, his bike ride takes 3
minutes longer. If he stops to drink water 6 times, how much longer does his bike ride
take? (Input the number only for your answer)
Answer:
18
Step-by-step explanation:
6 breaks x 3 minutes each
= 18 minutes
Help it’s an easy question I’m just dumb please help me!
Find the x-intercept of the rational function.
A. (0,-2)
B. (-2,0)
C. (0,5)
D. (5,0)
Please explain how you got your answer. Thanks
Answer:
c
Step-by-step explanation:
c i think
Type the correct answer in the box. Use numerals instead of words.
Laura is a single taxpayer. She has $35,000 in ordinary taxable income and $5,000 in capital gains on an investment she held for 2 years. Use the tables to complete the statement.
Single Taxpayers: Income Brackets
Tax Rate Income Bracket
10% 0 to 9,525
12% 9,526 to 38,700
22% 38,701 to 82,500
24% 82,501 to 157,500
32% 157,501 to 200,000
35% 200,001 to 500,000
37% > 500,000
Single Taxpayers: Qualified Dividends and Long-Term Capital Gains
Tax Rate Income Bracket
0% 0 to 38,600
15% 38,601 to 425,800
20% > 425,800
The tax rate Laura will pay on her investment income is
%.
Answer:
22% because her taxable income will now be 40,000 dollars
Step-by-step explanation:
Answer:
15% Plato
Step-by-step explanation:
plsssssssssssssss help
Answer:
(D). (8, - 5)
Step-by-step explanation:
Coordinates of a center of a circle (x - h)² + (y - k)² = r² is (h, k)
Coordinates of the midpoint are ( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )
(x² - 10x + 25) + (y² + 2y + 1) = 25
(x - 5)² + (y + 1)² = 5²
(5, - 1) are coordinates of the center of the circle and (5, - 1) is a midpoint of the segment connected (2, 3) and (x, y)
5 = (2 + x) / 2 ⇒ x = 8
- 1 = (3 + y) / 2 ⇒ y = - 5
(D). (8, - 5)
find the coordinates of the circumcenter of the triangle below