Answer:
1) both lights will blink at the same time every 20 seconds
2)Both lights will blink at the same time every 36 seconds
3) How to determine when 2 lights will blink together is that you must find the least common factor (LCM) of both numbers and when both hit the same number then that is when both lights blink at the same time.
Step-by-step explanation:
For example for number 1 we have 4 and 5 seconds when the lights blink
4: 4, 8, 12, 16, 20...
5: 5, 10, 15, 20...
we see that the LCM factor is 20 and that is when both lights will hit at the same time.
Find the sum of the arithmetic series given a1
12, d = 4, and n = 30.
A. 8434
B. 4200
C.4216
D. 2100
Answer:
D
Step-by-step explanation:
The sum to n terms of an arithmetic series is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 12, d = 4 and n = 30 , then
[tex]S_{30}[/tex] = [tex]\frac{30}{2}[/tex] [ (2 × 12) + (29 × 4) ]
= 15(24 + 116)
= 15 × 140
= 2100 → D
The sum of the arithmetic series given a₁ =12, d = 4, and n = 30 is 2100, therefore the correct answer is D.
What is the Sum of arithmetic series?The sum of n terms of an arithmetic series can be easily found using a simple formula which says that, if we have an arithmetic series whose first term is a and the common difference is d, then the formula of the sum of n terms of the arithmetic series is as follows
Sn = n/2 [2a₁ + (n-1)d].
as given in the problem
a₁ =12, d = 4, and n = 30
Sn = 30/2 [2×12 + (30-1)×4]
= 2100
The sum of the arithmetic series given a₁ =12, d = 4, and n = 30 is 2100.
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This year, a town has a budget of $1,000,000. Next year, the budget will increase by 2.5%.
What will the town's budget be next year?
A $1,025,000
B) $1,250,000
С
$2,050,000
D
$2,500,000
Answer:
A
Step-by-step explanation:
1000000·2.5=2500000
2500000÷100=25000
1000000+25000=1025000
BRO CAN SOMEONE PLEASE HELP ME THIS TEST IS A MAJOR GRADE I CAN HELP YOU WITH SOMETHING BUT PLEASE HELP ME WITH THIS
The length, l , of a rectangle is 3 cm longer than twice the width, w. The perimeter of the rectangle is 66 cm.
Which system of linear equations could be used to find the length and width of the rectangle?
A. l = 3w + 2
2l + 2w = 66
B.l = 3w + 2
l + w = 66
C.I= 2w + 3
l + w = 66
D. l = 2w + 3
2l + 2w = 66
Answer:
The system of linear equations that could be used to find the length and width of the rectangle will be:
l = 2w + 3 cm
2w + 2l = 66
Hence, option D is correct.
Step-by-step explanation:
Let the width of the rectangle be = w cm
Given that the length, l, of a rectangle is 3 cm longer than twice the width, w.
Thus, the length of the rectangle be:
l = 2w + 3 cm
We know that the perimeter of the rectangle is:
P = 2w + 2l
Given that the perimeter of the rectangle = P = 66 cm
so substitute P = 66 in P = 2w + 2l
P = 2w + 2l
66 = 2w + 2l
Therefore, the system of linear equations that could be used to find the length and width of the rectangle will be:
l = 2w + 3 cm
2w + 2l = 66
Hence, option D is correct.
To the nearest tenth, find the area of a circle with a
diameter of 8 meters. Use 3.14
Answer:
28.3
Step-by-step explanation:
When I halve it,
the result is 24 less than 46.
what is the number?
Answer: 44
Step-by-step explanation:
46 - 24 = 22 (when halved so you need to multiply by 2)
22 * 2 = 44
karl rode his bicycle 3/8 of the distance from lakeview to bay cove, which is 24.1 miles. how many more miles does he need to ride to complete his trip?
Answer:
he has 15.06 (15) miles left
Step-by-step explanation:
he still has 5/8 distance left so its just 5/8th of 24.1
Find the square root of 64a^2/9b^2+4+32a/3b
Answer:
[tex]\frac{4.(ab+3^2}{9}[/tex]
Step-by-step explanation:
geometry please help me thank you
Answer: For first blank: GNS
P = N G = P S = R
A rotation of 180 degrees around the orgin will move a shape how many quadrants ?
Answer:
2 quadrants
Step-by-step explanation:
If it is 360 it would be 180 times 2 leading you back to where you started so 2 a point at (x,y) would turn into (-x,-y) when moved 180 degrees
Find the 101th term in the arithmetic sequence -3,-5,-7,-9,-11
At a pie cook-off, the judges ate 512 of Mary’s pie and 916 of Jerome’s pie.
The pies were the same size.
Choose Yes or No to tell if the statement about the two pies is true.
Answer:
No
Step-by-step explanation:
I think you meant to put 5/12 ad 9/16 but in any case, even if it were 51/2 and 91/6 or anything else, the answer would be no
What's the square root of 64 times 3
Answer:
24
Step-by-step explanation:
Answer:
About 13.86
Step-by-step explanation:
64 x 3 = 192
[tex]\sqrt{} 192[/tex] = 13.8564064606
If you were asking what [tex]\sqrt{64}[/tex] multiplied by 3 was, that answer would be 24. I read it as if you were asking what [tex]\sqrt{64 x 3}[/tex] is. :)
Solve the inequality. 5(x + 1) – 10 ≥ 2x + 3(x + 2)
The solution of the inequality 5(x + 1) - 10 ≥ 2x + 3(2x + 2) is x ≤ - 16/3.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, Inequality is 5(x + 1) - 10 ≥ 2x + 3(2x + 2).
5x + 5 - 10 ≥ 2x + 6x + 6.
5x + 5 - 10 ≥ 8x + 6.
5x - 8x ≥ 10 + 6.
- 3x ≥ 16.
3x ≤ - 16.
x ≤ - 16/3.
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simplify please was due 11:59
Answer:
3^12
Step-by-step explanation:
Calculate
8 - 72 - 8+8-6
Answer:
-70
Step-by-step explanation:
the bakers at noah's bagels can make 340 bagels in 4 hours so how many can they make in 10 hours ?
Answer:
850 bagels in 10 hours.
Step-by-step explanation:
340 divided by 4 is 85. 85 times 10 is 850. So, 850 bagels.
they want you to solve for n
Answer:
the answer will be
n< 80
Step-by-step explanation:
The product of 3 and a number equals the sum of 16 and a number.
Answer:
The numbers can be either -8,-7,-6, or 6, 7, 8.
n(n−1)(n+1)=16(n−1+n+n+1)
⟹n(n2−1)=16×3n
⟹n(n2−1)n=48nn
⟹(n2−1)−48=48−48
⟹n2−49=0
⟶(n−7)(n+7)=0
n can be 7 or −7 , so the numbers can be either −8,−7,−6
Or
6,7,8
Step-by-step explanation:
Find the value of x
Answer:
The value of x is 72 degrees
Step-by-step explanation:
Simplify. n6 • n5 • n4 ÷ n3 • n2 ÷ n
Answer:
Step-by-step explanation:
N⁶ · n⁵ · n⁴ ÷ n³ · n² ÷ n
n¹¹ · n⁴ ÷ n³ · n² ÷ n
n¹⁵ ÷ n³ · n² ÷ n
n⁵ · n² ÷ n
n¹⁰ ÷ n
n⁹
Answer:
1
Step-by-step explanation:
because u didnt have 1 plus its counting down on the numbers so i think its 1
Jonah had 3/4 cup of water in his cup. He drank 1/2 cup of water. How
much water did he have left?
Answer:
1/4th Cup left
Step-by-step explanation:
1/2 cup is equal to 2/4 cup, so subtract that from 3/4th and you end with 1/4th
Is 4d + (15 + 3d) equivalent to (4d + 15) + 3d ?
Answer:
Yes it is
Step-by-step explanation:
4d + 3d = 7d so 7d + 15 would be the expression for both except it would only be 3d + 4d = 7d and 7d + 15 is the same as the first expression that I got from evaluating 4d + (15 + 3d).
______________________________
1.) Solve [tex]\bold{4d+(15+3d)}[/tex]:Combine 4d and 3d: [tex]=7d+15[/tex]2.) Solve [tex]\bold{(4d+15)+3d}[/tex]:Combine 4d and 3d: [tex]=7d+15[/tex]3.) Compare:[tex]7d+15=7d+15[/tex]
So your answer [tex]\bold{7d+15=7d+15}[/tex].
______________________________
2/3 divided by 1/9
?????
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
write in slope-intercept form 5x-3y=-9
step by step explanation too, please.
Answer:
y = (5/3)x +3
Step-by-step explanation:
slope intercept form
Y = mx +b form
so we need to solve the given equation for y
1. 5x-3y =-9
2 . 5x -3y +3y = -9 +3y (adding both sides 3y)
3. 5x = -9 +3y
4. 5x +9 = -9 +9 + 3y (adding 9 to bot sides)
5. 5x +9 = 3y
6. (5/3)x + 9/3 = (3y)/3 ( divide both sides by 3 to get y alone)
so, the final answer will be
y = (5/3)x +3
help pls i dont no
Step-by-step explanation:
[tex] - 5 \frac{1}{3} \div 3 \frac{1}{10} \\ = \frac{ - 5 \times 3 + 1}{3} \div \frac{3 \times 10 + 1}{10} \\ = \frac{ - 16}{3} \times \frac{10}{31} \\ = \frac{ - 160}{93} [/tex]
So choose option 1st
-1 67/93
Hope it will help :)
Answer: -1 67/93
Explain:
The first one is the answer because you have to keep change and flip and it has to be a negative because when you divide a negative by a positive it gives you a negative
Can I have a brainliest
PLEASE HELP
Which of the following are solutions of the equation (2x-3) (3x+5)=-14
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Vinnie decorated 72 cookies in 36 minutes. How many cookies did he decorate per minute? My sister asked this XD
2 cookies per minute
Write a function rule for “The output is 10 less than the input.” Let x be the input and let y be the output.
Answer:
x-10=y
Step-by-step explanation:
the output (y) is 10 less ( -10) than the input (x)
The Husky student store is selling CIF football playoff tickets. The cost is $6 per child ticket and $12 per adult ticket. The student store sells a total
of 304 tickets and earns a total of $2640. Determine the number of each type of ticket sold. Remember to show all 7 steps
Answer:
Your answer.
X = 168, Y = 136
Thank you. And give my answer as Brainlist answer. Follow me for more
Step-by-step explanation:
5x+7 but the given x=6
Answer:
37
Step-by-step explanation:
5 x 6 = 30
30+7=37
Answer:
37
Step-by-step explanation:
5x + 7
x = 6
All you need to do is substitute the "x" with "6" since that has been given....
5(6) + 7
30 + 7
37
Hope this helped!
Have a supercalifragilisticexpialidocious day!