Answer:
After 88 seconds, they will blink together.
Step-by-step explanation:
Time after which the first light blinks = 8 seconds
Time after which the second light blinks = 22 seconds
Initially, both the lights blink together.
To find:
The time at which they will blink together again.
Solution:
Let us have a look at the time after which each light will blink.
First light will blink after:
8 s, 16 s, 24 s, 32 s, 40 s, 48 s, 56 s, 64 s, 72 s, 80 s, 88 s, 96 s, 104 s, ......
Second light will blink after:
22 s, 44 s, 66 s, 88 s, 110 s, .....
It can be seen that common time is 88 second, at which the both will blink together.
So, the answer is 88 s.
This answer can also be computed by taking the LCM (Least Common Multiple) of both the numbers i.e. 8 and 22.
Using the factorization method:
[tex]8=\underline{2}\times 2\times 2[/tex]
[tex]22=\underline{2}\times 11[/tex]
Common is 2.
Therefore the LCM will be:
[tex]2\times 2\times2\times 11 = \bold{88}[/tex]
So, the answer is 88 s.
In one football game, a team scored 24 points with a combination of six-point touchdowns, three-point field goals, and one-point "extra points." They made 2 more touchdowns than field goals, and 3 times as many "extra points" as field goals. Let x be the number of touchdowns, y be the number of field goals, and z be the number of "extra points." Write a system of equations that can be solved to find how many touchdowns, field goals, and "extra points" the team made. Do not solve your system.
Given:
Total score = 24 points
They made 2 more touchdowns than field goals, and 3 times as many "extra points" as field goals.
To find:
The system of equations for the given problem.
Solution:
Let x be the number of touchdowns.
y be the number of field goals.
z be the number of "extra points."
Total score is 24 points. So,
[tex]x+y+z=24[/tex]
They made 2 more touchdowns than field goals.
[tex]x=y+2[/tex]
They made 3 times as many "extra points" as field goals.
[tex]z=3y[/tex]
Therefore, the required system of equation is
[tex]x+y+z=24[/tex]
[tex]x=y+2[/tex]
[tex]z=3y[/tex]
if 3n-4=8 then what is the value of 5n-3
How can you tell when to use a discrete graph as opposed to using a continuous graph? Give an example of each.
Answer:
Continuous graphs have all real numbers
Discrete graphs have whole numbers
Step-by-step explanation:
Please help! It’s fairly easy!
Answer:
see below
Step-by-step explanation:
This would be true if the lines are parallel. We have no information about the lines, so we cannot assume the lines are parallel, so we cannot use the corresponding angles theorem
Answer:
the lines arent parallel
Step-by-step explanation:
the corresponding angles theorem states if the transversal line goes through two parallel lines then the corresponding angles are congruent
Corliss earns an hourly wage, as well as tips, each day he works. His daily earned income, m, after h hours can be represented by the inequality m>11h+35.
He makes at most $11 per hour plus $35 in tips.
He makes more than $11 per hour plus $35 in tips.
He makes at least $11 per hour plus $35 in tips.
He makes less than $11 per hour plus $35 in tips.
Answer:
He makes more than $11 per hour plus $35 in tips
Step-by-step explanation:
First, you should always look at the sign and identify whether it's greater than, less than, greater than or equal to, or less than or equal to. In this inequality, the sign being shown is greater than: represented by m>11h+3
Here are inequality key words to help better understand the signs:
> : Greater Than, More Than
≥ : More Than or Equal To, At Least, No Less Than, A Minimum of
< : Less Than, Fewer Than
≤ : Less Than or Equal To, At Most, No More Than, A Maximum of
What is 5(2x-4)jahahajah acc Ishjss
Answer:
10x-20
Step-by-step explanation:
Answer:
distribute the 5
5×2x then 5×-4
10X-20 that's the answer
Help ASAP!!!!! Due in 5 minutesp
Answer:
-1/2
Step-by-step explanation:
to find perpendicular slope, flip the number and the sign
Can someone please help me asap??? I’ll mark brainlist !!!!
Answer:
b
Step-by-step explanation:
Answer:
b or a
Step-by-step explanation:
A baby weighed 7.25 pounds at birth. At the end of 8 months, the baby weighed 212
2
1
2
times its birth weight. How many pounds did the baby weigh at the end of 8 months?
Answer:
1537pounds
Step-by-step explanation:
Given parameters:
Weight of baby at birth = 7.25 pounds
Unknown:
Weight at the end of 8months = ?
Solution:
From the second sentence;
Weight at the end of the eighth month = 212 x weight at birth.
Input the parameters and solve;
Weight at the end of eighth month = 212 x 7.25 = 1537pounds
Can someone please help me I will really appreciate it .
Step-by-step explanation:
Hey there!
Here;
The given points are; (6,5) and (9,p).
Slope (m)= -4
Use slope formula;
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
Put all values.
[tex] - 4 = \frac{p - 5}{9 - 6} [/tex]
Simplify it to get answer.
[tex] - 4 = \frac{p - 5}{3} [/tex]
[tex] - 12 + 5 = p[/tex]
Therefore, p= -7.
Hope it helps...
1. Escreva na forma fatorada: a. 51 b. 56 c. 65 d. 77 e. 48 f. 50 g. 80 h. 99 i. 108 j. 132 k. 210 l. 180 m. 234
Answer:
por favor, verifique a explicação
Step-by-step explanation:
Queremos escrever cada um dos números como uma multiplicação de seus fatores; Procedemos da seguinte maneira;
a. 51 = 3 * 17
b. 56 = 2 * 2 * 2 * 7
c. 65 = 5 * 13
d. 77 = 7 * 11
e. 48 = 2 * 2 * 2 * 2 * 3
f. 50 = 2 * 5 * 5
g. 80 = 2 * 2 * 2 * 2 * 5
h. 99 = 3 * 3 * 11
i. 108 = 2 * 2 * 3 * 3 * 3
j. 132 = 2 * 2 * 3 * 11
k. 210 = 2 * 3 * 5 * 7
l. 180 = 2 * 2 * 3 * 3 * 5
m. 234 = 2 * 3 * 3 * 13
BJs sells apples in 3.5-pound bags. They sell 45 bags of apples each day. How many pounds of apples does BJs sell in 1 week? BJs sells apples in 3.5-pound bags. They sell 45 bags of apples each day. How many pounds of apples does BJs sell in 1 week? BJs sells apples in 3.5-pound bags. They sell 45 bags of apples each day. How many pounds of apples does BJs sell in 1 week?
Answer:
1102.5 pounds of apples will be sold in a week.
Step-by-step explanation:
Amount of apples in each bag = 3.5 pounds
If BJs sells 45 bags each day, amount of apples sold = 3.5 × 45
= 157.5 pounds
Number of days in a week = 7
Amount of apples sold in one week = Apples sold in a day × Number of days in a week
Amount of apples sold in 7 days = 157.5 × 7
= 1102.5 pounds
Therefore, amount of apples sold in a week = 1102.5 pounds
Answer:
1102.5 pounds
Step-by-step explanation:
HELLLP WILL GIVE 50 POINTSS
Answer:
12
Step-by-step explanation:
You need to use the pythagorean theorem. a^2 +b^2=c^2. Label the sides with a, b, and c. The longest side is c, but it does not matter for the other two sides.
Answer:
y = 12
Step-by-step explanation:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] - [tex]b^{2}[/tex]
[tex]c^{2}[/tex] = [tex]35^{2}[/tex] - [tex]37^{2}[/tex]
[tex]35^{2}[/tex] = 1,225
[tex]37^{2}[/tex] = 1,369
1,369 - 1,225 = 144
[tex]\sqrt{144}[/tex] = [tex]c^{2}[/tex]
[tex]\sqrt{144}[/tex] = 12
What is the value for y in the following expression
when x
14
y = 2x + 5
See attachment for math work and answer.
27. Mrs. Smith bought stock valued at $142.00 per share and sold it
for $153.83. What was the percent of profit?
Answer:
8 1/3
Step-by-step explanation:
153.83/142=1.0833333, meaning she made an additional 8.33333 percent more profit.
Find the value of x.
Answer:
x = 65
Step-by-step explanation:
2x - 14 + 64 = 180
2x + 50 = 180
2x = 130
x = 65
Answer:
x=65
Step-by-step explanation:
64+2x-14 = 180
The student government at the local middle school surveyed students to help plan the end-of-year party. For the first sample, they surveyed every other person at sports practice after school. For the second sample, they surveyed every fifth person entering the cafeteria where all students eat. Which statement about the samples is true?
Answer:
Explained below.
Step-by-step explanation:
Convenience sampling is a kind of non-probability-sampling (i.e. all items doesn’t have an equivalent chance of being selected), which doesn’t comprises of random collection of items. Convenience sampling is where we take in items which are easy to reach. This sort of sampling technique results in a biased sample.
Systematic sampling is a kind of probability sampling method in which individuals from a larger population are nominated according to a random initial point and a static, periodic interval. If the individual k is selected as the first sample then the sample space consists of every kth individual.
In this case the first sample is an example of convenience sample and the second is a systematic sample.
Answer: A
Sample 1 is biased.
Step-by-step explanation:
How many 3/20 inch lengths are in 5 2/5 inches?
Answer:
0.81
Step-by-step explanation:
a=x+y/2 Solve for y
I need this ASAP, please
Answer:
2A=
Step-by-step explanation:
Being in the same denominator makes the task much simpler.
Explanation:
A
=
X
+
Y
2
Simplify using the property
a
b
=
m
n
⇒
a
×
n
=
b
×
m
2
A
=
X
+
Y
2
A
−
X
=
Y
Hopefully this helps!
Answer:
the answer is y = 2a - 2x
Step-by-step explanation:
That's what I get when I solve for y
Given the points: (-2, 0) and (4,8) find the slope
Answer:
1&1/3
Step-by-step explanation:
(y2 - y1) / (x2 - x1)
(8 - 0) / (4 +2)
8/6
1 1/3
Find the value of x.
Answer:
sdf
Step-by-step explanation:
sdff
For the first one, 132 and 4 + x make a straight line, and a straight line is 180 degrees, so:
132 + 4 + x = 180
Add 132 and 4.
136 + x = 180
Subtract 136.
x = 44
You are right!
For the second one, 68 + x + 9 form a right angle, and a right angle is 90 degrees, so:
68 + x + 9 = 90
Combine 68 and 9.
77 + x = 90
Subtract 77.
x = 13
Hope this helps
PLZZZZ HELP WITHT THISSSS
Answer:
Domain:
[tex] - 2 \leqslant x \leqslant 2[/tex]
Range:
[tex] - 2 \leqslant y \leqslant 3[/tex]
Step-by-step Explanation:
The domain is all the values of x that make the function true. These are the values shown on the x-axis. The range is all the values of y that make the function true. These are the values shown on the y-axis.
PLEASE HELP ASAP I WILL GIVE BRAINLIEST TO WHOEVER GIVES THE RIGHT ANSWER FIRST
Answer:
I got you buddy! it's (32+2)(32+10)
Step-by-step explanation:
[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]
______________________________
[tex]\bold{Solution~Steps:}[/tex]
Find one factor of the form [tex]kx^m+n[/tex], where [tex]kx^m[/tex] divides the monomial with the highest power [tex]9x^4[/tex] and [tex]n[/tex] divides the constant factor [tex]20[/tex].
Factor the polynomial by dividing it by this factor:
[tex]3x^2+10[/tex]The following polynomials are not factored since they do not have any rational roots:
[tex]3x^2+2[/tex][tex]3x^2+10[/tex]______________________________
[tex]\bold{Answer:}[/tex]
The factored form of [tex]9x^4+36x^2+20[/tex] is:
[tex]\bold{(3x^2+10)~(3x^2+2)}[/tex]______________________________
[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~~~-TotallyNotTrillex}[/tex]
A town has a population of 2000 and grows at 3.5% every year. To the nearest year, how long will it be until the population will reach 3900?
Answer:
27 years.
Step-by-step explanation:
2000->100%
?->3.5%
=70 people growth each year
3900-2000=1900[expected growth]
70-per year
1900-?
1900*1/70=27.1
=27.|1
27 years
It will take 9 years for the town's population to reach 3900.
What is an exponential function?"An exponential function is a function of form f (x) = a^(x), where a is the base."
Exponential growth function:f(x) = a×(1+r)^x
where,
f(x) = exponential growth function
a = initial amount
r = growth rate
x = number of time intervals
For given situation,
initial population: a = 2000,
growth rate r = 3.5/100
⇒ r = 0.035
f(x) = 3900
We need to find the nearest year to reach the population 3900.
i.e., to find value of x(years)
Using the exponential growth function,
⇒ 3900 = 2000(1 + 0.035)^x
⇒ 3900/2000 = (1.035)^x
⇒ 1.95 = (1,035)^x
⇒ [tex]x=log_{1.035} 1.95[/tex]
⇒ x = 19.41
⇒ x ≈ 19
Therefore, it will take 19 years to reach 3900.
Learn more about exponential growth here:
https://brainly.com/question/11487261
#SPJ2
20 POINTS! HELP ME PLZZ I NEED HELP WITH THIS!!
Answer:
B
Step-by-step explanation:
Both 0.684 and 0.1222 are rational
Answer:
B.
Step-by-step explanation:
Because 0.12222222.... and 0.684 are rational numbers.
Pls consider marking my answer as Brainliest! It would mean a lot!
Car a travels 15 miles while car b travels 26 miles what is the ratio of car a to car b
Answer: 15:26
Step-by-step explanation:
Given: Car a travels 15 miles while car b travels 26 miles.
Now, the ratio of the distance traveled by car a to car b is given by :-
[tex]\dfrac{\text{15 miles}}{\text{26 miles}}=\dfrac{15}{26}[/tex] , which is the fraction in the simplest as highest common factor of 15 and 26 =1.
So, the the ratio of the distance traveled by car a to car b = 15:26
Hence, the ratio of car a to car b = 15:26
HELP NUMBER 10 please!!!
Note:
0.13 x 16500 = 2145
16500 - 2145 = 14355 for the first year.
Continue this for 7 more years to get your answer.
Fun fact
During your lifetime, you will produce enough saliva to fill two swimming pools ♀️
credit to savannal2250 for the fact
Answer: wow
I'd want nothing more than to swim in a pool of saliva.
If 3+k,18-k,5k+1 are in A.P, then find k
• 3 + k , 18 - k and 5k + 1 are in AP .
To find :• The value of K .
Solution :• As we know that, In AP common difference is same :
• b - a = c - b
=> 2b = a + c
Here ,
• a = 3 + k
• b = 18 - k
• c = 5k + 1
=> 2 ( 18 - k ) = 3 + k + 5k + 1.
=> 36 - 2k = 4 + 6k
=> 36 - 4 = 6k + 2k
=> 32 = 8k
=> k = 32/8
=> k = 4
Hence , the value of k is 4.
Answer:
k=4
Step-by-step explanation:
Since the given terms are in A.P., the common difference will be the same
So, 18-k-3-k = 5k+1-18+k
15-2k = 6k-17
6k+2k = 17+15
8k = 32
k = 4
0.82 divided by ___ = 0.0082.
Fill in the blank?
I think it is 100 is that right?
Answer:
100
Step-by-step explanation:
100 x 0.82 =0.0082