Scrat the squirrel has a few nuts. When he put them in groups of 5 nuts, two nuts were left, and
when he laid them out in groups of 3 nuts, there were no nuts left. How many nuts among the
options provided below could belong to Scrat?
Answer:
The options are not shown, so i will solve this in a general way.
Let's suppose that there are N nuts
If we divide the N nuts into groups of 5, there will be a remainder of 2 nuts.
If we divide the N nuts into groups of 3, there is no remainder.
This means taht N is a multiple of 3. then we can write:
N = 3*k
where k is a random integer.
Now, we know that when we divide N by 5, there is a remainder of 2 nuts, this means that N is equal to a multiple of 5 plus 2, then we can write:
N = 5*j + 2
where j is a random integer.
Now we only need to find a pair of k and j (both positive integers) such that:
3*k = 5*j + 2
We can rewrite this as:
k = (5/3)*j + (2/3)
Now we could just input different values of j, and see if k is also an integer:
j = 2
k = (5/3)*2 + 2/3 = 10/3 + 2/3 = 12/3 = 4
Then the pair j = 2, k = 4 is a possible solution.
N = 3*k = 3*4 = 12
N = 5*j + 2 = 5*2 + 2 = 12
From this we can conclude that N = 12, so Scrat has 12 nuts.
Now with the equation
k = (5/3)*j + (2/3)
We can find other possible combinations of j and k, that will give different values for N.
for example, if j = 5:
k = (5/3)*5 + 2/3 = 25/3 + 2/3 = 27/3 = 9
Then the pair j = 5, k = 9 is also a possible solution:
N = 3*k = 3*9 = 27
N = 5*j + 2 = 5*5 + 2 = 27
In this case, Scrat has 27 nuts.
There are 300 students in a middle school,
150 students are fluent in a second language.
What percent of the students are fluent in a
second language?
The equation y = 3.5x represents the total cost y in dollars of buying x pounds of cheddar cheese at Art’s Deli. The graph below shows the total cost y in dollars of buying x pounds of cheddar cheese at Jon’s Deli. What conclusion can you draw about the cost of cheddar cheese at these delis? Cheddar cheese costs $4 more per pound at Jon’s Deli than Art’s Deli. Cheddar cheese costs $0.50 more per pound at Jon’s Deli than Art’s Deli. Cheddar cheese costs $3.50 less per pound at Art’s Deli than Jon’s Deli. You pay the same price per pound for cheddar cheese at both delis.
Step-by-step explanation:
i think its X=2.75
Megan had some money in her wallet. Her mom gave her $38.25 to go shopping. Now Megan has fifty dollars. How much money did Megan have in her wallet before her mom gave her money?
Answer:
$11.75
Step-by-step explanation:
50-38.25=11.75
Answer:
She had $11.75 in the beginning
Step-by-step explanation:
Subtract
50-38.25
you should get 11.75
hope this helps
take care
-17+ 1/4 x + 1/4 x + 31 = 24
______________________________
1.) Combine like terms:[tex]\frac{1}{4}x+\frac{1}{4}x=\frac{1}{2}x[/tex]
- We do this because we need 1 Number/Variable left over.
Equation at the end of Step 1:
[tex]-17+\frac{1}{2}x+31=24[/tex]2.) Add −17 and 31:[tex]-17+31=14[/tex]
- We do this because we can only have 1 number on each side of the equals. (This doesn't count towards the number connected to the variable.)
Equation at the end of Step 2:
[tex]14+\frac{1}{2}x=24[/tex]3.) Subtract 14 from both sides:[tex]14-14=[/tex] Cancels Out[tex]24-14=10[/tex]
- We do this because now we just need the 1 variable and the 1 number on opposite sides of the equal.
Equation at the end of Step 3:
[tex]\frac{1}{2}x=10[/tex]4.) Multiply both sides by 2:[tex]\frac{1}{2}x[/tex] × [tex]2=x[/tex][tex]10[/tex] × [tex]2=20[/tex]- We multiply by 2 since we have a fraction. In this case the reciprocal is 2 meaning we multiply by 2.
______________________________
please help i m clusless
Answer:
-25+? = -5
cross -5 over and it the negative sign would turn to postive sign
-25+(5)=?
Therefore answer = 20
To confirm this answer
-25+20= -5
Blue Street passes through the points (-2,6) and (3,-4) find the slope using the slope formula and then find the equation of the line using any method. Show your work.
Answer:
Christianity
May god Bless you
Step-by-step explanation:
TIME SHEET - ACTIVITY 1
Ajax Manufacturing, Inc.
300 South Detroit Ave.
Anytown, OH 85226
Employee Name:________________________________
Date Start Time End Time Time Away Regular Hours
Dec. 1 8 a.m. 4:30 p.m. ½ hour 8
Overtime hours (hours over 40)
Can someone please help ASAP i have the time sheet if you need it :))
i will mark you brainiest
Here are Rick's hours of work:
On Dec. 1, Rick worked from eight o’clock a.m. to half past four o’clock p.m. He took a half-hour lunch break. (Completed for you.)
On Dec. 2, Rick worked from eight o’clock a.m. to half past four o’clock p.m. He did not take a lunch break.
On Dec. 3, Rick worked from eight o’clock a.m. to five o’clock p.m. He took a half-hour lunch break.
On Dec. 4, Rick worked from half past seven a.m. to half past four o’clock p.m. He took a half-hour lunch break.
On Dec. 5, Rick worked from seven o’clock a.m. to five o’clock p.m. He took a one-hour lunch break.
On Dec. 6, Rick worked from eight o’clock a.m. to noon. He did not take a lunch break.
On Dec. 7, Rick did not work.
Here are Rick's hours of work:
On Dec. 9, Rick worked from half past seven o’clock a.m. to half past four o’clock p.m. He took a half-hour lunch break.
On Dec. 10, Rick worked from seven o’clock a.m. to half past four o’clock p.m. He took a half-hour lunch break.
On Dec. 11, Rick worked from half past eleven o’clock a.m. to five o’clock p.m. He did not take a lunch break.
On Dec. 12, Rick worked from half past seven o’clock a.m. to half past five o’clock p.m. He took a one-hour lunch break.
On Dec. 13, Rick worked from half past seven o’clock a.m. to seven o’clock p.m. He took a one and a half-hour lunch break.
On Dec. 14, Rick worked from eight o’clock a.m. to five o’clock p.m. He took a one and a half-hour lunch break.
On Dec. 15, Rick did not work.
time sheet 1:
dec 1 is 8 hours
dec 2 is 8.5 hours
dec 3, is 8.5 hours
dec 4 is 8.5 hours
dec 5 is 8. 5 hours
dec 6 is 4 hours
all together is 46 hours
so overtime is 6 hours
timesheet 2:
dec 9 is 8.5 hours
dec 10 is 8.5 hours
dec 11 is 5.5 hours
dec 12 is 9 hours
dec 13 is 10 hours
dec 14 is 7.5 hours
total hours is 49 hours
over time is 9 hours
$2.50 per 1/4 hour. Can someone explain how to solve this?
Answer:
2.50 dollars every 15 minutes
Step-by-step explanation:
There is a lower limit but no upper limit for a random variable that follows the _____ probability distribution.
a. normal
b. uniform
c. binomial
d. exponential
Answer:
d.exponential is answer
Step-by-step explanation:
I hope it's helpful!
10 to the power of negative 9. To decimals
Answer: 1E - 9
Step-by-step explanation:
A line passes through (-6, 10) and (4, -10). What is the slope?
The soccer team played 30 games and lost 12 of those games. Samantha was the goalie in ⅚ of the games that the team won and ⅓ of the games that the team lost. In how many games did she play in?
Answer:
20 games
Step-by-step explanation:
5/6 of 12 = 10
1/3 of 30 = 10
10 + 10 = 20
what is the correct answer ro this problem? 121 ÷ 11 = ?
Answer:
11
Step-by-step explanation:
quik mafs
The blue segment below is a radius of 0. What is the length of the diameter
of the circle?
Please help me with this question
PLEASE ANSWER ASAP I WILL GIVE YOU FREE THANKS
Answer:
infintely mainly is the answer
Step-by-step explanation:
What is the area of a circle if it has a diameter of 14 units
Answer:
143.94 is the area of the circle
Can You please help me
QRINC offered new employees a starting salary of $34,862 in 2013. What would a comparable starting salary have been in 2003?
Complete Question
Table of Annual CPI values
2003-184.00
2004-188.90
2005-195.3
2006-201.6
2007-207.342
2008-215.303
2009-214.537
2010-218.056
2011-224.939
2012-229.594
2013-232.957
2014-236.736
QRINC offered new employees a starting salary of $34,862 in 2013. What would a comparable starting salary have been in 2003?
Answer:
[tex]C=27535.5881128[/tex]
Step-by-step explanation:
From the question we are told that
CPI for 2003(index)=2003-184.00
CPI for 2013(index)=2013-232.957
Starting salary in 2013 at $34,862
Generally comparable starting salary C is given as
[tex]C=\frac{starting salary}{CPI for 2013(index} *CPI for 2003(index)[/tex]
[tex]C=\frac{34,862}{232.957} *184[/tex]
Therefore C the comparable starting salary is givrn to be
[tex]C=27535.5881128[/tex]
[tex]C=27536 appro[/tex]
17. Generally speaking, which of the following is necessary to conduct either a single-blind or double-blind study?
O Control group
Blocking
Placebo
O Association
HERE ARE SOME LOVELY POINTS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! PLEASE HELP KE
Answer:
Aww spanx! :) You are very kind!
Step-by-step explanation:
Answer:
Thanks if this is free points!
I'm truly sorry if this is an actual question because i cant see the pictures you attached :(
Step-by-step explanation:
May I have brainiest I'm trying to level up!
</3 PureBeauty
In parallelogram GHJK if m KGH=25° find mJKG.
H
25°
xº
K
Answer:
Submit Answer
attempt 1 out of 3
Answer:
x = 155°
Step-by-step explanation:
Adjacent angles of a parallelogram are supplemenary angles . Supplemwntary angles are the angles whose sum is 180°. So,
KGH + JKG = 180°
=> 25° + x° = 180°
=> x = 180 - 25 = 155°
7. Which value of x makes the ratios equal?
x/12 =3/9
Answer:
x=4
Step-by-step explanation:
x/12 = 3/9x/12=1/3x=4cross multiplyyWrite the equation that describes the line with slope = 4 and y-intercept = -2 in slope-intercept form.
Answer:
2 66
Step-by-step explanation:
beacuse ima gansta and you a cracka so whats up with it
A doghouse is to be built in the shape of a right trapezoid, as shown below. What is the area of the
doghouse?
the price of a sweater was reduced from 20$ to 12$ by what percentage was the price of the sweater reduced
Answer:
11%
Step-by-step explanation:
the answer is 11 because you need to minus
Jared buys 2.4 pounds of broccoli for $3.24. Which equation could Jared use to find c the
cost of each pound of broccoli?
2.4 +c= 3.24
2.4c = 3.24
3.24c = 2.4
3.24 + c = 2.4
Please help!! Will give brainliest!!
Answer:
n=6
Step-by-step explanation:
64(4^n)=262144 then divide it by 64 which is 4^n=4096. divide 4096 by 4 and you get 6
Answer: im sorry bbut i dunno
Step-by-step explanation:
Harry borrows $2,500 to purchase furniture for his new
apartment. If he pays $202.00 per month for 1 year
and 3 months, how much total interest will he pay?
a. $202
b. $530 c. $3,030 d. $5,530
Answer:
The answer is C
Step-by-step explanation: