For the conditions to be fulfilled number of chocolate bars Janet bought is 35.
What is an equation?An equation is a statement in form of numbers and variables that both sides are equal.
Janet bought the same bars of chocolate to share equally with her friends and it is between 36 and 50.
There are two possible cases,
Let the number of chocolates be 'N' and no. of chocolates each friend gets be 'A'.
(i) If she shares the bars of chocolate equally with 7 friends, she will have 7 bars left over,
∴ N = 7A + 7...(i).
(ii) If she shares the bars equally with 6 friends she will have 5 bars left over,
Let the number of chocolates be 'N' and no. of chocolates each friend gets be 'B'.
∴ N = 6B + 5...(ii)
Now, we have to equate these two equations,
7A + 7 = 6B + 5.
7A = 6B - 2.
A = (6B - 2)/7.
From here we have to find such integer value of B which also makes the value of A an integer and also when we put the values of either A or B in our equations it should lie between 35 and 50.
So,
A = (6B - 2)/7.
When B = 5 then A = 4. Or when B = 12 the A = 10.
But the B = 12 and A = 10 is inadmissible.
Now, we'll put the value of A or B in eqn (i) or (ii).
Which results in N = 35.
So, the number of chocolate bars she bought is 35.
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Jamie and Ryan work at the grocery store. The wages earned for the weekend are shown in the table and graph. Who gets paid more per hour
plz answer right away
Answer:
Ryan earns more per hour.
Step-by-step explanation:
1) 40/5=$8.00 per hour for jamie
2)8.50/1=$8.50 per hour for ryan.
3)8.50>8.00
5x999 dghdiuhfuidfuewyf
Answer:
5x999 urfiwbyginwgf fjkwfg8
Step-by-step explanation:
you take the 5 by x by 999 and kvbbci then you are supposed to uibjouwfbc by owihefojw and oiwhjwnfwfb
Answer:
4995
Step-by-step explanation:
Because
999
x 5
4995
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Graph the equation y(1/2)x using the stope and y-intercept
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93 is what percent of 620?
%
Answer:
15%
Step-by-step explanation:
Answer:
15%
Step-by-step explanation:
Last year 42 new houses were built in a neighborhood. So far this year 5/7 of them have been sold. How many new houses have been sold this year?
Answer:
30
hope this helps.
Answer:
35 houses
Step-by-step explanation:
The product of three and a number is thirty
Answer:
10
Step-by-step explanation:
3 times 10 equals 30
7/3 ×3/8=
I REALLY NEED HELP
Answer:
0.875 or 7/8
Step-by-step explanation:
I put it in a calculator
Answer:
the answer is 7/8
Step-by-step explanation:
7/3 ×3/8 =7/8
pls help!! 15 points! What are the minimum and maximum values of t for which |t + 3| ≤ 2?
Minimum=
Maximum=
Answer:
Minimum: x<-1
Maximum: x> 1
both are also equal to i just don’t have the sign
Part A
find the area of the given figure
Answer:
where is the figure
Step-by-step explanation:
Hurry this is due in a couple of minutes!!!!!
Answer:
1. 1:1500
2. 1500 times
Step-by-step explanation:
1 foot=12 in.
500*12=6000
4:6000=1:1500
N+4-9-5n help me help me help me
Answer:
-4n - 5
General Formulas and Concepts:
Combining like termsStep-by-step explanation:
Step 1: Write expression
n + 4 - 9 - 5n
Step 2: Simplify
Combine like terms (n): -4n + 4 - 9Combine like terms (constants: -4n - 5A delivery truck drives three routes in one day. The first route is 1223 miles long, the second route is 1034 miles long, and the third route is 1512 miles long. What is the total number of miles the delivery truck drives? Enter your answer as a mixed number in simplest form by filling in the boxes. $$ miles
Answer:
[tex]Total = 38\frac{11}{12}\ miles[/tex]
Step-by-step explanation:
Given
[tex]First\ Route = 12\frac{2}{3}\ miles[/tex]
[tex]Second\ Route = 10\frac{3}{4}\ miles[/tex]
[tex]Third\ Route = 15\frac{1}{2}\ miles[/tex]
Required
Determine the total miles
[tex]Total = First\ Route + Second\ Route + Third\ Route[/tex]
[tex]Total = 12\frac{2}{3} + 10\frac{3}{4} + 15\frac{1}{2}[/tex]
Convert to improper fractions
[tex]Total = \frac{38}{3} + \frac{43}{4} + \frac{31}{2}[/tex]
Take LCM
[tex]Total = \frac{152 + 129 + 186}{12}[/tex]
[tex]Total = \frac{467}{12}[/tex]
[tex]Total = 38\frac{11}{12}\ miles[/tex]
Every few years, Brendan's entire family gets together for a family reunion. This year,
Brendan's parents are hosting, and they have to cook a lot of food to feed the crowd.
Brendan has volunteered to do the most tedious job:
shelling peas.
There is a proportional relationship between the amount of time (in
minutes)
Brendan spends shelling peas, x, and the weight (in pounds) of the peas he has shelled,
у
х
y
(minutes) (pounds)
2
1
4
2
6
3
12
6
What is the constant of proportionality? My
Answer:
k = 0.5
Step-by-step explanation:
There is a proportional relationship between the amount of time in shelling peas 'x' and the weight of the peas 'y'.
Therefore, y ∝ x
⇒ y = kx
Here, k = proportionality constant
From the given table,
If family spends the time 2 minutes (x-value) in shelling 1 pound of peas (y-value),
1 = k × 2
k = [tex]\frac{1}{2}[/tex]
k = 0.5
Therefore, proportionality constant for the relationship is 0.5.
what is the next. three numbers for 12 14 13 15
Answer:
16,17,18,
Step-by-step explanation:
:D im so smart
Answer:
14 16 15 17 16 18
Step-by-step explanation:
Find the measure of the missing angles.
Answer:
d = 103
e = 22
f = 55
Step-by-step explanation:
ok so the angles on the other side 22 and 103 are equal to 2 of the angles on the other side
the whole line is equal to 180
103 + 22 = 125
180 - 125 = 55
d = 103
e = 22
f = 55
Answer:
d = 103
e= 22
f= 55
Step-by-step explanation:
the opposite side of d equals 103 and they are adjacent which means they have the same measure
same goes to e the opposite side of it equals 22
and then for f a full line measure equals 180
so 103+22= 125
180-125= 55
there you have it :)
At one gym, there is a $12 start-up fee, and after that each month, m, at the gym costs $20. At another gym, each month at the gym costs $22. After how many months will the cost of both gyms be the same? =
Korie randomly selects a number from the numbers shown below 54, 60, 11, 0, 5, 7, 20
what is the probability that the number she selected is an even number
Answer:
I think its 3 out of 7
Ten oranges are to be shared between two boys in the ratio 1:4 how many will each boy get
Answer:
2 and 8
Step-by-step explanation:
Well. Boy A gets 1 orange, so the other must get 4. So say boy A gets 2 oranges now, so the other must get also double the amount of oranges, which is 8.
1:4
If you changed the 1 to a 2, you have x2 (you can only x or ÷, in ratio) on the other side. Whatever you do to this side, you do to the other side. So it becomes
2:8
Add the numbers together to find the total number of parts. You get 10 in this ratio, so it must be the answer.
i need help please!!!!
Answer:
1/12 i hope this is correct i think so i did it in my calculator so i hope it helps
Step-by-step explanation:
Kenneth is 10 years older than Andrew. Billy is 2 times as old as Andrew. Cameron is 8 years younger than Andrew. The combined age of the four is 77. How old is each boy?
Answer:
[tex]a=15\\b=30\\c=7\\k=25[/tex]
Step-by-step explanation:
[tex]77=a+k+b+c[/tex]
[tex]b=2a[/tex]
[tex]c=a-8[/tex]
[tex]k=10+a[/tex]
[tex]77= a+2a+(a-8)+(a+10)[/tex]
[tex]77=3a+(2a+2)\\77-2=3a+2a\\75=5a\\[/tex]
Plz Help and Thank you :/
Answer:
I believe c is correct
Length breadth and height of a room are 5 metre 4 metre and 4 metre Calculate its area
Answer:
Area = L x B
= 5m x 4m =20m square
if 3 times a number added to 2 is divided by the number plus 9 the result is 5 halves. find the number
Answer:
2/7
Step-by-step explanation:
What is the value of x in the equation (4x – 1) - 3x =
<= -(x + 2)?
1 3 19
16 16 16
3
X =
Answer:
Step-by-step explanation:
x − 1. _. 3. = 3 by 3 gives x − 1 = 9 and then adding 1 to both sides of x − 1 = 9 gives x = 10. Choices A, B ... written as the equation 16 + 4x = 10 + 14, which is equivalent to 16 + 4x = 24. Subtracting
Jason bought 10 of the 30 raffle tickets for a drawing. What is the probability that Jason will win all 3 of the prizes if once a raffle ticket wins a prize it is thrown away? StartFraction 6 over 203 EndFraction StartFraction 1 over 27 EndFraction StartFraction 3 over 29 EndFraction StartFraction 1 over 9 EndFraction
Given:
Total of raffle tickets = 30
Number of tickets Jason bought = 10
Number of prizes = 3
To find:
The probability that Jason will win all 3 of the prizes if once a raffle ticket wins a prize it is thrown away.
Solution:
Total of raffle tickets = 30
Number of prizes = 3
So, number of total outcomes is
[tex]n(S)=^{30}C_3[/tex]
Number of tickets Jason bought = 10
So, number of favorable outcomes is
[tex]n(A)=^{10}C_3[/tex]
Now,
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
[tex]\text{Probability}=\dfrac{n(A)}{n(S)}[/tex]
[tex]\text{Probability}=\dfrac{^{10}C_3}{^{30}C_3}[/tex]
[tex]\text{Probability}=\dfrac{\dfrac{10!}{(10-3)!3!}}{\dfrac{30!}{(30-3)!3!}}[/tex]
[tex]\text{Probability}=\dfrac{10\times 9\times 8\times 7!}{7!3!}\times\dfrac{27!3!}{30\times 29\times 28\times 27!}[/tex]
[tex]\text{Probability}=\dfrac{10\times 9\times 8}{30\times 29\times 28}[/tex]
[tex]\text{Probability}=\dfrac{6}{203}[/tex]
Therefore, the correct option is A.
Answer:
The correct answer is A. 6/203
why do terms have to be like terms?
Answer:
Like terms are terms that contain the same variables raised to the same power. Only the numerical coefficients are different. In an expression, only like terms can be combined. We combine like terms to shorten and simplify algebraic expressions, so we can work with them more easily.
One-third of a number decreased by six equals eight. What is the number?
6
14
24
042
It's 42.
The equation would be 1/3n - 6 = 8.
Just plug in each number in the place of 'n' then see what actually equals 8.
Scott and Nikki each have a full 1.5-gallon container of liquid laundry detergent. The lid on Scott's container can hold 3 fluid ounces of detergent, while the lid on Nikki's container can hold 4 fluid ounces of detergent. How many more lids full of detergent does Scott have than Nikki? 10 lids 16 lids 48 lids 64 lids
Given:
Scott and Nikki each have a full 1.5-gallon container of liquid laundry detergent.
Lid on Scott's container can hold 3 fluid ounces of detergent.
Lid on Nikki's container can hold 4 fluid ounces of detergent.
To find:
The number of lids full of detergent Scott have more than Nikki.
Solution:
We know that,
1 gallon = 128 fluid ounces
1.5 gallon = 192 fluid ounces
Lid on Scott's container can hold 3 fluid ounces of detergent. So, number of lids full of detergent Scott have is
[tex]\dfrac{192}{3}=64[/tex]
Lid on Nikki's container can hold 4 fluid ounces of detergent. So, number of lids full of detergent Nikki have is
[tex]\dfrac{192}{4}=48[/tex]
Difference between number of lids is
[tex]64-48=16[/tex]
Therefore, Scott have 16 lids more than Nikki. Hence, the correct option is B.
Answer: it is 16
Step-by-step explanation:
If the area of the rectangle is given by the polynomial 2x^2-7x-15, what is the dimension of the reactangle in terms of x?
Answer:
x - 5 and 2x + 3Step-by-step explanation:
GivenArea of rectangle = 2x^2 - 7x - 15To findDimensions of rectangleSolutionSince the area is the product of the sides, let's try to factorize the given:
2x^2 - 7x - 15= 2x^2 - 10x + 3x - 15 =2x(x - 5) + 3(x - 5) =(x - 5)(2x + 3)So the dimensions are:
x - 5 and 2x + 3For the equation y+1= -3(x-5) the line contains the point (5,-1) and has a slope of?
Answer:
I think its (0,-3)
Step-by-step explanation:
I took the coordinates you gave me and placed they X axis where the X was and put the Y axis where the Y was and got that answer
The required slope of the line is -3 for the equation y + 1 = -3(x-5) the line contains the point (5,-1).
What is the slope of the line?The equation for a line in slope-intercept form is given by y = mx + b, where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis).
To put the equation y + 1 = -3(x - 5) into slope-intercept form, we need to solve for y. We can do this by subtracting 1 from both sides of the equation, which gives us y = -3(x - 5) - 1. We can then distribute the -3 on the right side of the equation to get y = -3x + 15 - 1. Finally, we can simplify this to get y = -3x + 14.
In this equation, m = -3 and b = 14. We can verify that this is the correct equation by substituting the coordinates of the point (5,-1) into the equation and solving to see if the equation is true. When we substitute the values into the equation, we get -1 = -3(5) + 14, which is true.
Therefore, the slope of the line is m = -3.
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