Answer:
The Cost of yellow shirts is $15 and the cost of purple shirt is $ 60
Step-by-step explanation:
Let cost of one yellow shirt be x
and the cost of one purple shirt be y
On Monday
5x + 7y = 165--------------------(1)
On Tuesday
4x + 11y = 213----------------------(2)
To solve (1) and (2)
multiplying eq(1) with 4
20x + 28y = 660--------------------(3)
multiplying eq(2) with 5
20x + 55y = 1056-------------------(4)
Subtracting (3) from (4)
20x + 55y = 1056
20x + 28y = 660
(-)
-----------------------------------
0x +27y = 405
-----------------------------------
y = 15
Substituting y value in eq(1)
5x + 7(15) = 165
5x + 105 =405
5x =405 -105
5x =300
x = \frac{300}{5}
x =60
Answer:
between 45% and 51%
Step-by-step explanation:
Data provided:
Margin of error = plus or minus 3%
Confidence level = 95%
Number of voters asked = 1,000
Respondents considered themselves independent = 48%
Now,
adjusting the margin of error in the result
we get
the range as:
lowest value of range percentage of independents among voters in Maine
= 48% - 3%
= 45%
and,
Highest value of range percentage of independents among voters in Maine
= 48% + 3%
= 51%
Hence,
the percentage of independents among voters in Maine are between 45% and 51%
12 boxes
each contains 24 cans of soup
number of cans total=number of boxes times number of cans per box
total=12 times 24
tota=288
answer is 288 cans
Answer: 8 times.
Step-by-step explanation:
I will answer in English:
This says:
The volume of a cube is 125cm^3
How many times the volume will increase if we duplicate the lenght of the side?
If L is the lenght of the side, we have that the volume of the cube is:
V = L^3
If we duplicate the lenght of the side, the new volume is:
V = (2*L)^3 = 8*L^3
So we can see that the volume of the new cube is 8 times the volume of the previous cube.
Now, we can do the math, for our original cube we have:
L^3 = 125cm^3
L = 5cm
the new cube has L' = 2*L = 10cm
The volume of this cube is:
V' = L'^3 = 10cm^3 = 1000cm^3
the ratio V'/V is:
1000cm^3/125cm^3 = 8
Answer:
00:13 mm:ss
Step-by-step explanation:
There are 60 seconds in a minute. This fact can be used to convert the time period(s) to minutes and seconds either before or after you do the subtraction.
<h3>Difference</h3>
It is often convenient to do arithmetic with all of the numbers having the same units. Here, we are given two values in seconds and asked for their difference.
100 s - 87 s = (100 -87) s = 13 s
The difference between the two time periods is 0 minutes and 13 seconds.
<h3>Conversion</h3>
If you like, the numbers can be converted to minutes and seconds before the subtraction. Since there are 60 seconds in a minute, the number of minutes is found by dividing seconds by 60. The remainder is the number of seconds that will be added to the time in minutes:
87 seconds = ⌊87/60⌋ minutes + (87 mod 60) seconds
= 1 minute 27 seconds
100 seconds = ⌊100/60⌋ minutes + (100 mod 60) seconds
= 1 minute 40 seconds
Then the difference is found in the same way we would find a difference involving different variables. (A unit can be treated as though it were a variable.)
(1 min 40 s) -(1 min 27 s) = (1 -1 min) + (40-27 s) = 0 min 13 s
The difference between the two time periods is 0 minutes and 13 seconds.