The sum of digits of a 3 digit number is 12. Three times the hundreds digit minus twice the tens digit is 5. If six time the units digit is added to four times the tens digit, the result is 50. Find the number.
Answers
xyz
x+y+z=12
3x-2y=5
6z+4y=50
so multiply 3x-2y=5 by 2
6x-4y=10
add to 6z+4y=50 and get
6x+6z+4y-4y=10+50
6x+6z=60
distribute
6(x+z)=6(10)
divide both sides by 6
x+z=10
subsitute 10 for x+z in the first equation
10+y=12
y=2
subsitute
3x-2(2)=5
3x-4=5
3x=9
x=3
x+z=10
3+z=10
z=7
x=3
y=2
z=7
number is
327
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Complete the following equation using <, >, or = 100% ___ 1
Answers
Answer:
153.1 square unit
Step-by-step explanation:
for rectangle
length = 16
breadth = 8
area of rectangle = l*b
=16*8
=128 square unit
semicircle
diameter =8
area of semicircle =πd^2/8
=3.14 * 8^2 /8
=3.14 *64/8
=200.96/8
=25.12 square unit
area of the givem figure = area of rectangle + area of semicircle
=128 + 25.12
=153.12
=153.1 square unit
Final answer:
To find the area of the figure made up of a rectangle and a semicircle, calculate the areas of both shapes and add them together. Use the formula for the area of a rectangle, and calculate the area of the semicircle by finding half the area of a full circle with the same radius. Finally, sum up the areas to find the total area of the figure.
Explanation:
To find the area of the figure, we need to find the areas of the rectangle and the semicircle, and then add them together. The area of the rectangle is found by multiplying its length by its width. The area of the semicircle is half the area of a full circle with the same radius. Finally, we add the two areas together to get the total area of the figure.
Let's assume the length of the rectangle is 10 units and the width is 5 units. The area of the rectangle is then 10 units * 5 units = 50 units^2. If the radius of the semicircle is 3 units, the area of the semicircle is half the area of a full circle with radius 3 units, which is 1/2 * 3.14 * 3^2 = 14.13 units^2 (rounded to the nearest tenths place).
Therefore, the total area of the figure is 50 units^2 + 14.13 units^2 = 64.13 units^2 (rounded to the nearest tenths place).
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0
2
3
4
Answers
Answer:
4 is inncorect but idk the answer
Step-by-step explanation:
Answer:
Step-by-step explanation:
2 Is correct
In 2017, she was awarded a 2% pay increase on her monthly salary.
Given that in 2017 Alicia worked 45 hours per week for 48 weeks,
work out her average pay per hour for the year.
Answers
Final answer:
To calculate Alicia's average pay per hour for the year, we need to find her total earnings for the year and divide it by the total number of hours she worked.
Explanation:
To calculate Alicia's average pay per hour for the year, we need to find her total earnings for the year and divide it by the total number of hours she worked. In 2016, Alicia earned £1750 per month, so her annual salary would be £1750 x 12 = £21,000.
In 2017, she received a 2% pay increase, which means her monthly salary would be £1750 + 2% of £1750 = £1750 + (£1750 x 0.02) = £1750 + £35 = £1785.
Since Alicia worked 45 hours per week for 48 weeks in 2017, her total number of hours worked for the year would be 45 hours/week x 48 weeks = 2,160 hours. Now, we can calculate her average pay per hour by dividing her total earnings (£1785 x 12) by the total number of hours worked (2,160): £1785 x 12 / 2,160 = £10 per hour.
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AnswerAverage pay per hour 19.15
Step-by-step explanation:
1750 + 2% = 1785 pay increase
1785 x 12 months = 21420 a year
21420 divided by 52 weeks in a year averages to 411.92 weekly
Divide 411.92 by the 45 hours of work is 19.15 per hour
Brainliest please, if correct.
Answers
Answer:
a(n) = 48*(1/4)^(n - 1)
Step-by-step explanation:
Here the first term, a(1), is 48 and the common ratio is r = 1/4.
Thus, the specific formula for the information given is
a(n) = 48*(1/4)^(n - 1)
is the distance in Scienu fic Notalion?
Answers
Answer: 4.76e5
Step-by-step explanation:
Answers
Answer:
the median is 2
Step-by-step explanation:
Answer:
Third Option.
Step-by-step explanation:
First Option:
The mode means the option that is selected the most.
There are 7 votes for 1 state, hence 1 is the mode as it is voted the most.
FALSE.
Second Option:
The median means the middle when arranged in numerical order.
Arranging them:
If you look for the middle term, it is 2 which is the median.
Therefore, the median is not 3.
FALSE.
Third Option:
Four out of 5 students lived in only 1 or 2 states.
12 students live in only 1 or 2 states.
If we count the number of people living in 1 or 2 states, we get 12.
TRUE.
Fourth Option:
There is no data for 7 states.
FALSE.