Answer:
The original number is 572.
Step-by-step explanation:
Let the 3 digit number by xyz.
Where x is the hundreds digit, y is the tens digit and z is the units digit.
Hence, the digit is (100x + 10y + z).
From the question, the tens digit equals to the sum of the hundreds digit and the units digit.
That is,
y = x + z ...... (1)
Also, from the question, the hundreds digit of this number is 3 more than the units digit.
That is,
x = z + 3 ...... (2)
Also, from the question, If the digits were reserved, the new number is 11 less than half of the original number
If the digit were reversed, that is xyz becomes zyx. Then, the new number is (100z + 10y + x).
the new number is 11 less than half of the original number
That is,
(100z + 10y + x) + 11 = 1/2(100x + 10y + z)
This becomes
200z + 20y + 2x + 22 = 100x + 10y + z
200z - z +20y -10y +2x - 100x = -22
199z + 10y -98x = -22 ...... (3)
Solving the equations simultaneously,
Put the value of x in equation (2) into equation (1)
x = z + 3 ...... (2)
y = x + z ...... (1)
That is,
y = (z+3) + z
y = 2z + 3 ...... (4)
Put the value of y in equation (4) into equation (3)
199z + 10y -98x = -22
199z + 10(2z +3) -98x = -22
199z + 20z + 30 -98x = -22
219z -98x = -22-30
219z -98x = -52 ...... (6)
Put the value of x in equation (2) into equation (6)
219z -98(z+3) = -52
219z -98z -294 = -52
121z = -52 + 294
121z= 242
z = 242/121
∴ z = 2
Put the value of z into equation (2)
x = z + 3
x = 2 + 3
∴ x = 5
Put the values of z and x into equation (1)
y = x + z
y = 5 + 2
∴ y = 7
Hence, x = 5, y = 7 and z = 2.
Recall that the original number is 100x + 10y + z.
100x + 10y + z = 100(5) + 10(7) +2 = 500 + 70 + 2 = 572
Hence, the original number is 572.
Please help I’ll give you brainliest
Jim's timecard is below. For each day figure out the total hours he
worked (a-e), and find the total number of hours he worked for the week. Please help
TOTAL
OUT
4:30
5:00
a.
b.
Monday
Tuesday
Wednesday
Thursday
Friday
IN
8:30
8:30
8:30
8:00
8:30
OUT
11:30
12:30
11:30
12:00
11:30
IN
12:30
1:00
12:00
12:30
12:30
C.
d.
6:00
6:30
7:30
Total
e.
f.
Answer:
a. 7
b 8
c 9
d 10
e 10
f 44
Step-by-step explanation:
please solve this for me
Answer:
the square of -5 is 25 not -25
, -4(1)(-3) is 12 not -12 because when we multiply 2 negative numbers their result is positive
+5 should be written instead of -5
Step-by-step explanation:
+5 should be written instead of -5 as the formula is (-b+-(b²-4ac)½)/2a . since b=-5 ;-b=+5
ASAP HELP FOR BRAINLIEST!!!
A basketball player's goal was to score at least 275 points in the season. So
far, he has scored 212. If there is one game left, how many points must he
score to reach his goal? Be sure to include an inequality to represent this
scenario.
Answer:
63 more points
Step-by-step explanation:
275(goal) - 212(current points) = 63(points needed)
Check your work: 212+63=275
He needs to score 63 points
Thomas is purchasing notebooks for
school. He has $25 to spend and each
notebook costs $4.15. How many
notebooks can he buy if he must first
buy a calculator for $8.64?
Answer:
4
Step-by-step explanation:
I need help with those 2 the rest I know. I just don’t know what that means.
Answer:
What are the problems?
Step-by-step explanation:
What is the cost of the bill if a drink costs $3, a meal costs $20, an appetizer costs $5.50 and a slice of cake cost $3. 75?
Help me out plssss!!!!
Answer: m=6.2t, 148.8 miles
Step-by-step explanation:
to figure out the equation we do 93/15=6.2 and we make it into a equation which is m=6.2t. since we know the butterfly travels 6.2 per hour we do 6.2 x 24 = 148.8
sorry if it's wrong
Santa's sleigh is powered by units of Christmas spirit. If 9/10 people show Christmas spirit Santa's sleigh will deliver all packages. If there are 13,000,000 people in Pennsylvania, how many people would have to show Christmas spirit for packages to be delivered in PA? Make sure to put commas in your answer and use a calculator if you need to. * 2 points
Answer: 11,700,000
Step-by-step explanation:
Number of people in Pennsylvania =13,000,000
Fraction of people that will show Christmas spirit for Santa's sleigh to deliver all packages = 9/10
The number of people that would have to show Christmas spirit for packages to be delivered in PA will be:
= 9/10 × 13,000,000
= 11,700,000
Mae Ling earns a weekly salary of $315 plus a 7.5% commission on sales at a gift shop. How much would
she make in a work week if she sold $4,900 worth of merchandise?
She would make $
Answer:
4400*7.5%=330+315=$645 a week
Step-by-step explanation:
Find the coordinates of the orthocenter of a triangle with vertices at each set of points on a coordinate plane. a. (0,0), (16,4), (4,6) b. (3,4), (11,12), (8,15)
Answer:
The answer is below
Step-by-step explanation:
a) The equation of a line passing through the point (0,0) and (16,4) is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-0=\frac{4-0}{16-4}(x-0)\\\\y=\frac{1}{4}x[/tex]
We have to find the equation of the line perpendicular to y = (1/4)x and passing through the point (4,6).
The line perpendicular to y = (1/4)x has a slope of -4 (product of their slope = -1).
Hence:
[tex]y- y_1=m(x-x_1)\\\\y-6=-4(x-4)\\\\y-6=-4x+16\\\\y=-4x+22[/tex]
The slope of a line passing through the point (16,4) and (4,6) is given by:
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{6-4}{4-16}=-\frac{1}{6}[/tex]
We have to find the equation of the line perpendicular to the line with slope of -1/6 and passing through the point (0,0).
The line perpendicular to a line with slope -1/6 has a slope of 6
Hence:
[tex]y- y_1=m(x-x_1)\\\\y-0=6(x-0)\\\\y=6x[/tex]
Solving y = 6x and y = -4x + 22, gives:
x = 2.2, y = 13.2
Hence the orthocenter is at (2.2, 13.2)
b)
The slope of a line passing through the point (3,4) and (11,12) is given by:
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{12-4}{11-3}=1[/tex]
We have to find the equation of the line perpendicular to the line with slope of 1 and passing through the point (8,15).
The line perpendicular to a line with slope 1 has a slope of -1
Hence:
[tex]y- y_1=m(x-x_1)\\\\y-15=-1(x-8)\\\\y=-x+8+15\\\\y=-x+23[/tex]
The slope of a line passing through the point (11,12) and (8,15) is given by:
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{15-12}{8-11}=-1[/tex]
We have to find the equation of the line perpendicular to the line with slope of -1 and passing through the point (3,4).
The line perpendicular to a line with slope -1 has a slope of 1
Hence:
[tex]y- y_1=m(x-x_1)\\\\y-4=1(x-3)\\\\y=x-3+4\\\\y=x+1[/tex]
Solving y = -x + 23 and y = x + 1, gives:
x = 11, y = 12
Hence the orthocenter is at (11, 12)
Write a function in any form that would match the graph shown below. please help :)
Answer:
0, -4
2,0
-4,0
-2,-8
Step-by-step explanation:
I chose the points that were most visable
A haircut cost $15. I left a 20% tip. How much was the haircut including the tip? PLEASE ANSWER WITH WORK
Answer:
$18
Step-by-step explanation:
15*.2=3
15+3=18
The haircut is $18 with tip included.
Answer:
$18
Step-by-step explanation:
15 haircut tip 20%
15 x .20= 3
15 + 3 = 18
divide the percent by 100 to get it in decimal form.
Jake has 3 1/2 hours before bedtime. He must spend 2 hours doing homework. The rest of his time will be spent doing puzzles. It takes jake 1/2 hour to complete each puzzle. Which equation models the number of puzzles, p, jake can complete before bedtime?
Answer:
3 1/2 puzzles
Step-by-step explanation:
HURRY THIS IS TIMED!! I'LL GIVE BRAINLIEST! Please answer the question attached:
Answer:
Answer A is Linear. You can see this because each term is equal to the previous term plus a fixed amount (3), making it an arithmetic sequence.
Answer B is not linear. This is because each term is a multiple of the previous one, making it a geometric sequence.
Answer:
Function A
Step-by-step explanation:
Each time x increases by 1, y increases by 3. Function B is exponential instead of linear, because y increases by a larger number each time rather than increasing by the same amount.
Good luck :)
Please HELP ME Ill GIVE BRAINLIEST!!!
A kennel in Bloomington offers daily boarding for dogs. The table below has the cost for different intervals. Which equation best represents this functional relationship?
Step-by-step explanation:
The patter is multiplying buy 20 after each number.
Can I actually get help and not people saying random stuff just for points????
pllllllllllllllllllllzzzzzzzzzzzzzzz hhhhhhhheeeeeeeeelllllllllllppppppppp
need the answer asap
Answer:
10,15
Step-by-step explanation:
Answer:
AC=39
Step-by-step explanation:
-x+25=3(2x-8)
-x+25=6x-24
49=7x
x=9
AC = 2(-9+25)=-11+50=39
Given X = {15, 22, 33, 44, 89, 165, 1025} and Y = {-5, 15, 33, 88, 99, 150, 160, 1025}, which of the following statements is false?
Ø (X Y)
X Y = {-5, 15, 22, 33, 44, 89, 99, 150, 160, 165, 1025}
X ∩ Y = {15, 33, 1025}
WHAT EVEN IS THIS LOL
Answer:
the first one
Step-by-step explanation:
in the first one it says there are no common numbers between x and y which is false.
in the second one its the union of x and y which means that you must list all numbers in x and y without repetition
the third one states that 15,33,1025 are the only numbers that are common between x and y.
so as a breif the first one is wrong
Answer:
first choice
Step-by-step explanation:
The length of a rectangle is 5 less than 3 times its width. The perimeter is
78. Find the LENGTH.*
Answer:
The length is 28 and the width is 11
Step-by-step explanation:
To solve this problem, we can make the width as x.
Since the length is 5 less than 3 times the width, it's going to be 3x - 5
So now we've got the length and width, just need to find the perimeter, which is all the sides added up together. They already gave us the perimeter, so we just have to solve the equation:
2(3x - 5) + 2x = 78
6x - 10 + 2x = 78
8x - 10 = 78
8x = 88
x = 11
x = 11, but remember, x is the width, not the length. Since we already found what x is, we just have to plug it into the equation of:
3x - 5
3 × 11 - 5
33 - 5 = 28
Answer: Length = 28 (don't forget to add the unit if there is one)
Ms. Walch works as a car salesperson. She earns a monthly base salary of $ 4,000 Plus $ 500 commission for each car she sells. How many cars does Ms. Walsh need to sell in a given month to earn a total salary of $ 10,000 for that month?
Answer:
20 cars
Step-by-step explanation:
10,000 ÷ 500 = 20
Answer:
2 cars
Step-by-step explanation:
4,000 + 500 = 4,500 x 2 =10,000
thus its 2 cars
What is the sample space of a single spin of the spinner
Answer:
The sample space of an experiment is the set of all possible outcomes of that experiment.
Answer:
Y, P, R, B (or something like that)
Step-by-step explanation:
just read what the other answer said
PLS HELP
The owner of a grocery store wants to mix two kinds of candy together to make 15 lb that he can sell for $5.00 per lb. He wants to use chocolate candies that he sells for $7.00 per lb and sugar candies that he sells for $2.00 per lb. How many pounds of each should the owner use?
_ pounds of chocolate candies
Answer:
9 pounds of chocolate candies
6 pounds of sugar candies
Step-by-step explanation:
x + y = 15
y = 15 - x
(7x + 2y) / 15 = 5
7x + 2y = 15 * 5 = 75
7x + 2 * (15 - x) = 75
7x + 30 - 2x = 75
5x = 45
x = 9
15 - 9 = 6
y = 6
9 pounds of chocolate candies and 6 pounds of sugar candies
The owner should use 6 pounds of the chocolate candies, and the other 9 pounds of the sugar candies.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given that owner of a grocery store wants to mix two kinds of candy together to make 15 lb that he can sell for $5.00 per lb.
He wants to use chocolate candies that he sells for $7.00 per lb and sugar candies that he sells for $2.00 per lb.
x + y = 15
y = 15 - x
(7x + 2y) / 15 = 5
7x + 2y = 15 x 5 = 75
7x + 2 (15 - x) = 75
7x + 30 - 2x = 75
5x = 45
x = 9
Now 15 - 9 = 6
y = 6
Threfore, we conclude that 9 pounds of chocolate candies and 6 pounds of sugar candies.
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ2
Blank% of 35 = 21 percent equations
Answer:
60%
Step-by-step explanation:
60% of 35 = 21
Simplify 1/2+2/3-1/4
Answer:
11/12
Step-by-step explanation:
What is the radian measure of an angle equal to 225 degrees????
Answer:
225° = 5π/4 radians.
Step-by-step explanation:
hope this helps :D
The radian measure of an angle of 225 degrees is 1.25π radian or 3.925 radians.
Given,
225 degrees.
We need to find the radian measure of 225 degrees.
What is the radian measure of an angle?
We have,
π radian = 180 degree
So,
2π = 360 degrees.
This is the formula for the radian of an angle.
Find the radian measure for 225 degrees.
We have,
π radian = 180 degrees
Multiply 225/180 on both sides by 180.
225/180 x π radian = 225/180 x 180 degrees
1.25 π radian = 225 degrees
or
We can take π = 22/7 = 3.14
225/180 x 3.14 radian = 225 degrees.
3.925 radian = 225 degrees
Thus the radian measure of an angle of 225 degrees is 1.25π radian or 3.925 radians.
Learn more about the measure of an angle from a radian here:
https://brainly.com/question/8916147
#SPJ2
48 out of 120 people at a fair bought fried Oreos. What percentage of the people bought fried Oreos?
1 point
Answer:
40%
Step-by-step explanation:
Answer:
it will be 40%
Step-by-step explanation:
because the formula of getting the answer is 48/120×100 which is 40
1. It's a 3-digit whole number 2. It's divisible by 4 3. It's divisible by 5 4. It's divisible by 11 5. It's divisible by 3
Answer: 660 is divisible by 2,4, 5, 11 and 3
Write in standard form the equation y - 9 = 1/3(x - 6).
Find the value of X please help
