In a 3 digit number, the tens digit equals to the sum of the hundreds digit and the units digit. The hundreds digit of this number is 3 more than the units digit. If the digits were reserved, the new number is 11 less than half of the original number. Find the original number. Brainly
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.
what is the GCF of 40 and 72?
Answer: 8
Step-by-step explanation: The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40
The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
This means the greatest common factor is 8.
if henry has 8 apples , and josh ate 5 . how many apples does henry have?
Answer:
Henry has 3 apples
Step-by-step explanation:
What is the slope of the line through (2,-2)and(9,3)?
Answer:
5/7
Step-by-step explanation:
y2-y1/x2 -x1
3 - (-2)/9-2
3+2/9-2
5/7
Answer:
M=5/7Step-by-step explanation:
Hope this helps!! Please consider marking brainliest! Have a good one!!
Solve the following
1. 6(22-17)+(33)
2. If Kate's Flight lasts 12 hours and she had already traveled 7 miles in 1 hour how many miles does she have left to travel
Answer:
1. = 63
2.= 77 miles
Step-by-step explanation:
Answer:
hope this helps
Step-by-step explanation:
1. 6(22-17)+(33)
=132-102+33
=30+33
=63
2. The answer is 77 miles
how do you find the y - intercept (explain in sentences)
During the school day, you spend 2 hours in math, 1 hours in science, 2 hours in ELA and 1 hour in art and 2 hours at a friends house studying for your math tests. What percent of the time do you spend at your friend's house studying for your math tests?
Answer:
Step-by-step explanation:
More than two hours of homework may be counterproductive, research suggests. GSE scholar Denise Pope finds that students in high-achieving schools who spend too much time on homework experience more stress and health problems. ... Students in these schools average about 3.1 hours of homework each night
will make brainleist find the value of ar in the figure below if re is parallel to bc show your work
The value of the variable x is 5. Then the value of length AR will be 2.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The triangle ΔABC is given.
There is a line segment RE which is parallel to the BC.
Then the triangle ΔABC and triangle ΔARE will be the similar triangles.
Then the ratio of the corresponding side will be constant.
(x – 3) / (x – 1) = 5 / 10
2(x – 3) = x – 1
2x – 6 = x – 1
x = 5
Then the value of AR will be
AR = x – 3
AR = 5 – 3
AR = 2
More about the triangle link is given below.
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please help it's the SLOPE
Answer:
[tex] - \frac{4}{5} [/tex]
Step-by-step explanation:
Please see the attached picture.
[tex]slope \\ = \frac{1 - ( - 3)}{ - 3 - 2} \\ = \frac{1 + 3}{ - 5} \\ = - \frac{4}{5} [/tex]
☆In the gradient formula,
(x1, y1) is the first coordinate and (x2, y2) is the second coordinate.
Please help me! Picture below!!
Answer:
The answer is 256
What is 60/7 converted to a mixed number and simplified
Answer:
847
Step-by-step explanation:
brainlest plzzzz
Evaluate the function: f (x)=4x-1. Find f (5)
Answer:
f(5)= 4(5)-1
=20-1
=21
The evaluated value of f(5) is 19, which is determined by performing the arithmetic operations.
The linear function is given as follows:
f(x) = 4x - 1
To evaluate the function f(x) = 4x - 1 and find f(5), we substitute x = 5 into the function.
f(5) = 4(5) - 1
= 20 - 1
= 19
Therefore, f(5) is equal to 19.
The function f(x) = 4x - 1 represents a linear equation. In this case, when x is equal to 5, the value of f(x) can be calculated by substituting x = 5 into the equation.
By performing the necessary arithmetic operations, we find that f(5) is 19.
Learn more about the functions here:
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What is 38,050,000 expressed in scientific notation?
O A. 3.805 x 108
O B. 0.3805 x 108
O C. 0.38 x 10-8
O D. 3.805 x 107
Answer:
I think it is 3.805 × 10 to the 7th power
Step-by-step explanation:
Hope this helps!
Answer should be B/0.3805 x 108
Step-by-step explanation:
if I'm wrong please tell me and I will try to correct it :)
a full glass of water can hold
Answer:
1/6 of a bottle
Step-by-step explanation:
i looked it up lol
Slope of 3,4 and 0,-2
Answer:
The answer is m=2/3
Step-by-step explanation:
Answer:
[tex]-2[/tex]
Step-by-step explanation:
In order to find the answer you need to use the formula for slope and solve, simplifying if needed.
[tex]Slope=\frac{y^2-y^1}{x^2-x^1}[/tex]
[tex](y^2,y^1)=(-2,4)[/tex]
[tex](x^2,x^1)=(0,3)[/tex]
Substitute:
[tex]\frac{-2-4}{0-3}[/tex]
Solve:
[tex]-2-4=-2+-4=-6[/tex]
[tex]0-3=-3[/tex]
[tex]=\frac{-6}{-3}[/tex]
Simplify:
[tex]-6\div3=-2[/tex]
[tex]-3\div3=-1[/tex]
[tex]=\frac{-2}{-1}[/tex]
[tex]\frac{-2}{-1} =-2[/tex]
[tex]=-2[/tex]
Hope this helps.
X + Y = 110
Y = 2X + 20
10x-3=-5x-18
I don’t know can some one help
Answer:
x=-3 (x equals negative three)
Explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
A wire is needed to support a vertical pole 4 feet tall. The cable will be anchored to a stake 3 feet from the base of the pole. How
much cable is needed?
4 ft
3 ft
A cable of length
feet is needed.
Enter your answer in the answer box.
Answer:
I think its 5 feet
Step-by-step explanation:
I used Pythagorean theorem
Solve for x. What type of angles
are they?
112ºxº
Answer:
x=68
Step-by-step explanation:
180-112=68
180=112+x
stright line is 180 degrees
how many times does 67 117
Which expression is the simplest form of
(x4/7)^7
Answer:
16384x^7 / 823543 wirte like a fraction
Step-by-step explanation:
Questions in pic plz help
Answer:
i think its c
Step-by-step explanation:
Please help!! Will mark brainliest
Answer:
21
Step-by-step explanation:
The senior class at James High School is planning a trip to Orlando, Florida. The total cost for each student is $192.47. A local agency made a donation of $948.00. The money will be divided equally between the 24 seniors who are going. The senior class president, Ashley, has already saved $62.00. How much more must she earn to cover her cost of the trip?
Answer:
yyyyyyyyyy i neeed help to
Step-by-step explanation:
Answer:
it is. 90.97 option A
A file that is 261 megabytes is being downloaded. If the download is 18.7% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth
Answer:
48.8
Step-by-step explanation:
i cant seem to get this i feel so dumb
Answer:
You are not dumb, I might be though.
Step-by-step explanation:
HELP please again ;-;
Answer:
[tex] \frac{1}{2} [/tex]
Hope this helps!
Answer:
Step-by-step explanation:
Slope= (y1-y2)\(x1-x2)=(3-4)\(6-8)=0.5
expanding the question x(x + 2)
Answer:
x^2 + 2x ?
Step-by-step explanation:
Sorry I dont understand math good hope this helps..
Round 87,365,219 to the nearest million
Answer:
87,000,000
Step-by-step explanation:
The millionths place in 87,365,219 starts at 7.
87,365,219
The rhyme that I learned for this when I was younger was: 5 and above give it a shove, 4 or below, let it go.
The number 3 after the 7 is less than five so you would have to let it go. So, everything after 7 would become zeros and you would not round 7 up.
Your final answer becomes 87 million
Hope this helps! :)
After rounding 87,365,219 to the nearest million, the number is 87000000.
Rounding number to the nearest millionFocus on the digit in the next position to the right for rounding a number to the nearest million. If the number is 5, round up and if the number is 4 or less than 4, round down.
How to round the given number to the nearest million?Consider the following figure.
The hundred thousand place number is 3 which is less than 4.
Thus, round down to 87000000.
Therefore, after rounding 87,365,219 to the nearest million, the number is 87000000.
Learn more about the rounding number to the nearest million here -
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Suppose that prices of recently sold homes in one neighborhood have a mean of $265,000 with a standard deviation of $9300. Using chebyshev's theorem, state the range in which at least 88.9%of the data will reside
Answer:
Range = (237100, 292900)
Step-by-step explanation:
Using Chebyshevs Inequality:
[tex]P(|X - \mu | \le k \sigma )\ge 1 -\dfrac{1}{k^2}= 0.889[/tex]
[tex]1 -\dfrac{1}{k^2}= 0.889[/tex]
[tex]\dfrac{1}{k^2}= 1- 0.889[/tex]
[tex]\dfrac{1}{k^2}=0.111[/tex]
[tex]k = \sqrt{\dfrac{1}{0.111}}[/tex]
[tex]k \simeq 3[/tex]
Thus, 88.9% of the population is within 3 standard deviation of the mean with the Range = μ ± kσ
where;
μ = 265000
σ = 9300
Range = 265000 ± 3(9300)
Range = 265000 ± 27900
Range = (265000 - 27900, 265000 + 27900)
Range = (237100, 292900)