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.
Which of the following does not have the same value as 15 ^6
Answer:
B
Step-by-step explanation:
(15^3)^3 because the exponent outside of the parentheses multiplies both the 15 and the exponent inside the parentheses, so it's not 15^6, its 15^2 ^6
Please help me thankso
Answer:
68, 17, $17
Step-by-step explanation:
filling in the first blank using the chart. Money made for 4 sweatshirts is $68
68/4=17, this is the unit price, meaning the amount it would cost for one sweatshirt. Thats where we get the next blank's answer. 17/1 and since we found the unit price, we already answered the last question, $17 per sweatshirt.
58 x 64 is the same as:
(64 x 50) + (64 x )
What number goes in the space?
help please
Lilian purchased a violin form smash music stores. It regularly sold for $670, but wa son slaw for 10% off. She also had to pay 8% sales tax. She bought it on the installment plan and paid 15% of the total cost with tax as a down payment. Her payments were $58 per month for one year.
Complete question :
Lilian purchased a violin form smash music stores. It regularly sold for $670, but wa son slaw for 10% off. She also had to pay 8% sales tax. She bought it on the installment plan and paid 15% of the total cost with tax as a down payment. Her payments were $58 per month for one year. What is her sales tax?
Answer:
$48.24
Step-by-step explanation:
Given that:
Sales price = 670
Discount = 10% off
Sales tax = 8%
Discounted price = (1 - 0.1) * 670
Discounted price = 0.9 * 670 = $603
Hence, purchase price = $603
Hence, sales tax = 8% of purchase price
8% of $603
0.08 * 603 = $48.24
Which equation represents the graphed function
THIS IS STATEMENT AND REASON PLSS HELP!
Answer:
Line FH is the same as FK
Step-by-step explanation:
The triangle on the left is the same on the right, but inverted. This is proved because lines eh equals gk and angle e and g are the same.
Answer:
line fh is the same as fk
Isaiah had debt of $440 on his credit card and then paid back $200 . What is the balance of his credit card now
Answer:
240
Step-by-step explanation:
440 - 400 = 240. i cant really explain-
What is the slope of the line?
Answer:
The slope of the line is y=1x+1.5
Step-by-step explanation:
so the slope is 1/1 which is 1 only
Answer:
4/5
I hope this helps dkdmdmjsdk
True or False: A prime number has exactly 2 factors
O True
O False
Answer:
I’d say false
Step-by-step explanation:
literally putting this at 45 points. can someone help me please
Answer:
15.4%Step-by-step explanation:
Volume of a cylinder:
V = πr²hContainer A
r = 10 ft, h = 11 ftV = π*10²*11 = 1100π ftContainer B
r = 7 ft, h = 19 ftV = π*7²*19 = 931π ft²After pump out the container A has the level of:
1100π - 931π = 169πLevel % in the container A:
169π/1100π×100% = 15.4% rounded to the nearest tenthMai skated x miles, and Clare skated 35 3 5 farther than that. Write an equation to represent the relationship between the distance Mai skated (x) and the distance Clare skated (y). BoldItalicUnderline
Answer:
[tex]y = \frac{3}{5} + x[/tex]
Step-by-step explanation:
Given
Represent Mai's distance as x and Clare's distance as y
[tex]Mai = x\ miles[/tex]
[tex]C = \frac{3}{5}[/tex] farther than Mai
Required
Determine the relationship between both
[tex]C = \frac{3}{5}[/tex] farther than Mai
Substitute x for Mai
[tex]C = \frac{3}{5}[/tex] farther than x
Express as a mathematical expression:
[tex]C = \frac{3}{5} + x[/tex]
Recall that Clare's distance is represented by y.
So, we have:
[tex]y = \frac{3}{5} + x[/tex]
Hence, the relationship is: [tex]y = \frac{3}{5} + x[/tex]
Answer: Mai skated x miles, and Clare skated 3/5 farther than that. Write an equation to represent the relationship between the distance Mai skated (x) and the distance Clare skated (y).
Step-by-step explanation:
PLZ HELP THAI IS DUE IN AN HOUR
According to the graph below. What is the distance traveled
in five hours?
Answer:
the answer is 200 miles
Step-by-step
56 = 17n - 29
what is the value of n
Answer:
n=5
Step-by-step explanation:
take 29 add to 56 then divided by 17
Answer:
5
Step-by-step explanation:
56 = 17n - 29
-17n = -29 - 56 [remember: when u transfer a positive number it becomes negative and when u transfer a negative number it becomes positive]
-17n = -85
n = -85/-17
n = 5
hope u understood^^
t to the second power - 12w ÷ x
t=8
w=1/2
x=3
Answer:
62
Step-by-step explanation:
Since we know what each value of the three variables are, you can substitute each variable in the expression to get:
[tex]8^{2} -12(\frac{1}{2})[/tex] ÷ 3
Simplify to get:
64 - 6 ÷ 3
Solve the rest:
64 - 2 → 62
Answer: 62
Hope this helps! :)
desribe what the value of 3/7 as a decimals would look like.
Given the e(t) = 1.8t + 25
How many feet had Evie ran after 14 seconds? Round to the nearest whole second.
easy math please help
Answer:a and d
Step-by-step explanation:
48 is what percentage of 24?
Answer: 50%
Step-by-step explanation:
24 divided by 48 is 0.50 so 50%
Answer:
200%
Step-by-step explanation:
2=200% and 24 × 2 = 48
Which two elements are most likely to have similar physical properties?
A. copper and zinc
B. copper and silver
C. cadmium and indium
D. gallium and cadmium
Answer:
b
Step-by-step explanation:
BRAINLIEST: Solve for x: x^3=25
Answer: decimal form is
2.92401773 or 2.92
Step-by-step explanation:
Answer:okay so it would be [tex]\sqrt{x} 25[/tex] without the little x though
Step-by-step explanation:
what is an equivalent fraction to 9/28 ?
Answer:
18/56
Step-by-step explanation:
Answer:
18/56
Step-by-step explanation:
9/28= 18/56
for the top 1 I multiplied the numerator and denominator by 2 and then when you simplify it you get 9/28
Write the equation for the line
Answer:
y=4x+3
Step-by-step explanation:
The slope is positive 4 and the y intercept is 3
Answer:
y = 4x + 3
Step-by-step explanation:
y = mx + b
m is the slope and b is the y-intercept
The slope is how much units it goes up/down while how much units it goes left/right from one point to the other. So two points we'll use for reference is (-1, -1) and (0, 3). You want to make sure the points u choose are whole numbers cause they're easier to tell. So the distance between those 2 points if it goes to the right once and goes up 4 units. Left/right is x and up/down is y, y/x is how u write the slope. So it's 4/1 which is just 4
The y-intercept is just where the line intercepts on the y-axis. The line goes through the point 3 on the y-axis, so it's 3
Input the numbers in the equation and it's y = 4x + 3
what is the surface area of a cube with a base edge of 8 mm
Answer:
8 mm
Step-by-step explanation:
A=3.84×10-4m²
Solve for x. 2.5/10 = x/35
Answer:
x is 8.75
Step-by-step explanation:
cross multiplying
10x = 35(2.5)
10x = 87.5
x = 8.75
What is the fifth term in the sequence 17.3, 34.3, 51.3, 68.3...?
A 77.7
B 85
C 85.3
D 89.7
The fifth term in the sequence would be C.
Jocelyn estimates that a piece of wood measures 5.5 cm. If it actually measures 5.62 cm, what is the percent error of jocelyns estimate?
Answer:
12%
Step-by-step explanation:
So 5.5 to 5.62 is .12
Then calculate the difference of 5.5 *.12=0.66
Then do “0.66 is what percent of 5.5?”
The answer is 12%
Thank you for reading, and mark this brainliest
There is a leaky faucet in a bathroom, and Joey places a bucket underneath the faucet. After 2/3 of an hour, 1/8 cup of water has been collected in the bucket. At what rate, in cups per hour, is water leaking from the faucet?
A. 1/12
B. 3/16
C. 13/24
D. 19/24
—
please help-
Answer:c
Step-by-step explanation:
i think
Answer:
B
Step-by-step explanation:
You have to divide the fractions and make the answer a reciprocal.
Hope this helps!
An amusement park has two types of season passes. Plan 1 charges a one-time fee of $175.00 for admission plus $8.00 every trip for parking
Plan 2 charges a one-time fee of $125.00 for parking plus $13.00 every trip for admission. For what number of trips is the cost of these plans
the same?
Answer:
The answer is stan twice
Step-by-step explanation:
simple
Answer:
x=10
Step-by-step explanation:
Simplify.
(22-7y+6)-(-4y2 + 3y+5)
Answer:
4y^2 - 10y + 23
Step-by-step explanation:
Answer:
Step-by-step explanation:
(22 - 7y + 6) - (-4y² + 3y + 5) = 22 + -7y + 6 + 4y² - 3y - 5
= 22 + 6 - 5 - 7y - 3y + 4y²
= 23 - 10y + 4y²