I am a 3 digit positive number. The sum of my digits is 18. My middle digit is the product of -2 and -4. My first digit is 3^2.
Answers
Let y be the second digit.
Let z be the third digit.
x+y+z=18
y= (-2)(-4)
y= 8
x= 3^2
x= 9
Therefore z=1.
The number is
= 100x+10y+z
= 100(9)+10(8)+(1)
= 981
Hi! ⋇
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The first digit of this number is 3², which is 9.
The Number is : 9xx
________
The second digit is: -2·(-4)=8.
The Number is : 98x.
________
The sum of all the digits is 18. This gives us an equation that we can solve in terms of x!
\(\multimap\sf{9+8+x=18}\) (x is the digit we are looking for)
Now it takes a little arithmetic to find x :)
\(\multimap\sf{17+x=18}\). Just subtract 17 from both sides to find x!
\(\multimap\sf{x=1}\). And Now, can you see the number!
It's 981, of course :)
Hope this made sense to you!
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\(\large\it{\overbrace{Calligrxphy}}\)
Related Questions
help me now asap please
Answers
Answer:
C
Step-by-step explanation:
Let's first convert both Brooke's time and Lamont's time into the same unit so that we can more easily compare them. To make it simpler, we'll convert both times into minutes.
Brooke: 1 hr 45 min
We know that there are 60 minutes in 1 hour, so we essentially have:
60 min and 45 min ⇒ 60 + 45 = 105 min
Lamont: 115 min
This is already in minutes, so we don't have to do anything to it.
We now have 105 minutes for Brooke and 115 minutes for Lamont. Let's compare:
- Since we know Brooke took 105 minutes, we can eliminate A and B.
- Clearly, 105 < 115, which means Brooke took less time that Lamont to finish the race
- If Brooke took less time, that means she's faster.
Thus, the answer is C.
~ an aesthetics lover
Answer:
Time taken by Brooke = 1h 45min
= 60min + 45min
= 105min
Time taken by Lamont = 115min
Brooke finished in 105min, so she was faster.
Option 3 is correct.
a rectangular garden has a length that is twice its width. the dimensions are increased so that the perimeter is doubled and the new shape is a square with an area of 3600 square feet. what was the area of the original garden, in square feet?
Answers
The area of the original garden is 7200 square feet.
Given,
a rectangular garden has a length that is twice its width. the dimensions are increased so that the perimeter is doubled and the new shape is a square with an area of 3600 square feet.
we are asked to determine the area of the original garden = ?
let the width be x
and the length be 2x
area of the square = 3600 sq feet
Perimeter of the rectangle = 2(l+b)
⇒ 2(2x+x)
⇒ 2(3x)=6x
area of square = a²
a² = 3600
a = √3600
a = 60
now we get the width = 60
length = 2(60)
= 120
Now calculate the area of the rectangle:
= l×b
= 60 × 120
= 7200
hence we get the area as 7200 square feet.
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help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
Cubic function.
A cubic function is a polynomial function with the highest exponent equal to 3.
Write the equation, in slope-intercept form, of the line with slope 9 and y intercept (0, -13).
Answers
Answer:
y= 9x-13
Step-by-step explanation:
y=mx+b
m=slope
b= y intercept
The equation of the line with slope 9 and y-intercept (0, -13) is y = 9x - 13.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, A line has a slope of 9 and y-intercept (0, - 13).
Therefore, The equation of the line in slope-intercept form can be written as, y = 9x - 13.
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Hello! I need some assistance on this question, I do not understand it..
Answers
2. Mrs Davis bought furniture online. She had to pay 15% in shipping fees. The
items totaled $4,000. How much did the shipping cost?
Answers
Answer:
The shipping costed $600.
Step-by-step explanation:
4,000 * 15% = 600
or
4,000 * 0.15 = 600
POSSIBL
Mariko needs to solve the equation below for D. Which correctly describes the step he should take?
M=
= p
Subtract V from both sides.
Divide both sides by V.
Multiply both sides by V.
O Divide both sides by D.
1
2
which step should I take
Answers
Answer:
Divide both sides by V
Step-by-step explanation:
The equation is not well written.
Mariko needs to solve the equation below for D. Here is the equation:
M = DV
For Mariko to get D, he needs to make D the subject of the formula by dividing both sides of the equation by the coefficient of D i.e V as shown;
Divide both sides by V
M/V = DV/V
V at the denominator will cancel out the V at the numerator to have:
M/V = D
Rearrange
D = M/V
Therefore, the statement which correctly describes the step he should take is:
Divide both sides by V. Option B is correct.
The sum of three consecutive even integers is 72. What are the three numbers? List the numbers in order from least to greatest.
Answers
Answer:
22, 24, and 26
Step-by-step explanation:
hope this helps!
A portfolio is 70% invested in an index fund and 30% in a risk-free asset. The index fund has a standard deviation of returns of 15%. Calculate the standard deviation for the total portfolio returns.
Answers
The standard deviation for the total portfolio returns can be calculated using the weighted average of the standard deviations of the index fund and the risk-free asset. The standard deviation for the total portfolio returns is 10.5%.
The standard deviation of a portfolio measures the variability or risk associated with the portfolio's returns. In this case, the portfolio is 70% invested in an index fund (with a standard deviation of returns of 15%) and 30% invested in a risk-free asset.
To calculate the standard deviation of the total portfolio returns, we use the weighted average formula:
Standard deviation of portfolio returns = √[(Weight of index fund * Standard deviation of index fund)^2 + (Weight of risk-free asset * Standard deviation of risk-free asset)^2 + 2 * (Weight of index fund * Weight of risk-free asset * 1Covariance between index fund and risk-free asset)]
Since the risk-free asset has a standard deviation of zero (as it is risk-free), the second term in the formula becomes zero. Additionally, the covariance between the index fund and the risk-free asset is also zero because they are independent. Therefore, the formula simplifies to:
Standard deviation of portfolio returns = Weight of index fund * Standard deviation of index fund
Plugging in the values, we get:
Standard deviation of portfolio returns = 0.70 * 15% = 10.5%
Hence, the standard deviation for the total portfolio returns is 10.5%. This means that the total portfolio's returns are expected to have a variability or risk represented by this standard deviation.
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Line segment su is dilated to create s'u' using point q as the center of dilation. the scale factor of the dilation is
Answers
The scale factor of the dilation is 2 which can be shown in the details given below.
In geometry, a line segment is bounded with the aid of using awesome factors on a line. Or we are able to say a line phase is a part of the road that connects factors. A line has no endpoints and extends infinitely in each the course however a line phase has constant or particular endpoints.
QS : QS'
= 4 : 8
= QU : QU'
= 5 : 10
= 1 : 2
Then the scale factor is of the dilation is 2 (magnification).
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Complete question
Line segment SU is dilated to create S'U' using point Q as the center of dilation.
The scale factor of the dilation is:
ASAP PLZ
Melissa is driving on the highway at the legal speed of 65 mi/h. She notices there is an accident ahead approximately 200 feet away. Her reaction time is 0.75 of a second. Is she far enough away to bring the car to a safe and complete stop?
*Round your answers to 2 places after the decimal!
1 Reaction distance =
2 Breaking distance =
3 Total Stopping Distance =
4 yes or no
Answers
Answer:
You are asked to find the skid distance given the speed,
the drag factor, and the braking efficiency.
Step-by-step explanation:
Use the skid speed formula. S = √
_______
30Dfn
Substitute 50 for S, 1.2 for f,
and 0.9 for n. 50 =√
___________________
30 × D × 1.2 × 0.9
Simplify the expression under the radical. 50 = √
_______
32.4D
A tennis ball machine can launch 60 tennis balls in 12 minutes.
At this rate, how many tennis balls can it launch in an hour?
Answers
It's 300 because you divide 60 by 12 which gives you 5, then multiply 60 and 5.
Susan has 50% more books than Michael. Michael has 40 books. If Michael buys 8 more books, will Susan have more or less books than Michael? Use any method to solve the problem
Answers
Answer:
Susan has more books than Michael.
Step-by-step explanation:
If Susan has 50% more books and Michael has 40 books, that means Susan has 1.5 times 40 = 60
40 + 8 = 48
60 is more than 48, so Susan has more books than Michael
I need to determine which system of equations it is a solution too if any
Answers
To solve this exercise you have to solve each system of equations.
a)
\(\begin{cases}y=4x-5 \\ y=-6x+25\end{cases}\)To solve this equation system you have to equal both equations and solve for x:
\(4x-5=-6x+25\)- Pass -6x to the left side of the equation by applying the opposite operation to both sides of it
\(\begin{gathered} 4x+6x-5=-6x-6x+25 \\ 10x-5=25 \end{gathered}\)- Add 5 to both sides of the equal sign:
\(\begin{gathered} 10x-5+5=25+5 \\ 10x=30 \end{gathered}\)- Divide both sides by 10
\(\begin{gathered} \frac{10x}{10}=\frac{30}{10} \\ x=3 \end{gathered}\)- Replace the value of x in one of the equations and solve for y:
\(\begin{gathered} y=4x-5 \\ y=4\cdot3-5 \\ y=12-5 \\ y=7 \end{gathered}\)The solution for this equation system is (3,7)
b)
\(\begin{cases}2y=10x-12 \\ y=-7x+42\end{cases}\)Replace the second equation into the first one:
\(\begin{gathered} 2y=10x-12 \\ 2(-7x+42)=10x-12 \end{gathered}\)- Distribute the multiplication on the parentheses term:
\(\begin{gathered} 2\cdot(-7x)+2\cdot42=10x-12 \\ -14x+84=10x-12 \end{gathered}\)-Subtract 10x to both sides of the expression:
\(\begin{gathered} -14x-10x+84=10x-10x-12 \\ -24x+84=-12 \end{gathered}\)-Subtract 84 to both sides of the equal sign:
\(\begin{gathered} -24x+84-84=-12-84 \\ -24x=-96 \end{gathered}\)-Divide both sides by -24
\(\begin{gathered} \frac{-24x}{-24}=\frac{-96}{-24} \\ x=4 \end{gathered}\)- Replace the value of x in the second equation and solve for y:
\(\begin{gathered} y=-7x+42 \\ y=-7\cdot4+42 \\ y=-28+42 \\ y=14 \end{gathered}\)The solution for this equation system is (4,14)
c)
\(\begin{cases}3y-9x=-21 \\ y+12x=23\end{cases}\)- Write the second equation for y:
\(\begin{gathered} y+12x=23 \\ y+12x-12x=23-12x \\ y=-12x+23 \end{gathered}\)- Replace the expression in the first equation
\(\begin{gathered} 3y+9x=-21 \\ 3(-12x+23)+9x=-21 \end{gathered}\)-Distribute the multiplication on the parentheses term
\(\begin{gathered} 3\cdot(-12x)+3\cdot23-9x=-21 \\ -36x+96-9x=-21 \\ -36x-9x+69=-21 \\ -45x+69=-21 \end{gathered}\)- Subtract 69 to both sides of the equal sign
\(\begin{gathered} -45x+69-69=-21-69 \\ -45x=-90 \end{gathered}\)-Divide both sides by -45
\(\begin{gathered} \frac{-45x}{-45}=\frac{-90}{-45} \\ x=2 \end{gathered}\)-Replace the value of x in the expression obtained for y and solve:
\(\begin{gathered} y=-12x+23 \\ y=-12\cdot2+23 \\ y=-24+23 \\ y=-1 \end{gathered}\)The solution of this equation system is (2,-1)
d)
\(\begin{cases}2y-21x=-24 \\ 2y+8x=52\end{cases}\)- Write the second equation for y:
\(\begin{gathered} 2y+8x=52 \\ 2y+8x-8x=52-8x \\ 2y=52-8x \\ \frac{2y}{2}=\frac{52}{2}-\frac{8x}{2} \\ y=-4x+26 \end{gathered}\)-Replace the expression in the first equation:
\(\begin{gathered} 2y-21x=-24 \\ 2(-4x+26)-21x=-24 \end{gathered}\)-Distribute the multiplication on the parentheses term:
\(\begin{gathered} 2*\mleft(-4x\mright)+2*26-21x=-24 \\ -8x+52-21x=-24 \\ -8x-21x+52=-24 \\ -29x+52=-24 \end{gathered}\)-Subtract 52 to both sides of the equation:
\(\begin{gathered} -29x+52-52=-24-52 \\ -29x=-76 \end{gathered}\)-Divide both sides by -29
\(\begin{gathered} \frac{-29x}{-29}=\frac{-76}{-29} \\ x=\frac{76}{29} \end{gathered}\)-Replace this value in the expression obtained for y:
\(\begin{gathered} y=-4x+26 \\ y=-4\cdot\frac{76}{29}+26 \\ y=-\frac{304}{29}+26 \\ y=\frac{450}{29} \end{gathered}\)The solution to this equation system is (76/29,450/29)
The answer for this exercise is:
a → (3,7)
c → (2,-1)
b → (4,14)
e → (4,20)
hi pls help me out with this
Answers
Use the image to determine the value of “X”
a. x = 17.7
b. x =18
c. x = 8
d. x = 5
Answers
ex:
4x-7=7x-61
(They equal eachother)
you solve and get 18
Evaluate k(4) for the function k(x)=18−2x
Answers
Answer:
k(4) = 10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
k(x) = 18 - 2x
k(4) is x = 4
Step 2: Evaluate
Substitute in x: k(4) = 18 - 2(4)Multiply: k(4) = 18 - 8Subtract: k(4) = 10Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at 55 miles per hour. The eastbound train travels at 75 miles per hour. How long will it take for the two trains to be 312 miles apart? Do not do any rounding.
Answers
The time it takes both train to be 312 miles apart is 2.4 hours.
What is time?Time can be defined as an ongoing and continuous sequence of events that occur in succession, from past through the present, and to the future.
To calculate how long it will take the two trains to be 312 miles apart, we use the formula below.
Formula:
t = D/S......... Equation 1Where:
t = Time it take both train to be 312 miles apartD = The distance apart between both trainS = The combined speed of both train.From the question,
Given:
S = (55+75) miles per hour = 130 miles per hourD = 312 milesSubstitute these values into equation 1
t = 312/130t = 2.4 hours.Hence, the time it takes is 2.4 hours.
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which information is not sufficient to prove that a parallelogram is a square
a. The diagonals are both congruent and perpendicular.
b. The diagonals are perpendicular and one pair of adjacent sides are congruent.
c. The diagonals are congruent and one pair of adjacent sides are congruent.
d. The diagonals are perpendicular and one pair of adjacent sides are perpendicular.
Answers
The statement B. "The diagonals are perpendicular and one pair of adjacent sides are congruent." is not sufficient to prove that a parallelogram is a square.
A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length. It has opposite angles equal in measure. The diagonals of a parallelogram bisect each other.
A square is a type of rectangle and a type of parallelogram. It is a four-sided polygon with all sides of equal length and all angles right angles. The opposite sides of a square are parallel and congruent, and opposite angles are congruent as well. The diagonals of a square are congruent and bisect each other. Additionally, the diagonals of a square are also perpendicular to each other.
Note that a rhombus also has congruent adjacent sides and perpendicular diagonals, but it's not a square.
Therefore, if the diagonals are perpendicular and one pair of adjacent sides are congruent, the parallelogram is not necessarily a square.
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Solve for X
X = _______
Answers
Answer:
7
Step-by-step explanation:
Sum of angles on a straight line is 180°
12x - 8 + 104 = 180°
12x + 96° = 180°
12x = 180° - 96°
12x = 84
12 12
x = 7
Janet wants to invest a sum of money that will grow to $10,000 in 5 years. How much does she need to put now into an account that pays 4% interest per year, compounded monthly?
Answers
Janet needs to invest $8,164.86 now to have $10,000 in 5 years at a 4% annual interest rate, compounded monthly.
How to Calculate Compound Interest?To solve this problem, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
where A is the final amount, P is the initial amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.
We want to find the initial amount, P, so we can rearrange the formula as follows:
P = A/(1 + r/n)^(nt)
Substituting the given values, we have:
A = $10,000
r = 4% = 0.04 (as a decimal)
n = 12 (monthly compounding)
t = 5 years
Therefore, the initial amount, P, is:
P = $10,000/(1 + 0.04/12)^(12*5)
= $8,164.86 (rounded to two decimal places)
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Answer:8,190
Step-by-step explanation:
Use the formula for present value:
PV = FV (1 +
)-nt
FV = $10,000
r = 0.04
n = 12
t = 5
PV = 10,000 (1 +
)12 · 5
= 8,190
Will give brainliest if correct
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Click and place the correct answers inside the empty boxes.
Answers
Answer: put the parallelograms in the box that says 2 pairs of parallel sides next put the squares in the box that says 4 right angles the put rectangles in the box that says 4 congruent sides and last put rhombuses in the middle box that says 4 right angles and 4 congruent sides
Step-by-step explanation:
A cone has a height of 17 centimeters. What is its volume? Use n 3.14
Answers
Answer:
445.06
Step-by-step explanation:
V=πr2h
3=π·52·17
3≈445.05896cm³
Hope This Helps
1.) Tyler runs 2/3 of a mile in 8 minutes. At this speed, how long will it take him to run one mile?
Answers
Answer:
12 minutes
Step-by-step explanation:
Since he ran 2/3 of a mile in 8 minutes, by dividing both sides by two we can see that he ran 1/3 in 4 minutes. 1/3 x 3 = 1 mile. 4 x 3 = 12 minutes
Answer:
1 mile in 12 minutes
Step-by-step explanation:
2/3 mile in 8 minutes
divide by 2
1/3 mile = 4 minutes
multiply by 3
1 mile in 12 minutes
Can someone help me solve this (solution must contain a point (x,y).
Answers
Answer:(6,2)
Step-by-step explanation:
Photomath
Answer:
x=6
y=2
(x,y)=(6,2)
.................................
Expand the following :
X( 2x-5)
2x (3x+4)
6x(x-2y)
Answers
The expressions are expanded to give;
1. 2x² - 5x
2. 6x² + 8x
3. 6x² - 12xy
What are algebraic expressions?Algebraic expressions are defined as expressions consisting of variables, coefficients, constants, terms and factors.
These expressions are also known to consist of mathematical operations, which includes;
BracketParenthesesAdditionSubtractionMultiplicationDivision, etcFrom the information given, we have that;
a. x (2x - 5)
expand the bracket
2x² - 5x
b. 2x (3x+4)
expand the bracket
6x² + 8x
c. 6x(x-2y)
expand the bracket
6x² - 12xy
Hence, the expressions are 2x² - 5x, 6x² + 8x and 6x² - 12xy
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Answer:
1) 2x² - 5x
2) 6x² + 8x
3) 6x² - 12xy
Step-by-step explanation:
1) x ( 2x - 5 )
To expand the above, multiply both terms inside the brackets by x.
2x² - 5x
2) 2x ( 3x + 4 )
To expand the above, multiply both terms inside the brackets by 2x.
6x² + 8x
3) 6x ( x - 2y )
To expand the above, multiply both terms inside the brackets by 6x.
6x² - 12xy
8 basketball teams enter a tournament. the first, second, and third-place teams win medals. in how many ways can the 8 teams finish 1st, 2nd, 3rd
Answers
The number of ways in which the 8 teams finish found by permutation is 1st, 2nd, 3rd is 336.
What is a permutation?A permutation would be a mathematical computation of the number of possible arrangements of a given set, in which the sequence of the arrangements is important.
Now, according to the question,
We have ten teams and want to understand number of times PERMUTATIONS OF 3 are possible. For only a PERMUTATION, we want to consider how several positions we are selecting and how many options are available for each of those positions.
So, given three options are;
(# of choices for first) x (# of choices for second) x (# of choices for third)
If there are originally 8 teams to pick from, then first place has 8 alternatives. When one of those is chosen for first, there are only 7 alternatives for second, and only 6 choices for third... and so on.
8 × 7 × 6 = 336
Therefor, here are 366 possible methods to choose first, second, and third place from the original eight teams.
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Alonzo split 3/4 pounds of candy among 4 people. What is the unit rate in pounds per person? Write your answer in simplest form.
(10 points, brainliest, thanks and 5 if correct! IF! also it is due today)
Answers
When Alonzo splits 3/4 pounds of candy among 4 people the unit rate in pounds per person is 3/16 pounds per person
What is unit rate?The ratio of two measures, with one as the second of the item, is known as unit rate.
For the problem where Alonzo have to split 3/4 pounds of candy, the unit rate is solved by division.
In this case, Alonzo will divide each the 3/4 pounds by 4 to get a value of which is the unit rate
The unit rate of candy in pounds per person
= 3/4 pounds / 4 persons
= 3/16 pounds per person
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I need help with this can someone help me please!!! I will give brainlist, no links!!
Leo is visiting New York City to see the Empire State building. He knows that the Empire State building is 1,484 feet tall. When he spots it, he stops and has to look up at an angle of 84.7 degrees to see the top. How far away from the base of the Empire State building is he?
Answers
Answer:
Leo stop at 1339. 3 feet tall and Leo almost reach the top of the building
can somebody help with this.?
