riddle #2
I am a five digit even number.
all of my digits are factor of 24.
4/5 of my digits are even.
The digit in my thousands place equals the perimeter of a 2×2 array.
The digits in my ten thousand places is twice the value of the digits in the hundreds place, but half the value of the digits in the thousands places.
The digit in my tens places equal the number of lines of symmetry in an isosceles triangle.
Answers
Answer:
28416
Step-by-step explanation:
No digits can be repeated
"All my digits are factors of 24" This means that the possible digits are: 1, 2, 3, 4, 6, 8
"The digits in my thousands place equals the perimeter of a 2x2 array" That would be 8
"The digits in my ten thousand places is twice the value of the digits in the hundreds place, but half the value of the digits in the thousands place" That would be 4, which also means that the ten thousands place is 2
"The digits in my tens place equal the number of lines of symmetry in an isoceles triangle" There is only 1 lines of symmetry
This means that we have 2841(?)
Because this number is even and no digits can be repeated, the only possible digits from those available is 6
Therefore the number is 28416
Related Questions
Find the volume of a pyramid with a square base, where the perimeter of the
base is 5.1 in and the height of the pyramid is 2.7 in. Round your answer to
the nearest tenth of a cubic inch.
Answers
9514 1404 393
Answer:
1.5 in³
Step-by-step explanation:
Several formulas come into play:
P = 4s . . . . . . . perimeter of square of side length s
A = s² . . . . . . . area of square with side length s
V = 1/3Bh . . . . volume of a pyramid with base area B and height h
__
Using the given numbers, we find ...
(5.1 in) = 4s
s = (5.1 in)/4
A = ((5.1 in)/4)² = 1.625625 in²
V = 1/3(1.625625 in²)(2.7 in) = 1.4630625 in³
The volume of the pyramid is about 1.5 cubic inches.
How many prime numbers between 20 and 40
Answers
Answer:
23,29,31,37.
....................
Date Have you ever heard or read information that seemed too unlikely to be true? For example, "The average person eats 1095 pounds of food a year!" or "The surface temperature of Venus is perfect for frying eggs. You will use the mathematics that you have recently learned to determine if the following statement is true. "A stack of 200 billion pennies would reach from Earth to the moon." 1. Use unit analysis to determine the number of pennies that are required to reach from Earth to the moon. The average distance between Earth and the moon is 238,857 miles. There are about 18 pennies in a 1-inch stack of pennies. Show all work (this includes the appropriate use of unit analysis). (2) I fact Rin yrd=3fr 17 pls help im rlly bad at unit analysis
Answers
Problem
A stack of 200 billion pennies would reach from Earth to the moon." 1. Use unit analysis to determine the number of pennies that are required to reach from Earth to the moon. The average distance between Earth and the moon is 238,857 miles. There are about 18 pennies in a 1-inch stack of pennies. Show all work (this includes the appropriate use of unit analysis). (2) I fact Rin yrd=3fr 17 pls help im rlly bad at unit analysis
Solution
We know that the distance between Earth and the Moon is d=238857 miles
We also know that 18 pennis are approximately in a 1 inch stack, so we can write this rate:
\(\frac{18\text{pennies}}{1in}\)from units conversion we know that 1 mi = 63360 inches
So we can do the following:
\(\frac{18\text{pennies}}{1in}\cdot\frac{63360in}{1mi}=\frac{1140480\text{pennies}}{mi}\)and we can find the number of pennis on this case with this operation
\(\frac{1140480\text{pennies}}{mi}\cdot238857mi=272411631400\text{pennies}\)that correspond to approximately 272411 millions
rewrite each expressions as a product of two factors so that the coefficient of the variable is 1. 6x +7
Answers
Reason:
Factor out 6 so that the 6x becomes simply x. We can think of it as 1x.
When factoring out the 6, we have to divide the 7 by 6.
Notice that distributing the outer 6 back through to each term gets us
6(x+7/6) = 6(x) + 6(7/6) = 6x+7
to help confirm the correct factorization.
a) What is the area of the top face of this
cuboid?
b) What is the area of the bottom face of
this cuboid?
4 cm
9 cm
7 cm
Answers
The area of both the top face and the bottom face of the cuboid is 63 square centimeters (cm²).
To find the area of each face of the cuboid, we'll use the formulas for finding the area of a rectangle (which is the shape of each face of the cuboid).
Given dimensions:
Length (L) = 9 cm
Width (W) = 7 cm
Height (H) = 4 cm
a) Area of the top face of the cuboid:
The top face is a rectangle with dimensions 9 cm (length) and 7 cm (width).
Area = Length × Width
Area = 9 cm × 7 cm
Area = 63 square centimeters (cm²)
b) Area of the bottom face of the cuboid:
The bottom face is also a rectangle with dimensions 9 cm (length) and 7 cm (width).
Area = Length × Width
Area = 9 cm × 7 cm
Area = 63 square centimeters (cm²)
Therefore, the area of both the top face and the bottom face of the cuboid is 63 square centimeters (cm²).
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write two and seventy two thousandths in decimal form
Answers
Given Data:
The number is two and seventy two thousandths.
A number written in decimal notation is often called simply a decimal. The position of a digit in a decimal determines the digit’s place value. To write a decimal in standard form, zeros may have to be inserted after the decimal point so that the last digit is in the given place-value position.
Here, seventy two is after the decimel with 2 at the place of ten thousands. Therefore, we have to put two zeros in front of 72.
The number two and seventy two thousandths can be written as,
\(2.0072\)Find the surface area l=12 w=4 h=2
Answers
Answer:
SA=160
Step-by-step explanation:
surface area of cuboid=2lw+2wh+2hl
=2(12)(4)+2(4)(2)+2(2)(12)
=96+16+48
=160
MARK ME BRAINLIEST THANKS MY ANSWER PLEASE
Simplify (−3)4 and −34. Show all the work
Answers
Answer:
-12
Step-by-step explanation:
(-3)4
-3*4
-12
Elaborate ur question about - 34
Point P is the incenter of triangle ABC,
PZ = 7 units, and PA = 12 units
Answers
The incircle centered at point P has a radius of 7 units.
What is the radius of incircle?Here given that,
PA = 12 units.
PZ = 7 units
We are told that point P is the incenter of the triangle and the center of the triangle's incircle. The incircle is the largest circle that can be formed in a triangle and is tangent to all three sides. The circle's radius will be a perpendicular line from point P to any side of the triangle. PZ = PY = PX in the triangle shown, and each value equals the radius of the circle.As a result, no additional calculations are required for this problem because we already know that PZ = 7 units, resulting in the radius, r = 7 units.The complete question is :
"Point P is the incenter of triangle ABC, PZ = 7 units, and PA = 12 units.
The radius of the incircle centered at point P is ? units."
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Find a polynomial with real coefficients that has the given zeros. 5+2i, 5-2i, -1 One such polynomial P(x) can be defined as P(x) = x³ - 9x² + x + 29.
Answers
The polynomial with real coefficients from the zeros is P(x) = 2x³ - 18x² + 2x + 58
Find a polynomial with real coefficients from the zeros.From the question, we have the following parameters that can be used in our computation:
zeros = 5+2i, 5-2i, -1
One such polynomial P(x) can be defined as
P(x) = x³ - 9x² + x + 29.
When this polynomial is multiplied by a costant, the roots and zeros remain the same
Let the constant be 2
So, we have
New P(x) = 2(x³ - 9x² + x + 29)
Evaluate
New P(x) = 2x³ - 18x² + 2x + 58
Hence, the function is P(x) = 2x³ - 18x² + 2x + 58
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Is the range a subset or a proper subset of the codomain?
Answers
A function's codomain is a subset of its range. Although it is not a true subset, it is conceivable for the range to be equal to the codomain, in which case it is also a subset of the codomain.
What is a subset?A set that includes all or a portion of another set's elements is known as a subset. For instance, because every even integer is also an integer, the set of even integers is a subset of the set of integers. A subset that contains some, but not all, of the members of another set is said to be a proper subset. Because it contains some, but not all, of the positive integers, the set of positive integers less than 10 is a valid subset of the set of positive integers.
A function's codomain is a subset of its range. Although it is not a true subset, it is conceivable for the range to be equal to the codomain, in which case it is also a subset of the codomain.
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Answer two questions about Equations A and B:
A. 2x - 1 = 5x
B. - 1 = 3x
1) How can we get Equation B from Equation A?
Choose 1 answer:
A. Add/Subtract the same quantity to/from both sides
B. Add/Subtract a quantity to/from only one side
C. Rewrite one side (or both) by combining like terms
D. Rewrite one side (or both) using the distributive property
2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
Choose 1 answer:
A. Yes
B. No
Answers
1. Rewrite one side (or both) by combining like terms. Option C
2. Yes, the equations are equivalent. Option A
Reasons for the answers
1.
Equation A ; 2x -1 = 5x
Equation B ; -1 = 3x
To get equation B from equation A
2x - 1 = 5x
Collect like terms
-1 = 5x -2x
Subtract the like terms
-1 = 3x
Thus, rewrite one side (or both) by combining like terms. Option C
2. 2x - 1 = 5x ...... equation A
Solution ;
2x -5x = 1
-3x = 1
x = -1/3
-1 = 3x
Solution;
x = -1/3
Thus, the equations are equivalent. Option A
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how do i solve 1-(1+.04/12)^-12x10
Answers
To solve the expression 1 - (1 + 0.04/12)^(-12x10), you can follow these steps: Step 1: Simplify the exponent. In this case, -12x10 simplifies to -120.
Step 2: Evaluate the term within the parentheses first. 0.04/12 simplifies to 0.0033333 (approximately).
Step 3: Add 1 to 0.0033333 to get 1.0033333.
Step 4: Raise 1.0033333 to the power of -120.
Step 5: Calculate the value inside the parentheses using a calculator or software. The result is approximately 0.742657.
Step 6: Subtract the value obtained in Step 5 from 1.
1 - 0.742657 = 0.257343 (approximately).
Hence, the value of the expression 1 - (1 + 0.04/12)^(-12x10) is approximately 0.257343.
It's important to follow the order of operations (PEMDAS/BODMAS) when solving mathematical expressions. In this case, the exponent is evaluated first, followed by addition and subtraction. Utilizing a calculator or software that supports exponentiation and parentheses can help simplify complex expressions and obtain accurate results efficiently.
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Could anyone help me on this?
Answers
Answer:
117
Step-by-step explanation:
we should subtract 63 from 180
so 180 - 63 = 117°
10 - (-9)= WHAT??? PLEASE help AND SHOW WORK IF YOU CAN?
Answers
Answer:
19
Step-by-step explanation:
-(-9) becomes 9 because the negative in front of the parenthesis is just a negative one that is multiplied with the negative nine, making it a positive nine. This makes the problem 10+9
Answer:
19
Step-by-step explanation:
\(10-(-9)\\\\10+9\\\\\boxed{19}\)
Hope this helps.
The exhaust fan on a typical kitchen stove pulls 600
CFM (cubic feet per minute) through the filter. Given that 1.00
i
n
.
=
2.54
c
m
, how many cubic meters per second does this fan pull?
a. 0.283
m
3
/
s
e
c
.
b. 32.8
m
3
/
s
e
c
.
c. 3.05
m
3
/
s
e
c
.
d. 0.328
m
3
/
s
e
c
.
Answers
The exhaust fan on a typical kitchen stove pulls 0.328 m³/sec (cubic meters per second).
Unit conversion is the process of converting a quantity expressed in one unit of measurement to an equivalent quantity expressed in another unit of measurement, while keeping the underlying physical quantity the same. It involves using conversion factors that relate the two units of measurement to each other, based on their respective definitions and relationships.
First, we need to convert 600 CFM (cubic feet per minute) to cubic meters per minute:
1 feet = 12 in
1.00 in = 2.54cm
100 cm = 1 m
600 CFM = (600 ft³/min)(12 in/ft)³(2.54 cm/in)³(1 m/100 cm)³ = 16.99 m³/min
Next, we need to convert cubic meters per minute to cubic meters per second:
1 minute = 60 seconds
16.99 cubic meters/minute = (16.99 m³/min)(1 min/60 s) = 0.283 m³/s
Therefore, the answer is a. 0.283 m³/s.
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Add and reduce: 9+2 8/12
Answers
Answer:
62/3
Step-by-step explanation:
The Fraction Part would be reduce 35/3 and then you add 9+35/3 and that equals 62/3
(c) Problem 17:
How far will the baseball have dropped after
4.5 seconds?
(first taught in
lesson 90)
Afton
Answers
After 4.5 seconds, the baseball will have dropped approximately 99.35 meters.
To find out how far the baseball will have dropped after 4.5 seconds, we need to use the free fall formula.
The terms involved in this calculation are:
Time (t): 4.5 seconds.
Acceleration due to gravity (g): 9.81 m/s² (approximated)
Distance dropped (d)
The free fall formula is:
\(d = (1/2) \times g \times t^{2}\)
Now, we will plug in the given values and solve for d:
Substitute the values
\(d = (1/2) \times 9.81 \times (4.5)^{2}\)
Calculate the square of time
\(d = (1/2) \times 9.81 \times 20.25\)
Multiply the values
d = 99.3525.
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A line contains points F, G, H, I, J. The space between F G is 2. The space between H and I is 1. The space between F and I is 7.
If FG = 2 units, FI = 7 units, and HI = 1 unit, what is GH?
3 units
4 units
5 units
6 units
Answers
Answer:
4
Step-by-step explanation:
Answer: B. 4 Units
Step-by-step explanation: On Edge!!!
Max wants to make 9 rubber band balls using 80 bands each from his package of 700. Will Max be able to make more of fewer balls than he wanted?
Answers
Answer:
he will be able to make fewer balls
Step-by-step explanation:
80 times nine is 720 and max only has 700
7k( − k + 6) pls help
Answers
Answer:
-7k^2+42k
LOL thats what i got
2
+
42
k hope this helps !!
Alyssa attempted to smplify the four numeric expressions shown here #1 11+3X3 14X3 42 #2 80 divided by 2+4 40 divided by 4 40 #3 4(3 divided by 7) 4(10) 40 #4 5X10-10 50-10 40 which simplification is not correct?
Answers
When we have expressions where multiplications, divisions, additions and substractions are made, we have an order to solve them: First, we have to solve multiplications and divisions and then we can solve additions and substractions.
The one that has a mistake is #1, because she has:
\(11+3\cdot3\)She should have solved 3*3 first, and then add 11 to the result:
\(\begin{gathered} 11+3\cdot3 \\ 11+9 \\ 20 \end{gathered}\)The error is in that she add the 11 to a 3, and then multiplicate the result, what is incorrect.
The other expressions are solved in the right order.
Answer: #1
Place the following numbers from least to greatest.
4.14, 3.24, 3.14, 4.24
Answers
Zelda figures out that her backyard is 56 steps long and 43 steps wide. If she wants to build a 15-foot- tall garage that covers the whole yard and if each of her steps is 2.5 feet, what will the volume of her new garage be?
Answers
Answer:
225,750 cubic feet.
Explanation:
• Her backyard is ,56 steps long, and ,43 steps wide,.
,• Each of her steps is 2.5 feet.
Therefore:
\(\begin{gathered} \text{Length of the backyard}=56\times2.5=140\text{ feet} \\ \text{Width of the backyard}=43\times2.5=107.5\text{ feet} \\ \text{Proposed Height of the garage }=15\text{ feet} \end{gathered}\)Therefore, the volume of the new garage:
\(\begin{gathered} V=Length\times Width\times Height \\ =140\times107.5\times15 \\ =225,750\text{ cubic feet} \end{gathered}\)The volume of her new garage is 225,750 cubic feet.
write a function to model the following situation: a population of wolves is currently 1200 and is decreasing at a rate of 5% each year. '
HELP!!!
Answers
The equation of the function is f(x) = 1200(0.95)^x
How to determine the equation of the functionFrom the question, we have the following parameters that can be used in our computation:
Initial value, a = 1200
Rate of decrement, r = 5%
Using the above as a guide, we have the following:
f(x) = a *(1 - r)^x
Substitute the known values in the above equation, so, we have the following representation
f(x) = 1200(1 - 5%)^x
So, we have
f(x) = 1200(0.95)^x
Hence, the function is f(x) = 1200(0.95)^x
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Suppose you borrow $680 for a term of three years at simple interest and 3.94% APR. Determine the total (principal plus interest) you must pay back on the loan.
Answers
The total amount that we need to pay back after the end of 3 years with principal amount as $ 680 and simple interest as 3.94 % will be $ 760.376.
We are given that:
Principal amount = P = $ 680
Time period = t = 3 years
Simple interest rate = r = 3.94 %
We know that, the formula for simple interest is given by:
SI = P × r × t
SI = 680 × 3.94 % × 3
SI = 80.376
Amount will become:
Amount = $ 680 + $ 80.376
Amount = $ 760.376
Therefore, we get that, the total amount that we need to pay back after the end of 3 years with principal amount as $ 680 and simple interest as 3.94 % will be $ 760.376.
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A man gave 90000.00 to his two daughters Jane and Lydia, 75.00 was given to Lydia to pay her load. After sharing the money Lydia has twice as
much as Jane. How much did each received?
Answers
Jane received $30025 and Lydia received $60000. Let's assume the amount of money that Jane received as x; then Lydia's share of the money will be twice the share of Jane.
We are to find out the share of each person. Here is the solution in steps:Suppose Jane's share was x dollars, and Lydia's share was y dollars.
Given that the total amount given to the two daughters was $90000. Also, given that Lydia paid off her $75, hence she got $75 less than Jane.
Therefore, y = 2x - 75; this is because we are given that Lydia got twice the share of Jane, and also, she got $75 less than Jane. Hence, x + y = $90000, this is because the total sum of money shared is $90000.
Substituting y = 2x - 75 into x + y = $90000 gives x + (2x - 75) = $90000.
Simplifying, we have :3x = $90000 + 75 = $90075.
Dividing both sides by 3, we get:x = $30025. Hence, Jane's share is $30025 Lydia's share = 2x - 75 = 2($30025) - $75 = $60075 - $75 = $60000.
Therefore, Jane received $30025 and Lydia received $60000.
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PLEASE I NEED HELP the question is,
In the diagram of triangle LAC and triangle DNC below, LA = DN, CA = CN, and DAC is perpendicular to LCN.
a) Prove that triangle LAC = triangle DNC.
b) Describe a sequence of rigid motions that will map triangle LAC onto triangle DNC.
Answers
Answer:
1244 DCD
Step-by-step explanation:
What is the length of the hypotensis?If necessary round to the nearest 10th
Answers
We need to use the pythagorean theorem:
In a right triangle we have:
hyppootenuse
leg1
leg2
And the theorem says:
\(\text{hyppotenuse}^2=\text{leg}1^2+\text{leg}2^2\)In this case:
leg1 = 9cm
leg2 = 3cm
\(c^2=(9cm)^2+(3cm)^2\)And solve for c:
\(\begin{gathered} c=\sqrt[]{81cm^2+9cm^2} \\ c=\sqrt[]{90cm^2} \\ c\approx9.486832\ldots \end{gathered}\)To the nearest tenth:
c = 9.5cm
5. You buy a boat for $35,000 that * 10 points
depreciates in value at about 17%
per year. How much will it be worth
in 3 years?
Your answer
Answers
Answer:
9000
Step-by-step explanation: