Answer:
There are 360 such numbers.
Step-by-step explanation:
The number of 6-digit numbers, formed using each digit from 1 to 6 excactly once, means we can have numbers like
123456, 123465, 123546,123564,.... 654321
The number of such numbers is given by 6! because we have a choice of 6 numbers for the first digit, 5 left for the next, ... until the last digit has only one choice.
6! = 6*5*4*3*2*1 = 720
We know that 1+2+3+4+5+6 = 21 is divisible by three, so all 720 numbers are divisible by 3.
However, to be divisible by six, we need a number divisible by three AND divisible by two.
Thus, out of the 720 numbers, we need count only the even numbers, which are exact half of the 720, or 360.
Therefore there are 360 6-digit numbers, formed using each digit from 1 to 6 exactly once, are divisible by 6.
Answer:
360 numbers
Step-by-step explanation:
6-digit numbers => the numbers have the form abcdef
f 3 values, f = {2; 4; 6}
a 5 values; b 4 values, c 3 values, d 2 values, e one value,
=> 5 * 4 * 3 * 2 * 1 * 3 = 360 numbers
the number 4,928 will be rounded to the nearest hundred. what is the rounding digit
Answer:
4928 rounded to the nearest hundred is:
4900
Step-by-step explanation:
Hope this hepls you!!
The number 4,928 will be rounded to the nearest hundred is 4900.
What is rounding off numbers?When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done. The crucial figures are preserved when numbers are rounded off.
Given to round off 4928 to the nearest 100
steps to round off,
Determine the two consecutive multiples of 100 that bracket 4928
4928 is between 4900 and 5000
4950 is the midpoint between 4900 and 5000
from the number line, 4928 is less than the midpoint 4950,
Therefore, 4928 rounded to the nearest 100 is 4900.
Hence the digit is 4900.
Learn more about rounding off numbers;
brainly.com/question/13391706
#SPJ2
PLEASE HELP!!!! 5. POINTS EACH.
Answer:
question 3: 1/3 question 4: 5/7 question 5: 2/3
Answer:
1/3
5/7
2/3
Step-by-step explanation:
The numbers greater than 4 on a fair dice are 5 and 6.
2 numbers out of 6 or 2/6
2/6 = 1/3
Total parts = 7 + 12 + 18 + 5 = 42
12 are orange marbles.
42 - 12 = 30
30 marbles are red, yellow, and purple.
30/42 = 15/21 = 5/7
The numbers greater than 2 on a fair dice are 3, 4, 5, and 6.
4 numbers out of 6 total numbers.
4/6 = 2/3
If p(x) = x2 - 1 and 4(x) = 5(x-1), which expression is equivalent to (p - 9)(x)?
5(x - 1) - x2-1
(5x-1) -(x2-1)
(x2 - 1) - 5(x - 1)
(x2-1) - 5x-1
Answer:
x^2 - 10 = (p - 9)(x)
Step-by-step explanation:
Please indicate exponentiation with the symbol " ^ ": p(x) = x^2 - 1.
To obtain (p - 9), start with p(x) = x^2 - 1 and subtract 9:
(p - 9)(x) = x^2 - 1 - 9 = x^2 - 10 = (p - 9)(x)
13/4-1=
2 1/4
1 1/2
2 1/2
1 1/4
Answer:
2 1/4
Step-by-step explanation:
13/4 is 3 1/4 because 13 divided by 4 is 3 with a remainder of 1. So from there you subtract 1 from the whole number 3 and are left with 2 1/4. I hope that makes sense! :)
Answer:
2 1/4
Step-by-step explanation:
13/4 = 3 1/4
1 = 1
3 - 1 = 2 1/4
Definition: A method of solving a system of equations in which you obtain opposites to cancel one of the variables and solve for the other variable.
Please help me with this question
Answer:
E.
Step-by-step explanation:
so first you would add 8 to both sides to get
3w = t + 8
then divide both sides by 3
w = (t + 8) / 3
So the answer is E.
Answer: E) w = (t+8)/3
Step-by-step explanation:
Solve for w in terms of t means you have to isolate w. Thus, simply do the following:
[tex]3w-8=t\\3w=t+8\\w=\frac{t+8}{3}[/tex]
Hope it helps <3
Solve the compound inequality.
5 < 2x - 1<9
show your work solving the inequality
Answer:
x> 3 and x <5
OR
3 < x <5
Step-by-step explanation:
To solve the compound inequality, we will follow the steps below:
We will first break it into two inequalities.
That is;
5 < 2x - 1<9
5 < 2x - 1 AND 2x - 1<9
Then we will solve separately
5 < 2x - 1
add 1 to both-side of the equation
5 +1 < 2x - 1 +1
6 < 2x
Divide both-side of the inequality by 2
6 /2 < 2x/2
3 < x
x>3
we will now solve the other inequality
2x - 1<9
add 1 to both-side of the equation
2x - 1+1<9 +1
2x < 10
divide both-side of the inequality by 2
2x /2< 10/2
x < 5
Therefore x> 3 and x <5
or
3 < x <5
Answer:
[tex]x = (5 \: . \: 3)[/tex]
Step-by-step explanation:
To solve a compound inequality, seperate it into two inequalities:
[tex]2x - 1 > 5 \\ 2x - 1 < 9[/tex]
Solve the inequality for x:
[tex]x > 3 \\ 2x - 1 < 9[/tex]
Solve the inequality for x:
[tex]x > 3 \\ x < 5[/tex]
Find the intersection:
[tex]x = (5 \: . \: 3)[/tex]
A factory can work its employees no more than 6 days a week, and no less than 2 days per
week. Create an inequality to represent the range of days an employee can work. Solve
the inequality to determine the range in hours if the work day is 6.5 hours. Show all of your
work.
Answer:
Step-by-step explanation:
Answer: A.) 2 <= X <= 6
B.) 13 < = X < = 39
Step-by-step explanation:
Given that a factory can work its employees no more than 6 days a week, that is, less than or equal to 6 days a week
And also, no less than 2 days per week. That is, greater than or equal to 2 day a week.
Let X represent the number of days an employee can work per week.
According to the first statement,
X < = 6
According to the second statement,
X >= 2
An inequality to represent the range of days an employee can work will be
2 < = X <= 6
To represent the range in hours, first convert the number of days to hour. Given that an employee can work
1 day = 6.5 hours
2 days = 2 × 6.5 = 13 hours
5 days = 6 × 6.5 = 39 hours
Therefore, the range will be
13 < = X < = 39
helpppppppppp plsssssss
Hey there! :)
Answer:
a) Blue.
b) 1/2.
Step-by-step explanation:
Find the probabilities for each color:
Blue: 1/8
Yellow: 3/8
Green: 4/8 or 1/2
a) The color that the spinner is the least likely to land on has the smallest probability, which in this instance, is blue.
b) The probability of the spinner landing on green can be determined by:
# of green sections /total
Therefore:
4 / 8
Simplify the fraction:
4 / 8 = 1 / 2.
Answer:
a) Blue
b) 1/2
Step-by-step explanation:
a) The colors on the spinner are blue (B), green (G), and yellow (Y).
(B) = 1/8
(G) = 4/8
(Y) = 3/8
The spinner is least likely to land on the color blue.
b) The probability that the spinner lands on the color green is 4/8. The spinner has 8 equal sections, 4 of the sections are green.
4/8 can be simplified to 1/2.
[tex]\frac{y-95}{4} = 1[/tex]
y = _____
NY Newsstand has an annual payroll of $288,000. What is the FICA for NY
Newsstand?
A. $22,032
B. $76,500
C. $25,684
O D. $28,800
Answer:
It is A $288,000
Step-by-step explanation:
Answer:
A. $22,032
Step-by-step explanation:
FICA includes both social security tax (6.2%) and Medicare tax (1.45%), for a total tax rate of 7.65%.
0.0765 × $288,000 = $22,032 . . . FICA tax
01:37:49
The function f(x) = −(x + 5)(x + 1) is shown.
On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 3, 4), and goes through (negative 1, 0).
What is the range of the function?
all real numbers less than or equal to 4
all real numbers less than or equal to −3
all real numbers greater than or equal to 4
all real numbers greater than or equal to −3
Answer:
all real numbers less than or equal to 4
which agrees with the first answer option listed
Step-by-step explanation:
The parabola opening down means that its two branches go on towards negative values with no limit. The maximum y-value that this parabola can reach is therefore the y-value of its vertex which is 4, given that the vertex coordinates are (3, 4).
Therefore, the Range of y-values can have any real number that is smaller than or equal to 4
Answer:
all real numbers less than or equal to 4
Step-by-step explanation:
The leading coefficient is negative, so the vertex is a maximum. The y-value of the vertex (4) is the upper limit of the range.
The range is all real numbers less than or equal to 4. (first choice)
Help ASAP! Will name brainliest! Questions: Maximize the objective function P = 5x + 7y for the given constraints. x ≥ 0 y ≥ 0 2x + 3y ≤ 18 5x + 2y ≤ 23 Answers: 52, 43, 23, 30
Answer:
43
Step-by-step explanation:
Based on the graph of which statement is true?
A. The inverse of f exists.
B. The inverse of f does not exist.
Answer:
A
Step-by-step explanation:
Multiply: (x + 3)(x – 4)
What is the middle term in the simplified product?
Ox
O-X
3x
O4x
Answer:
- x
Step-by-step explanation:
[tex](x + 3)(x - 4) \\ = x(x - 4) + 3(x - 4) \\ = {x}^{2} - 4x + 3x - 12 \\ = {x}^{2} - x - 12 \\ middle \: term \: = - x[/tex]
Given: ΔABC, AC = BC, AB = 3 CD ⊥ AB , CD = square root of 3 Find: AC
Answer:
AC = 2.30
Step-by-step explanation:
Given: ΔABC, AC = BC, AB = 3 CD ⊥ AB , CD = [tex]\sqrt{3}[/tex].
Since CD ⊥ AB, thus CD divides AB into two equal parts.
From ΔACD, applying the Pythagoras theorem;
[tex]AC^{2}[/tex] = [tex]AD^{2}[/tex] + [tex]CD^{2}[/tex]
= [tex]1.5^{2}[/tex] + [tex](\sqrt{3}) ^{2}[/tex]
= 2.25 + 3
= 5.25
AC = [tex]\sqrt{5.25}[/tex]
= 2.2913
∴ AC = 2.30
What is the quotient of 6/7 divided by 3/14
Answer:
6/7 ÷ 3/14
= 6/7 × 14/3
= 2/7 × 14 (we cancelled 3 with 6)
= 2×2 (we cancelled 7 with 14)
= 4
hope it helps
Step-by-step explanation:
Answer:
[tex]\frac{6}{7} / \frac{3}{14} = \frac{6}{7} x \frac{14}{3} = (6)(14) / (7)(3) =\frac{84}{21} = 4[/tex]
Step-by-step explanation:
Hope this helps you!! ( BTW this means / Divide ).
Find the area of a rectangle whose side lengths are 4x² and 6x²– 3x.
A. 24x⁶– 12x²
B. 24x⁴ - 3x
C. 24x⁴ - 12x³
D. 20x³- 6x²
Answer:
c
Step-by-step explanation:
4x^2(6x^2-3x)
=24x^4-12x^3
Answer: C. 24x⁴ - 12x³
Step-by-step explanation:
The area of a rectangle is length × width.
4x² × (6x²– 3x) to answer this, we multiply 4x² for each term inside the parentheses.
4x² × 6x² = 24x⁴ (4 × 6 = 24 and x² × x² = x⁴)
4x² × -3x = -12x³ (4 × -3 = -12 and x² × x = x³)
So the answer is 24x⁴ - 12x³
The cost of a car is supposed to be no more than 80% of the value for the next year's
model. If a car costs $14,000, what is the cost of the next year's model?
Answer:
x ≥ 17,500
Step-by-step explanation:
To solve this problem, we will follow the steps below:
let x be the cost of the next year's model
Writing the question in a mathematical format yield
$14,000 ≤ 80% of x
This implies ;
80% of x ≥$14,000
80% × x ≥$14,000
[tex]\frac{80X}{100}[/tex] ≥ $14,000
multiply both-side of the inequality by 100
[tex]\frac{80X}{100}[/tex] × 100 ≥ $14,000 × 100
at the left hand-side of the inequality 100 will cancel-out 100 leaving us with just 80x
80x ≥ $1,400,000
Divide both-side of the equation by 80
80x /80 ≥ $1,400,000/80
x ≥ 17,500
Using the completing-the-square method, rewrite f(x) = x2 + 10x + 7 in vertex form
Answer:
f(x) = (x - (-5))^2 + (-18)
Step-by-step explanation:
Given:
f(x) = x^2 + 10x + 7
Rewrite f(x) in vertex form
Solution:
f(x) = ax^2 + bx + c is a quadratic function.
The vertex form of f(x) is a(x - h)^2 + k, where (h, k) is the vertex.
=> f(x) = x^2 + 10x + 7
= x^2 + 10x + 25 - 18
= (x + 5)^ - 18
= (x - (-5))^2 + (-18)
=> f(x) can be rewritten in form of a(x - h)^2 + k, where (h, k) is the vertex, with a = 1, h = -5, k = -18
Please help ASAP!!!!! I will give extra 20 points please help i really want to go roller blading !!!! The perimeter of a rectangle is dependent on the length of each of its sides. Suppose the base of a rectangle is two more than its height. Complete an input/output table for at least three pairs of inputs and outputs. Make sure to use values that make sense within the context of this situation.
Answer:
See below,
Step-by-step explanation:
Input Output
B H Perimeter (2B + 2H)
3 1 8
5 3 16
14 12 52
I hope this helps.
Jana has £1500 in her bank account.
She has 270 euros of money left from her last holiday and
she wants to put this into her bank account.
The bank will convert the euros into pounds using £1 =
1.1452 euros.
The bank deducts a fee of £0.89 from her savings account
for this conversion.
How much money does Jana now have in her bank
account?
£99. semoga membantu maksih
Answer:
The answer is 99 dollars
Step-by-step explanation:
Not showing workout...
Just showing how
1) Multiply 1.1452 * 270
2) Multiply 0.89 * 270
3) Subtract the second step from the first step
Hope this helps....
Pls mark my ans as brainliest :)Parents sold 275 tickets for a fundraiser at the community center. Student tickets cost $3, and adult tickets cost $5. The total value of tickets sold is $1,025. Which system of equations represents the problem? 3x + y = 275 x + 5y = 1025 y = 275 3x + y = 1025 x + y = 275 3x + 5y = 1025 y = x + 275 x + y = 1025
Answer:
3x+5y=1025
x+y=275
Step-by-step explanation:
We can use system of equations to solve this problem. Let's use x for student tickets and y for adult tickets.
Equation 1
3x+5y=1025
This equation comes from the cost of tickets. Each child ticket costs $3 and each adult ticket costs $5. The total value of tickets sold is $1025.
Equation 2
x+y=275
The total amount of tickets sold was 275.
to make it easier to explain you can say. Number 1 box is 57 number 2 box is77 something like that
Answer:
Box 1=5 Box2=6 Box3=8 Box4=200
Step-by-step explanation:
Answer:
Step-by-step explanation:
No.of balloons each will get = 5
no.of greeting cards = 6
no.of apples in each basket = 8
no. of words = 200words
hope it helps
THE IMAGE DOWN BELOW MATH PLEASE HELP ME WITH THIS ALEGEBRA IM CRYING YALL
Answer:
33.33 %
Step-by-step explanation:
Difference:
=> 27 - 18 = 9
%age Increase:
=> [tex]\frac{9}{27} * 100 %[/tex]
=> 33.33 %
Answer:
33.3 %
Step-by-step explanation:
13. Write the equation of a horizontal line that passes through the point (3, -3).
O x = -3
Ox= 3
O y = 3
O y = -3
Answer:
O y = -3
Step-by-step explanation:
The line is horizontal.
x = -3 and x = 3 are vertical lines, so they are incorrect.
The line passes through (3, -3).
(x , y)
Put y as -3.
y = 3
(-3) = 3
Line y = 3 is incorrect.
(-3) = -3
Line y = -3 is correct.
Answer:
O y = -3
Step-by-step explanation:
Equations beginning with 'x=' would form a vertical line, not a horizontal line.
The point (3,-3) would satisfy y = -3.
-3 = -3
O y = -3 should be the correct answer.
The length of a rectangle is 2 inches less than three times it’s width.and it’s perimeter is 36 inches .find the width of the rectangle. A. 5 in B .10 in C.4in
Answer:
A
Step-by-step explanation:
Let width =w in
Length = 3w - 2 in
Perimeter of rectangle = 36 inches
2* (length + width ) = 36
2*(3w -2 + w) = 36
2* (4w -2 ) = 36
2*4w - 2*2 = 36
8w - 4 = 36
Add 4 to both sides
8w - 4 + 4 = 36 +4
8w = 40
Divide both sides by 8
8w/8 = 40/8
w = 5
Width = 5 in
The height of a window is 0.6 feet less than 2.5 times its width. If the height of the window is 4.9 feet, which equation can be used to determine x, the width of the window? 2.5 x + 0.6 = 4.9 2.5 x minus 0.6 = 4.9 0.6 x + 2.5 = 4.9 0.6 x minus 2.5 = 4.9
answer
2.5 x-0.6=4.9
Step-by-step explanation:
The height of a window is 0.6 feet less than 2.5 times its width.
If the height of the window is 4.9 feet.
Substitute in [1] we have;
2.5x-0.6 = 4.9
Therefore, an equation can be used to determine x, the width of the window is, 2.5x-0.6 = 4.9
Answer:
Or B
Step-by-step explanation:
for those you look for letters only
5n+6+(−7n) answer olz
Answer:
-2n + 6
Step-by-step explanation:
When we simplify the equation, we add like terms. 5n - 7n is 2n and 6 doesn't have anything to add/subtract to, so we have -2n + 6
A six-sided die is rolled twice. What is the probability that the result of both rolls are
a 1?
01/6
2/36
1/36
2/6
Answer:
1/36
Step-by-step explanation:
If a cube rolls and it landed on one it’s 1/6 if u rolled he same cube and got one too then it’s still 1/6 so now u just multiply them
Hope this helps
Answer:
1/36.
Step-by-step explanation:
Each event of a die being rolled is an independent event, which means that each time you roll the die does not affect the next time you roll it.
The probability of getting a 1 on the first roll is going to be 1/6, since there is only one 1 on the 6-sided die.
The probability of getting a 1 on the second roll is also going to be 1/6, for the same reason.
So, if both rolls are going to be 1s, the probability that will happen is (1/6) times (1/6), which is 1/36.
Hope this helps!