Answer:
2000
Step-by-step explanation:
Since the number must be odd, it can have either 1, 3, 5, 7 or 9 in its one's place.
With a 4-digit number starting with 6, any of these digits can be in the one's place and it will still be greater than 6,000.
For the one's place, since we can choose from 5 digits, we have ⁵P₁. In the thousands place, we have one digit which is 6. For the tens and hundreds, place, we can choose from ten digits. So, we have ¹⁰P₁ and ¹⁰P₁ respectively.
So, the total number of 4 digit odd numbers greater than 6000 starting with 6 are 1 × ¹⁰P₁ × ¹⁰P₁ × ⁵P₁ = 1 × 10 × 10 × 5 = 500 numbers.
For the thousands place, we are left with the digits 7, 8 and 9. So, to arrange these 3 digits in the thousands place, we have ³P₁. For the tens and hundreds, place, we can choose from ten digits. So, we have ¹⁰P₁ and ¹⁰P₁ respectively. For the one's place, since we can choose from 5 digits, we have ⁵P₁.
So, the total number of 4 digit odd numbers greater than 6000 starting with 7, 8 or 9 are ³P₁ × ¹⁰P₁ × ¹⁰P₁ × ⁵P₁ = 3 × 10 × 10 × 5 = 1500 numbers.
So, the total number of 4-digit numbers greater than 6000 that can be constructed is 500 + 1500 = 2000 numbers.
proportional linear relationships can be represented in how many different forms
Proportional Linear Relationships can be expressed in the following ways:
a graphan equation, or a list of points.What is a proportional linear relationship?From a graphical point of view, a relationship is proportional and linear if the line representing the equation goes via the origin. It is to be noted that a relationship must be linear for it to be proportional and vice versa.
Thus, it is correct to state that Proportional Linear Relationships can be expressed in the following ways:
a graphan equation, or a list of points.An example of an equation that is proportional and linear is:
y = 6x + 8. Note that this linear equation is proportional because it has a constant component.
Learn more about the proportional linear relationships at;
https://brainly.com/question/2143065
#SPJ6
If you know the answer to any of these please Ill mark brainliest.
Answer:
Step-by-step explanation:
1) 2/9 = 185/x
2x = 1665
x = 832.5 or 8.325 meters
2) unit rate is the cost of one unit
i.e a dozen eggs cost $1.20 that
would be 10 cents each
3) 300 tissues for $3.75 vs. 250 for $2.99
one is 1.24 cents per tissue
the other 1.19 ... the 250 package is a better buy
which of the following functions is graphed below?
Answer:
d number on is the wright answer
hope it may help you
Which number line model represents the expression 5/2 + 3
The line graph (A) represents the expression 5/2 + 3 the first term is 2 and-a-half units, and the second term is 3 units option (A) is correct.
What is a number line?It is defined as the representation of the numbers on a straight line that goes infinitely on both sides.
We have an expression:
= 5/2 + 3
Here 5/2 = 2.5 = 2 and half
= 2.5 + 3
The first arrow should indicate the 2 and-a-half unit
And the second arrow should represent the 3 unit
The line graph(A) represents the above situation or expression.
Thus, the line graph (A) represents the expression 5/2 + 3 the first term is 2 and-a-half units, and the second term is 3 units option (A) is correct.
Learn more about the number line here:
brainly.com/question/13189025
#SPJ1
Find the inverse of the function y = x2 – 12
Answer: [tex]y=\sqrt{x+12}[/tex]
Step-by-step explanation:
I hope you mean y = x² - 12 and not y = 2x - 12.
You switch the y and x variables:
x = y² - 12
And solve for y:
x + 12 = y²
[tex]y=\sqrt{x+12}[/tex]
what is the measure of arc TUV
Answer:
196°
Step-by-step explanation:
A full circle has an arc measure of 360°.
360° - 164° = 196°
Answer: 196°
Find a solution to the following system of equations –5x + 2y = 9 3x + 5y = 7
Answer: (-1, 2)
Step-by-step explanation:
Let's start by solving for x in
[tex]-5x+2y=9\\-5x+2y+-2y=9+-2y\\-5x=9+-2y\\\frac{-5x}{-5} =\frac{9+-2y}{-5} \\x=\frac{2}{5} y+\frac{-9}{5}[/tex]
We can now sub this value of x in 3x+5y=7 and solve
[tex]3x+5y=7\\3(\frac{2}{5} y+\frac{-9}{5})+5y=7\\(3)(\frac{2}{5} y)+(3)(\frac{-9}{5})+5y=7\\\frac{6}{5} y+\frac{-27}{5}+5y=7\\\frac{6}{5} y+\frac{25}{5}y +\frac{-27}{5}=7\\\frac{31}{5} y+\frac{-27}{5}=7\\\frac{31}{5} y+\frac{-27}{5}+\frac{27}{5}=7+\frac{27}{5}\\\frac{31}{5} y=\frac{62}{5} \\\frac{\frac{31}{5} y}{\frac{31}{5}} =\frac{\frac{62}{5} }{\frac{31}{5}} \\y=2[/tex]
Now we can sub in 2 for y in one of the equations
[tex]3x+5(2)=7\\3x+10=7\\3x+10-10=7-10\\3x=-3\\\frac{3x}{3} =\frac{-3}{3} \\x=-1[/tex]
x=-1 and y=2 giving us the point (-1, 2)
The ages of Raju and Ravi are in the ratio 3:4 .Four years from now the ratio of their ages will be 4:5 . Find their present ages.
Answer:
Age of Raju = 12
Age of Ravi = 16
Step-by-step explanation:
Let the Ages of Raju and Ravi be 3x and 4x years
According to question, [tex]\frac{3x+4}{4x+4}[/tex] = [tex]\frac{4}{5}[/tex]
⇒ 5(3x+4)=4(4x+4)
⇒ 15x+20 = 16x+16
⇒ 15x−16x=16 - 20
⇒ −x = −4
⇒ x = 4
Age of Raju = 3 × 4 = 12
Age of Ravi = 4 × 4 = 16
HOPE IT HELPS!!
Answer:
raju=16 years
Ravi=20 years
Step-by-step explanation:
raju =4×4=16
Ravi=5×4=20
product of (6x+8us^2)(x-us^2)
Answer:
−8s4u2+2s2ux+6x2
Step-by-step explanation:
=(6x+8us2)(x+−s2u)
=(6x)(x)+(6x)(−s2u)+(8us2)(x)+(8us2)(−s2u)
=6x2−6s2ux+8s2ux−8s4u2
=−8s4u2+2s2ux+6x2
Answer:
6x² + 2xus² - 8u²s^4
Step-by-step explanation:
(6x+8us²)(x-us²)
6x² - 6xus² + 8xus² - 8u²s^4
6x² + 2xus² - 8u²s^4
HELP ME I HAVE ONLY TODAY LEF TFOR SCHOOL PLS!!!!!
Suppose yogurt is on sale for $0.85 a piece, and you have a coupon for $0.99 off your total purchase. Write a function rule for the cost oh N yogurts. How much would 15 yogurts cost?
A: C(n) = $0.99n - $0.85; $14.00
B: C(n) = $0.85n - $0.99; $11.76
C: C(n) = $0.85n; $12.75
D: C(n) = $0.99n; $14.85
Answer:
B
Step-by-step explanation:
n is how many you buy times the price of $0.85 and then you subtract a coupon for $0.99 for the entire purchase.
Please answer the question that is attached below
Refer to the picture in the question for reference.
A statement-reason format is used to solve this problem. Statements are in normal print, reasons are bolded.
Statement Reason
1. AD = AE Given
<B = <C
2. <A = <A Reflexive Property
3. ΔABE = ΔACD Angle - Angle - Side
The given information refers to the information that is given with the problem.
The reflexive property states that if two polygons share a part (a side or an angle), then this part called in one of the polygons is congruent to itself in the other polygon.
Finally, the (angle-angle-side) congruence theorem states that if two triangles have two congruent angles and a congruent side between them, then the triangles as a whole are congruent to each other.
click the image below to find out the question.
Cindy is hosting a potluck dinner for her book club. The more book club members who attend, the more chairs she will need. m = the number of members who attend the potluck c = the number of chairs Cindy will need Which of the variables is independent and which is dependent? A. c is the independent variable and m is the dependent variable B. m is the independent variable and c is the dependent variable
Answer:
B.
Step-by-step explanation:
m is the driving number in this system of numbers. whatever its value, all the others need to adjust to it.
c depends fully on m. if and when m increases, then also c has to increase.
Find the values of x and y.
Answer:
x=14
y=24
Step-by-step explanation:
4y+42=8y-54
4y-8y=54-42
-4y/4=96/-4
y=24
solving for x
5x-28=7x-56
5x-7x=-56+28
-2x/-2=-28/-2
x=14
Can someone help me with this math homework please!
Answer:
Step-by-step explanation:
Arlene is a clothing store manager and she set the price for a pair of jeans at $40 and is selling 120 pairs each week. She estimates that if she changes the price by x dollars, where x can be positive or negative. she will sell 120 - 3x pairs of jeans a week, for a total of (40 + x)(120 - 5x) dollars in sales. According to her estimate, what will result in the greatest value of sales?
A) Decreasing the price by $2.50
B) Decreasing the price by 51.50
C) Leaving the price unchanged.
D) Increasing the price by $2.00.
Answer:
B
Step-by-step explanation:
This is literlly the same question I had 2 minutes ago
Find the length of CZ
A. 32
B. 45
C. 9
D. 1
Answer:
c
Step-by-step explanation:
just took it
Answer:
D. 1
Step-by-step explanation:
CA = 17
ZA = 16
CZ + ZA = CA
CZ + 16 = 17
CZ = 1
D. 1
Circle the equation of a straight line that does not intersect the curve y = x2
(1 m
y = 5
X=-3
y = 2x - 5
y= -3x + 1
Answer:
[tex] \boxed{y = 2x\: – \: 5} [/tex]
Using interval notation, identify the domain for the function:
Answer:
d)
Step-by-step explanation:
>The domain are all the values of x , so you can graph on the calculator that on the x-axis the graph starts at 9 and keeps going to the right so the domain is x≥9 or [9,∞)
or
>Solve for x in the given equation when f(x) =y = 0 to find the roots
√(x-9) = 0 , square both sides
x-9 = 0 , add 9 to both sides
x= 9
from this root the graph moves to the right to ∞
the domain is [9, ∞)
Find the measure of each angle indicated.
23)
A) 125°
C) 120°
B) 110°
D) 112°
Answer:
B
Step-by-step explanation:
The exterior angles of the triangle sum to 360° , then
? + 107° + 143° = 360°
? + 250° = 360° ( subtract 250° from both sides )
? = 110° → B
Find the measure of the missing angle using the exterior angle sum theorm.
Answer:
28°
Step-by-step explanation:
Theorem: the exterior angle of a triangle is equal tobthe sum of opposite interior angles of the triangle
therefore,
55 = unknown angle + 27
let the unknown angle be x
55 = x + 27
isolating x
x = 55 - 27
x = 28
thus, the missing angle is 28°
The sum of a father's and his son's age is 60. Eight years ago, the father's age was 3 times that of his son. How old is each of them?
Answer:
Father=41
Son=19
Step-by-step explanation:
Father=f
Son=s
f+s=60
Eight years ago would mean that 16 is subtracted from 60 since there is both of them
3s+s=4s
4s=44
s=11
11+8=19
33+8=41
Ava graphs the function h(x) = x2 + 4. Victor graphs the function g(x) = (x + 4)2. Which statements are true regarding the two graphs? Select three options.
Ava’s graph is a vertical translation of f(x) = x2.
Victor’s graph is a vertical translation of f(x) = x2.
Ava’s graph moved 4 units from f(x) = x2 in a positive direction.
Victor’s graph moved 4 units from f(x) = x2 in a positive direction.
Ava’s graph has a y-intercept of 4.
Answer:
Step-by-step explanation:
A: true. Her graph goes 4 units up.
B: False. His graph goes 4 units to the left. Be sure you check this answer out.
C: True. It moved from (0,0) to (0,4)
D: Victor's graph move left in the minus direction. False.
E. True. See C.
The correct statements are true regarding the two graphs are as follows;
Ava’s graph is a vertical translation of f(x) = x^2.
Ava’s graph moved 4 units from f(x) = x^2 in a positive direction.
Ava’s graph has a y-intercept of 4.
What is the function?A function relates an input to an output. It is like a machine that has an input and an output. And the output is related somehow to the input.
Ava graphs the function h(x) = x^2 + 4.
Victor graphs the function g(x) = (x + 4)^2.
To find the y-intercept we plug in 0 for x;
[tex]\rm h(x) = x^2 + 4\\\\h(0)=(0)^2+4\\\\h(0)=4[/tex]
Ava’s graph has a y-intercept of 4.
Ava graphs the function h(x) = x^2 + 4.
If any number is added at the end then the graph will be shifted up. 4 is added at the end so there will be vertical translation.
Hence , Ava’s graph is a vertical translation of f(x) = x^2.
Also Ava moved 4 units up from f(x) = x^2 in a positive y- direction.
Victor graphs the function g(x) = (x + 4)^2.
If any number is added with x then the graph will be shifted left. the graph will be shifted in the negative x-direction.
Learn more about function here;
https://brainly.com/question/1453942
#SPJ2
In the adjoining parallelogram ABCD, A is joined to any point E on BC. AE and DC produced meet at E Prove that. area of ∆BEF = area of ∆ CDE
Answer:
In parallelogram ABCD any point E is taken on the side BC . AE and DC when produced to meet at a point M . Prove that ar(ADM) = ar(ABMC) .Solve for x. Round to the nearest tenth, if necessary. Calculating Sin or Cos or Tan
Answer:
x = 3.6
Step-by-step explanation:
[tex]Cos \theta = \frac{adjacent}{hypotenuse} \\\\ \ where \ \theta = 69^\circ , \ adjacent = TS = x ,\ Hypotenuse = SU = 10[/tex]
[tex]cos \ 69 = \frac{x}{10}\\\\x = 10 \times cos \ 69\\\\x = 10 \times 0.3584\\\\x= 3.584 \\\\x = 3.6[/tex]
I NEED HELP AND NOBODY HELPING ME !!
Verda used a sensor to measure the speed of a moving car at different times. At each time, the sensor measured the speed of the car in both miles per hour and kilometers per hour. The table below shows her results
Answer:
Option A
Step-by-step explanation:
If the speed of a car in miles per hour (m) is proportional to the speed in kilometers per hour (k),
m ∝ k
m = ck
Here, c = Proportionality constant
Therefore, c = [tex]\frac{m}{k}[/tex] should be constant for each value given in the table.
For m = 11 and k = 17.699,
c = [tex]\frac{11}{17.699}[/tex]
c = 0.6215
For m = 26 and k = 41.834,
c = [tex]\frac{26}{41.834}[/tex]
c = 0.6215
For m = 34 and k = 54.706,
c = [tex]\frac{34}{54.706}[/tex]
c = 0.6215
Therefore, c is constant for each value of m and k.
Option A will be the correct option.
Which of the following is an arithmetic sequence?
Someone tell me where everyone is going right please !!
Answer:
Step-by-step explanation:
( 2 , 3 ) , ( 6 , - 5) , ( - 1 , 3 ) - is a function
( 1 , 9 ) , ( -3 , - 2 ) , ( 1 , - 4 ) - is a function
( 7 , - 4 ) , ( 0 , 9 ) , ( 2 , - 2 ) - is a function
( 0 , 3 ) , ( 0 , 7 ) , ( 4 , 0 ) - is a function
( -6 , 5 ) , ( -5 , 6 ) , ( 8 , 2 ) - is a function
On a multiple choice test, you earn 2 points for each correct answer, 1 point for every
question left blank, and you lose a point for every incorrect answer. Let C be the number of correct
answers, B be the number of questions left blank, and W be the number of incorrect answers.
a) Write an expression for a student's total score. Identify the coefficients and variables in each
term.
b) What type of polynomial is this mk
Answer:
2c+b-w It is a trinomial.
Step-by-step explanation:
Making the equation is pretty easy. Since you get 2 points for corrent answers, we can write down 2c. You get one point for blank, so you can write down 1b, or just b. And, since you get -1 point for each incorrect answer, you can write down -1w, or just -w.
So, if you put the equation together, you will get 2c+b-w for the equation.
Since this equation have 3 terms (2c, b, and w) seperated by the + and -, we know that it is a trinomial.
