Answer:
the answer is 777.92 million kilometers
Step-by-step explanation:
The distance between Jupiter and Sun is 777.92 million km
What is distance?Distance is defined to be the magnitude or size of displacement between two positions.
Given that the distance between Earth and Sun is 149.6 million km and Jupiter is about 5.2 times farther away from the Sun than Earth is,
Therefore, distance between Sun and Jupiter is = 149.6 × 5.2 = 777.92 million km
Hence, the distance between Jupiter and Sun is 777.92 million km
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Error Analysis A store is instructed by corporate headquarters to put a markup of 43% on all
items. An item costing $7 is displayed by the store manager at a selling price of $3. As an
employee, you notice that this selling price is incorrect. Find the correct selling price. What was the
manager's likely error?
The correct selling price is $0 (Round to the nearest dollar as needed.)
Answer:
$10
Step-by-step explanation:
To calculate markup, you take you cost and then multiply it by the markup percentage (in decimal form), then add that number to the original cost. So the formula will look like this.
Selling Price = Cost + (Cost X Markup Percentage)
Let's use X to be the selling price you are looking for.
X = $7 + ( $7 x 0.43) 0.43 is the decimal value of 43 percent
Work on the numbers in parentheses first:
$7 x 0.43 = $ 3.01
now add that to the original cost:
$7 + $ 3.01 = $ 10.01
Round to the nearest dollar and you have $10.
The manager made the mistake of multiplying the markup percentage and the original cost.
$7 x 0.43 = $ 3.01
He subtracted the markup instead of adding it to the original cost.
5x + 5/4 = x − 3/9 please show work
What is the percent of change from 5,000 to 8,000?
Step-by-step explanation:
% change = (new - original)/original × 100
= (8,000 - 5,000)/5,000 × 100
= 3,000/5000 × 100
= 60%
Expand (2x + 3)^5 using the Binomial Theorem and Pascal’s triangle. Show all steps.
Answer:
32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243
Step-by-step explanation:
(2x + 3)⁵
₅C₀ (2x)⁵ (3)⁰ + ₅C₁ (2x)⁴ (3)¹ + ₅C₂ (2x)³ (3)² + ₅C₃ (2x)² (3)³ + ₅C₄ (2x)¹ (3)⁴ + ₅C₅ (2x)⁰ (3)⁵
Use Pascal's triangle to find nCr.
[tex]\left\begin{array}{c}1\\1\ 1\\1\ 2\ 1\\1\ 3\ 3\ 1\\1\ 4\ 6\ 4\ 1\\1\ 5\ 10\ 10\ 5\ 1\end{array}\right[/tex]
1 (2x)⁵ (3)⁰ + 5 (2x)⁴ (3)¹ + 10 (2x)³ (3)² + 10 (2x)² (3)³ + 5 (2x)¹ (3)⁴ + 1 (2x)⁰ (3)⁵
(2x)⁵ + 15 (2x)⁴ + 90 (2x)³ + 270 (2x)² + 405 (2x)¹ + 243
32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243
An arts academy requires there to be 3 teachers for every 54 students and 6 tutors for
every 60 students. How many students does the academy have per teacher? Per tutor? How many
tutors does the academy need if it has 130 students?
Answer: The academy has 18 students per teacher. The academy has 10 students per tutor. The academy needs 13 tutors for 130 students.
Step-by-step explanation:
54/3=18
60/6=10
130/10=13
Answer:
The academy has 19 students per teacher.
The academy has 12 students per tutor.
The academy needs 12 tutors.
Step-by-step explanation:
A person is riding a bicycle along a straight highway.
The graph at the right shows the rider's distance y in miles from a First Aid Station after x
hours.
(a) Find the slope-intercept form of the equation of the line.
Answer:
y=28/3x+6
Step-by-step explanation:
If you use the slope formula, y2-y1
_____\
x2-x1
You would get that the slope is 23/3 and you can see the y-intercept is 6 so you would get y=28/3x+6.
Max has a Starbucks' gift card for $50. HIs favorite drink is the S'mores Frappuccino. Each drink costs $4.25. How many frappuccinos can Max purchase with his gift card? Write an inequality to represent the number of frappuccinos Max can purchase. How many frappuccinos can Max purchase with his gift card?
Answer:
4.25x ≤ 50
Number of drink = 11
Step-by-step explanation:
Given:
Amount of gift card = $50
Each drink cost = $4.25
Find:
Number of drink
Computation:
Assume;
Number of drink = x
So,
4.25x ≤ 50
x ≤ 11.76
so,
Number of drink = 11
Chantel counted 48 books on 6 shelves in the library. How many books would she expect to count on 12 shelves?
Write 68,127,000,000,000,000 in scientific notation. (x10^
Answer:
6.8127 × 10^16
Step-by-step explanation:
Hope this helps:)
Answer:
6.8127 *10^16
Step-by-step explanation:
Scientific notation is a way to make these numbers easier to work with. In scientific notation, you move the decimal place until you have a number between 1 and 10. Then you add a power of ten that tells how many places you moved the decimal.
Of 630 students in a school, 270 went to the school dance. About what percent of the students went to the dance?
Answer:
42.9% or 43%
Step-by-step explanation:
270÷630=0.4285714286
0.4285714286 × 100 = 42.85714286
Rounded - 42.9% or 43%
Complete the sentence.
The intersection of a circle and a regular hexagon can be....
-two line segments
-a triangle
-two points
-a trapezoid
Answer: two points
Step-by-step explanation:
The intersection of a circle and a regular hexagon can be two pints option (C) two points is correct.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
It is given that:
The intersection of a circle and a regular hexagon.
As we know, the polygon is a geometric figure with a finite number of sides in two dimensions.
On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.
If the circle and regular hexagon will intersect on a coordinate plane then it will create two intersection points.
Thus, the intersection of a circle and a regular hexagon can be two pints option (C) two points is correct.
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I need help please
In a class 28 of students, 9 are female and 5 have an A in the class. There are 17
students who are male and do not have an A in the class. What is the probability that
a student chosen randomly from the class is a male who does not have an A?
Answer:5/7
Step-by-step explanation:
What is the answer for this question.
Answer:
x is a real number
Step-by-step explanation:
The graph represents the balance on Harrison’s car loan in the months since purchasing the car.
Answer: It’s A
Step-by-step explanation:
Answer:
A,the loan balance decreases $500 per month.
Step-by-step explanation:
The picture is above. PLEASE HELP.
Answer:
f(4) = -28
Step-by-step explanation:
f(x) = -[tex]x^{2}[/tex] - 6x + 12
f(4) = -[tex]4^{2}[/tex] - 6(4) + 12
f(4) = -16 - 24 + 12
f(4) = -40 + 12
f(4) = -28
Simplify: (3x2 - 4x+6) + (7x-2)
OA. 3x2 + 3x + 4
OB. 3x2-11X-8
OC. 3x2 + 11x + 4
OD.
10.x2 - 6x + 6
Answer:
3x^(2)+3x+4
Step-by-step explanation:
Answer:
[tex]3x^{2} +3x+4[/tex]
Step-by-step explanation:
1.)Remove the parentheses [tex]3x^{2}-4x+6+7x-2[/tex]
2.)Group like terms
3.)Add similar elements -4x-7x=3x = [tex]3x^{2}+3x+6-2[/tex]
4,)Add/Subtract the numbers 6-2=4
5.)[tex]=3x^{2} +3x+4[/tex]
:)Hope you enjoy this:)WIILL GIVE BRAINLIEST.
Which statement best illustrates using the vertical line test to determine if the graph below is a function of x?
The graph is not a function of x because the line x = 0 intersects the graph at two points.
The graph is a function of x because the line x = 5 does not intersect the graph.
The graph is not a function of x because the line y = 0 intersects the graph at two points.
The graph is a function of x because the line y = 5 does not intersect the graph.
Answer:
C: The graph is not a function of x because the line y = 0 intersects the graph at two points.
Step-by-step explanation:
The line y = 0 will intersect the ellipse at the points, (-4 , 0) , (4 , 0)
Compare and contrast a postulate , theorem and a conjecture
Answer:
Postulates and conjectures are similar in that they are both used in mathematical proofs. The difference between them is that whilst a conjecture is a opinion that is put forward without proof, and that simply represents a belief, a postulate it something that is assumed true (but still does not have any proof behind it).
Step-by-step explanation:
Answer: Postulate – this is also called as axiom. This study is accepted without asking for any proof. This is considered as true without further proof. IT is simply considered as self-evident. It is usually agreed by anyone to be true and acceptable.
Example of postulate is to prove a simple triangle as congruent.
While conjecture – considered as proposition in which it needs to provide value proof or evident in order for it to be considered as true.
Examples of conjecture are four color theorems and Fermat’s Last theorem.
Step-by-step explanation:
The local craft fair charges the vendors a flat fee of $15 plus $5 for each hour that they spend at the fair. If the vendor owed how many hours did he remain at the craft fair ?
Answer:
Equation should be: 15x + 5 = y
Step-by-step explanation:
I do not know the amount of money that he owed
For Example :
15(12) + 5 = y
180 + 5 = y
y = 185
Sorry if I'm incorrect
HELLPPP 7th grade!!! ILL BRAINLIST LIST 15 points!!!
Answer:
maria : 1/3 =0.3 line on top of three
franco:1/4=0.25
Step-by-step explanation:
tried my best hope its right :)
Answer:
Maria: 1/3 cups for each gallon
Step-by-step explanation:
Maria: 2/3 for every 2 gallons. 2/3:2
Franco: 1 1/4 for every 5 gallons. 1 1/4/:5
Okay, so I'm actually going to do it my way.
Maria : [tex]\frac{2}{3} = 4/6\\\frac{4}{6} /2 =2/6[/tex]
So, I simply turn it into a bigger fraction and cut it in half!
So, Maria uses 1/3 of a cup for each gallon
Hope this will help you figure out Franco's!!!
Two sides of a right triangle measure 2 units and 4 units. What is the area of the square that shares a side with the third side of the triangle?
Answer:
The area of the square is 12 squares unit
HURRY PLEASE!! :(
Find c(8) in the sequence given by c(n) = 20 – 17(n − 1)
given line segment jl with j(8 -8) and l(-16 -2) find the coordinates of K if K divides line segment JL two-thirds of the way from J to L
Answer:
(-8, -4)Step-by-step explanation:
GivenLine segment JL with J(8, -8) and L(-16, -2)To findCoordinates of K if K divides JL two-thirds from JSolutionJK = 2/3JLCoordinates of K
x = 8 + 2/3(-16 - 8) = 8 + 2/3(-24) = 8 - 16 = - 8y = -8 + 2/3(-2 - (-8)) = -8 + 2/3(6) = -8 + 4 = - 4K = (-8, -4)Given h(x) = 3x + 4, solve for x when h(x) = 1
(Will mark brainliest)
Answer:
x is -1
Step-by-step explanation:
subtract 4 from 1 to get -3, then you have -3+3x then divide both sides by 3 to get x+-1
Answer:
-1
Step-by-step explanation:
186.555 rounded to the nearest hundredth
Answer:
186.56
Step-by-step explanation:
hope this helps
PLS HELP HURRY ILL MARK AS A BRAINLESS
Answer:
I think the answer is 31 I'm not sure tho this isn't my strongest subject
Over the next 15 months you have to read at least 75 books. You have to read x books per month. The inequality "15x is greater than or equal to 75" represents this situation. Solve the inequality to find the number of books you have to read per month.
this fall 126 students participated in the soccer program, while 54 played volleyball. what was the ratio of soccer players to volleyball player?
Answer:
126:54, or
63:27,or
7:3
Step-by-step explanation:
we can see that 126 can be divided by 2, and so can 54, so we reduce to #2,
we can see #2 can be divided by 9, so we get to #3
-3x + 9 = -3(2x + 3)+3(x-4)+1 how many solutions dos his equation have
Answer:
The answer is no solution or 0 solutions
Step-by-step explanation:
-3x + 9 = -3(2x + 3)+3(x-4)+1
−3x+9=−6x−9+3x−12+1
−3x+9=−3x−20
9=−20
no solution