Answer: Neptune is 34.64 times farther than Earth from the sun.
Step-by-step explanation:
Given: Distance from Earth to the sun is [tex]1.5\times10^8[/tex] miles.
Distance from Earth to the sun is [tex]5.196\times10^9[/tex] miles.
Number of times farther is it from Neptune to the sun= [tex]\dfrac{\text{distance from Neptune to the sun}}{\text{distance from Earth to the sun}}[/tex]
[tex]=\dfrac{5.196\times10^9}{1.5\times10^8}\\\\=\dfrac{5.196}{1.5}\times10^{9-8}\\\\= 3.464\times10=34.64[/tex]
Hence, Neptune is 34.64 times farther than Earth from the sun.
The comparison of the distances between Earth and Sun, and Neptune and Sun is needed.
Neptune is [tex]34.64[/tex] times the distance between Earth and Sun.
Ratios[tex]d_{es}[/tex] = Distance between Earth and Sun = [tex]1.5\times 10^8\ \text{miles}[/tex]
[tex]d_{ns}[/tex] = Distance between Neptune and Sun = [tex]5.196\times 10^{9}\ \text{miles}[/tex]
Dividing the given distances
[tex]\dfrac{d_{ns}}{d_{es}}=\dfrac{5.196\times 10^{9}}{1.5\times 10^8}\\\Rightarrow d_{ns}=34.64d_{es}[/tex]
Learn more about ratios:
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Line I is parallel to line m. If the measure of <6 is 75, what is the measure of <3
Answer:
m∠3 = 105°
Step-by-step explanation:
Line 'l' is parallel to line 'm' and a transversal is intersecting these parallel lines at two distinct points.
m∠3 + m∠6 = 180° [Consecutive interior angles]
Since, ∠6 = 75° [Given]
m∠3 + 75° = 180°
m∠3 = 180 - 75
= 105°
Therefore, measure of ∠3 is 105°.
In the given diagram, the measure of ∠3 is 105°
From the question,
We are to determine the measure of ∠3
In the diagram, ∠3 and ∠6 are consecutive interior angles
NOTE:
If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary
That is,
∠3 + ∠6 = 180°
From the given information,
∠6 = 75°
Then, we can write that
∠3 + 75° = 180°
∠3 = 180° - 75°
∠3 = 105°
Hence, the measure of ∠3 is 105°
Learn more on finding the measures of angles here: https://brainly.com/question/2883630
HELP PLEASE AND THANK U.
Step-by-step explanation:
6x - y/z
but x=6, y=8 and z=4
6(6) - 8/4
36 - 8/4
28/4
=7
y = 2x + 4.6
m = ____ b = ____
fill in the blank !!!
Answer:
m = 2, b = 4.6
Step-by-step explanation:
The slope intercept formula is y = mx + b, So you can substitute for the values given.
Suppose your school is located 1.2 miles south of your home. The mall is located 3.2 miles west of the school. What is the shortest distance between your house and the mall
Answer:
4.4
Step-by-step explanation:
1.2+3.2= 4.4
Pls help me..... It due ASAP
Answer:
D
Step-by-step explanation:
D is the right answer for the question
There are 8 boys and 12 girls in mr.Rossi’s class. One student Will be chosen randomly to represent the class at the conference of seventh grade. What is the probability that the representative will be a girl?
Step-by-step explanation:
[tex]8 + 12 = 20 \\ probability \: = expected \: outcome \div possible \: outcome \\ \\ \\ \frac{12}{20 } = \frac{3}{4} [/tex]
A cheetah can run 60 miles per hour. A lion can
run 25 miles in half an hour. Which animal is
faster, and by how much?
A. The cheetah is faster by 10 miles per
hour.
B. The lion is faster by 10 miles per hour.
C. The cheetah is faster by 35 miles per
hour.
D. The lion is faster by 35 miles per hour.
Answer:
Step-by-step explanation:
cheetah runs 60 miles/hour
lion runs 50 miles/hour
answer A
Answer:
A. the cheetah is faster by 10 miles
Step-by-step explanation:
If you add the other half hour a lion can run (25 miles) 25+25=50, 60 is greater than 50 by 10.
another one of these, god help me
Answer:
24x+48
Step-by-step explanation:
(3x+6)(8)
=8(3x+6)
=(8*3x)+(8*6)
=24x+48
Answer: 24x + 48
Step-by-step explanation:
The formula to find the are of a rectangle is A=LW. A being the total area, W being the width, or the value on the bottom (8), and L being length how tall the object is (3x+6).
First you must replace L and W, for their given values.
A= (L) (W)
A= (3x+6) (8)
Then, simply simplify by multiplying 3x+6 by 8
You would end up getting 24x + 48
PLZ: show work, solve for x:
x+11/-2=-8
x+11/-2 x -2= -8 x -2
x+11= 16
X+11-11=16-11
x = 5
h (x) = x + 4; Find h (x – 3)
Answer:
The answer is option 2.
Step-by-step explanation:
You have to substitute the expressions into x :
h(x) = x + 4
h(x - 3) = (x - 3) + 4
h(x - 3) = x - 3 + 4
h(x - 3) = x + 1
At Martin Luther King Jr. High School 7 out of 9 students voted to plant trees at the front of the school. A total of 119 voted to plant the trees. How many students voted?
A. 153
B. 272
C. 128
D. 135
Answer:
D
Step-by-step explanation:
hi i am NyLa. i am the founder of "BGP" Blckgirlpower. I just opened new spots on my team if you want to join email me at fnyla36 comment to join. You have to be 11- 13 its ok to be shy but at least give it a chance. Hope to see you soon !
Jacqui is selling scented candles as a fundraiser for a school field trip. Each cinnamon candle sells for $3.50 and each chocolate candle sells for $2.50. She raised a total of $94.50 for the trip. The number of chocolate candles that Jacqui sold is three less than twice the number of cinnamon candles. Let c represent the number of chocolate candles and let m represent the number of cinnamon candles. How many chocolate candles did Jacqui sell?
Answer:
Number of cinammon = 12
Number of chocolate = 21
Step-by-step explanation:
Given that:
Cost of Cinnamon candle , c = $3.50
Cost of chocolate candle , d = $2.50
Total amount raised, T = $94.50
d = 2c - 3
Total amount = (cost of Cinnamon * number sold) + (cost of chocolate * number sold)
94.50 = (3.50 * c) + (2.50 * (2c-3))
94.50 = 3.50c + 5c - 7.5
94.50 = 8.50c - 7.5
94.50 + 7.5 = 8.50c
102 = 8.50c
c = 102 / 8.50
c = 12
d = 2c - 3
d = 2(12) - 3
d = 24 - 3
d = 21
Answer:
D.) 21
Step-by-step explanation:
HELP ASAP
a country's population in 1993 was 85 million.
In 1996 it was 90 million. Estimate
the population in 2015 using the exponential
growth formula. Round your answer to the
nearest million.
129 million I took the application already
Find the percent of decrease
From 64 photos to 21 photos
Answer:
67.2
Step-by-step explanation:
64 - 21 = 43
43/64 × 100 = 67.188
Libby, Mike and Kyle share £44 in the ratio 2 : 3:6
Find how much money each of them will receive.
Libby: £
Mike: £
Kyle: £
Answer:
libby: £8
Mike: £12
Kyle: £24
Step-by-step explanation:
hope I helped
PLEASEEE ANYONEE HELP MEE IM ALMOST DONE
Answer:
Step-by-step explanation:
Sam and her friends are going on a road trip that is 124.8 miles long they have already driven 112.9. How much farther do they have to drive? 10
Plzzzzzz help! What is the area of figure A?
Answer:
A=24m^2
Step-by-step explanation:
to find the area of this figure you can approach it multiple ways, the simplest way is to split it into two rectangles
respectively one 6m by 3m and another 3m by 2m
find the areas of each rectangle and add them both to get the total area of the figure
(6m*3m)+(3m*2m)=(18+6)m^2=24m^2
To rent a certain meeting room, a college charges a reservation fee of $36 and an additional fee of $8.80 per hour. The history club wants to spend less than
$106.40 on renting the meeting room
What are the possible amounts of time for which they could rent the meeting room?
Use t for the number of hours the meeting room is rented, and solve your inequality for t.
Answer:
the maximum hours that they can rent it for is 8
Step-by-step explanation:
36 + 8.8t < 106.4
8.8t < 70.4
t < 8
My guys pls come help me I will give brainliest
Answer:
6ft
Step-by-step explanation:
Answer:
sorry dude
Step-by-step explanation:
Help please: I'll give you kool aid if you do
Answer:
Its a scammmmmm
Step-by-step explanation:
Answer:
Step-by-step explanation:
Someone pls help me and if u don’t mind can u do the others on my page
9514 1404 393
Answer:
D) a = b= 2√2
Step-by-step explanation:
The hypotenuse of an isosceles right triangle is √2 times the side length. This means you have ...
a√2 = 4
a = 4/√2 = 4(√2)/2 = 2√2
Of course, the side lengths are the same (as all answer choices show you). The correct choice is ...
a = 2√2, b = 2√2
Find the product of the monomial and the polynomial: 4x^3y^3*(3x^3-7xy^2+2xy-y)
Answer: 12x^6y^3-28x^4y^5+8x^4y^4-4x^3y^4
Step-by-step explanation:
The requierd product of 4x³y³ and (3x³-7xy²+2xy-y) is:
12x⁶y³ - 28x⁴y⁵ + 8x⁴y⁴ - 4x³y⁴
What is a polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
The monomial and the polynomial are given in the question, as follows:
4x³y³ × (3x³-7xy²+2xy-y)
To find the product of the monomial 4x³y³ and the polynomial (3x³-7xy²+2xy-y), we need to multiply each term in the polynomial by the monomial and then add the results.
(4x³y³) × (3x³) = 12x⁶y³
(4x³y³) × (-7xy²) = -28x⁴y⁵
(4x³y³) × (2xy) = 8x⁴y⁴
(4x³y³) × (-y) = -4x³y⁴
⇒ 12x⁶y³ - 28x⁴y⁵ + 8x⁴y⁴ - 4x³y⁴
Therefore, the product of 4x³y³ and (3x³-7xy²+2xy-y) is:
12x⁶y³ - 28x⁴y⁵ + 8x⁴y⁴ - 4x³y⁴
Learn more about the polynomial here:
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[tex](\frac{3x^-3y^4}{5x^6y^7 })^-2[/tex]
9514 1404 393
Answer:
(25/9)x^18·y^6
Step-by-step explanation:
Maybe you want this simplified.
The appropriate rules of exponents are ...
(a^b)/(a^c) = a^(b-c)
(a^b)^c = a^(bc)
__
[tex]\left(\dfrac{3x^{-3}y^4}{5x^6y^7}\right)^{-2}=\left(\dfrac{3x^{-3-6}y^{4-7}}{5}\right)^{-2}=\dfrac{3^{-2}}{5^{-2}}\cdot x^{(-2)(-9)}y^{(-2)(-3)}\\\\=\boxed{\dfrac{25}{9}x^{18}y^{6}}[/tex]
Mai is making personal pizzas for a party she uses 10 ounces of cheese to make four pizzas at this rate how much cheese will she need to make 18 pizzas?
Answer: 45
Step-by-step explanation:
From the question, we are informed that Mai is making personal pizzas for a party and that she uses 10 ounces of cheese to make four pizzas. The number of ounce per pizza will be:
= 10/4 = 2.50 ounces per pizza
Therefore, the number of ounces of cheese that will be needed to make 18 pizzas will be:
= 2.50 × 18
= 45 ounces of cheese
simplify. help please
Answer:
64p^12 / 27
Step-by-step explanation:
(Help asap) If the base of a ladder is 5ft from a building how long must the ladder be to reach a window in the building that is 15ft above the ground?
A) 14.1 feet
B) 20.0 feet
C) 15.8 feet
D) 10.0 feet
Answer:
C. 15.8
Step-by-step explanation:
√a²+b² =c²
√15²+5²=15.8²
BTW are you trying to sneek out. lol
*plz mark brainliest*
What is the difference between a solid boundary line and a dashed boundary line when graphing an inequality?
The equation y = -4.9x^2 + 9.8x + 2 models the trajectory of a ball thrown in the air by a man, where y = the distance the ball is from the ground in meters and x = the elapsed time in seconds. What is the greatest distance the ball is from the ground?
a) 2.2 meters
b) 9.8 meters
c) 6.9 meters
d) 4.9 meters
The total area of the figure to the right is 300cm^2 use this fact to write an equation involving x then solve the equation to find the value of x
Answer: 300cm^2 = 30x^2
Step-by-step explanation: