Answer:
0.0017 years
Step-by-step explanation:
Distance of North Star from Earth = 460 light years
A light year is the distance traveled by light in one year.
As per given statement:
Distance traveled by light in one second = 18600 miles
Distance traveled by light in one year ([tex]60 \times 60 \times 24\times 365[/tex]) = 18600 [tex]\times[/tex] 31536000 miles = 14506560000 = 14.51 [tex]\times[/tex] [tex]10^9[/tex] miles
We know that:
1 billion = [tex]10^9[/tex]
Therefore, 14.51 [tex]\times[/tex] [tex]10^9[/tex] miles = 14.51 billion miles
Also, it is given that speed of rocket = 1 billion miles per hour
Formula to represent relationship between Speed, Distance and Time is given as:
[tex]Distance = Speed \times Time[/tex]
[tex]Time = \dfrac{Distance}{Speed}[/tex]
[tex]Time =\dfrac{14.51\ billion\ miles}{1\ billion\ per\ hour}\\\Rightarrow Time = 14.51\ hours[/tex]
OR
0.0017 years
A store sells mugs. Each mug costs the same amount. During a sale, the store reduces the price of each mug by $1.75. Wen spends $28.20 on 5 mugs at the sale price. What was the price of 1 mug before the sale?
Answer:
$7.39Step-by-step explanation:
Let the initial price be x
Then the reduced price is
x - 1.75If 5 mugs cost $28.20, we have equation:
(x - 1.75)*5 = 28.20x - 1.75 = 28.20/5x - 1.75 = 5.64x = 1.75 + 5.64x = 7.39Initial price for 1 mug was $7.39
Answer:
so the price for 1 mug was $7.39
Step-by-step explanation:
initial price will be P
Then the lower price is
x - 1.75
If 5 mugs cost $28.20 then we have to write an equation in order to find the price for 1 mug.
(P - 1.75)*5 = 28.20
P - 1.75 = 28.20/5
P - 1.75 = 5.64
P = 1.75 + 5.64
P = 7.39
Initial price for 1 mug was $7.39
Hope that helps... :)
What is 6/7 x 8-/9 hi ok pls help
Answer:
48/63
Step-by-step explanation:
16/21 in fraction form
Answer:
-16/21
Step-by-step explanation:
Multiply the numerators together then the denominators. (-48/63)
Reduce Divide each side by 3 (-16/21)
Anna and Elsa are helping set up for the Christmas celebration at Magic Kingdom. They have to install 7 million lights for the annual display. It takes Elsa 14 days to set up the 7 million lights by herself and it takes Anna 11 days to set up the 7 million lights by herself. How long will it take them to do it together?
Answer:
If they work together, they will take 6.16 days.
Step-by-step explanation:
Elsa takes 14 days to complete the work.
So, 1 day work by Elsa is [tex]\frac{1}{14}[/tex]
Anna takes 11 days to complete the work.
So, 1 day work by Anna is [tex]\frac{1}{11}[/tex].
So, Let if they work together, it would take x number of days.
So, we can set up equation as
[tex]\frac{1}{14} +\frac{1}{11}=\frac{1}{x}[/tex]
Find LCD, which is 154.
[tex]\frac{11}{154} +\frac{14}{154} =\frac{1}{x}[/tex]
Simplify
[tex]\frac{25}{154} =\frac{1}{x}[/tex]
Cross multiply,
25x=154
Divide both sides by 25
x=6.16 days
If they work together, they will take 6.16 days.
Write the translation notation for 2 units left and 3 units up
Answer:
(-2,3)
Step-by-step explanation:
The left and down is negative and right and up is positive
What value of x is in the solution set of 2x. 3 > 11 - 5x?
a. -3
b. 0
c. 2
d. 4
Answer:
i think option d
Answer:
The answer is D : 4.
Step-by-step explanation:
=2x-3>11-5x
=2x-3+5x>11
=7x-3>11
=7x>11+3
=7x>14
=7x/7>14/7
=x>2
By simplifying the problem, you can see that "x" must be greater than 2. Therefore, eliminating all other possible answers that are shown, but 4.
I answered the same questions with the same exact wording and explanation so please don't report any answers that are the same as this one, they are all mine and written by me.
PLEASE HELP DON’T ANSWER IF YOU DON’T KNOW!! Mr. Sanchez drives 120 miles in 3 hours. At the same rate, how far will he drive
in 5 hours?
Answer:
200 miles
Step-by-step explanation:
First have to find how many miles he drives in 1 hour. So, we divide 120 miles by 3 hours, since we assume that he managed to drive an equal amount in each hour.
120/3=40
This shows that Mr. Sanchez drove at a rate of 40 mph.
But, this isn't the answer. 40 miles is the distance for one hour of driving. To find the distance for 5 hours, we have to multiply the distance by 5 as well.
40 times 5=200
O 200 miles
Explination~first you start by dividing 120 by 3 to find out how many miles he drives in one hour120 ÷ 3
=
40
Then you would time 40 by 5 to get how many miles he can drive in 5 hours40 × 5
=
200
------------------------------------------------------------------------Hope I helped!!
The four members of the "Fantastic Four" made 40 cookies each for the bake sale. They know that 35% of their cookies are chocolate chip.
How many chocolate chip cookies were made?
Answer:
54% I think and if im wrong im so sorry.
Step-by-step explanation:
Evaluate 50 + 5/13p when p= -26
Answer: it’s 40
hope this helps :)
Step-by-step explanation:
Just substitute the variable with the number and use pemdas.
First you have to multiply 5/13 by -26, then add 50 to what you get.
Find the exact length of the third side.
68
51
Answer:
The value of c is:
c=85 unitsStep-by-step explanation:
Given the right-angled triangle
a=68b=51And we have to determine the value of the hypotenuse 'c'.
c=?
Pythagorean Theorem:
For a right-angled triangle with sides a and b the hypotenuse c
[tex]c=\sqrt{a^2+b^2}[/tex]
[tex]a=68[/tex]
[tex]b=51[/tex]
[tex]c=\sqrt{68^2+51^2}[/tex]
[tex]c=85[/tex] units
Thus, the value of c is:
c=85 units
ALOT OF POINTS NEED HELP
Answer:
C
Step-by-step explanation:
Answer: C.
Step-by-step explanation: G=Q, T=M, A=E
The cost to rent a car is $25 plus an additional $0.15 for each mile the car is driven. How many miles was a car driven if it had a bill of $71.80? 479 645 454 312
Answer:
The answer is 312.
Step-by-step explanation:
Because you would start with 71.80 minus 25 to get 46.8 then do 46.8 divided by 0.15 to get 312.
Answer:
312
Step-by-step explanation:
One-third cup of black beans provides 20% of the potassium you need daily. You must get the remaining 1,360 milligrams from other sources.
How many milligrams of potassium should you consume daily?
____ milligrams
Hard math plz help!!!!!!!! PLZ NEED IT QUICK
Answer:
Hi bub. Thanks for the points lol.
:D
Step-by-step explanation:
Answer:
chicken
Step-by-step explanation:
lol
Mark uses 19 gallons of gas while traveling 399
miles at a constant rate in his car. How many
miles is Mark able to travel on 9 gallons of gas?
Answer:
189
Step-by-step explanation:
If mark uses 19 gallons to travel 399 miles, that means he was able to travel 21 miles per gallon.
We get this by taking 399 divided by 19.
So if mark travels on 9 gallons of gas and goes 21 miles per gallon, he will have traveled 189 miles.
We get this by taking 21 times 9
A hollow shaft has an outside diameter of 6.0cm and an inside
diameter of 4.0cm. The cross-sectional area of the shaft is:
Select one:
O a. 1571 mm sa
O b. 6283 mm sa
O c. 628 mm sa
O d. 1257 mm sa
Next page
Jump to...
.
The cross-sectional area of the shaft is 314 mm²
The outside diameter (d₂) = 6 cm = 60 mm
The inside diameter (d₁) = 4 cm = 40 mm
The cross sectional area of the shaft (A) is given by:
A = π(d₂ - d₁)²/4
Substituting values:
A = π(60 - 40)²/4
Simplifying the equation:
A = 314 mm²
The cross-sectional area of the shaft is 314 mm²
Find out more at: https://brainly.com/question/23745017
Please help me I don’t understand
Answer: I don't understand either :{
But I do know that you have to look at the little letters to answer the questions about the triangle. Like when it asks, "What are the possible values for x?" you have to find x then say what the possible values for x are. Hope that helps a little bit
Captain Marvel — is sighted at an altitude of 300 feet and is descending
(down) at a rate of 10 feet
per
second.
Answer:
She will touch ground in 30 seconds
Step-by-step explanation:
Answer:
So I Don't Know What The Question Is? But Captain Marvel Will Hit The Ground In 30 Seconds
Step-by-step explanation:
300 Divided By 10 Is 30 :)
Is the relation a function? If it is a function, state the domain and range. If not, circle or
highlight the part that causes it to not be a function.
Answer:
Please check the explanation.
Step-by-step explanation:
Writing this relation in set notation using curly braces:
{(1, 3), (2, 5), (3, -1), (4, 0), (5, 6)}
The relation clearly indicates that each input is related to exactly one output. In other words, there is no repetition of 'x' values.
Hence, this relation is a function.
We know that the domain is the set of all x values.
Thus, the domain is: {1, 2, 3, 4, 5}
We know that the domain is the set of all y values.
Thus, the range is: {-1, 0, 3, 5, 6}
Select the correct answer.
Over which interval of the domain is function m negative?
Answer:
The interval of the domain over which the function m is negative
will be: (6, ∞)
Step-by-step explanation:
We have to determine the interval of the domain over which the function m is negative.
The x-intercept of the graph is:
at y = 0, x = 6
(0, 6) is the x-intercept.
From the graph, it is clear that at the x-intercept x=6, the graph tends to continue downward towards infinity i.e. (6, ∞) where the graph would be negative as it is heading downwards.
Thus, the interval of the domain over which the function m is negative will be: (6, ∞)
Answer: (6,00)
Step-by-step explanation:
Write the word sentence as an equation. Then solve. A number divided by -9 is -16.
Answer:
X÷-9=-16 x=144
Marcus has a summer job where he makes $45 per day. Yesterday his boss told him he was getting a raise to $63 per day because he was such a hard worker. What is the percent increase in Marcus' salary? Write a number answer without a dollar sign.
Answer:
40% increase
Step-by-step explanation:
63/45 = 1.4 = 140%
63 is 140% of 45 meaning it is a 40% increase
The percent increase in Marcus' salary is 40% as per percentage calculation.
What is percentage calculation?"Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. The formula used to calculate percentage is: (value/total value)×100%."
Given, Marcus has a current job that pays $45 per day.
From yesterday, he is getting $63 per day.
Therefore, the increase in daily salary = $(63-45) = $18.
Therefore, the percentage increase of his daily salary = (18/45) × 100 = 40%.
Learn more about percentage calculation here: https://brainly.com/question/92258
#SPJ2
Does anyone know the answer to this ? I need help!
.Write the value of the number in parenthesis (6) 78.006
Answer:
Thousandths
Step-by-step explanation:
7: tens
8: ones
0: tenths
0: hundredths
6: thousandths
As an estimation we are told 5 miles is 8 kilometres. Convert 65 miles to km
Answer:
104.607 Kilometers
Step-by-step explanation:
PLEASE HELP!!!
Segments DE, EF, and DF are midsegments of AABC. Find the length of the indicated
segment.
Answer:
6
Step-by-step explanation:
You know DF = 6 and EB = 6 too. Since E is the mid-point of AEB, EB and AB are equal.
DF = EB
= AB
= 6
will mark brainliest
ONE question with picture included^^^^
Answer:
The third option is wrong becuase x isn't a defined variable, and they specified that the book must be at least 250 pages, which means that it can't be less.
ANSWER QUICKKKKK ILL GIVE U BRAINLEST IF U ALSO SHOW STEPS 20 points
Find the equation of the line that is:
Parallel to 2x – 4y = 8 and has the same y-intercept as 5x + y -10 = 0
Answer:
y = 1/2 x + 10
Step-by-step explanation:
The equation should be in format
y = mx + b with m being the slope and b being the y-intercept.
The y-intercept of 5x + y - 10 = 0 is the same as the y-intercept of the unknown equation. The y-intercept of 5x + y - 10 = 0 is 10, so now our unknown equation is y = mx + 10.
Two parallel lines have the same slope but different y-intercepts, so we just need the slope of 2x - 4y = 8, which in the y = mx + b form, is y = 1/2 x - 2. Now, we just copy the slope of y = x/2 - 2 to the slope of the unknown equation, which results in y = 1/2 x + 10.
In conclusion, the unknown equation that is parallel to 2x - 4y = 8 and shares the same y-intercept as 5x + y - 10 = 0 is y = 1/2 x + 10
2 The point C ( − 3 , − 1 ) C(−3, −1) is rotated 18 0 ∘ 180 ∘ clockwise about the origin. What are the coordinates of the resulting point, C ′ C ′ ? A (3, 1)(3, 1) B (−3, 1)(−3, 1) C (3, −1)(3, −1) D (−1, −3)(−1, −3)
Answer:
A (3, 1)Step-by-step explanation:
If we have the coordinate (x,y), if this coordinate is rotated by 180 degrees clockwise, the resulting coordinate will be expressed as (-x, -y) i.e the original coordinate axis are both negated.
Given the coordinate C(-3, -1), if this coordinate is rotated clockwise about the origin, the coordinate of the resulting point will be at C' (-(-3), -(-1))
C' (-(-3), -(-1))
C' = (3, 1)
Hence option A is correct
Solve the equation by finding the common multiple.
three fourths minus two sixths plus seven twenty fourths equals blank
Help!
1253/9997 or 0.12534
My explanation~3/4 - 2/6 + 7/24
convert into decimals3/4 = 0.75
2/6 = 0.333
7/24 = 0.29166
then use PEMDAS add first0.333 + 0.29166 =
0.62466
then subtract0.75 - 0.62466 =
0.12534
then convert back or leave as is1253/9997
what you would get when converting back to a fractionhope i helped :P---------------------------------------------------------------Answer: 11/6 that is it!
Pls. Help me!!!!!!!!!!!!!!!!!!
Answer:
d i think
Step-by-step explanation:
Answer: C
Step-by-step explanation:
our points are
(0, 64) and (17, 30)
slope = 30-64/17-0 = -34/17 = -2
y=-2x+64 aka C
