A satellite orbiting Earth has a period of 21 hours when its average distance is 3.8 × 107 m. Find the orbital period of a satellite when the average distance is 5.1 × 107 m. Use the law stating that the square of the time of orbit varies directly with the average radius cubed.
Answer:
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Two of your friends go bowling. One friend rents a pair of bowling shoes for $3 and bowls 3 games. The other friend brings his own bowling shoes, bowls 4 games and buys a soda for $0.50. Both friends spend the same amount of money. Show how you can write and solve an equation to find the cost of one game.
Answer: The cost of each game is $2.50
Step-by-step explanation:
Let's find the equations for each friend:
Friend 1:
Pays $3 for the shoes, and plays 3 games, then if X is the cost of each game, Friend 1 pays a total of:
$3 + 3*X
Friend 2:
This friend buys a soda for $0.50, and he plays 4 games, remember that the cost of each game was X. then this friend pays:
$0.50 + 4*X
And we know that both friends pay the exact same amount, then we can write:
$3 + 3*X = $0.50 + 4*X
And solve this for X.
We need to isolate X, then we can move all the terms with X to the right, and all the terms without X to the left:
$3 - $0.50 = 4*X - 3*X
$2.50 = (4 - 3)*X = X
This means the cost of each game is $2.50
An animal reserve has 20,000 elk. The population is increasing at a rate of 8% per year. This can be modeled by the function P(t) = 20,000 (1.08)^t where t represents time in years and P(t) represents the elk population. What is the estimated population of elk in 6 years?
Answer:
The answer would be 31,737 elks.
Step-by-step explanation:
You would solve this by multiplying 1.08 by the power of 6 which equals 1.586874322944. You would then multiply this number by 20,000 which equals 31,737.4865 but since you can’t have .4865 of an elk the answer is just 31,737.
I hope this helps
I need to show my work for 6a = 36
Answer:
6a =36
a = 36/6
a = 6
that is the answer
pls mark brainiest
Step-by-step explanation:
Answer:
a=6^2
Step-by-step explanation:
So you would just show your anserw because 6 to the 2 power would actually be 6 times 6 and that would equal 36 if that makes sense :)
A park has the dimensions indicated in the diagram. Which expression represent the perimeter of the park?
Answer:
78m.
Step-by-step explanation:
Since we are not given any dimension we can use the following dimension.
Let the park be rectangular in nature
Length = 25m
Width = 14m
Perimeter = 2(L+W)
Perimeter = 2(25 + 14)
Perimeter = 2(39)
Perimeter = 78m
Hence the perimeter of the park is 78m.
Note that the dimension were assumed and any values can be used using similar calculation.
Consider the statement: 4−3+5=−6+8+4. This is a mathematically correct sentence.Is the sentence true or false? Explain how you know.
Answer:
This is true because 6 does infact equal 6
Step-by-step explanation:
First see if the solution is true by seeing if x = x
So solve both sides
4-3+5 = -6+8+4
1+5 = 2+4
6 = 6
C= 5/9(F-32)
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of
5
9
degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
if f(x) =3x+12 find f(-6)
1) Jayden runs 1/4 of a mile in 1/4 of an hour. How far will it take him to run 1hr.
2) Dylan walked 1/3 miles in 20 minutes How far will he goes in miles distance in 120 minutes?
Answer:
Question 1 : If you mean how many miles will he run in 1 hour then it is 1 Mile | Question 2 : 2 Miles
Step-by-step explanation:
Question 1 :
1/4 x 4 (because of the hour being split into fourths) = 1 Mile
Question 2 :
120 / 20 = 6, 6 x 1/3 = 6/3, simplified = 2
While shopping for a speaker, you see a discount.
What expressions can be used to find the total discount?
Select all the correct methods that apply (3).
0.3 * 42.00
3/10 * 42
0.03 * 42
3 * 4.2
30 * 42
they keep returning and saying show work again
Answer:
We conclude that:
[tex]20\times \:3\frac{1}{5}=64[/tex]
Step-by-step explanation:
Given the expression
[tex]20\:\times 3\frac{1}{5}[/tex]
convert mixed number to improper fraction: [tex]a\frac{b}{c}=\frac{a\times c+b}{c}[/tex]
i.e. [tex]3\frac{1}{5}=\frac{3\times 5+1}{5}=\frac{16}{5}[/tex]
so the expression becomes
[tex]20\:\times 3\frac{1}{5}\:=20\times \:\frac{16}{5}[/tex]
Factor the number: 20 = 5×4
[tex]=5\times \:4\times \frac{16}{5}[/tex]
Cross-cancel common factor: 5
[tex]=4\times \:16[/tex]
Multiply the numbers: 4×16 = 64
[tex]=64[/tex]
Therefore, we conclude that:
[tex]20\times \:3\frac{1}{5}=64[/tex]
Helpppppp please......................................
I hope this helps, have a good day
Step-by-step explanation:
4. - 5a>1-3
5a<2
a<2/5
5. - 2b<-6-27
2b>33
b>33/2
6. 1/2(c+1)>5
c+1>10
c>9
7. A. The club earns 10*p $
B. Difference 10*p - 75
C.
[tex]p \geqslant \frac{(75 + 50)}{10} [/tex]
[tex]p \geqslant \frac{125}{10} [/tex]
hi you are amazing don't let others ruin your day, You are beautiful in your own ways, God loves you put him in the lead and we will make it through the pandemic <3 I also have to put this or they will report me 2+2=
Answer:
2+2=4
Step-by-step explanation:
Thank you so much. <3
Be safe
To which subset of real numbers does the number one-fifth belong?
A. irrational numbers
B. rational numbers
C. whole numbers, integers, rational numbers
D. whole numbers, natural numbers, integers
Is it A? Thanks!
Help ASAP I will give u a lot of points
Write an inequality for the graph below.
Answer:
There are 2 lines, so this is a system of inequalities.
Find the equation of both lines:
The longer line using points (0,6) and (3,3)
Equation is y = -X+6, the inequality becomes y ≥-x+6
The equation for the shorter line:
Using points (5,1) and (6,2)
Equation is y=x-4, the inequality becomes y≤x-4
The system of inequalities is:
y ≥-x+6
y≤x-4
Step-by-step explanation:
What is 160 rounded to the nearest hundred
Answer:
♡ madeline here ♡
the answer is 200, stay safe!
✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧･ﾟ
Step-by-step explanation:
Find the perimeter of the figure shown above.
a. 40 cm
b. 60 cm
C. 52 cm
d. 75 cm
Mrs. Austin wraps 3 presents in 1/4 of an hour. At that rate, how many presents will be wrapped in 3 hours?
Answer:
36
Step-by-step explanation:
Answer:
36 presents
Step-by-step explanation:
there will be 12 presents wrapped per hour, since there are 3 presents in 1/4 hour. 12x3 is 36 :).
Ben has been driving nonstop along a highway for 5 hours: The minimum speed permitted on the highway is 45 kph and the maximum speed permitted is 70 kph.Solve for the range of the distances d that Ben could trave legally traveled. Give your answer as an inequality.
Answer:
[tex]225\leq d \leq 350[/tex]
Step-by-step explanation:
5 * 45 = 225
5 * 70 = 350
HELP ILL GIVE brainliest !!
Answer: To distinguish, when using part-to-part ratios, you have to put a 2 numbers that can be summed to the total. Part-to-whole relationships is put from half or a number that doesn’t go over the total can be described as a part-to-whole.
Step-by-step explanation:
Answer:
part to part is comparing one part of a group to another part of the group but part to whole is comparing one part of the group to the enire group
Step-by-step explanation:
A example when looking trail mix would be:
Part to part: comparing the number of peanuts to the number of raisins
Part to whole: comparing the number of peanuts to the entire bag of trail max
A cell phone plan costs $200 to start. Then there is a $50 charge each month.
Is there a proportional relationship between time and the cost of the cell phone plan? Explain how you know.
Answer:
I cant speak English well. I dont understand what it says. can u explain what do u want. I'll help u
How many solutions will this system have?
One
TWO
Infinitely Many
Solutions
No Solution
Answer:
one
Step-by-step explanation:
we look at the point the y axis and the x axis meets and we read the value of the cordinates to get the value required,,for this case only one value will be read,,at the point y meets x,,
if x + y = x y = 5 then x ^2 y + X Y ^ 2 equals
Answer:
25
Step-by-step explanation:
Note x^2y + xy^2 = xy(x+y)
We know xy = 5 and x+y = 5, so
5*5=25
determine weather the line is parallel perpendicular or neither
x = 6 and y = 4
Answer:
Players join in groups of between four and ten players, either online or through their local Wi-Fi connection, to perform tasks on a spaceship, sky headquarters or planet base. The problem? One player is an alien impostor out to murder everyone, and it's up to the rest of the group to determine who it is.
Step-by-step explanation:
Players join in groups of between four and ten players, either online or through their local Wi-Fi connection, to perform tasks on a spaceship, sky headquarters or planet base. The problem? One player is an alien impostor out to murder everyone, and it's up to the rest of the group to determine who it is.
Answer:neither
Step-by-step explanation:
What is the slope of the lines! HELP PLEASE!!! 20points
Answer:
1/5
Step-by-step explanation:
pick any points, for example (6, -1) and (11, 0)
slope is m= (y2-y1) / (x2-x1) = -1-0 / 6-11 = -1 / -5 = 1/5
help meeeee plzzzzzzzzzz i need this done
Answer:
1.) yes
2.) no
Step-by-step explanation:
1.) Yes
3x - 2y = 1
3(5) - 2(7) = 1
15 - 14 = 1
1 = 1
2.) No
2x + 8y = 26
2(-3) + 8(-4) = 26
-6 - 32 = 26
-38 ≠ 26
Answer:
1. yes 2. no
Step-by-step explanation:
1. 3(5)-2(7)=1 √
2. 2(-3)+8(-4)=-38 not 26 ×
Can anyone please help me with this??????????? please please help me with this
please please can someone help me with this
Answer: I agree with the other person, and are there any options for the other two parts?
When a coin was tossed, it came up heads 12 times and tails 8 times.
What percent of the time did it come up tails?
Answer: 40% of the time the coin came up tails.
Step-by-step explanation:
The coin is tossed 20 times. Of those 20 times, it came up tails 8 times (8/20). 8/20 = 0.4 = 40%
Answer:
It’s 1/2 (the probability of getting either heads or tails) to the power of 8 (for 8 tosses).
1/2*1/2*1/2*1/2*1/2*1/2*1/2*1/2=1/128=0.00390625 =40%
Step-by-step explanation:
The sum of the angles of a triangle is 180°, what are the two unknown angle measures
in the triangle below? (We know that one angle is 40°)
Answer:
28 and 112
Step-by-step explanation:
4n+n=5n. 5n+40=180 5n-40=140. 140/5= 28. 28* 4=112