1) In 1910, Halley's Comet was 21.37 million kilometers close to Earth.
2) Given that Halley's Comet orbits the sun at about 75 years, and that the last time it passed near the Earth was in 1986, the years in which it will happen again will be 2061, 2136 and 2211.
3) Earth is 794 times larger in diameter than Halley's Comet.
Since in 1910, Halley's Comet traveled close to Earth about 1/7 of the distance from the Earth to the Sun, and Earth's distance from the Sun is 149.6 million kilometers, to determine 1) how close was Halley's Comet to Earth in 1910, 2) estimate the next 3 years when Halley's Comet will appear, and 3) if the core of Halley's Comet is oblong in shape, with its longest dimension 16 km long, and Earth's diameter is about 12,700 km, how many times larger in diameter is Earth than Halley's Comet, the following calculations must be performed:
1)
149.6 / 7 = X 21.37 = X
2)
1986 + 75 = 2061 2061 + 75 = 2136 2136 + 75 = 2211
3)
12700/16 = X 793.75 = XLearn more about maths in https://brainly.com/question/26088658
The relationship between Halley's comet and the earth is an illustration of proportions
The given parameters are:
Earth's distance from the sun = 149.6 million kilometersHalley's comet traveled close to 1/7 of the distance.(a) The distance
The distance which Halley's comet get to is calculated using:
[tex]d = \frac 17 \times 149.6\ million\ km[/tex]
So, we have:
[tex]d = 21.37\ million\ km[/tex]
Hence, Halley's comet was 21.37 million kilometers close to the earth in 1910.
(b) The next three years it will appear
From the complete question, the comet is visible every 74 years.
It appears in 1910.
So, the next three years are:
[tex]Year\ 1 = 1910 + 74 = 1984[/tex]
[tex]Year\ 2 = 1984 + 74 = 2058[/tex]
[tex]Year\ 3 = 2058 + 74 = 2132[/tex]
Hence, the comet will appear in 1984, 2058 and 2132.
(c) The number of times the earth is larger
The diameter of the earth is given as: 12700 km, while the longest dimension of the oblong shaped comet is 16 km.
So, the number of times (n) which the earth is greater than the comet is:
[tex]n = \frac{12700}{16}[/tex]
[tex]n = 794[/tex] --- approximated
Hence, the diameter of the earth is 794 times larger than Halley's Comet.
Read more about proportion at:
https://brainly.com/question/1781657
What is an equation of the line that passes through the points (0, 3) and (5, -3)?
Answer:
y = -6/5x + 3
Step-by-step explanation:
y2 - y1 / x2 - x1
-3 - 3/ 5 - 0
= -6/5
To find the y-intercept, you need to plug the coordinates into the equation,
y = -6/5x + b
3 = -6/5(0) + b
3 = 0 + b
b = 3
The equation is y = -6/5x + 3
Last week, Danny started washing cars to earn some money to pay for a trip to Disney world. He washed four cars on Day 1 and six cars every day after that. Write the function that models the total number of cars, c(d), Danny has washed after d days?
Answer:
c(d) = 4 + 6(d - 1)
Step-by-step explanation:
Let
d = number of days Danny washed cars
Day 1 = 4 cars
Other days after day 1 = 6 cars
Function that models the total number of cars, c(d), Danny has washed after d days?
c(d) = 4 + 6(d - 1)
I dont know if i did this right i wanted to know if someone could check for me
Answer:
I think 5 is wrong but 1 and 4 are right
Please do this equation-Solve 4w+6=38
Answer:
w = 8
Step-by-step explanation:
4w+6=38
subtract 6 from each side of the equation:
4w = 32
divide both sides by 4:
w = 8
Answer:
4w+6=38
4w=38-6
4w=32
w=32/4
w=8
HELPPPPP WILL MARK BRAINLIEST THIS IS DUE AT 1:50!!!!
Lillie can pack 12 boxes of pasta in an hour and a half find the unit rate
12 boxes of pasta packed in an hour and half then boxes packed in 1 hour will be 12/1.5 = 8
thus 8 boxes packed in an hour . this is called the unit rate, so the answer will be 8
Write an equivalent ratio for 1:2
Answer:
2:4
Step-by-step explanation:
Answer:
3:6
4:8
5:10
6:12
7:14
8:16
etc...
What is the answer to this one, answer it and no wrong answers.
Answer:
A
Step-by-step explanation:
Brainliest if answer good
Can someone please help me with math.
Answer:
4. (2,1) 5. (-2,1) 6. (8, 80)
Step-by-step explanation:
4.2x + 4y - 2x + 2y = 8 - 2
6y = 6
y = 1
2x + 4 = 8
2x = 4
x = 2
(2,1)
5.3x + 4y + 6x - 4y = -2 - 14
8x = -16
x = -2
-6 + 4y = -2
4y = 4
y = 1
(-2,1)
6.multiply first equation by 4
4y = 40x
4y + 40x + 6y = 40x + 800
10y = 800
y = 80
80 = 10x
x = 8
(8, 80)
Helppp plz I will mark brainliestttt
Answer:
19
Step-by-step explanation:
Resuelva y responda a la pregunta: Andrés es mayor que su hermano Alex. Dentro de 3 años, la edad de Alex será la edad que tiene ahora Andrés y, dentro 9 años, la edad de Andrés será el doble de la edad que Alex tiene ahora. ¿Qué edades tienen los hermanos?
Answer:
Andrés tiene 15 años y Alex tiene 12 años.
Step-by-step explanation:
Como el enunciado dice que dentro de 3 años, la edad de Alex será la edad que tiene ahora Andrés puedes escribir una ecuación que indique que la edad de Andrés es igual a la edad de Alex más 3:
x=y+3, donde:
x es la edad de Andrés
y es la edad de Alex
Además, como se indica que dentro 9 años, la edad de Andrés será el doble de la edad que Alex tiene ahora puedes escribir una ecuación que indique que la edad de Andrés más 9 es igual a dos veces la edad de Alex:
x+9=2y
Ahora puedes reemplazar x=y+3 en x+9=2y y despejar y:
y+3+9=2y
12=2y-y
y=12
Finalmente, puedes reemplazar el valor de y en x=y+3 para encontrar el valor de x:
x=y+3
x=12+3
x=15
De acuerdo a esto, la respuesta es que Andrés tiene 15 años y Alex tiene 12 años.
If x=12 and y=6x , what is the value of 8x2y ?
Answer:
13824 is the answer
Step-by-step explanation:
8*12*2*6*12
a triangle has a 40° angle, a 120° angle and a side 2.5 centimeters in length. which of the following statements are true about the triangle?
Answer:
C
Step-by-step explanation:
A triangle is 180 degrees so 120+40 is 160
180-160=20
Help me with this question please!
Answer:
24, 21, 15, 12
Step-by-step explanation:
Since x is given in the table, you can find the y-values by plugging each of the x-value into the equation replacing x.
[tex]y=30-3(2)=30-6=24[/tex] [tex](2, 24)[/tex]
[tex]y=30-3(3)=30-9=21[/tex] [tex](3, 21)[/tex]
[tex]y=30-3(5)=30-15=15[/tex] [tex](5, 15)[/tex]
[tex]y=30-3(6)=30-18=12[/tex] [tex](6, 12)[/tex]
9514 1404 393
Answer:
see attached
Step-by-step explanation:
It is convenient to let a spreadsheet or graphing calculator do the repetitive arithmetic.
__
If you want to do it by hand, put the x-value in the equation and do the arithmetic. For example, ...
y = 30-3(2) = 30 -6 = 24 . . . for x=2
should I be worried about my upcoming exams?
Answer:
i don't know but I am I have them Monday I'm pretty sure I will fail in math but you'll be good
Step-by-step explanation:
brainlyest please I'm trying to get my thing up
Last year at a certain high school, there were 110 boys on
the honor roll and 75 girls on the honor roll. This year, the
number of boys on the honor roll decreased by 20% and the
number of girls on the honor roll decreased by 4%. By what
percentage did the total number of students on the honor
roll decrease? Round your answer to the nearest tenth (if
necessary).
Answer:
13.5 if you round it
Step-by-step explanation:
Find the new amount of people who got the honor role and subtract that from the total. 185-160=25....which is 13.5% of 1185
-3x=6.3
what is x value
Answer:
-2.1 so you divide 6.3 and -3 and then boom that your answer
Answer:
[tex]x=-2.1[/tex]
Step-by-step explanation:
1. Solve the equation using division
[tex]\frac{-3}{-3} x=\frac{6.3}{-3}[/tex]
2. Solve equation
[tex]x=-2.1[/tex]
3. Check answer
[tex]-3(-2.1)=6.3\\6.3=6.3[/tex]
At a garage sale, Samuel purchased used books and DVDs. He bought a total of 18 items and spent $11. Each book cost $0.50 and each DVD cost $0.75. How many books did Samuel purchase?
Answer: 10 books
Step-by-step explanation:
Let the number of books bought be represented by x.
Let the number of dvds bought be represented by y.
The information given in the question can be formed into an equation as:
x + y = 18 ........ i
0.50x + 0.75y = 11 ....... ii
Multiply equation i by 0.75
Multiply equation ii by 1
0.75x + 0.75y = 13.50 ........ iii
0.50x + 0.75y = 11 ........ iv
Subtract iv from iii
0.25x = 2.50
x = 2.50/0.25
x = 10
Samuel bought 10 books
Is –2,823,680 − 8,957,599 positive or negative?
Answer:
negative
Step-by-step explanation: it has negative signs
Estelle tried to evaluate the expression 27 - (8 - 3) x 4. Here is her work:
27 - (8 - 3) x 4
= 27 - 5 x4
Step 1
= 22 x 4
Step 2
= 88
Step 3
Is Estelle's work correct?
No, Estelle made a mistake in Step 1. Estelle should have multiplied instead of
subtracting. The order of operations says to multiply before you subtract.
No, Estelle made a mistake in Step 2. Estelle should have multiplied before
she subtracted. The order of operations says to multiply before you subtract.
Yes, Estelle's work is correct.
Answer:
No, Estelle made a mistake in step 2
Step-by-step explanation:
3). Find the area of a circle with a radius of
3 ft.
Answer:
Step-by-step explanation:
1.5
Answer:
A=πr2=π·32≈28.27433ft²
Step-by-step explanation:
3 liters of milk divided by 20
Answer:
0.15 Per person/number!
Step-by-step explanation:
3liters divided by 20
Can someone help me please
22. A carton of milk holds 10 cups. A recite
for strawberry milkshakes requires 3/4 of a cup
of milk. How many recipes could you make
with the carton of milk?
Answer:
7
Step-by-step explanation:
Just simply divide 10 with 3/4
[tex]10*\frac{3}{4}\\\\=\frac{15}{2}[/tex]
Now you can't make 7.5 recipes and also You can't make 8 recipes either [if you round up the value].
Now round down the value
the answer is 7
What is 58 x 564 please tell me
Answer:
that is the answer 32,712
Step-by-step explanation:
your welcome.
sorry I times it by 54 instead of 58
select the statement that does not correctly use probability to describe an event
Answer:
a
Step-by-step explanation:
Probabilty usally ends in a %
if probability of a coin landing on heads is 50% and if and
a doesnt describe probability which is why a should be the anwser
though d says 120% the person running the race has full convidence describing themselves that they will win
a doesnt describe any probability it just says 1!! but thats why a is the anwser because its inncorrect!
Help me please!!! I’ll mark brainliest!!
Answer:
all the answers are c on that test my teacher did that same exact test
Step-by-step explanation:
mark brainliest!
pls help asap! ill give brainliest:))
Answer:
the answer should be 38.75
A bill of $424 was paid with $5 bills and $2 bills. A total of 128 bills were used. How
many of them were fives?
Answer: 56
Step-by-step explanation:
Let the number of $5 be x
Let the number of $2 be y.
Based on the information given, we can form an equation as:
x + y = 128 ........ i
5x + 2y = 424 ....... ii
Multiply equation i by 2
Multiply equation ii by 1
2x + 2y = 256 ...... iii
5x + 2y = 424 ....... iv
Subtract iii from iv
3x = 168
x = 168/3
x = 56.
Therefore, there were 56 $5 bills.