Let x be the speed of Santa's sleigh in still air and y be the speed of the wind. We can use the formula d = rt, where d is the distance traveled, r is the speed at which the sleigh is traveling, and t is the time elapsed, to find x and y.
For the first case, where Santa is flying with the wind, the distance traveled is 35 miles, the time elapsed is 5 minutes, and the speed of the sleigh is x + y. Since there are 60 minutes in an hour, the time elapsed in hours is 5 minutes / 60 minutes/hour = 1/12 hours. So, we can write the equation 35 miles = (x + y) * (1/12 hours). Solving for x + y, we get x + y = 35 miles / (1/12 hours) = 420 miles/hour.
For the second case, where Santa is flying against the wind, the distance traveled is 35 miles, the time elapsed is 7 minutes, and the speed of the sleigh is x - y. Since there are 60 minutes in an hour, the time elapsed in hours is 7 minutes / 60 minutes/hour = 7/60 hours. So, we can write the equation 35 miles = (x - y) * (7/60 hours). Solving for x - y, we get x - y = 35 miles / (7/60 hours) = 300 miles/hour.
We can solve for x and y by equating the expressions for x + y and x - y and then solving for x and y. Since x + y = 420 miles/hour and x - y = 300 miles/hour, we can add these equations together to get 2x = 720 miles/hour. Dividing both sides of the equation by 2, we get x = 360 miles/hour. We can then substitute this value for x into the equation x + y = 420 miles/hour to solve for y, giving us y = 420 miles/hour
please give a detailed explanation, im genuinely trying in this class
Answer:
C) [tex]\frac{\sqrt{6} }{14}[/tex]
Step-by-step explanation:
We multiply the conjugate (7 √2) with the denominator and numerator:
[tex]\frac{\sqrt{3} }{7\sqrt{2} } *\frac{-7\sqrt{2}}{-7\sqrt{2}} \\\\\frac{\sqrt{6} }{14}[/tex]
I also just used my calculator and it gave me this
3+p=8 what the answer??
Answer: 5
Step-by-step explanation:
Please help me I can’t figure it out NO LINKS
LINKS=REPORT
Answer:
x = 3
y = 8
Step-by-step explanation:
ok we will substitute
y = x + 5
into the second equation
4x + y = 20
4x + (x + 5) = 20
5x + 5 = 20
5x = 15
x = 3
y = x + 5 = 3 + 5 = 8
Answer:
4(3)+y=20
Step-by-step explanation:
4*3=12
Y= 3+5
3+5=8
12+8=20
Kelly and Brandon have a combined age of 32.
They have an age difference of 6 (Kelly is older).
Write a system of equations to find out how old Kelly is
and how old Brandon is.
Answer:
Kelly is 19; Brandon is 13
Step-by-step explanation:
k + b = 32. Also: k = b + 6.
Substituting b + 6 for k in the first equation, we get b + 6 + b = 32, or
2b = 26. Then b must be 13, and k must be 13 + 6, or 19.
Kelly is 19; Brandon is 13.
Answer:
Brandon is 13, Kelly is 19.
Step-by-step explanation:
Let's set up our equations.
Kelly and Brandon have a combined age of 32.
K + B = 32
They have an age difference of 6. Kelly is older.
K - B = 6
Let's shift the equation around a little.
K - B = 6
Add B to both sides.
K = B + 6
Now let's plug K into our first equation.
K + B = 32
(B + 6) + B = 32
Combine like terms.
2B + 6 = 32
2B = 26
Divide both sides by 2.
B = 13
Now that we know Brandon is 13, we can find Kelly's age.
K + B = 32
K + 13 = 32
K = 19
Kelly is 19.
Hope this helps!
hii!! please help!!
Answer:
im not sure try use calculater
Step-by-step explanation:
What is the volume of a cylinder, in cubic centimeters, with a height of 8 centimeters
and a base diameter of 16 centimeters? Round to the nearest tenths place
Answer:
1608.5
Step-by-step explanation:
I just did a question that was like this
A rectangle and a triangle have the same area.
The dimensions of the rectangle are 3 cm and 10 cm. The base of the triangle is 6 cm.
What is the height of the triangle? How do you know?
Answer:
Height of the triangle = 10 cm
Step-by-step explanation:
Given:
Dimensions of rectangle = 3 cm , 10 cm
Base of triangle = 6 cm
Find:
Height of the triangle
Computation:
Given that area of rectangle is equal to area of triangle
So,
(l x b) = (1/2)(b)(h)
(3 x 10) = (1/2)(6)(h)
30 = 3(h)
h = 10
Height of the triangle = 10 cm
a)3/5x + 1/x+2
can be written as a single fraction in the form ax+b/5x(x+2) where a and b are integers.
Work out the value of a and the value of b.
a =
b=
b) Factorise 4(x + y) + (x + y)^2
The value of a and b are a=8 and b=6 respectively.
What is factorization?factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.
We are given the expression as
3/(5x) + 1/(x+2)
We have to multiply 3 by (x+2) and 1 by (5x)
3(x+2) = 3x+2 and 1(5x)= 5x
Now we have
3x+6/(5x)(x+2)
5x/(5x)(x+2)
Now adding the numerators gives us
8x+6/(5x)(x+2)
Therefore a=8 and b=6
Learn more about factorization here:
https://brainly.com/question/10454590
#SPJ2
i cant solve this help –8x + 15 < 71
Answer:
x > -7
Step-by-step explanation:
Isolate the variable, x. Treat the < sign like an equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& roots)
Multiplication
Division
Addition
Subtraction
First, subtract 15 from both sides:
-8x + 15 (-15) < 71 (-15)
-8x < 71 - 15
-8x < 56
Next, divide -8 from both sides of the equation. Note that when you divide by a negative number, you must flip the sign:
(-8x)/-8 < (56)/-8
x < (56)/-8
x > -7
x > -7 is your answer.
~
Answer:
Any number greater than but excluding -7.
Step-by-step explanation:
-8x + 15 < 71
-8x < 71 - 15
-8x < 56
56 divided by -8 = -7
So, that means anything greater than -7 would result in a lower number than 71.
Jeffrey is making a passcode for his new phone. He decides to create a 6
digit passcode, using only numbers. How many different possible
combinations does he have?
please help will mark brainlyist
hello please help thanks
Evaporation Is Your Answer
The first step of the water cycle is evaporation. About 85% of the water vapor in the air comes from water that evaporated from the oceans.
What are the solutions to 4x^{2}-3x-2=0
Answer:
x = 1.175
x = -0.425
Step-by-step explanation:
Use quadratic formula (see picture)
a = 4
b = -3
c = -2
x = 1.175
x = -0.425
OR x = [tex]\frac{3 +/- \sqrt{41} }{8}[/tex]
-----------------------------
using factoring
4x^2-3x-2=0
simplify:
3x + 42 - 34
Answer:
The answer is 3x + 8.
Step-by-step explanation:
1) Collect like terms.
[tex]3x + (42 - 34)[/tex]
2) Simplify.
[tex]3x + 8[/tex]
Hence, the answer is 3x + 8.
1. Order from smallest to largest:
Number of pennies in a stack that is 1 ft high
Number of books in a stack that is 1 ft high
Number of dollar bills in a stack that is 1 ft high
Number of slices of bread in a stack that is 1 ft high
Answer:
book, bread, penny, bills
Step-by-step explanation:
It takes the least amount of books to reach 1ft, then bread, penny, lastly bills
Using the same spinner and die from the problem above, what is the probability of not spinning a blue, and then not rolling a five?
What is 2x + 10 = 2y + 5?
Answer:
x=y+-5/2
Step-by-step explanation:
Let's solve for x.
2x+10=2y+5
Step 1: Add -10 to both sides.
2x+10+−10=2y+5+−10
2x=2y−5
Step 2: Divide both sides by 2.
2x
2
=
2y−5
2
x=y+
−5
2
Miguel will spend at most $30 on gifts. So far, he has spent $12. What are the possible additional amounts he will spend?
Answer:
everything that adds up to 18
Step-by-step explanation:
Answer:
I believe the answer is $18. He will spend at most $30 and he has already spent $12. The possible additional amounts he can spend is $18 since:
30 - 12 = 18
Step-by-step explanation:
(Maybe I got confused with the question, so im not confident that its correct.
I hope it helps!)
I just need the inequality/equation please!
Stephanie is saving money to buy a computer next year. So far she has saved $200. Write an inequality to show how much she needs to save each month for the next year so she has at least $1200 to spend on the computer, then solve the inequality.
Let x represent the amount that she needs to save each month for the next year.
Stephanie is saving money to buy a new computer. So far she has saved $200. This means that the total amount that she would have saved in y months is
200 + xy
Since there are 12 months in a year,
an inequality to show how much she needs to save each month for the next year so she has at least $1200 to spend on the computer is
200 + 12x ≥ 1200
12x ≥ 1200 - 200
12x ≥ 1000
x ≥ 1000/12
x ≥ 83.33
Hope with a question
Answer:
(3,7)
Step-by-step explanation:
A restaurant surveys customers with the following results: 8 pizzas, 12 hamburgers, 14 pastas, and 6 steaks. What is the experimental probability of pizza or steak?P(pizza or steak)
Answer:
To find the experimental probability you have to find the number of times the event occurred and the number of times the activity is preformed then divide the two numbers
Step-by-step explanation:
I’m not quite sure on the answer I believe it’s 1.3
have a great day!
brainliestif correct I need 4 more to rank up thanks!
Please help.
Is algebra.
Answer:
say thank you please. the answer for question 1 is D and question 2 is C
what is the volume of the sphere is the radius is 1m
Answer:
If u consider Pi as 3.14 , the answer would be 4.18 .
Step-by-step explanation:
Hope it helps u , good luck ^.^
Find the area, use 3.14 for pi
Answer:
113.04
Step-by-step explanation:
The formula for the area of a circle is A=(pie)r²
So the equation is 3.14 x 6² = 113.04
Find the value of x in the following triangle
Answer:
x = 124°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , then
x = 180° - (32 + 24)° = 180° - 56° = 124°
Plz help me with this..........
Answer: 18 also you are wellcome
18.
The median will be the average of the two middle numbers.
helpp ill give brainlist
Step-by-step explanation:
[tex]6 {x}^{2} - 5x + 2 - 2 {x}^{4} + 3 {x}^{2} - 2= \\ = - 2 {x}^{4} + 9 {x}^{2} - 5x [/tex]
Answer:
c. g-f(x) -2x⁴+9x²-5x
Step-by-step explanation:
that is the best answer
HELP HELP ASAP ASAP WILL MARK BRAINLIEST
PLEASE EASY POINTS
Answer:
Step-by-step explanation:
you need more information to be able to answer the question. Is there any other information they gave you?
i think you are right maybe but this is helpful sorry!
let f(x) = x-4 and g(x) = (x-4)^3
find the sum of the area enclosed by the graphs
Of F and g between x=3 and x=5
Ryan says that a rectangle is a square because it has 4 right angles. Addy says that a rhombus is a square because it has 4 equal sides. Part A Who is correct? A. Only Addy B. Only Ryan C. Both Ryan and Addy D. Neither Ryan nor Addy Part B How are rectangles and squares related? Use the drop-down menus to complete the explanation. All Choose... are Choose... , but only Choose... with 4 equal sides are Choose...
Answer:
D. Neither Ryan nor Addy
Step-by-step explanation:
Square:
A square is a quadrilateral that has equal sides and all angles equal to 90 degrees.
Rectangle:
A rectangles is a quadrilateral that has equal or unequal sides and all angles equal to 90 degrees. All rectangles are not squares.
Rhombus:
A rhombus is a quadrilateral that has equal sides and all angles may or may not be equal to 90 degrees. All squares are rhombus. But all rhombus are not squares.
As both Ryan and Addy have missed out one property of square therefore both of them are incorrect.