An airplane travels 1800 miles in 3 hours flying with the wind. On the return trip, flying
against the wind, it takes 4 hours to travel 20000 miles. Find the rate of the wind and the rate of the plane in still air.
Andrew and Michael are 15 miles apart. If they walk towards each other, they meet in 3
hours. If they both walk in the same direction, Michael overtakes, Andrew in 8 hours.
How fast does each boy walk?
Answers
Answer:
75 miles miles an hour. (First one)
5 mph for the second one.
Step by Step:
1800%2F3 = u + v (1) is the equation for the flight with the wind.
(Here "u" is the airspeed of the airplane with NO wind,
"v" is the wind speed)
1800%2F4 = u - v (2) is the equation for the flight against the wind.
Simplify equations (1) and (2) and write them as a system:
u + v = 600, (1')
u - v = 450. (2')
Now add the two equations (1') and (2'). You will get
2u = 1050 ---> u = 1050%2F2 = 525 miles per hour.
Having this, you can easily determine "v" from (1'):
v = 600 - 525 = 75 miles per hour.
-----------------------------
Second one will be 15 divided by 3 = 5mph
Answer:
look at the picuture
Step-by-step explanation:
Related Questions
Why are the divisibility rules for 2, 3, and 5 very useful for determining prime and composite numbers
1. They are the smallest odd numbers
2. They add up to 10
3. They are prime numbers with nice divisibility rules
4. They multiply to 30
5. They can be multiplied together to make every number
Answers
Answer:
option 3.
Step-by-step explanation:
alright, ima explain each option.
1. "smallest odd numbers" 2 is an even number. that's out of the playing field.
2. "add up to 10" sure, they do add up to 10, but finding prime and composite numbers are all about division and multiplication.
3. this is true. 2, 3, and 5 are all prime numbers, and they have the nice divisibility rules. [ for 2, it has to be even, for 5, it has to end in 0 or 5, and 3 has to have the sum of its digits being divisible by 3. ]
4. they do multiply to 30, but this does not help break the composite numbers down.
5. we cannot make every number with just these. we can not multiply any other whole number to get 7 for per example, because it's a prime number.
sub to gauthmath sub reddit if ya can !
A person standing on a moving walkway travels 75 feet in 25 seconds. What equation represents this relationship? How many feet will the person travel in 10 seconds?
Answers
IM SO SORRY PLEASE HELP ME!!!
Answers
Answer:B,D i think that's it
Step-by-step explanation: lmk if it was right or wrong
Find the arc length of the partial circle.
Either enter an exact answer in terms of π or use 3.14 π and enter your answer as a decimal.
Answers
Answer:
1/2 pi
Step-by-step explanation:
This is 1/4 of a circle
Find the circumference and multiply by 1/4
1/4 C
1/4 ( 2*pi*r) where r is the radius
The radius is 1
1/2 pi*1
1/2 pi
Answer:
Step-by-step explanation:
A full circle has a circumference of 2*pi * r
r = 1
so Full Circle = 2 * PI
1/4 Circle = 2*pi / 4 = 1/2 pi
The length of the arc length = 1/2 pi
Just in case you prefer the more numerical answer, 1/2 * 3.14 = 1.57
Mrs. Singh made 372 cookies to put in gift boxes. She will put 20 cookies in each box. How many cookies will be left over?
Answers
Answer:
12
Step-by-step explanation:
372 : 20 = 18 (rest 12)
check
18 * 20 + 12 = 372
20 times 18 = 360
372-360 = 12
Determine the length of AB¯¯¯¯¯¯¯¯. Write your answer in simplest form.
pls help i need the answer soon
Answers
Answer:
[tex]x = 2.4[/tex]
Step-by-step explanation:
Step 1: Find the length of AB
[tex]\frac{ED}{EA} = \frac{EC}{EB}[/tex]
[tex]\frac{15}{12} = \frac{18}{12+x}[/tex]
Cross Multiply
[tex]15(12+x) = 12(18)[/tex]
Distribute
[tex](15*12)+(15*x) = 216[/tex]
[tex]180 + 15x = 216[/tex]
Divide
[tex]15x / 15 = 36 / 15[/tex]
[tex]x = 2.4[/tex]
Answer: [tex]x = 2.4[/tex]
Mr. Tola’s bag contains 7 types of pencils. There are 2 green pencils, 3 blue pencils, and 2 pink pencils. Mr. Tola randomly picks one pencil out of the bag. If x represents the likelihood of probability, what is the probability (the chance) that Mr. Tola picks either a green or pink pencil? What is the probability he picks a blue pencil?
Answers
Answer:
First part: x = 4/7
Second part: x = 3/7
Step-by-step explanation:
The Second answer is x=3/7
(4.5y +9)-(6.2-3.1y)= 7.2y+2.8
Answers
Answer:
0
Step-by-step explanation:
(4.5y+9)-(6.2-3.1y)=7.2y+2.8
4.5y+9-6.2+3.1y=7.2y+2.8
4.5y+3.1y+9-6.2=7.2y+2.8
7.6y+2.8=7.2y+2.8
7.6y-7.2y=2.8-2.8
0.4y/0.4=0/0.4
y=0
I hope this helps
Choose the equation that represents the graph.
Answers
Answer:
y = 1x + 3
Step-by-step explanation:
the slope is 1 and the y intercept is 3
Will Mark Brainliest If Correct Answers! Need Some Help Please
Given the expression: 4x10 − 64x2
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
Answers
Answer:
Step-by-step explanation:
a) 4x¹⁰ = 2² * x¹⁰
64x² = 2⁶ *x²
GCF = 2² * x² = 4x²
b) 4x¹⁰ - 64x² = 4x²*(x⁸ - 16)
=4x² *[ (x⁴)² - 4²]
= 4x² * (x⁴ + 4) (x⁴ - 4)
= 4x² * (x⁴ + 4)* [(x²)²- 2²]
=4x² * (x⁴ + 4) * (x² + 2)(x² - 2)
This table shows some college costs. How much more is tuition than the cost of fees and room and board? (table pic attached)
Answers
Answer:
7x +72
Step-by-step explanation:
Tuition - (room and board)
8x+75 - ( x+3)
Distribute the minus sign
8x+75 - x-3
7x +72
Can you please answer my question please,
Answers
Topic: Linear Equations in the Coordinate Plane
Question: Graft the function y = x + 2
Answers
Answer:
9
Step-by-step explanation:
0
A group of eight golfers paid $445 to play a round of golf. Of the golfers, one is a member of the club and seven are nonmembers. Another group of golfers consists of three members and two nonmembers. They paid a total of $195 . What is the cost for a member to play a round of golf, and what is the cost for a nonmember?
Answers
Answer:
the cost for a member to play a round of golf: $95
the cost for a nonmember: $50
Step-by-step explanation:
the cost for a member to play a round of golf: $x
the cost for a nonmember: $y
x+7y=445
x+2y=195
=> y=50, x=95
Answer:
member: $95, nonmember: $50
Step-by-step explanation:
You used 6 3/4 cups of sugar while baking muffins and nut bread for a class party. You used a total of 1 1/2 cups of sugar for the muffins. Your nutbread recipe calls for 1 3/4 cups of sugar per loaf. How many loaves of nutbread did you make?
Answers
Answer:
Step-by-step explanation:
1. Convert to decimals.
[tex]6\frac{3}{4}[/tex] = 6.75 cups of sugar - Total Sugar
[tex]1\frac{1}{2}[/tex] = 1.50 cups of sugar - Muffin Sugar
[tex]1\frac{3}{4}[/tex] = 1.75 cups of sugar - Nutbread sugar
2. Subtract muffin sugar from total sugar
6.75 cups total sugar - 1.50 cups fir muffins = 5.25 cups remaining
3. Divide remaining sugar by amount used per loaf nutbread
5.25 cups sugar / 1.75 cups for each loaf nutbread = 3
3 Loaves of nutbread were made.
1/3(3x-6)=2x please help
Answers
Answer:
-2
Step-by-step explanation:
In the picture
Answer:
x = -2
Step-by-step explanation:
1/3(3x - 6) = 2x
3x - 6 / 3 = 2x
9x - 6 = 6x
3x = -6
x = -2
6^14 y^8/6^9 y^3 = ???
Answers
Answer:
Step-by-step explanation:
Es cero
Answer:
I think its 7776v^11
Step-by-step explanation:
Math problem for high school
Answers
Answer:
50/3
Step-by-step explanation:
area of triangle = 10
area of circle = 10
area of triangle + area of circle = 20
The white sector of the circle has central angle 60°.
Its area is 1/6 the area of the circle.
To find the gray area, you must subtract the white area from the area of the circle and also subtract the white area from the area of the triangle. Two times the white area is 1/3 the area of the circle.
gray area = 20 - (1/3)10
gray area = 20 - 10/3
gray area = 60/3 - 10/3
gray area = 50/3
Answer:
The white sector of the circle = (1/6) (10) = 10/6 = 5/3
So....the grey area = 10 + 10 - 2 (5/3) = 20 - 10/3 = 60/3 - 10/3 = 50 / 3
MARK BRAINLIEST
Please whoever knows they can solve this, help!
I have attached the question down below. Please explain in detail and diagrams if the question permits you to do so. Thank you. I will also be marking the brainiest.
Answers
explanation:
Answer:Can't see the question
Step-by-step explanation:
Write a ratio and a percent for the shaded figure.
Answers
Total Squares = 10 × 10
= 100
Shaded Squares = 100 - (6×6)
= 64
Non Shaded = 6 × 6
= 36
Now Ratio of shaded portion is 64:100
= 16:25
Percentage = 64/100 × 100
= 64%
Answered by Gauthmath must click thanks and mark brainliest
HELP PLEASE! Write and solve the equation: The squares are identical. What is the area of each square?
Answers
If a=4:
HOW TO FIND THE AREA
A=4a (formula)A=4*4
A=16
If it's 100:
A=4*100
A=400
Answer:
They are congruent, simple.
Step-by-step explanation:
La base de un rectangulo es doble que su altura Cuales son sus dimensiones si el perímetro mide 108 cm
Answers
Answer:
el ancho es
18
pulgadas y la longitud es
2
×
18
=
36
pulgadas.
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
Dave and Bill were shooting free throws. Dave MADE 7 out of 15 free throws. Bill MISSED 6 out of 10 free throws. Who made the greatest fraction of free throws?
Answers
Answer:
Bill
Step-by-step explanation:
Bill-6/10=0.6 Dave-7/15=0.46Bill has a greater average. Hence, Bill has the greater fraction.
please help me find what equals to x
Answers
PLEASE HELP! If 2580 people watched one show and 2920 people watched another show. How many people need to watch the third show for there to be a 3000 people average attendance per show?
Answers
Answer:
3480
Step-by-step explanation:
Set it up so it looks like this.
(2580 + 2930 + x )/3 = 3000 Combine the terms on the left
(5510 + x) / 3 = 3000 Multiply by 3
5510 + x = 9000 Subtract 5510
x = 9000 - 5510
x = 3490
Does that really work?
2580 + 2930 + 3490 = 9000
Which says it does work.
1st show=2580
2nd show=2920
Add(+)=5,500
1st and 2nd show=5,500
Average ppl=3000
Subtract (-)= 2,500
Answer:2,500 people
Complete the following sentences based on the graph of the function.
Answers
Answer:
1) Decreases
2) not constant
3) non-linear
4) >
5) 8
6) 5
OAmalOHopeO
• The rate of change for y as a function of x is not constant, therefore the function is not linear
• For all values of x, the function value y > 0
• The y intercept of the graph is the function y=8
•When x=1 the function value of y=5
A coordinate grid with 4 lines. Line A passes through (0, 5) and (4, 3.75). Line B passes through (3.75, 0) and (0, negative 5). Line C passes through (0, negative 5) and (negative 3.75, 0). Line D passes through (negative 3.75, 0) and (0, 5).
Which line represents the linear equation
–3y = 15 – 4x?
The equation –3y = 15 – 4x rewritten in slope-intercept form is
Answers
Answer:
C
Step-by-step explanation:
im pretty sure
Answer:
9
Step-by-step explanation:
Find f'(x) (the derivative of f(x)) if f(x) = 7x'3 - 2x'2 + 4x - 5.
Option A: 21x^2-4x+4+C
Option B: 21 x^2-4x+4-5
Option C: 21 x^2-4x+4
Option D: 21x^2-4x+4-5/x
Answers
In triangle JKL, angle JKL is a right angle, KM and is an altitude. JL=8 and JM=2, find JK
Answers
Answer:
4
Step-by-step explanation:
I could be wrong, but I think it's 4. as JL divided by JM equals 4. Like I said, I could be wrong, but it's worth a shot.
Answer:
4?
Step-by-step explanation:
Last month David, a sales representative, sold $5000 worth of medicines and received a commission of 30% on his sales. How much money did David earn as commission last month?
A.$3,000
B.$2,000
C.$1,500
D.$1,000
Answers
Answer:
C.
Step-by-step explanation:
30% of 5,000 is 1,500.
