Answers
==================================================
Explanation:
x = speed of the plane in mph
x-180 = speed of the car, since its 180 mph slower than the plane
For the plane, we can form the equation
distance = rate*time
d = r*t
500 = xt
t = 500/x
For the car, we can say,
d = rt
140 = (x-180)t
140 = (x-180)*(500/x)
140x = 500(x-180)
140x = 500x - 90,000
140x - 500x = -90,000
-360x = -90,000
x = (-90,000)/(-360)
x = 250
The speed of the plane is 250 mph
-----------------------------
Extra info:
The car's speed is x-180 = 250-180 = 70 mph
It takes the plane t = d/r = 500/250 = 2 hours and it takes the car t = d/r = 140/70 = 2 hours. Both vehicles travel for 2 hours, which helps to confirm the answer.
Related Questions
Help me with this fractions work
Answers
Step-by-step explanation:
a. 5 2/5 can be converted to 27/5
Multiply the numerators and denominators of 7/9 and 27/5
You will get: 189/45
This can be simplified to 21/5
b. 1 3/4 can be converted to 7/4 and 4 1/6 can be converted to 25/6
Using the same process as before, you get: 175/24
Solve three fourths times two thirds(PLEASE i'M FAILING MATH!!!!!!!!!!!!!!!!!!)
Answers
Answer:
6/12 or 1/2 If you simply
Step-by-step explanation:
multiply straight across
Answer:
1/2
[tex] \frac{3}{4} \times \frac{2}{3} = \\ \frac{3 \times 2}{4 \times 3} = \frac{6}{12} or \: \frac{1}{2} [/tex]
Part of a bridge spans a river 35 metres wide. One third of the length of the bridge is on one side of the river and 20% of the length of the bridge is on the other side.
Answers
Answer:
[tex]35 \times 20 \div 100 = 7 \\ 35 - 7 = 28[/tex]
1. x^2 + 6x + 8 = 0
2. x^2 + 10x + 21 + 0
3. X^2 + 9x + 18 = 0
Answers
Answer:
545256
Step-by-step explanation:
8) The height of a stack of CD cases is Proportional to the number of CD’s in the stack. A stack of 6 CD’s is 66mm high.* Find the unit rate**
a) How high is a stack of 10 CD’s?
b) Write an equation that relates the height (y) of a stack of CD’s and the number of CD cases(x) in the stack.
Answers
Step-by-step explanation:
well, when 6 CD cases are 66 mm high, then 1 CD case is 66/6 = 11 mm high.
a)
therefore, 10 CD cases are 11×10 = 110 mm high.
b)
y = 11x
2. What is the equation of a line that has a slope of 3 and passes through the point(-1,4)?
y + 4 = 3(x - 1)
y - 1 = 3(x + 4)
y + 1 = 3(x – 4)
y – 4 = 3(x + 1)
Answers
Answer:
last one
Step-by-step explanation:
point slope form:
[tex](y - y1 )= m(x - x1)[/tex]
just plug in the numbers and you will get the answer:
[tex](y - 4) = 3(x + 1)[/tex]
help please RSM problem -need anwser please
Answers
Answer:
1/8 + 1/4 = 3/8
Step-by-step explanation:
A dessert has both fruit and yoghurt inside.
Yogo-pot
Altogether, the mass of the fruit and yoghurt is 175g.
The ratio of the mass of fruit to the mass of yoghurt is 2:5
What is the mass of the yoghurt?
Answers
175 divided by 7 = 25
5 x 25 =125
2 x 25 = 50
mass of yogurt is 125
In AABC, mzA = 39°,
mzB = (3x+7)°, and
mzC = (5x-2)°. Find x. PLEASE HELP
Answers
Answer:
The sum of measures of angles in a triangle is 180. So if you take the three angles, add them, and set it to 180, you will get the answer. (39 + 3x + 7 + 5x - 2 = 180)
Step-by-step explanation:
Answer:
[tex]x = 17[/tex]
Step-by-step explanation:
[tex]m < a + m < b + m < c = 180 \\ \\ 39 + (3x + 7) + (5x - 2) = 180 \\ 39 + 8x + 5 = 180 \\ 44 + 8x = 180 \\ 8x = 180 - 44 \\ 8x = 136 \\ x = \frac{136}{8} \\ \\ x = 17[/tex]
Paula caught a tarpon with a weight that was 10 times as great as the weight of a permit fish she caught. The total weight of the two fish was 154 pounds.
How much did each fish weigh?
The permit fish weighed _____ pounds.
The tarpon weighed ______ pounds.
Answers
Answer:
The weight of permit fish 140 pounds
The weight of Tarpon fish 14 pounds
Step-by-step explanation:
Let the weight of Tarpon fish ve 'x' Then by question weight of permit fish be '10x'
Now by question
x+10x=154 pounds
or,11x=154 pound
or,x=154pound/11
Therefore, x = 14 pounds
Again by question weight of permit fish
for 10x
by substituting value of x we have,
=10×14 pounds
=140 pounds
There are fewer than 30 students in the A-level mathematics class. One half of them
play the piano, one quarter play hockey and one seventh are in the school play.
How many of the students play hockey?
Answers
The number of students that play hockey is 7
The proportion is given as:
[tex]Piano =\frac 12[/tex]
[tex]Hockey =\frac 14[/tex]
[tex]School\ Play =\frac 17[/tex]
The total number of students must be a multiple of 2, 4 and 7 less than 30;
The only multiple of 2, 4 and 7 less than 30 is 28.
The number of students that play hockey is the product of 28 and the proportion that plays hockey.
So, we have:
[tex]Hockey =\frac 14 \times 28\\[/tex]
Multiply
[tex]Hockey =7[/tex]
Hence, 7 students play hockey
Read more about common multiples at:
https://brainly.com/question/290451
find the ratio
3 ounces cost $2.73
Answers
Answer:
1 : $0.91
Step-by-step explanation:
divide 3 by 3
divide 2.73 by 3
1:0.91
Muhammad needs at least 6 feet of yarn to make a scarf. If Muhammad has 2 yards and 3 inches of yarn, and there are 3 feet or 36 inches in 1 yard, will he be able to make a scarf?
Answers
Answer:
Muhammad will be able to make the scarf
Step-by-step explanation:
If he needs 6 feet of yarn and he has got 2 yards witch are 3 feet each multiply 3 feet by 2 and you get 6 yards and then add the 3 inches left, he's got 6 feet 3 inches
A red die is tossed and then a
green die
is tossed. What is the probability that
the red die shows an even number and
the green die shows an even number?
Make sure your answer is reduced.
Answers
Answer: 1/4
Step-by-step explanation:
There are three even numbers and three odd numbers on a 6 sided dice
The probability of rolling an even number on the red die is: p(red with even) = 3 / 6, or 1 / 2, since there are six numbers on a die.
The probability of rolling an even number on the green die is the same as the probability of rolling an even number on the red die, or 3 / 6, or 1 / 2.
Since rolling the red die and rolling the green die are independent events, to find the probability of both occurring, you need to multiply the individual probabilities.
P(of both red and green even) = 1/2 * 1/2, or 1/4.
Answer:
3/4
Step-by-step explanation:
This is what I got for Acellus
K2. Calculate the total surface area of cuboids with the following dimensions (d) Radius = 3 m, breadth = 1.5 m, height = 2 cm
Answers
Answer:
2(3×2)+2(3×1.5)+2(1.5×3)
Step-by-step explanation:
12+9+9
30
Answer:
30cm square
Step-by-step explanation:
2(3×2)+2(3×1.5)+2(1.5×3)
2[3×2+3×1.5+1.5×3]
2(6+4.5+4.5)
2×15
30
On Saturday Keisha ran 3.218 kilometers. on Su nday she ran 2.87 kilometers. How much further did she run on Saturday than on Sunday
Answers
Answer:
0.808 you find the difference between the two numbers
Roxanne has 142 songs on her MP3 player Tessa has 11 times as many songs as Roxanne so how many songs does Tessa have?
Hurry I need this :(
Answers
Answer:
142×11=1152
Step-by-step explanation:
hope it helps you:)
There are 20 marbles in a bag. 1/5 are red and others are blue. What is the ratio of red to blue marbles
Answers
Answer:
4:16 or 1:4
Step-by-step explanation:
1/5 of 20 = 4
there are 4 red marbles
there are 16 blue marbles
4:16 or 1:4
Answer:
1/5 to 4/5
Step-by-step explanation:
I took this quiz befrore and got a 100
1. 5 3/4 + 5/6 + 2 1/2
2. 3 1/3 - (5 - 1 5/6)
Answers
If CD = 6 and the perimeter of ABC is 41, what is the perimeter of ABE?
Answers
Answer:
53.
Step-by-step explanation:
DE = CD = 6 ( as triangle ACE is isosceles so AD is the perpendicular bisector of CE.
Therefore CE = 12.
AB + BC + AC = 41 (given perimeter of ABC)
AB + BC + AE + 12 = perimeter of ABE.
But AE = AC ( given), so
AB + BC + AC + 12 = perimeter of ABE
Now we know that AB + BC + AC = 41 , so
41+ 12 = perimeter of ABE.
How do you find the inverse of the exponential growth function?
f(x)=9.16(1.0054)^x
I know the inverse of an exponential is the log but the function is not in the exponential form and I am not sure how to find c
Answers
Answer:
The inverse function of f(x) is ... f⁻¹(x) = log (x/9.16)/log (1.0054)
Step-by-step explanation:
Starting equation... f(x) = 9.16(1.0054)ˣ
Visually rewritten... y = 9.16(1.0054)ˣ
Flipping x and y... x = 9.16(1.0054)ʸ
Isolating (1.0054)ʸ... x/9.16 = (1.0054)ʸ
Taking the log of both sides... log (x/9.16) = y log (1.0054)
Isolating y... log (x/9.16)/log (1.0054) = y
Solution... y = log (x/9.16)/log (1.0054)
Mrs. Jenson's science quiz has 4 questions. Each question has answer choices "A," "B," "C," and "D." How many combinations of 4 answers are possible for the 4-question science quiz? Possible answers 16 , 24, 64, and 256.
Answers
Answer:
14
Step-by-step explanation:
For every question, there should be 1 answer.
There are 4 answers for the 4 questions
4 times 4 = 16
will mark brainly
Which statements describe the end behavior of f(x)?
Select two answers.
As x approaches ∞, y approaches −∞.As x approaches ∞, y approaches −∞.
As x approaches −2.5, y approaches ∞.As x approaches negative 2 point 5 textsf comma y approaches ∞.
As x approaches −∞, y approaches −2.5.As x approaches −∞, y approaches
As x approaches −2.5, y approaches −∞.As x approaches negative 2 point 5 textsf comma y approaches −∞.
As x approaches ∞, y approaches ∞.As x approaches ∞, y approaches ∞.
As x approaches ∞, y approaches −2.5.
Answers
As x approaches infinity, we see that y also approaches infinity. This means that the 5th option with the two sentences stating this is correct.
Hope this helps x
Use the graph to describe what transformation has taken place. List your answer below.
please help!
Answers
Answer:
reflection over the y axis
Step-by-step explanation:
Pls explain how to solve this elimination problem!!
Answers
A triangle has vertices at (1, 1), (1, 4), and (−3, 4).
What are the coordinates of the circumcenter?
Answers
Answer:
(-1, 2.5) is correct
Step-by-step explanation:
Given
Let A(1, 1)
Let B(1, 4)
Let C(-3, 4)
Let coordinates of the circumcenter is (x, y)
Using distance formula put the y value in this equation
So the coordinates of the circumcenter is (1, 2.5)
Step-by-step explanation:
Sorry it's so long.
If one lap takes me 11 minutes and 10 seconds how long will it take me to do 10 laps
Answers
Answer:
111 minutes and 40 sec
Step-by-step explanation:
11x10=110 minutes
10 sec x 10 = 100 seconds = 1 minute 40 sec
110 minutes+1 minute+40 seconds= 111 minutes and 40 seconds
On a coordinate plane, 2 lines are parallel to each other.This system of equations has .
PLS HELP
Answers
Answer:
No solutions
Step-by-step explanation:
The lines never meet, there for have no intersection point leading to no solution for the system of equations.
Hope that helps
Find the unknown side (w) of the rectangular solid. Please help..
Answers
Answer:
Step-by-step explanation:
MAy yoy make it bigger
what is the equation of the line that passes through the point (0, -2) with a slope of 2
Answers
Answer:
Step-by-step explanation:
You can use a fill in the blank formula called "point-slope" formula because you were given a point and the slope. But there's an even easier way because they gave you a special point. The point (0, -2) is on the y-axis. So it actually IS the y-intercept. So just in this case, you can use the slope-intercept formula as a fill-in-the-blank formula bc you were actually given the slope (we always use m for slope) and the y-intercept.
This is y = mx + b... fill in the given slope for the m, fill in the y-intercept for the b, then you're done!
y = 2x -2