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
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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
Identify the vertical asymptotes of f(x) = quantity x plus 6 over quantity x squared minus 9x plus 18. X = â’6 and x = â’3 x = â’6 and x = 3 x = 6 and x = â’3 x = 6 and x = 3.
Answers
The vertical asymptotes of the function are 3 and 6
Given the function
[tex]\frac{x+6}{x^2-9x+18}[/tex]
The vertical asymptotes of the function occur at the point where the denominator is zero.
Equate the denominator to zero.
x^2 - 9x + 18 = 0
Factorize the quadratic expression:
x^2 - 3x - 6x + 18 =0
x(x-3)-6(x-3) = 0
(x-3)(x-6) = 0
x - 3 = 0 and x - 6 = 0
x = 3 and 6
Hence the vertical asymptotes of the function are 3 and 6
Learn more on vertical asymptotes here: https://brainly.com/question/21678319
The diagram below shows a Sudoku puzzle with a difference. Some of the lines between adjacent cells have a number on them; this is the product of the numbers in the cells.
The normal rules of Sudoku also apply: the numbers 1 to 9 must appear once each in each row, once in each column, and once in each square block.
Can you solve this puzzle?
Answers
1. You are planning an extended trip to Mexico. You have a new smartphone to keep in touch with your friends but are concerned about the roaming charges since you will be outside the home network service area. Your plan costs $40.00 per month plus $0.35 per minute for roaming charges. Write a linear model relating your monthly cost, C, and the roaming minutes, t.
A: C = $40 + $0.35t
B: C = $40 $0.35t
C: C = $0.35 + $40t
D: C = $0.35 $40t
Answers
Which inequality represents this statement?
A number is no more than 5.
n<5
n≥5
n>5
n≤5
Answers
Answer: the last one!! [tex]n\leq 5[/tex]
Step-by-step explanation:
When there is a line under it means no more than!
What is the value of the digit in the millions place?
56,931,446
A. 9,000,000
B. 50,000,000
C. 6,000,000
D. 400,000
Answers
Answer:
C 6,000,000
Step-by-step explanation:
For a given series, s1=1, s2=8, s3=21 what is the 3rd term in the sequence?
Answers
Answer:
S=13, read pictures below
Step-by-step explanation:
X/2 = Y/3 = Z/4. prove that :2X-Y+5Z / 3Y-X =3. note :: (/) is for a fraction aka divide. help pls I've been stuck on it for a few days
Answers
The given equation
x/2 = y/3 = z/4
can be broken into three separate equations which I'll call equations (A), (B) and (C)
x/2 = y/3 ..... equation (A)y/3 = z/4 .... equation (B)x/2 = z/4 .... equation (C)We'll start off solving for z in equation (C)
x/2 = z/4
4x = 2z ... cross multiply
2z = 4x
z = 4x/2 ... divide both sides by 2
z = 2x
Now let's solve for y in equation (A)
x/2 = y/3
3x = 2y
2y = 3x
y = 3x/2
y = (3/2)x
y = 1.5x
The results of z = 2x and y = 1.5x both have the right hand sides in terms of x. This will allow us to replace the variables y and z with something in terms of x, which means we'll have some overall expression with x only. The idea is that expression should simplify to 3 if we played our cards right.
We won't be using equation (B) at all.
---------------------
The key takeaway from the last section is that
z = 2xy = 1.5xLet's plug those items into the expression (2x-y+5z)/(3y-x) to get the following:
(2x-y+5z)/(3y-x)
(2x-y+5(2x))/(3y-x) ..... plug in z = 2x
(2x-y+10x)/(3y-x)
(12x-y)/(3y-x)
(12x-1.5x)/(3(1.5x)-x) .... plug in y = 1.5x
(12x-1.5x)/(4.5x-x)
(10.5x)/(3.5x)
(10.5)/(3.5)
3
We've shown that plugging z = 2x and y = 1.5x into the expression above simplifies to 3. Therefore, the equation (2x-y+5z)/(3y-x) = 3 is true when x/2 = y/3 = z/4. This concludes the proof.
I need help eeeeeeeee
Answers
Answer:
one left so they all shift by 1
y=x−4
y=4x+2
Find x and y
Answers
Answer:
x = -2
y = -6
Step-by-step explanation:
x - 4 = 4x + 2
-4 = 3x + 2
-6 = 3x
x = -2
y = -2 - 4; y = -6
The manger of a water park keeps track of the amount of money collected, M, and the number of tickets,T, each day.
Answers
Answer: The variable t us the dependent variable because it affects the amount of money collected, m, each day.
Which sequence shows the numbers in order from least to
greatest?
1
2
-3
4
3
-3
OA) 2 3
} }
OB) Ź. *.
oc) * * Ź
OD) * *
4
Answers
Answer:
-3 1 2 3 4
Step-by-step explanation:
Answer:
-3 1 2 3 4
Step-by-step explanation:
Find the product:
[tex] \frac{1}{8} \times \sqrt{8} [/tex]
Answers
Answer:
≈ 0.35
Step-by-step explanation:
First simplify [tex]\sqrt{8}[/tex] and [tex]\frac{1}{8}[/tex] :
[tex]\sqrt{8}[/tex] ≈ 2.83
[tex]\frac{1}{8}[/tex] = 0.125
Now multiply them as shown in the original equation:
0.125 x 2.83 = 0.35375 ≈ 0.35
Will give thank,brainly and 5 stars!
Answers
The second and last one.
The second one multiplies the cost of each type of ticket by two, therefore saying that you wanted to buy two of each type of ticket.
The last one multiplies the cost of a single ticket of all three types and multiplies it by 2.
Answer:
The second and last one
Step-by-step explanation:
Hope this helps and have a good day!
Jeremy got a haircut and paid 15% as a tip. What percent of the cost did Jeremy pay the barber, including the tip?
Answers
The percentage of the cost that Jeremy will pay including the tip paid is 115% of the cost.
Assuming the cost was $100 and Jeremy gave a 15% tip. The total he would pay is:
= 100 + tip
= 100 + (100 x 15%)
= $115
In percentage this is:
= 115/100 x 100%
= 115%
In conclusion, Jeremy would pay 115% of the tip.
Find out more at https://brainly.com/question/22444616.
Solve the inequality-8≤3x-17<19
Answers
Answer: The answer is X∈[3,12).
Answer:
-8≤3x-17<19
-8+8 ≤ 3x - 17 + 8 < 19 + 8
0 ≤ 3x - 9 < 27
0 ≤ 3x - 9 + 9 < 27 + 9
0 ≤ 3x < 36
0 ≤ 3x / 3 < 36/3
0 ≤ x < 12
So x can be 0 or less than 12. A number between 0 and 12
help i have math homework and im real bad at it i got a B- last year so help
Answers
[tex] \huge \red{\boxed{ \colorbox{black}{ \color{gold}{question}}}}[/tex]
Need help~
[tex] \sqrt{3 + 3 + 3 + 3 + 3 + 3} [/tex]
Answers
Answer:
3√2
Step-by-step explanation:
First, combine all the numbers in the square root, and then square root the number provided:
√(3 + 3 + 3 + 3 + 3 + 3) = √18
When square rooting, first, find prime factors of the number, 18. If there are pairs, they will be combined into a whole number:
√18 = √(3 * 3 * 2) = 3√2
3√2 is your answer.
~
-X + 2y= -3 and -8x — 3y= -5
Answers
Answer:
x=1, y=-1. (1, -1).
Step-by-step explanation:
-x+2y=-3
-8x-3y=-5
----------------
-8(-x+2y)=-8(-3)
-8x-3y=-5
------------------------
8x-16y=24
-8x-3y=-5
-----------------
-19y=19
y=19/-19
y=-1
-x+2(-1)=-3
-x-2=-3
-x=-3+2
-x=-1
x=1
(1, -1)
Answer:
x = 1, y = -1
or as an ordered pair, (1, -1).
Step-by-step explanation:
-x + 2y = -3
-8x — 3y = -5
Multiply first equation by -8:
8x - 16y = 24
Add this equation to the second equation:
-19y = 19
y = -1.
Plug y = -1 into the second equation:
-8x - 3(-1) = -5
-8x + 3 = -5
-8x = -8
x = 1.
pleeeeeeeease help meeeee
Answers
Answer:
45
Step-by-step explanation:
First, we have to find the Nth term of this sequence. Since this is linear we can just find the difference to get the n. For example, we can do 3-2 which is one and we can also do 5-4 which is also 1 which confirms that the n is 1. So in other words, 1n However, we don't write the 1 in front of the n because the n itself represents 1n. Next, we have to take away 1 from the first term, which also gives us 1. This is the adjustment to the 1n. So our answer is n+1, which is the nth term for this linear sequence. So now we just substitute 44 into the equation. 44+1=45, which is the 44th term.
Does anyone get this??
Answers
Answer:
the answer is 12m
Step-by-step explanation:
u know the side c and side B.
C=15m but u have to square it which is 225
B=9m but u have to square it which is 81. then subtract 82 from 225.which will give u 144 which is a perfect square route of 12
Find the area of each figure
Answers
Answer:
flu
Step-by-step explanation:
ugh
How many different terms are in the expression? 28s + 3t+ 6b + 21f
Answers
Answer:
4
Step-by-step explanation:
In math, the word difference is the result of subtracting one number from another. It refers to the difference in quantity between two numbers. In math, we get the difference between two numbers by subtracting the subtrahend (the number being subtracted) from the minuend (the number being subtracted from).
19. The present age of brother and sister are in the ration 4:5 Before three years the ration of their age was 3:4. find their present age-
Answers
Answer:
Sister = 15 years old
Brother = 12 years old
Step-by-step explanation:
Right now, if the brother is B years old and the sister is S years old, B = (4/5)S because the ratio from brother to sister is 4:5, so if one unit is X, B = 4X and S = 5X
Three years ago, the brother was B-3 years old and the sister was S-3 years old. Keeping one unit as X, we have
B = 3X
S = 4X
B-3 = (3/4)(S-3)
Therefore, we have a system of equations
B = (4/5)S
B-3 = (3/4)(S-3)
Substitute (4/5)S for B into the second equation to only have one variable
(4/5)S - 3 = (3/4)(S-3)
(4/5)S - 3 = (3/4)S - 9/4
add 3 to both sides and subtract (3/4)S from both sides to isolate the variable and its coefficient
(1/20)S = 3/4
multiply both sides by 20 to isolate the S
S = 15
B = (4/5)S = 12
PLS HELP using only the marking in the diagram, what theorem can be used to show that the two triangles are congruent
a.) AAS
b.)ASA
c.)HL
d.)SSS
Answers
We can see that angles BAC and EDF are equal
We can also see that lines AC and DF are equal
And we can see that angles ACB and DFE are equal
Can someone please help me with this and I’ll give you a lot of points
Answers
Answer:
C
Step-by-step explanation:
Slope intercept form is Y = Mx + b
So the additional hour is being added on
please keep it simple.
Answers
Answer:
[tex]z^{2} +\frac{1}{2} +11z[/tex]
Step-by-step explanation:
→ Minus the z² terms
[tex]1\frac{1}{2} z^{2} -\frac{1}{2} z^{2}=1 z^{2}[/tex]
→ Minus the whole numbers
[tex]3\frac{1}{2} -3=\frac{1}{2}[/tex]
→ Add the z terms
11z
if 10 apples cost $1 how much would it cost per Apple
Answers
Answer:
10 cents per apple
Step-by-step explanation:
1 divided by 10 which is 1. And move the decimal one place to the left, leaving you with .1 or 0.1 or 0.10
Select all the equations that have {7} as its solution set. 65−2x=6x+9 9−x=14x 3+4x=5x−4 x2+1=8x−5
Answers
Answer:
the answer is this hope it helps im not sure if its all right good luck.
Step-by-step explanation:
A. 65-2x=6x+9
B. 9-x=14x
C. 3+4x=5x-4
d is wrong
The first and third equations have {7} as their solution set.
What is an equation?It is a mathematical statement that is made up of two expressions connected by an equal sign.
The first equation is
65−2x=6x+9
Rearranging the above equation gives
8x = 65-9 = 56
i.e x = 7
Consider the second equation,
9−x=14x
i.e x = 9 / 15 = 0.6
The third equation is:
3+4x = 5x−4
i.e x = 7
The last equation is
x^2+1 = 8x−5
Its solution is not equal to 7.
As a result of the preceding equations, we can conclude that only the first and third equations have "7" as their solution set.
To learn more about equation, use the link given below:
https://brainly.com/question/29538993
#SPJ2
what is the greatest common factor of 32 and 56
Answers
The angle measures of an isosceles triangle are shown. Find the value of w.
Answers
Answer:
[tex]w=7[/tex]
Step-by-step explanation:
Using the Angle Sum Theorem which states that all the interior angles in a triangle add up to 180 degrees you can use that to solve for w with the following:
[tex]62 +9w-1+8w=180[/tex] First combine like terms
[tex](62-1)+(9w+8w)=180[/tex]
[tex]61+17w=180[/tex] Then subtract 61 from both sides.
[tex]17w=180-61[/tex]
[tex]17w=119[/tex] Now divide by 17
[tex]w=119/17[/tex]
[tex]w=7[/tex]