a.
The rate of the plane in still air is 700 km/h
Let V = rate of plane in still air and v = rate of wind.
When flying against the wind, an airplane travels 5220 kilometers in 9 hours, we have that since distance = speed × time
(V - v) × 9 = 5220
V - v = 5220/9
V - v = 580 (1)
Also, flying with the wind, the same plane travels 6560 kilometers in 8 hours, we have that since distance = speed × time
(V + v) × 8 = 6560
V + v = 6560/8
V + v = 820 (2)
Adding equations (1) and (2), we have
V - v = 580 (1)
+
V + v = 820 (2)
2V = 1400
V = 1400/2
V = 700 km/h
So, the rate of the plane in still air is 700 km/h.
b.
The rate of the wind is 120 km/h
Substituting V into (1), we have
V - v = 580 (1)
700 - v = 580
v = 700 - 580
v = 120 km/h
So, the rate of the wind is 120 km/h
Learn more about rate of plane here:
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Pls answer this question
Yesterday, 5/6 of the 120 students in a contest gave their speeches. How many students gave their speeches.
Answer:100 Estudiantes dieron su discurso
Step-by-step explanation:
120÷6=20
20x5=100
100 Students
How?
120÷6=20
You can do this,
or you can do
120×1/6=20
_____________________________________________
20×5=100
Therefore,
100 students gave their speeches.
(100 points will award brainliest)
In the image below, the m
Answer: 67°.
Step-by-step explanation:
1) m∠PMR=m∠LMN=3x+19°;
2) m∠LMN+m∠LMP=180°, it can be written as 3x+19+9x-31=180;
3) if to solve the equation 3x+19+9x-31=180, then x=16;
4) m∠PMR=3x+19=48+19=67°.
A sequence begins with-3. Each term is calculated by multiplying the previous term by -4, then subtracting 1.
Which option correctly represents the sequence described?
A -3, 11, -45, 179, ...
B {-3, -13, -53, -213, ...}
C. {-3, 11, -45, 179, ...}
D -3, -13, -53, -213,...
Answer:
A
Step-by-step explanation:
We know that to find the next term we have to do
-3(-4)-1, which is equal to 11.
There are only to solutions with the '11' as the second term, A and C.
It can't be C as curly brackets state a set of numbers.
20 charecters lol pls solve
Answer:
-3x+12
Since we are adding like terms you add everything that has an "x" after it [(3.4x) + (-5.4x) + (-x)] it all that adds up to -3x and the you add the 12 to it. It could also be written 12-3x
This 3 by 3 grid shows nine 1 cm x 1cm squares and uses 24 cm of wire.
What length of wire is required for a similar 20 by 20 grid?
A 400 cm B 420 cm C 441 cm D 800 cm E 840 cm
Answer:
E 840 cm
Step-by-step explanation:
For a 20×20 grid, there will be 21 strands in the vertical direction, and 21 in the horizontal direction. Each strand wil be 20 cm long. The total length is ...
(20 cm)(2 × 21) = 840 cm
_____
Additional comment
In this case, we take "similar" to mean that the grid squares are 1 cm, and the wire encloses a larger array of those squares.
In geometry, the term "similar" would mean the larger grid is simply a scaled-up version of the smaller one, with squares that are 20/3 cm, instead of 1 cm. The length of wire required in that case is (4+4)(20 cm) = 160 cm = (20/3)×(24 cm).
Express the following exponential functions in logarithmic form.
1. 10^8 = 100, 000, 000
2. 10^-4 = 0.0001
Answer:
see explanation
Step-by-step explanation:
Using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
(1)
[tex]10^{8}[/tex] = 100,000,000 ( with b = 10 and n = 8 )
[tex]log_{10}[/tex] (100,000,000) = 8
(2)
[tex]10^{-4}[/tex] = 0.0001 ( with b = 10 and n = - 4 )
[tex]log_{10}[/tex] (0.0001) = - 4
I’m having trouble with this question I need some help please
Answer:
[tex] \frac{1}{2} \: \: \: \: \: \frac{1}{4 \: } \: \: \: \frac{1}{8} [/tex]
[tex] \frac{4}{8} \: \: \: \frac{2}{8} \: \: \: \frac{1}{8} [/tex]
She ate
[tex] \frac{7}{8} [/tex]
Write the equation in standard form.
y + 7 = -3 (x + 1)
Standard form = ax+by+c=0
= Writing the given eq. in standard form =
= y+7=-3x-3
= 3x+y+7+3=0
= 3x+y+10=0
Can someone help me out? Will mark brainiest
What is the greatest common factor shared by 70 and 15?
Answer here
SUBMIT
Answer:
The greatest common factor of 70 and 15 is 5.
Step-by-step explanation:
First, list the prime factors for each individual number
Next, circle each common prime factor. This means that you must find the prime factors that are the same as each other. For example, if it's 1 3 4 and 2 3 5, the common prime factor would be 3.
Finally, you must multiply all of the common prime factors. Your answer will be the greatest common factor!
So, the greatest common factor of 70 and 15 is 5.
11
For your job, you often fly between Seattle and Miami. The distance between these cities is 2,724 miles. You earn a free flight after you accumulate 25,000 miles of travel. How many round trips (back and forth) mus!
you make between Seattle and Miami in order to earn a free flight?
b. 5
c. 8
d. 9
e. 10
Answer 5
Answer:
b
Step-by-step explanation:
one trip = 2724 miles
one round trip = 2 trips = 2724 * 2 = 5448 miles
We want to see how many round trips go into the miles needed for a free flight. We want to see how many times 5448 goes into 25000. To do this, we can use division.
25000/5448 ≈ 4.6
If we only have 4 round trips, it will not be enough for 4.6, so we will not be able to obtain a free flight. If we have 5, we will be able to, as 5 > 4.6
-PLEASE HURRY
8. Given: x2 – 2x + 5, find :
1.f(2)
2.f(-3)
3.f(0)
4.f(5) - f(-2)
5.f(1) + f(6)
-
Answer:
Step-by-step explanation:
f(x) = x² - 2x + 5
1) f(2) = (2)² - 2(2) + 5 = 5
2) f(-3) = (-3)² - 2(-3) + 5 = 20
3) f(0) = (0)² - 2(0) + 5 = 5
4) f(5) - f(-2) = (5)² - 2(5) + 5 - [(-2)² - 2(-2) + 5 = 20 - 13 = 7
5) f(1) + f(6) = (1)² - 2(1) + 5 + [(6)² - 2(6) + 5 = 4 + 29 = 33
Help help help math math
Answer:
gradient M = 4
Step-by-step explanation:
pick any two pairs
M= change in Y / change in X
considering the last pairs
3--1/0--1=4✓
considering first pair
-1--5/-1--2 is also 4✓
I hope it helps
Marsha is driving 630 otal miles on a trip. She has already driven 2/5 of the distance. How far has Marsha driven?
Answer:
Marsha has driven 252 miles
Step-by-step explanation:
In order to figure out the problem, you take the total distance and multiply it by the fraction she has gone. This would be 630*(2/5) which would equal 252. Thus, Masha has driven 252 total miles.
Hope this helps! :)
i have a question yall
Even though you can take drivers ed at 14 but you cant get ur license till 15 would you take drivers ed at 14 or 15
answer asap
How do you turn a 5:1 ratio into a fraction
Answer:
[tex]\frac{5}{1}[/tex] is the same as 5:1
Martina's fish tank has 15 liters of water in it. She plans to add 5 liters per minute until the tank has at least 60 liters. What are the possible numbers of minutes
. :
Martina could add water?
Use t for the number of minutes
Write your answer as an incqua ty solved fort
Answer:
9 minutes
Step-by-step explanation:
60=15+5t
45=5t : subtract 15 from both sides
9=t : divide by 5 for both side
This is Functions and Statistics Class:
[tex] \sqrt[6]{x} . \sqrt[4]{ {y}^{3} } \\ = {x}^{ \frac{1}{6} } . {y}^{ \frac{3}{4} } \\ = {x}^{ - 6} . {y}^{ \frac{3}{4} } [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Decomposition of 1,980
Answer:
2
990
2
495
3
165
3
55
5
11
Step-by-step explanation:
2 with the radical of 32
12 cars in 15 hours how many cars is in 10 hours
Answer:
8Step-by-step explanation:
12 cars in 15 hours how many cars is in 10 hours
12 : 15 = x : 10
x = 12 * 10 : 15
x = 8
-------------------
check
12 : 15 = 8 : 10
0.8 = 0.8
the answer is good
Mandy spins a biased spinner 3 times. The probability that the spinner will land on blue on all 3 spins is 27/512 Calculate the probability that when the spinner is spun 3 times it does not land on blue on any of the spins
Answer:
0.158203125
i think
HELP
In \triangle JKL,△JKL, \angle J \cong \angle L,∠J≅∠L, LJ = 17LJ=17 and KL = 10KL=10. Find the length of JK.JK.
It's a isosceles right angled triangle
LJ=17KL=10[tex]\\ \sf{:}\Rrightarrow JK^2=17^2+10^2[/tex]
[tex]\\ \sf{:}\Rrightarrow JK^2=289+100[/tex]
[tex]\\ \sf{:}\Rrightarrow JK^2=389[/tex]
[tex]\\ \sf{:}\Rrightarrow JK=19.72[/tex]
Which TWO identify the same sequence?
A) f(x) = 6x + 4 for x = {1, 2, 3, ...}
B) f(x) = 10x + 4 for x = {1, 2, 3, ...}
C) a1 = 6 and an + 1 = an + 4 for n = {1, 2, 3, ...}
D) a1 = 10 and an + 1 = an + 4 for n = {1, 2, 3, ...}
E) a1 = 10 and an + 1 = an + 6 for n = {1, 2, 3, ...}
The sequences A and E are the same sequences.
What is Sequence?Sequences are set of numbers where the numbers are arranged in a specific order. Some of the common types of sequences are Arithmetic sequences and Geometric sequences.
A) f(x) = 6x + 4 for x = {1, 2, 3, ....}
f(1) = 10, f(2) = 16, f(3) = 22, ....
B) f(x) = 10x + 4 for x = {1, 2, 3, ...}
f(1) = 14, f(2) = 24, f(3) = 34, ....
C) a₁ = 6 and aₙ₊₁ = aₙ + 4 for n = {1, 2, 3, ...}
a₁ = 6, a₂ = a₁ + 4 = 10, a₃ = a₂ + 4 = 14, ....
D) a₁ = 10 and aₙ₊₁ = aₙ + 4 for n = {1, 2, 3, ...}
a₁ = 10, a₂ = a₁ + 4 = 14, a₃ = a₂ + 4 = 18, .....
E) a₁ = 10 and aₙ₊₁ = aₙ + 6 for n = {1, 2, 3, ...}
a₁ = 10, a₂ = a₁ + 6 = 16, a₃ = a₂ + 1 = 22, ....
A and E are the same sequences with a common difference 6 and the first term 10.
Hence A and E have the same sequence 10, 16, 22, .....
To learn more about Sequences, click :
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Please help!!!!!!!!!!!!!!
Answer:
The answer is A.
Step-by-step explanation:
1 plus 2x (276-5y) + 69= A.
Find the value for x
(x+20) (4x-5)
Answer:
I think it x=33
Step-by-step explanation:
[tex]x+20+4x-5=180\\5x+15=180\\-15 -15\\5x = 165\\/5 /5\\x = 33[/tex]
A watch band is 8 in long. What is its diameter when you wrap it around your wrist? Round your answer to the nearest
hundredths.
Please be accurate and explain.
Answer:
well, all you need to do is 8 x 3.14 so then you shall get your answer!
Step-by-step explanation:
What is the slope of the function?
–10
- 5
5
10
Answer:
?
Step-by-step explanation:
what is the function?
a slope going up means it is positive and a slope going down means it is negative
What is an equation of the line parallel to the line on the graph that passes
through (4, 15)?
Weight of Bucket of Sand
Total weight (ounces)
Answer:
Step-by-step explanation:
The existing line appears to pass through (0, 20) and (10, 50)
so the line slope is m = Δy/Δx = (50 - 20) / (10 - 0) = 3
parallel lines have identical slopes
y = 3x + b
15 = 3(4) + b
b = 3
D. y = 3x + 3
[tex]\\ \rm\Rrightarrow m=\dfrac{25-20}{2}=5/2[/tex]
Slope of parallel line=5/2Equation of line in point slope form
[tex]\\ \rm\Rrightarrow y-y_1=m(x-x_1)[/tex]
[tex]\\ \rm\Rrightarrow y-15=5/2(x-4)[/tex]
[tex]\\ \rm\Rrightarrow 2y-30=5x-20[/tex]
[tex]\\ \rm\Rrightarrow 5x-2y+10=0[/tex]
Which inequality matches the graph?
Answer:
x < 2/3 y + 2 1/3
Step-by-step explanation:
put it in a graphing calculator and they matched, I do not know