The rate of the jet in still air is 740 mph and the rate of the wind is 110 mph.
The given parameters;
distance traveled against the wind, d₁ = 3780 milestime of motion, t₁ = 6 hoursdistance traveled with wind, d₂ = 5950 milestime of motion, t₂ = 7 hoursLet the rate of the jet in still air = R₁
Let the rate of the wind = R₂
The rate of the jet against the wind:
[tex]R_1 - R_2 = \frac{3780}{6} \\\\R_1 - R_2 = 630[/tex]
The rate of the jet with the wind:
[tex]R_1 + R_2 = \frac{5950}{7} \\\\R_1 + R_2 = 850\\\\[/tex]
The rate of the jet in still air is calculated as follows;
[tex]R_1 = \frac{630 + 850}{2} \\\\R_1 = 740 \ mph[/tex]
The rate of the wind is calculated as follows;
[tex]R_1 - R_2 = 630\\\\R_2 = R_1 - 630\\\\R_2 = 740 - 630 \\\\R_2 = 110 \ mph[/tex]
Thus, the rate of the jet in still air is 740 mph and the rate of the wind is 110 mph.
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Round to 2 decimal places 0.966
Answer:
Step-by-step explanation:
round to 2 places 0.966: 1.00
A triangle has vertices (1,4),(1,1),and (-3,1). The triangle is dilated by a scale factor of two, then translated five units up, and then rotated 90° counterclockwise about the origin. What are the first roles of the image of the triangle?
The first roles of the image of the triangle are (-13, 2), (-7, 2), and (-7, -6).
Given the coordinates of the vertices (1,4),(1,1), and (-3,1), if the coordinate is dilated by a factor of 2, the resulting coordinates will be gotten by multiplying each coordinate by "2" to have (2, 8),(2,2), and (-6,2).
If it is translated five units up, the resulting coordinate will be gotten by adding 5 to the y-coordinates to have (2, 13),(2, 7), and (-6,7).
If the resulting coordinate is then rotated 90° counterclockwise about the origin, the final position of the vertices will be at (-13, 2), (-7, 2), and (-7, -6).
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What is the probability that a positive integer not exceeding 100 selected at random is divisible by 3
Answer:
33/100
Step-by-step explanation:
E = 99/3
p = E/S = 33/100
there are 350,000 in a warehouse predict the number of light bulbs that are likely to have no defects
Answer:
175000.(or around that number)
Step-by-step explanation:
half of 350,000 is 175000.
Anthony is in a hot air ballon that has taken off and is floating above its launching point. Leroy is standing on the ground, 8 METERS away from the launching point. If Anthony and Leroy are 10 meters apart, how high up is Anthony?
thanks in advance ill mark brainliest
Answer:
100º
Step-by-step explanation:
Cooresponding angles are congruent
11x + 1 = 10x + 10
Subtract 10x from both sides
x + 1 = 10
subtract 1 from both sides
x = 9
θ = 11x + 1
θ = 11(9) + 1
θ = 99 + 1
θ = 100º
The ratio of trees to shrubs is 5:2. How many shrubs are there for 30 trees?
Answer:
30:12
Step-by-step explanation:
The beginning ratio is 5:2, trees to shrubs.
For every five trees, there are two shrubs.
So here is how we are going to solve the problem, since we are trying to figure out the amount of shrubs for 30 trees, we are going to divide 30 by 5 then once we've found out the quotient, we are going to multiply the quotient by two to get our amount of shrubs.
30 ÷ 5 = 6
6(2)=12
To conclude, for 30 trees there are 12 shrubs.
Which equation has no solution?
A)
2x=5
B)
X + 12 = 3x - 2
C)
3x + 4 = 3x + 3
D)
- 2x + 5 = -2x + 5
If you subtract 3x from both sides of that equation, you'll go from
3x+4 = 3x+3
to
4 = 3
which is a false statement. No matter what you plug in for x, the original equation is always false as well. This is why it has no solutions.
Please help me out with this Math sheet. Thanks
Answer:
1. acute
2. obtuse
3. right
4. acute
5. straight
6. obtuse
7. acute
8. obtuse
9. straight
10. ∠ EAD , ∠ CED , ∠ BCE , ∠ BEA , ∠EBC
11. ∠CDA , BCD
12. ∠AED ,∠BEC
13. ∠ AEC, ∠ BED
14. ∠ EAU , ∠EUI , ∠IUO , ∠OAE
15. ∠ EUO , ∠IUA
16. ∠AUO , ∠EIO
answer this asap please its emergency
Step-by-step explanation:
emergency ? why ? you are in the middle of a game with such an unfair die ?
the probabilty for a number of a regular die is 1/6 (desired cases divided by total possible cases).
the probability to role an even number is therefore 3/6 = 1/2.
that means, even and odd are the 2 possible outcomes.
now, for the unfair die we can see it as if we have now 4 possible outcomes : 3 times an even number, and 1 time an odd number.
so, the probability to roll an even number is 3/4 (and for an odd number 1/4).
now, we roll it twice.
for the sum to be even, we either have to roll 2 even numbers or 2 uneven numbers.
the probabilty is the sum of the both probabilities (it is an exclusive "or" relationship).
the probability to roll 2 even numbers is
3/4 × 3/4 = 9/16
the probability to roll 2 uneven numbers is
1/4 × 1/4 = 1/16
the sum is
9/16 + 1/16 = 10/16 = 5/8
so, E is the right answer.
also need help with this one
Answer:
x=8°
Step-by-step explanation:
Let's make an equation with this problem, since all side have to add up to 180 degrees we can solve it
(5x-2)+(9x+3)+(11x-21)=180°
lets add up light terms
25x-20=180°
add both sides by 20 and we get 25x=200°
divide both sides by 25 and we get x=8°
In the ratio of 3:2:2, three brothers invested a total of 49000 pesos to a store. Find each brother's share in the investment.
Answer:
21000,14000,and14000
Step-by-step explanation:
3x+2x+2x=49000
7x=49000
x=7000
3×7000=21000
2×7000=14000
2×7000=14000
Evaluate y=(-2)(x) + 4 when x=(-3).
Answer:
y = 10
Step-by-step explanation:
y = (-2)(x) + 4
y = (-2)(-3) + 4
y = 6 + 4
y = 10
i need help on this math problem
Which is the correct solution for the following inequality: 9 ≤ 4x + 1 < 21
2 < x < 5
2 < x < 5
2 < x < 5
2 , <, x < 5
2 < x < 5
Answer:
2<=x<5
Step-by-step explanation:
first subtract one from all pieces, then divide by four. because you never divide by a negative so switching of sides is needed. Two is less than or equal to x which is less than five.
7k -2(k+4) What is this answer?
5−8
llllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll
According to sales records at a local coffee shop, 75% of all customers like hot coffee, 30% like iced coffee, and 22% like both hot and iced coffee. The Venn diagram displays the coffee preferences of the customers.
Answer:
0.08
Step-by-step explanation:
the orange circle is all people who like iced coffee, since we want the probability of liking only iced coffee, we need to look at the part of the orange circle not overlapping with the blue circle. this is 0.08
Draw a square and its diaginals
Answer:
you cant draw......................
Step-by-step explanation:
What is the next number in the pattern?
9 4 7
—, —, — . . .
10 5 10
Answer:
3/5
The nth term of an AP = a + d(n -1)
By the looks of it, the next term in the sequence is the 4th term.
a = 9/10
d = 4/5 - 9/10 = -1/10
9/10 - 1/10(4 - 1) = 9/10 - 1/10(3)
9/10 - 3/10 = 6/10
3/5
5) Mike and Mei each improved their yards by planting daylilies and shrubs. They bought their
supplies from the same store. Mike spent $70 on 5 daylilies and 5 shrubs. Mei spent $62 on 1
daylily and 5 shrubs. Find the cost of one daylily and the cost of one shrub.
Father came home from work and saw 3/4 of a pizza in the kitchen. He ate 1/3 of what was left of the pizza. What fraction of the original pizza was left?
Answer:
3/4 means 0.75 of apizza was in the kitchen and the father ate 1/3 of the 3/4 which means 0.75÷3=0.25 the question is what fraction of pizza that was left so 0.75-0.25= 0.5 or 1/2 of apizza is left.
If Matilda answers 12 out of 15 problems correctly so far, how many will we answer correctly out of the next 25 if she continues at this rate?
Answer:
20 questions
Step-by-step explanation:
12/15 can be reduced to 4/5
you can create a ratio like the following:
4/5 = x/25
cross-multiply to get:
5x = 100
x = 20
1) f(x) = x² + 2x + 1
2) g(x) = x² + 6x + 5
3) h(x) = x² - 12x + 36
4) g(x) = 9x² + 6x + 2
5) g(x) = x² + 6x + 4
Answer:
(X+1)(X+1) (X+5)(X+1)3. (X-6)(X-6)
(4+6)/(2•1) simplified
Answer:
5
Step-by-step explanation:
trust
Answer:
(4+6)/(2•1)
(4+6=10)/(2×1=2)
10÷2
5
Find the value of x.
(8x + 2)°
60°
Y
70°
Z
Here according to angle sum property all angles sum u up 180°
So,
[tex]8x + 2 + 60 + 70 = 180 \\ 8x + 132 = 180 \\ 8x = 180 - 132 \\ 8x = 48 \\ x = \frac{48}{8} \\ x = 6[/tex]
- BRAINLIEST answerer
pls help, what is the slope of the graph?
well, let's take 2 points from it and get it :) , say let's use (4 , 5) and (-1 , 5)
[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{(4)}}}\implies \cfrac{0}{-5}\implies 0[/tex]
bearing in mind that for any horizonal line it's always 0.
An amount of $8,000 is invested at a simple interest rate
of 2%. What is the interest earned after 3 years?
Total amount after three years
= $8.360
Explanation:
Given -
Principal amount
p = $.8,000
Rate of interest
r = 1.5%
Duration
n = 3 years
Total amount after three years = Principal amount + Interest amount
Total amount after three years
= p + (pnr) = 8000 + (8000×1.5100×3) = 8000 + 360 = $8.360
Total amount after three years
= $8.360
Answer:
$8.360
Step-by-step explanation:
50 points! don't answer if you don't know! Thank You
#1 Jeanne's bank account earns interest annually. The equation shows her starting balance of $200 and her balance at the end of five years, $267.65. At what rate r did Jeanne earn interest?
r= %
(Type an integer or decimal rounded to the nearest tenth as needed.)
#2 The volume of a soap bubble is 62.3mm^3 Find the radius and diameter of the soap bubble. Use 3.14 for pie.
The radius of the bubble is about mm.
(Round to the nearest tenth as needed.)
Answer:
1. 6%
2. what is the radius of 2
Step-by-step explanation:
Answer:
#1 = Rate = 0.025
#2 = m^2
Step-by-step explanation:
#1
1. starting balance = 200
balance at the end of 4 years = 220.82
2. 200.82 = 200(1+r)^4
220.82
________ = (1 + r)^4
200
1 + r = (1.1041)^1/4
1 + r = 1.025 - 1
r = 0.025
Rate = 0.025
#2
62.3m⋅m^3=62.3m^4
3.14=62.3m^4
m⋅m=m^2
Hope this helps, have a nice day/night! :D
If it did help please mark as brainliest!
Which of these accurately describes the motion of the train?
Answer:
C
Step-by-step explanation:
For the first part, a velocity graph would show the constant velocity, and the curve represents the constant negative acceleration, which could be seen on a acceleration graph. The final part after the curve shows the 0 velocity because the position is constant.
what is 11.10 as a fraction?
Answer:
11 1/10
Step-by-step explanation:
11 is a whole nuber so then 1 over 10
Answer:
It is 11 1/10!
Step-by-step explanation:
I know this because the first thing to do here is to show you that any number can be a fraction if you use a 1 as the denominator. What we really want to do though, is get rid of the decimal places completely so that the numerator in our fraction is a whole number. To do this, we have to count the numbers after the decimal point, which in this case is 10. To get a whole fraction we need to multiply both the numerator and the denominator by 10 if there is one number after the decimal point, 100 if there are two numbers, 1,000 if it's three numbers and 10,000 if it's...well, you get the idea! In our case 10 is 2 digits long so we need to multiply the numerator and denominator by 100. Now we just need to do that multiplication to get our whole fraction! The next step is to simplify this fraction and, to do that, we need to find the greatest common factor (GCF). This is sometimes also known as:
Greatest Common Divisor (GCD)Highest Common Factor (HCF)Greatest Common Denominator (GCD)In the case of 1110/10 and 100/10, the greatest common divisor is 10. This means that to simplify the fraction we can divide by the numerator and the denominator by 10 and we get 111/10. And there you have it! In just a few short steps we have figured out what 11.10 is as a fraction. 11 1/10!