Answer:
640/(180 - x)
Step-by-step explanation:
The expression for time it takes for the plane to travel the 640 miles is 640/ (180- x).
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Let the speed of the wind be x
Speed of the plane is 180 mph
When plane flew with wind , Speed = (180+x)
When plane flew against the wind , Speed=(180-x)
Since we are given that A plane can travel 640 miles against the wind .
So, Time= Distance / speed
Time= 640/ (180 - x)
Hence, time it takes for the plane to travel the 640 miles is 640/ (180- x)
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To the nearest tenth, find the approximate distance between points A and C. Graph with coordinates A negative 4, negative 4. B negative 2, 5. C 2, 1. D 2, negative 4.
A. 3.3 units
B. 7.8 units
C. 5.2 units
D. 3.6 units
PLEASE HELP!!!!!
Jack is trying to figure out a rule for this table. He comes to the conclusion that the rule is f(x)= 3x. Why is Jack's rule incorrect?
Which expression represents the multiplicative inverse of -9/7
A. -7/9
B. 9/7
C. 7/9
D. -9/7
Answer:
-7/9Step-by-step explanation:
To find a multiplicative inverse, switch the numerator and denominator in the fraction. The sign stays the same. In this problem, we have -9/7. Switching the numerator and denominator, we get -7/9.
I am always happy to help :)
Will give brainliest. How long is this side?
A nurse has an annual income of $48,752 the income taxes to 20% rate what is the amount of the nurses income tax in dollars and cents
Please help me with these. You'll be respected forever. I really need help with these.
a) please write 5.(6) % as a common fraction or a mixed number. The (6) is repeated.
b) Eight pounds of peanuts cost $24.00. Six pounds of walnuts cost half as much. Which is more expensive and by how much?
c) Eight pounds of peanuts cost $24.00. Six pounds of walnuts cost half as much. How much will Jim pay for 3 lbs of peanuts and 6 lbs of walnuts?
d) Write “four hundred dollars and seventy two cents”... as a fraction (and then reduce).
I will give brainliest if correct. Thanks.
Answer:
b) Peanuts, $1 per lb
c) $21
Step-by-step explanation:
b)
Peanuts= 12*2=$24
Walnuts= 6*2=$12
1 lb of peanut= 3 lb
1 lb of walnut= 2 lb
24 is greater than 12
3-2=1
$1 greater per lb
c)
1 lb of peanut= 3 lb
1 lb of walnut= 2 lb
3*3=9
2*6=12
9+12= $21
Sorry I only figured out b and c :(
i needs help ........ .
Les drew the number line shown to add 2.5 + (–25). He says the sum is 22.5.
Which is a correct description of his work?
A. His number line is correct, and the correct sum is 22.5.
B. Les should have started at 0, moved right to 2.5, and then moved left to –25. The correct sum is –23.5.
C. Les should have started at 0, moved right to 2.5, and then moved left 25 units. The correct sum is –22.5.
D. The correct sum is 22.5, but his number line is incorrect. Les should have started at 0, moved left to –2.5, and then moved right 25 units.
Answer:
Answer = c
Step-by-step explanation:
The table shows the results of spinning a spinner several times. (Don’t mind my answer)
The experimental probability of spinning a B or a C is [tex]\( \frac{1}{4} \)[/tex].
To find the experimental probability of spinning a B or a C, we need to sum up the frequencies of outcomes B and C and then divide that by the total number of spins.
Given frequencies:
Outcome A: 3
Outcome B: 2
Outcome C: 1
Outcome D: 4
Outcome E: 2
Total frequency of B and C: 2 (from outcome B) + 1 (from outcome C) = 3
Total number of spins: Sum of all frequencies = 3 + 2 + 1 + 4 + 2 = 12
Experimental probability of spinning a B or a C: [tex]\(\frac{\text{Total frequency of B and C}}{\text{Total number of spins}} = \frac{3}{12} = \frac{1}{4}\)[/tex]
So, the experimental probability of spinning a B or a C is [tex]\(\frac{1}{4}\)[/tex].
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Find the variance and standard Deviation of the probability distribution of the random variable x, which can take the values 1,2,3 given that p(1) = 10/33 p(2) = 1/3 p(3) =12/33?
Which rule matches the function graphed below?
y = x + 3
y = x - 4
y = x - 3
y = x + 4
Which system of equation can represent the equation?
Answer:
A on edge 2021
Step-by-step explanation:
When Sally went bowling her scores were 108, 72, and 95. If she bowls a 4th game, what will her score need to be to give her an average of 91?
To achieve an average score of 91, Sally needs to bowl an 89 in her fourth game, calculated by subtracting her current total score of 275 from the desired total of 364 points.
To calculate the score Sally needs in her fourth game to achieve an average of 91, we first need to determine the total points she needs after four games. We can calculate the required total points by multiplying the desired average score by the number of games:
91 × 4 = 364 total points
Next, we add up the scores from Sally's first three games:
108 + 72 + 95 = 275 points
Finally, we subtract the sum of her first three games from the total required points to find the score Sally needs in her fourth game:
364 - 275 = 89 points
Therefore, Sally needs to bowl a score of 89 in her fourth game to achieve an average of 91.
11499 round to the nearest thousand
A new patio will be an irregular hexagon. The patio will have two long parallel sides and an area of 360 square feet. The area of a geometrically similar patio is 250 square feet, and it’s long parallel sides are 12.5 feet apart. What is the corresponding distance on the new patio
how many times greater is one hour than one minutes
What is the size of the obtuse angle CBA
Answer:
[tex]m<CBA=102\°[/tex]
Step-by-step explanation:
we know that
The internal angle of an equilateral triangle is equal to [tex]60\°[/tex]
The internal angle of a square is equal to [tex]90\°[/tex]
To find the internal angle of a regular pentagon, apply the formula
[tex]S=[(n-2)180\°]/n[/tex]
where
n is the number of sides (n=5)
substitute
[tex]S=[(5-2)180\°]/5=108\°[/tex]
therefore
In this problem
[tex]m<CBA+60\°+90\°+108\°=360\°[/tex]
[tex]m<CBA+258\°=360\°[/tex]
[tex]m<CBA=360\°-258\°=102\°[/tex]
Justin is exchanging dollars for rolls of quarters and rolls of dimes at a bank. Each roll of quarters has a value of $10 and each roll of dimes has a value of $5. He exchanges $90 and receives 11 rolls of coins. How many of each type of roll of coins did he receive?
Answer:
Justin got 7 rolls of quarters and 4 rolls of dimes.
Step-by-step explanation:
Let the roll of quarters be x
Let the rolls of dimes be y
As total money received is $90, the equation becomes;
[tex]10x+5y=90[/tex] .....(1)
And he got 11 roll of coins, so equation becomes;
[tex]x+y=11[/tex] or [tex]x=11-y[/tex] .... (2)
Substituting the value of x from (2) in (1)
[tex]10(11-y)+5y=90[/tex]
[tex]=> 110-10y+5y=90[/tex]
[tex]=> -5y=-110+90[/tex]
[tex]=> -5y=-20[/tex]
So, y = 4
As [tex]x=11-y[/tex]
So, [tex]x=11-4[/tex]
x = 7
Hence, Justin got 7 rolls of quarters and 4 rolls of dimes.
Which decimal has the greatest value0.0005, 0.5 or 0.05 ?
The weather report says there is an 85% chance it will be very hot tomorrow. Should you get ready to use the air conditioner? Explain.
Based on the 85% chance of very hot weather, it is reasonable to prepare to use the air conditioner. Weather forecasts with high probabilities can guide us in making practical preparation decisions for comfort and safety.
The weather report indicates there is an 85% chance that it will be very hot tomorrow. Given this high probability, it would be reasonable for you to prepare to use the air conditioner. Decisions based on weather forecasts often involve considering the likelihood of different outcomes and planning accordingly.
Weather is the atmospheric conditions at a particular place over a short period of time, and preparing for it helps us manage daily activities and comfort levels. When the probability of a specific weather event, such as extreme heat, is high, it is generally wise to prepare for that scenario. By planning to use the air conditioner, you can ensure you're able to maintain a comfortable environment during the hot weather.
How many cubic centimeters of water can this paper cone cup hold?
To determine the number of cubic centimeters of water that the paper cone cup can hold, calculate the volume using the formula for the volume of a cone, and then convert it to cubic centimeters.
Explanation:To calculate the number of cubic centimeters of water the paper cone cup can hold, we need to first determine its volume. The volume of a cone can be calculated using the formula V = (1/3) π r² h, where V is the volume, π is the mathematical constant pi, r is the radius of the base of the cone, and h is the height of the cone.
Once we have the volume of the cone, we can convert it to cubic centimeters since the dimensions given are in centimeters. Finally, we can determine the number of cubic centimeters of water the paper cone cup can hold.
For example, if the cone has a radius of 5 cm and a height of 10 cm, the volume would be:
V = (1/3) π (5 cm)² (10 cm)
V = (1/3) π (25 cm²) (10 cm)
V = (1/3) π (250 cm³)
V ≈ 261.79 cm³
Therefore, the paper cone cup can hold approximately 261.79 cubic centimeters of water.
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48 pounds are equal to approximately _______ kg.
Evaluate the expression 7x2y, when x = 4 and y = 2. 112 224 542 718
224 will be your answer
7 x^2 y
7 (4 ^2) 2=?
4x4=16
16x 7= 112
112x2 =224
the stem and leaf plot below shows the number of points scored in each basketball game a team played during a season in how many games were more than 40 points scored?
|Stem | Leaf|
| 6 | 1 6 7|
| 5 |2 2 8|
| 4 |4 5 8 9|
| 3 |0 2 6 6 6|
| 2 | 0 8 |
A. 4
B. 6
C. 7
D. 10
The Lin family has a fish tank
Answer: And... what about the fish tank can you give more detail?
Step-by-step explanation:
17 is the sum of a number and 6 write this in an equation for the word sentence.
what is the sum of the polynomials
(-x^2+9)+(-3x^2-11x+4).
• -4x^2-2x+4
• -4x^2-11x+13
• 2x^2+20x+4
• 2x^2+11x+5
The sum of the given polynomials is -4x²-11x+13. Therefore, option B is the correct answer.
What is addition of algebraic expression?Addition of Algebraic Expressions is the process of collecting like terms and adding them. Identify and add the coefficients of like terms and sum them to find the final expression of given problems.
Given that, (-x²+9)+(-3x²-11x+4).
Here, -x²+9-3x²-11x+4
= (-x²-3x²)-11x+9+4
= -4x²-11x+13
Therefore, option B is the correct answer.
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Sam intends to roll a six sided cube 100 times. What is the probability model he can use to predict whether or not each roll will give a result that is not a prime number?
The outcomes of rolling fair six sided die is [tex] \{1,2,3,4,5,6\} [/tex]. The prime numbers in the above outcomes are [tex] \{2,3,5\} [/tex]. The probability of not rolling a prime number is [tex] p=\frac{3}{6}= 0.5 [/tex].
Each trial is independent.
In the given experiment of 100 trials, the binomial probability model can be used to predict the number of occurrence of non-prime numbers (X). The probability mass function is
[tex] P(X=x)=C(100,x)p^x(1-p)^{100-x},x=0,1,2,3,...,100 [/tex]. Since [tex] p=0.5,1-p=0.5 [/tex]
[tex] P(X=x)=C(100,x)0.5^x(0.5)^{100-x},x=0,1,2,3,...,100 \\
P(X=x)=C(100,x)(0.5)^{100},x=0,1,2,3,...,100 [/tex]
What is the quotient in polynomial form?
Two classes have a total of 50 students. One of the classes has 6 more students than the other. How many students are in the larger class?