Answer:
B. $257.82 and $272.18
Step-by-step explanation:
PLATO USERS
A plane flies against the wind 288 miles from Los Angeles to San Jose and then returns home with the same wind. The wind speed is 60 mph. If the total flying time was 2 hours, what is the speed of the plane?
Answer:
The speed of the airplane is 300 miles per hour.
Step-by-step explanation:
Let consider that plane travels at constant speed, which is the sum of the velocity of the plane in still air (velocity of the plane relative to wind) and the velocity of the wind. Hence, the total time spent by the plane is described by following kinematic formula:
[tex]t = s\cdot \left(\frac{1}{v_{P}-v_{W}}+\frac{1}{v_{P}+v_{W}} \right)[/tex] (1)
Where:
[tex]t[/tex] - Total time, in hours.
[tex]s[/tex] - Distance between Los Angeles and San Jose, in miles.
[tex]v_{P}[/tex] - Velocity of the plane in still air, in miles per hour.
[tex]v_{W}[/tex] - Velocity of the wind, in miles per hour.
Then, we proceed to simplify the formula and clear the speed of the plane in still air:
[tex]\frac{t}{s} = \frac{2\cdot v_{P}}{v_{P}^{2}-v_{W}^{2}}[/tex]
[tex]\left(\frac{t}{s}\right)\cdot (v_{P}^{2}-v_{W}^{2}) = 2\cdot v_{P}[/tex]
[tex]\left(\frac{t}{s} \right)\cdot v_{P}^{2} - 2\cdot v_{P}- \left(\frac{t}{s} \right)\cdot v_{W}^{2} = 0[/tex]
Which is a Second Order Polynomial, whose roots can be found analytically by Quadratic Formula. If we know that [tex]t = 2\,h[/tex], [tex]s = 288\,mi[/tex] and [tex]v_{W} = 60\,\frac{mi}{h}[/tex], then we have the following polynomial:
[tex]\frac{1}{144}\cdot v_{P}^{2}-2\cdot v_{P} -25 = 0[/tex]
The two roots associated with this polynomial are, respectively:
[tex]v_{P,1} = 300\,\frac{mi}{h}[/tex], [tex]v_{P,2} = -12\,\frac{mi}{h}[/tex]
Since speed is the magnitude of velocity, then solution must be positive. First root satisfies all these conditions.
In a nutshell, the speed of the airplane is 300 miles per hour.
A cook places two thirds of a pound of garlic powder in a plastic container. This occupies one third of the space in the container. How much pounds of a powder can be stored in this container?
Answer:
1
Step-by-step explanation:
Add e
Number of pounds of a powder that can be stored in the container is 2 pounds.
What are Fractions?Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.
Here, a is called the numerator and b is called the denominator.
Given that,
Number of pounds of garlic powder placed in container = 2/3 pound
This is equal to one third of the total space in the container.
So, we can write this as,
Number of pounds of powder in 1/3 space = 2/3 pounds
Number of pounds of powder in 1 full space = 2/3 ÷ 1/3
= 2/3 × 3 (by reciprocal rule)
= 2 pounds
Hence 2 pounds can be stored in the full container.
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Bianca bought a pack of rechargeable batteries for
$9.99. If the sales tax on the batteries is 3% and Bianca
pays with $11 cash, how much change will she get back?
Answer:
$0.71
Step-by-step explanation:
Find the cost with sales tax
9.99(1.03)
= 10.29
Subtract this from 11
11 - 10.29
= 0.71
So, Bianca will get $0.71 back in change
Answer: 0.71 cents
Step-by-step explanation:
9.99x0.03=0.2997
9.99+0.2997=10.2897 rounds to 10.29
11-10.29=0.71
Find the number to add to x^2+14x to make it a perfect square trinomial. Write that trinomial as the square of a binomial.
Answer:
The number is 13[tex] {x}^{2} + 14x + 13 \\ (x + 13)(x + 1)[/tex]
Step-by-step explanation:
I hope that is useful for you :)
Answer:
Step-by-step explanation:
William is making a pie. He uses 1/2 cup of blueberries and 2/3 cup of raspberries. What is the total amount of berries in William’s pies? *
1 point
3/5 cup
2/6 cup
one and 1/6 cups
3/6 cup
Helpppp me plzzzzzzz ALSO IM SERIOUS NO FILESSSSSSSS!!!! PLESE SOME ONE HELP ME
Answer:
one and 1/6 cups (1 1/6)
Step-by-step explanation:
2/3 + 1/2
TOTAL means addition.
To add 2/3 and 1/2, we must first find the lowest common denominator (LCD).
The denominator of 2/3 is 3.
The denominator of 1/2 is 2.
Now, we list the multiples of the denominator and find the lowest multiple they have in common.
3: 3, 6, 9, 12, 15
2: 2, 4, 6, 8, 10
The lowest number they have in common is 6.
Second, we change the denominators to 6.
In 2/3, to make 3 into 6, we have to multiply it by 2.
Since we're multiplying the denominator by 2, the numerator will be multiplied by 2 as well.
2/3 x 2/2 = 4/6
Now we do the same for 1/2.
1/2 x 3/3 = 3/6
Now, we add the new fractions.
4/6 + 3/6 = 7/6
7/6 = 1 1/6 (one and 1/6 cups).
Convert 5/3 into a ratio
Answer:
5:3
Step-by-step explanation:
step one: reduce the fraction
(since 5/3 is a reduced as it can get we can 'skip' this step)
step two: rewrite as a ratio
5/3
=5 : 3
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
if you have 2 different slopes what is true about the slopes
Answer:
Step-by-step explanation:
If two lines have different slopes, they cannot be the same line. If they share a y-intercept, that means they cross the y -axis at the same y value. If they share an x value and corresponding y value, they intersect at that point, in this case their y-intercept.
Hope this helped!!
Please help I have to turn it in at 11:30
Answer/Step-by-step explanation:
3. Volume = l*w*h = 1*3*1 = 3 ft³
Surface area = 2(lw + wh + lh) = 2(1*3 + 3*1 + 1*1) = 14 ft²
4. V = 216 cm³
w = 6 cm
l = 12 cm
h = ?
V = l*w*h
Plug in the given values and find h
216 = 12*6*h
216 = 72*h
216/72 = h
h = 3
Surface area = 2(lw + wh + lh)
= 2(12*6 + 6*3 + 12*3) = 252 cm²
5. V = 120 m³
h = 4 m
l = 5 m
w = ?
V = lwh
Plug in the given values
120 = 5*w*4
120 = 20*w
120/20 = w
w = 6 m
Surface area = 2(lw + wh + lh)
= 2(5*6 + 6*4 + 5*4)
= 148 m²
6. V = 726 in³
h = 11 in
w = 33 in.
l = ?
V = lwh
Plug in the values
726 = l*33*11
726 = l*363
726/363 = l
l = 2 in
Surface area = 2(lw + wh + lh)
= 2(2*33 + 33*11 + 2*11)
= 902 in²
It takes Andre 4 minutes to swim five laps, if Andre swims 22 laps, at the same rate as she swam 5 laps, how long does it take him?
Answer:
17.6
Step-by-step explanation:
But im not sure if u can use decimals
The slope of the line below is 3. Write the point-slope equation for the line
using the coordinates of the labeled point. (6’8)
Answer:
y - 8 = 3(x - 6)
Step-by-step explanation:
Point slope-equation formula:
y - y1 = m(x - x1)
y - 8 = 3(x - 6)
GIVING OUT BRAINLIEST ANSWER HELP ME OUT PLEASEE !!!
Answer:
C.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
This figure is made up of unit cubes , each with a volume of 1 cubic unit . What is the volume of the figure
Answer:
Easy! The answer is 100!
Count how many cubes are in each row, which is 10. Count how many stacks are there, which is also 10. 10 times 10 = 100!
Step-by-step explanation:
Answer:
r
Step-by-step explanation:
obtuse is to more than 90° as reflex is to
9514 1404 393
Answer:
>180° (more than 180°)
Step-by-step explanation:
Angles are classified as ...
acute: < 90°right: = 90°obtuse: > 90°straight/linear: = 180°reflex: > 180°It seems that we're looking at definitions:
obtuse : >90° :: reflex : >180°
Carmen's father is 28 years older than her and 3 years ago he was 5 times her age. What are their ages?
28-3=25
so 25/5=5
she is 5 year old
50 POINTS Vanessa has 6 dimes and 2 pennies. Joachim has 1 dollar, 3 dimes, and 5 pennies. Jimmy has 5 dollars and 7 pennies. They want to put their money together to buy a game that costs $8.00. Do they have enough money to buy the game? If not, how much more money do they need? SHOW WORK
Vanessa: a dime = 10 cents = 0.10
A penny = 1 cent = 0.01
6 x 0.10 = 0.60
2 x 0.01 = 0.02
Total = 0.60 + 0.02 = 0.62
Joachim : a dollar = 1.00
3 x 0.10 = 0.30
5 x 0.01 = 0.05
Total = 1.00 + 0.30 + 0.05 = 1.35
Jimmy: total = 5.00 + 0.07 = 5.07
Total of all 3: 0.62 + 1.35 + 5.07 = $7.04
This is less than $8 so they don’t have enough.
They need: 8.00 - 7.04 = $0.96 more
Answer:they need more money
Step-by-step explanation: they need 96 more cents
look at pic 10 pts will mark brainilest
Answer:
A) The width is 12 cm; the average time is 3 minutes
Step-by-step explanation:
[tex]\frac{5}{3}= \frac{20}{y}[/tex]
Cross multiply.
5 × y = 3 × 20
5y = 60
5y ÷ 5 = 60 ÷ 5
y = 12
The width is 12 cm. Moving onto the time.
[tex]\frac{12}{4} =\frac{y}{1}[/tex]
Cross multiply.
4 × y = 12 × 1
4y = 12
4y ÷ 4 = 12 ÷ 4
y = 3
The time is 3 minutes.
Answer:
answer is d sorry if I'm wrong
Plz hurry 100 points
Answer:
Step-by-step explanation:
1575 ÷ 14 = 112 remainder 7
Answer:
The manager can fill 112 bags with 7 rocks leftover
Step-by-step explanation:
The equation is 1575/14 or 1575 divided by 14. This is equal to 112 remainder 7. Therefore, the answer the manager can fill 112 bags with 7 rocks leftover.
your closet floor is 90 inches wide and 3 times as long what is the perimeter and area of your closet floor
Answer: 270
Step-by-step explanation:
90x3=270
Answer:
I mean
Step-by-step explanation:
Just multiply 90 by 3 since it says that it's THREE times as long. Btw you would get 270! So this should help! Well I guess you have to add another 90 to get the area of the closet. Don't quote me on that.
A bird fountain is located 6 m from the base of Joey's apartment building. From his window, Joey can see it at a 51° angle of depression.
To the nearest tenth of a meter, how far up the building is Joey's window?
Question 5 options:
4.9 m
7.4 m
7.7 m
9.5 m
Answer:
h = 7.4 m
Step-by-step explanation:
Given that,
A bird fountain is located 6 m from the base of Joey's apartment building.
The angle of depression is 51°.
Let Joey's window is at a distance of h from the building. Using trigonometry to find it such that,
[tex]\tan\theta=\dfrac{h}{6}\\\\\tan(51)=\dfrac{h}{6}\\\\h=6\times \tan(51)\\\\h=7.4\ m[/tex]
So, the correct option is equal to (b).
Answer: 7.4 m
Step-by-step explanation:
I just took the test
What is the statement written as an equation
Answer:
3x+2=17 is the equation and x=5
Step-by-step explanation:
Answer:
Equation: 2 + 3x = 17
x = 5
Step-by-step explanation:
2 more than means: 2 +
3 times a number means: 3x
Is 17 means: = 17
Combine them all together:
2 + 3x = 17
Find x:
2 + 3x = 17
3x = 17 - 2
3x = 15
x = 5
Enter the data to create a histogram. Then select the correct answer. hours 3 4 4 2 5 416 6 5 Faizah keeps track of the hours she practices. O The histogram is not symmetrical O The histogram is symmetrical. O The data are not evenly distributed O The left side of the graph is not the mirror image of the right side of the graph.
Through the use of the data given, the histogram can be classified as the histogram is not symmetrical.
When is histogram not symmetrical?The histogram is not symmetrical if it is or has skewed distribution.
This is said to be when a distribution is said to not have any mirror-imaging. and as such, through the use of the data given, the histogram can be classified as the histogram is not symmetrical.
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Acone has a volume of 967 cubic feet. If the radius is 6
feet, what is the height of the cone?
Answer:
25.65
Step-by-step explanation:
2345621874+9863412689
Answer:
12209034563 will be your answer.
Step-by-step explanation:
just add it.
Answer:
WAT TIME IS IT? IT TIME 2 USE DA CALCULATOR.
12209034563
more info can be giving on usecalculator.com
Step-by-step explanation:
help me..................
Answer:
while looking ata number for example 1234, 1 is the thousands place 2 is the hundreds place 3 is the tenths place and 4 is the ones place
Step-by-step explanation:
1 is the thousands place because 1234 is a number consisting of 1000 so 1 in 1234 is the thousnads place and if we keep going youll see that its pretty easy from there
Just solve this for my friend, can u
Simplyfy 192/-168
Answer:
-8/7 is your simplified answer :)
Step-by-step explanation:
Have a nice day <3
solve for x. (16x + 23)°
Find the median of the data in the dot plot below.
Answer: 3 4 4 5 5 5 5 7 7
Step-by-step explanation:
your answer is 5 because 5 is the number in the middle
If 5 children share 1/3 pound of candy equally, how much candy will each child get?
Answer:
Each child will receive [tex]\frac{1}{15}[/tex] of a pound
Step-by-step explanation:
[tex]\frac{1}{5*3}[/tex]
Find the surface area of the prism.
Answer:
The surface area of the prism is 386m²
Step-by-step explanation:
The surface area of a box is equal to the sum of the areas of each side of the box.
[tex]2 \times (lenght) \times (widht) + 2 \times (lenght) \times (height) + 2 \times (width) \times (height)[/tex]
Substitute the values of the length l=15, the width w=7, and the height h=4 into the formula.
[tex]2 \times 15 \times 7 + 2 \times 15 \times 4 + 2 \times 7 \times 4[/tex]
Simplify each term.
[tex]210 + 120 + 56[/tex]
Simplify by adding numbers.
[tex]386m ^{2} [/tex]
Hence, the Surface area of this prism is 386m².
Brandon is rolling two six-sided dice. What is the probability that one die lands on an even number and the other die lands on an odd number?
Answer:
50-50 on both because there 3 even and 3 odd numbers
Answer:
50% chance of either or 1/2
Step-by-step explanation:
50% of either
Look a die has 12 sides
6 numbers are odd and the other 6 even
If you randomly roll a die you will have 6/12 chances of landing on a even number and a 6/12 chance of landing on a odd number
now 6/12 can be simplified to 1/2 which is 50%
Hope that helps!
