Answer:
The speed of the plane in still air is 590 mph
The speed of the wind is 20 mph
Step-by-step explanation:
Let's call:
x = Speed of the plane in still air
y = Speed of the wind
The plane traveled d=4575 miles with the wind in t=7.5 h. The speed calculated with this data corresponds to the sum of the speed of the plane and the speed of the wind, thus:
[tex]\displaystyle x+y=\frac{4575}{7.5}=610[/tex]
x + y = 610 [1]
The plane traveled 4275 miles in 7.5 hours against the wind, thus the speed calculated is x - y:
[tex]\displaystyle x-y=\frac{4275}{7.5}=570[/tex]
x - y = 570 [2]
Adding [1] and [2]:
2x = 610 + 570 = 1180
x = 1180 / 2 = 590
From [1]:
y = 610 - 590 = 20
The speed of the plane in still air is 590 mph
The speed of the wind is 20 mph
A teacher is making multiple copies of a 1−page homework assignment. The time it takes her in seconds based on the number of copies she makes is 5 times the number of copies plus 6. How many total seconds does it take the teacher to make 1 copy? How about 2 copies or 3 copies? By how many seconds does the total time increase for each copy?
Answer: I'm on it give me just a minute!!
Geraldo has 3 fewer marbles than Yan. Together, they have 21 marbles. Which equation
represents this situation?
x + (3 - x) = 21, where x is the number of marbles Geraldo has
x + (3 - x) = 21, where x is the number of marbles Yan has
x + (x - 3) = 21, where x is the number of marbles Yan has
x + (x - 3) = 21, where x is the number of marbles Geraldo has
Done
My Progress >
Answer:
x + (x-3) = 21
x + x - 3 = 21
2 x - 3 = 21
Explanation:
In this problem, let us first analyze the situation. It says here that Geraldo and Yan both had marbles of their own. The problem states that together, they have a total of 21 marbles. However, we know here from the problem that they have different number of marbles each. Geraldo seems to have lesser number of marbles than Yan. Yan have three marbles more than Geraldo.
We can write the equation starting from assigning the unknown.
We'll use x.
x is the number of marbles that Yan have.
if x is Yan's, then, we can say that x-3 is Geraldo's.
Put them together into the equation.
Yan's plus Geraldo's is equal to 21.
Substitute using the represented unknowns.
x + (x-3) = 21.
In solving, we can also rule out that:
x + x - 3 = 21
2 x - 3 = 21
2 x = 21 + 3
2 x = 24
x = 12
x - 3 = 9
Yan has 12 marbles
and Geraldo has 9 marbles.
Answer: X+(X-3)=21 or C
Graph a line with a slope of
−
2
5
−
5
2
minus, start fraction, 2, divided by, 5, end fraction that contains the point
(
−
3
,
5
)
(−3,5)
8x^(2)+16x=42 completeing the square
50 points, need help ASAP
Solve this system of equations, then determine what y equals.
x + 5y= 7
2x + 4y = -4
y=-18
y=3
y=8
y=-8
Answer: [tex]y = 3[/tex]
1. First, solve for unknown x.
[tex](x+5y=7)2[/tex]
2. Balance the equation.
[tex]2x+10y=14[/tex]
[tex]\mathrm {2x + 4y = -4}[/tex]
3. Now, we subtract.
[tex]6y = 18[/tex]
[tex]6[/tex] × [tex]3 = 18[/tex]
4. Finally, divide.
[tex]18/6=3[/tex]
Yomaro is buying soil for his garden. He needs to fill one pot with 2 quarts of soil and another pot with 2 gallons of soil. How many quarts of soil does he need
in all?
Answer:
10 quarts
Step-by-step explanation:
Since one, 4 quarts = 1 gallon,
he needs (2*4)+2 quarts= 10 quarts of soil
The maximum cost is $35. what is inequality. that's the question, i didn't write this
If y= 1-x+x²/1+x-x² than how about y'=?
This question is about derived function.
Answer:
as
[tex]\frac{d}{dx}\left(1-x+\frac{x^2}{1}+x-x^2\right)=0[/tex]
so
[tex]y'=0[/tex]
Step-by-step explanation:
Given the function
[tex]y=\:1-x+\frac{x^2}{1}+x-x^2[/tex]
Taking derivative
[tex]\frac{d}{dx}\left(1-x+\frac{x^2}{1}+x-x^2\right)[/tex]
[tex]\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'[/tex]
[tex]=\frac{d}{dx}\left(1\right)-\frac{d}{dx}\left(x\right)+\frac{d}{dx}\left(\frac{x^2}{1}\right)+\frac{d}{dx}\left(x\right)-\frac{d}{dx}\left(x^2\right)[/tex]
as
[tex]\frac{d}{dx}\left(1\right)=0[/tex] ∵ [tex]\mathrm{Derivative\:of\:a\:constant}:\quad \frac{d}{dx}\left(a\right)=0[/tex]
[tex]\frac{d}{dx}\left(x\right)=1[/tex] ∵ [tex]\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dx}\left(x\right)=1[/tex]
[tex]\frac{d}{dx}\left(\frac{x^2}{1}\right)=2x[/tex] ∵ [tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}[/tex]
[tex]\frac{d}{dx}\left(x\right)=1[/tex] ∵ [tex]\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dx}\left(x\right)=1[/tex]
[tex]\frac{d}{dx}\left(\frac{x^2}{1}\right)=2x[/tex] ∵ [tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}[/tex]
substituting all the values in the expression
[tex]=\frac{d}{dx}\left(1\right)-\frac{d}{dx}\left(x\right)+\frac{d}{dx}\left(\frac{x^2}{1}\right)+\frac{d}{dx}\left(x\right)-\frac{d}{dx}\left(x^2\right)[/tex]
[tex]=0-1+2x+1-2x[/tex]
[tex]=0[/tex]
Hence,
[tex]\frac{d}{dx}\left(1-x+\frac{x^2}{1}+x-x^2\right)=0[/tex]
Therefore,
[tex]y'=0[/tex]
Michael spent $210 on school supplies and books. This amount was 30% of his savings.
How much was his savings?
Find the slope of the line through the
given points: (5,-4) & (-1,-4).
Answer:
m=0
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
Since -4-(-4)=0, we know that the slope has to be zero since the numerator is zero.
HTH :)
4272/6 use partial qutiants to divide
Answer:
712
Step-by-step explanation:
[tex]4272/6= 4200/6+72/6\\4272/6= 700 +12\\4272/6=712[/tex]
Hope this helps :D
Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 15 gallons of fuel, the airplane weighs 1984 pounds. When carrying 40 gallons of fuel, it weighs 2124 pounds. How much does the airplane weigh if it is carrying 50 gallons of fuel?
What is the approximate value of x? Round to the nearest tenth
Answer:
10
Step-by-step explanation:
Starling Co. is considering disposing of a machine with a book value of $12,500 and estimated remaining life of five years. The old machine can be sold for $1,500. A new
high-speed machine can be purchased at a cost of $25,000. It will have a useful life of five years and no residual value. It is estimated that the annual variable
manufacturing costs will be reduced from $26,000 to $23,500 if the new machine is purchased. The total net differential increase or decrease in income for the new
equipment for the entire five years is
Oa. decrease of S11,000
Ob. increase of $15,000
Oc decrease of S15,000
Od. increase of $11,000
Chris has a collection of dimes and quarters worth $4.25. If she has 22 coins total, how many quarters does she have?
Given:
Chris has a collection of dimes and quarters worth $4.25.
To number of coins = 22
To find:
The number of quarters.
Solution:
Let x be the number of dimes and y be the number of quarters.
Total coins : [tex]x+y=22[/tex] ...(i)
we know that, 1 dime = $0.10 and 1 quarter = $0.25.
Total value : [tex]0.10x+0.25y=4.25[/tex] ...(ii)
Multiply equation (i) by 0.10 and subtract the result form (ii).
[tex]0.10x+0.25y-0.10(x+y)=4.25-0.10(22)[/tex]
[tex]0.10x+0.25y-0.10x-0.10y=4.25-2.20[/tex]
[tex]0.15y=2.05[/tex]
Divide both sides by 0.15.
[tex]y=\dfrac{2.05}{0.15}[/tex]
[tex]y=13.6667[/tex]
Number of quarter cannot be a decimal value.
[tex]y\approx 17[/tex]
Therefore, the number of quarter is about 17.
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Answer:
yes
Step-by-step explanation:
3y + 6x + 2x + 7y
simply the given expression
Answer:
so the answer is 8x+10y
Step-by-step explanation:
since we have to combine like terms like
3y+7y = 10y
and 6x + 2x= 8x
hope this helps!1
The equation 9 y minus 12 x = 36 is written in standard form. What is the first step when writing an equivalent equation which solves for y?
Answer:
9y-12x=36
9y=36+12x
y=(36+12x)÷9
Answer: y=8 and x=3
Example: Because 9*8=72 and 12*3=36
72-36=36
Find the lcm for 96 and 24
Answer: 96
Step-by-step explanation:
Brandon enters bike races.
He bikes 8 /2 miles every 1/2 hour.
How fast did he go
Answer:
He goes 8 miles an hour
Step-by-step explanation:
8/2 is equal to 4. If Brandon bikes 4 miles in half an hour and keeps a constant speed he ends up biking 8 miles in an hour since two halves of an hour make one.
Item 2
Multiply. Write the answer in simplest form.
3/7×1/4=
Answer:
in multiplication we just multiply
Step-by-step explanation:
3/7×1/4
3/28
Two scuba divers are swimming below sea level. The locations of the divers can be represented by -30 feet and -42 feet. Which measure represents the location that is closest to sea level.
Answer:
-30 feet
Step-by-step explanation:
it is -30 feet because that one is closest to sea level because -42 feet is -12 feet more than -30 feet. plsss give me brainliest plssss
What is the value of x?
Enter your answer in the box
672
X=
D
60°
х
Basic
45°
А.
B
9514 1404 393
Answer:
x = 3
Step-by-step explanation:
It is convenient to remember the ratios of side lengths of these "special triangles."
The side ratios of ΔABC are 1 : 1 : √2, so BC = AC/√2 = 6.
The side ratios of ΔBCD are 1 : √3 : 2, so BD = BC/2 = 6/2 = 3.
The value of x is 3.
PLEASE HELP!!!!!
Find AB and M
Answer:
Step-by-step explanation:
triangle ABC is an equilateral so all angles and sides are equal to each other
AB = 6
triangle DEF is an isosceles so two of its angles are equal to each other
a triangles angles add up to 180°
to find the measure of these angles we’ll write this equation:
x + x + 40 = 180
and solve for x
2x + 40 = 180
2x = 140
x = 70°
so mF is 70°
Triangle A has side lengths 3, 4, and 5. Triangle B has side lengths 6, 7, and 8.
1. Explain how you know that Triangle B is not similar to Triangle A.
2. Give possible side lengths for Triangle B so that it is similar to Triangle A.
9514 1404 393
Answer:
side lengths are not proportional6, 8, 10Step-by-step explanation:
1. The triangles are not similar because the ratios of side lengths are not the same:
3 : 4 : 5 ≠ 6 : 7 : 8
__
2. We can make the ratios be the same by multiplying the side lengths by a common value, such as 2:
3 : 4 : 5 = 6 : 8 : 10
If triangle B had side lengths of 6, 8, 10, then it would be similar to triangle A.
Find the unit rate. 12 laps in 30minutes.
Asking for fraction
Answer:
4/10 maybe cuz 12 divided by 30 is 0.4 and 0.4 would be 4/10
A= 20 square root of 2
B= 5
C=20
D=10
Will give brainliest!!!!
Explain how solving -7y > 161 is different from solving 7y > -161.
To solve -7y > 161, we divide both sides by -7 and we get y < -23. The inequality sign flipped because we divided both sides by a negative number.
To solve 7y > -161, we divide both sides by 7 and it leads to y > -23. The inequality sign does not flip in this case, because we are not dividing both sides by a negative number.
The similarities is that we end up with -23 on the right side, but the inequality signs are different.
What is the area, height, and base of this triangle?
Carl's mom sent him to the store to buy salt for the recipes. She is making two pumpkin pies and 1 five pound turkey. How much salt will she
need?
1 teaspoon salt is required.