Answer: A. Wind is 29 mph
Step-by-step explanation:
We can define:
Sp = speed of the plane
Sw = speed of the wind.
When the plane travels in the same direction that the wind flows, we can write the total speed as:
S = Sp + Sw
And when the plane travels against the flow of the wind, we can write:
S = Sp - Sw.
Now, we have the relation:
Distance = Speed*Time.
We know that:
Distance = 696 mi.
"The trip there was with the wind. It took 6 hours. "
then:
696mi = (Sp + Sw)*6h
"The trip back was into the wind. The trip back took 12 hours."
696mi = (Sp - Sw)*12h.
Then we have the system of equations:
696mi = (Sp + Sw)*6h
696mi = (Sp - Sw)*12h.
First, let's isolate one of the variables in one of the equations, i will isolate Sp in the first eq:
696mi/6h = Sp + Sw
116 mph - Sw = Sp.
Now we can replace this into the other equation:
696mi = (116mph - Sw - Sw)*12h
Let's solve this for Sw, that is the value that we want to find:
696mi/12h = (116mph - 2*Sw)
58mph - 116mph = -2*Sw
-58mph/-2 = Sw = 29mph.
The correct option is A.
Which pairs of rational numbers are equivalent? Select all that apply. -0.5 and 2 0.7and 7 10 and 0.55 20 and -0.02 50 0 0.15 and 0.15
Answer:
-0.5 and -1/2; 11/20 and 0.55; -1/50 and -0.02
Step-by-step explanation:
Answer:
-0.5 and -1/2; 11/20 and 0.55; -1/50 and -0.02
Step-by-step explanation:
2. Estimate the sum. Choose the mixed number that is closest to the estimate. 5.5 + 4.2
Answer:
9 9/10
Step-by-step explanation:
10
55/10 +42/10=97/10=9 7/10
The formula for the speed of a tsunami in deep water is v=gh−−√ , where g is acceleration due to gravity, 9.8 m/s2 , and h is the depth of the ocean in meters. Use this formula to estimate the speed at which the tsunami that started with an earthquake in Sumatra struck Sri Lanka about 1550 km away. The Bay of Bengal is 4 km (4000 m) deep.
Answer:
v = 200 m/s
Step-by-step explanation:
The formula for the speed of a tsunami in deep water is given by :
[tex]v=\sqrt{gh}[/tex]
Here,
g is acceleration due to gravity
h is the depth of the ocean in meters.
We need to find the speed at which the tsunami that started with an earthquake in Sumatra struck Sri Lanka about 1550 km away. The Bay of Bengal is 4 km (4000 m) deep.
It means we need to find v if h = 4000 m
So,
[tex]v=\sqrt{10\times 4000}\\\\v=200\ m/s[/tex]
So, the speed of the tsunami is 200 m/s.
Need help i don't understand
Answer:
Commutative property of multiplication
Step-by-step explanation:
This property states that numbers can be switched around when multiplying and the answer still remains the same
Answer:
C
Step-by-step explanation:
So we have the expression:
[tex]63\cdot 3[/tex]
And Jared rewrote it as:
[tex]3\cdot 63[/tex]
In other words, he just switched the order and the expression remains equivalent.
This is an example of the commutative property of multiplication, which states that if you change the order of a multiplication sentence, the sentence will remain equivalent.
So, our answer is C.
And we're done!
Maggie’s brother is 3 years younger than four times her age the sum of their ages is 27
well i think maggie would be 6
Step-by-step explanation:
6•3=18
18-4=14
14+6=20
Answer:
[tex]\huge\boxed{\text{Maggie = 6 years, Brother = 21 years}}[/tex]
Step-by-step explanation:
We can create two equations based on the word problems, where [tex]m[/tex] is Maggie's age and [tex]b[/tex] is her brother's age.
[tex]m + b = 27[/tex]
[tex]b = 4m - 3[/tex]
We can now substitute [tex]4m-3[/tex] in as [tex]b[/tex] into [tex]m+b=27[/tex].
[tex]m + (4m-3) = 27\\\\5m - 3 = 27\\\\5m = 30\\\\m = 6[/tex]
Now that we know the value of [tex]m[/tex], we can substitute it into [tex]m+b=27[/tex].
[tex]6 + b = 27\\\\b = 27-6\\\\b = 21[/tex]
Hope this helped!
What is the value of 3-(-2)?
5 4 3 -2 -1 0 1 2 3 4 5
A -5
B -1
C 1
D 5
Answer:
D
Step-by-step explanation:
well the 2 negative becomes a plus so it is really
3+2=5
help solve this for me pls
Answer:
x ( > or = ) 5/9
Step-by-step explanation:
● 2(1 + x) ( > or = ) 11 - 3x
● 2 + 2x ( > or = ) 11 - 3x
Add 3x to both sides
● 2 + 2x + 3x ( > or = ) 11 - 3x + 3x
● 2 + 5x (> or = ) 11
Substract 2 from both sides
● 2 + 5x -2 ( > or = ) 11 -2
● 5x (> or =) 9
Divide both sides by 5
● 5x/5 ( > or = ) 5/9
● x ( > or = ) 5/9
HURRY!!!! Right now, Molly is twice as old as Nancy. Zander is 6 years younger than Molly. Which expression represents Molly’s current age in
terms of Nancy’s? Which expression represents Molly’s current age in
terms of Zander’s? Nancy is currently 10 years old, and Zander is 14. How old is Molly?
Answer:
:)
Step-by-step explanation:
Let 'N' rep. Nancy's age
Let 'M' rep. Molly's age
1) 2N
2) M - 6
3) 2(10) = 20
therefore, Molly is 20
M = 20
M - 6 = 14 (Zander's age)
Answer:
Which expression represents Molly’s current age in terms of Nancy’s?
Answer: 2n
Which expression represents Molly’s current age in terms of Zander’s?
Answer: z plus 6
Nancy is currently 10 years old, and Zander is 14. How old is Molly?
Answer: 20 years old
Just did the assignment and got a 100, edge 2021
Which equation has a solution of x = 9? A. 5x=45 B. 2x=20 C. 4+x=12 D. x+7=26
Answer:
A. 5x = 45
Step-by-step explanation:
To check, substitute 9 for x in each equation.
A. 5*9 = 45
B. 2*9 ≠ 20
C. 4 + 9 ≠ 12
D. 9 +7 ≠ 26
5k +13=93
k =-5; k = 16;k = 22
awnser:
k= 75
5+13= 18 = k
and your trying to get to 93 so 75+18=93 so
75=k
Step-by-step explanation:
-1 1/5 + -3/5 in simplest form
Answer:
-1 4/5
Step-by-step explanation:
In mathematics, a fraction is a number that represents a part of a whole. It consists of a numerator and a denominator. The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that make up said whole. For example, in the fraction 3 5, the numerator is 3, and the denominator is 5. A more illustrative example could involve a pie with 8 slices. 1 of those 8 slices would constitute the numerator of a fraction, while the total of 8 slices that comprises the whole pie would be the denominator. If a person were to eat 3 slices, the remaining fraction of the pie would therefore be 5 8 as shown in the image to the right. Note that the denominator of a fraction cannot be 0, as it would make the fraction undefined. Fractions can undergo many different operations, some of which are mentioned below.
6 = a divided by 4 + 2
Answer:
36
Step-by-step explanation:
The cuboid has volume 288cm^3 (a) the cuboid has a length 12 cm and a width 5cm Calculate the height of the cuboid (b) 1cm^3 of the cuboid has a mass of 4g Work out the mass of the cuboid. Please help I am desperate
Answer:
height= 4.8cm
Step-by-step explanation:
volume= length×width× height given the volume and length and width, 288=12×5×h
288=60h
divide both sides by 60
h=4.8cm
h = 4,8 cm
m = 1152 g
Step-by-step explanation:V = l×w×h
h = V/l×w
= 288cm³/12cm×5cm
= 288cm³/60cm²
= 4,8 cm
1cm³ .............. 4g
288cm³ ........ xg
x = 288cm³×4g/1cm³ = 1152 g
sixty three thousandths in standard form
Answer:
sounds like .063 to me
2x - 3y = 8 //
Find y
Answer:
[tex]y = -\frac{2}{3} x - \frac{8}{3}[/tex]
Step-by-step explanation:
[tex]2x - 3y = 8\\[/tex]
Isolate y
[tex]-3y = 8-2x\\-3y = -2x+8[/tex]
Divide both sides of the equation by -3
[tex]\frac{-3y}{-3} = \frac{2x}{-3} +\frac{8}{-3} \\\\y = -\frac{2}{3} x - \frac{8}{3}[/tex]
What is the volume of a rectangle prism 11inches long, 6 inches wide and 3 inches high
Answer:
198 inches^3
Step-by-step explanation:
Volume of a rectangular prism = Length × width × height
Length = 11 inches
Width = 6 inches
Height= 3 inches
Volume of a rectangular prism = Length × width × height
= 11 inches × 6 inches × 3 inches
= 198 inches^3
The volume of the rectangular prism with dimensions 11 inches long, 6 inches wide, 3 inches high is 198 cubic inches
Hi Geovannie, when you submit this form,
Required
1. Solve the equation:
-(1+4x)=4(1-x)-5*
(5 Points)
Steps to solve:
-(1 + 4x) = 4(1 - x) - 5
~Distribute both sides
-1 - 4x = 4 - 4x - 5
~Combine like terms on the left side
-1 - 4x = -1 - 4x
~Add 4x to both sides
-1 = -1
~Add 1 to both sides
0 = 0
Therefore, all real numbers are solutions.
Best of Luck!
(I WILL MARK AS BRAINLIEST PLS OPEN I RLLY NEED TO KNO PLSSS) a hot air balloon is 10 meters above the ground and rising at a rate of 15 meters per minute. another balloon is 150 meters above the ground and descending at a rate of 20 meters per minute. when will the two balloons meet? i really need to know im super confused and also use the either the substitution method or the elimination method to solve this word problem PLSSSSSSSSSSSSSSSSSSSSS
Answer:
After 4 minutes
Step-by-step explanation:
Balloon 1
Initial position = 10 mRise rate = 15 m/minBalloon 2
Initial position = 150 mDrop rate = 20 m/minTime required for the balloons to meet = x
After x minutes the first balloon will be at position:
10 + 15xAnd the second balloon will be at position:
150 - 20xSince they meet after x minutes, their position must be same:
10 + 15x = 150 - 20x15x + 20x = 150 - 1035x = 140x = 140/35x = 4 minutesSo the balloons will meet after 4 minutes
Airboats are a popular way to tour areas with shallow water. A small airboat can fit 6 people. A large airboat can fit 4 times as many people. How many more people can fit in a large airboat than in a small airboat?
Answer:
18
Step-by-step explanation:
Small airboat = 6
Large airboat = 4× the small airboat's capacity = 4×6= 24
thus 24-6 = 18 more people can fit in the large airboat
Determine the value of the expression given above.
Answer:
-44
Step-by-step explanation:
Please answer this geometry proof as soon as possible!
Answer:
In order to get an answer you have to post a question.
Step-by-step explanation:
Help??? WILL MARK YOU BRAINLIEST
Answer:
13) Luis is wrong because he read the 80* as if his starting point was P. He needs to now take away 45 because that is the angle PTQ.
14) 165* I'm pretty sure because you just do 45 plus 60 since the centred one would only have a view of 45 from what I understand and the other two still have a view of 60 each. Total is 165.
Answer:
8. AC = 29
x = 6
AB = 6
9. BC = 15
3x = 15
x = 5
BD = 3x +4x-13
= 22
10. <PTR = 80
11. < PTQ = 45
12. <QTS = 130 - 45 = 85
13. Luis didn't subtract 80 by 40
14. 180
What is the first step in isolating the variable x?
X/Y - Z = W; for X
Answer:
X = Y(W + Z)
Step-by-step explanation:
X/Y - Z = W
X/Y = W + Z
X = Y(W + Z)
2x-y-z=15 4x+5y+2z=10 -X-4y+3z=-20
Answer:
{x,y,z}={2,2,−2}
Step-by-step explanation:
9–5(x+4)=3(2–x) heeelppp. btw answer not 12
Answer:
9-5[x+4] = 16 , 3[2-x] = 3
Step-by-step explanation:
how do you do this it makes no sense
Answer:
Step-by-step explanation:
multiply each, for example, -30 x-15 = 4500
AM=10 and point M is the midpoint for AB
Answer:
The Answer is 5
Step-by-step explanation:
Draw 2 circles divide 10 by those 2 circles see how much you have on both circles which is 5 thats the mid point M for AB.
Your Welcome! :3 Please mark me brainliest!
h(n)=4n+ 4 find h (-3)
Step-by-step explanation:
h(n)=4n+ 4 find h (-3)
h(-3)=4(-3)+4
=-12+4
=--8
Answer: -8
Step-by-step explanation: h(n) = 4n + 4 means that
if we put an n into our function, a 4n + 4 comes out.
So here, we're putting a -3 into our function which means that
a 4(-3) + 4 comes out which simplifies to -12 + 4 or -8.
So h(-3) = -8 or the value of the function at -3 equals -8.
23,579
38,743
65,559
+66.559
Answer:
194,440 or 127,947.559
Step-by-step explanation:
if that's supposed to be a comma on 66.559 then the answer is 194,440. If not it's 127,947.559.
I really need help on this ;-;