Answer:
The speed of the wind is 40mph, the speed of the plane in still air is 360mph
Step-by-step explanation:
distance = speed * time
Both legs of the trip are 800 miles, let 'x' represent the speed of the plane in still air and 'w' represent the speed of the wind, then 'x+w' represents the speed with the wind and 'x-w' represents the speed into the wind
800 = (x-w)2.5
800 = (x+w)2
Rewrite equations:
800=−2.5w+2.5x;800=2w+2x
Steps: Solve 800=−2.5w+2.5x for w:
800=−2.5w+2.5x
800+2.5w=−2.5w+2.5x+2.5w(Add 2.5w to both sides)
2.5w+800=2.5x
2.5w+800+−800=2.5x+−800(Add -800 to both sides)
2.5w=2.5x−800
2.5w/2.5 = 2.5x - 800 / 2.5 (Divide both sides by 2.5)
w=x−320
Step: Substitute x−320 for w in 800=2w+2x:
800=2w+2x
800=2(x−320)+2x
800=4x−640(Simplify both sides of the equation)
800+−4x=4x−640+−4x(Add -4x to both sides)
−4x+800=−640
−4x+800+−800=−640+−800(Add -800 to both sides)
−4x=−1440
-4x/-4 = -1440/-4 (Divide both sides by -4)
x=360
Step: Substitute 360 for x in w=x−320:
w=x−320
w=360−320
w=40(Simplify both sides of the equation)
solving this system we have:
w=40
x=360
Therefore, the speed of the wind is 40mph, the speed of the plain in still air is 360mph
Because of the commutative property of multiplication, it is true that 3 4 × 4 = 4 × 3 4 . However, these expressions can be calculated in different ways even though the solutions will be the same. Below, show two different ways of solving this problem. First, show how 3 4 × 4 can be solved using repeated addition, Then, show how 4x3/4 can be solved using multiplication and division.
the main one i need help with is the multiplication
Answer:
4x3/4=3
Step-by-step explanation:
Multiplication(Do the multiplication first): 4x3/4=12/4=3
Division(Do the division first): 4x0.75=3
Hope this helped! Please give Brainliest if possible.
Shikha has quiz scores of 27, 25, 24, 26 and 25 this term. If she gets a score of 25 and 28, which part of the data( mean, median, mode or range) will be affected? Explain your reasoning.
Answer:
mean and range
arrangement before: 24,25,25,26,27
arrangement after: 24,25,25,25,26,27,28
mean before: (27+25+24+26+25)/5 = 25.4
mean after: (27+25+24+26+25+25+28))/5 = 25.7
median before: 25
median after: 25
mode before: 25
mode after: 25
range before: 24 to 27
range after: 24 to 28
hence, the mean and range were affected while the median and mode remained unchanged.
a construction worker has a ladder against the side of a building. the building is 10 feet tall, and the ladder is 15 feet long. how far is the base of the ladder from the building
Answer:
5
Step-by-step explanation:
Example 13, can anyone tell me why the bases can be converted into x and y?
Help me pleasee guyss
Answer:
9.5 mm
Step-by-step explanation:
They gave the diameter, and we needed to find the radius
r = d × 1/2
r = 19 × 1/2
r = 9.5 mm
Find the number that makes the ratio equivalent to 1:7.
Answer:
So 2:14 and 3:21 are two ratios that are equal to 1:7. Students are also asked to determine whether two given ratios are equal, by first writing each ratio as a fraction, then writing each fraction in lowest terms. If the two fractions are the same when written in lowest terms, then the ratios are equal.
Step-by-step explanation:
Above
Please Mark brainliest if this helped i need 3 more!
Answer:
2:14 or 3:21
Step-by-step explanation:
because u multiply
The question is in the picture please help fast
Answer:
y = 4x - 57
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )
~~~~~~~~~~~~~~~
( 15 , 3 )
( 19 , 19 )
m = [tex]\frac{19-3}{19-15}[/tex] = 4
y - 3 = 4 ( x - 15 )
y = 4x - 57
WILL GIVE BRAINLY 15 points as well
The figure is the net for a rectangular prism.
What is the surface area of the rectangular prism represented by the net?
Enter your answer in the box.
I'm on a time crunch and I need to get a lot of homework done TODAY. Can someone help?
ayooo im on a time crunch too, i get you man
the complete factors are (x+11)(x-11)
(x+11) (x-11)
11 and 11 make 121
Dr.Purple wants to buy candy bars for all his 143 math students. He buys 9 cases plus 8 more individual bars. How many bars are in each case?
There is 15 bars in each case.
Subtract 8 from 143 and you get 135.
Divide 135 by 9 and you get 15 :)
Answer:
143 - 8 = 135
Then 135 ÷ 9 = 15
Answer 15 bars in each case.
Ricky is 5 years older than Ciara. In 6 years the sum of their ages will be 53. How old is Ricky now
Answer:
23 years old
Step-by-step explanation:
Given the following question:
Ricky is 5 years older than Ciara...
6 years their ages will equal 53 years of age.
So, we have to remember that in six years their ages will equal 53 and one is five years older than the other.
[tex]23+6=29[/tex]
[tex]18+6=24[/tex]
[tex]29-5=24[/tex]
[tex]29+24=53[/tex]
[tex]29-6=23[/tex]
[tex]=23[/tex]
Which means Ricky as of right now is "23 years of age" and Ciara as of right now is "18 years of age".
Hope this helps.
A prism with a volume of 270 m³ is dilated by a factor of 3. What is the volume of the dilated prism? Enter your answer in the box. M³.
The volume of the prism, when it is dilated by a scale factor of 3 changed as 7290 meter cube.
What is dilation of solids?The dilation of the solids is the change of the size of it with a factor, by which it is bigger or smaller from original shape.
Given information-
The volume of the prism is 270 meter cube.
The scale factor of dilation is 3.
As the volume of the prism is 270. The dilation is done by the scale factor of 3. Thus the change in the shape for three dimensions is,
[tex]\Delta =3^3\\\Delta=27[/tex]
Now the volume of the prism is 270. To find the volume of the dilated prism, multiplied 27 by the volume of given prism. Thus the volume of the dilated prism is,
[tex]V_d=27\times270\\V_d=7290\rm m^3[/tex]
Hence, The volume of the prism, when it is dilated by a scale factor of 3 is 7290 meter cube.
Learn more about the dilation of solids here;
https://brainly.com/question/24760202
Error Analysis A student added the rational
expressions as follows:
5x 7 5x 7(7) 5x + 49
+
+
x
x + 7
Describe and correct the error the student
12
x+7
Х
x+7
x+7
Rational expressions are expressions that can be represented as fractions
The solution to the sum of the rational expressions is [tex]\frac{5x^2 + 7x + 49}{x^2 + 7x}[/tex]
How to determine the errorThe student operation is given as:
[tex]\frac { 5 x } { x + 7 } + \frac { 7} { x } = \frac { 5 x } { x + 7 } + \frac { 7 ( 7 ) } { x + 7 } = \frac{5x + 49}{x + 7}[/tex]
The student's error is that, he multiplied the numerator of 7/x by 7, and he added 7 to the denominator
The correction is as follows:
[tex]\frac { 5 x } { x + 7 } + \frac { 7} { x }[/tex]
Take the LCM
[tex]\frac { 5 x } { x + 7 } + \frac { 7} { x } = \frac{5x^2 + 7(x + 7)}{(x + 7)x}[/tex]
Open the brackets
[tex]\frac { 5 x } { x + 7 } + \frac { 7} { x } = \frac{5x^2 + 7x + 49}{x^2 + 7x}[/tex]
Hence, the solution to the sum of the rational expressions is [tex]\frac{5x^2 + 7x + 49}{x^2 + 7x}[/tex]
Read more about rational expressions at:
https://brainly.com/question/21342
Please help me with this question.
======================================================
Explanation:
Focus on the outer ring of numbers only.
The left arm of the angle points at 140. The right arm points at 15. The difference of which is 140-15 = 125
---------------
Alternatively, focus on the inner ring of numbers only.
The left arm points at 40 and the right arm points at 165.
165-40 = 125
We get the same answer as before.
Answer:
Step-by-step explanation:
Hello!
140 -15 =>125°
hcf of 18 & 24
Lcm of 18 &24
Answer: GCF = 6, LCM = 72
Step-by-step explanation:
The prime factorization of 18 is 2*3^2 and the prime factorization of 24 is 2^3*3
Therefore, the gcf is 2*3 = 6.
The lcm is 2^3*3^2 = 8*9 = 72
will give brainlist plus will give brianlist plus 20 points
Answer: 8 60 70 i think if i am wrong pls let me know ty :D
Step-by-step explanation:
How many cúbic centímeters are in the completéd display?
Answer:
machikne up girls i will help you 4 cubic centimeter are in the completed display
Which number is greater and by how much? 600 or 600 decreased by 20% and then uncreased by 20% of the result
Answer:
600.
Step-by-step explanation:
Hope this helps!
Andy, ben and Cathy have £177 between them. Cathy has 3 times as much as ben. andy has £12 more than ben
Find the surface area of this net.
Answer:
96.Step-by-step explanation:
This might be hard, but here we go.
Given equation:
6 * 4 * 46 * 4²Solve:
6 * 4 * 4= 24 * 4= 96.Solve 2nd equation:
6 * 4²= 6 * 16= 96.Surface area = 96 cm².
Simplify the following expressions using the distributive property
-3(z-7)
Answer:
I think that the answer is d=-7
Step-by-step explanation:
-3(z-7)
-3z+21
z=-7
A car starts 40 meters away from home and every minute the car travels an additional 1000 meters. What
equation can represent this word problem?
Y=Mx+b
please help me!!! 50 points
Answer:
b no solution
Step-by-step explanation:
there is no solution
Answer:
The answer is B
Step-by-step explanation:
And B is no solution.
Hope this helps!
When simplifying x3. x2, the exponents are added together.
True
False
A recipe requires 2 eggs 500 grams of flour and two teaspoons of salt how many eggs are needed if you use 2 kg of flour?
Paulo has R$80.00 and Carlos has 2/3of that amount. How many Carlos has? How many do the two have together?
Answer:
53 dollars and 33 cents
Step-by-step explanation:
53.33
We are given –
Paulo has R$ 80.00 and Carlos has 2/3 of that amount.
We are asked to find, how much Carlos owns and how much they have together.
Explanation :-
At first, we just need to multiply 80by 2, and then we will divide the value by 3, so we find that:
[tex]\qquad[/tex][tex] \bf \longrightarrow 80 \times 2 = 160[/tex]
[tex]\qquad[/tex][tex] \bf \longrightarrow \dfrac{160}{3} = 53.3[/tex]
Therefore, we find that Carlos has 53.3 R$.
Now to find out how much they have together. We have to add Paul's amount to Carlos' amount for that.
[tex]\qquad[/tex][tex] \bf \longrightarrow 53.3 +80 =133.3[/tex]
Henceforth, they both have 133.3 R$. together.
Can someone help me with this pleaseee
Answer:
1=C
2=E
3=D
4=B
5=A
Step-by-step explanation:
the temperature in Austria one morning is -5 degrees Celsius at 8:00 and increased by 2 degrees Celsius every hour until 12:00. wht will the temperature be
at 11:30
The equation illustrates that the temperature by 11:30 am will be 2 degree Celcius.
How to solve the equationIt should be noted that there are 3 hours and 30 minutes from 8 am to 11.30 am.
Therefore, the temperature by 11:30 will be:
= -5 + 2(3.5)
= -5 + 7
= 2°
In conclusion, the correct option is 2°.
Learn more about equations on:
https://brainly.com/question/13763238
George believes the Art Club students at his school have an unfair advantage in being assigned to the art class they request. He asked 500 students at his school the following questions: "Are you in the Art Club?" and "Did you get the art class you requested?" The results are shown in the table below:
Art Club Not in Art Club Total
Received art class requested 100 265 365
Did not get art class requested 65 70 135
Total 165 335 500
Help George determine if all students at his school have an equal opportunity to get into the art class they requested. Show your work, and explain your process for determining the fairness of the class assignment process.
Answer: Not fair
Step-by-step explanation: Since the fractions and rations are unbelievably rigid, this question is no doubt going to the creaser side.
Please answer this (who ever answers correctly gets brainlest)
Answer:
6
Step-by-step explanation:
[tex] \frac{2}{5} \times 15 = 6[/tex]
[tex]15\div5\times2=6\:or\:15\times\dfrac{2}{5}=6 \\\text{Answer: 6}[/tex]