Answer:
X=960
Step-by-step explanation:
x=0.6X +384
x-0.6X =384
0.4x=384
divide through by 0.4
X=960
A plane traveled 696 miles each way to New York City and back. The trip there was with the wind. It took 6 hours. The trip back was into the wind. The trip back took 12 hours. What is the speed of the wind?
A. Wind is 29 mph
B. Wind is 87 mph
C. Wind is 46 mph
D. Wind is 15 mph
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.
HELP!!!!! Will give out brainliest
Find the value of c and YZ if Y is between X and Z.
XY = 5.5. YZ = 2c. XZ = 8.9
Ć
YZ
IN
Answer:
c=3•6 between xy andxz is7•2
You have $135 in a savings account and save $12 per week. Your friend has $95 in a savings account and saves $20 per week. How many weeks will it take for you and your friend to have the same balance?
Answer:
It will take 5 weeks for you and your friend to have the same balance
Step-by-step explanation:
Let
Your savings expression be
135 + 12x
Your friends savings expression
95 + 20x
Where,
x = number of weeks for you and your friend to have the same balance
Equate the two expressions
135 + 12x = 95 + 20x
Collect like terms
135 - 95 = 20x - 12x
40 = 8x
Divide both sides by 8
40/8 = x
x = 40/8
= 5
x= 5 weeks
Check
Your savings expression
135 + 12x
135 + 12(5)
=135 + 60
= $195
Your friends savings expression
95 + 20x
95 + 20(5)
= 95 + 100
= $195
Therefore, It will take 5 weeks for you and your friend to have the same balance
Hillside Travel pays its employees $10 per hour plus 8% commission on all trips booked. Tyrus worked 20 hours last week and booked trips amounting to $2,100. What was his gross pay for last week? *
Answer:
$368
Step-by-step explanation:
Well, if they pay their employees $10 per hour, and Tyrus worked 20 hours, then we have a base amount of 200, as 10*20=200. Next, we need to think about the 8% commission from 2100, so we multiply 2100*.92 to get 1932 so 2100-1932=168. So, to get the gross pay, you add the base amount, 200, and the commission, 168, together to get $368. Tyrus got a gross pay of 368 dollars last week.
A model car is built on a scale of 1:43.
The model is 11 centimetres long.
How long, in metres, is the real car?
Answer:
4.83 m
Step-by-step explanation:
Given:
Model : car = 1 : 43Model = 11 cmCar = ? mSolution:
11 : x = 1 : 4311*43 = x*1x = 483 cm x = 4.83 m4.83
i hope this helped
Step-by-step explanation:
Help!! Short and sweet question any help is appreciated!
Answer: 2nd option
Step-by-step explanation: Infinity and beyond
Hello, what's 9+10^2+25=???
Step-by-step explanation:
Hey there!!
Simply add all,
[tex] = 9 + {10}^{2} + 25 [/tex]
[tex] = 9 + 100 + 25[/tex]
[tex] = 134[/tex]
Or, if you are asking about what are these numbers then, simply they are the sum of sqaure number of 3, 10 and 5.
Hope it helps....
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \bold{ \sf{134}}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{9 + {10}^{2} + 25}[/tex]
Evaluate the power : 10²
[tex] \dashrightarrow{ \sf{9 + 10 \times 10 + 25}}[/tex]
[tex] \dashrightarrow{ \sf{9 + 100 + 25}}[/tex]
Add the numbers: 9 , 100 and 25
[tex] \dashrightarrow{ \sf{134}}[/tex]
Hope I helped!
best regards! :D
A cylinder has a volume of 120 cubic inches and a radius
of 6 inches. What is the height of the cylinder rounded to
the nearest inch?
Answer:
1 inch
Step-by-step explanation:
6 Friends all use two dollars off coupon to buy them selves movie tickets they spend a total of $42 what is the price of one movie ticket without the coupon
Answer:
The answer is $7
Step-by-step explanation:
The answer is $7 because $42 divided by 6 = 7.
Answer:
The price of one movie ticket without a coupon would be $9.
Step-by-step explanation:
one movie ticket: x
$42 = 6(x- 2)
$42 = 6x- $12
Move the 12 to the other side.
42 = 6x - 12
+ 12 +12
____________
54 = 6x
Now divide 6 from both sides.
[tex]\frac{54}{6}[/tex] = [tex]\frac{6x}{6}[/tex]
9 = x
X + 16 at X= 4
20
21
15
Answer:
The answer would be 20
Step-by-step explanation:
16+4=20
Answer:
20
Step-by-step explanation:
Pls halp due today >_<. Thank you!
There are 7 days in a week, using this you can fill out the table.
If you have questions, feel free to add a comment to this answer.
Hope this helps.
頑張って!
Is the function in the graph non linear?
Yes - if it were linear it would have be a straight line.
Answer:
B (yes, bc it does not have a constant rate of change)
Step-by-step explanation:
Please help will.gibe brainliest !!!
Answer:
Please give brainliest
Step-by-step explanation:
1. 0, 121, 8
2. 121, 8
3. 121, 8
A recipe for fruit calls for 2 cans of pineapple juice and 3 cans of orange juice. Hiri is making a large batch for a community function and uses 72 cans of orange juice. How many cans of pineapple juice should he use?
Answer:
48 cans of pineapple juice he should use.
Step-by-step explanation:
This, is a problem of ratio where we have to use the concept
a:b = c:d which can be also written as
a/b = c/d
______________________________________________________
According recipe
we find ratio of pineapple and orange juice
amount pine apple juice : amount of orange juice = 2 cans : 3 cans
Thus, ratio of pineapple and orange juice = 2:3
___________________________________
Given that this recipe is used for making juice in large batch for a community function
Given
amount of orange juice = 72 cans
let the amount of pine apple juice be x
ratio of pineapple and orange juice in this case
amount pine apple juice : amount of orange juice = x cans : 72 cans
ratio of pineapple and orange juice in this case= x : 72
since recipe used is same.
ratio will be same in both case that in recipe ratio and large batch preparation for community function
Thus,
x:72 = 2:3
which can also be written as
x/ 72 = 2/3
x = 2/3 * 72 = 48
Thus, 48 cans of pineapple juice he should use.
What is the value of x? x=int(13.25 + 4/2) *
15.25 is the answer of the question
The value of x is x = int(13.25 + 4/2) is 15
Integers are negative or positive whole numbers. Given the expression for x, x=int(13.25 + 4/2)
This means that we are to express the result of x as an integer
Solving the expression 13.25 + 4/2
[tex]=13.25+\frac{4}{2} \\=13.25 + 2\\=15.25\\[/tex]
In order to convert this result into an integer, we will approximate it to the nearest whole number. Hence:
[tex]x=int(15.25)\\x \approx 15[/tex]
This shows that the value of x is x = int(13.25 + 4/2) is 15
Learn more here: https://brainly.com/question/22309443
A company owns two manufacturing plants with daily production levels of 8x + 17 widgets and 5x - 7 widgets, where x represents a minimum quantity. How many more items does the first plant produce daily than the second plant?Immersive Reader
Answer:
3x + 24
Step-by-step explanation:
Given that;
Company owns two manufacting plants with the following daily production levels :
PLANT A:
8x + 17 widgets
PLANT B:
5x - 7 widgets
Where x = minimum quantity
How many more items does the first plant produce daily than the second plant?
Subtract the Plant B's production level from plant A
8x + 17 - (5x - 7)
8x + 17 - 5x + 7
Collecting like terms
8x - 5x + 17 + 7
3x + 24
Hence, the number of items the first plant produce daily than the second plant is :
3x + 24
What is the Answer to 3m+4n
Answer:
7mn
Step-by-step explanation:
3 + 4 is 7
m + n is mn
7mn
I need help can someone help me please
Answer:
ok
Step-by-step explanation:
1) [tex]\frac{3}{2} \\[/tex] = 1.5 because the numerator goes int the denominator 1 time and then you ahve left over [tex]\frac{1}{2}[/tex] which is .5 .
2) [tex]\frac{5}{2}[/tex] = 2.5 because the 5 goes into the denominator 2 times and then you have left over .5 .
3) [tex]\frac{1}{4}[/tex] = .25 because a 1 is divided by 4.
4) [tex]\frac{1}{2}[/tex] = .5 ; a 1 is divided by 2
5) [tex]\frac{3}{4}[/tex] = .75 because you have .25 x 3 .
6) [tex]\frac{1}{5}[/tex] = .2 because it is 1 divided by 5
7) 0.04 + 4.1 = 4.14
8) 6.93 - 1.2 = 5.73
two nonadjacent angles formed by two intersecting lines are
Two non-adjacent angles formed by two intersecting lines are vertical angles.
How to classify angles given by intersecting lines?
Below you can see a graph with two intersecting lines where 4 angles are formed.
There are two pairs of angles.
Adjacent angles, such that their sum is equal to 180°.Non-adjacent angles (also called vertical angles).In the image:
1-22-33-44-1Are adjacent.
1-32-4Are vertical.
If you want to know more about angles, you can read:
https://brainly.com/question/14362353
A strand of hair grows at a constant rate of
a
inch per month. A different strand of hair grows
at a constant rate of 4 inches per year. Is this a proportional relationship, why or why not.
Answer:
No
Step-by-step explanation:
In a single year, there are 12 months. 1 month=1 inch.
12 x 1 inch is 12 inches.
12 is greater than 4, so the answer is not a proportional relationship.
12 is greater than 4, so the answer is not a proportional relationship.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
A strand of hair grows at a constant rate of 1 inch per month.
In a single year, there are 12 months. 1 month = 1 inch.
12 x 1 inch is 12 inches.
A different strand of hair grows at a constant rate of 4 inches per year.
12 is greater than 4, so the answer is not a proportional relationship.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ5
what is the remainder when 31,671 divided by 68
Answer:
51
Step-by-step explanation:
Step 1:
31,671/68 = 465.75
Step 2:
31671 - 31620 = 51
Answer:
51
Hope This Helps :)
Answer:
51
Step-by-step explanation:
The control group in an experiment is the group that did not have a variable changed.
A False
B True
Solve for (-7)-9-((-4)-1)
Answer:
The answer is negative 11
Step-by-step explanation:
Answer:
-11
Step-by-step explanation:
(-7)-9-((-4)-1)
-16-(-4-1)=-11
-16-(-5)=-11
-16+5=-11
-11
Also you can use the app called Microsoft Math Solver, it helps alot. :)
How many millions are in a trillion?
10000 millions or 999 billion is 1 trillion
x is greater than -9 and less than or equal to 4 use x only once in your inequality
Answer:
4≤x>-9
Step-by-step explanation:
1y
Which intervals show f(x) decreasing? Check all that
apply.
4
-3 -2 -1
3
[-2.5, -2]
(-2,-1.5)
0 (-1, 1)
[1.5, 2]
[2, 2.5)
(2.5, 3]
4
-8
12
-16
I don't have gotten any answer of this question
The circumference of a circle is 6pi meters. What is the diameters? Explain
Answer:
d=6
Step-by-step explanation:
circumference= 2pi r
6pi=2pi d/2
6pi/2pi=d/2
3*2=d
d=6
1. Combine like terms: 4b + 75 = 983 2. Use the subtraction property of equality: 4b = 908 3. Use the division property of equality: b =
Answer:b=227
Step-by-step explanation:
Answer:
yes the person above me is correct it is 227
Step-by-step explanation:
twice the sum of a number and 400. Translate the verbal expression into an algebraic expression plz
Answer:
(a+b) ^2=400
Step-by-step explanation:
Follow me for more answers If you like my way of solving