Given :
The scale of a model train is 1 inch to 13.5 feet.
One of the cars of the model train is 5 inches long.
To Find :
The length, in feet, of the actual car.
Solution :
It is given that scale of the model is 1 inch to 13.5 feet. It means that 1 inch in the actual scale is equal to 13.5 feet in real.
So, length of car real is :
Length = 5 × 13.5 feet
Length = 67.5 feet
Therefore, the length of the actual car is 67.5 feet.
Suppose that the height H of a Ferris wheel can be modeled by the function n H(t)= -16cos(t/45)+24, where t is the time in seconds. What is the maximum height of a cabin? Use 3.14 for π
Answer:
40 feet.
Step-by-step explanation:
The height of the Ferris Wheel is modeled by:
[tex]\displaystyle H(t)=-16\cos\Big(\frac{t}{45}\Big)+24[/tex]
Where H(t) is the height (in feet (assuming)) and t is the time in seconds.
Remember that the value of cosine, regardless of the input, will always be between -1 and 1. That is:
[tex]-1\leq \cos(t)\leq 1[/tex]
So, we can use the two maximums. Testing -1 and 1, we get:
[tex]H(t)=-16(1)+24=8[/tex]
And:
[tex]H(t)=-16(-1)+24=40[/tex]
Therefore, the maximum height of a cabin of the Ferris Wheel will be 40 feet in the air.
Notes:
And the minimum height will be 8 feet.
We are not asked to find t. To do so, however, set H(t) = 40 and find the general solution for t.
Shauna needs a new backpack. Tee one she wants cost $28 The store is having a 15% sale off backpacks this Friday What will the price of the backpack be?
Answer:it should be $23.80
Step-by-step explanation:28/100x85=23.80
I need help!!! I don’t know what to do
Answer:
5km
Step-by-step explanation:
1/2xbxh
1/2x 2x5= 5
Answer:
5 km.
Step-by-step explanation:
1/2 times base times height.
1/2 times 5 times 2
= 5
A phone company uses the equation y 0.15x10 to find y, the monthly charge for a customer sending x text messages. How many text messages are sent if the monthly charge is $77507
A: 10
B: 21
C: 450
D: 506
Answer:21
Step-by-step explanation:
21
please hurry
Jack paid $21,000 for his new car. This was 7/8 the suggested selling price of the car. What was the suggested selling price of the car?
Answer:
$24000
Step-by-step explanation:
so we can make an algebraic equation with these values
21000=7/8x
divide both sides by 7
3000=1/8x
multiply both sides by 8
x=24000
Can you help me solve this please.
Answer:
down five units, and left three units.
Step-by-step explanation:
The bottom corner moved down five units.
Then that point moved three units to the left.
It's the same for the other points too.
Suppose () = 46%; ( and ) = 10%; and ( or ) = 62% Find (Not ). Can this really be a probability? If not, explain why not.
Answer:
[tex]P(E) = 26 \%[/tex]
Step-by-step explanation:
Given
[tex]P(F) = 46\%[/tex]
[tex]P(E\ and\ F) = 10\%[/tex]
[tex]P(E\ or\ F) = 62\%[/tex]
Required
Find P(E)
In probability:
[tex]P(E\ and\ F) = P(E) + P(F) - p(E\ or\ F)[/tex]
Substitute the right values
[tex]10\% = P(E) + 46\% - 62\%[/tex]
[tex]10\% = P(E) -16 \%[/tex]
Collect Like Terms
[tex]P(E) = 10\% +16 \%[/tex]
[tex]P(E) = 26 \%[/tex]
It is a probability because all probabilities are within the range 0 to 100%
Select whether each equation is a linear equation in standard form. Select Yes or No for each equation.
Answer:
yes
Step-by-step explanation:
Move 4x to the right to get y= -4x + 5. This is a linear equation because the graph of it is a straight line.
helpppp plssss :))))))((((
Answer:
a= 80
b= .25
Step-by-step explanation:
We know that a has to equal 80 because
[tex]a(b)^0=80\\a=80[/tex]
We can then just solve for b
[tex]80(b)^1=20\\b=\frac{20}{80} \\b=.25[/tex]
3(2h+5)+5h ????????????
Answer:
11h + 15
Step-by-step explanation:
3(2h+5)+5h | Given
6h + 15 + 5h | Distribute
11h + 15 | Combine like-terms
The senior class at Clearville ISD is having a fundraiser to raise money for their prom. They are seling coupon books in the local community. The number currently sold by each of the students was used to create the box plot shown below. HHH 8 10 12 14 16 18 20 22 24 26 28 30 32 If one of the students calculated the mean of the data to be 14.5, would this be an appropriate mean? OA. Yes, the mean is appropriate. OB. There is not enough information to determine if the mean is appropriate. O C. No, the mean should be lower. OD. No, the mean should be higher. Reset Submit
Answer:
The answer is D
Step-by-step explanation:
If you add them all, and divide them it wouldn’t get 14.5
Answer:
No, the mean should be higher.
Step-by-step explanation:
Have a good day :)
Help please I need to submit soon
Step-by-step explanation:
(2.3)^2 +5^2= ?
=6^2 +5^2
= 61
Answer:
THXSSSS UUUU SWOOOO MUCHHHHHHH
Step-by-step explanation:
please help meeeeeee
Find the value of x in the diagram. Explain how you found the answer.
Answer:
x = 65
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
subtract the sum of the 2 given angles from 180° for third angle
third angle = 180° - (60 + 55)° = 180° - 115° = 65°
65° and x are vertical angles and are congruent, thus
x = 65
Answer:
x = 65 degrees
Step-by-step explanation:
Three angles are marked with their values: 55 and 60 degrees. Thus, the third interior angle of the left triangle (unmarked) is 180 degrees - (115) degrees = 65 degrees.
This 65 degree angle and x are vertical angles. Thus, x = 65 degrees. This plus y form a straight angle, so y = 180 degrees - 65 degrees = 115 degrees.
Sara receives a 9% commission on every car she sells. The car dealership paid $20,000 for a car from an auction. The next day they sold the car for 20% more than they paid. How much commission did Sara earn on the selling price of the car?
Hey there! Your answer to this problem is 2160..
Explanantion:
Since every car Sara sells, she gets 9% of the commission, this means that at the last few step, we would have to give 9% of the total cost to Sara.
If 100% is 20,000, then 50% would be 10,000. But we have to find the cost of 20%. So what we would actually be doing is multiplying 20 with 0.01. 20x0.01 is 0.2 or 0.20.
Then you add the 4,000 to the 20,000 because it states, “the next day, they sold the car 20% more than they paid. This means that you’ll have to add it. 20,000 plus 4000 would be 24,000. So 24,000 would be the cost of the car they sold.
However they didn’t wanna know the cost of the car, they wanted to know how much Sara would get. So you would have to take 9% of the cost of the cost which would be 2,160.
Final result: $2,160
On a Saturday, Saul can cut 4 lawns in 6 hours. If Mitch can mow lawns at the same rate, how long will it take him to mow 9 lawns?
12 hours
12 3/4 hours
6 hours
13 1/2 hours
Answer:
13 1/2 is your answer.
Step-by-step explanation:
With the same ratio the time taken Mitch to mow 9 lawns will be 13 + 1/2 thus option (D) is correct.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given,
Saul can cut 4 lawns in 6 hours.
The ratio of hours to lawns will be as,
6/4
Suppose the time taken to mow 9 lawns to Mitch is x hours.
The ratio of hours to lawns will be as
x/9
Since the rate is the same thus ratio must be the same.
x/9 = 6/4
x = 6/4 x 9
x = 13.5 = 13 + 1/2
Hence"With the same ratio, the time taken Mitch to mow 9 lawns will be 13 + 1/2".
For more information about ratios and proportions,
brainly.com/question/26974513
#SPJ2
Un embalse estaba lleno a finales del mes de mayo. En el mes de junio se consumieron 3/10 de sus reservas y a finales de julio solo quedaba la mitad. ¿Qué fracción del embalse se consumió durante el mes de julio?
The English translation of the question is
A reservoir was full at the end of May. In the month of June 3/10 of its reserves were consumed and at the end of July only half remained. What fraction of the reservoir was consumed during the month of July?
Answer:
1/5 of the Reservoir will be consumed in the month of July.
Step-by-step explanation:
We are given
Full reservoir at the end of month May. In the month of June 3/10 of the reservoir was consumed.
Amount present in the Reservoir at the end of the month June will be = 1 -3/10
= 7/10
Now this 7/10 of the Reservoir will be used for the next month which is July
It is given that at the end of July only 1/2 of the Reservoir is remained that means the amount that was left at the end of the Month June will be used for the month July. So the amount consumed in the month of July will be
Amount consumed = 7/10 - 1/2
= 2/10 = 1/5
Therefore 1/5 of the reservoir will be consumed in the month of July.
PLEASE HELP
Which equation would you use to solve the following situation?
Ms. Green has 18 pencils at her desk. Students borrow some of the pencils, and 6 pencils are left at the end of the school day. How many pencils were borrowed?
x - 6 = 18
18 - x = 6
18 + 6 = x
Answer:
18-x=6
Step-by-step explanation:
because
if you have eighteen and some were borrowed and 6 were left so it will be subtracted
Answer:
18 - x = 6
Step-by-step explanation:
In any equation x is the unkown you are trying to figure out.
In a word-problem-solving question its helpful to set out what you know and what you dont know:
You know the original number of pens = 18
You know the final number of pens = 6
You dont know how many pens were taken.
Therefore x is the difference between 18 and 6.
18 pens take away x pens is equal to 6
hence 18 - x =6
If Area Sub made 36 sandwiches using 9 pounds of ham. How much ham was used per sandwich?
Answer:
4 poundsStep-by-step explanation:
[tex]\frac{36}{9}[/tex] = 4
I would really appreciate it if you would please mark me brainliest! Have a blessed day!
Answer:
Step-by-step explanation:
Total number of sandwiches = 36
Total pounds of ham = 9 pounds
per pound = 36 ÷ 9 = 4 sandwiches
Ham per sandwich = 0.25 pounds
X + 12 >7
HELP YOU NOW PLEASE
Answer:
x>−5
Step-by-step explanation:
What is the simplified expression of (2x -8) + (3x-2)
Answer:
5x-10
Step-by-step explanation:
Answer:
5x-10
Step-by-step explanation:
You can add the x together, 2+3 is 5 so we have 5x.
The you add the other numbers, -8+-2 is -10.
You then can put the addition in, and have 5x+-10. Since 10 is a negative, there's no need to put the addition sign, so 5x-10 would be the answer.
A stick 1 meter long casts a shadow 0.5 meters long. A building casts a shadow 16 meters long. How tall is the building?
Answer:
I think 8
Step-by-step explanation:
i think 8 because if you have 1 meter with .5 a meter shadow then i would think 16 meters would cast half of itself which would be 8
sorry if im totally wrong
I need help pls and thank you
What does it mean
for one variable to be dependent on another
variable
Answer:
The variables in a study of a cause-and-effect relationship are called the independent and dependent variables. The independent variable is the cause. Its value is independent of other variables in your study. The dependent variable is the effect. Its value depends on changes in the independent variable.
Step-by-step explanation:
Select the correct answer.
Each statement describes a transformation of the graph of y= x. Which statement correctly describes the graph of y= x - 13?
OA. It is the graph of y = x translated 13 units to the left.
OB.
It is the graph of y = x translated 13 units to the right.
OC.
It is the graph of y = x translated 13 units up.
OD. It is the graph of y = x where the slope is decreased by 13.
Answer:
The translation corresponds to a translation of 13 units to the right
Step-by-step explanation:
Translation of a Graph
If the graph of
y=f(x) is translated a units horizontally, then the equation of the translated graph is
y =f(x - a)
The value of a is considered positive for translations to the right.
The parent function is
y = x
and the given function is
y = x - 13
The translation corresponds to a translation of 13 units to the right
The area of this trapezoid is what?
Answer:
The area of this trapezoid is 8cm
Answer:
130
Step-by-step explanation:
first decompose the trapezoid into a square in the middle and 2 triangles on the left/right side, both triangles are congruent so you only find the area of one triangle, which is 9 because do 2x9 = 18/2 = 9, now let's move on to the middle square 14 x 18 = 112, then you add them all up remember there are 2 triangles,
112 + 9 + 9 = 130
Graph the points:
(-1, -2); (0 -1), (1, 0)
• What is the fourth point?
HELP PLZZ I'm abouta fail this grade and I cant
Answer:
(2,1)
Step-by-step explanation:
bro if im wrong blame me-- but yeah
Please tell me the answers i am confused and need help
Answer:
Simplified= 7x+6 When x=3 the expression=27
Step-by-step explanation:
Arnav was 1.5 m tall. In the last couple of years, his height has increased by 20% percent.
How tall is Arnav today?
Answer: Arnav is 1.8m
Step-by-step explanation: I multiplied 1.5 by 0.20 and then added that answer to 1.5 and then I got 1.8
:D
Answer:
1.5 x 2= 3m its really just that easy.... it took me a while to learn this trick but it works for most things.
7n+15=34 i need help ASAP
Answer:
n= 19/7 I hope this helped!
Step-by-step explanation:
Answer:
2.714285714285714
Step-by-step explanation:
Which staqtement is correct regarding the measurements of the parallelogram? 4 (21) 1 2 3 4 6 & 7 9 10 11 12 13 14 15 16 17 18 The base is 6 and the height is 3, so the area is 6(3) - 18 square units. O The base is 8 and the height is 3, so the area is 8(3) - 24 square units. The base is 8 and the height is 4, so the area is 8(4) -32 square units, O The base is 8 and the height is 6, so the area is 8(6) -48 square units. Noxi Submit Save and Exit Mark this and return M
Answer:
The answer is C because I dont know