To the nearest foot the distance of source of that sound is 24,750 feet.
Given that;
Speed of sound in air = 1100 feet per second
Speed of sound in steel = 1500 feet per second
Time difference = 6 seconds
We have to find the nearest foot for the distance of source of that sound.
What is relation between distance, speed and time?
The relation between distance, speed and time is;
Speed = Distance/Time
We have;
Time difference = 6 seconds
Let the distance = x feet.
For the air;
Distance = x feet
Speed of sound in air = 1100 feet per second
Then, Time = Distance/speed = x / 1100
And, For steel ;
Distance = x feet
Speed of sound in steel = 1500 feet per second
Hence, Time = Distance/speed = x/1500
Since, Time difference = 6 seconds
Hence, The equation become;
x / 1100 - x/1500 = 6
(1500x - 1100x)/1100*1500 = 6
400x = 6 * 1100 * 1500
x = 24,750 feet.
Hence, To the nearest foot the distance of source of that sound is 24,750 feet.
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Doctor Forrest charges $60 for a home visit plus an additional fee of $12.50 per hour spent with the patient. Doctor Forrest arrives at a patient’s home at 9:30 am. The total bill for the visit was $97.50. What time did the doctor leave the patient's home?
Answer:
We do not know
Step-by-step explanation:
There is no time when the doctor starts from home, so it is technically impossible to solve.
Which pair of triangles below can be shown to be similar using AA similarity?
350
700
890
67°
7670
249
1640
490
750
820
630
54°
Triangle second and third can be shown to be similar using AA similarity when we take two angles between them.
What is similarity?
In Euclidean geometry, two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.
How to check similarity of triangle?
In second and third triangle two angles whose measures are 24 degrees and 67 degrees are in both triangles, which is the condition of AA similarity.
To check AA similarity we have to check whether two angles are equal in two triangles to be similar.
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Helpppp plz will give brainliest
Helllpppp meeeee plsssssss
Answer:
The inequality [tex]\frac{8}{4}\:<\frac{5}{2}\:[/tex] is true.
Step-by-step explanation:
Given
[tex]\frac{8}{5}<\frac{9}{10}[/tex]
FALSE
Reason: 8/5 or 1.6 is greater than 9/10 or 0.9
[tex]1>\frac{6}{5}[/tex]
FALSE
Reason: 1 is smaller than 6/5 or (1.1)
[tex]\frac{5}{2}<2\frac{1}{2}[/tex]
converting mixed number to improper fraction
[tex]\frac{5}{2}<\frac{5}{2}[/tex]
FALSE
Reason: 5/2 can not be less than 5/2
[tex]\frac{8}{4}\:<\frac{5}{2}\:[/tex]
[tex]2<\frac{5}{2}[/tex]
TRUE
Reason: 2 is indeed smaller than 5/2 or 5.2 ∵ 5/2 = 2.5
Therefore, inequality [tex]\frac{8}{4}\:<\frac{5}{2}\:[/tex] is true.
Evaluate the expression
5−2−2+10
= -2
-6
14
2
22
It should be noted that the value of the expression 5 - 2 - 2 + 10 will be 11.
How to illustrate the information?Mathematical operators like addition, subtraction, multiplication, and division are used to create expressions in writing.
You must substitute a number for each variable and carry out the arithmetic operations in order to evaluate an algebraic expression.
For example, x + 6 = 12. Since 6 + 6 equals 12, the variable x in the example above is equal to 6. We can substitute the variables with their values and then evaluate the expression if we know the values of our variables.
Based on the information illustrated, it should be noted that the value of the expression 5 - 2 - 2 + 10 will be 11.
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Jeremiah flies an airplane for 2.7 hours at an average speed of 304.6 miles per hour. How far did Jeremiah fly?
82.242 miles
822.42 miles
8,224.2 miles
82,242 miles
Answer:
b) 822.42
Step-by-step explanation:
Just multiply 2.7 by 304.6 and your answer would be 822.42
Answer:
answer is b
Step-by-step explanation:
1/2(x − 2) = 4x − 9/2x − 4 What is the solution?
sorry . I had done it wrong
Kate buys a wheelbarrow priced at $53. Shipping and handling are an additional 30% of the price. How much shipping and handling will Kate pay?
Answer:
$15.90
Step-by-step explanation:
30% of 53 is 15.90
Simplify each expression
1. -7(6v+4)+3v(v+3)
2. -3k(2k-3)+7(k-7)
Answer:
1. 3v^2 - 33v -28
2. -6k^2 + 16k - 49
Step-by-step explanation:
1. (-7 x 6v) + (-7 x 4) + (3v x 1v) + (3v x 3)
-42v-28+3v^2+9v
3v^2 + 9v - 42v -28
3v^2 - 33v -28
2. (-3k x 2k) + (-3k x -3) + (7 x 1k) + (7 x -7)
-6k^2+9k+7k-49
-6k^2 + 16k -49
Two life insurance companies determine their premiums using different formulas:
Company A: p= 2a+24
Company B: p= 2.25a+13 where p represents the annual premium, and a represents the client's age. Use the graph to determine the age at which both companies charge the same premium.
Answer:
The age at which both companies charge the same premium is 44 years
Step-by-step explanation:
Graph Solution to System of Equations
One approach to solving systems of equations of two variables is the graph method.
Both equations are plotted in the same grid and we find the intersection point(s) of both graphs. Those are the feasible solutions.
The annual premium p as a function of the client's age a for two companies are given as:
Company A: p= 2a+24
Company B: p= 2.25a+13
The graphs of both functions are shown in the image below.
The red line indicates the formula for Company A and the blue line indicates the formula for Company B.
It can be seen that both lines intersect in the point with approximate coordinates of (44,112).
The age at which both companies charge the same premium is 44 years
A hoverboard is on sale for 10% off the original price of 247.50
Answer:
$222.75
Step-by-step explanation:
0.9*247.50
hope this helps :D pls mark brainliest :D
Create two different equations that have infinite solutions to the equations .
Answer:
1. x = y - 2
2. 2y = 2x
Step-by-step explanation:
1. Any number can fit x and y so long as x is 2 lesser than y and y is 2 more than x.
2. x and y can be any number so long as they are the same number.
The product of 2 and the sum of 9 and -6, subtracted by 5, equals what number
Answer:
1
Step-by-step explanation:
9 + (-6) = 3
2(3) = 6
6 - 5 = 1
Answer:
https://brainly.com/question/20245806
Step-by-step explanation:
Go to the link (you can just press it lol)
what is the scientific notation for 92100
Answer:
9.21*10^4
Step-by-step explanation:
What is the reciprocal of 1 3/4 ?
Answer:
4/7
Step-by-step explanation:
1 3/4 or 7/4
The payment to a clown for a children's party is directly proportional to the number of
children under 12 at the birthday party. The clown earns $140 at a party that has 10 children attending,
.
How much will the clown earn when 22 children under the age of 12 attend?
If the clown uses 46% of the money earned on his props for the party, and the rest is
profit. What is the profit if only 10 children under the age of 12 attend the party?
Answer:
Step-by-step explanation:
We know he earns $14 per child under 12
So he'll earn 22 times 14 which is $308 earned.
46% of 308 is basically 0.46 X 308=$141.68 spent on props.
He profits $166.32
If only 10 children attend.
He earns 10 times 14= $140
46% of these earnings is for props and 54% is profit so
0.54 X 140=$75.60.
Thus he profits $75.60 if 10 children attended.
The profit will amount to $75.60 when only 10 children under the age of 12 attend the party.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
We are aware that he receives $14 for each child under the age of 12.
Thus, he will make $308 after multiplying 22 by 14.
In other words, 46% of 308 is 0.46 × 308 or $141.68 spent on props.
He earns $166.32.
If just 10 kids show up.
He makes $10 multiplied by 14 for a total of $140.
Props account for 46% of these revenues, while profits make up 54%, therefore
0.54 × 140=$75.60.
So, if 10 kids showed up, he makes $75.60.
Thus, the profit will amount to $75.60 when only 10 children under the age of 12 attend the party.
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Find the explicit formula 13,11,9,7
-2 pattern
13-2=11-2=9 and so on
simple math monomial problem, 20 points worth, WILL MARK BRAINLIEST.
QUESTION IS ATTATCHED.
Answer:
1
Step-by-step explanation:
You really just need a calculator for this but to solve by hand just simply separate all the variables and coefficients and then multiply them together at the end.
[tex]-9x^5y^2[/tex]
Since x = -1
[tex]-1^5[/tex] = [tex]-1*-1*-1*-1*-1[/tex] = -1
[tex]\frac{1}{3}^2= \frac{1}{3}*\frac{1}{3}=\frac{1}{9\\}[/tex]
[tex]-9*-1*\frac{1}{9}=1[/tex]
I need help with this rate of change problem
Answer:
-0.5 (-1/2)
Step-by-step explanation:
Answer:
m= -1/2
Step-by-step explanation:
Slope formula
m= y2-y1/x2-x1
plug the given points in which are (7,-4) (5,-3)
m= -3-(-4)/ 5-7
m= 1/-2 which can be rewritten as -1/2
raise v to the 2nd power, then subtract w
Answer: v^2 - w
Step-by-step explanation: any specific numbers that need to be plugged in?
what is 0+12???? I need Help
Answer:
12, can you help me I need help on my questions please it would mean alot and Ill post more questions with 50 points just help me with that and Ill post the points
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
is this true???
thx broh
Evaluate the function graphically
find f(1)
Answer:
-6
Step-by-step explanation:
f(1)=-3
why because f(x)=y
so x=1
you go to the x-cordinate and u see where the y-cordinate is
-3
For the graph the answer is -3 for the exterior it's -6
Have a wonderful day/night ask me if you have more math questions
Brainliest Please.
Solve for x given the lines are parallel.
7(x - 710
126°
Answer:
the answer is 87
Step-by-step explanation:
I'LL GIVE BRAINLIEST TO WHOEVER ANSWERS THE QUESTION CORRECTLY!!!!
Answer:
Reason 3
Step-by-step explanation:
Reason 3 is supposed to be prove
Vertical angles are non-adjacent angles.
True or False
The correct answer would be True
Which graph represents the inequality x < -6?
Answer:
A.
Step-by-step explanation:
x < -6 means that x is lesser than -6. Thus, C and D are wrong. A filled up dot means that -6 is also a possible number for x, but here it says that x is lesser than -6, so it cannot be -6 itself. Thus, B with the filled up dot is also wrong.
what is 9/10 - 2 3/4 i. the simplest form
−1.85 it says too short so ignore this ssssssndjbdbjddn
Find the component form of the vector that translates P(4,5) to p'.
P'(-3,7)
Somebody help!!
Answer:
The component form of the vector P'P is [tex]\left \langle -7, 2 \right \rangle[/tex]
Step-by-step explanation:
The component form of the vector that translates P(4, 5) to P'(-3, 7), is given as follows;
The x-component of the vector = The difference in the x-values of the point P' and the point P = -3 - 4 = -7
The y-component of the vector = The difference in the y-values of the point P' and the point P = 7 - 5 = 2
The component form of the vector P'P = [tex]\left \langle -7, 2 \right \rangle[/tex]
#3: The Hansen family bought 2 child and 2 adult movie tickets and paid $36.50. The Owens family bought 5 child and 2 adult tickets and paid $60.50. How much does a child movie ticket cost? *
Answer:
Cost of child movie = x = $8
Cost of adult movie = y = $10.25
Step-by-step explanation:
Let cost of child movie = x
Cost of adult movie = y
Now converting statements into mathematical expressions:
Hansen family bought 2 child and 2 adult movie tickets and paid $36.50.
[tex]2x+2y=36.50[/tex]
Owens family bought 5 child and 2 adult tickets and paid $60.50. [tex]5x+2y=60.50[/tex]
Let:
[tex]2x+2y=36.50--eq(1)\\5x+2y=60.50--eq(2)[/tex]
Subtract both equations:
[tex]2x+2y=36.50\\5x+2y=60.50\\- \:\:\: - \:\:\:\:\:\:\:\: -\\--------\\-3x=-24\\x=\frac{-24}{-3}\\x=8[/tex]
So, we get Value of x =8
Now, putting value of x in eq(1) to find value of y
[tex]2x+2y=36.50\\Put \: x=8\\2(8)+2y=36.50\\2y=36.50-16\\2y=20.5\\y=\frac{20.5}{2}\\y=10.25[/tex]
So, we get Value of y = 10.25
So,
Cost of child movie = x = $8
Cost of adult movie = y = $10.25
What's 2|–9| – |–2|?
Question 7 options:
A)
–18
B)
20
C)
16
D)
–20
Answer: C) 16
Step-by-step explanation:
= 2(9) - 2
= 18 - 2
= 16
Answer:
16, C
Step-by-step explanation:
|-9| is 9
|-2| is 2
2*9 - 2
18-2
16