Answer:
The number is 39
Step-by-step explanation:
Turn English into Math and solve for n:
142+n=64+3n
78+n=3n
78=2n
39=n
So the number must be 39
The info is in the picture
Domain?
Range?
Answer:
Step-by-step explanation:
7.
Domain : { x | -2 < x < 2 } (x such that x is greater than -2 and less than 2)
Range: { y | 1 < y < 5 } (y such that y is greater than 1 and less than 5)
8.
Domain: { x | x € ℝ } (x such that x is all real numbers)
Range: { y | x € ℝ } (y such that y is all real numbers)
A pebble is dropped into a deep well and 3s later the sound of a splash is heard as the pebble reaches the bottom of the well. The speed of sound in air is about 340 m/s. How long will it take fir the pebble to hit the water? How long does is take for the sound to reach the observer? What is the depth of the well? (I need the equation)
Answer:
[tex]2.89\ \text{s}[/tex]
0.11 seconds
[tex]37.4\ \text{m}[/tex]
Step-by-step explanation:
[tex]t_1[/tex] = Time taken by the pebble to hit the water
[tex]t_2[/tex] = Time taken by the sound to travel to the observer
[tex]t_1+t_2[/tex] = Time taken by the observer to listen to the splash after stone is thrown = 3 s
[tex]t_1=3-t_2[/tex]
a = g = Acceleration due to gravity = [tex]9.81\ \text{m/s}^2[/tex]
[tex]u_s[/tex] = Speed of sound = 340 m/s
The distance traveled by the pebble
[tex]s=ut+\dfrac{1}{2}at_1^2\\\Rightarrow s=0+\dfrac{1}{2}\times9.81(3-t_2)^2\\\Rightarrow s=4.905(9+t_2^2-6t_2^2)[/tex]
Distance traveled by the sound
[tex]s=u_st\\\Rightarrow s=340\times t_2[/tex]
The distance traveled by the sound and the pebble is equal
[tex]4.905(9+t_2^2-6t_2)=340\times t_2\\\Rightarrow 9+t_2^2-6t_2=\dfrac{340}{4.905}t_2\\\Rightarrow 9+t_2^2-6t_2=69.32t_2\\\Rightarrow t_2^2-75.32t_2+9=0\\\Rightarrow t_2=\frac{-\left(-75.32\right)\pm \sqrt{\left(-75.32\right)^2-4\times \:1\times \:9}}{2\times \:1}\\\Rightarrow t_2=75.2,0.11[/tex]
Since [tex]t_1+t_2=3[/tex] the value of [tex]t_2[/tex] cannot be greater than 3.
So, time taken by the sound to reach the observer is 0.11 seconds.
Time taken by the pebble to hit the water is [tex]t_1=3-t_2=3-0.11=2.89\ \text{s}[/tex]
Depth of the well is [tex]s=340t_2=340\times 0.11=37.4\ \text{m}[/tex]
1/2 x + y = 8 and 2y = x + 14 pls show your work thx
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the price of 6 pretzels is 5.10$. Simon and Sofia bought 8 pretzels and shared the cost equally. how much did each person pay
Answer:
Simon and Sophia payed $3.40 each.
Step-by-step explanation:
5.10/6= 0.85
0.85 dollars per pretzel.
0.85*8= 6.8
Simon and Sophia payed $6.80 together.
6.80/2= 3.4
Simon and Sophia payed $3.40 each.
Answer:
They each pay $3.40.
Step-by-step explanation:
I took 6 and divided $5.10 into 6 to get the cost per pretzel. Then, I multiplied the cost of one pretzel by 8, and divided by two to evenly split the cost between Simon and Sofia. Hope this helps!!
Simplify
√
150
fully, giving your answer in the form
a
√
b
Answer:
this is fhe cordecr answer for rhis
[tex]5 \sqrt{6} [/tex]
To find the inverse of f(x) = 2x – 1, Patel begins by replacing f(x) with y. He then switches x and y. What is the next step?
A.Solve the equation for x.
B.Subtract 1 from both sides of the equation.
C.Solve the equation for y.
D.Replace y with f–1(x).
it a
Answer:
Step-by-step explanation:
C. Solve for y
write this number in scientific notation 29,400,000
What are the answers to all problems?
w
Step-by-3s fwefsdfhksvfjhasdfjkayweh cvfkhgjsedfcwjke,shcfv ksajdghmcva sdj,hmcndsafsdfvhkyiuo;p./9;;-0../[]0-9,p9ol8-0.9[,u90yml98kn7b4563v45gcw43qxdc234v543b65ntoumyp,.09/[7pyotiyurtrhsgdf
Could you zoom in. I can't really see it
Solve the absolute value equation. Graph the solution. |x-3|=1
Answer:
4
Step-by-step explanation:
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Jacob earns $7.25 an hour at his part-time job, and earns $9 each time he mows the lawn for his mother. He graphs the amount of hours he works at his job (x) and the number of lawns he mows (y) to determine how to earn at least $300. Which type of boundary line should he use in his graph?
Answer:
$7.25 at part-time job $9.00 every time lawn mowed so he would get 33.33 day so we will just say 33 times to get 300 dollars if he gets $9 for mowing. And 41.37 hours to get $300 and he would have to use x and y graph to find the boundary line.select the correct answer.
simplify the following expression.
(1/7x +3/8) +(2/8x - 1/8)
A. -5/63x +1/2
B.23/63x +1/2
C.3/16x + 1/4
D.23/63x + 1/4
Determine if each statement is true or false.
a) If a number is divisible by 10, then its ones digit is 0.
b) If a prime number is greater than 2, it is odd.
c) If a number is a perfect square, then it has only 3 factors.
d) If 21 -5 = 13, then I=4.
: True
*: False
Answer:
a. true
b. false
Step-by-step explanation:
Mike had to call a plumber. The plumber charged $55 for the service call plus, plus $22 for parts, and an hourly rate. He worked on the job for 3 hours. If Mike was charged $152, how much did the plumber charge per hour?
pls include the equation.
Answer: the answer is $456 and that is correct
Step-by-step explanation:
152×3= $456
5. The side of a square is (3x - y). What is the perimeter of the square?
a. 12x - 4y
b. 12x -Y
c. 6x-2y
d. 12x + 4y
I need help plzzz
Answer:
A) 12x-4y
Step-by-step explanation:
Since a square has a perimeter of P=4s, then P=4(3x-y)=12x-4y, therefore A is the correct option.
Anita buys a computer for $391 in a sale. The sale price is 15% less than the original price. Calculate the original price of the computer.
Answer:
449.65
Step-by-step explanation:
391x.15=58.65
$58.65+$391= 449.65
The problem involves a conversion from feet to miles. How many feet are in one mile? Use the Internet or another resource if you need help.
Answer:
5280
Step-by-step explanation:
I'm American and our system sucks but 1 mile is equal to 5280 feet
May I have brainliest please? :)
Answer:
I'm American and our system sucks but 1 mile is equal to 5280 feet
Item 12 You need to read 20 poems in 5 days for an English project. Each poem is 2 pages long. Evaluate the expression 20×2÷5 to find how many pages you need to read each day.
Answer:
8 pages
Step-by-step explanation:
It is given that,
You need to read 20 poems in 5 days for an English project. Each poem is 2 pages long.
We need to find no of pages you need to read each day. Let the no of pages are x. It can be calculated as follow :
[tex]x=20\times 2/5\\\\=20\times \dfrac{2}{5}\\\\=4\times 2\\\\=8[/tex]
Hence, there are 8 pages you need to read each day.
What is 4.571428571428571 as a fraction in simplest form?
Answer:
457/100
Step-by-step explanation:
just move the decimal to the right twice and put a hundred underneath
Find an equivalent fraction for each.
Just do one answer
Answer:
3/100=0.03.
second one.
60/10=6.
Answer:
see below
Step-by-step explanation:
just cross multiply:
10 (x) = 3 (100)
x = 300 / 10
x = 30
same as above, just cross multiply:
100 (x) = 60 (10)
x = 600 / 100
x = 6
Write an equation in slope-intercept form of the line that passes through the points (4,1) and (8,2)
Answer:
y=1/4x
Step-by-step explanation: in image below
Henry incorrectly said the rate 1/5 pound/1/10 gallon can be written as the unit rate 1/50 pound per gallon . What is the correct unit rate? What was Henry's likely error?
Answer:
What is the correct unit rate?
The correct unit rate = 2 pound per gallon
What was Henry's likely error?
Henry's likely error was that instead of dividing the fractions he multiplied them
Step-by-step explanation:
Henry incorrectly said the rate 1/5 pound/1/10 gallon can be written as the unit rate 1/50 pound per gallon .
What is the correct unit rate?
The correct unit rate
= 1/5 / 1/10
= 1/5 ÷ 1/10
= 1/5 × 10/1
= 2 pound per gallon
What was Henry's likely error?
Henry's likely error was that instead of dividing the fractions he multiplied them
1/5 / 1/10
Henry calculated it : = 1/5 x 1/10 = 1/50
This is wrong.
The correct step is given below
1/5 / 1/10
= 1/5 ÷ 1/10
= 1/5 × 10/1
= 2 pound per gallon
2. Manakah yang merupakan PLSV? Jelaskan!
a. 2x + 5 25
b. y + 10 = 7
C. x+3y = 12
d. x + 2 = 10
Step-by-step explanation:
10 -3 10+3*-3= 12 x=10-8=6
Laura makes a down payment of $2700 on a new car and for 2 years monthly payments of $495 what is the actual cost of the car ?
Question 1 of 10
Use the substitution method to solve the system of equations. Choose the
correct ordered pair.
2x + 4y = 14
X= 3
O A. (3,5)
B. (2,3)
C. (3,12)
PREVIOUS
Type here to search
o
Answer:
The Answer is (3,2) I took the test on A.P.E.X.
Find the number, pls show your work!
68 less than 5 times a number is equal to the number. What is the number?
Answer:
17
Step-by-step explanation:
5x-68=x
5x-x=68
4x=68
x=68/4=17
9. 1.3(c – 4) ≤ 2.6 + 0.7c
Answer:
c ≤ 13
I think what was the question tho
Step-by-step explanation:
Write the equation of the line, in point-slope form, that has a slope of and passes through the point (-6, 4). Fill in point-slope form. Y-___ =___(x-__)
Answer:
y - 4 = -5(x - -6)
Step-by-step explanation:
its correct
A wooden cube has a volume of 216 cubic centimeters. What is the length of one side of the cube?
Answer:
6
Step-by-step explanation:
In order to calculate length of one of the side we would need to find the cube root. The cube root of 216 would be 6 as 6*6*6 would be 216
Answer:
6
Step-by-step explanation:
The volume of a cube is length squared.
The square root of 216 is 6, therefore the length is 6 centimeters.
Todd is traveling to Mexico and needs to exchange 400 US dollars into Mexican pesos. If each dollar is worth 12.29 pesos, how many pesos will he get for his trip?
What is 31.68 - 19.55 =
Answer:
12.13
Step-by-step explanation:
Please tell me if I'm correct!
Answer:
12.13
Step-by-step explanation: