Explanation:
Place the decimal point between the first two digits to get 5.0
Then we must move the decimal point 4 spots to the right to get back to 50,000
So that's where the "4" comes in with the 10^4
This means 50,000 = 5 * 10^4 which is in scientific notation.
The answer in scientific notation is 5 times 10^4
The exponent of four tells you to multiply 10 by itself 4 times.
10 x 10 = 100 x 10 = 1000 x 10 = 10000
And 10000 times 5 is equal to 50,000.
A bicycle-sharing station on Main Street has 5 times as many bicycles as a station on Park Avenue. There are 24 bicycles at the two stations. How many bicycles are at the Main Street station?
There are 20 bicycles at the Main Street station.
According to question statement, A bicycle-sharing station on Main Street has 5 times as many bicycles as a station on Park Avenue. There are 24 bicycles at the given two stations.
We are supposed to know the number of bicycles at the Main Street station.
Let us assume that the number of bicycles at the Park Avenue station is "x". Then, number of bicycles at the Main Street station will be "5x".
We will have to form a Linear Equation of single variable "x" as per the conditions based in the question statement, and solving for x, we will obtain our desired answer.
As there are 24 bicycles at the two stations therefore,
[tex]x + 5x = 24[/tex], will be our equation.
Solving the equation for x, we get
[tex]x + 5x = 24\\6x = 24\\x=\frac{24}{6} \\or x=4[/tex]
Therefore the number of bicycles at the Park Avenue station is 4.
And the number of bicycles at the Main Street station will be 5x i.e., [tex]5*4 = 20[/tex].
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help i need answer to this math question???
The solution of the geometrical system is (x, y) = (2.5, 48.5).
What are the missing values associated with a geometrical system?In this question we have a picture representing two lines and a semirray that brings out two formulae for supplementary angles, these are shown below:
(x + 10) + 30 + (3 · y + 2) = 180
x + 3 · y = 148 (1)
30 + (3 · y + 2) + (5 · x - 10) = 180
5 · x + 3 · y = 158 (2)
And now we resolve the entire system of linear equations by substitution:
By (1):
x = 148 - 3 · y
(1) in (2):
5 · (148 - 3 · y) + 3 · y = 158
740 - 15 · y + 3 · y = 158
12 · y = 582
y = 48.5
By (1):
x = 148 - 3 · 48.5
x = 2.5
The solution of the geometrical system is (x, y) = (2.5, 48.5).
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Bilquis wants to ride her bicycle 47.6 miles this week. She has already ridden 8 miles. If she rides for 6 more days, what is the average number of miles she would have to ride each day to meet her goal
The average number of miles she would have to ride each day to meet her goal is 4.7.
It is required to find the average number of miles she would have to ride each day to meet her goal.
What is algebra?A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.
Given:
Bilquis wants to ride her bicycle 47.6 miles this week. She has already ridden 8 miles. she rides for 6 more days.
According to given question we have,
8+4x=26
Rearrange unknown terms to the left side of the equation:
4x=26-8
4x=18
Divide 4 on both sides of the equation we get,
4x/4=18/4
x=18/4
x=4.7
Therefore, the average number of miles she would have to ride each day to meet her goal is 4.7.
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Three men went into a second-hand shop to buy a
television.
It was priced in the window at £30.
Each of them handed over £10 to the shop assistant.
As the assistant opened the till, the manager had a quiet
word with him, "that TV is in the sale and is only £25
now, you will have to give them £5 back."
The assistant was very lazy and couldn't be bothered to
count out the right change for each man.
Instead, he took 5 £1 coins out of the till.
He put two of them in his own pocket and gave each
man £1 back.
Here's the problem:
The men have now paid £9 each for the TV.
The assistant has kept £2 for himself.
3 x £9 = £27.
£27 + £2 = £29.
But £30 was handed over in the first place.
WHERE IS THE MISSING £1?
Step-by-step explanation:
The trick here is to realize that this is not a sum of the money that the three people paid originally, as that would need to include the money the clerk has ($25). This is instead a sum of a smaller amount the people could have paid ($9 × 3 people = $27), added with the additional money that the clerk would not have needed had they paid that smaller amount ($27 paid - $25 actual cost = $2). Another way to say this is, the $27 already includes the bellhop's tip. To add the $2 to the $27 would be to double-count it. So, the three guests' cost of the room, including the bellhop's tip, is $27. Each of the 3 guests has $1 in his pocket, totaling $3. When added to the $27 revised cost of the room (including tip to the bellhop), the total is $30.
To obtain a sum that totals to the original $30, every dollar must be accounted for, regardless of its location.
Thus, the sensible sum can be expressed in this manner:
Compare the fractions -14/21, -3/9
Answer:
It's answer is..-2/7 and -1/3
The distance from the tip of a slice of pizza to the crust is 7 inches.
Does this represent diameter, circumference, or radius?
ANSWER ASAP THANK YOU
Answer:
radius
Step-by-step explanation:
Please answer fast..............................................
Answer:
[tex]V=lwh\\\frac{V}{lw} = \frac{lwh}{lw} \\\frac{V}{lw} = h[/tex]
f (a) = 3a + 2, When
f(a) = 11
Answer:
3
Step-by-step explanation:
Think of "f(a)" like "y" in this context. You can set that equal to 11 and solve for a:
f(a) = 3a + 2
11 = 3a + 2
9 = 3a
3 = a
Got it wrong hehe :)
hhhhhheeeeeeeeeeellllllllllllppppppppppp!!!!!!!!!!!!
Answer:7
Step-by-step explanation:
x[tex]x/y+y/x/x/y-y/x[/tex]
Answer: 1
Step-by-step explanation:
here only taking the power of x in account
we have
[tex]\frac{x}{y} + \frac{y}{x}-\frac{x}{y} - \frac{y}{x}[/tex]
=0
since [tex]x^{0}[/tex] =1
so solution is 1
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Divide 4 and 5 over 6 ÷ negative 2 and 1 over 7.
Answer:
I don't get the question will please can u snap it so I can see it my self and I will help u
Answer: -2 1 over 2
Step-by-step explanation:
If f(1)=1 and f(n)=4f(n-1) what is the value of f(4)?
Answer:
64
Step-by-step explanation:
You have the recursive formula f(1)=1; f(n)=4f(n-1) and you want f(4).
RecursionThe value of f(4) can be found a couple of ways. Perhaps the simplest is to compute the first 4 terms of the sequence using the recursive formula.
f(1) = 1
f(2) = 4·1 = 4
f(3) = 4·4 = 16
f(4) = 4·16 = 64
The value of f(4) is 64.
Explicit formulaThe multiplying factor of 4 on the previous term tells you this is a geometric sequence with a common ratio of 4. The explicit formula is then ...
f(n) = f(1)·r^(n-1) . . . . . n-th term of sequence with common ratio r
f(n) = 1·4^(n-1) . . . . . . formula for f(1)=1 and r=4
For n=4, this is ...
f(4) = 1·4^(4-1) = 4^3
f(4) = 64
Translate the sentence into an equation.
Nine more than the product of a number and 6 is equal to 4.
Use the variable x for the unknown number.
Answer:
6x + 9 = 4
Step-by-step explanation:
how much of an alloy that is 40% copper should be mixed with 400 ounces of an alloy that is 70% copper in order to get an alloy that is 60% copper
The mixture requires 200 ounces of 40% alloy.
What is defined as the mixture?A mixture is a physical combination of two or more substances that retain their identities and are blended as solutions, suspensions, or colloids.
An alloy is a metallic substance made up of two or more elements that can exist as a compound or a solution. Alloy components are typically items, though carbon, a nonmetal, is a necessary component of steel.x = amount of 40% copper
400 = amount of 70% copper
x + 400 = total amount of copper = amount of 60% copper
Set a correctly weighted mixture of x and 300 equal to the a weighted (x+300), in which the weights are decimal percentages;
40% is 0.4, 70% is 0.7, and60% is 0.60.4x + 0.7(400) = 0.6(x + 400)
Solve for x:
0.4x + 280 = 0.6x + 240
0.2x = 40
x = 200
x = 200 ounces of 40% copper.
Therefore, the amount of 40% alloy needed for the mixture is 200 ounces.
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What is 13 1 3 percent as a fraction in simplest form
Answer:
2/15
Step-by-step explanation:
A percent is a number given out of 100
13 1/3% basically is 13 1/3 | 100
You divide and you get 40/3 x 1/100
Simplify by 20 = 40/300 simplify again and you get 2/15.
SOS, is for today!!!!
Given that the total length of the piece of steel is 25in, the numerical lengths of the first, second and third piece of the steel are 3in, 6in and 16in respectively.
What is the numerical length of each piece of the steel?Given the data in the question, let x represent the length of the first piece.
Length of first piece = xLength of second piece = 2xLength of third piece = 5x + 1Total length of the steel = 25 inTo determine the length of each piece, we equate the sum of the pieces to the total length of the steel ( 25in ).
x + 2x + ( 5x + 1 ) = 25
3x + 5x + 1 = 25
8x + 1 = 25
8x = 25 - 1
8x = 24
x = 24/8
x = 3
Hence,
Length of first piece = x = 3 inch
Length of second piece = 2x = 2(3) = 6 inch
Length of third piece = 5x + 1 = 5(3) + 1 = 15 + 1 = 16 inch
Given that the total length of the piece of steel is 25in, the numerical lengths of the first, second and third piece of the steel are 3in, 6in and 16in respectively.
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what is the answer to 6 + 14 = 5x
Answer:
x=4
Step-by-step explanation:
6+14=5x
Add 6 and 14 which is equal to 20.
You will get 20=5x which you will then divide by 5 inorder to solve for x.
X=4
Pull out like factors :
5x - 20 = 5 • (x - 4)
Solve : 5 = 0
This equation has no solution.
A a non-zero constant never equals zero
Solve : x-4 = 0
Add 4 to both sides of the equation :
x = 4
The terminal side of angle θ intersects the unit circle in the first quadrant at x=2/5. What are the exact values of sinθ and cosθ?
Answer:
sin(θ) = (√21)/5cos(θ) = 2/5Step-by-step explanation:
You want the exact values of sine and cosine of the angle whose terminal point is at x=2/5 on the unit circle in the first quadrant.
Pythagorean identityThe coordinates of a point on the unit circle are (cos(θ), sin(θ)). You already know that the x-coordinate is 2/5, so ...
cos(θ) = 2/5
The Pythagorean identity in trigonometric terms is ...
sin²(θ) +cos²(θ) = 1
Then the sine of the angle is ...
sin(θ) = √(1 -cos²(θ))
sin(θ) = √(1 -(2/5)²) = √((25 -4)/25)
sin(θ) = (√21)/5
The exact values of sine and cosine are ...
sin(θ) = (√21)/5cos(θ) = 2/5A large water container has a leak. It loses 40 drops of water every minute. If 50 drops of water is equivalent to half of a teaspoon. At what rate
Is the water leaking?
O 48 teaspoons per hour
24 teaspoons per hour
O 80 teaspoons per hour
O 12 teaspoons per hour
O 20 teaspoons per hour
Use the formula S=n(n+1)/2 to find the sum of 1+2+3+...+600
1+2+3+...600=
Answer:
eueueue
Step-by-step explanation:
the sum of eleven and ten times a number is 1. What is the number?
Answer:
the number is -1
Step-by-step explanation:
11 + 10x = 1 Subtract 11 from both sides
10x = -10 Divide both sides by 10
x = -1
Check:
11 + (10 x -1) = 1
11 + (-10) = 1
PLEASE HELP
In horse racing, a trifecta is a race in which you must pick the first-, second-, and third-place winners in their proper order to win a payoff. If horses are racing, and you randomly select three as your bet in the trifecta, what is the probability that you will win? (Assume that all horses have the same chance to win)
0.0030 is the probability that you will win .
In statistics, what does a probability mean?
The likelihood that an event will occur in a Random Experiment is measured by probability. A number between 0 and 1 is used to quantify probability, where, broadly speaking, 0 denotes impossibility and 1 denotes certainty. The likelihood that an event will occur increases with its probability.Here order of selection is important, so we will use permutation.
Total number of ways to choose 3 horses out of 8 = 8P3 = 8! / (8 - 3)! = 336
P(win) = 1/336 = 0.0030
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100 points Given f(x)=5(3−x), what is the value of f(−2)?
Given - F(x) = 5 × 3-x
F(-2) refers to x = -2
Therefore 5×3-(-2) = 5× (3+2) = 5×5 = 25
Hence 25 is the value of f(-2)
"a number is no more than 26"
Answer:
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25
i need help with this assignment can anyone help
Answer: 18.25
Step-by-step explanation:
5.5*4=22
401.5/22=18.25
Answer:
$18.25
Step-by-step explanation:
Since area is given as A=LW, and we are given the values of the dimensions of the floor, we get:
5.5×4=22
So, the area is 22 yards, and it costs $401.5 to carpet it. Now, We simply need to divide the cost by the area to get the "cost per-square yard" as needed in the question. We get:
401÷22=18.25
So, the cost of the carpet per square yard is $18.25
Given f(x)=3x-5, find f(x-2).
Step-by-step explanation:
1 i think becoz if you shift it will become x= 2 so on putting it on eq. we will get 1
Answer:
Step-by-step explanation:
F(x) = 3x-5
F(x-2) = 3(x-2)-5
3x-6-5
3x-11
0 = 3x-11
11=3x
11/3 = x
The answer would be x = 11/3 or 3.67 I believe.
what is the place value?
what is the answer for 6x + 3(x-2)
Answer:
9x - 6
Hope this helps! <3
(If you need a step by step lmk)
Answer:
6x+3(x-2)
6x+3x-6
9x-6
pls answer if wrong i report
Answer:
D) Dilation and reflection.
→ The shape was dilated by -1.
→ This shape was then reflected upside down.
DilationDilating a shape is the act of making a shape smaller by a scaled amount. Dilation is useful in mathematics when you need to determine difference in shapes' scales factors.
ReflectionReflection is mirroring a shape to its opposite image. For instance, I have triangle ∠ABC', which is facing right. I then reflect this image, and it becomes triangle ∠ABC", which now faces left on the opposite axis.