Answer:
5/3
Step-by-step explanation:
1.6 repeating is equal to 5/3
The repeating decimal 1.6 can be written as the simplified fraction 5/3.
To rewrite the decimal 1.6 repeating (1.6) as a simplified fraction, we can use algebraic manipulation. Let's denote 1.6 as x:
x = 1.6
Now, to eliminate the repeating decimal, we can multiply both sides of the equation by 10 (since there is one digit repeating after the decimal point):
10x = 16.6
Next, subtract the original equation from the multiplied equation to eliminate the repeating decimal:
10x - x = 16.6 - 1.6
This simplifies to:
9x = 15
Finally, divide both sides by 9 to solve for x:
x = 15 / 9
Now, we simplify the fraction:
x = 5/3
Therefore, the repeating decimal 1.6 can be written as the simplified fraction 5/3.
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Use estimation to determine the product of 15.4 and 5.7
Answer:
about 90
Step-by-step explanation:
15.4 rounds down to 15
5.7 rounds up to 6
15 × 6 = 90
find f(-3) when f(x)=x2-2x+7
Answer:
f(-3) = 22Step-by-step explanation:
f(x)=x² - 2x + 7
To find f(-3) substitute the value of x that's - 3 into f(x). That is for every x in f (x) replace it with - 3
We have
f(-3) = (-3)² - 2(-3) + 7
= 9 + 6 + 7
We have the final answer as
f(-3) = 22
Hope this helps you
a. The formula F=95(K−273.15)+32 converts a temperature from Kelvin K to Fahrenheit F. Solve the formula for K.
K= this is solved
b. Convert 240∘ F to Kelvin K. Round your answer to the nearest hundredth.
240∘F ≈ __ Kelvin
The value of temperature in Kelvin K which has the value 240 degree in Fahrenheit F is 275 K.
How to convert a temperature from Kelvin?The formula to convert a temperature from Kelvin K to Fahrenheit F is,
[tex]F=95(K-273.15)+32[/tex]
Here, K is Kelvin and F is Fahrenheit.
Solve the formula for K in the following way,
[tex]F=95(K-273.15)+32[/tex]
Subtract 32 both side,
[tex]F-32=95(K-273.15)+32-32\\F-32=95(K-273.15)[/tex]
Divide, with 95, both side of equation,
[tex]\dfrac{F-32}{95}=(K-273.15)\\\dfrac{F-32}{95}=K-273.15\\\dfrac{F-32}{95}+273.15=K[/tex]
This is the solved equation for K.
To convert 240∘ F to Kelvin K, put the value in the formula given in above equation,
[tex]\dfrac{F-32}{95}+273.15=K\\\dfrac{240-32}{95}+273.15=K\\\dfrac{208}{95}+273.15=K\\2.12+273.15=K\\275.27=K\\K\approx 275[/tex]
Thus, the value of temperature in Kelvin K which has the value 240 degree in Fahrenheit F is 275 K.
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Answer:
240° ≈ 388.71K
Step-by-step explanation:
240° ≈ 388.71 K
(-5, 4) and (4,1)
What is the distance between the two points rounded to the nearest tenth
Answer:
AB=9.49
Step-by-step explanation:
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Carlos is buying drinks to bring to a study group. The table shows some combinations of the drinks he might buy. If Carlos buys 7 bottles of water, how many bottles of lemonade will he buy?
M(x)=x^2-3x
N(x)=x-5
MN(-1)= ?
A.18
B.-20
C.-22
D. -24
Answer:
d. -24
Step-by-step explanation:
M(-1)=(-1)^2-3(-1)
M(-1)=1+3
M(-1)=4
N(-1)=-1-5
N(-1)=-6
MN(-1)=(4)(-6)
MN(-1)=-24
Answer two questions about Equations A and B:
A. 5 = -2(x-1)
B. 5=-2x + 2
1) How can we get Equation B from Equation A?
The value of x for the given equation is -3/2.
The given equation is 5 = -2(x-1).
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Here, 5 = -2(x-1) can be written as 5=-2x + 2.
Now, 5-2=-2x
⇒ 3=-2x
⇒ x=-3/2
Therefore, the value of x for the given equation is -3/2.
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Sarah has 5⅓ cups of cat food. Her cat eats ⅔ of a cup each day. How many days will the food last?
Answer:
It will last 8 days
Step-by-step explanation:
divide 5 1/3 by 2/3
Express your answer as a polynomial in standard form. f(x)= f(x)= \,\,3x^2+6x+5 3x 2 +6x+5 g(x)= g(x)= \,\,-x+3 −x+3 \text{Find: }f(g(x)) Find: f(g(x))
The value of f(g(x)) is, [tex]f(g(x))=3x^{2} -24x+50[/tex]
Composition of function:The given function are,
[tex]f(x)=3x^{2} +6x+5\\\\g(x)=-x+3[/tex]
We have to find [tex]f(g(x))[/tex].
[tex]f(g(x))=f(-x+3)=3(-x+3)^{2}+6(-x+3)+5\\ \\f(g(x))=3(x^{2} +9-6x)-6x+18+5\\\\f(g(x))=3x^{2} +27-18x-6x+23\\\\f(g(x))=3x^{2} -24x+50[/tex]
Thus, the value of [tex]f(g(x))=3x^{2} -24x+50[/tex]
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Write the equation of each line in slope-intercept form
Answer:
y=-2/3 x +2
y=-x+2
Step-by-step explanation:
slope intercept form : y=mx+b
first find the slope :
two points from the graph : (0,2) (3,0)
y=b=2 when x=0 y = the constant b
m=(y2-y1)/(x2-x1)
m=0-2/3-0
m=-2/3
y=-2/3 x +2question 26: two points from graph: (0,2),(1,1)
b=2 ( when x=0, y=b=2)
m=1-2/1-0
m=-1
y= - x+2A rectangle is 28 centimeters long and 9 centimeters wide.
What is the perimeter of this rectangle?
37 cm
0 56 cm
O 65 cm
O 74 cm
N
Answer:
74
Step-by-step explanation:
2(28x9)
74 is the perimeter
A rectangle has an area of 102cm2. The length of the rectangle is 17 cm. What is the perimeter of the rectangle
Answer:
36
Step-by-step explanation:
To find the with divide 102 by 17, we get 6. Then add 6+6+17+17 because we know this is a rectangle and it has 2 with sides and 2 length sides. We get the answer of 36.
Solve for x. 6x+11=3x-10
Cesar has read 89 pages of a book for his
English class. If the book has 257 pages and
he can read 21 pages per hour, how many
hours will it take Cesar to finish the book?
a. 168
b. 8
C. 12
d. 5
Answer:
X=8
Step-by-step explanation:
First subtract the read pages with the unread pages which is 168.
Then let 21 pages = to one hour then 168pages(the remaining pages) = x then cross multiply and divide then your answer will be 8
Find the value for k. then find the angle of the triangle
Answer:
Answer:
k=135
Step-by-step explanation:
180=45+k
-45 -45
_________
135=k
An object is moving at a speed of 2 feet every 8.5 minutes. Express this speed in meters per hour
Answer:
4.30m/hr
Step-by-step explanation:
2 feet/8.5 mins is 0.235294118 feet per minute, which is 4.3030553875397 metres per hour, which to 2 s.f. is 4.30
In meters per hour the speed is 470 meters per hour.
We have an object moving at a speed of 2 feet every 8.5 minutes.
We have to express this speed in meters per hour.
Convert - i). 1 feet to meters 2). 1 minute to hour1 feet = 3.29 meters
1 hour = 60 minutes → 1 minute = [tex]\frac{1}{60}[/tex] hour = 0.017 hr
According to question - We have :
Speed = 2 feet in 8.5 minutes
We know -
1 feet = 3.29 meters
2 feet = 2 x 3.29 = 6.58 meters
and
1 minute = 0.017 hr
8.5 minutes = 8.5 x 0.017 = 0.14 hr
Now -
In 0.014 hr, distance covered = 6.58 meters
In 1 hr, distance covered will be - [tex]\frac{6.58}{0.014}[/tex] = 470 meters/hour
Hence, in meters per hour the speed is 470 meters per hour.
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TWO QUESTIONS !! GEOMETRY
Answer:
1) y= 1x +1
2) -2/5
Step-by-step explanation:
5 + 1/ 4 + 2 = slope of 1
y-5 = 1(x-4) solve for y
y = 1x + 1
A line passes through the points (1,-6) and (4,3) What is the Y intercept of this line?
Answer: b=-9
Step-by-step explanation:
To find the y-intercept of the line, we can use the points given to make an equation. To find the slope, you use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]m=\frac{3-(-6)}{4-1} =\frac{9}{3} =3[/tex]
Now that we know the slope, we can fill in what we know and solve for y-intercept.
y=3x+b
We can plug in any point to solve for y-intercept.
3=3(4)+b [multiply]
3=12+b [subtract both sides by 12]
b=-9
Now, we know that the y-intercept is b=-9.
what is the slope of a line if the equation is y=7x -5
Answer:
7
Step-by-step explanation:
The standard form is y=mx + b where your m value is the slope and your b value is the y-intercept.
So in your case, 7 is your m value therefore 7 being your slope
Hii!
__________________________________________________________
Answer:
Slope is 7! ^^
Step-by-step explanation:
Note that the equation of the line is given to us in slope intercept, y=mx+c.
m=slope | c=y intercept.
The slope intercept formula is
y=mx+c.
The equation this question provided us is.
y=7x-5
Slope=7
--
Hope that this helped! Best wishes.
--
Plrase help ya'll I am going to rip my hair out i'm overthinking
Answer: 31
Step-by-step explanation:
add the 2 lengths of the given parts.
Answer:
jk+kl=kl
15+16=31
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what is each side of the square?
Answer:
S = 14.14
Step-by-step explanation:
The area of a square is S*S or S^2.
So, if we know that the area of the square patio is 200, we can say that
S^2 = 200.
S = sqrt(200)
S = 14.14 ft.
2n/5=10, what is the value of 2n-1
Answer:
49
Step-by-step explanation:
First, multiply 5 on both sides:
2n = 50
Then, we divide 2 on both sides:
n = 25
Now we got the value of n, let's calculate 2n - 1.
First, multiply 2 by n so we can get 2n:
2 * 25 = 50
Then, we calculate 50 - 1:
We got 49, and that's the answer ^^
Hope this helps!
The value of 2n-1 is 49 if 2n/5=10, after applying the concept of a linear equation and the value of n is 25.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
2n/5 = 10
2n = 50
n = 25
Plug the value of n in the expression 2n - 1
= 2(25) - 1
= 49
Thus, the value of 2n-1 is 49.
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what is 3/4 + 1/6? how do you do that
Answer:
answer 11/12
hope this helped you
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Max has 40 fruits consisting of Apples, Mangos, and Peaches. Max has 5 more Apples than Mangos. He also
has four times as many Apples as Peaches. How many Apples does Max have?
Answer:7.5 apples
Step-by-step explanation:
Let the number of mangoes be represented by m
Max has 5 more Apples than Mangos.
Therefore apples = m + 5
Max has four times as many Apples as Peaches. Therefore, peaches = 4(m+5) = 4m + 20
Mangoes = m
Apples = m+5
Peaches = 4m+20
Mangoes + Apples + Peaches = 40
m + m+5 + 4m+ 20 = 40
6m+25 = 40
6m = 40 - 25
6m = 15
m = 15/6
m = 2.5
Apples = m+5 = 2.5 + 5 = 7.5
Max has 7.5 apples
Given f(x) = 2x + 1, find the range value if the domain value is 1.75.
Given:
The function is
[tex]f(x)=2x+1[/tex]
To find:
The range value if the domain value is 1.75.
Solution:
Domain is the set of input values and range is the set of output values.
Here, range value if the domain value is 1.75. It means the value of function f(x) at x=1.75.
Substitute x=1.75 in the given function.
[tex]f(1.75)=2(1.75)+1[/tex]
[tex]f(1.75)=3.5+1[/tex]
[tex]f(1.75)=4.5[/tex]
Therefore, the required range value is 4.5.
why did the chicken cross the road
Answer:
To get to the other side
Obviously
Answer:
"To get to the other side".
What is even the point of that "joke"?:
"Why did the chicken cross the road?" is a common riddle joke, with the answer being "To get to the other side". It is an example of anti-humor, in that the curious setup of the joke leads the listener to expect a traditional punchline, but they are instead given a simple statement of fact.
Which number is IRRATIONAL?
25.23
8
which number is irrational? 25.23 is irrational because 8 is a rational number.
Answer:
None
Step-by-step explanation:
First let's define the meaning of irrational.
It means "no ratio", which is a number that goes on forever without repeating (e.g. pi and the square root of 2)
25.23 is rational and 8 is also rational.
X- (-12)=25
( FIND X)
Step-by-step explanation:
X- (-12)=25
X+12=25
X=25-12
X=13
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Point K is on line segment JL. Given JK = 5x + 7, JL = 2x + 8, and
KL= 4, determine the numerical length of JL.
Answer:
The answer to your question is 8.666666666666.
The total numerical length of the segment JL is 6 units.
Given that,
Point K is online segment JL.
JK = 5x + 7,
JL = 2x + 8, and KL= 4
To determine the numerical length of JL.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
For point K on the line segment JL,
JL = JK + KL
from given,
2x + 8 = 5x + 7 + 4
5x -2x = 8 - 11
3x = -3
x = -1
Now,
JL = 2x + 8
JL = 2 * -1 + 8
JL = 6
Thus, the total numerical length of the segment JL is 6 units.
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Solve 3x -12 = 24.
Please help!
Answer:
12
Step-by-step explanation:
3x - 12 = 24
Add 12 to both sides to make 3x the subject of the equation.
3x - 12 (+12) = 24 (+12)
3x - 0 = 36
3x = 36
Divide both sides by 3.
3x/3 = 36/3
x = 12
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The required solution to the given equation 3x -12 = 24 is x = 12.
What is the algebraic equation?Algebraic equations are mathematical statements with a minimum of two terms containing variables or numbers that are equal.
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The given equation is given in the question
⇒ 3x - 12 = 24
Add 12 to both sides of the above equation
⇒ 3x - 12 (+12) = 24 (+12)
⇒ 3x - 0 = 36
Apply the subtraction operation,
⇒ 3x = 36
Divide both sides by 3.
⇒ 3x/3 = 36/3
⇒ x = 12
Therefore, the required solution to the given equation 3x -12 = 24 is x = 12.
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