Answer:
[tex]\displaystyle \frac{265}{99}[/tex]
Step-by-step explanation:
Hi there!
Let [tex]x[/tex] be equal to the fraction form of the decimal.
[tex]x=2.\overline{67}[/tex]
Multiply both sides by 100:
[tex]100x=267.\overline{67}[/tex]
The reason we multiply both sides by 100 is that 2.6767... has two repeating decimals, 6 and 7, and 100 has two zeros.
Now, we have these two equations:
[tex]100x=267.\overline{67}[/tex]
[tex]x=2.\overline{67}[/tex]
Subtract [tex]x=2.\overline{67}[/tex] from [tex]100x=267.\overline{67}[/tex]:
[tex]100x=267.\overline{67}\\- x=2.\overline{67}\\\rule{70}{0.5}\\99x=265[/tex]
Isolate [tex]x[/tex] by dividing both sides by 99:
[tex]\displaystyle x=\frac{265}{99}[/tex]
I hope this helps!
The triangle shown below has an area of 4 units
Find the missing side.
Answer:
[tex]\boxed{4 units}[/tex]
Step-by-step explanation:
Hey there!
Well if the base is 4 and we use the formula,
b*h / 2
4*4 = 16
16/2 = 8
So x is 4.
Hope this helps :)
Answer:
x = 2 unitsStep-by-step explanation:
Area of a triangle is given by
base × height
[tex] A = \frac{1}{2} base × height[/tex]
From the question
Area = 4 units²
height = 4 units
let x represent the base
We have
[tex]4 = \frac{1}{2} \times x \times 4[/tex]
4 = 2x
Divide both sides by 2
x = 2 unitsHope this helps you
PLEASE HELP TO BE MARKED THE BRAINLIEST
If we have line segment AB, and point C is somewhere on AB, then AC+CB = AB through the segment addition postulate.
This is the idea where basically we can glue together two straight lines to form a longer straight line. Or we can go in reverse to break up a line into smaller parts.
square of 2x+3y.Please help me
Answer:
(2x+3y)^2
= (2x)^2 + 2(2x)(3y) + (3y)^2
= 4x^2 + 12xy + 9y^2
Answer:
4x^2 12xy +9y^2
Step-by-step explanation:
(2x+3y)^2
(2x+3y)(2x+3y)
FOIL
4x^2 + 6xy+6xy + 9y^2
4x^2 12xy +9y^2
Which one of these relations are functions ?
Please helpppp fast
Answer:
the 4th and 6th one
Step-by-step explanation:
A function is when there are x- and y-values but each x value has only 1 y-value
Simple: If the x-value is repeated its not a function
Answer:
Step-by-step explanation:
1,2,3
Find h, k, and p
Write the equation in standard form
Identify the missing pieces
Vertex (0,0); focus (0,-4)
Answer:
Step-by-step explanation:
This is a parabola. If we plot the vertex and the focus, we see that the focus is below the vertex. What this tells us is that the parabola opens "upside down" since the parabola wraps itself around the focus. If it opens upside down, then the format for the equation is
[tex]4p(y-k)=-(x-h)^2[/tex]
where p is the distance between the vertex and the focus (4), h is the first coordinate of the vertex (0), and k is the second coordinate of the vertex (0). Filling in the formula then:
[tex]4(4)(y-0)=-(x-0)^2[/tex] which simplifies down to
[tex]16y=-x^2[/tex] and then finally,
[tex]y=-\frac{1}{16}x^2[/tex]
4. Define Adjacent Angles.
Answer:
hope this helps
Step-by-step explanation:
Adjacent angles are two angles that have a common side and a common vertex (corner point) but do not overlap in any way.
Answer:
the two angles that have a common sides and a common vertex but do not overlap in any way is called adjacent angles.
A father's age now is three times the age that his son was 4 years ago. In 12 years, the father will be twice as old as his son. find their ages now.
Answer:
the dad is 60 im not sure about the son
Step-by-step explanation:
Which of the c-values satisfy the following inequality? 2>c/3
Answer:
[tex]\Large \boxed{{c<6}}[/tex]
Step-by-step explanation:
2>c/3
Multiply both sides of the inequality by 3.
2(3)>c/3(3)
6>c
Switch sides.
c<6
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
Let's solve your inequality step-by-step.
[tex]2 > \frac{c}{3}[/tex]
Step 1: Simplify both sides of the inequality.
[tex]2 > \frac{1}{3}c[/tex]
Step 2: Flip the equation.
[tex]\frac{1}{3}c < 2[/tex]
Step 3: Multiply both sides by 3.
[tex]3 * (\frac{1}{3} c) < ( 3) * (2)\\c < 6[/tex]
Answer : [tex]\boxed {c < 6}[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
If line ℓ is parallel to plane P, how many planes containing line ℓ can be drawn parallel to plane P?
Answer:
One
Step-by-step explanation:
Only one plane containing line ℓ can be drawn parallel to plane P
I got this wrong please help me get the right answer in the first little box marked in red. thx
Answer:
The inverse is 1/2x +2
Step-by-step explanation:
f(x) = 2x-4
y= 2x-4
To find the inverse
Exchange x and y
x = 2y-4
Solve for y
Add 4 to each side
x+4 = 2y
Divide by 2
x/2 + 4/2 = 2y/2
1/2x +2 = y
The inverse is 1/2x +2
6cos(20πt-π)+6√3cos(20πt-π\2)
Answer:
Answer is -6t
Step-by-step explanation:
[tex]{ \tt{ = (6 \cos(20\pi t) \cos(\pi) + 6\sin(20\pi t) \sin(\pi) ) + 6 \sqrt{3} ( \cos(20\pi t) \cos( \frac{\pi}{2} ) + \sin(20\pi t) \sin( \frac{\pi}{2} )) }} \\ = { \tt{ (- 6t + 0) + (0 + 0)}} \\ = { \tt{ - 6t}}[/tex]
Note that π is 180°
if g(x) is x-3 then what is g(3x)
Work Shown:
g(x) = x-3
g(3x) = 3x-3
We simply replaced every x with 3x. There isn't much else to show in terms of work. I suppose you could factor out the GCF to say g(3x) = 3(x-1), but that isn't much of a simplification in my opinion.
Answer:
Step-by-step explanation:
The meaning of g(x) = x - 3 is that whatever you put in the x on the left, you will put in the x on the right.
g(3x) = 3x - 3 is the correct answer.
Choice #1: Marie made an error when solving the equation below.
Part A: Identify Marie’s error and explain why it resulted in an incorrect solution.
Part B: Correctly solve 4x - 8 = 36 for x. Show your work.
Answer:
Marie´s error was not to consider the number 8:
4x - 8 = 36
it´s equal to:
(4x-8)/4 = 36/4
4x/4 - 8/4 = 36/4
x - 2 = 9
x = 9+2
x = 11
probe:
4*11 - 8 = 36
44 - 8 = 36
Marie did not add 8 on the right-hand side so by considering it the solution of the given equation will be 11.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
In another word, the equation must be constrained with some constraints.
As per the given equation,
4x - 8 = 36
Marie add +8 on the left-hand side but forgot to add it to the right-hand side.
Thus, add +8 on the left as well as the right-hand side.
4x - 8 + 8 = 36 + 8
4x = 44
x = 11
Hence "Marie did not add 8 on the right-hand side so by considering it the solution of the given equation will be 11".
For more about the equation,
brainly.com/question/10413253
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Help on this pls if you don’t mind
Answer:
(B) 3
Step-by-step explanation:
Remember that a parallel lines always have the same slope!
After Marshall's alarm went off, he spent 3/4 hr getting ready for school. He walked 1/6 hr to the bus stop, waited 1/12 hr, rode1/4 hr, and arrived at school at 8:30 A.M..What time did his alarm go off?
Answer:
7:15 am
Step-by-step explanation:
1. Add the times together by finding a common denominator
3/4 = 9/12
1/6 = 2/12
1/12 = 1/12
1/4 = 3/12
9/12 + 2/12 + 1/12 + 3/12 = 15/12
It took him 15/12 of an hour in total.
2. Convert to hours
15/12 = 1 3/12
3/12 = 1/4
1/4 of an hour is 15 minutes.
I took him a total of 1 hour and 15 minutes.
3. Subtract 1 hour and 15 minutes from 8:30
8:30 - 1:15 = 7:15
A table costs Rs 720 to make. He sells it for Rs 920. What percentage of profit did he earn?
Answer:
27 7/9%
Step-by-step explanation:
Take the selling price and subtract the cost
920 -720 = 200
Divide it by the cost
200/720
.27777777
Change to percent form
27.777777%
27 7/9%
Answer:
profit percentage = 27.8 %Step-by-step explanation:
To find the percentage of profit we use the formula
[tex] \frac{profit}{cost \: \: price \: } \times 100[/tex]
Subtract the cost price from the selling price to obtain the profit
Cost price = Rs 720
Selling price = Rs 920
Profit = Rs 920 - Rs 720 = Rs 200
So the profit percentage is
[tex] \frac{200}{720} \times 100[/tex]
We have the final answer as
profit percentage = 27.8 %Hope this helps you
On a cold February morning, the temperature of the radiator fluid in Stanley’s car is . When the engine is running, the temperature of the fluid goes up per minute. Approximately how long will it take before the radiator fluid temperature reaches ?
Answer:
18.18 min
Step-by-step explanation:
The complete question is
On a cold February morning, the radiator fluid in Stanley’s car is -18F. When the engine is running, the temperature goes up 5.4 F per minute. Approximately how long will it take before the radiator fluid temperature reaches 80 F?
The initial temperature of the engine [tex]T_{1}[/tex] = -18 F
rate of increase in temperature r = 5.4 F/min
Final temperature [tex]T_{2}[/tex] = 80 F
Difference in temperature ΔT = [tex]T_{1} -T_{2}[/tex] = 80 - (-18) = 98 F
time taken to reach this 80 F will be = ΔT/r
where ΔT is the difference in temperature
r is the rate of change of temperature
time taken = 98/5.4 = 18.18 min
Which equation has a constant of proportionality equal to 3? A. y= 8/5 x B. y= 1/3 x C. y= 1/4 x D. y= 18/6 x PLEASE HELP ME :c
Answer:
(D) [tex]y=\frac{18}{6}x[/tex]
Step-by-step explanation:
We will be able to know if an equation has a constant of proportionality of 3 if the constant which is being multiplied by x is equal to 3.
[tex]\frac{8}{5} =1.6[/tex] so no for A.
[tex]\frac{1}{3} = 0.\overline{33}[/tex] so no for B too.
[tex]\frac{1}{4} = 0.25[/tex] so no for C as well.
[tex]\frac{18}{6} = 3[/tex], so D works.
Hope this helped!
Y = 0.2(0.35)^t decay rate
Answer:
Step-by-step explanation:
At 1 year old it is: e1 = 2.7 mm high ... really tiny!
At 5 years it is: e5 = 148 mm high ... as high as a cup
At 10 years: e10 = 22 m high ... as tall as a building
At 15 years: e15 = 3.3 km high ... 10 times the height of the Eiffel Tower
At 20 years: e20 = 485 km high ... up into space!
PRACTICE
List the factors of each number.
1. 16,
2. 39
3. 50
for each pair of numbers.
Answer:
1. 1 & 16, 2 & 8, 4 & 4
2. 1 & 39, 3 & 13
3. 1 & 50, 2 & 25, 5 & 10
Each day the chill canteen meal can be 1 of three things. The probability that it is pizza is 0.3. The probability that it is curry is 0.42. What is the probability that it is pasta
Its [tex]1-0.3-0.42=0.28[/tex].
Hope this helps.
1 - 0.3 - 0.42= 0.28
hope you understand.
show that the point p(-6,2), Q(1,7) and R(6,3) are the vertices of scalene triangle
Answer:
the sides are different lengths as shown in the diagram
Step-by-step explanation:
Plotting the three points, you can see by "inspection" that the middle length side (PQ) is longer than the shortest side (QR) and shorter than the longest side (PR). You could use the distance formula to show this, or you can use a scale to measure the drawing.
A triangle with three unequal sides is a scalene triangle. ∆PQR is scalene.
-2x-7+9-2= Please can i have an answer
Answer:
-2x
Step-by-step explanation:
-2x-7+9-2
Combine like terms
-2x +0
-2x
Answer:
-2x
Step-by-step explanation:
from the question
-2x-7+9-2=
step 1
collect the like terms
we have,
-2x-7+9-2
-2x + 2 -2
-2x + 0
-2x
therefore the answer to the question -2x-7+9-2 is equal to -2x
what is x? x=? y= -2 y+2=-3(x-4)
[tex]-2+2=-3(x-4)\\0=-3x+12\\3x=12\\x=4[/tex]
URGENT! What is the period for the cotangent function? (Answer in radians.)
it is [tex]\pi[/tex]
since period of tangent is $\pi$ ,so the period of reciprocal will also be same
The period for the cotangent function is π radians.
How do I find the period of a function?
The period for function y = A sin(Bx + C) and y = A cos(Bx + C) is 2π/|B| radians. Frequency is described as the wide variety of cycles completed in one 2d. If the duration of a function is denoted via P and f is its frequency, then –f =1/ P.
What is the period of tangent and cotangent?The tangent function has period π. f(x)=Atan(Bx−C)+D is a tangent with vertical and/or horizontal stretch/compression and shift. The cotangent function has period π and vertical asymptotes at 0,±π,±2π, The range of cotangent is (−∞,∞), and the function is decreasing at each point in its range.
Learn more about the Cotangent function here https://brainly.com/question/2263992
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The temperature on a winter was -23 °F. The temerature rise by 5 °F when the sun came up. When the sun set again, the temperature dropped by. 7°F. Write and evaluate an exspression to find the temperature after the sun set.
Answer:
-25
Step-by-step explanation:
First, add 5 to -23 since the temperature is getting hotter.
so -23 +5= -18
Second, minus the answer by 7 since the temperature is now falling down after the sunset.
so -18 -7 = -25
or...
this step can be simplified as:
-23 +5 -7 =. -25
4 > - 4404 true or false
Answer:
True
Step-by-step explanation:
-4404 is always smaller than 4Answer:
true as positive are bigger than negetive
Step-by-step explanation:
7 is subtracted from the quotient of 48 divided by the sum of 5 and differences of 11 and 8
Write it out as an equation:
(48 /(5+(11-8))) -7
Simplify:
(48/(5+3))-7
(48/8)-7
6-7 = -1
The answer is -1
Two mechanics worked on a car. The first mechanic charged $85 per hour, the second mechanic charged $90 per hour. The mechanic worked for a combined total of 25 hours, and together they charged a total of $2200. How lond did each mechanic work?
Answer:
First mechanic worked for = 10 hours
Second mechanic worked for = 15 hours.
Step-by-step explanation:
Let the number of hours the First mechanic worked = X
Let the number of hours the Second mechanic worked = Y
The first mechanic charged = $85 per hour
The second mechanic charged = $90 per hour
We are told in the question that: The mechanic worked for a combined total of 25 hours, and together they charged a total of $2200
Hence, we have the following equations from the above question
85X + 90Y = 2200....... Equation 1
X + Y = 25 ........ Equation 2
X = 25 - Y
Substitute 25 - Y for X in equation 1
85(25 - Y) + 90Y = 2200
2125 - 85Y + 90Y = 2200
Collect like terms
5Y = 2200 - 2125
5Y = 75
Y = 15
Since Y is the number of hours the second mechanic worked, hence, the second mechanic worked for 15 hours.
X + Y = 25 ........ Equation 2
Y = 15
X + 15 = 25
X = 25 - 15
X = 10
Since X represents the number of hours that the first mechanic worked, hence, the first mechanic worked for 10 hours.
Therefore, the first mechanic worked for 10 hours and the second mechanic worked for 15 hours.
what is the slope of the line? please help
Answer:
Here, we see that the slope (m) equals -1.
Step-by-step explanation:
m=Rise/Run
-2/2=-1
Hope it helps:)