Solve the equation for x: c a−x/x−a =5x Answer: , a ≠ − 1/5
Answer:
[tex]\large\boxed{x=-\dfrac{1}{5}}[/tex]
Step-by-step explanation:
[tex]\dfrac{a-x}{x-a}=5x\\\\\dfrac{(a-x)}{-(a-x)}=5x\qquad\text{cancel}\ (a-x)\\\\-1=5x\qquad\text{divide both sides by 5}\\\\-\dfrac{1}{5}=\dfrac{5x}{5}\to\boxed{x=-\dfrac{1}{5}}[/tex]
What is the simplified
square root of 130??
I’m really stuck
Answer:
The square root of 130 would be 11.4017543. Rounding to the nearest tenth, we would get 11.4, because the value 0 is below 5. Rounding 11.4 to the nearest whole number, we would get 11, because the value 4 is below 5. So either 11 or 11.4 works, depending on if you are looking for a decimal or a whole number.
Hope this helps ya :D
Final answer:
The simplified square root of 130 is √130 and cannot be further simplified using integers as 130 does not have pairs of identical prime factors.
Explanation:
The question asks for the simplified form of the square root of 130. To simplify a square root, you want to factor the number under the square root into its prime factors and look for pairs of identical factors, because the square root of a pair of identical factors is just that number. In this case, 130 = 2 x 5 x 13, and since there are no pairs of identical factors, we cannot simplify it further without using a decimal or fractional answer. Therefore, the simplified square root of 130 is √130, which cannot be further simplified using integers.
What are the solutions of the equation 4x+21=−(13)x+4+6 ?
Answer is -11/17.
I've attached an image to show you how I got this answer.
11/17 THERE YOU GO YOU ARE WELCOME
10 points help due tomarrow
Answer:
[tex]\boxed{0.2}[/tex]
Step-by-step explanation:
Convert [tex]\dfrac{12}{60}[/tex] to a decimal
Step 1. Reduce the fraction to its lowest terms.
Divide both numerator and denominator by their greatest common factor (12)
[tex]\dfrac{12}{60} =\dfrac{1}{5}[/tex]
Step 2. Convert the denominator to a power of 10
Multiply both numerator and denominator by 2.
[tex]\dfrac{1}{5} \times \dfrac{2}{2} = \dfrac{2}{10}[/tex]
Step 3. Divide the numerator by the denominator
Dividing by 10 moves the decimal point one place to the left.
[tex]\dfrac{2}{10} = \boxed{0.2}[/tex]
Footware manufacturing is projected to decrease output by 8.4% from 2006 to 2016. If footware manufacturing had 1.8 billion dollars of output in 2006, approximately how much output is expected in 2016?
Answer:
The output expected in 2016 is 1.6488 x 10 ^9 or 1.6488 billion
Step-by-step explanation:
The output is decreased by 8.4% from 2006 to 2016.
Amount of output in 2006 = 1.8 billion dollars
Decrease in output = 8.4%
We need to find the 8.4% of 1.8 billion dollars and then subtract the result from 1 billion dollars.
We know 1.8 billion = 1,800,000,000 or 1.8 x 10^9
8.4% of 1.8 billion = 8.4/100 * (1.8 x 10^9)
= 151200000
So, Output expected in 2016 = 1.8 x 10^9 - 151200000
= 1648800000 or 1.6488 x 10 ^9
So, the output expected in 2016 is 1.6488 x 10 ^9 or 1.6488 billion.
Answer:
It would be D
Step-by-step explanation:
$1.65 billion
what is the slope of a line that is perpendicular to the line shown?
*please help
Answer:
[tex]m=\frac{3}{4}[/tex]
Step-by-step explanation:
We can use the slope formula in order to find the slope of the line
[tex]m=\frac{-2-2}{0-(-3)} \\m=\frac{-4}{3}[/tex]
For a line to be perpendicular, it must have a slope that is the negative reciprocal, so that means that we swap the numerator and denominator and then multiply it by -1, this means that
[tex]m=\frac{-4}{3}\\\\m=\frac{3}{-4} \\\\m=\frac{-3}{-4} \\\\m=\frac{3}{4}[/tex]
which statements are true about the ordered pair (-1,5) and the system of equations x+y=4 x-y=-6
Answer:
A) x+y=4
B) x-y=-6
We add both equations and get
2x = -2 so x = -1
and y = 5
So the ordered pair (-1, 5) is the solution to the equations.
Step-by-step explanation:
618 runners registered for the marathon. Of these runners 0.8% completed the race in under 2 hr 15 min. a) how many runners completed the race in this time?
EXPLAIN HOW TO SOLVE THIS
Answer:
Exact = 4.944 Rounded = about 5 Reality = 4 since there can’t be 99.4% of an human.
Step-by-step explanation:
0.8/100 = x/618
618(0.8) = 100x
494.4 = 100x
/100. /100
x = 4.944
The number of runners that completed the race in under 2 hr 15 min will be 5 approximately.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
618 runners registered for the marathon. Of these runners, 0.8% completed the race in under 2 hr 15 min.
Let "N" be the number of runners who completed the race. Then the equation is given as,
0.8% = (N / 618) x 100
0.008 = N / 618
N = 0.008 x 618
N = 4.944
N ≈ 5
The number of runners that completed the race in under 2 hr 15 min will be 5 approximately.
More about the percentage link is given below.
https://brainly.com/question/8011401
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Please do help I'm very confused
Answer: 1,760 centimeters
Step-by-step explanation: Your Answer is above
A car cost $20,000 when it was purchased. The value of the car decreases by 8% each year. Find the rate of decay each month and select the correct answer below. −0.006924% −0.006667% −0.666667% −0.0081%
To find the monthly rate of decay, we convert the annual decay rate of 8% to a monthly rate using the formula for compound interest. The monthly rate comes out to be approximately -0.6734%, which is closest to the provided option of -0.667%.
To find the monthly rate of decay for a car that depreciates 8% annually, we should convert the annual decay rate to a monthly decay rate assuming compound interest. This calculation involves using the formula for converting an annual percentage rate to a monthly rate when compounded monthly:
Monthly rate = [tex](1 + Annual rate)^(1/12)[/tex] - 1
Substitute the given annual rate of decay (-0.08 or -8%) into the formula:
Monthly rate = [tex](1 - 0.08)^(1/12)[/tex] - 1
This calculation gives us:
Monthly rate = [tex](0.92)^(1/12)[/tex] - 1
Approximately -0.006734
Expressed as a percentage, the monthly rate of decay is approximately -0.6734%, which means the correct answer is not exactly presented in the choices. However, the closest value from the options provided is -0.667%.
I need help please?!!!!!):
The mean is the average, add the numbers together and divide by the quantity of numbers:
10 + 12 + 15 + 12 + 13 + 11 + 10 + 13 = 96
96 / 8 = 12
The mean is 12
The median is the middle value.
Rearrange the numbers from smallest to largest:
10 , 10 , 11 , 12 , 12 , 13 , 13 , 15
There are an even amount of numbers, so find the middle two values, add together and divide by 2:
12 + 12 = 24 /2
Median = 12
A moving person travels 24 feet in 7 seconds.The moving sidewalk has a length of 180 feet.how long will it talk to move from one end of the sidewalk to the other
Answer:
=53 seconds.
Step-by-step explanation:
24ft=7sec
180
180 x 7
_______=52.5=53
24
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21 m³. What is the volume of the sphere? 6 m² 7 m³ 14 m³ 28 m³
Answer: Third option
[tex]V_s=14\ m^3[/tex]
Step-by-step explanation:
The volume of a sphere is:
[tex]V_s=\frac{4}{3}\pi r^3[/tex]
Where r is the radius of the sphere
The volume of a cylinder is:
[tex]V_c = \pi r ^ 2 h[/tex]
Where h is the height of the cylinder and r is the radius
We assume that the height of the sphere is its diameter or 2 times its radius.
Then [tex]2r = h[/tex]
[tex]V_c= 21\ m^3=\pi r ^ 2 h[/tex]
[tex]V_c= 21\ m^3=\pi r ^ 2(2r)[/tex]
We solve the equation for r
[tex]\frac{21}{2\pi}=r ^ 3\\\\r= \sqrt[3]{\frac{21}{2\pi}}\\\\r=1.495\ m[/tex]
The radius of the cylinder is equal to the radius of the sphere
Finally
[tex]V_s=\frac{4}{3}\pi (1.495)^3[/tex]
[tex]V_s=14\ m^3[/tex]
If the area of BAC=8, what is the area of EDF. Enter a decimal rounded to the tenths.
PLEASE NEED HELP
Answer:
4.5 in²
Step-by-step explanation:
Given that the triangles are similar then
linear ratio of corresponding sides = 3 : 4, then
ratio of corresponding areas = 3² : 4² = 9 : 16
let the area of ΔEDF be x then by proportion
[tex]\frac{x}{9}[/tex] = [tex]\frac{8}{16}[/tex] ( cross- multiply )
16x = 72 ( divide both sides by 16 )
x = 72 ÷ 16 = 4.5
Area of ΔEDF = 4.5 in²
Find the measure of each interior angle of a regular convex dodecagon. Show equations and all work that leads to your answer.
The exterior angles to any convex polygon sum to 360 degrees in measure, so that for a regular dodecagon (12-gon) each exterior angle has measure
[tex]\dfrac{360^\circ}{12}=30^\circ[/tex]
Exterior angles are complementary to interior angles, which means each interior angle has measure
[tex]180^\circ-30^\circ=\boxed{150^\circ}[/tex]
How do I solve this?
Check the picture below.
the art museum charges $13 for each adult admission and $8 for each child the total bill for the 182 people from a achool trip was $1606 how many adults and children went to the museum?
Answer:
152 kids and 30 adults
Step-by-step explanation:
To solve this, we must create a system of equations
Suppose:
x = the number of adults
y = the number of children
We know that a total of 182 people attended the trip.
So:
x + y = 182
This equation represents the number of people attending the trip.
To find out the cost, look at the problem.
It costs 13$ for one adult and 8$ for a child.
So:
13x + 8y = 1606
This equation represents the total cost to attend the museum. Now, we must solve.
[There are two ways to solve a system of equations, substitution and adding/subtracting. I will use adding and subtracting. The steps to solving the system of equations is in the photos below]
The final answer is 152 kids and 30 adults
I hope this helps!!! :)
Jerry has 61 percent on khan. She needs to get 100 percent in one week. How much percent should she get each night to reach her goal of 100%??????????.
Answer:
She would need to complete 5.57 each noght to reach her goal of 100%.
Step-by-step explanation:
39/7 is equal to 5.57
please help . tjjhhhhhhhh
Answer:
19 - 8√3
Step-by-step explanation:
(-4 + √2)^2
= (-4)^2 + 2(-4)(√3) + √3)^2
= 16 - 8√3 + 3
= 19 - 8√3
Answer:
D
Step-by-step explanation:
note that ([tex]\sqrt{3}[/tex] )² = 3
Given
(- 4 + [tex]\sqrt{3}[/tex] )² = (- 4 + [tex]\sqrt{3}[/tex])(- 4 + [tex]\sqrt{3}[/tex])
Expand using (a + b)² = a² + 2ab + b²
= (- 4 )² + 2(- 4[tex]\sqrt{3}[/tex] ) + ( [tex]\sqrt{3}[/tex] )²
= 16 - 8[tex]\sqrt{3}[/tex] + 3
= 19 - 8[tex]\sqrt{3}[/tex]
What is the smallest prime factor of 1821?
Answer: 3×607
Step-by-step explanation:
Prime factor is a number that can be divided by itself and 1 to get the quotient 0. so according to 1821 this can be divided by 1 and 3 to get a 0 quotient so because 1(unique number ) is not considered as a prime factor 3 is the answer for this question.
Determine the next term in the sequence. 4, -2, 1, -0.5, ...
-1.5
1.5
-0.25
0.25
.25 is the answer because the next number should be half of the previous number and the opposite sign of the previous number.
0.25 is the best answer for the sequence :D
In a circle with a 12-inch radius, find the length of a segment joining the mid-point of a 20 inch cord and the center of the circle
Check the picture below.
How do you do this?
Express the area of a rectangle with length 5m4 and width 6m2 as a monomial
To express the area of a rectangle as a monomial, multiply the length and width. This gives 30m6.
Explanation:The area of a rectangle is calculated by multiplying its length and width. For a rectangle with length 5m4 and width 6m2, to express the area as a monomial, you multiply these two together. So, the area A = 5m4 * 6m2.
In terms of exponents, when we multiply terms with the same base (in this case, m), we add up the exponents. Thus, A = 30m4+2 = 30m6. Therefore, the area of the rectangle expressed as a monomial is 30m6.
Learn more about Monomial here:https://brainly.com/question/9183135
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Please answer right away
Answer:
0.42
Step-by-step explanation:
There are 12 different paths to the end. Five of those paths lead to money.
p(winning money) = 5/12 = 0.42
Which function is the inverse of (x) = -5x-42
Answer:
f-1(x) = (-1/5)x - 42/5
Step-by-step explanation:
f(x) = -5x - 42
Switch the x and y
x = -5y - 42
solve for y
-5y = x + 42
y = (-1/5)x - 42/5
What is the value of f(15) for the given function? What does this value mean in the context of the situation you described in part a?
Answer:
[tex]f(15)=525\ ft^{2}[/tex]
f(15) is the area of the rectangular garden for a width of 15 ft
Step-by-step explanation:
we know that
[tex]f(x)=x(2x+5)[/tex]
where
x----> is the width of the rectangular garden
(2x+5) ----> is the length of the rectangular garden
so
f(15) -----> is the value of f(x) for x=15 ft
That means
f(15) is the area of the rectangular garden for a width of 15 ft
substitute the value of x and solve
[tex]f(15)=15(2(15)+5)[/tex]
[tex]f(15)=525\ ft^{2}[/tex]
Answer:f(15) is the area of the rectangular garden for a width of 15 ft
Step-by-step explanation:
we know that
where
x----> is the width of the rectangular garden
(2x+5) ----> is the length of the rectangular garden
so
f(15) -----> is the value of f(x) for x=15 ft
That means
f(15) is the area of the rectangular garden for a width of 15 ft
substitute the value of x and solve
Step-by-step explanation:
What is the value of X?
These angles are vertical angles meaning that they are equal to each other. Here is the equation for this problem:
x + 40 = 3x
Combine like terms
(x-x) + 40 = 3x - x
40 = 2x
Isolate x
40/2 = 2x/2
x = 20
Hope this helped!
If. F(x) =-3x2-2 and g(x)=4x+2 what is value of (f+g)(2)
Answer:
[tex](f + g) (2) = -4[/tex]
Step-by-step explanation:
We have the functions
[tex]F(x) =-3x^2-2[/tex]
And
[tex]g(x)=4x+2[/tex]
We want to find [tex](f + g) (x)[/tex]
Then
[tex](f+g)(x) = f(x) + g(x)\\\\(f+g)(x) = -3x^2-2 + 4x+2\\\\(f+g)(x)= -3x^2 +4x[/tex]
finally we find [tex](f + g) (2)[/tex]
[tex](f + g) (2) = -3(2)^2 + 4(2)\\\\(f + g) (2) = -3*4 + 8\\\\(f + g) (2) = -12+ 8\\\\(f + g) (2) = -4[/tex]
Answer:
(f+g)2 = 20
Step-by-step explanation:
18. if F(x) =-3x2-2 and g(x)=4x+2 what is value of (f+g)(2)?
We know, (f+g)2= f(2) + g(2)
We will put 2 in the place of x for f(x) and g(x) and then find their result.
Solving:
(f+g)2= f(2) + g(2)
=3(2)^2 -2 + 4(2) +2
= 3(4) -2 + 8 +2
= 12 -2 +8 +2
= 20
So, (f+g)2 = 20
What is the value of -5(3+4)
-35
First, add the contents of the parentheses. 3 + 4 = 7. This gives you -5 * 7.
Now, just multiply. -5 * 7 = -35, so -35 is the answer.
Can someone please help me with this question please.
Step-by-step explanation:
[tex](a)\\h-\text{number of hours}\\\\8\dfrac{1}{5}\cdot h=32\dfrac{4}{5}\\(b)\\\text{convert the mixed numbers to the improper fractions}\\\\\dfrac{8\cdot5+1}{5}h=\dfrac{32\cdot5+4}{5}\\\\\dfrac{41}{5}h=\dfrac{164}{5}\qquad\text{multiply both sides by 5}\\\\41h=164\qquad\text{divide both sides by 41}\\\\h=4[/tex]
[tex]\text{Answer:\ 4\ hours}[/tex]