Answer:
y = 8Step-by-step explanation:
[tex]Domain:\\\\2y-8\neq0\ \wedge\ y+4\neq0\ \wedge\ y^2-16\neq0\\\\2y\neq8\ \wedge\ y\neq-4\ \wedge\ y^2\neq16\\\\y\neq4\ \wedge\ y\neq-4\ \wedge\ y\neq\pm\sqrt{16}\\\\y\neq4\ \wedge\ y\neq-4\ \wedge\ y\neq-4\ \wedge\ y\neq4\\\\\boxed{y\neq-4\ \wedge\ y\neq4}\\\\===========================[/tex]
[tex]\dfrac{-8}{2y-8}=\dfrac{5}{y+4}-\dfrac{7y+8}{y^2-16}\\\\\dfrac{-8}{2(y-4)}=\dfrac{5}{y+4}-\dfrac{7y+8}{y^2-4^2}\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\\dfrac{-8}{2(y-4)}=\dfrac{5}{y+4}-\dfrac{7y+8}{(y-4)(y+4)}\qquad\text{multiply both sides by (-2)}\\\\\dfrac{8}{y-4}=-\dfrac{10}{y+4}+\dfrac{14y+16}{(y-4)(y+4)}\qquad\text{add}\ \dfrac{10}{y+4}\ \text{to both sides}\\\\\dfrac{8}{y-4}+\dfrac{10}{y+4}=\dfrac{14y+16}{(y-4)(y+4)}[/tex]
[tex]\dfrac{8(y+4)}{(y-4)(y+4)}+\dfrac{10(y-4)}{(y-4)(y+4)}=\dfrac{14y+16}{(y-4)(y+4)}\\\\\dfrac{8(y+4)+10(y-4)}{(y-4)(y+4)}=\dfrac{14y+16}{(y-4)(y+4)}\qquad\text{use the distributive property}\\\\\dfrac{8y+32+10y-40}{(y-4)(y+4)}=\dfrac{14y+16}{(y-4)(y+4)}\qquad\text{combine like terms}\\\\\dfrac{(8y+10y)+(32-40)}{(y-4)(y+4)}=\dfrac{14y+16}{(y-4)(y+4)}\\\\\dfrac{18y-8}{(y-4)(y+4)}=\dfrac{14y+16}{(y-4)(y+4)}\iff18y-8=14y+16\\\\18y-8=14y+16\qquad\text{subtract 14y from both sides}[/tex]
[tex]4y-8=16\qquad\text{add 8 to both sides}\\\\4y=24\qquad\text{divide both sides by 4}\\\\y=8\in D[/tex]
Answer:
6
Step-by-step explanation:
A red gumball is 2 5/8 inches across. A green gunballnis 2 5/6 inches across and a blue gym all is 2 7/9 inches across. List the gum balls in order from smallest to largest
doreen needs 1/2 of the remaining 3/4 bag of flour to bake a cake. what fraction of the entire bag does she need?
A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. Then 3/8 of the entire bag does she need.
What is Fraction?A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator.
It is given that doreen needs 1/2 of the remaining 3/4 bag of flour to bake a cake. We need to find the fraction of the entire bag does she need.
When Some fraction of another fraction means a fraction is multiplied with the another fraction.
1/2 of the remaining 3/4
one by two times of three by four.
1/2 × 3/4
While multiplying fractions, the numerators are multiplied and the denominators are multiplied.
So 1 and 2 are multiplied on numerator and 2 and 4 are multiplied on denominator.
1×3/2×4
3/8
Hence 3/8 of the entire bag does she need.
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if 152 divided by x equals 36 what would x be?
All but two of the here amid’s built by the ancient Egyptians have faces inclined at 52° angles. Suppose an archaeologist discovers the ruins of a pyramid. Most of the pyramid has eroded, but the length of a side of the square base is 82 m. How tall was the pyramid, assuming it’s faces were inclined at 52°? Round your answer to the nearest meter.
A) 25m
B) 32m
C)52m
D) 105m
Divide. Write your answer as a decimal.
−15.4÷(−2.5)=−15.4÷(−2.5)=
Divide. Write your answer as a decimal.
−15.4÷(−2.5)=−15.4÷(−2.5)=
A small train at an amusement park is carrying passengers. Half of the passengers are 6 years old, 1 over 10 are 7 years old, 1 fifth are 8 years old, and 1 fifth are 9 years old.
What is the expected age for one of the passengers on the train?
6 years
7.1 years
8 years
8.5 years
The expected age for one of the passengers on the train is 7.1 years. This can be explained by following steps:
Following are the calculation for the expected age given
½ = 6 years old
1/10 = 7 years old
1/5 = 8 years old
1/5 = 9 years old
With the help of the above information, expected age can be calculated as follows:
Expected age = ½*6+1/10*7+1/5*8+1/5*9
= 6/2+7/10+8/5+9/5
=3+0.7+1.6+1.8
= 7.1
Therefore, the correct answer is 7.1 years old.
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A machine cuts a strip of carpet into two pieces. The length of the smaller piece is 5 meters greater than the length of the larger piece. If the length of the smaller piece is 12 meters, the length of the bigger piece is meters and the total length of the carpet is meters.
Answer:
The length of the bigger piece is 17 meters
and the total length of the carpet is 29 meters.
Step-by-step explanation:
The length of the smaller piece is 5 meters greater than the length of the larger piece.
i.e. Length of larger piece=Length of smaller piece+5
The length of the smaller piece is 12 meters.
So, Length of larger piece=12+5
=17 meters
Total Length of carpet=Length of smaller piece + Length of larger piece
= 12+17
= 29 meters
Hence, the length of the bigger piece is 17 meters
and the total length of the carpet is 29 meters.
one integer is 30 more than another integer if the difference between the larger and twice the smaller is 8 find the integers
Price Tax Rate Tax
$199 5%
$4,750 6%
$99.50 4.7%
$19.88 6.9%
$8.95 7.2%
$14.27 6.8%
$544.38 4.2%
$7.49 8.1%
$28.56 7.5%
$14.98 4.9%
199 *0.05 = 9.95
4750 * 0.06 = 285
99.50 * 0.047 = 4.68
19.88 * 0.069 = 1.37
8.95 * 0.072 = 0.64
14.27 * 0.068 = 0.97
544.38 * 0.042 = 22.86
7.49 * 0.081 = 0.61
28.56 * 0.075 = 2.14
14.98 * 0.049 = 0.73
Find all the real cube roots of 1000/27
10/3
10/9
-10/9
-10/3
Answer:
10/3
Step-by-step explanation:
What is the sum of 4/10 +3/100
Aubrey can run at a pace of six miles per hour. running at the same rate how many miles can she run in ninety minutes
Aubrey would be able to run 9 miles in ninety minutes.
90 minutes=1.5 hours
6*1.5=9
Hope this helps
With the same rate, Aubrey can run 9 miles in 90 minutes and this can be determined by using the unitary method.
Given :
Aubrey can run at a pace of six miles per hour.
The following steps can be used in order to determine the total miles can Aubrey run in ninety minutes at the same rate:
Step 1 - The unitary method can be used in order to determine the total miles can Aubrey run in ninety minutes at the same rate.
Step 2 - Remember in 1 hour there are 60 minutes.
Step 3 - Remember according to the given data, Aubrey can run at a pace of six miles per hour. That means Aubrey can run six miles in 60 minutes.
Step 4 - If Aubrey can run 6 miles in 60 minutes then in 90 minutes she can run:
[tex]=\dfrac{6}{60}\times 90[/tex]
Step 5 - Simplify the above expression.
= 9 miles
So, with the same rate, Aubrey can run 9 miles in 90 minutes.
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Estimate the product of m and n. Using complete sentences, explain how you got your estimate.
x-2.8=9.5 What does x equal ?
identify an equation in point-slope form for the line parallel to y=1/2x-7 that passes through (-3,-2)
To find an equation in point-slope form for a line parallel to y=1/2x-7 that passes through (-3,-2), we can use the fact that parallel lines have the same slope. The equation of the parallel line is y = (1/2)x + 5/2.
Explanation:To find an equation in point-slope form for a line parallel to y = (1/2)x - 7 that passes through the point (-3, -2), we need to use the fact that parallel lines have the same slope.
The given line has a slope of 1/2, so the parallel line will also have a slope of 1/2.
Using the point-slope form y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope, we substitute the values to get the equation y - (-2) = (1/2)(x - (-3)). Simplifying this equation gives us the final answer: y = (1/2)x + 5/2.
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If x2 = 10, what is the value of x?
A. ±square root of 10
B. ±square root of 20
C. ±5
D. ±20
Answer:
C. ±5
Step-by-step explanation:
Answer:
+square root of 20
for sure i got it right on my test
Step-by-step explanation:
5 (9/12 - 1/4) + 0.5
Evaluate the function rule for the given value. f(x) = 3x for x = –5
Final answer:
To evaluate the function f(x) = 3x for x = –5, substitute in the value to get f(–5) = –15. For the second part, none of the options perfectly match the description, but y = x² is closer as it is a quadratic function.
Explanation:
To evaluate the given function rule f(x) = 3x for x = –5, you simply substitute –5 in for x in the function. Here is the calculation:
f(–5) = 3 * (–5) = –15
Now, regarding the second part of the question, at x = 3, the function f(x) has a positive value with a positive slope that is decreasing in magnitude with increasing x. The function y = x² fits this description because it is a quadratic function where the slope (the derivative) is 2x. At x = 3, the slope is positive (2 * 3 = 6), and as x increases, the slope increases, but the rate of increase in slope (the second derivative) is constant, not decreasing. Hence, neither option a nor b perfectly fits the condition of a positive slope that is decreasing in magnitude with increasing x. However, option b, y = x², is closer to the description compared to the linear option a, y = 13x, which has a constant slope.
how many meters does it take to make 1 kilometer
Where is the answer to the image of finding the area of the irregular shape that I emailed last night?
Write the polynomial in standard form and identify the degree and leading coefficient of the polynomial.
-x + 19x2 + 1
-x + 19x2 + 1 Degree:1; Leading Coefficient: -1
19x2 - x + 1 Degree: 19; Leading Coefficient: 1
19x2 = x + 1 Degree: 2; Leading Coefficient: 19
19x2 - x + 1 Degree: 2; Leading Coefficient: 19
20 points and brainliest to the fastest, right answer!
Please answer ASAP: Use cross products to determine which of the following proportions are equivalent to each other.
Select all situations that apply.
a/b=c/d
a/c=b/d
a/d=c/b
b/a=d/c
d/a=c/b
1_9644=100000 rounded to the nearest hundred thousand
When rounding 1,964,400 to the nearest hundred thousand, the answer is 1,900,000.
Explanation:When rounding 1,964,400 to the nearest hundred thousand, we look at the digit in the hundred thousands place. If it is 5 or greater, we round up. If it is less than 5, we round down. In this case, the digit is 4, so we round down. Therefore, 1,964,400 rounded to the nearest hundred thousand is 1,900,000.
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Which of the following sets of numbers have a LCM of 60? a. 3, 12, 8 b. 4, 10, 12 c. 10, 8, 20 d. 15, 30, 3
Answer:
Im pretty sure its b. 4, 10, 12
Step-by-step explanation:
Answer:
it is b. 4, 10, 12 SORRY FOR ANSWERING LIKE 4 YEARS LATER LOL
Step-by-step explanation:
When solving for a system of equations, if you get an answer of 6=0, what does this solution mean regarding the solution to the system ?
Simone is in a bike a thon for a fundraiser. she recives 15 dollars. for each mile she bikes if she wants to raise 510 dollars how many miles does she need to bring ke
Joy organized a wedding.
Guests had to choose their meal from beef, chicken or vegetarian.
1/3 of the guests chose beef
5/12 of the guests chose chicken
23 of the guests chose vegetarian
How many guests were at the wedding?
A kennel has 115 dogs in total some are puppies and some are adult dogs.The ratio of puppies I to adult dogs in a kennel is 2:3 How many puppies are there?
You measure the width of a doorway and find that it is 0.93 m wide. Find the greatest possible error of your measurement
Answer:
0.5 m
Step-by-step explanation:
The greatest possible error is 1/2 of the unit you are measuring in.
We are measuring in meters; this means the greatest possible error is 0.5 m.
Answer:
The right answer is 0.005m
Step-by-step explanation:
The greatest possible error in a measurement is the half of the measuring unit, it is one hald of the precision unit.
To solve it first you should recognize the measurement unit, in this case meters.
Then, because it is 0.93, you should notice that the last decimal occupies the place of the hundredth, so the GPE might be: 0.01/2 equal to 0.005, your answer.
a spool of ribbon has 18 feet on it. pieces measuring of 8 inches will be cut from the spool of ribbon. how many 8 inch segments will be cut from the spool of ribbon
show work
By dividing the total length by the length of the pieces, we conclude that we can make 2 of these pieces.
How many 8 inch segments will be cut?To get this, we need to divide the total length by the length of the desired pieces, and then round to the next (lowest) whole number.
Then we get:
N = 18ft/8ft = 2.25
Rounding to the next whole number we get 2, so we conclude that with 18t of ribbon we can make 2 pieces of 8ft each.
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