What is the solution to the equation 9x+27=9( x+2) +9
Answers
Let's solve the equation:
9x + 27 = 9 ( x + 2 ) + 9 ← Distribute 9 to the x and 2
9x + 27 = 9x + 18 + 9 ← Combine like terms
9x + 27 = 9x + 27 ← Subtract 27 from both sides
9x = 9x
0 = 0
{Infinitely many solutions would be correct because no matter what x is, it will always equal each other the both sides of the equation because it is 9 times x on both sides.}
hope this helps..........
Answer:
x=1
Step-by-step explanation:
9x+27=9(x+2)+9
9x+27=9x+18+9
9x+27=9x+27
9x=9x
x=1
Related Questions
In a random sample of 500 college students, 23% say that they read or watch the news every day. Develop a 90% confidence interval for the proportion of all students who read or watch the news on a daily basis. Interpret your results. If you wanted to develop a 95% confidence interval with a margin of error of .01, how many students would need to be surveyed?
Calculate the weighted mean from the following sales: $400, $700, $300, $600, $300, $400, $700
(a) What is the probability that a person who was polled prefers chocolate ice cream to vanilla? Round your answer to four decimal places.
Quadrilateral STRW is inscribed inside a circle as shown below. Write a proof showing that angles T and R are supplementary.
Answers
Answer:
Step-by-step explanation:
Setting up a diagram would be helpful here, so we should have the vertical leg representing the 84-ft. tree and the horizontal leg representing the 120 ft. shadow. With the two measurements we are given, we should use the tangent ratio, opp/adj, to set up an equation to solve for the angle of elevation. So the equation will be:
tan θ = 84/120. Using the tan inverse function on the calculator, we have tan-1( 84/120) = θ and, rounding our decimal value to the nearest 10th, we have θ =35°.
Final answer:
The angle of elevation of the sun, formed by a 94-ft tree and its 110-ft shadow, can be found using tangent in trigonometry. The formula tan(θ) = opposite/adjacent is used, where the opposite is the height of the tree (94 ft) and the adjacent is the length of the shadow (110 ft).
Explanation:
In the given problem, the tree and its shadow form a right triangle with the sun forming the angle of elevation. The length of the tree represents the opposite side of the triangle, and the shadow length represents the adjacent side. To find the angle of the sun's elevation, we can use the tangent function in trigonometry, which is the ratio of the opposite side to the adjacent side.
Step 1: Define variables
Let θ be the angle of elevation.
Opposite side (o) = 94 ft.
Adjacent side (a) = 110 ft.
Step 2: Use the tangent function
The formula is tan(θ) = o/a.
Step 3: Substitute the values
We substitute our variables into the formula to get θ = tan-1(94/110).
Step 4: Calculations
You can calculate this using a scientific calculator to find the angle of elevation.
Learn more about Trigonometry here:
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x^2+8x+ y2 + 4y - 5= 0
Answers
Answer:
Center is at (-4, -2) and the radius = 5.
Step-by-step explanation:
Convert to Standard form:
x^2 + 8x + y2 + 4y - 5= 0
Completing the square:
(x + 4)^2 - 16 + (y + 2)^2 - 4 = 5
(x + 4)^2 + (y + 2)^2 = 5 + 16 + 4
(x + 4)^2 + (y + 2)^2 = 25
(x - h)^2 + (y - k)^2 = r^2 Comparing:-
The center is at (-4, -2) and the radius = 5.
Answers
153.8 = 3.14r^2
Divide each side by 3.14 to get r alone.
48.9 = r^2
Take the square root of each side to isolate r.
r = 6.999
r= 7
r=12.27
153.8-3.14=150.66
150.66 square root is 12.27
Answers
10,033 people total
5,200 people on the home side
rest are visitors
the next step is to figure out your number of visitors. you can find this by: 10,033 - 5,200 = 4,833
so these 4,833 visitors are sitting in 9-equal sized sections. to figure out around how many people sat in each section, you need to divide 4,833 by 9:
4,833/9 = 537
about 537 visitors sat in each section.
Answers
Solution:
Since 5 pounds of meat will feed about 26 people.
Thus;
If she is expecting 156 people, she should prepare;
ANSWER: 30lb
1/2m+3/4n=13 5/6m-2/9n=4
Answers
Answer:
.
21
Step-by-step explanation: