given
[tex] \frac{x - 2}{x - 5} [/tex]
put x = 6 into equation
[tex] \frac{6 - 2}{6 - 5} [/tex]
[tex] = \frac{4}{1} [/tex]
[tex] = 4[/tex]
Final answer:
The value of the rational expression (x-2)/(x-5) when x is 6 is 4.
Explanation:
To find the value of the rational expression x-2/x-5 when x is equal to 6, simply substitute the value of x into the expression:
((6-2)/(6-5) = 4/1 = 4)
So, the value of the expression when x is 6 is 4.
0. Kevin needs to buy shrubs for his yard. Six shrubs at the nursery cost $72.00. At the garden
store, 6 shrubs cost $66.00. How much will be save if he buys 21 shrubs from the garden store
compared to if he had bought them at the nursery?
$12.00
6 Shows
67ttoo
By calculating the cost per shrub at both the nursery and the garden store, then multiplying by 21 shrubs, we find that Kevin saves $21.00 by purchasing from the garden store instead of the nursery.
Explanation:Kevin is trying to decide between two stores to purchase a total of 21 shrubs for his yard. In order to calculate how much money Kevin can save by choosing the garden store over the nursery, we will need to determine the cost per shrub at each location and then multiply by the total number of shrubs Kevin wants to purchase.
At the nursery, six shrubs cost $72.00, which means each shrub costs $72.00 ÷ 6 = $12.00.
For 21 shrubs, the cost at the nursery would be 21 × $12.00 = $252.00.
At the garden store, six shrubs cost $66.00, which gives us a cost of $66.00 ÷ 6 = $11.00 per shrub.
Therefore, for 21 shrubs, the total cost would be 21 × $11.00 = $231.00.
Now, let's find out the savings if Kevin buys from the garden store instead of the nursery: $252.00 - $231.00 = $21.00.
Thus, Kevin will save $21.00 by purchasing the shrubs from the garden store.
What is the error in both of these problem
expain how you got your answer
Answer:
Step-by-step explanation:
2.
Step where it was wrong ->
x-8 = 0
x=-8
They just put negative eight on the right side you have to cancel negative 8 out by adding negative 8 on both sides.
x-8=0
+8 +8
x=8 <- Right solution.
3.
Step where it was wrong ->
8(p-7) = 75
8p-7=75
Distributive Property you have to do 8 times p and 8 times -7, they just did 8 times p and forgot to do 8 times -7.
8(p-7)=75
8p-56=75 <- Do 8 * -7 in addition of doing 8 *p
8p=131
/8 /8
p = 16.735 or 131/8
- 0.46 divided 0.2 =
Answer:
-2.3
Step-by-step explanation:
Don't forget to move the decimal
15- [(3^2+ 6) ÷5=12
my teacher told me it was 12 but idk how to do it idk the strategy
4×[50-3(1+3)^2]= 8
idk the strategy pls help ?? plzzzz
Answer:
The strategy to evaluate these expressions is called PEMDAS.
Step-by-step explanation:
Problem #1[tex]15-[(3^2+6)\div5][/tex]
We're going to be following the rule of PEMDAS:
ParenthesesExponentsMultiplicationDivisionAdditionSubtractionKeep in mind that multiplication/division and addition/subtraction are done from left to right.
In the first expression (written above), we'll first evaluate everything inside the brackets first (brackets are used when there are parentheses inside of it - but they serve the same function). There are parentheses in these brackets, so that will be the absolute first step in evaluating.
Solve for [tex]3^2+6[/tex] then rewrite the expression.
[tex]15-[(15)\div5][/tex]Now finish evaluating inside the parentheses by dividing 15 by 5.
[tex]15-[3][/tex]The last step to evaluate the expression is to subtract 3 from 15.
12Problem #2[tex]4\times[50-3(1+3)^2][/tex]
Evaluate everything inside the the brackets. Start with the parentheses since that is first according to PEMDAS. Add 1 and 3 together then rewrite the expression.
[tex]4\times[50-3(4)^2][/tex]Exponents are solved next after parentheses in PEMDAS, so evaluate the exponent.
[tex]4\times[50-3(16)][/tex]Multiplication is done before subtraction, so multiply 3 and 16 together.
[tex]4\times[50-(48)][/tex]Finish evaluating inside the brackets by subtracting 48 from 50.
[tex]4\times[2][/tex]The last step in evaluating the second expression is to multiply 4 and 2 together, which gives us 8.
8Find two consecutive integers whose sum is 373.
Final answer:
The two consecutive integers whose sum is 373 are 186 and 187. We derived the equations n + (n + 1) = 373 and solved for n to find the first integer.
Explanation:
To find two consecutive integers whose sum is 373, let's denote the first integer as n. The next consecutive integer will be n + 1. When we add these two integers together, their sum should equal 373, which gives us the equation:
n + (n + 1) = 373
Simplifying this equation, we get:
2n + 1 = 373
To solve for n, we subtract 1 from both sides of the equation:
2n = 372
Divide both sides by 2:
n = 186
So the first integer is 186. The next consecutive integer is:
n + 1 = 186 + 1 = 187
Therefore, the two consecutive integers that sum to 373 are 186 and 187.
How many 1/16 inches are in one inch?
. A mason has 7,758 bricks that he needs to share equally among 9 different building sites. How many
bricks should go to each site?
Answer:
862
Step-by-step explanation:
Finding the area of a triangle in sq. mm Answer choices in picture*!!
Answer:
200 mm^2
Step-by-step explanation:
Area of the rectangle = 2 * 25 = 50 mm^2.
Area of the triangle = 1/2 * 20 * 15
= 1/2 * 300
= 150 mm^2.
Total area = 150 ^ 50 = 200 mm^2.
Max scored 6 marks more than what he did in the previous
examination in which he scored 30. Maria scored 30 marks more
than she did in the previous examination in which she scored 60.
Who showed less improvement?
♡
Answer:
max showed less improvement!
Step-by-step explanation:
Max percentage improvement in the first exam = (6/30 × 100) %
= (600/30) %
= 20 %
Maria percentage improvement in the first exam = (30/60 × 100) %
= (3000/60) %
= 50 %
Hence, 20 % < 50 %
Final answer:
Max improved by 6 marks from his previous score, while Maria improved by 30 marks. Therefore, Max showed less improvement than Maria.
Explanation:
Max scored 6 marks higher than his previous score of 30, making his new score 36. Maria scored 30 marks more than her previous score of 60, taking her new score to 90. To determine who showed less improvement, we compare the amount of increase in their scores.
Max's improvement: 30 + 6 = 36
Maria's improvement: 60 + 30 = 90
Max improved by 6 marks, and Maria improved by 30 marks. Therefore, Max showed less improvement.
When comparing improvement, it's useful to look at the actual increase in marks gained, not necessarily the percentage improvement unless specifically asked. Here, the simple comparison of the additional marks scored determines who improved less. Though both students improved their scores, the difference in their points increased is a clear indicator of whose improvement was less significant.
solve for x x/7 +9=15
Answer:
x = 42
Step-by-step explanation:
x/7 + 9 = 15
=> x/7 = 15 - 9
=> x/7 = 6
=> x = 6(7)
=> x = 42
The cost in dollars of making x items is given by the function C(x) = 10x + 500. a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item. b. What is the cost of making 25 items? c. Suppose the maximum cost allowed is $1500. What are the domain and range of the cost function, C(x)?
Answer:
a. $500
b. $250
Step-by-step explanation:
a. For zero items produced, cost will be-
[tex]C(0) = 10(0) + 500 = 0 + 500 = 500[/tex]
b. For zero items produced, cost will be-
[tex]C(25) = 10(25) + 500 = 250 + 500 = 750[/tex]
c. If [tex]C(x)_{max} = 1500[/tex]
[tex]10x + 500 = 1500\\10x = 1000\\x = 100[/tex]
∴ domain for cost function will be [tex][0,100][/tex] and range will be 100
Answer: A) fixed cost is $500
B) Cost of making 25 items is $750
C) Domain: [0,100]
Range :[500,1500]
I got 100% on test with these answers
(3×7)+5=26 write a situation for this equation
Answer:
Tom is at the grocery store and is buying 3 treats. Each treat costs him 7 dollars. He is also purchasing a drink for 5 dollars. What is the total amount he is spending?
sinθ> cosθ<0 where does angle θ lie
Since you want a negative cosine, your angle will surely lie in the II or III quadrant.
In particular, in the II quadrant, the cosine is negative and the sine is positive, so you surely have [tex]\sin(\theta)>\cos(\theta)[/tex]
As for the third quadrant, we start with
[tex]\sin(\pi)=0,\quad\cos(\pi)=-1[/tex]
(which implies that the sine is greater than the cosine) and we end with
[tex]\sin\left(\dfrac{3\pi}{2}\right)=-1,\quad\cos\left(\dfrac{3\pi}{2}\right)=0[/tex]
which implies that the sine is less than the cosine.
Halfway through, we have
[tex]\sin\left(\dfrac{5\pi}{4}\right)=\cos\left(\dfrac{5\pi}{4}\right)=\dfrac{\sqrt{2}}{2}[/tex]
So, only the first half of the III quadrant is fine, because sine and cosine are both negative, but the sine is "less negative" than the cosine, so we have, as requested,
[tex]\begin{cases}\sin(\theta)>\cos(\theta)\\\cos(\theta)<0\end{cases}[/tex]
So, the final answer is that the angle lies in the interval
[tex]\dfrac{\pi}{2}<\theta<\dfrac{5\pi}{4}[/tex]
Answer:
[tex]\theta\in\left(\pi+2k\pi;\ \dfrac{3\pi}{4}+2k\pi\right)[/tex]
Step-by-step explanation:
I think correct inequality is
[tex]\cos\theta<\sin\theta<0[/tex]
The easiest way is to draw graphs of sine and cosine functions in one coordinate system and read a set of solutions from the graph (look at the picture).
We need to solve the equation
[tex]\sin\theta=\cos\theta[/tex]
to get the intersection points of the graphs.
[tex]\sin\theta=\cos\theta\qquad\text{divide both sides by}\ \cos\theta\neq0\\\\\dfrac{\sin\theta}{\cos\theta}=1\to\tan\theta=1\to\theta=\dfrac{\pi}{4}+k\pi,\ k\in\mathbb{Z}[/tex]
We look at where the sine function graph is above the cosine function graph.
what are the coordinates of the midpoint of the segment whose endpoints are A(-3, -5) and B(2,7)
Answer:
(-0.5,1)
Step-by-step explanation:
The half of the diference between the points its equal to its midpoint distance:
[tex](\frac{-3+2}{2},\frac{-5+7}{2} )=(-0.5,1)[/tex]
Area of a parallelogram with a base length of 2.9 ft and a height of 5.5 ft
Step-by-step explanation:
Area of parallelogram = ( base ) ( height )
area of parallelogram = ( 2.9 ft ) ( 5.5 ft )
( as given )
area of parallelogram =15.95 ft²
What is 17/20 in a decimal
Answer:
0.85
Step-by-step explanation:
1/20=0.05
0.05*17=0.85
17/20 as a decimal would be 0.85
Solve 4x - c = k for x
Step-by-step explanation:
4x-c=k
4x=c+k
x=(c+k)/4
Answer:
X= K-C/4
Step-by-step explanation:
The -C goes to the K makes it K-C
Then /4 because we need the ex by their self
Lastly we get W=K-C/4
Evaluate 6j+23+kl−3, when j=3, k=7, and l=33.
Enter your answer in the box.
Answer:
269
Step-by-step explanation:
1) Substitute in the given values for each variable:
6(3)+23+(7)(33)-3
2) Simplify:
18+23+231-3
3) Simplify again:
269
One positive number is three more than twice another. Their product is 119
Answer: The numbers are 7 and 17
Step-by-step explanation: twice of 7 is 14 and 3 + 14 = 17
PLZ HELP 25 POINTS THIS IS AN EMERGENCY THANKS!!
At the beach, 45% of people have red towels and 15% have blue towels. If the
rest have white, what percentage of the people at the beach have white
towels?
To find out what percent of the people at the beach have white towels, we can take the sum of the percents and subtract them from 100. In other words, we can add up the percents of both the red and the blue towels and subtract the sum from 100%.
45 + 15 = 60
100 - 60 = 40
Therefore, 40% of the people at the beach have a white towel.
Answer:
40%
Step-by-step explanation:
At the beach, 45% of people have red towels and 15% have blue towels. If the rest have white, 40% of the people at the beach have white towels.
In order to find the answer, you have to do the following steps:
45% + 15% = 60%
100% - 60% = 40%
Therefore, the answer is 40%.
A sample of ore is found to be 0.0042% gold and 0.049% diamond. What is the percentage of matter in the ore that is neither gold nor diamond?
Answer:
0.007%
Step-by-step explanation:
This is the answer because I need points to answer a question
Answer:
99.9468 %
Step-by-step explanation:
The total percentage of the diamond and gold is:
0.0042 % + 0.049% = 0.0532%
The percentage of other metal that is neither gold or diamond = 100 - 0.0532
= 99.9468 %
I really don't get the whole Mean, Median and Mode thing.
Answer:
The mean is the average you're used to, where you add up all the numbers and then divide by the number of numbers. The median is the middle value in the list of numbers. The mode is the value that occurs most often.
Mean is all the numbers together in total so in order to get the mean you just add up all the numbers then divide by the total amount of numbers in that set.
Median in order to find the median you rearrange the numbers least from greatest and find the average from the two numbers in the middle of the set 2,2,2,2,2,4,5,5 21, in this case 2 because it's the number in the middle.
Mode in a set of numbers the mode is the most occurring of numbers 2,2,2,4,5,21,2 2,5 which would be 2 in this case.
Hope this helps.
What is |-84.7|? A. 8 B. 84.7 C. -84.7 D. -84.7 or 84.7
Answer:
your answer is B
Step-by-step explanation:
A bee flies at 20 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 20 minutes, and then flies directly back to the hive at 12 feet per second. It is away from the hive for a total 24 minutes. What equation can you use to find the distance of the flowerbed from the hive?
Answer:
the answer is 0.5
Step-by-step explanation:
What is the solution to the following system of equations?
[x+y=5
(x-y= 1
0 (-2,7)
(2,3)
(3, 2)
(7-2)
Answer:
(3,2)
Step-by-step explanation:
The system is
x + y = 5
x -y = 1
Add the equations to eliminate y
2x = 6----->x=3
Substitute this value in any equation
3+y = 5----->y=2
The solution is (3,2)
15-3(-x+5)=-21+6x Can someone help me find the value of X
Step-by-step explanation:
first 3(-x+5) you distribut
then you would get 15-3x+15=21+6x and u combine like terms which is 3x and 6x which is 9 and u get 15-9x+15=21tthen u sabtract 15x on both side and get 15-9=21 then u subtract 15 ok both side and get x = 0.7
30 POINTS + BRAINLIEST FOR THE CORRECT ANSWER!
Question:
In the figure shown, line AB is parallel to line CD.
Part A: What is the measure of angle x? Show your work. (5 points)
Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points)
My work:
x = 155 - 62 which leaves you with x being 53 (Credits to those who helped me in my previous asked question)
That's all I could come up with which completes part A, if you know the answer to part B feel free to just answer part B! Part A is not needed but I added it there for those who need to see it.
The angles of 115 degrees and (52+x) are the same, because they are alternate interior angles.
Answer:
62º + x = 115º
because AB and CD are parallel, which means 115º and 62+x are "alternate angles"
ALTERNATE ANGLES
Step-by-step explanation:
RE
The pair of points is on the graph of an inverse variation. Find the missing value.
(2, 8) and (x, 3)
Answer: [tex]\bold{\dfrac{16}{3}}[/tex]
Step-by-step explanation:
Inverse variation uses the formula: xy = k
We are given that x = 2 and y = 8, so k = 16
Now, let's find x when y = 3 and k = 16
[tex]x(3)=16\\\\x=\dfrac{16}{3}[/tex]
Please answer this correctly
Answer:
Rita
Step-by-step explanation:
Everyone else is further from Rita.