1. 2x+5(6x-9)=179
2. -40=6x-5(-4x-18)
solve for X
Answers
Answer:
1. x = 7
2. x = -5
Step-by-step explanation:
1. Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation: 2*x+5*(6*x-9)-(179)=0
Pull out like factors 6x - 9 = 3 • (2x - 3)
(2x + 15 • (2x - 3)) - 179 = 0
Pull out like factors: 32x - 224 = 32 • (x - 7)
Solve: x-7 = 0
Add 7 to both sides of the equation = 7
2. Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation: -40-(6*x-5*(-4*x-18))=0
Pull out like factors: -4x - 18 = -2 • (2x + 9)
-40 - (6x - -10 • (2x + 9)) = 0
Pull out like factors: -26x - 130 = -26 • (x + 5)
-26 • (x + 5) = 0
Solve: x+5 = 0
Subtract 5 from both sides of the equation: x = -5
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Related Questions
what percent of 50 is 11 and what percent of 80 is 72
Answers
Answer:
The percent of 11 to 50 is 22%
The percent of 72 to 80 is 90%
Step-by-step explanation:
Find an equivalent fraction with denominator 100
Then multiply:
72 × 100
Divided by the original number which was 80
Then multiply that by 1/100 which equals 90/100
So 90%
Derive tan(A+B)+tan(A+B)- tan(A+B)+tan(A+B).
Answers
Step-by-step explanation:
the answer will be zero 0
kim makes $12 per hour . write an equation showing the relationship between her total pay (p) and the number of hours she works (h)
Answers
Answer:
C) P = 12H
Step-by-step explanation:
This is because she makes 12 dollars every hour so it'll be 12 times the number of hours.
step by step explanation:
it asks you to find the pay, and because we don’t know how many hours she worked we would use H. the total pay is P.
P is determined by 12 x the amount of hours she works
hope this helps
Evaluate x ^ 2 + 1/(x ^ 2) when x = 3 + sqrt(8)
Answers
Answer:
34
Step-by-step explanation:
Find the exact value of sin A in simplest radical form.
Answers
Solve each equation or formula for the variable indicated .
11. u=vw+z, for v 12. x=b-cd, for c
13. fg-9h=10j, for g 14. 10m-p= -n, for m
Answers
The solution of each of the equations for the variable indicated in each case are as follows;
11. v = (u - z)/w.12. c = (b - x)/d.13. g = (10j + 9h)/f.14. m = p - n.Solution of equations for variables.It follows from the task content that the equations given are to be solved for the variables indicated.
The equations can therefore be solved as follows;
11. u = vw + z
Isolate vw so that we have;
vw = u -z; Divide both sides by w;
v = (u - z)/w.
12. x = b - cd
Isolate cd so that we have;
cd = b -x; Divide both sides by d;
c = (b - x)/d.
13. fg - 9h = 10j
Isolate fg so that we have;
fg = 10j + 9h; Divide both sides by f;
g = (10j + 9h)/f.
14. m - p = -n
Isolate m; so that we have;
m = p - n.
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HELP ASAP TIMED! GIVING BRAINLIEST
Answers
Answer:
4680
Step-by-step explanation:
65% of 7200 is 4680
Answer:
4680
Step-by-step explanation:
65% of 7200 is 4680
Random samples of size n = 250 are taken from a population with p = 0.04.
a. Calculate the centerline, the upper control limit (UCL), and the lower control limit (LCL) for the p¯p¯ chart. (Round the value for the centerline to 2 decimal places and the values for the UCL and LCL to 3 decimal places.)
Answers
The centerline for the p¯p¯ chart is simply the average proportion of successes in the population, which is p = 0.04. Therefore, the centerline is 0.04.
To calculate the control limits, we need to use the formulas:
UCL = p + 3√((p(1-p))/n)
LCL = p - 3√((p(1-p))/n)
Substituting in the given values, we get:
UCL = 0.04 + 3√((0.04(1-0.04))/250) = 0.068
LCL = 0.04 - 3√((0.04(1-0.04))/250) = 0.012
Therefore, the upper control limit (UCL) is 0.068 and the lower control limit (LCL) is 0.012.
Hi! To calculate the centerline, upper control limit (UCL), and lower control limit (LCL) for the p¯ chart, we will use the given values of n = 250 and p = 0.04.
a. Centerline: The centerline is simply the value of p, which is 0.04. So, the centerline is 0.04 (rounded to 2 decimal places).
b. UCL and LCL: To calculate the control limits, we'll first find the standard deviation of the process using the formula:
Standard Deviation (σ) = √(p * (1 - p) / n) = √(0.04 * (1 - 0.04) / 250) ≈ 0.0111
Next, we'll calculate the control limits using the formula:
UCL = Centerline + 3 * σ ≈ 0.04 + 3 * 0.0111 ≈ 0.0733 (rounded to 3 decimal places)
LCL = Centerline - 3 * σ ≈ 0.04 - 3 * 0.0111 ≈ 0.0067 (rounded to 3 decimal places)
So, the centerline is 0.04, the upper control limit (UCL) is 0.073, and the lower control limit (LCL) is 0.007.
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what is the solution of m/12 ≥ 3
Answers
m / 12 ≥ 3
Then multiply both by 12
m• (12/12) ≥ 3•12
m•(1) ≥ 36
Then solution is
m≥ 36
(all numbers bigger or equal to 36)
Answer:
\(\implies\sf{m\geqslant36}\)Solution:
Hi! To solve this inequality, all we should do is multiply both sides by 12:
\(\implies\sf{\dfrac{m}{12} \geqslant3}\\\implies\sf{m\geqslant36}\)
We come to the conclusion that the answer is \(\implies\sf{m\geqslant36}\).
Problem solved! It's been a pleasure helping you.
F(x)=x 2 +10f, left parenthesis, x, right parenthesis, equals, x, squared, plus, 10 over which interval does fff have a positive average rate of change?.
Answers
The correct option D: [−1,2]; function has the positive average rate of change.
Define the term average rate of change?It is the average amount by which the function increased per unit throughout that time period.
It is calculated using the slope of the line linking the interval's ends on the graph of the function.We multiply the change in y (output) even by change in x to determine the average rate of change (input). Additionally, determining the slope of a secant line that connects two locations is all that is being done visually.The formula for the average rate of change is-
f' = (fb - fa)/(b - a)
In which,
a, b are the lower and upper bounds.
f(a) and f(b) are the functions for the lower and upper bounds.
For option A: [−3,3]
f' = (19 - 19)/(3 + 3)
f' = 0
For option B: [−4,−1]
f' = (11 - 26)/(-1 + 4)
f' = -5
For option C: [−3,1]
f' = (11 - 19)/(1 + 3)
f' = -2
For option D: [−1,2]
f' = (14 - 11)/(2 + 1)
f' = 1
Thus, for the intervals of [−1,2], the given function has the positive average rate of change.
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The complete question is-
F(x)= x^2 +10 or (left parenthesis, x, right parenthesis, equals, x, squared, plus)
Over which interval does of have a positive average rate of change?
A: [−3,3]
B: [−4,−1]
C: [−3,1]
D: [−1,2]
Find the volume of the irregular
figure.
Answers
Answer:
59 cm^3
Step-by-step explanation:
You can split the shape into two rectangular prisms.
3*3*1=9
10*5*1=50
9+50=59
Find the surface area of the rectangular prism
Answers
Answer:
82 inches squared
Step-by-step explanation:
7*3*2 = 42
7*2*2 = 28
3*2*2 = 12
42 + 28 + 12 = 82
If a+b+c = 9 and ab+bc+ca = 40, find a^2 + b^2 + c^2
Answers
Explanation
By definition.
\(\begin{gathered} (a+b+c)^2=a^2+b^2+c^2+2((ab)+(bc)+(ac)) \\ \end{gathered}\)so
Let
\(\begin{gathered} (a+b+c)=9 \\ ab+bc+ac=40 \\ \text{now, replace} \end{gathered}\)\(\begin{gathered} (a+b+c)^2=a^2+b^2+c^2+2((ab)+(bc)+(ac)) \\ 9^2=a^2+b^2+c^2+2(40) \\ 81=a^2+b^2+c^2+80 \\ \text{subtract 80 in both sides} \\ 81-80=a^2+b^2+c^2+80-80 \\ 1=a^2+b^2+c^2 \end{gathered}\)hence
\(a^2+b^2+c^2=1\)I hope this helps you
witney peter, a professional dart player has a seventy percent chance of hitting the bull's eye on a dartboard with and throw. assume that that the throw of a dart is independent. what is the probability that pete hits five or fewer of his next ten shots?
Answers
Without spectacles, Witney Pete has a 5/10 chance of hitting the bullseye. Witney Pete could strike the bullseye with his spectacles 0.7 of the time. This likelihood is far higher than hitting the bullseye without glasses. the probability that Pete hits five or fewer of his next ten shots is approximately 2.487.
What is the probability that Pete hits five or fewer of his next ten shots?Generally, To find the probability that Pete hits five or fewer of his next ten shots, we need to find the probability that he hits exactly 0, 1, 2, 3, 4, or 5 bull's eyes.
The probability that Pete hits exactly k bull's eyes in n throws is given by the binomial distribution:
P(k bull's eyes in n throws) = (n choose k) * p^k * (1-p)^(n-k)
where p is the probability of hitting a bull's eye on a single throw and n choose k is the binomial coefficient, which is equal to n!/(k!(n-k)!).
Substituting the given values, we get:
P(0 bull's eyes in 10 throws) = (10 choose 0) * (0.7)^0 * (0.3)^10 = 0.028 P(1 bull's eyes in 10 throws) = (10 choose 1) * (0.7)^1 * (0.3)^9 = 0.189 P(2 bull's eyes in 10 throws) = (10 choose 2) * (0.7)^2 * (0.3)^8 = 0.462 P(3 bull's eyes in 10 throws) = (10 choose 3) * (0.7)^3 * (0.3)^7 = 0.605 P(4 bull's eyes in 10 throws) = (10 choose 4) * (0.7)^4 * (0.3)^6 = 0.501 P(5 bull's eyes in 10 throws) = (10 choose 5) * (0.7)^5 * (0.3)^5 = 0.302
The probability that Pete hits five or fewer bull's eyes in his next ten shots is the sum of the probabilities of hitting exactly 0, 1, 2, 3, 4, or 5 bull's eyes:
P(hitting 5 or fewer bull's eyes in 10 shots) = 0.028 + 0.189 + 0.462 + 0.605 + 0.501 + 0.302 = 2.487
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Come answer this question please
Answers
Answer:
You cannot combine -5x^2 and 2x.
Step-by-step explanation:
You cannot combine -5x^2 and 2x. They are not like terms
x^2 and x are not the same
use the definitions below to select the statement that is true. a={x∈:xis even} b={x∈:−4 < x < 17}
Answers
The true statement is: (1) a ⊂ b .Given sets are:a={x∈: x is even}b={x∈:−4 < x < 17}Now, we have to select the true statement from the given options. Let's look at the given options:(1) a ⊂ b(2) b ⊂ a(3) a ∩ b ≠ ∅(4) a ∪ b = R.
To check the given statement, we have to check if all the elements of set a are in set b.Let's check if set a is the subset of set b or not:a = {x∈ : x is even}b = {x∈ : −4 < x < 17}
So, if we write all the even numbers between -4 and 17, then all the elements of set a will be there in set b.
Therefore, a ⊂ b. Hence, option (1) is true. The true statement is: a ⊂ b as all the elements of set a are in set b.
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4 6 24 , 5 3 15, 2 3 6 ,4 2 8 what pattern do u see
Answers
there is a group anxiously waiting to start their triathlon. They are in the sand getting ready for the first leg of the race. The swim! They have roped off a rectangle of the beach that is 200 yards long and 10 yards wide. The atheletes are packed in fighting for the front. If we assume that 10 atheletes can occupy 25 square feet, how many triathletes are competing?
a) 3450
b)6800
c)5000
d) 7200
Answers
Answer:
The answer do this problem would be D trust me for real
Step-by-step explanation:
Find area
Length ×Breadth200(3)(10(3)600(30)18000ft²Total 25 ft² places
18000/25720Total players
720(10)720032+b=54 when b = 9
what is the answer
Answers
Step-by-step explanation:
I have two step
step 1
32+b=54
32+9=54
41=54
you divide both side by 41 and the answer is 1 and 1
step two
32+b=54
b=54-32
9=22
you divide both side by 9 and the answer is 2,44
the slope of the line tangent to the graph of y=xe^x at x=ln 2 is
Answers
Answer:
2 + 2 ㏑2
Step-by-step explanation:
y = x (e^x)
to dy/dx (slope), we need to perform the product rule:
if y = f(x) g(x), where both f(x) and g(x) are functions in x, then dy/dx = f(x) g'(x) + f'(x) g(x).
let u = x (dy/dx = 1) and v = e^x ( dv/dx = e^x).
then dy/dx = u (dv/dx) + v (du/dx)
= x (e^x) + e^x. this is the slope.
at x = ㏑2:
dy/dx = ㏑2 (e^㏑2) + e^㏑2
= ㏑2 (2) + 2
= 2 + 2 ㏑2
Use the graph of f(x) to answer the following questions.
a) Domain:
b) Range:
c) f(-1):
d) x-intercepts:
e) y-intercepts:
f) Is the graph symmetric?
Answers
The domain, range, intercepts and symmetry of the graph are;
a) Domain; [-4, 4]
b) Range; [-5, 5]
c) f(-1) = 4
d) x-intercepts; (-3.2, 0), (0, 0), (3.2, 0)
e) y-intercepts; (0, 0)
f) The graph is symmetric about the origin
What the y-intercept of a graph?The y-intercept is the point the graph intersects the y-axis.
The domain is the set of the elements of the input of the function, from the graph, the domain is; -4 ≤ x ≤ 4, which is; [-4, 4]
(b) The range is the set of the possible output value of the function, which consists of the possible y-values of the function.
From the graph, the range is; -5 ≤ y ≤ 5, which is [-5, 5]
(c) The value of the function at x = -1, f(-1), from the graph is 4
f(-1) = 4
(d) The x-intercepts are the points the graph intersects the x-axis
From the graph, the x-intercepts are; x ≈ -3.2, x = 0, and x ≈ 3.2
e) The y-intercept is the point (0, 0)
f) A graph is symmetric with respect to a line if when reflected over the line, the graph is unchanged
Here the graph is symmetric with respect to the origin
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The numbers 1 to 50 are in a hat. The probability of drawing a multiple of 5 is 10/50. What is the probability of NOT drawing a multiple of 5?
Answers
Answer:
Step-by-step explanation:
If you write down the multiples of 5 which are 5, 10, 15, 20, 25, 30 ,35 ,40, 45, 50, 55, 60.
And, write down all the numbers until 50: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50.
If you then circle/spot the ones that are not multiples of 5 on the list of numbers up to 50 there are the numbers: 1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 14, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 31, 32, 33, 34, 36, 37, 38, 39, 41, 42, 43, 44, 46, 47, 48, 49. There are 49 numbers which aren't a multiple of 5 therefore, the probability of getting a multiple of 5 is 41/50
Jose is wrapping a stack of 100 coins in a paper holder. Each coin is 18 inch thick and has a diameter of
1 inch. How many square inches of paper will Jose need to cover the stack of coins? Use 3.14 for π.
Answers
Jose will need 40.82 in² of paper to cover the stack of coins
How to determine the square inches of paper Jose will need to cover the stack of coins?The area in this scenario will be:
A = 2πr² + 2πrh
Where r and h represent the radius of the coins and the height of the coin stack respectively
Given: diameter of coin = 1 inch and thickness = 1/8 inch
radius(r) = diameter/2 = 1/2 inch
Substituting values gives:
A = 2×3.14 × (1/2)² + 2×3.14 ×(1/2)×(100 ×(1/8))
A = 40.82 in²
Note: the correct thickness of the coins should be 1/8 in
Therefore, the area of paper Jose will need to cover the stack of coins is 40.82 in²
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2x-5
-------- = 2
8
(2x-5/8 = 2)
Answers
Step-by-step explanation:
2×-5=-8 and 2×-5/8=-1.25
Answer:
x = 10.5
Step-by-step explanation:
I'll assume this is the equation: (2x-5)/8 = 2
(2x-5)/8 = 2
(2x-5) = 16 [Multiply both sides by 8]
2x = 21 [Add 5 to both sides]
x = (21/2) [Divide both sides by 2]
or x = 10.5
Is the answer to -8/-8 positive or negative?
Answers
Answer: positive
Step-by-step explanation:
A negative divided by another negative is always positive. Same rule applies to multiplication. Double negatives equal positives
please can you tell me if 7 question answer is right
Answers
In the image above you have the distribution of the 16 seats in the van (in pairs). You can identify the number of pairs (two seats) in red.
Then, there are 8 pair of seats
the radius of circle A is 12units. the radius of circle B is 2 times the radius of circle A
what is the circumference of circle B? leave your awnser in terms of pi
Answers
Answer:
The answer is 48pi
Step-by-step explanation:
Circumference: C=2*pi*radius
The radius of Circle B is 2*12=24
Thus, the circumference of Circle B is: 2*pi*24=48pi
The main purpose of descriptive statistics is to Multiple Choice summarize data in a useful and informative manner. make inferences about a population. determine if the data adequately represent the population. gather or collect data.
Answers
Descriptive statistics are used to summarize data in a useful and informative manner.
What is Statistics?This type of statistics provides meaningful information about the data set by organizing and presenting it in an easily understandable format. Descriptive statistics can be used to summarize the data in the form of tables, graphs, and charts. It can also be used to provide detailed information about the data set, such as the mean, median, mode, standard deviation, and range.
Descriptive statistics can also be used to make inferences about a population. This is done by comparing the data collected from a sample to the characteristics of the population. By understanding the characteristics of the population, researchers can make accurate predictions about the behavior of the population.
Descriptive statistics can also be used to determine if the data adequately represent the population. This involves analyzing the sample size, data accuracy, and the assumptions made about the population. If the data does not accurately represent the population, then researchers have to make changes to their data collection process or revise their assumptions about the population.
Finally, descriptive statistics can be used to gather or collect data. This involves designing surveys, experiments, and other data collection methods. By using descriptive statistics to collect data, researchers can ensure that the data is valid and reliable.
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What is the solution to the following system of equations? (1 point)
x − 3y = 5
2x + y = 10
(5, 0)
(0, 5)
(7, 0)
(0, 7)
Answers
Answer:
Step-by-step explanation:
In the figure below, mZ1=(x +48) and m2 2=2xº.
Find the angle measures.
Answers
m < 1 + m < 2 = 90°
x° + 48° + 2x° = 90°
Combine like terms:
48° + 3x° = 90°
Subtract 48° from both sides:
48° - 48° + 3x° = 90° - 48°
3x = 42°
Divide both sides by 3 to solve for x:
3x/3 = 42/3
x = 14°
Plug in the value of x into the equation to fins m< 1 and m < 2:
m < 1 + m < 2 = 90°
(14° + 48°) + 2(14)° = 90°
62° + 28° = 90°
90° = 90° (True statement)
Therefore:
m < 1 = 62°
m < 2 = 28°