like terms and distributive propertysimplify each expression by using the distributive property and by combining like terms
Given the expression:
[tex]\frac{1}{2}(12x-8)-\frac{1}{3}(18x-12)[/tex]using the distributive property we get the following:
[tex]\begin{gathered} \frac{1}{2}(12x-8)-\frac{1}{3}(18x-12)+ \\ \frac{1}{2}(12x)+\frac{1}{2}(-8)-\frac{1}{3}(18x)-\frac{1}{3}(-12)= \\ 6x-4-6x+4=0 \end{gathered}[/tex]therefore, the simplified expression is 0
What is the solution of the system of equations below?
y+2x=2 y+4x=0
GIVING 100 POINTS PLEASE HELP
Answer: (-1, 4)
Step-by-step explanation: y=-2x+2, y=-4x Solve for the first variable in one of the equations, then substitute the result into the other equation.
Answer this question using SUBSTITUTION:
Substitution is a method to solving a system of equations through substituting one of the variables for another equation.
y + 2x = 2
y + 4x =0 (rewrite this equation so y is isolated: y =4x)
Since y=4x you can substitute the y in y +2x =2 and solve for x:
4x + 2x =2
6x = 2
x = [tex]\frac{1}{3}[/tex]
Now, plug in x into y =4x:
y = 4 ([tex]\frac{1}{3}[/tex]) = [tex]\frac{4}{3}[/tex] or [tex]1\frac{1}{3}[/tex]
x= [tex]\frac{1}{3}[/tex]
y = [tex]\frac{4}{3}[/tex] or [tex]1\frac{1}{3}[/tex]
On Saturday, 108 people hiked around Lake E. Find the total distance walked by the group.Use the standard algorithm to solve.
(I’ll give brainyest)
Answer:
1655.64 miles
Step-by-step explanation:
because 108 people times 15.33 miles for all the total people would be 1655.64 miles
Help me please I don’t know the answer
Answer:
Classification by Angles: Obtuse
Classification by Sides: Scalene
Step-by-step explanation:
➜ This triangle has an obtuse angle, or an angle greater than 90°, so it is an obtuse triangle. This is the classification by angles.
➜ This triangle's sides are all different lengths, as shown by the three different angle measurements. This means this triangle is scalene, and scalene is the classification by sides.
Please solve in the substitution method only 3x + 2y = 12x = 2/3 y
To solve the system of equation using substitution method only, here are the steps.
1. Since the 2nd equation has been equated already into x = or y = , we can use this value to substitute the "x" value in the first equation.
[tex]\begin{gathered} 3x+2y=12 \\ 3(\frac{2}{3}y)+2y=12 \end{gathered}[/tex]2. Then, solve for y.
a. Eliminate first the parenthesis by multiplying the number outside it to the number inside it. (3 x 2/3y = 2y)
[tex]\begin{gathered} 2y+2y=12 \\ \text{Add similar terms.} \\ 4y=12 \\ \text{Divide both sides of the equation by 4.} \\ \frac{4y}{4}=\frac{12}{4} \\ y=3 \end{gathered}[/tex]Therefore, the value of y is 3.
3. Plug in the value of "y" to either of the equation to solve for x. For this solution, we will plug it in to the second equation.
[tex]\begin{gathered} x=\frac{2}{3}y \\ x=\frac{2}{3}(3) \\ x=2 \end{gathered}[/tex]The value of x = 2.
To check whether these values are true for both equations, we can plug them in.
[tex]\begin{gathered} 3x+2y=12 \\ 3(2)+2(3)=12_{} \\ 6+6=12 \\ 12=12 \end{gathered}[/tex][tex]\begin{gathered} x=\frac{2}{3}y \\ 2=\frac{2}{3}(3) \\ 2=\frac{6}{3} \\ 2=2 \end{gathered}[/tex]Indeed, the values of x and y are true to both equations. The solution x = 2, y = 3 correct.
how do i factor 12x² - 48 ?
Answer:
144x - 24
Step-by-step explanation:
A) What percentage of the cars are black?
B) 7 out of 12 black cars are new,express this value as a percentage rounding to two
decimal places.
C) What fraction of the cars were red?
D) Express the number of red cars as a percentage rounding to two decimal places?
Step-by-step explanation:
The total number of cars=24
Number of black cars=12
Divide 12 by 24,multiplied by 100%
12÷24 ×100=50%
Therefore, 50% of the cars are black
please can anyone help with this question? :)
Answer:
ojsjsnajnbaknrkmlamsl
PLEASE HELP ME!!!!!!!
Answer: 31
Step-by-step explanation:
The numbers are increasing by 1, then 2, then 3, ...
In other words, the second difference is 1.
So, the next number is likely [tex]24+7=31[/tex].
Third-degree, with zeros of −3, −1, and 2, and passes through the point (3,11)
The polynomial with zeros of −3, −1, and 2, and passes through the point (3,11) is:
P(x) = (11/24)*(x + 3)*(x + 1)*(x - 2)
How to get the polynomial?We know that the zeros are −3, −1, and 2, so if we define the leading coefficient as A, the polynomial can be written as:
p(x) = A*(x + 3)*(x + 1)*(x - 2)
Now we want this to pass through the point (3, 11), then we get:
p(3) = 11 = A*(3 + 3)*(3 + 1)*(3 - 2)
11 = A*6*4*1
11 = A*24
11/24 = A
Then the polynomial is:
P(x) = (11/24)*(3 + 3)*(3 + 1)*(3 - 2)
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expand the expression: [tex]-\frac{1}{3}[/tex](-6x+15y) to write an equivalent expression. Use as few terms as possible.
Answer:
2x - 5y
Step-by-step explanation:
Hello!
We can distribute the value outside the parenthesis to the terms inside to simplify the expression.
Simplify:[tex]-\frac13(-6x + 15y)[/tex][tex]-\frac13(-6x) -\frac13(15y)[/tex][tex]\frac{-6x}{-3} - \frac{15y}{3}[/tex][tex]2x - 5y[/tex]The simplified expression is 2x - 5y.
on average, jakob has noticed that 18 trains pass by his house daily (24 hours) on the nearby train tracks. what is the probability that at most 4 trains will pass his house in a 6-hour time period? (round your answer to three decimal places.)
Answer:
Step-by-step explanation:
The time interval of interest is 6 hours
There is an average of 18 trains per 24 hours or 18/(24/6)=49/12 trains per 6 hours.
The probability can be found using the Poisson distribution with parameter
λ=49/12
luke says that "three divided by 21" is the same AS "twenty one divided by three". Is Luke correct? Explain why or why not.
Answer: He is incorrect
Step-by-step explanation:
3/21 = 0.142857142857143
21/3 = 7
They are two different equations with different answers.
Answer:
He is not correct
Step-by-step explanation:
Luke is not correct because 3/21 is 0.142 while 21/3 is 7.
What’s the answer plsss it would mean a lot
Answer:
a. 57 m
Step-by-step explanation:
The figure is not shown here---please draw and label it. Additionally, make sure your calculator is in degree mode.
[tex] \tan(67) = \frac{134}{x} [/tex]
[tex]x \tan(67) = 134[/tex]
[tex]x = \frac{134}{ \tan(67) } = 57[/tex]
Please help with this problem g(0)=9, g(8)=7
The equation of the line is g(x) = -1/4x + 9.
Given,
g(0) = 9
g(8) = 7
Here,
We can consider this as points:
(x₁, y₁) = (0, 9)
(x₂, y₂) = (8, 7)
Now lets find the slope of the line.
Slope, m = (y₂ - y₁) / (x₂ - x₁)
Slope, m = (7 - 9) / (8 - 0)
Slope, m = -2/8
Slope, m = -1/4
Now, the slope-intercept form:
y = mx + b
here,
9 = -1/4 × 0 + b
9 = b
Now,
equation of line,
y = -1/4x + 9
That is,
g(x) = -1/4x + 9
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Home NaviarStudent and Parent...Grades and Attenda...If DE is parallel to PQ and DE is parallel to XY,which statement must be true?A. PQ and XY are perpeAdicular lines.B. PQ and XY are parallel lines.C. PQ and XY are skew lines.D. PQ and XY are oblique lines.
The line DE is parallel to line PQ and line DE is parallel to XY.
If any one line is parallel to any other line and any of one line (from two parallel line) is parallel to third line then all three line are parallel to each other.
So line PQ, line XY and line DE all three parallel to each other.
Option B is correct.
Solve for y:
-3x+4y=28
Answer:
y = [tex]\frac{28+3x}{4}[/tex]
Step-by-step explanation:
- 3x + 4y = 28 ( add 3x to both sides )
4y = 28 + 3x ( isolate y by dividing both sides by 4 )
y = [tex]\frac{28+3x}{4}[/tex]
4 Which statement about the expression -4/9 x - 3/8 is true? 9 A. The product is greater than 1. B. The product is less than both factors. C. The product is less than D. The product is a positive number.
Given data:
The given expression is -4/9 x=3/8
The given expression can be written as,
[tex]\begin{gathered} -\frac{4}{9}x=\frac{3}{8} \\ x=-\frac{27}{32} \end{gathered}[/tex]The product is less than both the factors.
Thus, option C) is correct.
help me out *warning* its hard jk
Answer:
0.321 repeating 1
Step-by-step explanation:
The United States Department of Agriculture (USDA) found that the proportion of young adults ages 20–39 who regularly skip eating breakfast is 0.238 . Suppose that Lance, a nutritionist, surveys the dietary habits of a random sample of size =500 of young adults ages 20–39 in the United States.
Apply the central limit theorem to find the probability that the number of individuals, , in Lance's sample who regularly skip breakfast is greater than 126 . You may find table of critical values helpful.
Express the result as a decimal precise to three places.
(>126)=
Part 2: Apply the central limit theorem for the binomial distribution to find the probability that the number of individuals in Lance's sample who regularly skip breakfast is less than 98 . Express the result as a decimal precise to three places.
(<98)=
Using the normal approximation to the binomial, it is found that there is a 35.57% probability that the number of individuals in Lance's sample is.
What is Normal Probability Distribution?In a normal distribution with mean and standard deviation, the z-score of a measure X is given by:
z = x - [tex]\mu[/tex]/ [tex]\sigma[/tex]
Normal Probability Distribution measures how many standard deviations the measure is from the mean.
In this problem:
The proportion of young adults ages 20–39 who regularly skip eating breakfast is given as 0.238, hence p = 0.238
A sample of 500 hence n = 500
The mean and the standard deviation are given by:
[tex]\mu[/tex] = 500 ( 0.238) = 119
[tex]\sigma[/tex] = 9.5225
The probability that the number of individuals in Lance's sample who regularly skip breakfast will be greater than 122, using continuity correction, then the p-value of Z when X = 122.5.
z = x - [tex]\mu[/tex]/ [tex]\sigma[/tex]
z = 122.5 - 119/ 9.5225
z = 0.37
Then p-value of 0.6443.
1 - 0.6443 = 0.3557.
0.3557 = 35.57%is the probability that the number of individuals in Lance's sample who regularly skip breakfast is greater than 122.
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HELP MATH SUCKSSSSSS 7 and 8
Answer:
Step-by-step explanation:
Determine the missing coordinate in the orderd pair (?,-3) so that it will satisfy the given equation. Answer: (______,-3). consider the following equation.4x+3y=7
if we replace y for -3 in the given equation and then we despejate x, we wiil going to have a values for the ordered pair that satisfy the equation:
[tex]4x+3(-3)=7[/tex]then
[tex]4x-9=7\Rightarrow4x=7+9\Rightarrow4x=16\Rightarrow x=\frac{16}{4}=4[/tex]the ordered pair woul be (4,-3)
6 kg of bananas cost $42. How much
would 35 kg cost?
Round the answer to the 2 decimal digit
Answer:
245
Step-by-step explanation:
6 - 42
35 - x
cross multiply
6x = 35 × 42
6x = 1470
x = 1470 ÷ 6
x = 245
Look at the attached image, that is the problem
Solve all 3 parts to the attached image
Question 1
1.If ABCD is a parallelogram then
_________________________?
A. Opposite sides of the parallelogram are congruent
B. Consecutive sides of the parallelogram are perpendicular
C. Consecutive sides of the parallelogram are congruent
D. Opposite sides of a parallelogram are parallel
Question 2
2. x=____?
A.9
B.8.5
C.9.5
D.1.9
Question 3
3. CD=____?
A.11.4
B.54
C.51
D.57
This can be solved using the properties of a parallelogram.
What is a parallelogram?
A parallelogram is a basic (non-self-intersecting) quadrilateral with two sets of parallel sides in Euclidean geometry. A parallelogram's opposing or facing sides are of equal length, and its opposite angles are of equal measure. The congruence of opposing sides and angles is a direct result of the Euclidean parallel postulate, and neither condition can be established without resorting to the Euclidean parallel postulate or one of its equivalent formulations. A quadrilateral having just one set of parallel sides is known as a trapezoid in American English or a trapezium in British English. A parallelepiped is a parallelogram's three-dimensional counterpart.
1. If ABCD is a parallelogram, then
(A) Opposite sides of the parallelogram are congruent
2. In a parallelogram opposite sides are equal, so
6x = 4x + 19
or, 6x - 4x = 19
or, 2x = 19
or, x = 19/2 = 9.5
Hence, x =
(C) 9.5
3. CD = 6x9.5 = 57 units
(D) 57
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The ratio 13 to X is equivalent to the ratio 104 to y. Which equation represents y in terms of X?
Answer:
y=8X
Explanation:
The ratio 13 to X = 13:X
The ratio 104 to y = 104:y
If they are equivalent, we have that:
[tex]13\colon X=104\colon y[/tex]We write the ratios in fraction form.
[tex]\frac{13}{X}=\frac{104}{y}[/tex]We then make y the subject of the equation.
[tex]\begin{gathered} 13y=104X \\ y=\frac{104X}{13} \end{gathered}[/tex]We can simplify further to get:
[tex]\begin{gathered} y=\frac{13\times8X}{13} \\ y=8X \end{gathered}[/tex]This is the equation that represents y in terms of X.
(30 points) need help asap
Answer:
I don't know the value of X. The question says it's in question 2.
Step-by-step explanation:
Explanation on picture
all you need is in the photo PLEASE DON'T DO STEP BY STEP BECAUSE IS SO CONFUSING PUT ONLY THE ANSWER
A) The ball in the ground is represented by h(t)=0, that is, the height is equal to 0, the reference level.
Then, we can find for which values of t we have h(t).
We equal h(t) to 0 and calculate t as:
[tex]\begin{gathered} h(t)=-16t^2+64t=0 \\ 64t-16t^2=0 \\ 16t(\frac{64}{16}-t)=0 \\ t_1=0\text{ (first solution)} \\ t_2=\frac{64}{16}=4\text{ (second solution)} \end{gathered}[/tex]The ball is in the ground at time t=0 (an instant before it is kicked) and then again at time t=4, that is the value we are looking for: the ball landed again in the ground 4 seconds after kicked.
B) The maximum height can be find in two ways:
- By finding the t-value of the vertex, that in this case will be correspond to the maximum height as this is a concave down parabola with only one extreme point.
- Deriving the function and equaling to 0 and finding t.
If we apply the first method, we have:
[tex]\begin{gathered} h(t)=-16t^2+64x=-16(x^2-4x) \\ -16(x^2-4x) \\ -16(x^2-4x+4-4) \\ -16((x-2)^2-4) \\ -16(x-2)^2+64\longrightarrow\text{Vertex:}(2,64) \end{gathered}[/tex]As the vertex is at time t=2 seconds, the maximum height happens at t=2.
Answer: A) t = 4 seconds B) t = 2 seconds
NOTE for Part B:
If we derive the expression, we get:
[tex]undefined[/tex]23)
A health club charges $150 per month for each member, plus an hourly rate of $5
for the use of the club's facilities. The function shown below can be used to deter-
mine the cost in dollars per month for the use of this health club's facilities.
f(h) = 150 + 5h.
Janine used the club's facilities in October, November, and December. If she paid
$300 in October, $380 in November, and $330 in December, how many total hours
did she spend at the club during these three months?
the shape of the density curve for a dataset is like a triangle. that is, as we move to the left of the horizontal axis, it starts from zero height, then rises linearly until some peak, then declines linearly until reaches zero, then stays zero from there onward. if we standardize this dataset by calculating the standard scores, what is the geometrical shape of the density curve for the standardized dataset?
It will be similar to the original triangle.
The shape of the density curve for a dataset is like a triangle, that is, as we move to the left of the horizontal axis, it starts from zero height, then rises linearly until some peak, then declines linearly until reaches zero, then stays zero from there onward. If we standardize the dataset by calculating the standard scores, the geometrical shape of the density curve will more or less be the same. i.e., similar to the original triangle. Scale of it will be just changed.
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Thanks to whoever helps
Answer:
Step-by-step explanation:
erm
A triangle is 180 degrees
Add both angles then subtract by 180