Answer:
35
Step-by-step explanation:
When the two lines being crossed are Parallel Lines the Consecutive Interior Angles add up to 180°.
So, x + 12 + 4x - 7 = 180.
5x + 5 = 180
5x = 175
x = 35
Rewrite the equation by completing the square.
x^2 - 4x + 3 = 0
Answer:
the answer would be x=3,1
Answer:
After completing the square, we can say:
(x - 2)² = 1
If we solve for x, this tells us that x has a value of both 1 and 3.
Step-by-step explanation:
Given:
x² - 4x + 3 = 0
We can complete the square by adding 1 to both sides:
x² - 4x + 4 = 1
(x - 2)² = 1
We can then solve for x by saying:
(x - 2)² = 1
x - 2 = √1
x = 2 ± 1
x = 1, 3
explain why the miniscus of water is bent downwards
Answer:
A concave meniscus, which is what you normally will see, occurs when the molecules of the liquid are attracted to those of the container. This occurs with water and a glass tube. A convex meniscus occurs when the molecules have a stronger attraction to each other than to the container, as with mercury and glass.
URGENT I need help.
Plzzzzzzzzzzzzzzzzzzzzzz Its Attached
Answer:
what is you belling? yesterday y monday
Janie ordered boxed lunches for a student advisory committee meeting. Each lunch costs $4. The total cost of the lunches is $47, including a $7 delivery fee. Write and solve an equation to find x, the number of boxed lunches Janie ordered.
Answer:
10 lunches
Step-by-step explanation:
$47-$7=$40
40/4=10
Hello, 928747!
So we are trying to find how many boxed lunches Janie ordered.
Each box is $4.00 and the total cost is $47.00 + delivery fee of $7.00
So to find this, we will first subtract the delivery fee because that does not count towards the lunches.
47 - 7 = 40
So the boxed lunches cost $40.00
To find how many Janie ordered, we will divide 4 by 40
40 ÷ 4 = 10
So Janie bought 10 boxed lunches.
The equation would be (47 - 7) ÷ 4
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Mel uses one fourth of a yard of ribbon to make a hair bow how many hair bows can mel make with 1 yard of ribbon
Answer:
4
Step-by-step explanation:
If its 1/4 then you can use it 4 times to equal a whole yard
determine whether the parallelogram is a rectangle or rhombus J(5,2), K(2,5), L(-1,2), M(2,-1)
Answer:
Rhombus
Step-by-step explanation:
6(2x-4)=12x+k what is the value of k will create an equation with infinitely many solutions
Answer:
K = -24
Step-by-step explanation:
I didn’t get the second question
plz help me solve this
Answer:
[tex]=2x^{5} y^{5} \sqrt{7}[/tex]
Step-by-step explanation:
Leticia and Carmen were each given 120 math questions for the month. After 3 weeks,
Leticia completed 75% of the problems and Carmen completed 60% of the problems
How many more questions did Leticia complete thon Carmen?
a total of 11℅ students at a large high school are left-handed. A statistics teacher selects a random sample of 100 students and records L = the number of left-handed students in the sample.
a. Explain why L can be modeled by a binomial distribution even though the sample was selected without replacement.
b. use a binomial distribution to estimate the probability that 15 or more students in the sample are left-handed handed.
The probability that 15 or more students in the sample are left-handed handed is 0.0752
(a) Why L can be a binomial distribution
From the question, we understand that 11% of the students are left-handed; this means that 89% are not left-handed
This, in other words means that:
For each observation, the student is either left-handed or not left-handed
Hence, the distribution can be represented by a binomial distribution
(b) The probability that 15 or more are left-handed
The sample size is given as:
[tex]\mathbf{n = 100}[/tex]
And the proportion is
[tex]\mathbf{p = 11\%}[/tex]
The mean of the dataset is:
[tex]\mathbf{\mu = np}[/tex]
[tex]\mathbf{\mu = 100 \times 11\%}[/tex]
[tex]\mathbf{\mu = 11}[/tex]
The standard deviation of the dataset is:
[tex]\mathbf{\sigma = \sqrt{\mu(1- p)}}[/tex]
So, we have:
[tex]\mathbf{\sigma = \sqrt{11 \times (1- 11\%)}}[/tex]
[tex]\mathbf{\sigma = \sqrt{11 \times 89\%}}[/tex]
[tex]\mathbf{\sigma = \sqrt{9.79}}[/tex]
[tex]\mathbf{\sigma = 3.13}[/tex]
So, the probability is represented as:
[tex]\mathbf{P(x \ge 15)}[/tex]
Using continuity correction, we have:
[tex]\mathbf{P(x \ge 15) = P(x \ge 15.5)}[/tex]
Calculate the z-score for x = 15.5
[tex]\mathbf{z =\frac{x - \mu}{\sigma}}[/tex]
So, we have:
[tex]\mathbf{z =\frac{15.5 - 11}{3.13}}[/tex]
[tex]\mathbf{z =\frac{4.5}{3.13}}[/tex]
[tex]\mathbf{z =1.438}[/tex]
The probability is then calculated as:
[tex]\mathbf{P(x \ge 15) = P(z \ge 1.438)}[/tex]
Using z-tables of probabilities, we have:
[tex]\mathbf{P(x \ge 15) = 0.075217}[/tex]
Approximate
[tex]\mathbf{P(x \ge 15) = 0.0752}[/tex]
Hence, the probability is 0.0752
Read more about binomial distribution at:
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Azil runs 6 times four-fifths laps on Monday. Which fraction represents the number of laps that Azil runs on Monday?
Answer:
24 / 5 laps
Step-by-step explanation:
Fraction of laps run = 4/5 laps
Number of times lap was run = 6
Fraction representing total laps run :
6 * (4/5)
= 24 / 5
Or
24 /5 = 4 4/5 laps
I have to solve this: (2x + 2/5)+(5x-4/5) and then simplify it.
Answer:
35x - 2
———————
5
i hope this helps
Step-by-step explanation:
Answer:
7x + 6/5 or 7x + 1 1/5
Step-by-step explanation:
Ya welcome.
What is the value of y? A. 57 B. 33 C. 66 D. 114
Answer:
57
Step-by-step explanation:
a pec
Option A is correct, the value of y is 57 degrees in the triangle.
We have to find the value of y in the given triangle.
Initially let us find the adjacent angle or interior angle which is adjacent to 114 degrees.
We know the straight line has an angle of 180 degrees
114+x=180
x=66 degrees.
By angle sum property the sum of three angles is 180 degrees.
66+y+y=180
66+2y=180
Subtract 66 from both sides:
2y=180-66
2y=114
Divide both sides by 2:
y=57 degrees
Hence, the value of y is 57 degrees in the triangle.
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ordenar de mayor a menor los siguientes números racionales
[tex] \frac{2}{5}; - \frac{1}{4}; - 0.43; \frac{2}{3} ; - \frac{4}{5} ; - \frac{3}{2} ; - 0.2[/tex]
necesito ayuda por favor
A directed line segment begins at F(-8, -2), ends at H(8, 6), and is divided in the ratio 8 to 2 by G. What are the coordinates of G?
Given:
A directed line segment begins at F(-8, -2), ends at H(8, 6), and is divided in the ratio 8 to 2 by G.
To find:
The coordinates of point G.
Solution:
Section formula: If a point divide a line segment with end points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in m:n, then the coordinates of that point are
[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
Point G divide the line segment FH in 8:2. Using section formula, we get
[tex]G=\left(\dfrac{8(8)+2(-8)}{8+2},\dfrac{8(6)+2(-2)}{8+2}\right)[/tex]
[tex]G=\left(\dfrac{64-16}{10},\dfrac{48-4}{10}\right)[/tex]
[tex]G=\left(\dfrac{48}{10},\dfrac{44}{10}\right)[/tex]
[tex]G=\left(4.8,4.4\right)[/tex]
Therefore, the coordinates of point G are (4.8, 4.4).
Find x
Geometry angles question
Answer:
5
Step-by-step explanation:
When the angles are vertical you set up your equation to 180
3x-35+130=180 and solve
A credit card company charges the retail stores a 1.5% fee for each transaction. If a store receives $2,400 in credit card charges one day, how much will it have to pay in fees?
Answer: It will have to pay $36 in fees.
Step-by-step explanation: Hope this helps:) please mark me brainliest.
can y'all pls help me I don't want to fail and I will mark.
Answer:
the slope is 2/3
Step-by-step explanation:
Evaluate ƒ(x) when x = 10
Answer:
10f ?
Step-by-step explanation:
fx10
A puppy eats a sausage 5 seconds faster than a kitten eats an identical sausage. If they share one sausage, they can eat it in 6 seconds. How long does it take each animal to eat a sausage alone?
Answer:
Kitten is 15 seconds and dog is 10 seconds
In work and time the time taken is inversely proportional to the work done. Work and time is a concept to solve the problems of work related question in a given time.The kitten eats a sausage in 15 seconds and puppy eats a sausage in 10 seconds.
What is concept of Work and time?
In work and time the time taken is inversely proportional to the work done. Work and time is a concept to solve the problems of work related question in a given time
Given-Puppy and kitten eats one sausage combined in 6 sec.
A puppy eats a sausage 5 seconds faster than a kitten eats an identical sausage.
Let puppy eats a sausage in [tex]x[/tex] seconds and kitten eats a sausage in [tex]y[/tex] seconds.
As Puppy and kitten eats one sausage combined in 6 sec.Thus,
[tex]\dfrac{1}{x} +\dfrac{1}{y} =\dfrac{1}{6}[/tex]
Let above equation is equation one.
A puppy eats a sausage 5 seconds faster than a kitten eats an identical sausage. Thus
[tex]\dfrac{1}{x} -\dfrac{1}{y}=\dfrac{1}{5}[/tex]
Put this value of [tex]x[/tex] in the the equation one to get the value of y. Therefore,
[tex]\dfrac{1}{6} -\dfrac{1}{y}-\dfrac{1}{y}=\dfrac{1}{5}[/tex]
[tex]-\dfrac{1}{2y}=\dfrac{1}{5}-\dfrac{1}{6}[/tex]
[tex]-\dfrac{1}{2y}=-\dfrac{1}{30}[/tex]
[tex]y=15[/tex]
Thus the kitten eats a sausage in 15 seconds.
Put the value of y in equation one. thus,
[tex]\dfrac{1}{x} +\dfrac{1}{15} =\dfrac{1}{6}[/tex]
[tex]\dfrac{1}{x} =\dfrac{1}{6}-\dfrac{1}{15}[/tex]
[tex]\dfrac{1}{x} =\dfrac{9}{90}[/tex]
[tex]x=10[/tex]
Thus the puppy eats a sausage in 10 seconds.
Hence the kitten eats a sausage in 15 seconds and puppy eats a sausage in 10 seconds.
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2/3 times 1/2 =
IN SIMPLEST FORM
I GIIVE BRAINY
Answer:
1/3!
Step-by-step explanation:
Look us Cymath on g0ogle, its a calculator that shows its work!
I really need help. ( Intro to limits )
please answer I need the answer!!
Answer:
They have different slopes but the same y-intercept, so they have one solution.
Step-by-step explanation:
Both equations are organized in slope-intercept form, y=mx+b. m is the slope and b is the y-intercept.
In the first equation, the slope is 1/2 and the y-intercept is -3.
In the second equation, the slope is -1/2 and the y-intercept is -3.
These two equations have different slopes, in fact, the second equation has the same slope except negative. This means that they travel with the same steepness but one goes up and the other goes down.
However, they have the same y-intercepts. This means that they both intercept the same point on the y axis. Wherever two equations intercept is their solution.
Therefore, these two equations have one solution.
I hope this helps!
Deriving the Trigonometric Area Formula
Follow these steps to derive the trigonometric area formula,
1. For LABD, sin(A) =
B
h
А
D
Check
b
Answer:h/c
Step-by-step explanation:
What number is halfway between
1/5
and
4/15
Answer:
1/5+4/5
1×5/5+4×1/5
5/5+4/5
5+4/5
9/5
(9/5)/2
A student solved the equation below by graphing. log Subscript 6 Baseline (x minus 1) = log Subscript 2 Baseline (2 x + 2) Which statement about the graph is true? The curves do not intersect. The curves intersect at one point. The curves intersect at two points. The curves appear to coincide.
Answer:
A.) The curves do not intersect.
Step-by-step explanation:
By looking at the graph, we can see that the curves do not intercept, meaning that the equation has no solutions.
Graphs of logarithmic functions:First, here we have the graph of the lines:
y = log₆(x - 1)y = log₂(2x + 2)Which can be seen at the end of the answer.
In the graph, you can see that the lines never do intercept, this means that the equation:
log₆(x - 1) = log₂(2x + 2)
Has no solutions.
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It is given that x2 - 6x + 14 = (x+p) +9 Find the value of p and q.
Answer:
-3x2-6x-3+14 that is the answer
Step-by-step explanation:
x/-3
if √2 = 1.414 then find the value of (√50+√72) please solve
Given:
[tex]\sqrt{2}=1.414[/tex]
To find:
The value of [tex]\sqrt{50}+\sqrt{72}[/tex].
Solution:
We have,
[tex]\sqrt{50}+\sqrt{72}[/tex]
It can be rewritten as
[tex]=\sqrt{2\times 25}+\sqrt{2\times 36}[/tex]
[tex]=\sqrt{2}\times \sqrt{25}+\sqrt{2}\times \sqrt{36}[/tex] [tex][\because \sqrt{ab}=\sqrt{a}\sqrt{b}][/tex]
[tex]=5\sqrt{2}+6\sqrt{2}[/tex]
[tex]=11\sqrt{2}[/tex]
Putting [tex]\sqrt{2}=1.414[/tex], we get
[tex]=11(1.414)[/tex]
[tex]=15.554[/tex]
Therefore, the value of given expression is 15.554.
15 - 3x = - 6 x=____ help
Answer:
[tex]15 - 3x = - 6 \\ - 3x = - 6 - 15 \\ = 21 \\ x = \frac{21}{ - 3} \\ x = - 7[/tex]
Solve for x using factoring.
Answer:
the answer is [tex]\frac{3x^{2} -10x+15}{4x^{2} -12x}[/tex]
Step-by-step explanation: