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Explanation:
The equation y = (2/9)x is in the form y = kx
In this case, k = 2/9.
The value of k is the constant of proportionality.
All direct proportion equations are in the form y = kx. Their graphs go through the origin. The slope of the line is the same as the constant of proportionality.
6th grade math i mark as brainliest
Ellen takes a multiple-choice quiz that has 4 questions, with 3 answer choices for each question. What is the probability that she will get exactly 1 answer correct by guessing? Probabilities should be entered as fractions in simplest form, decimals rounded to the nearest thousandth, or percents rounded to the nearest tenth.
Answer: The probability is 32/81, or 0.395 in decimal form
Step-by-step explanation:
Each question has 3 answers.
one of the answers is correct, and 2 are incorrect.
Then the probability of selecting at random the correct answer, is equal to the quotient between the number of correct answers and the total number of answers, this is:
p = 1/3.
Then the probability of answering wrong is:
q = 1 - 1/3 = 2/3.
Now, we want to find the probability of answering exactly one question correctly.
Let's suppose that Ellen answers correctly the first question, and incorrectly the other 3.
then we have the probability 1/3 one time, and the probability 2/3 3 times.
And as we know, the joint probability will be equal to the product of the individual probabilities, this is:
P = (1/3)*(2/3)*(2/3)*(2/3).
But this is for the case where only the first one is answered correctly, we also have the cases where:
the 2nd is the only one answered correctly
the 3rd is the only one answered correctly
the 4th is the only one answered correctly.
Then we have 4 permutations, which means that the actual probability of answering only on question correctly is:
P' = 4*P = 4*(1/3)*(2/3)*(2/3)*(2/3) = (4*2*2*2)/(3*3*3*3) = 32/81 = 0.395
I’ll give BRAINLIEST just pls help :(
Answer:
September
December
May and December
Step-by-step explanation:
I am not sure about the last one
Four-thirds times the sum of a number and 8 is 24. What is the number?
ОА.
40
OB. 26
O C. 24
OD
10
Answer:
D, 10.
Step-by-step explanation:
10+8=18 4/3x18=24
What is the slope of AB in parallelogram ABCD?
The slope of the line [tex]\overline{AB}[/tex] is the rate at which the line rises at a point.
[tex]\mathrm{The \ slope \ of \ \overline{AB} \ is \ D.} \ \dfrac{5}{2}}[/tex]
Reasons:
The slope of a line is given by the ratio of the rise to the run of the line
The coordinates of point A = (-9, -4)
The coordinates of point B = (-5, 6)
The rise of the line [tex]\overline{AB}[/tex] = The difference in the y-values = (6 - (-4)) = 10
The run of the line [tex]\overline{AB}[/tex] = The difference in the x-values = (-5 - (-9)) = 4
[tex]Slope \ of \ \overline{AB}= \dfrac{Rise \ of \ line \ \overline{AB}}{Run \ of \ line \ \overline{AB}}[/tex]
Therefore
[tex]Slope \ of \ \overline{AB}= \dfrac{10}{4} = \dfrac{5}{2}[/tex]
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What is the square root of 10,000 in simplest radical form?
Answer:
Step-by-step explanation:
the answer is 100
I need the value of X
Answer:
31
Step-by-step explanation:
x+24+4x+1=180
5x+25=180
5x=155
x=155/5=31
Use the drop-down menus to complete the solution to the equation cos(pie/2-x)=square root 3/2 for all possible values of x on the interval [0,2pie].
Answer:
0
1
sin
3
3
Step-by-step explanation:
These are the answers in order from every blank
The value of cos(π/2) is 0 sinπ/2 is 1 further sinx = √3/2 thus x = π/3,2π/3.
What is a trigonometric function?The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.
The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.
As per the given trigonometric equation,
cos(x)cosπ/2 + sin(x)sinπ/2 = √3/2
Since, cosπ/2 = 0 and sinπ/2 = 1
cos(x)(0)+ sin(x)(1) = √3/2
sinx = √3/2
sinx = sin π/3 = sin 2π/3.
Hence "The value of cos(π/2) is 0 sinπ/2 is 1 further sinx = √3/2 thus x = π/3,2π/3".
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I need help I’m timed
what is the y- intercept of the linear function?
y= 1/2 x + 4
Answer: (0,4)
Step-by-step explanation:
Paul was making some brownies and cupcakes for his school fundraiser. If the brownies needed 4.8 cups of sugar and the cupcakes needed 5.2 cups, how much sugar would he need altogether?
Answer:
10 cups in total.
Step-by-step explanation:
4.8+5.2= 10.00
add the .2 to the 4.8 you get get 5 then add 5.0+5.0
Andre took a trip from Boston, Massachusetts to Paris, France. In 6 2/3 hours, the plane flew 3,669 4/5 miles. How far had the plane traveled in 1 hour?
550 47/100 miles per hour.
Answer:
550.47
Step-by-step explanation:
3669 4/5 ÷ 6 2/3 = 550.47
Hope this helps:)
How would I solve this? I tried and I got a reallly crazy number... I think I messed up somewhere. The question is... Jack and Mark work together on a job, but not equal hours. Mark gets paid $11 per hour and Jack gets paid $10 per hour. Together they worked 58 hours and earn a total of $601. How many hours did each one work?
I made these equations.
m+j=58
11m+10j
The first one I rearranged to m=58-j.
Answer:
Jack earns $37
Mark earns $21
Step-by-step explanation:
m + j = 58
11m + 10j = 601
j = 58 - m
11m + 10(58 - m) = 601
11m + 580 - 10m = 601
1m = 601 - 580
m = 21
j = 58 - m
j = 58 - 21
j = 37
What are the exact solutions of x2 − 5x − 7 = 0, where x equals negative b plus or minus the square root of b squared minus 4 times a times c all over 2 times a
Answer:
[tex]x = \frac{5 + \sqrt{53}}{2}[/tex] or [tex]x = \frac{5 - \sqrt{53}}{2}[/tex]
Step-by-step explanation:
Given
[tex]x^2 - 5x - 7 = 0[/tex]
Required
Solve for x using:
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
First, we need to identify a, b and c
The general form of a quadratic equation is:
[tex]ax^2 + bx + c = 0[/tex]
So, by comparison with [tex]x^2 - 5x - 7 = 0[/tex]
[tex]a = 1[/tex] [tex]b = -5[/tex] [tex]c = -7[/tex]
Substitute these values of a, b and c in
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]x = \frac{-(-5) \± \sqrt{(-5)^2 - 4 * 1 * -7}}{2 * 1}[/tex]
[tex]x = \frac{5 \± \sqrt{25 +28}}{2}[/tex]
[tex]x = \frac{5 \± \sqrt{53}}{2}[/tex]
Split the expression to two
[tex]x = \frac{5 + \sqrt{53}}{2}[/tex] or [tex]x = \frac{5 - \sqrt{53}}{2}[/tex]
To solve further in decimal form, we have
[tex]x = \frac{5 + 7.28}{2}[/tex] or [tex]x = \frac{5 - 7.28}{2}[/tex]
[tex]x = \frac{12.28}{2}[/tex] or [tex]x = \frac{-2.28}{2}[/tex]
[tex]x = 6.14[/tex] or [tex]x = -1.14[/tex]
A cyclist travels at a speed of 15 miles per hour for 1.5 hours.Find the distance the cyclist travels
Answer:
22.5 miles
Step-by-step explanation:
15 miles every hour, and there is 1.5 hours, so cut 15 in half, 7.5 and add that the 15
What is 12x³ – 9x² – 4x + 3 in factored form? hurry...
Answer:
Combine Like Terms:
=1728+−9x^2+−4x+3
=(−9x^2)+(−4x)+(1728+3)
= −9x^2+−4x+1731
Lucinda is saving money for a hot-air balloon trip to celebrate her graduation. She needs $300 dollars. Express this amount as an integer. Is this represented by a negative number or a positive number?
Answer:
Positive number
Step-by-step explanation:
Given that:
Lucinda is saving money for a hot-air balloon trip to celebrate her graduation and she needs $300 dollars.
Let x be the amount of her savings and she needs $300
SO;
x + 300 = 0
As an integer, it is represented by a positive number because she needs this amount of money in addition to what she already saved.
2x/3 < 10
Solve the inequality
Answer:
x < 15
Step-by-step explanation:
we want to isolate x, so we get rid of the 3, that is being divided by 2x, we take it to the other side to multiply.
2x < 10 x 3
2x < 30
we move the 2 that is multiplying x to the other side, since it was multiplying, we make inverse operations and now the 2 will divide 30
x < 30 ÷ 2
x < 15
Answer:
x=15 or false
Step-by-step explanation:
In order to find x you have to get the x by itself. To do this you multiply 3 on both sides this gives you 2x<30. Then you divide by 2, this gives you x=15. Then in order to find whether or not the inequality is true you have to plug x back in. 2(15)/3<10 is equal to 30/3=10 which leads to 10<10, which is false.
Find the length of RS 40 10 9 8 A. 73 units B. About 8.5 units C. About 3.3 units D. 11 units
Answer:
4,9
Step-by-step explanation:
Answer:
It's B
Step-by-step explanation:
Question 2
8 pts
You buy a bike for $200 and a skateboard for $30. What is the total cost if the tax rate is
8.25%? Round your answer to the nearest hundredth.
I
Answer:
$248.98
Step-by-step explanation:
200 + 30 = 230.
8.25% of 230 is 18.975, rounded to $18.98.
230 + 18.98 = 248.98.
At a book store there are 25 books on the clearance section. 20 of the books are young adult novels and the rest of the books are picture books. Which statement is not true?
For every 4 young adult novels, there is 1 picture book
For every 5 books, 4 are young adult novels
The ratio of picture books to young adult novels is 1:4
There is 1 picture book for every 5 books
All statements are true
Answer:
all answers are true I think
If the school supply kit regularly cost $25 how much does it cost after the 20% discount
The amount of the school supply kit after the discounted price is $ 20
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the amount of the school supply kit be A
The value of A is $ 25
The percentage discount of the school supply kit = 20 %
So , the value of the percentage amount is given by the equation
The cost of the school supply kit after discount = ( amount of the school supply kit - ( percentage discount of the school supply kit x amount of the school supply kit ) )
Substituting the values in the equation , we get
The cost of the school supply kit after discount = 25 - ( 20/100 x 25 )
The cost of the school supply kit after discount = 25 - ( 25 x 0.2 )
The cost of the school supply kit after discount = 25 - 5
The cost of the school supply kit after discount = $ 20
Therefore , the discounted price is $ 20
Hence ,
The amount of the school supply kit after the discounted price is $ 20
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ASAP I AM BEING TIMED I WILL MARK BRAINLIST
In psychology, the word "Gestalt" refers to
 A. a personality type

B. an adaptation that increases chances of survival 
C. the organization of parts into a whole pattern
 D. a learned response to a stimulus  E. the unconscious forces that drive behavior
Answer:
C. the organization of parts into a whole pattern
Step-by-step explanation:
La Distribuidora Industrial Dulzura va a seleccionar entre dos compañías para transportar su azúcar al mercado. La primera compañía cobra 49,430.00 por alquilar los camiones más 2,480.50 adicionales por cada tonelada de azúcar. La segunda compañía cobra 60,500.00 por alquilar los camiones más 1,927.20 adicionales por cada tonelada de azúcar.
Answer: La cuenta de Milla ganaría $63 más que la cuenta de Gion después de 1 año.
John wants to draw a circle graph showing his friends favorite ice cream flavors. When he polled his friends asking each their favorite flavor of ice cream, 35% of his friends aid chocolate, 20% of his friends said vanilla, 15% of his friends said Strawberry, 25% of his friends said mint chocolate chip, and 5% of his friends said flavors other than those previously listed. What will be the degree measure of the vanilla sector of the circle graph?
Answer:72
Step-by-step explanation:
A licensed nurse practitioner is instructed to give a patient 1500 milligrams of an antibiotic over a period of 36 hours. If the antibiotic is to be given every 2 hours starting immediately, how much antibiotic should be given in each dose? To answer this question, solve the equation 18x=1500.
Answer:
83.33 milligrams
Step-by-step explanation:
The equation, [tex] 18x = 1500 [/tex] represents the total dosage of antibiotics to be given to the patient in relation to the hours.
Thus, the each dosage = x.
Let's solve for x
[tex] 18x = 1500 [/tex]
Divide both sides by 18
[tex] \frac{18x}{18} = \frac{1500}{18} [/tex]
[tex] x = 83.33 milligrams [/tex] (nearest hundredth)
Write an expression for the perimeter of the triangle shown below:
A triangle is shown with side lengths labeled 0.3x plus 24, 5x, and 0.2x minus 15.
Answer: The expression is 5.5x + 9 for the perimeter of the triangle described.
Step-by-step explanation: Add the three lengths given to find the perimeter.
0.3x + 24,
+ 5x,
+ 0.2x - 15 Combine like terms
=5.5x + 9
Answer:
The perimeter is the sum of all sides.
Step-by-step explanation:
What is the solution to this system of equations?
o 14. - 1/2)
0 (4,-
Ono solution
infinitely many solutions
Answer:
one solution
Step-by-step explanation:
Given the equations
1/4x + 1 1/2y =5/8 ..... 1
3/4x - 1 1/2y =3 3/8 ..... 2
Get the value of x
Add both equations
1/4x + 3/4x = 5/8+3 3/8
4x/4 = 5/8+27/8
x = 32/8
x= 4
Substitute x = 4 into equation 1
From 1;
1/4x + 1 1/2y =5/8 .
1/4(4) + 3/2 y = 5/8
1 + 3/2 y = 5/8
3/2 y = 5/8 - 1
3/2 y = -3/8
Cross multiply
24y = -6
y = -6/24
y = -1/4
Hence the solution {x,y) is (4, -1/4)
The system has only one solution
The total cost of renting a banquet hall is a function of the number of hours the
hall is rented. The owner of the banquet hall charges $45 per half hour up to a
maximum of 5 hours and a $50 cleaning fee. The equation used to express the
situation is C = 45h + 50, where h is the number of half hours. What is the
greatest value in the range for this situation?
9514 1404 393
Answer:
$500
Step-by-step explanation:
The greatest rental time is 5 hours, which is 10 half-hours. The value of C for h=10 is ...
C = 45·10 +50 = 450 +50 = 500
The greatest value in the range for this situation is $500.
please help me, i need this so much
Answer:
Do you have insta cus if u do follow _l.bartlett
Step-by-step explanation:
1. x<-3
2. z[tex]\leq[/tex] -5
3. y<2
4. 3 [tex]\leq[/tex]x<7
( Which of the following best describes an ecosystem in a neighborhood garden?