Answer:
[tex]x=-24[/tex]
Step-by-step explanation:
[tex]\frac{x}{12} +\frac{1}{3} =-\frac{5}{3}[/tex][tex]=\frac{x}{12}[/tex]
Subtract 1/3 from both sides;
[tex]\frac{x}{12} +\frac{1}{3} -\frac{1}{3} =-\frac{5}{3}-\frac{1}{3}[/tex]
Simplify;
[tex]\frac{x}{12} +\frac{1}{3} -\frac{1}{3} =-\frac{5}{3}-\frac{1}{3}[/tex]
Simplify;
[tex]\frac{x}{12} +\frac{1}{3} -\frac{1}{3}[/tex]
Add similar elements;[tex]\frac{1}{3} -\frac{1}{3} =0[/tex]
[tex]=\frac{x}{12}[/tex]
Simplify; [tex]-\frac{5}{3} -\frac{1}{3}[/tex]
=[tex]\frac{-5-1}{3}[/tex]
Subtract the numbers;-5-1=-6
[tex]\frac{-6}{3}[/tex]
Apply fraction rule;
[tex]-\frac{6}{3}[/tex]
Divide the numbers [tex]\frac{6}{3}[/tex]
=-2
[tex]\frac{x}{12} =-2[/tex]
Multiply both sides by 12
[tex]\frac{12x}{12} =12(-2)[/tex]
Simplify;
[tex]x=-24[/tex]
HURYY THIS IS WORTH ALOT I’ll make brainlist
Answer:
B.4
Step-by-step explanation:
NASAGUTAN KO YAN TAMA AKO
Laila took a very long Math exam and got 24 questions wrong out of 120 questions. What percentage of the total questions did she get correct?
Answer:
Laila got 96 out of 120 questions wrong. Laila got 80% on the exam. 20% is the rate of the 24 questions you missed.
Step-by-step explanation:
Hope this helps u
Solve this equation:
7x - [5 + (3x - 2)] = x - (4x - 5) + (2x - 1)
Answer:
x = 7/5
I hope this helps
Step-by-step explanation:
7x - [5 + (3x - 2)] = x - (4x - 5) + (2x - 1)
7x - 5 -3x +2 = x -4x +5 +2x -1
4x -3 = -x +4
4x +x = 4+3
5x = 7
x = 7/5
Find the quotient of 1 1/4 and 3 1/2 express your answer in simplest form
Answer:
11/14
Step-by-step explanation:
11/4 / 3 1/2
3 1/2= 3*2+1= 6+1=7/2
11/4 * 2/7= 22/28
22/2=11
28/2= 14
11/14
11/14 is the answer! (Quotient in simplest form)
Write an inequality to express the fact that a checking account balance of $56 is less than a balance of $21. What is the difference in the balances?
Answer:
120
Step-by-step explanation:
Caroline is going to invest $5,500 and leave it in an account for 10 years. Assuming
the interest is compounded continuously, what interest rate, to the nearest tenth of a
percent, would be required in order for Caroline to end up with $10,100?
Answer:
6.1
Step-by-step explanation:
I just know
Which function IS graphed below?
Answer:
first you write your full question then ,i will try.
Step-by-step explanation:
please give me brain list and follow
WHAT DIVIDED BY 9 = -5
Answer:
−1.8
Step-by-step explanation:
18. Elyse has a gift card that she can use to
rent movies online. The graph shows the amount of
money remaining on her gift card based on the number
of movies she rents.
a. Write an equation to represent the situation.
b. What is the y-intercept, and what does it mean in the
context of the situation?
c. What is the slope, and what does it mean in the context
of the situation?
Answer:
Step-by-step explanation:
The complete question in the attached figure
Let
x ----> the number of movies
y ----> the amount of money remaining on her gift card
we know that
The slope of the linear equation is equal to the unit rate
take two points from the graph
(0,18) and (2,12)
Find the slope
---> is negative because is a decreasing function
That means -----> Each movie she rents cost her $3, so her gift card balance will decrease $3 for every movie rented
The linear equation is equal to
For y=0
so
6 is the maximum number of movies that Elyse can rent on line
The solution is
a) The equation of line is y = -3x - 6
b) The y-intercept of the line is -6 which means when the number of movies x = 0 , the amount on gift y = -6
c) The slope of the line is -3 which means the rate of change of amount on gift is decreasing with number of movies x
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be A
The value of A = A ( 2 , 12 )
Let the second point be B = B ( 4 , 6 )
a)
Now , the slope of the line is given by the equation
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
On substituting the values in the equation , we get
Slope m = ( 6 - 12 ) / ( 4 - 2 )
Slope m = -6/2
Slope m = -3
Therefore , the slope is -3
The equation of line is given by the formula
y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 12 = -3 ( x - 2 )
On simplifying the equation , we get
y - 12 = -3x + 6
Adding 12 on both sides of the equation , we get
y = -3x - 6
So , the equation of line is y = -3x - 6
b)
The y intercept of the equation of line y = -3x - 6 is -6 , when x = 0
c)
The slope of the line y = -3x - 6 is m = -3 and the value is decreasing
Hence ,
a) The equation of line is y = -3x - 6
b) The y intercept of the equation of line y = -3x - 6 is -6
c) The slope of the line y = -3x - 6 is m = -3
To learn more about equation of line click :
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i need to find the area but i don’t know the steps
Answer:
48in2
Step-by-step explanation:
1/2 × (11.9+4.1) ×6= 48in2
If the endpoints of the diameter of a circle are (6, -2)and (-6 ,2)what is the standard form equation of the circle
Answer:
[tex]x^2 + y^2 - 40 = 0[/tex]
Step-by-step explanation:
Given
[tex](h_1,k_1) = (6,-2)[/tex]
[tex](h_2,k_2) = (-6,2)[/tex]
Required
Determine the equation of the circle
First, calculate the midpoint of the given coordinates:
[tex](h,k) = \frac{1}{2}(h_1+h_2,k_1+k_2)[/tex]
[tex](h,k) = \frac{1}{2}(6-6,-2+2)[/tex]
[tex](h,k) = \frac{1}{2}(0,0)[/tex]
[tex](h,k) = (0,0)[/tex]
Next, calculate the radius.
This is the distance between [tex](0,0)[/tex] calculated above and any of [tex](6,-2)[/tex] [tex](-6,2)[/tex]
Using:
[tex](0,0)[/tex] and [tex](-6,2)[/tex], the radius is:
[tex]r = \sqrt{(0 - (-6))^2 + (0-2)^2}[/tex]
[tex]r = \sqrt{40}[/tex]
The equation is then calculated using:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
Where:
[tex]r = \sqrt{40}[/tex] and [tex](h,k) = (0,0)[/tex]
[tex](x - 0)^2 + (y - 0)^2 = (\sqrt{40})^2[/tex]
[tex](x )^2 + (y)^2 = 40[/tex]
[tex]x^2 + y^2 = 40[/tex]
[tex]x^2 + y^2 - 40 = 0[/tex]
Which ordered pair is a solution of the equation 3x − y = −10?
A. (3, 19)
B. (−10, −19)
C. (−10, −21)
D. (−3, −2)
Answer:
c
Step-by-step explanation:
Please solve quickly! Qestion: c - 1.5 = 7
Answer:
8.5
Step-by-step explanation:
c = 8.5
hope this helps
Answer:8.5
Step-by-step explanation:
Add 7 and 1.5
Right triangles trigonometry
Step-by-step explanation:
1.
sin63=x/16
16sin63=14.3
x=14.3
help pls need help before my daughter pls and thank you
Answer:
I would say line d
Step-by-step explanation:
its the line of best fit (has the most points going through it)
Which of the following number sentences show the correct method to find 43% of 59 Select TWO that apply.
A)43 x 59
B)43/100 x 59
C)0.43 x 59
D)0.43 x 0.59
Answer:
a and b
Step-by-step explanation:
please help on this i cant understand it
Answer:
to get the probability you add the number of figure all together
divide the number of spheres with the total
ie
2 ÷ 10
you get 1÷ 5
you get the answer as 0.2
When tossing three coins, what is the probability of tossing exactly two tails?
Answer:
1/3?
Step-by-step explanation:
Answer:OK SO Since the outcome of a coin toss is equiprobable, the probability of getting exactly two tails out of three is equal to the number of ways to get two tails out of three - aka - divided by the total number of possible coin flip outcomes - aka . Ergo, 3/8 is the probability.
hope this helps have a nice day❤️
Step-by-step explanation:
A video game box is 15 inches long and 10
inches wide. If the volume of the box is 750
cubic inches, how tall is the box?
in inches
Answer:
The box is 5 inches tall
Step-by-step explanation:
The given dimensions of the video games are;
The length of the video game, L = 15 inches
The width of the video game, W = 10 inches
The volume of the video game box, V = 750 cubic inches
Assuming that the shape of the video game box is a cuboid, we have;
The formula for the volume of a cuboid, V = Length, L × Width, W × Height, H
∴ V = L × W × H
The height of the cuboid, H = V/(L × W)...(1)
Where, for the video game box;
L = Length = 15 in.
W = Width = 10 in.
V = Volume = 750 in.³
Plugging in the values of the variables in equation (1) gives;
H = V/(L × W) = 750 in.³/(15 in. × 10 in.) = 5 in.
The height of the box, H = 5 inches.
what ratio is equivalent to 6 out of 15
Answer:
40%
Step-by-step explanation:
Answer:
2:5
Step-by-step explanation:
6/15 divided by 3/3 = 2/5
2/5 is the most simplified it can get
2:5
PLEASE HELP MEEEEE THAnK YOU
What type of function has the possibility of two x-intercepts?
I. Linear
II. Quadratic
III. Absolute Value
A quadratic function has the possibility of two x-intercepts.
What is a quadratic function?
A quadratic function is one of the form f(x) = ax² + bx + c, where a, b, and c are numbers with a not equal to zero.
Given that a function having two x-intercepts
The graph of a quadratic function will always have one y-intercept and can have as many as two x-intercept.
Hence, a quadratic function has the possibility of two x-intercepts.
For more references on a quadratic function, click;
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Can someone help me????
Given that f(x) = 2x − 5, find the value of x that makes f(x) = 15.
Group of answer choices
20
25
5
10
Plzz help asap!!!
Answer:
25
Step-by-step explanation:
so you replace all the x's with 15 and it becomes
2×15-5
2×15=30
30-5=25
What is the probability of rolling an even number on a number cube and flipping a head with a fair coin?
I NEED UR HELP ASAP!! PLEASE
Answer:
4 inches
Step-by-step explanation:
To solve this, use the Pythagorean Theorem: a² + b² = c². You insert the measurements you have: 3² + b² = 5² or 9 + b² = 25. To solve this, subtract 9 from both sides: b² = 16. To solve for b (length) specifically, find the square root of 16: 4.
Hope it helps!
There is a line whose slope is and whose y-intercept is 20. What is its equation in
12
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Submit
Answer:
Step-by-step explanation:
y = (1/12)x + 20
what is 5.2x10^2 in standard form
CLICK ON THIS, 30 POINTS+BRAINLIEST
3RD TIME IM POSTING THIS! PLEASE HELP, THIS TIME BRAINLIEST AND 30 POINT!!!!!!!!
WHO WOULDN'T WANT THAT BY JUST ANSWERING 2 QUESTIONS!!!!!!!!
Answer:
30%
Step-by-step explanation:
5%
1st
Decreased by 20%
2nd
Increased by 10%
(Excuse me if im wrong, I did this in a rush)
AYUDAAAA AYUDAAAA NO ME ACUERDOOOOO AYUDAAA
2+5(520)÷8
anade 2 mas 5 multiplicow por 520 dividido por 8
Answer:
327
Step-by-step explanation:
2+5x520 divide by 8
2+325=327
Pls give brianly if its correct?