Sahil chooses a number, divides it by 8 , adds 8 to the answer. Then multiples the answer with 8 . He obtains the result as 952 . The number he chooses in the beginning was
TAKE POINTS
Let that be x
(x/8+8)8=952x/8+8=119x/8=119-8x/8=111x=111(8)x=888The number he chooses, in the beginning, was 888.
How can we interpret the division?When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division can be interpreted as equally dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.
Given that Sahil chooses a number, then divides it by 8, adds 8 to the answer. Then multiply the answer by 8.
Let the unknown number be represented by x.
Therefore,
(x/8+8)8 = 952
x/8+8 = 119
x/8 = 119-8
x/8 = 111
x = 111(8)
x = 888
Therefore, the unknown number would be; 888.
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For year y, the population of massachusetts was approximately what percent of the population of vermont?
Answer: 50%
Step-by-step explanation: 50%
What is the slope-intercept equation of the line below?
Answer:
y= 2x - 3
Step-by-step explanation:
To calculate the slope (or gradient) of a line, take two points on the line whose x and y values are easy to read. Then divide the difference of they y-coordinate values by the difference of their x-coordinate values.
Here I have taken the points p (3, 3) and q (1, -1) to calculate the slope.
• slope = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1}}[/tex]
= [tex]\frac{3 - (-1)}{3 - 1}[/tex]
= [tex]\frac{4}{2}[/tex]
= 2
The intercept is the y-coordinate value of the point at which the line crosses ("intercepts") the y-axis. I've marked the intercept point with a green line.
• intercept = -3
The slope-intercept equation of a line takes the form:
y = mx + c
where 'm' is the slope and 'c' is the y-intercept.
Substituting the values we found into the equation gives us:
y = 2x + (-3)
∴ y = 2x - 3
Evaluate 5x³ + 2 for x = -1.
0 -3
04
06
0-7
Answer:
-3
Step-by-step explanation:
5x³ + 2 , when x = -1
5(-1)³ + 2
= -5 + 2
= -3
Answer:
-3
(first option listed)
Step-by-step explanation:
we know that 5x³ + 2 is our expression
we want to "evaluate" (find/solve for) when x = -1
we can do this by plugging in -1 to the expression:
5x³ + 2 {note, x = -1}
5(-1)³ + 2 {-1³ = -1}
5(-1) + 2
(-5) + 2
-5 + 2 = - 3
so, when x = -1, the statement is equivalent to -3
hope this helps! :)
OVER DUED HOMEWORK pls help!! T-T
Answer:
see explanation
Step-by-step explanation:
(9m + 4)² - (9m - 4)² ← expand both factors using FOIL
= 81m² + 72m + 16 - (81m² - 72m + 16) ← distribute parenthesis by - 1
= 81m² + 72m + 16 - 81m² + 72m - 16 ← collect like terms
= 144m
= 72(2m)
which is divisible by 72 for all m
Which of the following equations have no solutions? Choose all Answers that apply
Answer:
B & D
Step-by-step explanation:
-4x+5=-4x-4
-4x+4x=-4-5
0=-1
So, it has no solution.
-4x+5=-4x-5
-4x+4x=-5+5
0=0
So, it has no solution too.
2.865; cut it to the ten thousandths
Answer:
2.865.
Step-by-step explanation:
first get to know the place value of each digit is you move on you will realise that there's no digit for tens of thousands that means that you can add a zero which which will be counted as tens of thousands and since it's not past 5 it can't change the other number. I mean it can't add 1 to 5 so the number remains 2.865 good day.
Here are the first five terms of a number sequence .
10 16 22 28 34
The nth term of a sequence T is given by n squared-3
There are numbers that are terms in both the sequence S and the sequence T.
Find one of these numbers.
Answer:
t=4+6n
Step-by-step explanation:
a = 10
d=6
in general
tn = a + (n-1)*d
tn = 10 + (n-1)*6
tn = 10 + 6n - 6
tn = 4 + 6n
So if n = 5 then
t5= 4+6*5
t5= 4 + 30
t5 = 34 which agrees with your givens.
An equation that defines y as a function of x is given. a. solve for y in terms of x and
replace y with the function notation f(x) . b. find f(3).
6x-3y=2
Answer:
f(x) = 2x -2/3f(3) = 5 1/3Step-by-step explanation:
We solve an equation for a specific variable by using inverse operations to undo what is done to the variable. The resulting function is evaluated by substituting the given value for the variable.
__
a.We are given the equation ...
6x -3y = 2
Solving for y, we get ...
6x -2 = 3y . . . . . add 3y-2 to both sides
2x -2/3 = y . . . . . divide by 3
f(x) = 2x -2/3 . . . . write using functional notation
__
b.To find f(3), we use x=3 in the function.
f(3) = 2(3) -2/3 = 6 -2/3
f(3) = 5 1/3
Which set of coordinates, when paired with (-3, -2) and (-5, -2), result in a square?
(-5, -2) and (-3,-2)
(-3,0) and (0, -2)
(-3,0) and (-5, 0)
(0, -2) and (0, -3)
0000
Step-by-step explanation:
hope this help you the result is In square
2 more questions and 100 points answer asap!
Answer:
-6
Step-by-step explanation:
Well you just plug in the value 3 for x. This will give you the following equation: [tex]\frac{4(3+3)(3+1)}{(3+5)(3-5)}[/tex] which simplifies to [tex]\frac{4(6)(4)}{(8)(-2)}[/tex] which further simplifies to [tex]-\frac{96}{16}[/tex] which can further be simplified by dividing the two numbers and that results in -6
Answer:
A
Step-by-step explanation:
it really only means to replace every x by 3 and then simply calculate.
4(3+3)(3+1) / ((3+5)(3-5)) =
= 4×6×4 / (8×-2) = 96/-16 = -6
A triangle has two sides of lengths 10 and 14 what value could the length of the third side be
Answer:
17.20465053
Step-by-step explanation:
17.20465053 or
17.2 (to 1 dp)
Answer:
Third side has to be greater than 4 and less than 24.
Step-by-step explanation:
A triangle is valid if the sum of two sides is greater than the third side. That has to be the case for each of the sides. So let the sides of triangle be a, b and c.
a + b > c
a + c > b
b + c > a
Given:
a = 10
b = 14
We are looking for the third side, c.
First inequality:
a + b > c
10 + 14 > c
24 > c
This tells us that c has to be less than 24.
Second inequality:
a + c > b
c > b - a
c > 14 - 10
c > 4
This tells us that c has to be grater than 4.
Third inequality:
b + c > a
c > a - b
c > 10 - 14
c > -4
This tells us that c has to be greater than -4. But we also know that c has to be greater than 4, so we take 4 as the minimal value for c.
Final answer:
4 < c < 24
Third side has to be greater than 4 and less than 24.
Fill in the blank. In the triangle below, x= Round your answer to two
decimal places.
Answer:
The answer is 44.80 degrees
Step-by-step explanation:
First you want to find z
z = 180-(52+90)=38
and then try to determine which formula will try to give you x = Tan
Tan = Opposite/ Adjacent
Tan(38)=35/x
x=35/Tan(38)
x=44.80
Please explain how it is simplified. Thank you. No random or inexperienced mathematicians please
Answer:
[tex]\fbox {Work is attached below.} \downarrow[/tex]
Step-by-step explanation:
50 points PLEASEE I NEED THIS IN MINUTES sytem of functions thingg
Answer:
is b i think
hope my answer help you
3x[tex]3x^{2} +8x-10[/tex]
The solution to the quadratic equation 3x² + 8x - 10 by using the quadratic formula is x = 0.927 or -3.594
Solving quadratic equations.Quadratic equations are algebraic expressions that are represented in the power of the second degree. They usually take the form ax² + bx + c
From the given information, we are to solve the quadratic equation:
3x² + 8x - 10Using the quadratic formula:
[tex]\mathbf{=\dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}}[/tex]
where:
a = 3b = + 8c = - 10[tex]\mathbf{= \dfrac{-(8)) \pm \sqrt{(8)^2 - 4(3 \times (-10))}}{2(3)}}[/tex]
[tex]\mathbf{= \dfrac{-(8)) \pm \sqrt{64 -4 (-30)}}{6}}[/tex]
[tex]\mathbf{= \dfrac{-(8)) \pm \sqrt{64+120}}{6}}[/tex]
x = 0.927 or -3.594
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Find the equation of the line through point (8,−9) ( 8 , − 9 ) and perpendicular to 3+8=4 3 x + 8 y = 4 .
The equation of the line will be 3y + 8x = 165.
What is an equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Given that:-
Find the equation of the line through point (8,−9) ( 8, − 9 ) and perpendicular to 3 x + 8 y = 4.The given equation of the line is:-
3 x + 8 y = 4.
The slope of this line will be:-
3 x + 8 y = 4.
8y = -3x + 4
y = -3 /8x + ( 1 / 2)
y = mx + c
m = -3 / 8
Since the line is perpendicular to the other line 3x +8y = 4 so the slope will be inverse and negative for the line.
So the slope of the line will be -8 / 3
The equation of the line passing through the point will be given as:-
y - y 1 = m ( x- x1)
y - (-9) = ( -8 / 3) ( x - 8)
Y + 9 = ( -8 / 3 ) ( x -8 )
3 y = -8x + 165
3y + 8x = 165
Therefore the equation of the line will be 3y + 8x = 165.
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What is the constant in the expression?
Answer:
12
Step-by-step explanation:
A constant in an expression is the number that is not attached to any variable, and this includes the sign that comes with the number.
0.05m +12
In the expression above, m is the variable thus 0.05 is known as the coefficient of m instead of a constant. Coefficients are numbers that are multiplied to variables.
+12, which can simply be written as 12, is not multiplied to any variable and is thus the constant.
The value of the number 12 will not change no matter the value of m. The fact that the value stays the same makes it a constant.
Additional:
To learn more about constant, check out the following!
https://brainly.com/question/16517603Answer: 12 ✅
Step-by-step explanation:
Hii, I'd love to help you! (:
This problem is about finding the constant in the expression. This is fun! Let's start our search...
____________________________________________
Wait, how can we find a constant if we don't even know what it is?
No reason to panic!
ConstantsA constant is a number that is not added (or subtracted) from any variables (and a variable is a letter).
_____________________________________________
Ohh now it's easy as winking!
Because the only number in this particular expression that is not added to any letters at all is 12.
______________________________________________
Hope I helped! Best wishes.
Reach far. Aim high. Dream big.
[tex]\underbrace[/tex]
question attached below
If the first inequality is written as:
3x ≤ -12
Then the correct option is D.
If it is written as it is in the problem, then neither of the graphs is the correct option.
How to solve the compound inequality?
Here we have the inequalities:
3x ≤ 12
2x + 3 > 11
(notice that in all the options, the first inequality has a negative sign, while in the two given inequalities there are no negative sign. This means that you will never get the correct answer if you use the given information, as the problem is incorrectly written).
First, we need to isolate x on both inequalities, we will get:
3x ≤ 12
x ≤ 12/3
x ≤ 4
(As you can see, because we don't have the negative sign, this inequality is different to all the ones in the options).
And for the other:
2x + 3 > 11
2x > 11 - 3
x > 8/2
x > 4
So neither of the options is actually correct.
If we instead write the first inequality as:
3x ≤ -12
We would solve this as:
x ≤ -4
And in that case, our two inequalities are:
x ≤ -4
x > 4
So the correct graph is graph D.
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Solve the 2 problem s hurrryyyy
Answer:
3. n>or=0
5. n>or=0
Step-by-step explanation:
3. -1<or=2n+4-5
=-1<or=2n-1
=1-1<or=2n
=0<or=2n
=n>or=0.
5. 0<or=2n+3n
=0<or5n
=n>or=0
Fraction:
23
100
Decimal: 0.23
Percent: 30 %
Answer: Below is the correct data.
Fraction: [tex]\frac{23}{100}[/tex]
Decimal: 0.23
Percent: 23%
I hope this helps! Pls mark brainliest!! :)
Jun 21, 6:41:12 PM
What is the slope of a line perpendicular to the line whose equation is x - 3y = 27.
Answer: [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
perpendicular = opposite recipricol
-3 = [tex]\frac{1}{3}[/tex]
switch the sign and flip it (3/1 => 1/3)
What is the solution set of -|-x| = -12?
O no solution
O {-12}
O {12}
O {-12, 12}
Answer:
12 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
[tex] - | - x| = - 12 \\ - x = - 12 \\ x = 12 \: \: \: or \: \: \: x = - 12 \\ [/tex]
Solution :{-12,12} so it's D
Please give brainliest
The cost of the fruit is given by the function y = 3x + 1, where x is the number of fruits and y is the total cost. Find the range of the function.
The range of the given function will lie from ( -0.333,0) to ( 0,1).
What is the range?A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
Given that:-
The cost of the fruit is given by the function y = 3x + 1, where x is the number of fruits and y is the total cost.When we plot the graph of the function we will see that the straight line will cut the x-axis at point (-0.333 ) and the y-axis cut at ( 0,1 ) the points between the two points will be the solutions of the equation.
Therefore range of the given function will lie from ( -0.333,0) to ( 0,1).
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Answer:i think the answer is B
Step-by-step explanation:
Which inequality is shown on this graph?
The inequality which shows the graph is [tex]y\le\ 4x+2[/tex].
What is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
As, from the inequalities the graph is representing the fourth inequality.
The graph attached below show the graph corresponding to
[tex]y\le\ 4x+2[/tex] is shown.
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What is 35.43 rounded to the nearest hundredth’s
Answer:
it already is rounded up to the nearest hundredth
Step-by-step explanation:
A principal of 2000 is invested at 3.25% interest, compounded annually. How much will the investment be worth after 10 years?
Answer:
$2,753.79
Step-by-step explanation:
Compound Interest Formula
[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = $2,000r = 3.25% = 0.0325n = 1t = 10Substitute the given values into the formula and solve for A:
[tex]\implies \sf A=2000\left(1+\frac{0.0325}{1}\right)^{(1 \times 10)}[/tex]
[tex]\implies \sf A=2000(1.0325)^{10}[/tex]
[tex]\implies \sf A=2753.788608...[/tex]
Therefore, the value of the investment after 10 years will be $2,753.79 to the nearest cent.
which of the following functions shown in the table below are exponential functions?
The functions shown in the table below are exponential functions, will be g(x) and k(x). Then the correct option are B and D.
The complete question is attached below.
What is an exponent?Let a is the base and x is the power of the exponent function and b is the y-intercept.
The exponent is given as
y = aˣ + b
Checking for g(x), then we have
g(x) = 5ˣ
Then the function g(x) satisfies all the condition.
Checking for k(x), then we have
k(x) = 4⁻ˣ
Then the function k(x) satisfies all the condition.
Then the correct option are B and D.
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What is the solution to this rational equation? 24/x-8=4
Answer:
X = 1424/x-8 = 4
Multiplying both the sides with x-8
24 = (x-8)*4
24 = 4x - 32
24 + 32 = 4x
56 = 4x
56/4 = X
14= X
What should you do before creating a research question for a presentation? Check all that apply. create an outline to organize my ideas pick the right font for any text that is included review the topic and what the prompt asks for think of an argument or an opinion if necessary consider what I know and what I need to know choose visuals to include with the presentation
The things that are to be done before creating a research question for a presentation are: option C, D, and E.
What is a research question?A research question can be defined as an issue, event or subject of inquiry that a researcher is keenly and deeply interested to provide a response or an answer to, when conducting a research.
Basically, the things that are to be done before creating a research question for a presentation are:
Review the research topic and what the prompt asks for.Think of an argument or an opinion if necessary.Consider what I know and what I need to know.Learn more about research question here: brainly.com/question/10129052
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Answer:
C, D, E
Step-by-step explanation:
