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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When water flow in two Hoses. The first is four times the second's speed, what is the ratio of the radius of the first to the second?
Answer:
4:1
Step-by-step explanation
this should be the answer from how u gave the question, also can i get brainliest ;)
Which graph shows the solution to the system of linear inequalities? Edge.
x + 3y > 6
y ≥ 2x + 4
A system of inequalities can be solved graphically.
See attachment for the required graph
The inequalities are given as
[tex]x + 3y > 6\\y \geq 2x + 4[/tex]
The options are not given.
So, I have attached the graph that illustrates the solution to the system of inequalities.
What is the inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
From the graph, we have the solutions as
[tex]x > -0.857[/tex]
[tex]y\geq 2.276[/tex]
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The base of the Hawaiian mountain Mauna Kea is about 5,853 meters below sea level. Its summit is 4,205 meters above sea level. What is the total height of Mauna Kea? The base of the Hawaiian mountain Mauna Kea is about 5,853 meters below sea level . Its summit is 4,205 meters above sea level . What is the total height of Mauna Kea ?
Answer:
100,58 meters
Step-by-step explanation:
You add 5,853 plus 4,205 to get 100,58 Meters. You add the number below and above sea water tog et the total height of the mountain.
Answer:
Mouna Kea is 10,058 meters high
Step-by-step explanation:
in order to calculate the whole height of the Mouna Kea you will need to add the base to the summit.
5,853 +4,205 = 10,058
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of function g if g(x) = f(x) − 11?
Using translation concepts, it is found that the graph of function g if g(x) = f(x) − 11 is a shift down of 11 units of function f(x).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, we have that g(x) = f(x) − 11 represents a shift down of 11 units of function f(x).
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Which of the following are solutions to the equation below?
Check all that apply.
(3x - 5)^2 = 19
Answer:
To solve the answer, you can do it in 2 ways:
1) you could take the square root on both sides and solve for x
OR
2)you could multiply 3x-5 times itself and subtract 19 on both sides and use the grouping or quadratic formula method to find x.
Hope it helps.
work out the size of angle x
Answer:
x =83
Step-by-step explanation:
An exterior angle of a triangle is equal to the sum of the two opposite interior angles.
x+43 = 126
Subtract 43 from each side
x = 126 -43
x =83
Let's take this problem step by step:
For the angle adjacent to the exterior angle of 126°:
⇒ exterior angle plus the that angle is equal to 180 degrees
⇒ since it is on a straight line
[tex]126 + that_.angle=180\\\rm \hookrightarrow that.angle=180-126\\\rm \hookrightarrow that.angle=54[/tex]
The sum of all the angles in a triangle is: 180°
[tex]that.angle+43+x=180\\\rm \hookrightarrow 54+43+x=180\\\rm \hookrightarrow 97+x=180\\\rm \hookrightarrowx=83[/tex]
The size of angle x is 83°
Answer: 83°
Hope that helps!
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What is the asymptote of the following function: Y = e^x-x
Answer:
y = -x
Step-by-step explanation:
Breaking down the equation
[tex]y=e^x-x[/tex] can be written as [tex]y=e^x + (-x)[/tex], making it more clear that this function is composed of two functions:
An exponential function, and a linear functionasymptotes of the parts
The regular exponential function normally has an asymptote at y=0, a horizontal line because as "x" gets more and more negative, e^(x) gets closer and closer to zero (see blue graph). This asymptotic behavior perhaps can be more easily understood by recognizing that [tex]e^{-x}[/tex] is equivalent to [tex]\dfrac{1}{e^x}[/tex], so that as the x values get more and more negative, it is effectively dividing 1 by a larger and larger number, thus getting closer and closer to zero.
In this situation, that exponential function is added to "-x", which is a linear function with a slope of negative 1.
As the left end of the exponential function gets closer and closer to zero, the exponential part contributes almost nothing to the sum, whereas as the "x" gets more and more negative, the linear function "-x" gets more and more positive (linearly). Since the exponential piece adds almost nothing to it (when moving to the left), the combined function is essentially "-x" (although it is ever so slightly greater than it, just as it was ever so slightly greater than zero) (see pink graph, with dashed asymptote).
Clarifications
To be clear, on the right side of the graph, the exponential part of the function completely overwhelms the linear piece, and the function behaves much more like an exponential function, nearly completely masking the behavior of the linear piece. Since an exponential function is unbounded, and the domain of both the exponential and linear functions are all real numbers, on the right side of the graph, there is no asymptotic behavior.
What is the line that has a slope of -2/3 and passes through point -3,-1?
Answer:
y = (- 2/3)x - 3
Step-by-step explanation:
y = mx + c
y = (- 2/3)x + c
Now let's substitute the values (-3,-1)- 1 = (- 2/3)(-3) + c
-1 = 2 + c
c = - 3
Therefore,
y = (-2/3)x - 3
Answer:
y = -2/3x - 3
Step-by-step explanation:
y = mx + b
y = y coordinate → given: - 1
m = slope → given: - 2/3
x = x coordinate → given: - 3
b = y intercept → need to find
y = -2/3x + b → -1 = -2/3(-3) + b
-1 = 2 + b
subtract 2 from both sides
-1 - 2 = 2 - 2 + b
-3 = b
y = -2/3x - 3
F(x)=-x^2+3 find(-2)
Answer:
F(-2) = 7
Step-by-step explanation:
Finding a specific point on a function given the x position can be done by substituting x in the function for the given number, then solving said function. The value on the right side of the function is the y position.
For this specific function [F(x) = x² + 3], substitute x for -2.
F(-2) = (2)² + 3
Next, solve the equation.
F(-2) = 4 + 3
F(-2) = 7
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Required answer: f(2) = -1
Detailed explanation:
To find f(-2), we will substitute -2 for x in the function:
[tex]\bf{f(x)=-x^2+3}[/tex]
[tex]\bf{f(-2)=-(-2)^2+3}[/tex]
[tex]\bf{f(-2)=-4+3}[/tex]
[tex]\bf{f(-2)=-1}[/tex]
[tex]\hrulefill[/tex]
Have a wonderful day!
Find the length of x. Assume the triangles are similar.
Triangles are similar and only differ in size meaning they are dilated
So first we have to find the scale factor of dilation (by how much the smaller triangle got bigger)
Find scale factor:
2.4a=4.8
z=2
Find x:
we multiply the original side of the small side with the scale factor of 2
2.8(2)=x
5.6=x
So, x=5.6
Wilma is 5 times as old as yvonne. in ten years, yvonne's age will be a third of wilma's age. how old are they now?
Using a system of equations, it is found that Wilma is 50 years old and Yvonne is 10 years old.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
Variable x: Wilma's age.Variable y: Yvonne's age.Wilma is 5 times as old as yvonne, hence:
x = 5y.
In ten years, yvonne's age will be a third of wilma's age, hence:
[tex]y + 10 = \frac{1}{3}(x + 10)[/tex]
Since x = 5y:
[tex]y + 10 = \frac{1}{3}(x + 10)[/tex]
[tex]y + 10 = \frac{1}{3}(5y + 10)[/tex]
3y + 30 = 5y + 10
2y = 20.
y = 10.
Then:
x = 5y = 5 x 10 = 50.
Wilma is 50 years old and Yvonne is 10 years old.
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Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3
Help me please
Answer:
y-2=1/3(x-3)
Step-by-step explanation:
please mark me as brainlest
Answer: y-2=1/3(x-3), which is Choice [B]
Step-by-step explanation:
Hii, do you need to know the answer to your question? No problem! (:
First, do you remember what the "point-slope" formula is? It's
y-y1=m(x-x1)
Now it's just a matter of sticking in the known values.
y-2=1/3(x-3)
Voila! There's our solution, cheers! (:
--
Hope that this helped! Best wishes.
[tex]\bigstar\underbrace[/tex]
Absolute value of (-1, -3/7)
The absolute value of -1 is 1 and -3/7 is 3/7.
We have given that,
(-1, -3/7)
We have to determine the absolute value of (-1, -3/7)
What is the absolute value?The absolute value or modulus of a real number x denoted |x|, is the non-negative value of x without regard to its sign. Namely, [tex]{\displaystyle |x|=x}[/tex]if x is a positive number, and [tex]{\displaystyle |x|=-x}[/tex] if x is negative, and[tex]{\displaystyle |0|=0}[/tex].
Therefore the absolute value of -1 is 1 and -3/7 is 3/7.
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What is the value of k?
Answer:
The value of K in free space is 9 × 109
Step-by-step explanation:
which expressions are equivalent ??
Answer:
[tex]\huge\boxed{E.\ 5^{4+x}}[/tex]
Step-by-step explanation:
Use:
[tex]a^n\cdot a^m=a^{n+m}[/tex]
[tex]5^4\cdot5^x=5^{4+x}[/tex]
please help i just started summer school online Part F
Several minutes later, Raul decides to measure the water temperature again. He finds that the temperature changed by -0.6°F. What is the temperature of the water now? Show your work.
Answer:
Step-by-step explanation:
basically all you do is
Which model best represents the situation
Answer:
A
Step-by-step explanation:
she worked a total of 34 hours , then
x + y = 34
earnings are $10 per hour babysitting , that is 10x for x hours
$15 per hour for yardwork, that is 15y for y hours
she made a total of $410 , then
10x + 15y = 410
system of equations is
x + y = 34
10x + 15y = 410
simplify 6e × 2f please help
Select the correct answer.
A graph plots two points at (negative 7, 8) and (negative 2, negative 9) on the x y coordinate plane. A diagonal curve connects both points.
What is the range of the function shown on the graph above?
A.
B.
C.
D.
The range of the function shown on the graph below is equal to 0 ≤ y ≤ 7.
What is a range?A range refers to the set of all real numbers that connects with the elements of a domain. This ultimately implies that, a range is the solution set on the y-axis.
How to determine the range?Based on the graph of the two points, we can logically deduce the following information:
The least value on the y-axis is 0.The greatest value on the y-axis is 7.The endpoints on the y-axis are 0 and 7.Therefore, the range of the function shown on the graph below is equal to 0 ≤ y ≤ 7.
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Ria left home at 13:00
She drove for 30 minutes at a constant speed of 40 mph.
She then stopped for a break.
Ria then drove to the hospital at a constant speed.
She was at the hospital for 30 minutes.
She then drove home at a constant speed of 32 mph.
Show that she does not arrive home before 16:30
Ria will not arrive before half past four because in total the activities that she did will take her at leat three hours and forty-five minutes.
How to know the time Rita spent in each activity/movement?The time can be determined by using the graph. In the graph, the time is represented by small squares. Each of this squares will be equivalent to 15 minutes.
You can infer this because Rita first drove for 30 minutes and in the graph the line goes from 0 in the x axis to two squares to the right (30/2 = 15 minutes.)
How much time did Rita spent?First movement: 30 minutesBreak: 30 minutes (2 more squares)Drive to the hospital: 60 minutesTime at the hospital: 30 minutes Drive back home: 75 minutes(Total distance 40 miles/ 32 miles per hour = 1.25 hours)Total: 225 minutes or 3 hours and 45 minutesIf she started this activities at 13:00 so she will go back home at 4:45.
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Two circles are concentric if they have the same center.
On a coordinate plane, a circle has center (4, 6) and has a radius of 2 units.
Which equation represents a circle that is concentric with the circle shown but has a radius that is twice as large?
(x – 4)2 + (y – 6)2 = 4
(x – 4)2 + (y – 6)2 = 16
(x – 6)2 + (y – 4)2 = 16
(x – 6)2 + (y – 4)2 = 4
The equation of the circle is (x - 4)² + (y - 6)² = 16. The correct option is the second option (x - 4)² + (y - 6)² = 16
Equation of a circleFrom the question, we are to determine the equation of the circle
The equation of circle is given by
(x - h)² + (y - k)² = r²
Where (h, k) is the center
and r is the radius
From the given information,
The two circles are concentric
∴ (h , k) = (4, 6)
But the other circle has a radius that is twice as large
∴ r = 2 × 2
r = 4
Thus,
The equation of the circle becomes
(x - 4)² + (y - 6)² = 4²
(x - 4)² + (y - 6)² = 16
Hence, the equation which represents a circle that is concentric with the circle shown but has a radius that is twice as large is (x - 4)² + (y - 6)² = 16. The correct option is the second option (x - 4)² + (y - 6)² = 16
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The table shows the probability of how a certain score will
compare to a listed score on a popular video game. Use the
probability distribution to find the variance, o².
The variance of the probability distribution is 400
The Variables of X and their Probability Distribution.
To find Variance, first we should find out Mean and then Variance
The expected value of a discrete random variable X, symbolized as E(X), is often referred to as the long-term average or mean (symbolized as μ)
The variance of a probability distribution is symbolized as σ2. To find the variance σ2 of a discrete probability distribution, find each deviation from its expected value, square it, multiply it by its probability, and add the products.
Step – 1: Calculation of Mean Step – 2: Calculation of Standard Deviation= σ2=∑(x−μ)²P(x)
Mean = X * P(X) Variance = Sum of (X – Mean)²*P(X)
X P(X) X*P(X)
-50 0.029 -1.45
-30 0.121 -3.63
-10 0.210 -2.1
10 0.485 4.85
30 0.145 4.35
50 0.010 0.5
Mean 2.52
X P(X) X - Mean (X – Mean)² (X – Mean)²*P(X)
-50 0.029 -52.52 2758.35 79.99216
-30 0.121 -32.52 1057.55 127.9636
-10 0.210 -12.52 156.7504 32.91758
10 0.485 7.48 55.950 27.13594
30 0.145 27.48 755.1504 109.4968
50 0.019 47.48 2254.35 22.5435
Variance=400.00
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f (x) = √x + 9 what is the domain?
Answer:
Step-by-step explanation:
I'm just confused. I know we've learnt this before but I just forget. I'm doing one of the review sheets before our exam tomorrow. If you could help me out that would be great
Answer:
b. y= 4x-34.
Step-by-step explanation:
We can use the information in the problem to make an equation in slope-intercept form (y=mx+b).
Steepness typically means the slope of the graph, thus m=4.
This means we can automatically cross out "a" and "c", which leaves us with "b" and "d" as possible answers.
Next, I will plug in the given point (8, -2) into "b" and "d".
b. y=4x-34
-2=4(8)-34
-2=32-34
d. y=4x+34
-2=4(8)+34
-2 does not equal 66
Thus, the answer is b. y= 4x-34.
c) How long does he travel at 30 km/h, if he travels 1.2 h at 20 km/h?
Answer:
1.8 hrs
Step-by-step explanation:
1.2 hr = 20 km/hr
A hr = 30 km/hr
(cross multiply)
30 x 1.2 = 20 x A
(30 x 1.2) / 20 = A
on simplifying...
1.8 = A
Therefore, it takes 1.8 hrs to travel 30 km/hr
[this is totally my method]
In a spelling bee $50\%$ of the students were eliminated after the first round. Only $\frac{1}{3}$ of the remaining students were still in the contest after the second round. If 24 students were still in the contest after the second round, how many students began the contest
There were 144 students when the contest began
What is Equation ?Equation is formed when an algebraic expression is equated by a constant or another algebraic expression.
On the basis of given data :
Let the total number of students are x
50% of the students are eliminated after the first round
the remaining students are 0.5x
After the second round = (1/3) * 0.5 x were remaining
and
(1/3) * 0.5 x = 24
then solving this equation will give the total number of students
0.5x = 24 * 3
x = 24*3 /0.5 = 144
Therefore there were 144 students when the contest began
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Please find x! These are probably simple! ASAP pls! 2 problems!
1) 3 + x + (-7) ; x = 6
2) x + (-5) + 5; x = -3
17 points:)
The numeric values of the given expressions are given as follows:
1) 2.
2) -3.
How to find the numeric value of an expression?We find the numeric value of an expression replacing all instances of x by the number.
The expression 1 is:
3 + x + (-7) = 3 + x - 7 = x - 4.
When x = 6, the value is:
x - 4 = 6 - 4 = 2.
The expression 2 is:
x + (-5) + 5 = x - 5 + 5 = x.
Hence, when x = -3, the value is:
x = -3.
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An oatmeal container has a volume of 269 cubic inches. If the radius of the container is 3 cm, which statement below describes how to calculate the height?
The height of the volume of the container is 93.898cm.
We have given that,
An oatmeal container has a volume of 269 cubic inches.
Volume=269 cubic inches.
Radius=3cm
What is the formula for volume?
[tex]V=\pi r^2h[/tex]
[tex]269=\pi (3)^2h\\\269=9\pi h\\\h=\frac{269\pi }{9}\h=93.89871[/tex]
The height of the volume of the container is 93.898cm.
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Es para hoy ayúdenme por favor
Answer:
Con qué necesitas ayuda?
Step-by-step explanation:
Please hurry
How could you solve this problem?
2 × 3 × 4
Check all that are true.
Multiply 3 × 4 to get 12 and then multiply 12 × 6.
Multiply 2 × 3 to get 6 and then multiply 6 × 12.
Multiply 3 × 4 to get 12 and then multiply 12 × 2.
Multiply 2 × 3 to get 6 and then multiply 6 × 4.
Multiply 2 × 3 to get 6, multiply 3 × 4 to get 12, and then multiply 6 × 12.
Answer:
multiply 2×3 to get 6and then multiply 6×4 to get 24
Answer:
Multiply 3 × 4 to get 12 and then multiply 12 × 2.
Multiply 2 × 3 to get 6 and then multiply 6 × 4.
Explanation:
Original Answer : 2 × 3 × 4 = 24
1) 12 × 6 = 72
2) 6 × 12 = 72
3) 12 × 2 = 24
4) 6 × 4 = 24
5) 6 × 12 = 72
Hence, only option 3 and 4 is correct.