Answer:
Below,
Step-by-step explanation:
g(2) = 3 * 2 + 6 = 12
Ken and Ivan had some sweets. After Ken gave away 5/7 of his sweet, he had 2/3 as many sweets as Ivan. Ivan then gave away 120 sweets and he had 1/4 as many sweets as Ken. How many sweets did each of them have at first?
Answer:
Ivan had 288 sweet while Ken had 672 sweets
Step-by-step explanation:
Let the number of sweets owned by Ken and Ivan be k and v respectively.
After Ken gave away 5/7 of his sweet, what he had left
= k - 5k/7
= 2k/7
he had 2/3 as many sweets as Ivan then
2k/7 = 2v/3
Divide both sides by 2 and cross multiply
7v = 3k
Ivan then gave away 120 sweets, Ivan would have
v - 120 = k/4
multiply both sides by 4
4v - 480 = k
7v = 3(4v - 480)
7v = 12v - 1440
12v - 7v = 1440
5v = 1440
v = 1440/5
= 288
7v = 3k
7 * 288 = 3k
k = 7 * 288/3
= 672
Help,please, thank you!
Answer:
x=64°
Step-by-step explanation:
x=180-90-26 (angles on a str line)
=64°
Answer:
64 is the answer to this question
Step-by-step explanation:
180÷2=90
90-26=64
maths anwsers for this
Answer:
the area would be 15 if you use are equals 1/2 base times height
Jim, Carla and Tomy are members of the same family. Carla is 5 years older than Jim. Tomy is 6 years older than Carla. The sum of their three ages is 31 years. How old is each one them?
We are given these three people age below:
Jim's ageCarla's ageTomy's ageWe define the age of Jim as any variable, because the problem doesn't give any specific age. I will define Jim's age as x.
Jim's age = xNext, Carla is 5 years older than Jim. That means if Carla is 5 years older, her age would be x+5.
Carla's age = x+5Then Tomy is 6 years older than Carla. That means the age would be 6+(x+5).
Tomy's age = 6+(x+5)The sum of their three ages is 31 years old. That means we add all these ages and equal to 31.
[tex] \large{x + x + 5 + 6 + x + 5 = 31}[/tex]
Combine like terms and solve for x.
[tex] \large{3x + 16 = 31} \\ \large{3x = 31 - 16} \\ \large{3x = 15} \\ \large{x = 5}[/tex]
Then we substitute the value of x in ages to find these three people ages.
Jim's age = x = 5Carla's age = x+5 = 5+5 = 10Tomy's age = 6+(x+5) = 6+(5+5) = 6+10 = 16.Answer
Jim's age = 5Carla's age = 10Tomy's age = 16Look at this diagram. What are x and y?
Answer:
The answer is x = 13 and y = 5.
Step-by-step explanation:
From the diagram, we know that there are two congruent legs of the triangle on the left (indicated by the lines). This means that two angles in this triangle measure 5x degrees. Because the third angle of the triangle is supplementary to the 130 degree angle, we know it must measure (180-130) or 50 degrees. We can apply this supplementary argument to the triangle on the right as well. Looking at both triangles, we can create the following equations using the idea that the interior angles of a triangle must add to 180 degrees total. This gives us the following equations:
5x + 5x + 50 = 180
10y + 5 + 6x - 3 + 50 = 180
Let's begin by solving the first equation, since it only contains one variable.
5x + 5x + 50 = 180
We can start by combining like terms on the left side of the equation.
10x + 50 = 180
Then, we can subtract 50 from both sides of the equation.
10x = 130
Next, we can divide both sides by 10.
x = 13
Now that we know the value for x, we can take our second equation (that came from the triangle on the right side) and solve for y.
10y + 5 + 6x - 3 + 50 = 180
Let's begin by simplifying the equation a little bit.
10y + 6x + 52 = 180
We can subtract 52 from both sides of the equation.
10y + 6x = 128
Now we can plug in the value for x we found above, x = 13, and simplify.
10y + 6(13) = 128
10y + 78 = 128
We should then subtract 78 from both sides of the equation.
10y = 50
Finally, we can divide both sides of the equation by 10.
y = 5
Therefore, the answer to the problem is x = 13 and y = 5.
Hope this helps!
please help me!!!!!!!!!
Answer:
10 * 5 / 2 = 25 cm
Step-by-step explanation:
Hope this helps
Answer:
25 cm² is the answer ..... my sister
see attachment :)) I've been stuck on this question forever... I do not understand how they got 2r^2-60r-45=0. I know the formula for the area of the circle is r^2 pi... but still... Can someone answer the question with explanation?
Answer:
2r² - 60r - 45 = 0
Step-by-step explanation:
Hang on this is going to be convoluted
------------------------------
Area of pond
a = πr²
Area of path
a = πr²/10
Combined Area
a = πr² + πr²/10
a = π(r² + r²/10)
---------------------------
The Combined Area can also be expressed as
a = π(r + 1.5)²
a = π(r² + 3r + 2.25)
-----------------------------
Set the areas equal
π(r² + r²/10) = π(r² + 3r + 2.25)
Divide both sides by π
r² + r²/10 = r² + 3r + 2.25
Subtract r² from both sides
r²/10 = 3r + 2.25
Multiply both sides by 20
2r² = 60r + 45
Subtract 60r + 45 from both sides
2r² - 60r - 45 = 0
I didn’t mean to click C but yea I need help
Answer:
C.
Step-by-step explanation:
It says from least to greatest. You start off looking at the whole numbers and 1 is the least. Your going to start at 1 2/5 (that rules off A and B). The next number you need to compare is 3/10 and 5/8. Since 5/8 is bigger than 3/10 the answer would be C.
Helppppp meeeeeeeeeeeee
Answer: B
Step-by-step explanation:
And also why do you have only 1 hour out of 16 to complete a test?
I have 2 more days to live what to do :(
Answer:
I would say, spend time with your family and friends and get ready for the time, I'm so sorry that this is happening to you and i hope you had an amazing life.
A - y = -2x + 40
B - y = 2x + 40
C y = 1/2x + 40
D - y=-1/2x +40
Answer:
c y=1/2x+40
because it's positive (up). /
If f(x)=3x^2 and g(x)=4x^3+1 what is the range of (f°g)(x)?
Someone pls help
Answer:
= 3*(4x^3+1)^2
= degree 6
Step-by-step explanation:
Which number is rational?
Answer:
Option D, [tex]\sqrt{16}[/tex], since the answer is 4 which is a rational number considering that it's a whole number
Hope this helps!
$1.50 is what fraction of $6.00?
Answer:
$1.50 is [tex]\frac{1}{4}[/tex] of $6.00
Step-by-step explanation:
In order to answers this, we should put $1.50 as the numerator, and $6.00 as the denominator, then simplify it and get the following...
[tex]\frac{1.50}{6.00} = \frac{1.50 / 1.50}{6.00/1.50} = \frac{1}{4}[/tex]
Can someone help please
Answer:
C and D
Step-by-step explanation:
You can just divided the numerator by the denominator and find which answers are the same as 9/10
I’ll mark brinaliest if the answe is correct. I need those two answers that are blank
Answer:
blue marbles: 4/15
red marbles: 8/15
Step-by-step explanation:
add all the marbles together then put how many marbles in front as the numerator.
Amber and Ruben play a game with one 6-sided die. Ruben gets a point if he rolls a prime number. Amber gets a point if she rolls a number that is a factor of 6. Is this game fair? Explain.
Answer:
Explain what?
Step-by-step explanation:
Help pleaseeeeeeeeeeeeeeeeeee
Answer:
9 and ,-7 , -4
...........................
Answer:
9 and ,-7 , -4
Step-by-step explanation:
Joseph claims that a scatterplot in which the y-values increase as the x-values increase must have a linear association. Amy claims that the scatterplot could have a nonlinear association. Which statement about their claims is true?
Joseph is correct because only a line will increase along the whole data set. The scatterplot will have a positive, linear association.
Joseph is correct because only a line will decrease along the whole data set. The scatterplot will have a negative, linear association.
Amy is correct because a nonlinear association could increase along the whole data set, while being steeper in some parts than others. The scatterplot could be linear or nonlinear.
Amy is correct because only a nonlinear association could increase along the whole data set. A line has the same slope at any point, but a curve can get steeper at different points.
Answer: Choice C
Amy is correct because a nonlinear association could increase along the whole data set, while being steeper in some parts than others. The scatterplot could be linear or nonlinear.
======================================================
Explanation:
Just because the data points trend upward (as you go from left to right), it does not mean the data is linearly associated.
Consider a parabola that goes uphill, or an exponential curve that does the same. Both are nonlinear. If we have points close to or on these nonlinear curves, then we consider the scatterplot to have nonlinear association.
Also, you could have points randomly scattered about that don't fit either of those two functions, or any elementary math function your teacher has discussed so far, and yet the points could trend upward. If the points are not close to the same straight line, then we don't have linear association.
-----------------
In short, if the points all fall on the same line or close to it, then we have linear association. Otherwise, we have nonlinear association of some kind.
Joseph's claim that an increasing trend is not enough evidence to conclude the scatterplot is linear or not.
Answer:
Joseph claims that a scatterplot in which the y-values increase as the x-values increase must have a linear association. Amy claims that the scatterplot could have a nonlinear association. Which statement about their claims is true?
A) Joseph is correct because only a line will increase along the whole data set. The scatterplot will have a positive, linear association.
B) Joseph is correct because only a line will decrease along the whole data set. The scatterplot will have a negative, linear association.
C) Amy is correct because a nonlinear association could increase along the whole data set, while being steeper in some parts than others. The scatter plot could be linear or nonlinear.
D) Amy is correct because only a nonlinear association could increase along the whole data set. A line has the same slope at any point, but a curve can get steeper at different points.
Step-by-step explanation:
I got it right on ed.
(its C/3 btw)
Right triangle XYZ has right angle Z. If the sin(X)=1213
, what is the cos(X)
Given:
Right triangle XYZ has right angle Z.
[tex]\sin(x)=\dfrac{12}{13}[/tex]
To find:
The value of [tex]\cos x[/tex].
Solution:
We know that,
[tex]\sin^2(x)+\cos^2(x)=1[/tex]
[tex]\cos^2(x)=1-\sin^2(x)[/tex]
[tex]\cos(x)=\pm\sqrt{1-\sin^2x}[/tex]
For a triangle, all trigonometric ratios are positive. So,
[tex]\cos(x)=\sqrt{1-\sin^2x}[/tex]
It is given that [tex]\sin(x)=\dfrac{12}{13}[/tex]. After substituting this value in the above equation, we get
[tex]\cos(x)=\sqrt{1-(\dfrac{12}{13})^2}[/tex]
[tex]\cos(x)=\sqrt{1-\dfrac{144}{169}}[/tex]
[tex]\cos(x)=\sqrt{\dfrac{169-144}{169}}[/tex]
[tex]\cos(x)=\sqrt{\dfrac{25}{169}}[/tex]
On further simplification, we get
[tex]\cos(x)=\dfrac{\sqrt{25}}{\sqrt{169}}[/tex]
[tex]\cos(x)=\dfrac{5}{13}[/tex]
Therefore, the required value is [tex]\cos(x)=\dfrac{5}{13}[/tex].
What is the equation of the translated function, g(x), if
f(x) = x2?
g(x) = (x + 5)2 + 2
g(x) = (x + 2)2 + 5
g(x) = (x – 2)2 + 5
g(x) = (x – 5)2 + 2
Answer:
D
Step-by-step explanation:
g(x) = (x+4)^2 +6
Rhombus JKLM is shown below. Find m∠KLM.
A.36°degree
B.38°degree
C,72°degree
D.76°degree
Answer:
Option D
Step-by-step explanation:
Properties of a rhombus,
1). Diagonals of a rhombus bisect the opposite angles.
2). Sum of adjacent two angles of a rhombus is 180°.
By property (1),
Diagonal JL will bisect the angles ∠MJK and ∠KLM.
Therefore, m∠KLM = 2(5x + 3)°
Similarly, diagonal KM will bisect the angles ∠JKL and JML.
Therefore, m∠JKL = 2(9x - 11)°
By property (2),
2(9x - 11)° + 2(5x + 3)° = 180°
9x - 11 + 5x + 3 = 90
14x - 8 = 90
14x = 98
x = 7
Since, m∠KLM = 2(5x + 3)°
= 2(5×7 + 3)°
= 76°
Therefore, Option D will be the answer.
consider the equation k over x equals 12 where k is any number between 20 and 65 and X is a positive integer what are the possible values for x
Susan and Katie are running an ultra marathon. Susan averages 5 miles per hour. Katie averages 5.2
miles per hour. If Susan gets a 45 minute head start, then exactly how many hours after Katie begins
running will she catch up to Susan?
Answer:
Katie will catch up to Susan after running 33.4 h.
Step-by-step explanation:
We can find the time that takes Katie to catch up to Susan by using the following equation:
[tex] x_{f_{k}} = x_{0_{k}} + v_{0_{k}}t + \frac{1}{2}at^{2} [/tex]
Where:
[tex] x_{f_{k}} [/tex]: is the final position of Katie
[tex] x_{0_{k}} [/tex]: is the initial position of Katie = 0
[tex] v_{0_{k}}[/tex]: is the initial speed of Katie = 5.2 mi/h
a: is the acceleration = 0 (she is moving at constant speed)
t: is the time
Since Katie will catch up to Susan, the final distance traveled by Katie will be equal to the final distance traveled by Susan.
[tex] x_{f_{s}} = x_{0_{s}} + v_{0_{s}}t + \frac{1}{2}at^{2} [/tex]
[tex] x_{0_{k}} + v_{0_{k}}t = x_{0_{s}} + v_{0_{s}}t [/tex]
Since Susan gets a 45 minutes head start, in that time she traveled the following distance:
[tex] d = \frac{v}{t} = \frac{5 mi/h}{45 min*\frac{1 h}{60 min}} = 6.67 mi [/tex]
So, this will be the initial position of Susan.
[tex] 0 + v_{0_{k}}t = x_{0_{s}} + v_{0_{s}}t [/tex]
Hence, the time will be:
[tex] 5.2t = 6.67 + 5t [/tex]
[tex] t = 33.4 h [/tex]
Therefore, Katie will catch up to Susan after running 33.4 h.
I hope it helps you!
Factories the following expression correctly 8x2 +4x
Answer:
4x(2x+1)
Step-by-step explanation:
8x^2+4x
x(8x+4)
4x(2x+1)
Answer:
4x(2x + 1)
Step-by-step explanation:
8x² + 4x
4(2x² + x)
4x(2x + 1)
2. Dakota's hourly salary is $12. If Dakota
normally works 9 hours, but today works for only
4 hours, then how much money will Dakota make
today?
Choose the attributes that are true for all quadrilaterals.
four angles
four right angles
four sides
opposite sides equal in length
opposite sides parallel
Answer:
four angles
four sides
Step-by-step explanation:
Find an equation of the line perpendicular to Y equals 3X -3 and passes through the point -3 and -1
Answer:
y = - [tex]\frac{1}{3}[/tex] x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 3 ← is in slope- intercept form
with slope m = 3
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{3}[/tex] , then
y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation
To find c substitute (- 3, - 1) into the partial equation
- 1 = 1 + c ⇒ c = - 1 - 1 = - 2
y = - [tex]\frac{1}{3}[/tex] x - 2 ← equation of perpendicular line
If you understand I will mark brainiest
Is Mark a masochist?
"Is Mark a Masochist?" is the 170th episode of Unus Annus, hosted by Markiplier and Ethan Nestor-Darling.
Answer:
170th episode of Unus Annus brought to us by Markiplier and Ethan Nestor-Darling
This is what i do when i have nothing better to do in life
Help me please! It’s timed
Answer:
x=36.08
Step-by-step explanation:
Given: From the given triangle DEF, ∠E=[tex]90^{0}[/tex]
DF=55
and DE= x
To find the value of x
According to trigonometry rule,
[tex]\frac{x}{55} =cos49^{0} \\x=55(cos 49^{0} )\\x=55(0.656)\\x=36.08[/tex]
Therefore, the value of x will be 36.08
