Answer:
y= -4
Step-by-step explanation:
x+y=42. We know that x plus y equals 42.
x=2y . We also know that x equals twice y.
2y+y=42. Since we know that x=2y, we're going to replace x with 2y from the original equation, simplified would be 3y=42.
y=14. 3y=42 simplified is y=14, this is because we divided both sides by 3 (since 3 and 42 are both divisible by 3) (btw divisible by 3 simply means that it can be divided by 3)
x+14=42. Now that we know what y equals, let's replace y with 14 from the original equation.
x=28. Now that we know that x=28 and y=14, we know that y is always x/2.
When x=-8, we divide it by 2 and get, -4.
Not absolutely positive as this was all mental math, but hope this helps! :)
The value of the variable y at x = -8, will be negative 49.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
The numbers x and y are inversely proportional. Then we have
y ∝ 1/x
y = k/x ...1
When the sum of x and y is 42. Then the equation will be
x + y = 42 ...2
x is twice y. Then the equation will be
x = 2y ...3
From equations 2 and 3, we have
2y + y = 42
3y = 42
y = 14
Then the value of x will be
x = 2(14)
x = 28
Then the value of k will be
14 = k / 28
k = 392
Then the equation will be
y = 392 / x
Then the value of the variable y at x = -8, will be
y = 392 / (-8)
y = -49
Thus, the value of the variable y at x = -8, will be negative 49.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ5
Elsa used the multiplication table below to write ratios that are equivalent to StartFraction 12 Over 4 EndFraction.
A multiplication table.
One number is missing from the equivalent ratio, as shown.
StartFraction blank Over 12 EndFraction
What is the missing number?
6
18
24
36
Answer:18
Step-by-step explanation:because it was in the same column
Answer:
Its actually 24 because 4 times 6 is 24 and 12 times 2 is 24
A store sells an outfit that consists of a shirt, a tie, and a pair of pants. The store purchases the shirt for $18, the tie for $12, and the pants for $35. The percent of markup is 22%. Find the selling price of the outfit.
Answer:The selling price of the outfit is $79.3
Step-by-step explanation:
18 + 12 + 35 = $65
65* 22% = 14.3
14.3 + 65 = $79.3
or
100% + 22% = 122%
122% of 65
1.22 * 65 = 79.3
Anyone know the answer ASAP please
Answer:
x= -9/4 or -3
second one is x=5/6 or -8
Answer:
see explanation
Step-by-step explanation:
Given
4x² + 21x + 27 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 4 × 27 = 108 and sum = 21
The factors are 12 and 9
Use the factors to split the x- term
4x² + 12x + 9x + 27 = 0 ( factor the first/second and third/fourth terms )
4x(x + 3) + 9(x + 3) = 0 ← factor out (x + 3) from each term
(x + 3)(4x + 9) = 0
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
4x + 9 = 0 ⇒ 4x = - 9 ⇒ x = - 2.25
--------------------------------------------------------------------
Following the same method as the previous question
Given
6x² + 43x - 40 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term
product = 6 × - 40 = - 240 and sum = + 43
The factors are + 48 and - 5, thus
6x² + 48x - 5x - 40 = 0
6x(x + 8) - 5(x + 8) = 0
(x + 8)(6x - 5) = 0
x + 8 = 0 ⇒ x = - 8
6x - 5 = 0 ⇒ 6x = 5 ⇒ x = [tex]\frac{5}{6}[/tex]
PLEASE HELP!! In Moose, Wyoming, the snow level is modeled by the function y = 2x + 14. Here, y is the amount of snow in inches, and x is the number of hours after midnight (x = 0). 8. What is the meaning of the y-intercept in terms of the problem? 9. What is the meaning of the slope in terms of the problem? 10. What was the snow level at 8 a.m., when x = 8?
Answer:
8. The y-intercept represents the 14 inches of snow 0 hours after midnight.
9. The slope indicates that the snow level increases 2 inches for every hour that passes after midnight.
10. 30 inches
Step-by-step explanation:
8. given in the text
9. given in the text
10.
[tex]y=2x+14[/tex]
[tex]y=2(8)+14[/tex]
[tex]y=30[/tex]
You weigh six packages and find the weights to be 20, 12, 52, 16, 48, and 44 ounces. If you include a package that weighs 60 ounces, which will increase more, the median or the mean?
Answer:
median
Step-by-step explanation:
The first step is to sort the numbers from largest to smallest (you could go the other way as well).
60 52 48 44 20 16 12
The median is the middle number 44 in this case. The median has 3 numbers on its left and 3 on its right (in this case). 44 has 60 52 48 or its left and 20 16 and 12 on its right.
The mean is the average. We'll call it the new average
The mean is 60 + 52 + 48 + 44 + 20 + 16 + 12 = 252
The new mean is 252 / 7 = 36
=====================
The old median is the average between the middle 2 numbers (before you added 60 you had 6 numbers)
52 + 48 + 44 + 20 + 16 + 12 = the average of 44 + 20 which 64/2 = 32
The old mean was (52 + 48 + 44 + 20 + 16 + 12)/6 = 32.
=======================
The median increased from 44 to 32 = 12
The mean went from 32 to 36 which is 4
Answer: the median increased more
The roots of a certain quadratic equation is 1 and 2/3. Determine the equation
Answer:3x^2-5x+2=0
Step-by-step explanation:
Format of a quadratic equation= ax^2 +bx+c
Let x=1 and 2/3
When x=1
x-1=0.......(1)
When x=2/3
x-2/3=0.........(2)
Compare the equations
(x-1)(x-2/3)=0
x^2-2/3x-x+2/3=0
x^2-5/3x+2/3=0
Multiply all terms by 3
3x^2-5x+2=0
factories fully the flowing
[tex]x^{2} +3x \\2x^{2} -8x \\6x+9x^{2} \\12x^{3} -4x^{2}[/tex]
Answer:
Given below:)
Step-by-step explanation:
1) (x)(x+3)
2) (2x)(x-4)
3) (3x)(2+3x)
4) (4x^2)(3x+1)
I have factorised all of them by taking the common factor out of each
f(x) = x + 2
g(x) = x - 4
(f g)(x) =
0 2x- 2
O x² – 8
o x² – 2x- 8
o x² + 2x - 8
Answer:
(fg)(x) = x^2 -2x -8
Step-by-step explanation:
(fg)(x) = f(x)·g(x) = (x +2)(x -4)
= x(x -4) +2(x -4) = x^2 -4x +2x -8
= x^2 -2x -8 . . . . matches the 3rd choice
A college's lacrosse team will play 22 games next spring. Each game can result in one of 2 outcomes: a win or a loss. Find the total
possible number of outcomes for the season record.
Answer: 44 possible outcomes
Step-by-step explanation:
Multiply the number of games by the number of outcomes to find how many possibilities.
22 games * 2 outcomes = 44 possibilities
Interpreting the situation, it is found that there are 23 possible outcomes for the season record.
For each game, there are two possible outcomes.
Hence, if the team plays 1 game, there are two possible outcomes, 0 wins or 1 win.If the team plays 2 games, there are three possible outcomes, 0 wins, 1 win or 2 wins.The same is valid for 3 games, the team can win 0, 1, 2 or 3 games.Hence, for n games, there are n+1 outcomes.In this problem, there are 22 games, hence 23 possible outcomes.
A similar problem is given at https://brainly.com/question/18599661
write 10 examples of cube that you see in your daily life
Answer:
Step-by-step explanation:
1. Ice Cubes
2. Dice
3. Sugar Cubes
5. Old Iron Lockers
6. Gift Box
7. Cube Building Blocks
I need the answer for this: 7y+4/y+2=4/3
Answer:
Juanita dissolves 46 g of MgBr2 (molar mass: 184.11 g/mol) in 0.5 kg of distilled water. What is the molality of the solution?
Jim decides to decorate a wall of his house by randomly tossing paint onto the wall. The wall is rectangular and measures 8 feet by 8 feet. The wall has a light switch panel that measures 12 inches by 6 inches. If it is equally likely that tossed paint will land anywhere on the wall, what is the probability that Jim will hit the light switch with one random toss of paint?
Round your answer to the nearest whole percent.
A. 89%
B. 64%
C. 9%
D. 1%
Answer:
i belive it is D 1%
Step-by-step explanation:
I think the answer is D) 1% I am sorry if it is wrong and plz let me know if i am wrong
What is the value of the expression below?
7-2-4.5x3-8
Answer:
6.5
Step-by-step explanation:
7-2=5-4.5=0.5
0.5ₓ3=1.5
8-1.5=6.5
Which expression is equivalent to (StartFraction 4 m n Over m Superscript negative 2 Baseline n Superscript 6 Baseline EndFraction) Superscript negative 2? Assume m not-equals 0, n not-equals 0. StartFraction n Superscript 6 Baseline Over 16 m Superscript 8 Baseline EndFraction StartFraction n Superscript 10 Baseline Over 16 m Superscript 6 Baseline EndFraction StartFraction n Superscript 10 Baseline Over 8 m Superscript 8 Baseline EndFraction StartFraction 4 m cubed Over n Superscript 8 Baseline EndFraction
Question
Which expression is equivalent to [tex]\frac{4mn}{m^{-2}n^6}[/tex]. Assuming [tex]m \neq 0; n\neq 0[/tex]
Answer:
[tex]\frac{4m^3}{n^5}[/tex]
Step-by-step explanation:
Given
[tex]\frac{4mn}{m^{-2}n^6}[/tex]
Required:
Simplify
To simplify this, we start by splitting each individual function
[tex]\frac{4mn}{m^{-2}n^6} = \frac{4m}{m^{-2}} * \frac{n}{n^6}[/tex]
From laws of indices
[tex]\frac{a^x}{a^y} = a^{x-y}[/tex]
SO, the above expression can also be expressed the same way
[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{1-(-2)} * n^{1-6}[/tex]
[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{1+2)} * n^{1-6}[/tex]
[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{3} * n^{-5}[/tex]
From laws of indices,
[tex]a^{-x} = \frac{1}{a^x}[/tex]
So,
[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{3} * \frac{1}{n^5}[/tex]
[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = \frac{4m^3}{n^5}[/tex]
Hence, [tex]\frac{4mn}{m^{-2}n^6}[/tex] is equivalent to [tex]\frac{4m^3}{n^5}[/tex]
Answer:
A
Step-by-step explanation:EDGE (not sure if im right let me know)
Encontre o erro em cada uma das resoluções abaixo.
Answer:
I will answer this in English.
a) here you written 208 = (2^6)*3, while in the table you can see 5 times the number 2 and 2 times the number 3, this means that:
208 = 2^5*3^2
then we would have:
√208 = √(2^5*3^2) = 3*2*√2 = 6*√2
b) This time is correct that:
1568 = 2^5*7^2
but the simplification in the square root is not correct. (√(2^5) is not equal to 2^2)
as √(2^5*7^2) = √(2*2^4*7^2) = 2^2*7*√2 = 4*7*√2 = 28*√2
PLEASE HELP WILL MARK BRAINLKIEST!!!!!!!!
Answer:
a) -x(4[tex]x^{2}[/tex] -x +1)
b) 4[tex]x^{3}[/tex] (x-1)
c) -12[tex]x^{2}[/tex] - 3x + 3
Step-by-step explanation:
Most of it is really just a matter of substituting expressions in. here's how i did it:
f(x) = x-1
g(x) = 4[tex]x^{2}[/tex]
a) (f-g) x [tex]x[/tex]
= (x - 1- 4[tex]x^{2}[/tex]) x [tex]x[/tex]
= x(- 4[tex]x^{2}[/tex]+x-1)
= -x (4[tex]x^{2}[/tex] - x + 1)
*you can take the negative out of the bracket or not, i did though - just makes it neater. They are both right.
b) (fxg) x [tex]x[/tex]
= (4[tex]x^{2}[/tex](x-1)) x [tex]x[/tex]
= 4[tex]x^{3}[/tex] (x-1)
*just bring the x to the front and times it with the 4[tex]x^{2}[/tex]
c) (f+g) x -3
= (x - 1 + 4[tex]x^{2}[/tex]) x -3
= -3 (4[tex]x^{2}[/tex] + x -1)
= -12[tex]x^{2}[/tex] - 3x + 3
*just bring the -3 to the front and times it with the whole bracket to expand since it said evaluate
Hope that helped : )
Study the coordinate plane below. A certain polygon has its vertices at the following points: (1, 1), (1, 8), (4, 7), and (4, 3) What is the best description of this polygon? A. rectangle B. pentagon C. trapezoid D. parallelogram
Answer:
pentegon
Step-by-step explanation:
The certain polygon has its vertices at the following points: (1, 1), (1, 8), (4, 7), and (4, 3) is a trapezoid option (C) is correct.
What is a regular polygon?A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.
We have coordinates of a polygon, the coordinate plane:
points: (1, 1), (1, 8), (4, 7), and (4, 3)
After, connecting the points to each other.
We will see, after joining the points, the polygon will be a trapezoid.
Thus, the certain polygon has its vertices at the following points: (1, 1), (1, 8), (4, 7), and (4, 3) is a trapezoid option (C) is correct.
Learn more about the regular polygon here:
brainly.com/question/11810316
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Which is a property of an angle
Answer:
it had made of two lines including an angle...
find the value of each trigonometric ratio part 3
Answer:
hope this helps you
|6-27| how the answer this question
Answer:
First notice that they’re asking for the absolute value of the equation.
The absolute value is how far that number is from 0.
Basically it’s the number without a negative sign.
ok so 6-27 = -21
The product for 6-27 (21) is 21 spaces away from 0.
|6-27| = 21
21 is the answer to your question.
Hope this helped and pls mark me brainliest if it did :)
In right triangle ABC, ∠A is a right angle and sinC=15/17. What is the ratio cos C?
Answer:
8/17Step-by-step explanation:
From the triangle, given sin C=15/17 we will use the trigonometry identity to get the ratio of cosC. Using the SOH CAH TOA identity;
sinC = opp/hyp = 15/17
opposite = 15
hypotenuse = 17
According to pythagoras theorem;
hyp² = opp²+adj²
17² = 15² + adj²
adj²= 17²-15²
adj = √64
adj = 8
Since cosC = adj/hyp
cosC = 8/17
The ratio of cos is 8/17
Claire is on a business trip. She’ll be traveling from Liverpool, England, to Melbourne, Australia. The latitude value of Liverpool is 53.41 degrees, and the longitude value is -2.99 degrees. The latitude value of Melbourne is -37.81 degrees, and the longitude value is 144.96 degrees. The two cities are degrees apart in latitude. The two cities are degrees apart in longitude.
Answer:
The change in latitude, Δφ, from Liverpool to Melbourne is 91.22° south
The change in longitude, Δλ, from Liverpool to Melbourne is 147.95° East
Step-by-step explanation:
The parameters given are;
The latitude of Liverpool is 53.41°
The longitude of Liverpool is -2.99°
The latitude of Melbourne is -37.81°
The longitude of Melbourne is 144.96°
The change in latitude from Liverpool to Melbourne = Δφ
Δφ = 53.41° - (-37.81°) = 53.41° + 37.81° = 91.22°
The change in latitude, Δφ, from Liverpool to Melbourne = 91.22° south
The change in longitude from Liverpool to Melbourne = Δλ
Δλ = -2.99° - 144.96° = -147.95°
Therefore the change in longitude from Liverpool to Melbourne = 147.95° East.
Answer:
the difference in latitude is 91.22°
the difference in longitude is 147.95°
Explanation:
For Liverpool, London. The latitude is 53.41°, longitude is -2.99°
For Melbourne, Australia. The latitude is -37.81°, longitude is 144.96°
The negative or positive magnitude of their values shows their position on either sides of the origin of the latitude (equator) and the origin of the longitude (prime meridian).
The latitude measures the relative position of a point, north or south of the equator (latitude 0°). The longitude measures the relative position, east or west of the prime meridian (longitude 0°)
the difference in latitude is 53.41° - (-37.81°) = 53.41° + 37.81° = 91.22°
the difference in longitude = 144.96° - (-2.99°) = 144.96 + 2.99 = 147.95°
What is the smallest number that can be added to 2018·2019·2020 so that the result of the addition is a perfect cube? Please answer soon!
Answer:
[tex]802[/tex]
Step-by-step explanation:
[tex]18^3=5832[/tex]
[tex]19^3=6859[/tex]
[tex]2018+2019+2020=6057[/tex]
[tex]6859-6057=802[/tex]
Check.
[tex]6057+802=6859[/tex]
[tex]\sqrt[3]{6859} =19[/tex]
Answer:
2019.
Step-by-step explanation:
Let x = 2018, then x + 1 = 2019 and x + 2 = 2020.
x(x + 1)(x + 2)
= x(x^2 + 3x + 2)
= x^3 + 3x^2 + 2x ................(A)
Now the perfect cube of x + 1 is:
(x + 1)^3 = x^3 + 3x^2 + 3x + 1
If we add x + 1 to (A) we get this expression so the answer is x + 1
= 2019.
Factor each polynomial using the difference of two squares patt
square trinomial pattern.
x² – 9
Answer:
(x+3)(x-3)
Step-by-step explanation:
It is a difference of squares so it is sqrt of x^2 gives x and sqrt of 9 gives +3, -3. So we get (x+3)(x-3).
what are solutions for |x+4|=3x-5
Answer:
Step-by-step explanation:
Angela just learned the processes of using the distributive property. She learned that when a number is outside the parentheses, it means to that number by everything inside the parentheses.
Answer:
Angela should multiply the outside number by the numbers in the parenthesis.
Step-by-step explanation:
The rule of distributive property:
[tex]a(b+c)=ab+ac[/tex]
You have to multiply the outside number by numbers in the parentheses.
Example:
[tex]3(2+4)\\\text {Distribute 3 into the parenthesis:}\\\left \{ {{3*2=6} \atop {3*4=12}} \right.\\ \text {So:}\\\boxed{3(2+4)=6+12}[/tex]
Answer:
its muiltiply
Step-by-step explanation:
i promise
I need help please help me
Answer:
SSS
Step-by-step explanation:
ST = YA, SY = TA Given
AS = SA Reflexive property
ΔSTA ≅ ΔAYS SSS
Can someone help me.???
Answer:
1) x =4/3 = 1 1/3
2) y = 10/3 = 3 1/3
3) y = 8
Step-by-step explanation:
y = x + 2/3
1) 2 = x+ 2/3
x = 2 - 2/3 =-6/3 -2/3
x = 4/3 = 1 1/3
2) 8/3 + 2/3 = y
y = 10/3 = 3 1/3
3) 22/3 +2/3 =y
y = 24/3 = 8
Answer:
y=z+2/3
y=2 => z=2-2/3= 4/3
z=8/3 => y= 8/3+2/3= 10/3
z=22/3 => y=22/3+2/3= 24/3= 8
possible answer
5
-5
2.8
-2.8
(2x -2)^-3
can anyone help me with this?
Answer: See below
Step-by-step explanation:
When you see that something is to the power of a negative number, it is another way of saying 1 over.
[tex](2x-2)^-^3=\frac{1}{(2x-2)^3} =\frac{1}{(2x-2)(4x^2-8x+4)} =\frac{1}{8x^3-8x^2+8x-8}[/tex]
