Answer:
[tex]y=-\frac{k}{-4+k}; k \neq 4[/tex]
Step-by-step explanation:
2y + k = 6y - ky; solve for y
2y = 6y - ky - k (Subtraction Property of Equality)
2y - (6y - ky) = 6y - ky - k - (6y - ky) (Subtraction Property of Equality)
-4y + ky = -k (Simplify)
y(-4 + k) = -k (Factor)
[tex]\frac{y(-4+k)}{-4+k}=\frac{-k}{-4+k}: k\neq 4[/tex] (Division Property of Equality)
[tex]y=-\frac{k}{-4+k}; k \neq 4[/tex] (Simplify)
The value of y is k/ (4- k).
What is algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them. Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific variables in our day-to-day situations. But the need to depict these shifting values is ongoing. These values are frequently represented in algebra by symbols such as x, y, z, p, or q, and these symbols are known as variables. In order to determine the values, these symbols are also subjected to different addition, subtraction, multiplication, and division arithmetic operations.
Given:
2y + k = 6y - ky
Now, solving for y
2y -6y + ky = -k
-4y + ky= -k
y( k-4) = -k
y = -k/(k -4)
y= k/ (4- k)
Hence, the value of y is k/ (4- k).
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find the difference 85.777-42.432
Answer:
That's the answer
please mark brainiest
pls help me no one will answer my question
Answer:
Domain { 0,2,3,4}
Range { -2,1,2,5}
Step-by-step explanation:
The domain is the values that x can take
Domain { 0,2,3,4}
The range is the values that y can take
Range { -2,1,2,5}
Please help, I honestly have no clue what I’m doing.
Given the table below, determine the following
Y = -4x+15
(Picture below)
Answer:
y=-1
y=43
x=14
Step-by-step explanation:
So, you have the equation: [tex]y=-4x+15[/tex], and if we know one value we can easily solve for the other using some algebraic manipulation.
Find y when x=4.
For this we know one value, "x", and the other "y" value is unknown. This is actually not to hard if you notice that the equation we're given expresses the value of "y" in terms of "x".
So let's plug in the x-value: [tex]y=-4(4)+15\implies y=-16+15=-1[/tex]
So we get: y=-1, which turns out to be the solution!
Find y when x=-7
This is a similar process, so let's just get straight into it and plug x as -7
[tex]y=-4(-7)+15\\y=28+15\\y=43[/tex]
This is our solution, y=43
Find x when y = -41
So this case is a bit different since we're given the y-value and not the x-value, and as I mentioned the equation represents the value of y in terms of x.
We still do a similar process, except we'll use some more algebraic manipulation, but let's start by plugging in the known value:
[tex]-41=-4x+15[/tex]
Let's move the constant, 15, to the other side by subtracting by 15 to cancel both sides.
[tex]-56 = -4x[/tex]
Now we want to get the x alone, and the only "operation" being done on the x, is that it's being multiplied by the coefficient of -4. To cancel this out we want to divide both sides by -4 to maintain equality & cancel out the coefficient of -4 to one, which is just 1 * x which can be expressed as x as it's implied the coefficient is 1
[tex]14=x[/tex]
Now we have our solution!
The value of a motorcycle decreases at a steady rate of 20% each year. What is the total percentage loss (to the nearest integer) in the value of the motorcycle at the end of 3 years?
Answer:
The total percentage loss would be 67%.
Step-by-step explanation:
Since we have given that
Rate of decline each year = 20%
Number of years = 5
We need to find the total percentage loss in value of the house at the end of 5 years.
So, Total percentage loss would be
she will make the base and side of the box out of a metal that costs 50 cents per square inch. the lid of the boxwill be made from a metal with a more ornate finish which costs 200 cents per square inch
Answer:
4
Step-by-step explanation:
1 side is 50 per inch the ornate cost 200 cents. 200÷50=4
Monster multiplacation Multiply using the standard algorithm. Show your stuff 92 43
The multiplication of 92 by 43 using standard algorithm is 3956.
What is standard algorithm?A standard algorithm or method in elementary mathematics is a certain computation technique that is typically taught for resolving particular mathematical issues.
To be more organized and effective, a typical algorithm uses the same steps each time we multiply, add, subtract, or divide.
Math problems are typically solved by aligning the places, starting with the ones on the right, moving on to the tens place, adding in any carryover numbers or regrouping if subtracting and so on.
Therefore, the multiplication is:
= 92 × 43
= 3956
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I need help... yet again. I'm sorry I am very uneducated.
a unit received 1,000 rounds of .9mm. they return 450 live rounds. with a brass conversion rate of .009lb, what should be the total weight of the brass returned?
The total weight of the brass returned is 4.04 lb
In this question, we have to find the total conversion of brass return with 450 so multiply the conversion rate by the live rounds return back then we will get our exact answer as follows
A unit received rounds of .9mm = 1000
They return the number of live round units = 450
They return the number of live round units with a brass conversion = .009
so,
The total weight of the brass returned = 450 × .009
The total weight of the brass returned with a brass conversion = 4.05 lb
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**Please Help Im Trying To Make My Parent Proud Of Me i'll try to brainlistt!!** Angelina added 0.45 to 0.333 and made the conclusion that the sum of two rational numbers is rational. Is Angelina correct? Explain.
a
No, she is incorrect because 0.45 and 0.333 are irrational numbers.
b
Yes, she is correct because 0.45 and 0.333 are integers.
c
Yes, she is correct because 0.45 and 0.333 are rational numbers.
d
No, she is incorrect because the decimal numbers must be the same.
Answer:
c. Yes, she is correct because 0.45 and 0.333 are rational numbers. The sum of two rational numbers is a rational number.
describe fully the single transformation which takes shape A to shape B .
please help me !!
The single transformation from shape A to shape B is;
(1, 6); (x, y) → (y + 1, x + 5)
(5, 6); (x, y) → (y + 1, x - 3)
(3, 8); (x, y) → (y + 1, x + 1)
How to find the transformation?We know that in transformation, it could either be a reflection, a dilation, a translation e.t.c.
Now, let us look at the shapes A and B to find their coordinates.
Coordinates of Shape A are; (1, 6), (5, 6), (3, 8)
Coordinates of Shape B are; (7, 6), (7, 2), (9, 4)
Since the transformed shape B is to the right of the original shape A, then we can suggest that the first transformation is a reflection about the line x = 6. Thus, this is; (x, y) → (y, x)
The transformation of shape A following (x, y) → (y, x) is;
A'(6, 1), B'(6, 5), C'(8, 3)
Comparing that to the coordinates of shape B, we can say that the transformations are;
(1, 6); (x, y) → (y + 1, x + 5)
(5, 6); (x, y) → (y + 1, x - 3)
(3, 8); (x, y) → (y + 1, x + 1)
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A line passes through the point (-1,-5) and has a slope of -7
Write an equation in slope -intercept form for this
Line
[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{-5})\hspace{10em} \stackrel{slope}{m} ~=~ - 7 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{- 7}(x-\stackrel{x_1}{(-1)}) \implies y +5= -7 (x +1) \\\\\\ y+5=-7x-7\implies {\Large \begin{array}{llll} y=-7x-12 \end{array}}[/tex]
Plot 1 1/5 on a number line
Answer: 1 and 1/5 (or 1.2), on a number line would be between One and Two but closer to One.
What is the slope of this graph? 1/4 -4 -1/4 -4
Answer:
-4
Step-by-step explanation:
The line goes down as it moves to the right so it has to be negative.
It goes over 1 and down 4.
To find the slope we use -4/1
We do this because it went down 4 so the 4 is negative, and we use 1 because it went over 1.
So -4/1 = -4
Given that △ABC ~△PQR, AC/PR=2.5 and the area of △PQR is equal to 8 cm, find the area of △ABC
The triangle ABC has an area of 50 square cm
How to determine the area of the triangle ABC?From the question, the given parameters are:
△ABC ~△PQRAC/PR =2.5 Area of △PQR is equal to 8 cm squareThe given parameters above mean that:
The triangles ABC and PQR are similar triangles
So, the area of the triangle ABC is then calculated as
Area of △PQR = Area of △ABC x (AC/PR)²
Substitute the known values in the above equation
So, we have the following equation
Area of △PQR = 8 x (2.5)²
Evaluate the product
Area of △PQR = 50
Hence, the area of the triangle ABC is 50 square cm
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When solved for C, the equation is
C = K – 273.15
C = 273.15 – K
C = K + 273.15
C = 273.15K
The temperature in Celsius (C) increased by 273.15 to get the temperature in Kelvin (K). The equation with the subject Celsius (C) is C=K-273.15, Option A correct.
Given that,
The temperature in Celsius (C) increased by 273.15 to get the temperature in Kelvin (K).
The formula K = C + 273.15 can be used to simulate this.
We have to find the equation with the subject C.
K=C+273.15
Taking the C to left hand side and K to right hand side.
-C=273.15-K
Multiplying -1 on both sides
-1(-C)=-1(273.15-K)
C=K-273.15
Therefore, The equation with the subject Celsius (C) is C=K-273.15, Option A correct.
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Show work with this problem please and thank you also see attached pictures for the other problems
1. The total bill that the basketball team will pay is $165.
2. The change that the person will recieve after paying is $43.075
How to calculate the value?1. The basketball team went out and the total bill was $125.
Tip given to waitress= 25% = 25% × $125 = $31.25
Tax rate = 7% = 7% × $125 = $8.75
Total bill = $125 + $31.25 + $8.75 = $165
2. Amount saved = $100
Total bill = $45
Tip given to waitress= 20% = 20% × $45 = $9
Tax rate = 6.5% = 6.5% × $45 = $2.925
Amount left = $100 - $45 - $9 - $2.925 = $43.075
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Vincent made a 2000 deposit into an account on august1 that yields 2% interest compounded annually. How much money will be in that account at the end of 5 years
The money in the account at the end of 5 years is 2208.16
Compound interestThe formula for calculating the compound interest is expressed according to the formula:
Compound interest = P(1+r)^t
Given the following parameters
Principal = 2000
rate = 2 % = 0.02
time = 5 years
Substitute
A = 2000(1+0.02)^5
A = 2000(1.02)^5
A = 2208.16
Hence the amount of money that will be in that account at the end of 5 years is 2208.16
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The area of the Mojave desert is 25000 square miles.
A scale drawing of the Mojave desert has an area of 10 square inches.
What is the scale of the map
The scale of the map given the area of the desert and the area of the scale drawing is 1 square inch represents 2,500 square miles.
What is the scale?A scale drawing is either a larger or smaller image of another image or object. A scale drawing is enlarged or reduced using a scale. A map is a smaller scale drawing of an area. The scale is used to keep the proportion of the dimensions between the scale drawing and the original place similar.
In order to determine the scale of the drawing, divide the original square area by the square area of the scale drawing.
Scale of the drawing = original dimensions / dimensions of the scale drawing
25,000 square miles / 10 square inches = 2,500 square miles
The scale is 1 square inch represents 2,500 square miles. or 1 : 2,500.
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Let U = {1, 2, 3, 4, 5, 6, 7, 8), A=(2, 4, 6), B = {1, 2, 5, 8), and C = (1,3,7)
AU(BUC)
A Venn diagram is visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects. Circles that overlap share certain characteristics, whereas the circles that do not overlap do not.. If U = {1, 2, 3, 4, 5, 6, 7, 8), A=(2, 4, 6), B = {1, 2, 5, 8), and C = (1,3,7), Then
AU(BUC)= {1,2,3,4,5,6,7,8}.
What is Venn diagram?A Venn diagram is visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects. Circles that overlap share certain characteristics, whereas the circles that do not overlap do not.
Venn diagrams are useful for showing how the two concepts are related and different visually. They have long been acknowledged for their value as teaching resources. Venn diagrams have been incorporated into elementary-level lesson plans and the introduction to logic curricula worldwide since the middle of the 20th century.
Venn diagrams are helpful for displaying the relationships between several ideas or factors. They can quickly demonstrate how things are alike or dissimilar as well as where and how they overlap. A Venn diagram's center, which is where two or more circles intersect, frequently indicates some nexus or central concept that may be broken down into the various other circles, with the labels on the outer portions representing more abstract and separate concepts than those near the center.
Since, BUC= {1,2,3,5,7,8}
So, AU(BUC) = {1,2,3,4,5,6,7,8}
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If you have 180 calories of milk in 2 cups, then how many calories of milk would you have in 16 cups?
I need some help.
asap help please brainly okay
Answer:
2[tex]\sqrt{10}[/tex]
Step-by-step explanation:
using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex]
given
[tex]\sqrt{5}[/tex] × [tex]\sqrt{8}[/tex]
= [tex]\sqrt{5(8)}[/tex]
= [tex]\sqrt{40}[/tex]
= [tex]\sqrt{4(10)}[/tex]
= [tex]\sqrt{4}[/tex] × [tex]\sqrt{10}[/tex]
= 2[tex]\sqrt{10}[/tex]
the object on the scale drawing is 4 inches long. How many feet long is it in real life?
Answer:
half of a foot
Step-by-step explanation:
a 1 =49 a i =a i−1 −3 Find the sum of the first 26 terms in the sequence.
By using the concepts of recurrence formula and sum, the sum of the first 26 terms of the sequence is equal to 299.
How to determine the sum of the sequence with the help of recurrence formulas
In this problem we have a recurrence formula of the following form: a₁ = C and aₙ = aₙ₋₁ + k. Then, the sum of first n terms of the sequence is:
s = a₁ + a₂ + a₃ + ... + aₙ₋₁ + aₙ
First, determine the first 26 terms of the series:
a₁ = 49
a₂ = 46
a₃ = 43
a₄ = 40
a₅ = 37
a₆ = 34
a₇ = 31
a₈ = 28
a₉ = 25
a₁₀ = 22
a₁₁ = 19
a₁₂ = 16
a₁₃ = 13
a₁₄ = 10
a₁₅ = 7
a₁₆ = 4
a₁₇ = 1
a₁₈ = - 2
a₁₉ = - 5
a₂₀ = - 8
a₂₁ = - 11
a₂₂ = - 14
a₂₃ = - 17
a₂₄ = - 20
a₂₅ = - 23
a₂₆ = - 26
Second, sum all the terms found in the previous step:
s = 49 + 46 + 43 + 40 + 37 + 34 + 31 + 28 + 25 + 22 + 19 + 16 + 13 + 10 + 7 + 4 + 1 - 2 - 5 - 8 - 11 - 14 - 17 - 20 - 23 - 26
s = 299
The sum of the first 26 terms of the sequence is equal to 299.
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Find the measure of angle TRS.
The measure of the angle TRS = 46°
The angles given in figure are :
angle QSR = 110°
angle STR = 64°
angle QRS = 2x-10°
We will find the angle TRS using these given angles and some angle properties in a triangle.
We have the fact that sum of three angles of a triangle = 180°
So angle TRS + angle RST + angle STR = 180°
angle QSR and angle RST are supplementary. i.e., their sum = 180°
So angle RST = 180° - 110° = 70°
So angle TRS = 180°- (70°+64°) = 46°
Using angle TRS we can also find angle QRS and thereby, the value of x.
From the figure, angle QRT = 90°.
So angle QRS = 90°-angle TRS
⇒ 2x - 10° = 90° - 46°
⇒ 2x = 44° + 10°
⇒ x = 54°/2
⇒ x = 27°
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lenge You buy 3.16 pounds of oranges, 1.15 pounds of peaches, and 2.24 pounds of apples.
Using the addition, if you buy 3.16 pounds or oranges, 1.15 pounds of peaches and 2.24 pounds of apples , then the total bill is 6.55 pounds
The cost of the oranges = 3.16 pounds
The cost of the peaches = 1.15 pounds
The cost of the apples = 2.24 pounds
Then the total bill = The cost of the oranges + The cost of the peaches + The cost of the apples
Here we have to use the addition
Substitute the values in the equation
Then the total bill = 3.16 + 1.15 + 2.24
= 6.55 pounds
Hence, using the addition, if you buy 3.16 pounds or oranges, 1.15 pounds of peaches and 2.24 pounds of apples , then the total bill is 6.55 pounds
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Question 4 (10 points)
Answer:
1024
Step-by-step explanation:
4^5
= 4*4*4*4*4
= 16*4*4*4
= 64*4*4
= 256*4
= 1024
Given that 2 x 108 = 20 × 107
Work out (2 x 108) + (4 × 107)
Give your answer in standard form.
The solution of the given expression will be ( 2.4 x 10⁸ ).
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that 2 x 10⁸ = 20 × 10⁷. The sum of the two exponential numbers will be calculated as:-
Sum = 2 x 10⁸ + ( 4 x 10⁷ )
Sum = 20 x 10⁷ + ( 4 x 10⁷ )
Sum = ( 20 + 4 ) x 10⁷
Sum = 24 x 10⁷
Sum = 2.4 x 10⁸
Therefore, the solution of the given expression will be ( 24 x 10⁷ ).
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what is 6 times 10 equal
Answer:
60
Step-by-step explanation:
10 + 10 + 10 + 10 + 10 + 10 = 60
Answer:
60
Step-by-step explanation:
Everytime you are multiplying by 10, you add a 0 to the number that you are multiplying by. In this case, the 6 turns into 60. This is a trick for the multiples of 10. Hope this helps!
Do these answers look right?
Answer:
Yep your good
Step-by-step explanation:
Your smart
CO2 How many atoms of each element are in the formula shown?
The number of atoms of each element in CO2 are; Number of O atoms = 2 and Number of C atoms = 1
What is the number of atoms present in the element?The number of atoms present in the molecule of an element is known as its Atomicity. For Example: In the H2O molecule, its atomicity is 3 as it has 2 molecules of hydrogen and 1 molecule of oxygen
Similarly, for the antiperspirant Al₂Cl(OH)₅. the number of atoms in each element can be found as follows;
Number of Al atoms = 2
Number of Cl atoms = 1
Number of H atoms = 1 x 5 = 5
Number of O atoms = 1 x 5 = 5
Applying the above to our question gives;
Number of C atoms = 1 atom
Number of O atoms = 2 Atoms
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