Answers
Answer:
I hope This will Help u.. Plz mark me as Brilliant please
Step-by-step explanation:
Before you get started, take this readiness quiz.
Simplify: 
If you missed this problem, review (Figure).
Solve Equations with Constants on Both Sides
In all the equations we have solved so far, all the variable terms were on only one side of the equation with the constants on the other side. This does not happen all the time—so now we will learn to solve equations in which the variable terms, or constant terms, or both are on both sides of the equation.
Our strategy will involve choosing one side of the equation to be the “variable side”, and the other side of the equation to be the “constant side.” Then, we will use the Subtraction and Addition Properties of Equality to get all the variable terms together on one side of the equation and the constant terms together on the other side.
By doing this, we will transform the equation that began with variables and constants on both sides into the form  We already know how to solve equations of this form by using the Division or Multiplication Properties of Equality.
Solve: 
Solution
In this equation, the variable is found only on the left side. It makes sense to call the left side the “variable” side. Therefore, the right side will be the “constant” side. We will write the labels above the equation to help us remember what goes where.

Since the left side is the “”, or variable side, the 8 is out of place. We must “undo” adding 8 by subtracting 8, and to keep the equality we must subtract 8 from both sides.
Use the Subtraction Property of Equality.Simplify.Now all the variables are on the left and the constant on the right.
The equation looks like those you learned to solve earlier.Use the Division Property of Equality.Simplify.Check:Let .
Solve: 

Solve: 

Solve: 
Solution
Notice, the variable is only on the left side of the equation, so we will call this side the “variable” side, and the right side will be the “constant” side. Since the left side is the “variable” side, the 9 is out of place. It is subtracted from the , so to “undo” subtraction, add 9 to both sides. Remember, whatever you do to the left, you must do to the right.
Answer:
Division property of equality
Step-by-step explanation:
[tex] - 2m = 40[/tex]
[tex]m = \frac{40}{ - 2} [/tex][tex]m = - 20[/tex]
Hope it is helpful...Related Questions
Pls I need help with thia
Answers
Answer:
6
Step-by-step explanation:
Use Pythagorean Theorem to solve for the missing side:
[tex]a^2+b^2=c^2\\a^2+(7)^2=(\sqrt{85})^2\\a^2+49=85\\a^2=36\\\sqrt{a^2} =\sqrt{36}\\a=6[/tex]
Solve for x and show your work
Answers
Answer:
x = -5
Step-by-step explanation:
50 = x+55
50 - 55 = x
-5 = x
Help?,?,?,?.!.??.?.?.?.?.?.
Answers
Answer:
Step-by-step explanation:
b(a + 1) + a = b*a + b + a = ab + b + a
1) b(2a +1 ) = b*2a + b*1 = 2ab + b Not equivalent.
2)a + (a +1)*b = a + ab+ b Equivalent
3) (a +1)(b+ a) = a*(b +a) + 1*(b+a) = ab+ a² +b + a Not equivalent.
4) (a + 1)b + a = ab+ b + a Equivalent
5) a + b(a+1) = a +ab + b Equivalent
6) a + (a +1) + b = a + a + 1 + b = 2a + 1 +b Not equivalent.
7) a(b +1) + b = ab + a + b Equivalent
Use the completing the square method to transform the equation x2 + 2x = 13 into an equation of the form (x + a)2 = b, where ɑ and b are real numbers What are the values of ɑ and b?
Answers
Answer:
(x+1)² = 14
a = 1, b = 14
Step-by-step explanation:
Given the equation, x² + 2x = 13
We are to use the completing the square method to express in the form
(x + a)² = b
x² + 2x = 13
Add the square of half of the coefficient of x to both sides
Coefficient of x = 2
Half of the coefficient of x = 2/2
Square of the result = (2/2)²
Square of the result = 1²
Add (1/2)² to both sides
x² + 2x + (1)² = 13 + (1)²
(x+1)² = 13 + 1
(x+1)² = 14
Compare with (x+a)² = b
a = 1 and b = 14
X X 7
What is the solution to the equation 3+ 6 = ?
3
OX= 2
7
OX=3
O x= 3
O x=7
Answers
Answer:
x=7
Step-by-step explanation:
x/3 + x/6 = 7/2
Multiply each side by 6 to clear the fractions
6(x/3 + x/6) = 7/2 *6
Distribute
2x +x = 21
Combine like terms
3x = 21
Divide by 3
3x/3 = 21/3
x = 7
Answer:
x = 7
Step-by-step explanation:
Given
[tex]\frac{x}{3}[/tex] + [tex]\frac{x}{6}[/tex] = [tex]\frac{7}{2}[/tex] ( multiply through by 6, the LCM of 3,6, 2 to clear the fractions )
2x + x = 21
3x = 21 ( divide both sides by 3 )
x = 7
In 6 seconds, a total of 3 waves crash into a cliff. The distance between 2 adjacent wave crests on the water is 8 meters.
Answers
Answer:
Wavelength = 16 m
Step-by-step explanation:
Given that,
In 6 seconds, a total of 3 waves crash into a cliff.
The distance between 2 adjacent wave crests on the water is 8 meters.
We need to find the wavelength of the wave.
We know that, the distance between two consecutive wave is called wavelength of a wave.
We can understand that, total of 3 wave crests, the distance between first and second wave crest is 8 meters.
Hence, the wavelength is 8 m + 8 m = 16 m
A sum of money is deposited in a bank which offers a simple interest rate of 0.325% per annum. At
the end of the 4 years, the total amount receives is $50 650. Find the sum of money deposited.
Answers
Answer:
The sum of money deposited is approximately $22,021.74
Step-by-step explanation:
The given interest and amounts of the deposit are outlined as follows;
The simple interest per annum, R = 0.325%
The number of years the money is deposited, T = 4 years
The total amount received (Interest + Initial deposit), A = $50,650
We have;
I = P × R × T
Where;
P = The principal (initial amount deposited)
R = The (annual) interest rate = 0.325%
T = The time = 4 years
Therefore;
The total amount received, A = P + I
P + I = P + P × R × T = P × (1 + R × T)
∴ A = P + I = P × (1 + R × T)
P = A/(1 + R × T)
Plugging in the values, gives;
P = 50,650/(1 + 0.325 × 4) = 506,500/23 ≈ 22,021.74
The sum of money deposited, P = $22,021.74
Write an equation of the line that goes through the point (0,5) and has a slope of 4.
Answers
The Equation of the line can be represented as :
[tex] \longrightarrow \: y = mx + b[/tex]
where, m is slope of the line.
now, let's solve for b , by plugging the values of "x" , "y" and "m"
[tex] \longrightarrow \: 5 = (4 \times 0) + b[/tex]
[tex] \longrightarrow \: b = 5[/tex]
Therefore, the equation of above line is
[tex] \large \boxed{ \mathrm{y = 4x + 5}}[/tex]
[tex] { \orange{ \mathfrak{ \underline{hope \: \: it \: \: helps \: \: you.....}}}}[/tex]
i dont really understand this. ranking brainliest !
Answers
Answer:
98
Step-by-step explanation:
because this is an isosceles triangle so base angle are equal and triangle add up to 180°. so H will be 41 as well to find out F
do 180-41-41=98 is the answer.
hope this helps :)
Zikri wins a cash prize of one million ringgit. She invests the money into an investment institution that offer
a return of 6% per year. The total amount of Zikris investment after n years is calculated by using the formula
J = P(1 + k)" with p is the initial investment and k is the rate of return per year. Find Zikris total investment
after 15 years.
Answers
Answer: 2,396,558 Ringgit
Step-by-step explanation:
J = P * ( 1 + k)^n
P = initial investment of 1,000,000 Ringgit
k = rate of return of 6% per annum
n = Number of years of investment
J = 1,000,000 * ( 1 + 6%)¹⁵
= 1,000,000 * 2.396558193
= 2,396,558 Ringgit
Una alberca, tiene las siguientes dimensiones: 15 metros de largo, 4 metros de ancho y una profundidad de 1.8 metros. Si se desea que solo se llene a un 95% de su capacidad y para eso se abre una llave la cual deposita 90 litros de agua en tan solo 1 minuto. ¿En Cuánto tiempo estará lista la alberca? *
Answers
Answer:
please transalate
porfavor transalate
Step-by-step explanation:
Y’all help meeee imma fail fr!!.!.
Answers
Answer:
Altitude of cylinder = 10 cm
Step-by-step explanation:
Given:
lateral surface area of cylinder = 90 cm²
Circumference of base = 9 cm
Find:
Altitude of cylinder
Computation:
Circumference of base = Circumference of cylinder
So,
2πr = 9
lateral surface area of cylinder = 2πrh
2πrh = 90
We know that; 2πr = 9
So,
9(h) = 90
h = 90 / 9
Altitude of cylinder = 10 cm
what is the vertices of hexagon
Answers
Answer:
A Hexagon has 6 sides so 6 Vertices
An airplane is flying 2 miles over the ocean directly toward a coastline. If the angle of depression to the coastline from the airplane is 15 degrees, how much farther does the airplane have to fly before it is directly above the coastline? Round to the nearest tenth.
Answers
The airplane has to fly approximately 7.47 miles farther before it is directly above the coastline (rounded to the nearest tenth).
Here,
Let's consider the situation described in the problem:
An airplane is flying 2 miles over the ocean, directly toward a coastline. The angle of depression from the airplane to the coastline is 15 degrees. We want to find out how much farther the airplane has to fly before it is directly above the coastline.
Let's represent the distance the airplane needs to fly before it is directly above the coastline as "x" miles.
Now, we have a right-angled triangle formed by the airplane, the coastline, and the point directly below the airplane on the coastline (the foot of the perpendicular).
The angle of depression is the angle between the horizontal line (the coastline) and the line of sight from the airplane to the foot of the perpendicular.
Since we know the angle of depression and the length of the opposite side (the height of the airplane above the coastline, which is 2 miles), we can use trigonometry (specifically, the tangent function) to find the length of the adjacent side, which is the distance the airplane needs to fly (x miles).
The tangent of an angle in a right-angled triangle is defined as the ratio of the length of the opposite side to the length of the adjacent side:
tan(angle) = opposite / adjacent
In our case, the angle is 15 degrees, the opposite side is 2 miles, and we want to find the adjacent side (x miles):
tan(15°) = 2 / x
Now, solve for x:
x = 2 / tan(15°)
Using a calculator:
x ≈ 2 / 0.26794919243 ≈ 7.47 miles
So, the airplane has to fly approximately 7.47 miles farther before it is directly above the coastline (rounded to the nearest tenth).
To learn more trigonometry click:
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Give the inequality -8<2 explain what happens when you multiply or divide both sides by 2 and what happens when you multiply or divide both sides by negative 2
Answers
Answer:
If we multiply both the sides by 2, the inequality signs remains the same.
If we divide both sides by -2, the sign changes.
Step-by-step explanation:
The given inequality is
-8<2
If we multiply both the sides by 2, we get
-8 * 2 < 2*2
-16 < 4
The inequality signs remains the same.
On the other hand if we divide both sides by -2, we get -
-8/-2 < 2/-2
4 > -1
Here the sign changes.
Find the missing side. Round to the nearest tenth. X=?
Answers
Answer:
x = 12.2
Step-by-step explanation:
to solve for 'x', we can use the sine ratio of opposite/hypotenuse
we need to find the angle opposite side 'x', which can be found by:
180-(44+90) = 46
sin46° = x/17
x = 17·sin46°
x = 12.2
Someone help me with this please
Answers
Answer:
-1
Step-by-step explanation:
use a calculator and u will get this answer:)
Karl is purchasing a $205,000 home with a 30-year mortgage at 5.5%. Because he is not making a down payment, PMI in the amount of $97.50/month is required for the first 2 years of the loan. Based on this information, what is the total cost of this loan? A. $421,369.20 B. $444,923.03 C. $423,042.96 D.$452,092.10
Answers
The total loan payment is $1,024,050.
What is Mortgage Loan?Another name for mortgage loans is "loans against property." A mortgage loan can be used to refinance real estate or to buy, build, or remodel a home. Getting a new loan for a piece of property while the old one is still being paid off is referred to as refinancing. Typically, it is done to obtain a loan with better terms.
We have,
The 30-year mortgage loan of $205,000 at 5.5% interest rate
We know, the total cost of this loan can be calculated as
L=LM+PMI
So, LM=$205,000 x (1+0.055[tex])^{30[/tex]
LM=$205,000 x 4.984
LM = $1,021,710
Now, the PMI over 24 months
= $97.5 x 24
= $2,340
So, the total loan payment is:
= $1,021,710 + $2,340
= $1,024,050
Learn more about mortgage loan here:
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Which table of values corresponds to the graph below?
On a coordinate plane, a line goes through points (0, 0), (3, 1), and (6, 2).
Answers
see your answer in Pic
Answer:
A
Step-by-step explanation:
In ΔPQR, p = 7.6 inches, r = 3.5 inches and ∠R=160°. Find all possible values of ∠P, to the nearest 10th of a degree.
Answers
Answer:
There is no possible value for P
Step-by-step explanation:
In ΔPQR, p = 7.6 inches, r = 3.5 inches and ∠R=160°. Find all possible values of ∠P, to the nearest 10th of a degree
We solve using the law of sines
p/sin P = r/sin R
7.6/sin P = 3.5/sin 160
Cross Multiply
sin P × 3.5 = 7.6 × sin 160
sin P = 7.6 × sin 160/3.5
P = arc sin (7.6 × sin 160/3.5)
There is no possible value for P
PLEASE HELP ME
EXPLANATION = BRAINLIEST
Each gridline represents one mile. If Ryan drove from home to the soccer field and then from the soccer field to the library, traveling in a straight line to each destination, he would have traveled ___ miles by the time he reached the library.
Answers
Answer:
13 miles
Step-by-step explanation:
Distance from home to Field :
4² + 3² = d²
16 + 9 = d²
25 = d²
d = 5 miles
Field to Library :
8 lines so 8 miles
Total :
5 + 8 = 13 miles
He traveled 13 miles
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
As an estimation we are told £3 is €4.
Convert £33 to euros.
Answers
Answer:
44 euros
Step-by-step explanation:
if the ratio between an english pound and a euro is 3 to 4 respectivley, the ratios will hold true for any number. Since 33/3 = 11, we can stratigically multiply by 1,
3/4 = (3/4)(11/11)
so the ratios would be the same, multiplying, you would get 33/44, which means 33 pounds for 44 euros
PLEASE HELP i have less than 20 mins left
Answers
3a) Answer: 84 degrees
Step-by-step explanation:
3x + 2(x+20)= 180 (total sum of angles in a triangle is 180 degrees)
5x+40 = 180
5x = 140
x= 28
3x= 28 x 3
= 84
Find c Round to the nearest tenth 27 201 28 c=?cm
Answers
Answer:
[tex]56.3[/tex]
Step-by-step explanation:
The Law of Sines works for any triangle and is given by [tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex] (the ratio of any angle and its opposite side is equal to the ratio of all other angles and their respective opposite sides).
Thus, we have:
[tex]\frac{\sin 28^{\circ}}{27}=\frac{\sin 102^{\circ}}{c},\\c=\frac{27\sin 102^{\circ}}{\sin 28^{\circ}}=56.2547070223\approx \boxed{56.3}[/tex]
1. Find the value of x
A. 7
B. 4
C. 5
D. 6
Answers
At Shimla, the temperature was -14°C on Monday and then it dropped by 2°C on Tuesday. What was the temperature of Shimla on Tuesday?
Answers
Answer:
-14-2= -16
I hope it helps :)
x is a positive integer and 15x - 43 < 5x + 2. Work out the possible values of x.
Answers
Answer:
x = 1, 2, 3, 4
Step-by-step explanation:
15x - 43 < 5x + 2
15x - 5x - 43 < 2
15x - 5x < 2 + 43
10x < 45
x < 4.5
x = 1, 2, 3, 4
The required value of the x in the given inequality is x < 4.5.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
here,
Given expression,
15x - 43 < 5x + 2
Adding 43 on both sides,
15x < 5x + 45
Subtract 5x from both sides,
10x < 45
Divide the inequality by 10
x < 4.5
Thus, the required value of the x in the given inequality is x < 4.5.
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If the 12th term of the arithmetic sequence is 15 and the 11th term is 10, find the common difference of the sequence.
Answers
Answer:
12? 10 + d = 15 so d = 5.
Step-by-step explanation:
Answer:
d = 5
Step-by-step explanation:
The common difference d is the difference between consecutive terms, then
d = a₁₂ - a₁₁ = 15 - 10 = 5
Mira looks at her fitness monitor and sees that she has run 30% of her miles this
week. If her goal is to run 30 miles this week, how many miles has she run
already? (Provide number only)
Answers
If you need an explanation lmk ! (:
Answer:
9
Step-by-step explanation:
Simply multiply 30 by .3.
Hope that this helps!
Tatiana is playing a video game. She earns 25 points when she completes Level 1. Each time she completes a level, she earns three times as many points as the previous level.
How many points will Tatiana earn when she completes Level 7?
Answers
Answer:
18,225
Step-by-step explanation:
L1=25
L2=75
L3=225
the pattern is (25)* 3^(n-1)
L1=3^0*25 = 25
L2=3^1*25 = 3* 25 = 75
L3=3^2*25 = 9* 25 = 225
.
.
L7=3^6*25 = 729* 25 = 18,225