Answer:
I will assume that the term "x+2/2" is meant to be "(x + 2)/2)." Otherwise the equation would read (x/3) = x + 1
Step-by-step explanation:
(x/3) = (x + 2)/2
x = 3*(x+2)/2 [Multiply both sides by 3]
x = (3x + 6)/2
x = (3/2)x + 6/2
x - (3/2)x = 3
-0.5x = 3
x = -6
====================
Check:
Does (x/3) = (x + 2)/2 for x = -6?
(-6/3) = (-6 + 2)/2
-2 = -4/2
-2 = -2 YES
Please give me more points so i can get help
Answer:
15°
Step-by-step explanation:
angle FGH = angle HGI ( since GH bisects angle FGI)
that means
(2x + 1) = (3x - 9)
= -x = -8
x = 8
angle HGI = (3x - 9)
= 3(8) - 9
24 - 9
= 15°
Answer:
21
Step-by-step explanation:
To find the measure of <HGI we first need to find the value of x
GH bisects angle <FI which means it divided the angle into two equal parts:
<FGH = <HGI
2x + 1 = 3x - 9 transfer like terms to the same side of the equation
1 + 9 = 3x - 2x
10 = x now replace x with 10
3*10 - 9 = 21
Wesley and two of his friends are driving cross country nonstop and have agreed to take turns driving in 7 hour shifts. Each person will drive for one shift, and take two shifts off to rest. If Wesley’s first shift starts at 6:00 am, at what time will Wesley complete his third shift?
At 7:00 am Wesley complete his third shift if Wesley and two of his friends are driving cross country nonstop and have agreed to take turns driving in 7-hour shifts option (C) is correct.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have:
Wesley and two of his friends are driving cross country nonstop and have agreed to take driving in 7-hour shifts.
Wesley’s first shift starts at 6:00 am
6:00 am = 6h 0m
= 6 + 7
= 13 h = 1:00 PM (Wesley's starts to rest)
Wesley will take a rest for 14 hours (7 + 7)
First shift = 7 + 14 = 21
Second shift = 7 + 14 = 21
Third shift = 7 = 7
= 21 + 21 + 7 = 49
= 49/24 = 2 days + 1 hour
6h + 1h = 7h = 7:00 am
Thus, at 7:00 am Wesley complete his third shift if Wesley and two of his friends are driving cross country nonstop and have agreed to take turns driving in 7-hour shifts option (C) is correct.
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can you answer this question using simultaneous equations the substitution method
Answer:
a) a=17/16, b=3/8 (17/16, 3/8)
b) x=12/17, y=25/17 (12/17, 25/17)
Step-by-step explanation:
I attached the work for solving the equations with substitution method... Sorry it took a bit of time and this would've been easier if the question's asking for elimination lol
a die is tossed. find the odds against rolling a number greater than 1
Answer:
5/6
Step-by-step explanation:
cuz there's 6 sides and there are 5 more sides than the 1
The correct answer is : [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
a die has 6 sides.
each side has a number 1-6
The chance of it rolling a number greater than one is 5 chances per 6 options or 5/6
Helppppppppp I don’t have much time shoe your work
Answer:
x = 4
Step-by-step explanation:
Use order of operations (PEMDAS) to simplify and solve algebraic equations:
P - Parentheses: Simplify all parentheses in the equation first.
E - Exponents: Evaluate all exponential expressions in the equation next.
M/D - Multiplication/Division: After P and E, Multiplication in the equation comes next. These are interchangeable, so if these are the only operations left, calculate in the direction left to right.
A/S - Addition/Subtraction: After everything else has been done, move on to Addition/Subtraction. These two are also interchangeable, so you must also calculate in the direction left to right.
First, implement the order of operations to simplify the equation:
2²(x + 3) + 9 - 5 = 32 --- Evaluate the exponent.
4(x + 3) + 9 - 5 = 32 --- Use the Distributive Property to multiply.
4x + 12 + 9 - 5 = 32 --- Add/Subtract (Combine like terms).
4x + 16 = 32
Next, isolate the variable x to solve for its value:
4x + 16 = 32 --- Subtract 16 from both sides of the equation.
4x = 16 --- Divide both sides of the equation by 4 to get the value of x.
x = 4
To confirm that x = 4, you can substitute x for 4 in the original equation and see if both sides of the equation are equal:
2²[(4) + 3] + 9 - 5 = 32 --- Simplify the parentheses.
2²(7) + 9 - 5 = 32 --- Evaluate the exponent.
4(7) + 9 - 5 = 32 --- Multiply.
28 + 9 - 5 = 32 --- Simplify the equation using Addition/Subtraction.
32 = 32
After using substitution, we can confirm that x = 4.
To solve for the x-variable in a linear equation, we will need to isolate it on one side of the equation. If the x-variable is inside a parenthesis, we will need to open the parenthesis first, then isolate the variable. To solve/simplify the equation, we will need to use PEMDAS. It is a common method used to simplify equations and inequalities through priorities.
Concept: PEMDASThe word "PEMDAS" is a shortened word of "Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction". We follow this order (left-right) to simplify algebraic terms. Since parenthesis is the first priority, we would simplify the expression inside the parentheses. There are two exceptions to this priority in PEMDAS. (1) One of the terms in the expression is a variable, so the expression cannot be simplified, or (2) if there was no parenthesis in the first place. The next priority is "Exponents". This priority is used if there are any exponents used in the equation. The only exception to this priority is when there are no exponents used in the equation. The next priority is "Multiplication". This means that you have to simplify any products "multiplying terms" first. The only exception to this is when there are no terms being multiplied. The next priority is "Division". This priority tells that we need to simplify any division occurring the equation next. There is only one exception to this priority. Only possible if there is no division occurring in the equation. Then, we have "addition" as our 5th priority. This priority states that simplifying any expression that is being added next. The only exception to this priority is when there are no terms being added. The last and final priority is subtraction. This priority states that simplify any expression that is being subtracted. There is no exception to this priority.
Solving for the x variable:Simplifying the equation using PEMDAS:
We have the following equation: 2²(x + 3) + 9 - 5 = 32
Let us simplify using our first priority. Unfortunately, there is a variable inside the parenthesis. Therefore, we can't simplify the expression inside the parenthesis. Let us now simplify using out second priority. We can see a term outside the parenthesis "2²". Since that term has an exponent, let us simplify that term! Eventually, the term will simplify to 4.
⇒ 4(x + 3) + 9 - 5 = 32Before we move onto the next priority, let us open the parenthesis as we need to isolate the x-variable. This basically means that we need to simplify the distributive property. To simplify the distributive property, we need to multiply the term outside the parenthesis to all the terms inside the parenthesis. So, we have the following simplified equation:
⇒ 4(x) + 4(3) + 9 - 5 = 32⇒ 4x + 4(3) + 9 - 5 = 32Our next priority is multiplication. So, let us simplify any products occurring in the equation. We can see 4 being multiplied to 3. Therefore, let us simplify that term! Simplifying that term basically gives us 12. So:
⇒ 4x + 12 + 9 - 5 = 32Now, our next priority is division. However, we do not see any division occurring in the equation. Therefore, this follows the exception of the division priority in PEMDAS. So, let us move on to the next priority.
The next priority is addition. We can see 12 being added to 9. Therefore, let us simplify the expression. Simplifying that expression gives us 21. So:
⇒ 4x + 21 - 5 = 32The last and final priority is subtraction. We can see 5 being subtracted from 21. Therefore, let us simplify the expression, which gives us 16. So:
⇒ 4x + 16 = 32Solving for the x-variable by isolating it:
Now, let us isolate the x-variable to determine its value. This can be done by subtracting 16 on both sides of the equation. Then, we can divide 4 both sides to cancel out the coefficient of x.
⇒ 4x + 16 - 16 = 32 - 16⇒ 4x = 16⇒ 4x/4 = 16/4⇒ x = 4Therefore, the value of x in the equation is 4.
The number of gallons of gas Connie’s car, g, uses is directly proportional with the number of miles she drives, m. Last week, she drove 469.8 miles and used 14.5 gallons of gas. Which equation would best represent the problem?
The equation which represent the problem is 14.5 = 469.8k.
What is Equation?An equation is a mathematical statement with an 'equal to =' symbol between two expressions that have equal values.
Here, As given in question
The number of gallons of gas Connie’s car, g, uses is directly proportional with the number of miles she drives, m.
g α m
g = km ............(i)
g = 14.5 gallons of gas m = 469.8 miles
14.5 = k X 469.8
14.5 = 469.8k
Thus, the equation which represent the problem is 14.5 = 469.8k.
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What is 5 + 10^5 or what is 5 + 10 to the 5th power?
Answer:
5 + 10^5 = 100005 (I think its this one you are looking for
(5 + 10)^5 = 759275
Step-by-step explanation:
Answer:
100,005
Step-by-step explanation:
Original: 10 * 1 = 10
First, you need to do 10 * 10 which = 100.
Next, you need to do 100 * 10 which = 1,000.
Next, you need to do 1000 * 10 which = 10,000.
Next, you need to do 10000 * 100 which = 100,000.
Lastly, you need to add 5 to 100,000 and you get 100,005.
I Hope This Helped :D
Is 937.5 as the same as 937.50 Answer the question.
Calculate -0.4 as a percentage of 1.8
Answer:
-22.2222222222%
Step-by-step explanation:
-0.4/1.8×100
Which ordered pair could not be the coordinates for a clockwise rotation of the point W (-3, 4)?
(-4, -3)
(3, -4)
(-4, 3)
(4, 3)
Answer:
(-4, -3)
(-4,3)
(4,3)
The clock wise rotation of the coordinate will be
(3,4)
(3,-4)
(-3,-4)
(-3,4)
Answer:
(-4,3)
Step-by-step explanation:
starting at -3 , 4
rotate clockwise 90° this will change (x,y ) to (y ,-x)
doing this 3 times results in
4,3 then 3, -4 then -4,-3 so the answer is (-4,3)
Isaac bought snacks for his team’s practice. He bought a bag of chips for $2.94 and a 8-pack of juice bottles. The total cost before tax was $16.62. How much was each bottle of juice?
Answer:
each bottle of juice was $1.71
Step-by-step explanation
first, subtract the cost of the chips from the total cost
$16.62 - $2.94 = $13.68
now we know the price of all 8 juice bottles. To find the price of each bottle of juice, divide the total price of all 8 juice bottles by 8
$13.68 / 8 = $1.71
$16.62 - $2.94 = $13.68
$13.68/8 = $1.71
Each bottle of juice is $1.71
Mary and Julie both have a goal of raising $1000 for
charity. Mary raises $12 every 4 days. Julie raises $19
every 6 days.
Will Mary or Julie reach her goal first? Explain.
Answer:
julie
Step-by-step explanation:
12 x 4 +=48
19x 6 = 114
Select the table that lists all the factor pairs for 24
Answer:
1, 2, 3, 4, 6, 8, 12, and 24. Factors of 24 include negative numbers.
Step-by-step explanation:
which three quantities are needed in order to calculate the value of the y-intercept for the linear regression prediction equation?
The three quantities needed are the mean of X, the mean of Y, and the slope
How to determine the values?The y-intercept of a linear regression is calculated using:
[tex]a = \bar y - a\bar x[/tex]
Where:
[tex]\bar y[/tex] represents the mean of y[tex]\bar x[/tex] represents the mean of xa represents the slopeHence, the three quantities needed are the mean of X, the mean of Y, and the slope
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How can you find the coefficients of any row of Pascal’s triangle?
A) combinations
B) factorials
C) expansion
D) binomial expression
The coefficients of any row of Pascal’s triangle can be calculated using (A) combinations
How to determine the coefficients?A binomial expansion is represented as:
[tex](a + b)^n = ^nC_x a^xb^{n - x}[/tex]
Where:
x >= 0 and x <= n
In the above expression, the coefficient is:
[tex]^nC_x[/tex]
The above represents the xth term of a Pascal triangle and it is a combination expression
Hence, the coefficients of any row of Pascal’s triangle can be calculated using (A) combinations
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HELP PLEASE ASAP Which choices are equivalent to the quotient below? Check all that apply.
√12/√6
A. √2
B. √4/√2
c. 2/√3
D.√6/√2
E. √6/2
F. 2
Step-by-step explanation:
[tex] = \frac{ \sqrt{12} }{ \sqrt{6} } [/tex]
[tex] = \sqrt{ \frac{12}{6} } [/tex]
[tex] = \sqrt{2} [/tex]
The answer is A.
Match each cross section with its perimeter. a cross section parallel to the base of a right rectangular prism that is 10 inches long, 3 inches wide, and 14 inches high a cross section perpendicular to the base of a cube with 12-inch edges a cross section perpendicular to the base and passing through the diagonals of the base and opposite face of a right rectangular prism that is 5 inches long, 12 inches wide, and 4 inches high and measures 13 inches along the diagonal of the base a cross section parallel to the base of a cube whose edges are 16 inches each Perimeter Cross Section 64 inches arrowBoth
the required perimeters are 26 inch, 48 inch, 34 inch and 64 inch respectively.
What is the perimeter?Perimeter, is the measure of the figure on its circumference.
1. perimeter for a cross section parallel to base of right rectangular prisms that is 10 inches long, 3 inches wide and 14 inches high:
length = 10 inches and width = 3 inch
The perimeter of that cross section is given by.
= 2 x length + 2 x width
= 2 x 10 + 2 x 3
= 20 + 6
= 26 inches
2. perimeter of cross section perpendicular to the base of a cube with 12 inch edge is given by.
= 4 x length
= 4 x 12
= 48 inches
3. perimeter of a cross section perpendicular to the base and passing through the diagonal of the base the right rectangle is given by.
length = 5; width = 12; height = 4; diagonal = 13;
perimeter = 2 x height + 2 x diagonal
= 2 x 4 + 2 x 13
= 34 inches
4. perimeter of a cross section of a cube having edges of 16 inches each.
perimeter = 4 x edge
= 4 x 16
= 64
Thus, The required perimeter of the cross section are 26, 48, 34, 64 all in inches.
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Indigo earned a grade of 93% on her multiple choice history final that had a total of
200 problems. How many problems on the final exam did Indigo answer correctly?
Answer:
186
Step-by-step explanation:
x/200 = 0.93
x = 200(0.93)
x = 186
The number of problems that Indigo did answer correctly in the final exam is 186.
Given that:
Indigo earned a grade of 93% on her multiple-choice history final which had a total of 200 problems.
Total number of problems = 200
So, 100% grade = 200 problems
Let x be the number of problems which is answered correctly to get 93%.
Using the proportional concept,
[tex]\frac{x}{200} =\frac{93}{100}[/tex]
Cross multiply,
100x = 93 × 200
Dividing whole by 100,
x = 93 × 2
x = 186
Hence, the number of problems that are answered correctly is 186.
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If ADAB
ACBA,
ZDAB = 35° and ZCBA = 8x + 3
A
D
x = [?]
X
C
B
Answer:
x=4
Step-by-step explanation:
We are given that the triangles are congruent.
Specifically, the order of the letters gives that the angles ∠DAB and ∠CBA are corresponding parts of the two congruent triangles. Since corresponding parts of congruent triangles are themselves congruent, ∠DAB ≅ ∠CBA. Thus, m∠DAB = m∠CBA.
Given the expressions for the two angles, we can substitute into the equation, and solve for the requested variable.
[tex]m\angle DAB=m\angle CBA\\(35)=(8x+3)\\(35)-3=(8x+3\!\!\!\!\!\!\!\!\!\!{--})-3 \!\!\!\!\!\!\!\!\!\! {--}\\32=8x\\\dfrac {32}{8}=\dfrac {8x\!\!\!\!\!\!\! {-}}{8\!\!\!\! {-}}\\4=x[/tex]
Given that log (p, x) =20 and log (p, y) =5 find log (x, y)
Answer:
1/4
Step-by-step explanation:
The change of base formula for logarithms is ...
[tex]\log_b(a)=\dfrac{\log(a)}{\log(b)}[/tex]
__
Using this with the given values, we have ...
[tex]\log_x(y)=\dfrac{\log_p(y)}{\log_p(x)}=\dfrac{5}{20}\\\\\boxed{\log_x(y)=\dfrac{1}{4}}[/tex]
Modeling with Two- and Three-Dimensional Figures: Practice
Question 1 of 5
Select the correct answer.
A solid metal cylindrical rod has a diameter of 4 centimeters and a length of 100 centimeters. The rod weighs between 10 and 11 kilograms.
What type of metal was used?
O
O
O
Yellow brass with a density of 8.47 g/cm³
Stainless steel with a density of 7.48 g/cm³
Iron with a density of 7.87 g/cm³
Nickel with a density of 8.90 g/cm³
dhy
Answer:
Yellow Brass with a Density of 8.47 g/cm^3
Step-by-step explanation:
That's the answer on the website
The area of a square can be represented by the expression x10. which monomial represents a side of the square?
The side of the square is x^5 .
What is the Area of the square?Area of a square = (side)² = a²,
Given;
area of a square = [tex]x^{10}[/tex]
Equating it with the general formula of square
Area of a square = a²,
a² = [tex]x^{10}[/tex]
Taking square root on both sides,
[tex]a = \sqrt{x^{10}} \\\\a = x^5[/tex]
Hence, the side of the square is x^5.
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What function does this graph represent?
A flag pole is casting a 20ft. shadow. The flag pole measures 16 ft. Find the Angle of elevation of the sun.
Let's see
tanØ=16/20tanØ=4/5tanØ=0.8Ø=53°Answer:
53 the correct answer off your question.
If m || k and m || , then
k
m
3
2
Please help
Answer: [tex]k \parallel l[/tex]
Step-by-step explanation:
Lines that are parallel to the same line are parallel.
what is the measure of an angle if it is 260 less than three times its own supplement
Answer:
130 degrees
Step-by-step explanation:
Let's assume that the angle is X. If angle is x, then:
x+260 = 3x
subtract x from both sides:
260 = 2x
130 = x because 260/2 is 130
so the answer is 130 degreees
Answer:
I feel like the answer is 70 degrees
Step-by-step explanation:
3(180-x)-260=x
540-3x-260=x
-3x+280=x
280=4x
x=70
Evaluate (10 – 4i) ÷ (5 + i)
Answer:
the answer would be 23/13 - 15/13i
Step-by-step explanation:
The result of the complex expression (10 – 4i) ÷ (5 + i) is [tex]\frac{23}{13} - i\frac{15}{13}[/tex] .
Given, complex expression (10 – 4i) ÷ (5 + i)
Complex roots: When the roots are complex in nature then they appear in complex conjugate pair.
Complex roots: a ± ib
Complex number pair : a ± ib
i = iota(imaginary number)
a = real part
b = imaginary part
Value of iota :
[tex]i = \sqrt{-1}\\ i^2 = -1[/tex]
Complex expression : (10 – 4i) ÷ (5 + i)
Apply rationalization,
Use formula [tex](a^2 - b^2) = (a+b)(a-b)[/tex].
[tex]\frac{ (10 - 4i) }{(5 + i)} \times \frac{5-i}{5-i} \\\\= \frac{(10 - 4i) \times (5-i) }{(5+i)(5-i)} \\\\=\frac{50 -30i -4}{5^2 - i^2}\\ \\= \frac{46 - 30i}{25 +1 } \\\\= \frac{46 - 30i}{26} \\\\[/tex]
[tex]= \frac{23}{13} - i\frac{15}{13}[/tex]
The real part is positive and imaginary part is negative.
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9) Find ST
geometry
ST and RU are equal,
24x = 23x + 1
Subtract 23x from both sides:
x = 1
Now replace x to solve for ST
24x = 24(1) = 24
ST = 24
What are the next three terms in the sequence 2, -4, -16, 32
Answer:
128, -256, -1024
Step-by-step explanation:
multiply 32 by 4, multiply 128 by -2, multiply -256 by 4
Select the correct answer. how might an architect use geometry in their work? to determine the best materials for a structure to decide how many electrical outlets to install to decide how much to charge for their design to design the floorplan of a structure
An architect uses geometry to charge for their design to design the floorplan of a sructure.
Architects use geometry to help them design buildings and structures. Mathematics can help architects express design images and to analyze as well as calculate possible structural problems.
The shapes and sizes used in the architect’s design are often possible due to mathematical principles.
An example of this would be the Pythagorean Theorem. Architects are required to know college level algebra, trigonometry, probability and statistics, linear programming, calculus I and calculus II. They are also required to obtain a professional degree, gather work experience in an internship setting and pass the Architect registration exam for licensing purposes.
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Answer:
to design the floorplan of a structure
Step-by-step explanation:
Geometry describes the properties and arrangement of shapes in space. Designing the floor plan of a structure would involve the arrangement of shapes in a defined space.
