In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression.
If the algebraic expression be 5x - 8 + 2x² + 7x then we get 2x² + 12x - 8.
What is meant by algebraic expression?In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.
An expression with a variable is referred to as an algebraic expression. We use the letter "variable" to stand in for an unknowable value.
When numbers are substituted for the pronumerals in an expression that contains pronumerals, parentheses, operation signs, and numbers, the expression is said to be algebraic.
Let the expression be 5x - 8 + 2x² + 7x
Group like terms
= 2x² + 5x + 7x - 8
Add similar elements: 5x + 7x = 12x
= 2x² + 12x - 8
Therefore, the correct answer exists 2x² + 12x - 8.
To learn more algebraic expression refer to:
https://brainly.com/question/4344214
#SPJ1
452 x 12 _____ = 452
fill in the blank
Answer:
38 remander 8
Step-by-step explanation:
I need help ASAP please I’m. Also giving brainliest!
Answer:
36
Step-by-step explanation
Basically, you are just doubling the amount of wrapping paper that Carly has, so in this case it would be:
18 x 2 = 36
Can someone help me with this please?
Answer:
The triangles are similar.
Explanation:
Similar triangles have 3 pairs of congruent angles. In this diagram, we can see that the triangles WXP and WYZ share angle W, which is congruent to itself; therefore, they have at least 1 pair of congruent angles. We are given that angle X is congruent to angle Y, so that is a second pair of congruent angles. Finally, we know that angle P is congruent to angle Z because if two pairs of corresponding angles are congruent, then the third pair must also be congruent because the measures of the interior angles of both triangles have to add to 180°.
hello I need help ;]]] ❄️❄️❄️
Answer:
1. left 2. right
Step-by-step explanation:
you can draw a number line, it helps a lot!
Washington, DC is 389 miles from Statesville, NC. If you wanted to drive there,
how long would it take you driving on interstates with an average of 65 mph?
O 5.98 hours
07.07 hours
O 5.56 hours
07.78 hours
O 6.48 hours
Suppose your car gets 29 miles per gallon on the interstate and gas costs
$3.89/gallon. How much will it cost you to drive to Washington, DC?
O $0.29
O $43,883.09
$52.18
O $3.45
O $2,900.00
It would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.
To calculate the time it would take to drive from Statesville, NC to Washington, DC, we can divide the distance of 389 miles by the average speed of 65 mph.
Time = Distance / Speed
Time = 389 miles / 65 mph
Time ≈ 5.98 hours
Therefore, it would take approximately 5.98 hours to drive from Statesville, NC to Washington, DC on interstates with an average speed of 65 mph.
To calculate the cost of driving to Washington, DC, we need to know the number of gallons of gas required for the trip. We can find this by dividing the distance by the car's mileage, which is 29 miles per gallon.
Number of gallons = Distance / Mileage
Number of gallons = 389 miles / 29 miles per gallon
Number of gallons ≈ 13.41 gallons
The cost of gas can be calculated by multiplying the number of gallons by the cost per gallon, which is $3.89.
Cost = Number of gallons * Cost per gallon
Cost ≈ 13.41 gallons * $3.89/gallon
Cost ≈ $52.18
Therefore, it would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.
for such more question on cost
https://brainly.com/question/25109150
#SPJ8
Which expression is equivalent to −30+(−40)+(−70) ?
Answer:
−30+(−40)+(−70) = -140
Step-by-step explanation:
−30+(−40)+(−70) = -140
Answer:
not what im looking for
Step-by-step explanation:
Vehicles generally decrease in value around 14% per year. If you buy a vehicle priced at $39,500 , this can be modeled by the equation A=39500(0.86)t . Estimate the value of the vehicle after 4 years. Round to the nearest cent and do not round until the final calculation.
Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20..
To estimate the value of the vehicle after 4 years, we can use the given equation A = 39500(0.86)^t, where A represents the value of the vehicle and t represents the number of years.
Substituting t = 4 into the equation:
A = 39500(0.86)^4
A ≈ 39500(0.5996)
A ≈ 23726.20
Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20.
This estimation is based on the assumption that the vehicle's value decreases by 14% each year. The equation A = 39500(0.86)^t models the exponential decay of the vehicle's value over time. By raising the decay factor of 0.86 to the power of 4, we account for the 4-year period. The final result suggests that the value of the vehicle would be around $23,726.20 after 4 years of ownership.
For more such questions on estimated value
https://brainly.com/question/27898355
#SPJ8
You and your family go camping.
Your campsite is square. The area
of your campsite is 900 square
feet. What is the perimeter of the
campsite?
Answer:
The campsite would be 65 m by 65 m. 65 x 65 = 4,225. Another way to put it (and the way to figure it out) is that the square root of 4,225 is 65.
Step-by-step explanation:
3/8×1/3×3/4=?
What is is the answer???
The exact form is: 3/32
And the decimal form is: 0.09375
A. Step 1B. Step 2C. Priya did not make a mistake
We will have the following:
\(\frac{f}{0.25}=16\Rightarrow f=16\cdot0.25\)\(\Rightarrow f=4\)From this we can see that there was no mistaky on Priya's side. [Option 3]
The length of a rectangle is 1 units more than the width. The area of the rectangle is 72 units. What is the length, in units, of the rectangle?
which expression is equivalent to
2x-11x-6
Answer:
Step-by-step explanation:
The expression 2x - 11x - 6 can be simplified as follows:
2x - 11x - 6 = -9x - 6
So, the equivalent expression is -9x - 6.
The answer is:
-9x - 6
Work/explanation:
To simplify this expression, we combine the like terms :
\(\huge\text{2x - 11x - 6} \\ \\ \\ \text{-9x - 6}\)
There's nothing that we can do for this expression. It's been simplified as much as possible.
Hence, the answer is -9x - 6.James lives 4 miles from the town library. He lives 256 miles from the post office.
How much closer is James to the post office than to the library?
Enter your answer in the box as a mixed number in the simplest form. (Please Help!)
Answer:
1 1/6 miles
Step-by-step explanation:
i failed the test sooo haha here you go hopefully you dont fail:)
Using the unitary method we can conclude that James is 64 times closer to the post office than to the library.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We have been given that James lives 4 miles from the town library.
James lives 256 miles from the post office.
Therefore, we will divide the 256 by 4 to get the answer;
256/4 = 64
Thus, we can conclude that James is 64 times closer to the post office than to the library.
To learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ5
a bill is $42 the family leaves a trip and spends $49.77 how much was the tip in dollars?
Answer:
7 dollars and 77 cents
Step-by-step explanation:
Can i get brainliest??
Answer:
$ 7 . 77
Step-by-step explanation:
49.77 - 42 = 7.77
Hope this helps dude
Options are 1,2,3,4
Need help with geometry
Answer: 45
Add x and 3x to get 4x. A line is equal to 180 degrees, so 180/4x which will get you 45.
T/F show that regardless of the testing point used we arrive at the same answer for the direction of a phse plane
True, Regardless of the testing point used we arrive at the same answer for the direction of a phase plane.
We were able to sketch the solution, y(t), in the y-t plane for the single differential equation case and observe actual solutions. Due to the fact that our answers are actually vectors, this would be fairly challenging in this situation.
Here, we're going to plot the points that we represent as the system's solutions as points in the x1x2 plane. Our equilibrium solution will line up with the x1x2 plane's origin, which is also known as the phase plane.
To learn more about phase plane here:
https://brainly.com/question/15276883
#SPJ4
please explain what comparison you can state about the two angles and explain how you can draw that conclusion
The conclusion about angles B and C is that the angles are equal angles
How to determine the true statement?
The given parameters are:
Angle A and Angle B are supplements
Angle A and Angle C are supplements
Supplementary angles add up to 180 degrees.
This means that
A + B = 180
A + C = 180
Subtract the two equations
So, we have
A - A + B - C = 180- 180
Evaluate the like terms
So, we have
B - C = 0
Add C to both sides
B = C
Hence, both angles are congruent angles
Read more about angles at
brainly.com/question/7620723
#SPJ4
Given a mean of 34 and a standard deviation of 5. Find the following z-scores.
The z-score for the raw score of 39 is 1.The z-score for the raw score of 30 is -0.8.Z-scores measure the number of standard deviations a raw score is from the mean. A positive z-score indicates a raw score above the mean, while a negative z-score indicates a raw score below the mean.
To find the z-scores, we need to use the formula:
z = (x - μ) / σ
where:
z is the z-score,x is the raw score,μ is the mean, andσ is the standard deviation.
Let's calculate the z-scores for the given mean of 34 and standard deviation of 5.For a raw score of 39:
z = (39 - 34) / 5
z = 5 / 5
z = 1
So, the z-score for the raw score of 39 is 1.For a raw score of 30:
z = (30 - 34) / 5
z = -4 / 5
z = -0.8
The z-score for the raw score of 30 is -0.8.
For such more questions on Standard deviations:
https://brainly.com/question/24298037
#SPJ11
A neon atom has 10 protons and 10 electrons. The 10 protons have a charge of +10 and the 10 electrons have a charge of -10.
What is the sum of the charges in the neon atom?
A. 10
B. -10
C. 0
D. 20
Answer:
C. 0
Step-by-step explanation:
10 - 10 =0
The proton and electron charges cancel themselves out in atoms
Use Pattern and Structure
Since the above shape is a quadrilateral with four equal sides, it can be called a Rhombus. Thus, to prove that ∠BAD ≅ BCD all we need state is that:
Line AB ≅ Line BC ≅ Line CD ≅ LIne DA : Given
∠ABC ≅ ADC [Definition of and Properties of Rhombus]
Thus ∠BAD ≅ BCD [Definition of and Properties of Rhombus]
What property of Rhombus makes the above correct?The exact property referenced in above is:
The opposite angles of a rhombus are equal to each other. Other properties are given as follows:
The inner angles of a rhombus are four.The total of a rhombus' internal angles equals 360 degrees.A rhombus's opposing angles are equal to each other.The adjacent angles are extraneous.Diagonals in a rhombus intersect at right angles.These angles are bisected by the diagonals of a rhombus.Learn more about Rhombus:
https://brainly.com/question/27870968
#SPJ1
HELP I WILL GIVE BRAINLIEST IF RIGHT
Answer:
a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
I might be wrong but i'm pretty sure it's right
Three partners are investing a total of $700,000 to open a garden and landscaping store. The first partner wns 30% of the business, and the second partner owns 25% of the business. What percent does the third partner own? Just input the numerals for your answer -do not add a percent sign. hip
Answer: 45
Step-by-step explanation: The 3rd partner has 45% of the store. Which is also $315,000.
Answer: the third partner owns 45% or $315,000 of the business.
Step-by-step explanation:
30 percent of 700,000=210,00
25 percent of 700,000=175,000
175,000+210,000=385,000
700,000-385,000= 315,000
the third partner owns 315,000 and 315,000=45%
Question(1 Point)What are the x-intercept and y-intercept of the line equation 2x - 3y - 6 = 0?F (3, 0) and (0, -6)G (6,0) and (0, -3)H (-2, 0) and (0, 3)J (3,0) and (0, -2)
The x-intercept and y-intercept of the line equation can be derived by considering the point that gives the same slope as the given equation.
Recall that the general equation of a straight line may be given as y = mx + c
where m is the slope and c is the intercept
the slope is also the change in y divided by the change in x
From the equation 2x -3y - 6 = 0
2x - 6 = 3y
3y = 2x -6
y = 2x/3 - 2
comparing with the general equation, m = 2/3
Considering all the points, the slope of point
F = (-6 - 0)/0 - 3
= -6/-3 = 2
G = (-3 - 0)/(0 - 6)
= 1/2
H = (3-0)/(0 --2)
= 3/2
J = (-2 -0)/(0-3)
= 2/3
From above, point J has the same slope as equation hence the x intercept and y intercept of of the line equation are (3,0) and (0,-2)
The mean June midday temperature in Desertville is 36°C and the standard deviation is 3°C.Assuming this data is normally distributed, how many days in June would you expect the midday temperature to be between 39°C and 42°C?
Answer:
The value is \(E(X) = 4 \ days\)
Step-by-step explanation:
From the question we are told that
The mean is \(\mu = 36^oC\)
The standard deviation \(\sigma = 3^oC\)
Generally the probability that in June , the midday temperature is between
39°C and 42°C is mathematically represented as
\(P(39 < X < 42) = P(\frac{39 - 36}{3} < \frac{X - \mu }{\sigma} < (\frac{42 - 36}{3} )\)
\(\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )\)
\(P(39 < X < 42) = P(1 < Z <2 )\)
=> \(P(39 < X < 42) = P(Z < 2) - P( Z <1 )\)
From the z table the area under the normal curve to the left corresponding to 1 and 2 is
P(Z < 2) = 0.97725
and
P(Z < 1) = 0.84134
\(P(39 < X < 42) = 0.97725 - 0.84134\)
=> \(P(39 < X < 42) = 0.13591\)
Generally number of days in June would you expect the midday temperature to be between 39°C and 42°C
\(E(X) = n * P(39 < X 42 )\)
Here n is the number of days in June which is n = 30
\(E(X) = 30 * 0.13591\)
=> \(E(X) = 4 \ days\)
The function T(d)=10d + 20 gives the temperature in deegrees celcius inside the earth as a function if d, the depth in kilometers ,Find the temperature at.
Answer:
Step-by-step explanation:
The question is incomoplete. Here is the complete question.
The function T(d)=10d + 20 gives the temperature in deegrees celcius inside the earth as a function if d, the depth in kilometers ,Find the temperature at 5km, 20km and 100km
T(d)=10d + 20
T(5)=10(5) + 20
T(5)= 50+ 20
T(5) = 70
Hence the temperature is 70 when d = 5km
when d = 20km
T(20)=10(20) + 20
T(20)= 200+ 20
T(20) = 220
Hence the temperature is 220 when d = 20km
when T = 100km
T(100)=10(100) + 20
T(100)= 1000+ 20
T(100) = 1020
Hence the temperature is 1020 when d = 100km
The temperatures at 5km, 20km and 100km are; 70°C, 220°C, and 1020°C respectively.
The complete question requires that we find the temperature at 5km, 20km and 100km.
The temperature function is; T(d)=10d + 20
For 5km;
T(5)=10(5) + 20T(5) = 70°CFor 20km;
T(20) = 10(20) + 20T(20) = 220°CFor 100km;
T(100)=10(100) + 20T(100) = 1020°CRead more;
https://brainly.com/question/15308045
What would the answer be?
The length of the arc CD is 14.13 centimeters.
How to find the length of CD?Remember that for an arc defined by an angle a in a circle of radius R, the length of the arc is given by:
L = (a/360°)*2*pi*R
Where pi = 3.14
Here the angle is a = 45°
And R = 18cm, so we can replace that in the formula above to find the length.
L = (45°/360°)*2*3.14*18cm = 14.13cm
That is the length of the arc CD.
Learn more about arcs at:
https://brainly.com/question/28108430
#SPJ1
what is the slope of the line represented by the equation y equals negative 1 / 2 x + 1 / 4
Answer:
1/2
Step-by-step explanation:
just because it is
Help please, don’t understand this
Answer:
b = -13/3
Step-by-step explanation:
Plug in the 13/3 into the t and then try to solve it. Like this:
(13/3 - 8/3)(13/3 + b) = 0 ----> 5/3(13/3+b) = 0 ----> from here you have to distribute ----> 65/9 + b = 0 (here you have to subtract from both sides)
b = -65/9 (you could simplified) ---> b = -13/3
In 2003, the population of an African country was about 10.9 million people, which is 1 million more than 3 times the population in 1950. Enter and solve an equation to find the approximate population p (in millions) in 1950. An equation is The approximate population in 1950 was million people.
Answer:
10.9+1.00=11.9
11.9×3=