Answer:
Infinite solutions
Step-by-step explanation:
Distribute the 2 to (n - 1), and distribute the 2 to (3n - 1), like so:
2(n - 1) + 4n = 2(3n - 1)
2n - 2 + 4n = 6n - 2
Add like terms (2n and 4n):
6n - 2 = 6n - 2
Subtract 6n from both sides:
-2 = -2
Since we ended up with the same term on both sides, we can't do anything else, meaning this equation has infinite solutions.
Anil receives a 7% commission on computer sales. Last month his computer sales totaled $12,500. How much did Anil earn last month?
Answer:
$875
Step-by-step explanation:
Total money * commission = money earned
12500 * .07 =
$875
Perimeter of a square is (12x-2y). What is the algebraic expression for the length of the side of the square?
Answer:
s = 3x - (1/2)y
Step-by-step explanation:
The perimeter of a square is 4s, where s is the side length. Here,
12x - 2y = 4s, and so s = 3x - (1/2)y
The surface area of a sphere is 200.96 square centimeters. What is the approximate volume of the sphere? Use 3.14 for π. Round your answer to the nearest hundredth.
Answer:
[tex]267.95 cm^3[/tex]
Step-by-step explanation:
We need to first find the radius of the sphere.
The surface area of a sphere is given as:
[tex]A = 4\pi r^2[/tex]
where r is the radius
Therefore:
[tex]200.96 = 4 * 3.14 * r^2\\\\=> r^2 = 200.96 / 12.56\\\\r^2 = 16\\\\r = \sqrt{16} \\\\r = 4cm[/tex]
The radius of the sphere is 4 cm.
The volume of a sphere is given as:
[tex]V = \frac{4}{3} \pi r^3[/tex]
Therefore, the volume of the sphere of radius 4 cm is;
[tex]V = \frac{4}{3} * 3.14 * 4^3\\\\V = 267.95 cm^3[/tex]
The volume of the sphere is [tex]267.95 cm^3[/tex]
Answer:
C: 267.95 cm3
Step-by-step explanation:
A university lecturer has an annual salary of $60000. If this increases by 2% of the previous year each year, what will her salary be after 10 years.
Answer:
73,139.67
Step-by-step explanation:
Unit 5. 2) Please help. If a triangular prism and a cylinder have the same height and the same volume, what must be true about their bases?
Answer:
If a triangular prism and a cylinder have the same height and the same volume, then the area of bases must be equal.
=> Option A is correct
Step-by-step explanation:
Because they share the same formula to calculate V = Base area x Height
V and Height are same, then Base areas are same.
Hope this helps!
:)
If a triangular prism and a cylinder have the same height and the same volume, then their bases have the same area is true statement.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
If a triangular prism and a cylinder have the same height and the same volume, then their bases must have the same area.
This can be explained using the formula for the volume of a prism, which is equal to the area of the base times the height.
Since the height of both shapes is the same, the volume of the shapes is proportional to the area of their bases.
If the volume is the same for both shapes, then their bases must have the same area.
Therefore, their bases have the same area is the true statement among the given statements.
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30 POINTS!!! NEED HELP!!!!
Write the expansion for the series described by the summation notation. *
Captionless Image
a) 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100+ 121 + 144
b) 16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 + 121
c) 16 + 9 + 5 + 0 + 1 + 4 + 25 + 25 + 36 + 49 + 64 + 81 + 100 + 121
d) None of the above
Answer:
b) 16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 + 121
Step-by-step explanation:
[tex] \Sigma_{k=1}^{16} (k - 5)^2 \\
= (1- 5)^2 + (2- 5)^2 + (3- 5)^2 + \\ (4- 5)^2 + (5- 5)^2 + (6- 5)^2 \\+ (7- 5)^2 + (8- 5)^2 + (9- 5)^2 \\+ (10- 5)^2 + (11- 5)^2 + (12- 5)^2 \\+ (13- 5)^2 + (14- 5)^2 + (15- 5)^2\\ + (16- 5)^2 \\\\
=(-4)^2 + (-3)^2 + (-2)^2 + (-1)^2 + (0)^2 \\+ (1)^2 + (2)^2 + (3)^2 + (4)^2 + (5)^2 \\+ (6)^2 + (7)^2 + (8)^2 + (9)^2 + (10)^2 + \\ (11)^2 \\\\
=16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 \\+ 36 + 49+ 64 + 81 + 100 + 121[/tex]
The lines below are parallel. If the green line has a slope of -1, what is the slope of the red line? Enter your answer as an integer or a fraction in lowest terms
Answer:
The red line has a slope of -1
Step-by-step explanation:
This is because parallel lines have the same slope with a different y intercept.
If the green line's slope is -1 and it is parallel to the redline, they will have the same slope.
The square root of 83 can be platted on the number line below
Answer:
Step-by-step explanation:
A carpenter bought a piece of wood that was 5.55 meters long than sawed 0.62 meters of the end how many long is a piece of wood now ?
Answer:
4.93
Step-by-step explanation:
5.55-0.62=
4.93
About 450 manta rays are seen near lady Elliot island each year if you were to spot one manta ray at random what is the probability that it would be clouseau
Answer:
Probability that if a manta ray is spotted at random, it would be clouseau = Total number of Clouseau spotted each year) ÷(Total number of manta rays seen each year)
Step-by-step explanation:
The information given is not enough to determine the probability.
We need to know, how many Clouseau are seen each year, then we can find the desired probability.
The Parameters:
Total number of manta rays seen each year = 450
Probability that if a manta ray is spotted at random, it would be clouseau,
P = Total number of Clouseau spotted each year, C) ÷(Total number of manta rays seen each year, T)
P = C/T
P = C/450
Sydney is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $2.25. Sydney spent $24.25 altogether at the carnival and the number of rides she went on is 3 more than the number of games she played. Determine the number of games Sydney played and the number of rides Sydney went on.
Answer:
number of games played is 5
number of rides road 8
Step-by-step explanation:
8 x 2.25=18
5 x 1.25=6..25
18 + 6.25=24.25
The number of games Sydney played is 5 and the number of rides Sydney went on is 8.
What is linear equation?Linear equation is the type of equation with highest power 1.
Assume the number games Sydney played be x. So, the number of rides she went is x+3.
The cost of 1 game is $1.25. So, the cost of x games will be 1.25x.
The cost of 1 ride is $2.25. So, the cost of x+3 rides will be 2.25(x+3).
The total cost is $24.25. Formulate the linear equation and solve it.
1.25x+2.25(x+3)=24.25
1.25x+2.25x+6.75=24.25
3.5x=17.5
x=5
Substitute x=5 into x+3.
5+3=8
Thus, the number of games Sydney played is 5 and the number of rides Sydney went on is 8.
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I'm a bit stuck, well uhhh you'll see. Please help!! is she 25 or 26 ? ? ?
Answer:
25 years old
Step-by-step explanation:
19+3=22
19+6=25
19+25+22=66
she is 25 years old
June and the total of 4/6 hour on her math and reading homework which pair of models could show the amount of time in hours she spends on each subject
Answer:
2/3
Step-by-step explanation:
Arnetta’s monthly gross pay is $4,200. Federal withholding is 16.05% of her pay. Her other deductions total $321.30. What is her net pay?
Answer:
c
Step-by-step explanation:
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Answer BOTH of them plz
A teacup has a radius of 5 centimeters. What is the teacup's diameter? Help please.
Answer:10
Step-by-step explanation:
Radius is half the diameter
Answer:
10 cm
Step-by-step explanation:
the radius is half the diameter so 5x2=10cm
how to find the mean median and mode for 6 5 6 7 6 6 7 4 6 7 7 6 7 7 7 4 7
Answer:
the answer is 7 fiyfooutdt7odtudoutdup tiff 7tduptftucoutctuco7tc
Answer:
the medium is 7
Step-by-step explanation:
Simplify the equation-
x-(-2x+4)
BC=
Round your answer to the nearest hundredth.
B
20°
?
A
4
с
Remember, SOH CAH TOA for the trigonometric functions. In this problem, we are given an angle, a side opposite that angle, and a side adjacent to that angle. So, we should use the tangent function to find the missing side.
tan(20) = 4 / x
tan(20)x = 4
x = 4 / tan(20)
x = 10.99 units
Hope this helps! :)
Answer:10.99
Step-by-step explanation:
-25z+1+35z=10z+1 how mu
PLEASE HELP!! WILL GIVE BRAINLIEST IF RIGHT
An account earns annual simple interest, Find the interest earned, principal, interest rate, or time.
Interest earned: ?
Principal: $1250
Interest rate: 3%
Time: 4 years
Answer:
:
I think I know how to solve this. You are trying to find the interest earned.
Step-by-step explanation:
you take the interest rate and convert into a percentage. 3%=0.03You divide that decimal by 100. 0.03/100=0.003Take this number and multiply by the time. 0.0003x4=0.0012You then finally multiply that number by the principle and you have your answer. 0.0012x1250=1.5 percentAnswer:
t says or, so you can answer any however the answer to time would be 4 years or so
Step-by-step explanation:
10x5 = 50
50x50 = 2500
2500x.4= 1000
1000/250=4
4
Step-by-step explanation:
What is the slope of the line represented by the equation f(x)=3/2x-4 ?
Answer:
3/2
Step-by-step explanation:
it's the slope because it's before x.
Answer: 3/2 is the answer
Carlos took a test and made a 50. On the next test, he made a 75. What is the percentage of change between the two test scores?
150% increase
50% increase
150% decrease
50% decrease
You roll a number cube once.
What is the theoretical probability that you roll a 2 or 4? Enter your answer as a simplified fraction.Use/to write your fraction.
The probability that you roll a 2 or 4 is
Answer:
Step-by-step explanation:
Probability of a 2 = 1/6
Probability of a 4 = 1/6
probability of a 2 or 4 = 1/6 + 1/6 = 2/6 = 1/3
[tex]\text{We need to find the probability of rolling a 2 or 4}\\\\\text{Rolling a 2 or 4 is our intended outcome}\\\\\text{Therefore, it would be 2 outcomes in our probability}\\\\\text{We also know that there are a total of 6 sides in a number cube}\\\text{This represents our total amount of outcomes}\\\\\text{With the information above, we would write our probability as:}\frac{2}{6}\\\\\text{You can simplify it by dividing by 2}\\\\\boxed{\frac{1}{3}}[/tex]
HELP PLEASE
If anyone can help I’m panicking
Answer:
8.5
Step-by-step explanation:
Because it have more pumpkins
Answer:
thatvis gizmo he says hi. .. :/ srry
A robot’s height is 1 meter 20 centimeters. How tall is the robot in millimeters?
Answer:
1200 millimeters
Step-by-step explanation:
The music teacher has a list of 128 students who have signed up for music classes. The music teacher can register 6 students in each class. What is the least number of classes needed for all the students to be registered in a class?
Answer:
24
Step-by-step explanation:
Divide 128 by 6 and get 23.3 but the .3 you need an extra class to fit the .3 in so add one class.
Simplify the given expression, using only positive
exponents. Then complete the statements that
follow
(x²y3)-1 72
(x-2y+z)2
x60, y#0, 2*0.
?
The exponent on x is
The exponent on y is
The exponent on z is
Answer: x=4 y=14 z=4
Step-by-step explanation:
On edge it is that
The required exponent on x is 4, the exponent on y is 14, and the exponent on z is 4.
What is simplification?Using math and algebraic principles, simplification entails removing pointless variables, factors, or operations from an expression. Getting an expression that is simpler to use, manipulate, or solve is the aim. For example, simplifying an algebraic expression might involve combining like terms, factoring, or using the distributive property.
Here,
To simplify the given expression, we need to use the rules of exponents:
= [(x²y³)⁻¹ / (x⁻²y²z)²]²
= [(1 / x²y³) / (x⁻⁴y⁴z²)]²
= [(1 / x²y³) * (x⁴ / y⁴z²]²
= x⁴ / y¹⁴z⁴
Therefore, the exponent on x is 4, the exponent on y is 14, and the exponent on z is 4.
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easy geometric shapes questions help please! they go together
7.solution
v=4/3πr^3
=4/3π×6^3
=4/3×216cm^3π
=288cm^3π
8.solution
SA=4πr^2
=4×6^2π
=4×36cm^2π
=144cm^2π
Soy bean type 1 yielded 125 bushels per acre last year at a research farm. This year, soy bean type 2, planted in the same location, yielded only 100 bushels per acre and there was a drought. The researchers do not know whether the difference is a result of the superiority of type 1 soy beans or the drought. What is this an example of?
Answer: confounding variables
Step-by-step explanation:
Confounding variables are outside influence that changes the effect of a dependent and independent variable. In this case the outside variable is the drought, which has changed the effects of the dependent and independent variables. This additional influence can be used to influence the outcome of an experimental result. Confounding variables can ruin an experiment and produce unwanted results.
Answer:
confounding
Step-by-step explanation:
