Answer:
m+g[tex]\leq[/tex]40
12m + 14g[tex]\geq[/tex]250
Step-by-step explanation:
Jordan is paid $12 per hour for mowing lawns and $14 per hour for planting gardens.
Let m represents the number of hours mowing lawns and g represents the number of hours planting gardens.
He can work a maximum of 40 hours per week, and would like to earn at least $250 this week.
Then, the system of the inequality becomes
m+g[tex]\leq[/tex]40
12m + 14g[tex]\geq[/tex]250
If pentagon OPQRS is dilated by a scale factor of from the origin to create O'P'Q'R'S', what is the ordered pair of point S'
Option (D) that is (3.5, 8.75) is the ordered pair of point S.
What is ordered pair?An ordered pair is a composite of the x coordinate (abscissa) and the y coordinate (ordinate), with two values expressed between parenthesis in a predetermined order. It aids visual comprehension by locating a point on the Cartesian plane. An ordered pair's numeric values can be integers or fractions. Two variables are frequently represented by ordered pairs. We mean x = 7 and y = -2 when we write (x, y) = (7, -2). The x-coordinate is the number that corresponds to the value of x, and the y-coordinate is the number that corresponds to the value of y.
Here,
The ordered pair of point S is option (D), which is (3.5, 8.75).
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Complete question: Pentagon OPQRS is shown on the coordinate plane below:
Pentagon OPQRS on a coordinate plane with ordered pairs at O negative 1, 2, at P negative 5, 3, at Q negative 3, negative 2, and R 2, 1, at S 2, 5.
If pentagon OPQRS is dilated by a scale factor of seven over four from the origin, to create O’P’Q’R’S’, what is the ordered pair of point S’?
It costs $3 to bowl a game and $2 for shoe rental Write an expression for the total cost (in dollars) of g games.
Answer: , P = 2 +3g
Step-by-step explanation:
LESSON 12-1 Properties of Translations Practice and Problem Solving : A / B
We found that translations have the following three properties: line segments are taken to line segments of the same length;
angles are taken to angles of the same measure; and. lines are taken to lines and parallel lines are taken to parallel lines.
Properties of Translations
- Distance Where the lengths of the segments stay the same.
-Angle Measures These remain the same.
-Parallelism Where the parallel lines will stay parallel.
-Collinearity The points will stay on the same line.
-Orientation The order of the letters will stay the same.
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1. s = 1/2(u+v)t
make u the subject and show the steps plz
2. p/2 = √t +r /9
make t the subject and show the steps plz
I NEED HELP ASAP!!!!!!!!
Answer:
(- 1, 9 )
Step-by-step explanation:
6x - y = - 15 → (1)
x + 2y = 17 → (2)
multiplying (1) by 2 and adding to (2) will eliminate y
12x - 2y = - 30 → (3)
add (2) and (3) term by term to eliminate y
13x + 0 = - 13
13x = - 13 ( divide both sides by 13 )
x = - 1
substitute x = - 1 into either of the 2 equations and solve for y
substituting into (2)
- 1 + 2y = 17 ( add 1 to both sides )
2y = 18 ( divide both sides by 2 )
y = 9
solution is (- 1, 9 )
Find the surface area and volume of the following figure. Round to nearest hundredth. Used 3.14
Answer:
Surface area of cylinder = 250.94 yd², Volume = 305.20yd³
Step-by-step explanation:
Formula for the total surface area of a cylinder is T. S. A. =2πrh+2πr²
T. S. A. =2πrh+2πr²
π=3.14 , h=7.1, r = 3.7
T. S. A. = 2(3.14)(3.7)(7.1) + 2(3.14)(3.7)²
T. S. A. = 250.94 yd²
----------------------------------------------------------------------------------------------------------------
V=πr²h
V = (3.14) (3.7)²(7.1)
V= 305.20 yd³
24
÷
6
+
39
÷
3
+
19
?
Answer:
36
Step-by-step explanation:
=4+13+19
=17+19
=36
Answer:
Pemdas
Step-by-step explanation:
24/6 = 4
39/3 = 13
4 + 13 + 19 = 36
How the addition of 2 and 2 become 5?
In the late 19th century, the Russian press used the phrase 2 + 2 = 5 to describe the moral confusion of social decline at the turn of a century, because political violence characterised much of the ideological conflict among proponents of humanist democracy and defenders of tsarist autocracy in Russia
For any of the vehicles listed in the table,
how many days can you rent the vehicle
before it would be less expensive to rent
for the week?
A person can rent any of the vehicles shown in the table for a minimum of two to three days before it becomes more expensive for a week.
Algebra state that it is the study of the laws and symbols of mathematics as well as the manipulation of these symbols.
The rent of the small car for a week is $250 and for a day is $100. Then,
The maximum number of days that a car could be rented is,
= 250÷100
= 2.5 days
≅ 3 days
Then, for the medium car is,
= 290÷110
= 2.7 days
≅ 3 days
For the luxury car is,
= 325÷120
= 2.7 days
≅ 3 days
For Small van is,
= 350÷150
= 2.3 days
≅ 2 days
For Large van is,
= 390÷170
= 2.2 days
≅ 2 days
We can conclude from the above calculations that a person can rent a car for 2-3 days before it becomes more expensive for a week.
The complete question is -
For any of the vehicles listed in the table, how many days can you rent the vehicle before it would be less expensive to rent for the week?
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Of the 6,960 balloons thrown in a water-ballon fight, 870 were red. At this rate, how many balloons out of 48 would be red? WRITE JUST THE ANSWER WITHOUT UNITS
At this rate, the ratio or proportion of red balloons to the total balloons, the number of red balloons out of 48 is 6.
What is proportion?Proportion describes the two or more ratios equated to each other.
Proportions are depicted as fractional values in decimals, fractions, or percentages.
In this situation, we equate the ratio or proportion of red balloons to the sample to determine the number that will likely be red.
The total number of balloons thrown in a water balloon fight = 6,960
The number of the balloons that are red = 870
The proportion of the red balloons to the total = 0.125 or 12.5% (870/6,960)
In a sample of 48 balloons, the number of red balloons will be 6 (48 x 0.125)
Thus, out of 48 balloons, there are 6 red balloons at this constant rate.
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Operation with parenthee ,5 number , two different operation and ha a value of 20
The equation is (5 x 2) - (5 + 5) = 20
The given equation can be solved by performing the operations within the parentheses first.
First, 5 x 2 = 10, then 5 + 5 = 10.
Then, the next step is to subtract the second set of parentheses from the first set, 10 - 10 = 0.
Finally, we can see that 0 + 20 = 20.
In this equation, the operation of multiplication and addition are used and the final value is 20.
The equation is (5 x 2) - (5 + 5) = 20
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Complete Question is -
solve the following mathematical operation that involves parentheses, five numbers, two different operations and has a value of 20?
Classify each statement about the function f(x)=2x^3+8 as true or false.
The domain of the function is all real numbers.
The domain of the function is all real numbers.
The range of the function is (0, [infinity]).
The y-intercept is (0, 0).
The center of symmetry is (0, 8)
Statement A,B is true rest all statement are false about the given function.
Given the function: [tex]2x^3+8[/tex]
Statement A:
The domain of a function is the set of all possible input values (x-values) for which the function produces a valid output (y-value).
For the function 2x^3 + 8, the domain is all real numbers, which is represented as (-infinity, +infinity).
It is because the expression inside the function, 2x^3, is defined for all real numbers.
so above statement is true.
Statement B:
statement A and B are same so it's also true.
Statement C:
The range of a function is the set of all possible output values (y-values) that the function can produce.
For the function 2x^3 + 8, the range is also all real numbers (-infinity, +infinity)
It is because the function is a polynomial of odd degree (3) and it does not have any restriction on the output value. Since the function does not have any restriction, it can take any real number as an output value and thus the range is all real numbers.
so this statement is false.
Statement D:
The y-intercept of the function 2x^3 + 8 is 8. It is the point at which the graph of the function crosses the y-axis, which occurs when x = 0. So when x = 0, y = 2(0)^3 + 8 = 8.
so this statement if false.
Statement E:
A function has a center of symmetry if it is unchanged (i.e. is symmetric) when reflected across a line or point. The line or point across which the function is symmetric is called the axis of symmetry or center of symmetry.
The function 2x^3 + 8 does not have a center of symmetry. It is because the function is a polynomial of odd degree and it does not have any symmetry. The polynomials of odd degree are not symmetric about any point or line.
So this statement is also false.
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Margo borrows $700, agreeing to pay it back with 8% annual interest after 16 months. How
much interest will she pay?
After 16 months, Margo will pay $74.67 interest
We know that the simple Interest Formula
I = P × r × t
Where: P = Principal Amount
I = Interest Amount
R = Rate of Interest as a percent
r = Rate of Interest in decimal
r = R/100
t = Time Periods involved
Here we have been given P = $700, t = 16 months and R = 8%
First we convert interest rate R percent to r a decimal
r = R/100
= 0.08 per year,
Now we convert time from months to years .
16 months ÷ 12 months/year
= 1.333333 years,
Using above formula of simple interest,
I = P × r × t
I = 700 × 0.08 × 1.333333
I = $ 74.67
Hence, the simple interest accumulated on a principal of $ 700.00 at a rate of 8% per year for 16 months is $ 74.67.
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What is the sum of polynomials 7x 3 4x 2 )+( 2x 3 4x 2?
Therefore , the solution of the given problem of equation comes out to be 9x^3 - 8x^2.
Explain the equation.A mathematical equation is a formula that uses the equal sign (=) to connect two statements and express equality. A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the components 3x + 5 and 14 in the equation 3x + 5 = 14 are separated by an equal sign. The equal sign is a crucial part of mathematical formulas, especially equations. Algebra is frequently utilized in equations. Algebra is used in mathematics when it is difficult to determine a precise quantity.
Here,
Polynomial function total
Polynomial functions are those that have a leading degree of three or higher. given the total;
(7x^3-4x^2)+(2x^3-4x^2)
Expand => (7x 3-4 times) + (2x 3-4 times)
= > 7x^3-4x^2 + 2x^3-4x^2
assemble similar terms
=> 7x^3 + 2x^3 - 4x^2 -4x^2
=> 9x^3 - 8x^2
Therefore , the solution of the given problem of equation comes out to be 9x^3 - 8x^2.
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What is the value of X?
Help please!
Answer:
(11√3)/3
Step-by-step explanation:
In order to solve for the variable, you will need to use a trig function. In this case, you will need to use the trig function tangent.
Tan = opposite/adjacent
⇒ Tan 30° = x/11
⇒ 11 · Tan 30° = x
⇒ (11√3)/3 = x
2+2/3x=3/7 rewritten no fractions
Answer:
x = 3.1 as a decimal or x = 28/9 as a fraction
Step-by-step explanation:
two cards are chosen at random from a deck of 52. what is the probability that both cards are numbers (2 through 10) totaling to 12
The probability is 0.3845.The probability of anything occurring is known as probability.
How are probabilities calculated?The probability of anything occurring is known as probability. To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur.The likelihood or chance that a specific event will occur is represented by a probability. Both proportions between 0 and 1 and percentages between 0% and 100% can be used to describe probabilities.To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur.Explanation:
2/52 * 10/52 = 20/52 = 0.3845.
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Kisha saved $12.00 when buying a coat.the coat was on sale 30%off. What’s was the original price of the coat
Answer:
$40
Step-by-step explanation:
36 dollars. bc if its 30 percent then its less than half:)
Samera placed the congruent sides of these two triangles together to form a quadrilateral.
2 triangles are connected at one side. One triangle has angles 25 degrees, 125 degrees, 30 degrees. The other triangle has angles 30 degrees, 60 degrees, and 90 degrees.
Which statements are true of the quadrilateral she constructed? Select three options.
It is a rectangle.
It is a trapezoid.
It has only one right angle.
It has two right angles.
It has two sides that are parallel.
The correct statements are It is a trapezoid, It has only one right angle, It has two sides that are parallel.
What is a trapezoid?A quadrilateral with at least one pair of parallel sides is called a trapezoid.
Given that, Samara placed the congruent sides of these two triangles together to form a quadrilateral.
2 triangles are connected at one side. One triangle has angles 25 degrees, 125 degrees, 30 degrees. The other triangle has angles 30 degrees, 60 degrees, and 90 degrees.
If we construct such quadrilateral, we will get a trapezoid with one angle a right angle.
Hence, the correct statements are It is a trapezoid, It has only one right angle, It has two sides that are parallel.
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Answers:
1. B its a trapezoid
2. D it has two right angles
3. E it has 2 sides that are parallel
Step-by-step explanation:
1. You may get up to 35 gallons of gas at a time at the gas station. What inequality is that?
The inequality is x ≤ 35, where x represents the amount of gas in gallons.
This question means by the statement that we have been given that the number of gallons cannot exceed 35 so it actually means that they are either 35 or less than 35. so will use < = sign to come up with this equation.
You can have up to 35 gallons of gas at a time at the gas station. The inequality x ≤ 35 represents the fact that x (the amount of gas in gallons) is less than or equal to 35.
This means that the equation will be x≤35
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Mr Espinoza randomly chooses one of five toll booths when entering a toll road when driving to work. What is the probability he will select the middle toll booth on Monday and Tuesday
The probability that Mr. Espinoza will select the middle toll booth on Monday and Tuesday is 8%.
What is the probability?Probability refers to the odds of Mr. Espinoza selecting the middle toll booth on Monday and Tuesday when he could have selected toll booths 1, 2, 4, or 5.
The chances of selecting one out of five toll booths = 1/5 or 0.2
The likelihood of Monday and Tuesday out of the five working days = 2/5 or 0.4
The probability of selecting the middle toll booth on Monday and Tuesday = 1/5 x 2/5
= 0.2 x 0.4
= 0.08
= 8%
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The side of a square is 2.5 find its perimeter and area
Answer:
perimeter = 10
area = 6.25
Step-by-step explanation:
Every square has four equal sides. If we know one side is 2.5, then all sides are 2.5.
2.5*4 = 10
To find the area of a square you multiply the height and length. Since all sides of a square are the same, you just multiply 2.5 with itself.
2.5*2.5=6.25
What is the value of x in the equation 2.5 6x 4 )= 10 4 1.5 0.5 x?
The value of x in this problem is 2.
Our given algebraic equation is 2.5 ( 6x - 4 ) = 10 + 4 ( 1.5 + 0.5x) and in this, we have to find the final value of x.
Use the transposing method to isolate the variable x and then solve for it.
distribute brackets on both sides of the equation.
= 2.5*6x - 2.5*4 = 10 + 4*1.5 + 4*0.5x
= 15x - 10 = 10 + 6 + 2x
collect terms in x to the left side and numeric values to the right side.
= 15x - 2x = 10 + 6 + 10
= 13x = 26
= x = 26/13 = 2
Therefore the final value of x in this equation will be 2.
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There are 7 students participating in a spelling bee. In how many ways can the students who go first¸ second¸ third¸ and fourth be chosen?
Answer:
840
Step-by-step explanation:
7 * 6 * 5 * 4 = 840
The number of ways the student can be chosen as who goes first¸ second¸ third¸ and fourth is 840.
What is Permutation?Permutation helps us to know the number of ways an object can be arranged in a particular manner. A permutation is denoted by 'P'.
[tex]^nP_r = \dfrac{n!}{(n-r)!}[/tex]
where,
n is the number of choices available,
r is the choices to be made.
The number of ways the student can be chosen as who goes first¸ second¸ third¸ and fourth = ⁷P₄ = 840
Hence, The number of ways the student can be chosen as who goes first¸ second¸ third¸ and fourth is 840.
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Donovan flips a coin a total of 96 times. How many times should he expect the coin to land on heads? Donovan records the results of the next 50 flips. The results are shown in the table. Heads Tails 32 18 Based on Donovan's results, if he flips the coin an additional 75 times, about how many times should he expect the coin to land on tails?
When Donovan flips a coin a total of 96 times, the number of times he should expect the coin to land on heads will be 48 times.
The times he should expect the coin to land on tail based on the table will be 27 times.
How to illustrate the value?A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.
When Donovan flips a coin a total of 96 times, the number of times he should expect the coin to land on heads will be:
= 1/2 × 96
= 48
The number of times he should expect the coin to land on tail based on the table will be:
= 18/50 × 75
= 27 times
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Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options. 8(x2 + 2x + 1) = –3 + 8 x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot 8(x2 + 2x + 1) = 3 + 1 8(x2 + 2x) = –3
The three steps which Patel could use to solve the quadratic equation include the following:
A. 8(x² + 2x + (2/2)²) = -3 + 8.
B. x = -1 ±√5/8
E. 8(x² + 2x) = -3.
How to solve the quadratic equation?In order to solve the given quadratic equation, we would use the completing the square method as follows;
Separating the variables in the quadratic equation from constant, we have the following;
8x² + 16x + 3 = 0
8x² + 16x = -3
By factorizing the common variables in the quadratic equation from constant, we have the following;
8(x² + 2x) = -3 (step 1).
By completing the squares in the brackets and then balancing the expression on the right-hand side, we have the following;
8(x² + 2x + (2/2)²) = -3 + 8 (step 2).
8(x² + 2x + 1) = -3 + 8
8(x + 1)² = 5
Dividing both sides of the quadratic equation by 8, we have the following;
(x + 1)² = 5
Taking the square root of both sides of the quadratic equation, we have the following;
(x + 1) = ±√5/8
x = -1 ±√5/8 (step 3).
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help pls! Given m||n, find the value of x.
(4x-6)
(8x-6)
Answer:
To find the value of x that makes the expression (4x-6) equal to (8x-6). To do this, you can set the two expressions equal to each other and solve for x:
4x - 6 = 8x - 6
4x = 8x
4x - 8x = 0
-4x = 0
x = 0
So, the value of x that makes (4x-6) equal to (8x-6) is x=0.
Answer:
-4x = -12 Divide each side by '-4'.
what can 15 and 3 both be divided by
Answer: 15 and 3 can both be divided by 3 and 1
Answer:
tres y uno
Step-by-step explanation:
it takes 32 pounds of seed to completely plant a 5 -acre field. How many acres can be planted per pound of seed?
The number of acres that can be planted per pound of seed is 0.16.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
32 pounds = 5-acre field
Divide 32 into both sides.
1 pound = 5/32 acre field
1 pound = 0.16 acre field
Thus,
0.16-acre field can be planted per pound of seed.
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NEED HELP ASAP
NO LINKS AND NO JUST SAYING HI, PLEASE ANSWER LEGITIMATELY!
THANK YOU!!!! <3
Answer:
x=55
Step-by-step explanation:
The angles are corresponding angles and corresponding angles are equal
3x-60 = x+50
Subtract x from each side
3x-60-x = x+50-x
2x-60 =50
Add 60 to each side
2x-60+60=50+60
2x=110
Divide by 2
2x/2 =100/2
x =55