arrange the following polynomial into descending order and identify the 3rd term -19x^2+2+4x^3-7x
a. -19x^2
b.2
c.4x^3
d.-7x
The length of a rectangle is 5cm more than its width. The perimeter of the rectangle is 46cm. Find the width and the length
The width of the rectangle is 9 cm, and the length is 14 cm.
Explanation:To find the width and length of the rectangle:
Let's assume that the width of the rectangle is x cm. According to the problem, the length of the rectangle is 5 cm more than its width, so the length would be x + 5 cm.
The perimeter of the rectangle is 46 cm. The formula for the perimeter of a rectangle is P = 2(w + l), where P is the perimeter, w is the width, and l is the length.
So, we can set up the equation: 46 = 2(x + (x + 5)).
Simplifying the equation gives us: 46 = 2(2x + 5).
Expanding the equation further gives us: 46 = 4x + 10.
Subtracting 10 from both sides of the equation gives us: 36 = 4x.
Dividing both sides of the equation by 4 gives us: x = 9.
Therefore, the width of the rectangle is 9 cm, and the length is 9 + 5 = 14 cm.
To find the width and length of the rectangle, set up an equation using the given information and solve for x. The width is 9 cm and the length is 14 cm.
Explanation:To solve this problem, we can set up an equation using the information given. Let's assume the width of the rectangle is x cm. Since the length is 5cm more than the width, it will be x + 5 cm. The perimeter of a rectangle is found by adding all its sides, so we have:
2(x + x + 5) = 46
Simplifying this equation gives us:
4x + 10 = 46
Subtracting 10 from both sides:
4x = 36
Dividing both sides by 4:
x = 9
Therefore, the width of the rectangle is 9 cm and the length is 9 + 5 = 14 cm.
Combine the like terms to make a simpler expression:
3z+2+(-5z)+6
The number of the day is 936,165
Pine Bluff Middle School is having its annual Spring Fling dance, which will cost $400. The student treasurer reported that the dance fund has $ 75 left over from last year. Each ticket to the dance costs $4. Let t represent the number of tickets sold. Write an inequality to determine how many tickets must be sold to pay for this year's dance.
solve for x 9x>-18 answer must be simplified
The coordinates of quadrilateral EFGH are E(4, 8), F(1, 2), G(6, 1), and H(8, 8). The image of EFGH under dilation is E'F'G'H'.
If the coordinates of vertex E' are (1, 2), what are the coordinates of vertex H'?
No pic is attached
A) (2, 8)
B) (5, 6)
C) (2, 2)
D) (4, 8)
E goes from (4,8) to (1,2) which equals a 1/4 scale factor ( put lower number over higher number so X = 1/4 and Y = 2/8 which reduces to 1/4)
so H needs to be reduced by 1/4
8/4 = 2
so new coordinate is (2,2)
Answer is C
Determine if each pair of ratios or rates are equivalent. Explain your reasoning.
15 out of 20 students own hand-help games;105 out of 160 own hand-held games
A rental company charges $15 plus $4 per hour to rent a bicycle. If Margie does not want to spend more than $27 for her rental, solve an inequality to determine how many hours she can rent the bicycle and not spend more than $27. Interpret the solution.
The number of hours she can rent the bicycle and not spend more than $27 is 3hours.
How to write an inequality equation?Total amount Maggie wants to spend = $27Fixed charge = $15Hourly charge = $4Number of hours = xThe inequality;
15 + 4x ≤ 27
4x ≤ 27 - 15
4x ≤ 12
x ≤ 12/4
x ≤ 3 hours
Therefore, the number of hours she can rent the bicycle and not spend more than $27 is 3hours
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The correlation coefficient r between the size of a lake in square miles, x, and the yearly number of registered boaters, y, is 0.743. What percent of the variation in the number of yearly boaters can be explained by differences in lake sizes? A.74.3% B.55.2% C.44.8% D.37.2% Algebra
The variation in any sample group is simply the square of the correlation coefficient, that is:
variation = r^2
Therefore given an r value, we can simply directly calculate for variation percentage.
variation = (0.743)^2
variation = 0.552 or 55.2%
Answer:
B. 55.2%
A shopper purchased 4 tables and 2 chairs for $200 and 2 tables and 7 chairs for $400. What is the cost of each table and each chair? And can you please explain the process using substitution please? Thanks.
the length of a cube is x centimeters. If x is an integer why can't the volume of the cube equal 15 cm cubed
The volume of a cube with a side length of x centimeters cannot equal 15 cm³ when x is an integer.
Explanation:The question asks why the volume of a cube with a length of x centimeters cannot equal 15 cm³ when x is an integer. In order to calculate the volume of a cube, we use the formula V = s³, where V represents the volume and s represents the length of a side. If x is an integer, the length of the cube can be any integer value.
However, when we substitute x = 15 into the formula, we find that the volume of the cube would be 15³ = 3375 cm³, which is not equal to 15 cm³. Therefore, the volume of a cube with a side length of x centimeters cannot equal 15 cm³ when x is an integer.
After the last stop on Mr. Tuttle’s route, the number of students on the bus is 3/4 of its full capacity. Once Mr. Tuttle has completed picking up all the students on his route, if no students have exited the bus, how many students could the remaining empty seats accommodate?
a student teacher rectangular desk is 30 inches long and 18 inches wide the teachers desk is similar to the student desk and has a length of 50 inches what is the width of the teachers desk ?
When can you carve out time to study each month or each week
A store manager ordered 402 baseball caps and 122 ski caps estimate the total number of. Apps the manager ordered
Does anyone know how to do 9 and 10 ???
Order the numbers from least to greatest 7.8 7.88 7.78 7.87 7.77
Jenna Is 4 Years Older Than Her Sister. The Sum Of Jenna's Age And Her Sister's Age Is 32. How Old Is Jenna?
write 3x+(2-4x) in standard form
I think the answer would be -1 + 2
Arliss has two pieces of carpet runner. One is 2 1/3 yards long and the other is 3 1/3 yards long. She needs 10 yards of carpet runner altogether. How much more does she need to buy?
How do you solve the system of linear equation by multiplying?
5x - 2y = 11
3x + 5y = 19
The solution set for the system of equations is (3, 2).
What is system of equations?In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought
Given is the system of equations -
5x - 2y = 11
3x + 5y = 19
Multiply Eq.{1} by 3 and Eq.{2} by 5, we get -
15x - 6y = 33
15x + 25y = 95
Now, performing Eq(2) - Eq(1), we get -
15x + 25y - 15x + 6y = 95 - 33
31y = 62
y = 2
x = 11 + 2y/5
x = 15/5
x = 3
Therefore, the solution set for the system of equations is (3, 2).
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In his will, Mr. Adams left 25% of his estate to his wife and unevenly divided the balance between his son and his daughter.If the son received $36,000 as his share, what was the total value of the estate?
Help! Eugene wants to buy jeans at a store that is offering a $10 discount on every item.the tag on the jeans is marked 50% off.the original price is $49.98.find the final cost if the 50% percent discount is applied before the $10 discount. B .find the final cost if the $10 discount is applied before the 50% discount
8.5+4(1-2.5k)=24.5 round to the nearest hundredth
What is 5 5/8 + 6 1/4
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36,204+40,918 estimate then find the sum
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2/3 + 1/4 + 4/8= Please help do next day. 50 points
2/3 + 1/4 + 4/8 =
find least common denominator and rewrite the fractions
lets use 24: 24/3 = 8, 24/4 = 6, 24/8 = 3
so 2/3 = 16/24
1/4 = 6/24
4/8 = 12/24
now add them together:
16/24 + 6/24 + 12/24 = 34/24 which becomes 1 and 10/24 reducing to 1 and 5/12