Examples of Algebra Word problems and their expressions are;
1) What is 9 increased by a number cubed?
9 + x³
2) What is the product of the sum of a number and five and the difference of a number and 5? (x + 5) * (x - 5)
How to create Algebra Word problems?
Algebraic word problems are defined as questions that require translation of sentences into equations, and after that, we now solve those equations. They usually contain a single variable that depicts an unknown quantity in a real-life scenario.
Examples of Algebra Word problems and their expressions are;
1) What is 9 increased by a number cubed?
9 + x³
2) What is the product of the sum of a number and five and the difference of a number and 5? This is expressed as;
(x + 5) * (x - 5)
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QUESTION 11:
Consider the graphed function. Based on its end behavior, which of the following could be its equation? (photo attached below):
A) f (x)= x^3 + 6x^2-5x
B) f (x)= -x^4 +6x^3 - 5x^2
C) f (x)= x^4 +6x^3-5x^2
D) f (x)= -x^3+ 6x^2-5x
QUESTION 12:
Divide x2 by x – 1. What is the value of the remainder?
A) 0
B) 1
C) -1
D) 2
What is the slope of the line represented by the equation y = x-31
3?
O-3
10 - 1/2
5
O 3
Answer:
slope = 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x - 31 ← is in slope- intercept form
with slope m = 1
The length and width of a rectangle are consecutive odd integers. The perimeter is 120 120 meters. Find the length and width
Answer: Width= 29 meters & Length= 31 meters
Step-by-step explanation:
Let, width= x and Length= x+2
Perimeter= 120 meters
Now, 2{x+(x+2)}= 120
⇒ x= 29
Width= 29 meters
Length= 31 meters
Quadrilateral a has side lengths 2,3,5 and 6. quadrilateral b has single length 4,5,8 and 10 could one of the quadrilateral be a scale copy of the other
Quadrilateral b, is not a scaled copy of Quadrilateral a.
The side length of Quadrilateral a=2,3,5, and 6.
The side length of Quadrilateral b=4,5,8 and 10
Now comparing the Ratio of the Corresponding Sides of two quadrilaterals a and b
2/4 ≠ 5/8
3/5 ≠ 6/10
Since the ratio of corresponding opposite sides is not equal. The two Quadrilateral are Not Similar.
So, We can say that Quadrilateral b, is not a scaled copy of Quadrilateral a.
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on a number line, suppose point e has a coordinate of , and eg. what are the possible coordinates of point g? question content area bottom part 1 the possible coordinates for g are
The possible coordinates of point G on this number line are either -10 or 14.
What is a number line?A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numerical values that are placed at equal intervals along its length.
Given the following data:
E = 2.
EG = 12.
On this number line, the coordinate of EG is given by this mathematical expression:
EG = |E - G|
Substituting the given parameters into the expression, we have;
12 = |2 - G|
2 - G = ±12
G = 2 ± 12
Simplifying and evaluating the above expression, we have:
G = 2 + 12
G = 14.
OR
G = 2 - 12
G = -10
Therefore, the possible coordinates of point G on this number line are either -10 or 14.
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Complete Question:
On a number line, suppose point E has a coordinate of 2, and EG= 12. what are the possible coordinates of point G?
HELP ASAP I DON'T UNDERSTAND
Answer:
-2
Step-by-step explanation:
I did the math, trust me. Just input -2 into the x's and solve.
Answer:
D. x = -6
( 3x-6² - 30x-6 - 72 = 0 )
Step-by-step explanation:
So first you work out:
3x² = ( 3 x -6²) = -108
Then work out 30x = ( 30 x -6 ) = -180
-108 - -180 => 72
Then just do 72 - 72 =
Which would be 0! ☆*:.｡.o(≧▽≦)o.｡.:*☆
hope this helped! xx
I need help bc I got this one wrong twice lol.
The answer is H, B and C; And Z, K and R
Step-by-step explanation:
H, B and C; And Z, K and R form a straight line
5×62+6×33-68 (help pls I need it
Answer:
440
Step-by-step explanation:
To do this problem, you have to follow the PEMDAS order.
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
We have to do 5x62 first, which is 310. Next, we multiply 6 and 33, which gets us 198. Then, we add 310 to 198, which is 508. Finally, we subtract 68 from 508 to get 440.
Hope this helps!
Have a wonderful day! :D
the lengths of plate glass parts are measured to the nearest tenth of a millimeter. the lengths are uniformly distributed with values at every tenth of a millimeter starting at 590.1, and continuing through 590.9. determine the mean and variance of the lengths. (a) mean round your answer to two decimal places (e.g. 98.76). (b) variance round your answer to three decimal places (e.g. 98.765)
The mean and variance of the lengths are 590. 50 and 0. 075 respectively
How to determine the valuesGiven that the lengths are;
590.1, 590. 2, 590. 3, 590. 4, 590. 5, 590. 6, 590. 7 , 590. 8, 590. 9
Mean = sum of terms/ number of terms
Mean = 590.1 + 590. 2 + 590. 3 + 590. 4 + 590. 5 + 590. 6 + 590. 7 + 590. 8 + 590. 9/ 9
Find the sum of the numerator
Mean = 5314. 5/ 9
Mean = 590. 500
Variance = sum of the distances from the mean/ total number - 1
Variance = (590. 1 - 590. 5)² + (590. 2 - 590. 5)² + (590. 3 - 590. 5)² + (590. 4 - 590. 5)² + (590. 5 - 590. 5)² + (590. 6 - 590. 5)² + (590. 7 - 590. 5)² + (590. 8 - 590. 5)² + (590. 9 - 590. 5)² ÷ 9 - 1
Variance = 0. 16 + 0. 09 + 0. 04 + 0. 01 + 0 + 0. 01 + 0. 04 + 0. 09 + 0. 016 ÷8
Variance = 0. 6/ 8
Variance = 0. 075
Thus, the mean and variance of the lengths are 590. 50 and 0. 075 respectively
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Solve the following inequality X-5 > 25
1. -20
Answer: x>10
Step-by-step explanation:
X-5 > 25-20
x-5+5>5+5
x>5+5
x>10
lincoln high wants to estimate the number of seniors who plan to go to a 4-year college. answer the following.
(1) Option A (25 glee club members are randomly selected; 16 plan to go to a 4-year college.) would probably best represent the entire population of seniors.
(2) 416 seniors would be planning to attend a four-year university, by unitary method.
What is unitary method?A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.
Now,
(1) Since Option A has a larger fraction ([tex]\frac{16}{25} > \frac{14}{25} > \frac{13}{25}[/tex]), it is probably the only one that best represents the majority of the people.
(2) As seen from Part (1),
Out of 650 seniors, around 416 will go to a 4-year college as, by unitary method:
For every 25 members, 16 plan to go to 4-year college
For every 650 members, [tex]\frac{16}{25}(650)=416[/tex] will plan to go to 4-year college.
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(COMPLETE QUESTION:
Lincoln High wants to estimate the number of seniors who plan to go to a 4-year college. 1) Which of the following surveys probably would best represent the entire population of seniors? a) 25 glee club members are randomly selected; 16 plan to go to a 4-year college. b) 25 honor roll students are randomly selected from the senior class; 14 plan to go to a 4-year college. c) 25 seniors are randomly selected; 13 plan to go to a 4-year college. 2) There are 650 seniors at Lincoln High. Using your answer from part (a), estimate the number of seniors who plan to go to a 4-year college.)
f(x)=−x
2
+8x+14
\text{Find }f(-8)
Find f(−8)
The value of the function f(-8) if f(x) = -x^2 +8x + 4 is f(-8) = -124
How to evaluate the function?The equation of the function is given as
f(x) = -x^2 +8x + 4
The expression f(-8) means that x = -8
So, we have:
f(-8) = -(-8)^2 + 8(-8) + 4
Evaluate the exponent and the product
f(-8) = -64 - 64 + 4
Evaluate the sum and the difference
f(-8) = -124
Hence, the value of the function f(-8) if f(x) = -x^2 +8x + 4 is f(-8) = -124
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The length and width of a rectangle are consecutive odd integers. The perimeter of the rectangle is 80 centimeters. Find the length and width of the rectangle.
The length and width of the rectangle are 21cm and 19cm.
How to calculate the value?Let the dimensions be represented by x and x+2.
The perimeter of a rectangle is:
= 2(length + width)
= 2(x + x+2) = 80
2x + 2x + 4 = 80
4x + 4 = 80
4x = 80 - 4
4x = 76
Divide
x = 76/4
x = 19
Therefore, the second number will be:
= 19 + 2 = 21
The numbers are 19 and 21.
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-4 1/3 divided by 2 1/5
Answer: -1.9696969696969696969696
Step-by-step explanation:
Answer:
Exact form: -65/33
Decimal form: -1.96
Mixed number: - 1 32/33
Step-by-step explanation:
Complete the statement to describe the expression ab + cdab+cda, b, plus, c, d.
The expression consists of
terms, and each term contains
factors
The expression contains FOUR terms, each with TWO factors.
What are expressions?In mathematics, an expression is a sentence that contains at least two numbers or variables and at least one mathematical operation. This math operation can be addition, subtraction, multiplication, or division. An expression has the following structure: The expression is (Number/variable, Math Operator, Number/variable).Expression information: In algebra, the word term defined the single numbers(10), variables(y), and the product of the two (10y).
In the following expression: ab+cd+ef+ghThere are four terms:
abcdefghA factor is a component of a product.
For the given equation, we will have four terms, each with two factors.Therefore, the expression contains FOUR terms, each with TWO factors.
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The correct question is given below:
Complete the statement to describe the expression ab+cd+ef+ghab+cd+ef+gha, b, plus, c, d, plus, e, f, plus, g, h. The expression consists of ----- terms, and each term contains ----- factors. Please fill in the blanks!
The length of each side of the base of a regular octagonal prism is 6 inches, and the height is 11 inches. Find the lateral area.
The lateral area of the regular octogonal prism is 528 square inches.
How to determine the lateral area of a regular octogonal prism
Regular octogonal prisms has two regular octogonal base sides and eight rectangular lateral sides. In this problem we must look for the sum of the areas of the eight rectangular lateral sides, where each area is equal to the product of base side (l) and height (h), both in inches. Then,
A = l · h
A = (6 in) · (11 in)
A = 66 in²
A' = 8 · A
A' = 8 · (66 in²)
A' = 528 in²
The lateral area of the regular octogonal prism is 528 square inches.
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How did the values compare the greatest 1/4 -1 1/4 -2 1/4 -1 3/4 -2 1/4
The values compared to the greatest :
-2 1/4,-1 1/4,-1 3/4, 1/4
Comparing and ordering fractions is an essential part of developing a sense of numbers. This is also an essential skill to have when facing practical questions, such as:
"Would you like to have {\displaystyle {\frac{3}{4}}}{\frac{3}{4 }} d 'a pizza does not, or {\displaystyle {\frac{6}{7}}}{\frac{6}{7}} of a pizza?" There are several ways to compare and order fractions. If you have a calculator, the fastest way is to convert fractions to decimals. If you don't have a calculator, you can make comparisons easily by finding a common denominator or simply using your reasoning skills and what you already know about fractions.
In this way, the given fractions are compared from largest to smallest
-2 1/4,-1 1/4,-1 3/4, 1/4
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Perform the following operation
and express the answer in
scientific notation.
4.3x1027.0×10²
[?]×10]
Answer:
[tex]4.4161 \times 10 ^{2} [/tex]
[tex]4.3 \times 1027 \times 10 { \\ \\ }^{2} [/tex]
[tex]4416.1 \times 10^{2} [/tex]
[tex]4.4161 \times 10 ^{2} [/tex]
Which sum or difference is modeled by the algebra tiles
Answer:
The answer is C
Step-by-step explanation:
First there are 2x first then there are other x's then two 1 equals 2
O Caden is paid 6.5% commission on his
sales or a salary of $185, whichever is
higher. Find his earnings if his sales are
$3.790.
Answer:
Do you have a picture or anything to show the problem? I am having a hard time understanding what you have wrote.
Step-by-step explanation:
The ninth-grade teachers at Lincoln High School are buying ice cream for an end-of-year ice
cream social. They estimate the 160 students will eat about 2 scoops of ice cream each. If
the average scoop of ice cream is 0.5 cups, how many gallons of ice cream should the
teachers buy?
Hint: There are 16 cups in 1 gallon.
Write your answer as a whole number, decimal, or simplified fraction. Do not round.
The teacher should buy 10 gallons of ice cream.
The total number of students is 160.The estimated number of scoops for each student is 2.The total number of scoops of ice cream required is the product of the total number of students and the estimated number of scoops per student.The total number of scoops of ice cream required is 160*2.The total number of scoops of ice cream required is 320.The number of cups filled by an average scoop of ice cream is 0.5.The total number of cups needed to accommodate 320 scoops of ice cream is 0.5*320.The total number of cups needed to accommodate 320 scoops of ice cream is 160.The number of gallons in 16 cups is 1.The number of gallons in 1 cup is 1/16.The number of gallons in 160 cups is 160*(1/16).The total number of gallons is 10.To learn more about numbers, visit :
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Answer:
The answer is 10
Step-by-step explanation:
a car is moving at a rate of 65 miles per hour, and the diameter of its wheels is 2 feet. (a) find the number of revolutions per minute the wheels are rotating.
The revolution per minutes of the wheels rotation is 912 rev/ min
How to determine the number of revolutionsGiven the parameters;
Velocity = 65 miles per hourDiameter = 2 feetConvert the velocity
[tex]v = 65mph = 65 mil/h - (1609m/mil0/(3600s/h)[/tex]
v = 29. 1 m/s
Let's find the circumference
Circumference = 2 π r
radius = diameter/ 2 = 0. 6096 meters/ 2 = 0. 30 meters
Circumference= 2 × 3. 142 × 0. 30 = 1. 915
Number of revolutions = 29. 1/ 1. 915 = 15.2 rev/ sec
Let's convert to rev/ min
= 15. 2 × 60
= 912 rev/ min
Thus, the revolution per minutes of the wheels rotation is 912 rev/ min
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The vertex of ∠A B C is located at the origin. Point A is located at (5,0) and Point C is located at (0,2). How can ∠A B C be classified?
A. acute
C. right
B. obtuse
D. scalene
As the angle is greater than 0° and less than 90°, then the angle ABC is acute. (Answer: A)
How to determine the features of an angle set on Cartesian plane
Herein we find the locations of the three vertices of the figure, of which we must determine the lengths of the two sides of the angle and determine the value of the angle by trigonometry:
BA = 5, BC = 2
θ = tan⁻¹ (BA / BC)
θ = tan⁻¹ (5 / 2)
θ ≈ 68.199°
As the angle is greater than 0° and less than 90°, then the angle ABC is acute. (Answer: A)
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if 1/3 of a gallon of paint covers 1/8 of a wall, how much paint is needed to cover the entire wall?
Answer:
8/3 or 2 2/3 gallons
Step-by-step explanation:
1/3 of gallon covers 1/8 of a wall, therefore, the amount of pain is needed to cover the entire wall is 1/3 x 8 = 8/3 or 2 2/3 gallons
“What is the geometric relationship between the labels angles? What is the relationship of their measures? Then use the relationship to write an equation and solve for x!”
Using complementary and supplementary angles, we have that:
c. The angles are complementary, hence the equation is 4x - 3 + 2x + 1 = 90 and the solution is x = 15.33.
d. The angles are supplementary, hence the equation is 43x + 16 + 110 = 180 and the solution is x = 18.
What are complementary angles?When the measures of two angles add to 90º, the angles are complementary.
This is the case in item c, hence:
4x - 3 + 2x + 1 = 90
6x = 92
x = 92/6
x = 15.33.
What are supplementary angles?When the measures of two angles add to 180º, the angles are supplementary.
This is the case in item d, hence:
3x + 16 + 110 = 180.
3x = 54
x = 54/3
x = 18.
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which expression can be used to calculate the rate per minute at which the air freshener dispenses sprays? fraction 30 over 6
Expression of the rate per minute at which air freshener dispenses sprays is equal to fraction 4 over 30.
As given,
The graph represents
x-axis: Time in minutes
y-axis: Number of sprays
Ordered pairs ( 30,4) ,(60, 8) ,( 90,12), and ( 120, 16)
Consider any two points ( 90,12) ,(120 , 16)
Expression of the rate per minute=( y₂ -y₁)/(x₂ -x₁)
=( 16 - 12)/(120 -90)
= 4/30
Therefore, expression of the rate per minute at which air freshener dispenses sprays is equal to fraction 4 over 30.
The complete question is :
The graph shows the number of sprays an automatic air freshener dispenses, y, in x minutes: A graph is shown. On the x-axis, the values are from 0 till 150 in increments of 30 for each grid line, and on the y-axis, the values are from 0 to 20 in increments of 4 for each grid line. The title of the graph on the x-axis is Time in minutes, and the title on the y-axis is Number of Sprays. A line is shown connecting ordered pairs 30, 4 and 60, 8 and 90, 12 and 120,16. The title for the graph is Dispense Rate. Which expression can be used to calculate the rate per minute at which the air freshener dispenses sprays?
fraction 4 over 30
fraction 30 over 4
fraction 30 over 16
fraction 16 over 30
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Write an expression to represent Vivian's change in elevation from -9.6 feet at the bottom of the Ferris wheel to 12.3 feet at the top.
The change in the elevation from the bottom of the Ferris is 21.9 feet.
What is defined as the change in elevation?Elevation change refers to the difference in elevation between the beginning and end of your route.
Given that the distance travelled by Vivian just at bottom of the elevation is -9.6 feet.
The distance traveled by Vivian at the top of the elevation is 12.3 feet.
Vivian's shift in elevation would be expressed as the difference between the elevations at the bottom and top.
Let Ei be the initial elevation of -9.6 feet.
Ef = 12.3 feet as the final elevation
Change in elevation;
ΔE = Ef - Ei
ΔE = 12.3 - (-9.6)
ΔE = 12.3 + 9.6
ΔE = 21.9 feet
Therefore, the change in the elevation is found to be 21.9 feet.
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A gardener is planting flowers and would like for them to be in even rows. he has 24 rose bushes and 28 tulips. what is the greatest number of plants he can have in each row to keep the rose bushes and tulips in their own rows?
The required solution is,
1. Gardner can put a maximum of 4 flowers in each row
2. At 150 minutes both the student will meet each other
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
1. For the planting of trees in even rows,
The greatest number of plants he can have in each row to keep the rose bushes and tulips in their own rows,
Taking HCF of number of plants 24 and 28
HCF of 24 and 28 is 4
Thus, Gardner can put a maximum of 4 flowers in each row.
2.
Time taken by the first student to complete one lap is 25 minutes,
So,
1 lap = 25 minute
1 minute = 1 / 25 lap
For the second student,
1 lap = 30 minute
1 minute = 1/30 lap
At time x minute both will meet each other,
x/25 -x/30 = 1
5x/750 = 1
x = 750/5
x = 150 minute
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Answer:
4
Step-by-step explanation:
What is the slope of segment AB?
answer:
3/8
explanation:
(m/n)
count units from point a and b vertically, that is m.
count units from point a and b horizontally, that is n.
Bro help me this is 100 points
Answer: 145 minutes ==> 3rd option
Step-by-step explanation:
2*(45-10)+3*(30-5)=
2*35+3*25=
70+75=145 minutes ==> 3rd option
Answer:
145
Step-by-step explanation:
45 × 2 = 90
10 × 2 = 20
90 - 20 = 70
70
30 × 3 = 90
5 × 3 = 15
90 - 15 = 75
75
70 + 75 = 145
145