Answer:
you will save $3.69
Step-by-step explanation:
You save 20% of the marked price on each of the three books. Your savings are ...
$8.50 × 0.20 = $1.70$2.95 × 0.20 = $0.59$7.00 × 0.20 = $1.40Then the total savings is ...
$1.70 +0.59 +1.40 = $3.69 . . . total savings
__
It can be easier to do the addition first:
($8.50 +2.95 +7.00) × 0.20 = $18.45 × 0.20 = $3.69 . . . total savings
Jayden’s family is going to Magic Mountain Amusement Park. It is 320 miles. They drive at an average speed of 64 miles per hour on highway. How long will it take Jayden’s family to get to the park?
The unknown quantity, equation, and the answer in a complete sentence.
Answer:
5 hours
Step-by-step explanation:
You can use a simple equation for this problem, speed times time is distance. s * t = x. In this case, the distance, x, is 320 and the speed, s, is 64. We can move the s from the equation around and get t = x/s. So time = 320/64 which is 5 hours.
Derek has a white cube and a red cube.
The numbers 1 to 6 are on the cubes. If
Derek tosses the cubes at the same time,
what is the probability he will get a 4 on
the white cube and a number greater than
4 on the red cube?
Answer:
1/72
Step-by-step explanation:
Probability of getting a 4 on white cube is:
P(W) · P(4) = 1/2 × 1/6 = 1/12
P(R) · P(>4) = 1/2 × 2/6 = 1/6
multiply both probabilities: 1/12 × 1/6 = 1/72
Doesthepoint(1, 1)satisfytheinequality6x + 3y > 9?
Answer:
No
Step-by-step explanation:
The point (1,1) is equal to 9 which does not satisfy the inequality
(7m - 2) (9m — 5)
(6n-1)
Answer:
Step-by-step explanation:
(7m - 2) the two would instantly become a negative so the answer would be 7m + -2.
same goes for (9m - 5) the five will become a negative and the answer would be 9m + -5.
Same also goes for (6n - 1) the one would become a negative so the answer would be 6n + -1. Your welcome!!!!!!!!!
Determine algebraically the number of cats and the number of dogs Bea initially had in her pet shop.
The equation or system of equations that can be used to determine the number of cats and dogs Bea has in her pet shop is d = 2c - 5 d + 3 = c + 3. We can solve the system of equations using substitution and plug it back into either equation to find the value of d, which is 8 cats and 10 dogs.
How will we determine the number of cats and doge Beas initially had in her pet shop?The equation or system of equations that can be used to find the number of cats and dogs Bea has in her pet shop is:
d = 2c - 5
d + 3 = c + 3
No, Bea's Pet Shop could not initially have 15 cats and 20 dogs. This is because the equation or system of equations states that the number of dogs is five less than twice the number of cats, which would mean that 15 cats would result in 25 dogs, which is not equal to 20.
To determine algebraically the number of cats and the number of dogs Bea initially had in her pet shop, we can use the equation or system of equations that we previously created.
d = 2c - 5
d + 3 = c + 3
We can solve the system of equations using substitution:
d = 2c - 5
d + 3 = c + 3
d + 3 = c + 3
d = c + 3
2c - 5 = c + 3
2c = c + 8
c = 8
Once we determine the value of c, we can plug it back into either equation to find the value of d:
d = 2(8) - 5
d = 15 - 5
d = 10
Therefore, Bea initially had 8 cats and 10 dogs in her pet shop.
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The complete question is: At Bea's Pet Shop, the number of dogs, d, is initially five less than twice the number of cats, c. If she decides to add three more of each, the ratio of cats to dogs will be – Write an equation or system of equations that can be used to find the number of cats and dogs Bea has in her pet shop. Could Bea's Pet Shop initially have 15 cats and 20 dogs? Explain your reasoning. Determine algebraically the number of cats and the number of dogs Bea initially had in her pet shop.
The diagonals of kite KITE intersect at point P. If TKE= x+6 and IEK= 2x, find IKE
The length of IKE is 2x - 12.
What is equation?A condition on a variable that is true for just one value of the variable is called an equation.
Since KITE is a kite, we know that KT = IT and KE = IE. Let's call the length of these diagonals d. Then we have:
KT + TI = d
KE + EI = d
Substituting in the given values, we get:
x + 6 + 2x = d
2x + IE = d
Solving for d in the first equation, we get:
3x + 6 = d
Substituting this into the second equation, we get:
2x + IE = 3x + 6
Solving for IE, we get:
IE = x + 6
Therefore, IKE is equal to:
IKE = IT - IE
IKE = (d - KT) - (x + 6)
IKE = (3x + 6 - x - 6) - (x + 6)
IKE = 2x - 12
So, the length of IKE is 2x - 12.
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f depression is normally distributed among students, the psychologists can expect approximately 2/3 of the students to have depression scores that fall between which transformed z scores?
Psychologists can expect approximately 2/3 of the students to have depression scores that fall between the transformed z-scores of -1 and 1, assuming depression scores among students are normally distributed. These z-scores represent a range within one standard deviation below and above the mean of the distribution.
If depression scores among students are normally distributed, psychologists can expect approximately 2/3 of the students to have depression scores that fall between the transformed z-scores of -1 and 1.
In a standard normal distribution, 68% of the data falls within one standard deviation (z-score) of the mean. Since the standard normal distribution has a mean of 0 and a standard deviation of 1, this means that approximately 34% of the data falls below -1 (z-score less than -1) and approximately 34% falls above 1 (z-score greater than 1).
To calculate the range of transformed z-scores that include approximately 2/3 (66.6%) of the data, we need to find the range that covers the central 66.6% of the distribution.
This would correspond to approximately -1 standard deviation (z-score) below the mean (-1) and approximately 1 standard deviation above the mean (1). Thus, psychologists can expect approximately 2/3 of the students to have depression scores falling between z-scores of -1 and 1.
Therefore, the transformed z-scores that encompass approximately 2/3 of the students' depression scores are -1 and 1.
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If $18,000.00 is invested in an account for 10 years. Find the value of the investment at the end of 10 years if the interestis:(a) 5% simple interest:(b) 5% compounded monthly:
Principal =P = $18,000
time = T = 10 years
(a) Simple interest
SI = P x R x T
Where:
R = simple interest in decimal form = 5/100= 0.05
SI = 18,000 x 0.05 x 10 = $9,000
Value of investment = 18,000 + 9,000 = $27,000
(b) compounded monthly
A = P (1 + r/n )^nt
Where:
A= future amount
n = number of compounding periods per unit t = 12
A= 18,000 (1 + 0.05/12)^12*10
A= $29,646.17
A system of two linear equations in two variable has no solution, if their graphs
a. coincide
b. cut the x-axis
c. do not intersect at any point
d. intersect only at a point
A system of two linear equations in two variables has no solution if their graphs c. do not intersect at any point.\
When a system of two linear equations in two variables has no solution, it means that there is no point of intersection between the two lines represented by the equations. This means that the lines are parallel, and do not intersect at any point. This is also known as an inconsistent system. On the other hand, if the two lines intersect at exactly one point, it is a consistent system and has a unique solution. If the two lines are coincident, it will have infinitely many solutions.
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estimate the air pressure inside a category 5 hurricane, where the wind speed is 300 km/h. 5, where the wind speed is 300 km/h
The air pressure inside a category five hurricane with a wind speed of 300 km/h can be estimated using Bernoulli's equation.the atmospheric pressure is 20.96 atmospheres,
Bernoulli's equation states that the pressure inside the hurricane is equal to the density of the air multiplied by the wind speed squared, divided by two.
In this case, the air pressure can be calculated to be 20.96 atmospheres. density of the air can be taken to be 1.29 kg/m³ . This demonstrates that the air pressure inside a category 5 hurricane with a wind speed of 300 km/h is very high, which is why these storms are so destructive.
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50 POINTS ANYONE THAT HELPS
Solve the inequality 171 > -6x, and graph the solution. What does the graph look like? an open circle at –28.5 and an arrow pointing right an open circle at –28.5 and an arrow pointing left an open circle at 28.5 and an arrow pointing right an open circle at 28.5 and an arrow pointing left
Answer:
see below
Step-by-step explanation:
When we simplify we get x > -28.5 (since dividing an inequality by a negative number flips the sign). Therefore its graph would be an open circle at –28.5 and an arrow pointing right.
Answer:
A
Explanation:
It is easy (Not trying to be mean)
what is 592 .962 rounded to the nearest tenth
Answer:
593.0
Step-by-step explanation:
If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.
The 9 is in the tenth place, so we look to the 6 to find the answer. Since 6 is over 5, we will round up. The number after .9 is 1.0, but 1.0 cannot fit in one decimal place. So then, you add the 1.0 to the 592 to get 593.0
help asap if you can pls!!!!!!
The following statements can be concluded if ∠ABC and ∠CBD are a linear pair:
B. ∠ABC and ∠CBD are supplementary.
D. ∠ABC and ∠CBD are adjacent angles.
What is the linear pair theorem?In Mathematics, the linear pair theorem states that the measure of two angles would add up to 180° provided that they both form a linear pair. This ultimately implies that, the measure of the sum of two adjacent angles would be equal to 180° when two parallel lines are cut through by a transversal.
According to the linear pair theorem, ∠ABC and ∠CBD are supplementary angles because BDC forms a line segment. Therefore, we have the following:
∠ABC + ∠CBD = 180° (supplementary angles)
m∠ABC ≅ m∠CBD (adjacent angles)
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How can you distinguish if the solution is one value, all real numbers, or no solutions?
Answer:
If x can only have one answer, then the solution is one value. If x can be all real numbers, then the solution is all real numbers. And if x doesn't have an answer then it has no solution.
Step-by-step explanation:
For example:
One value: 7 + x= 10 => x= 3
All real numbers: 0x=0 => x can be all real numbers
No solutions: 7x=6x => no solutions
Based on a mathematical equation, and the content of the question, there are various ways to determine the outcome of the solution, this includes knowing the type of equation and the connection between equation components.
What is a mathematical solution?The mathematical solution is a term that ks used to describe the assignment of values to the unknown variables that make the equality in the equation true.
Generally, the mathematical solution is a value or a collection of values such that, when substituted for the unknowns, the equation becomes equal.
Hence, to determine if an equation has one solution or no solutions, consider the following factors.
Type of equation, such as Linear equations, Quadratic equations, Absolute value equations, Exponential and logarithmic equationRelationship between equation components, such as Operations performed on both sides, Inverse operations, Contradictions, or identities.Hence, in this case, it is concluded that various factors including graphing the equation or using numerical methods can help visualize or approximate the mathematical solution set.
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What numbers between 61 and 107 that is multiple of 5, 8, and 10?
========================================================
Explanation:
We'll need to find the LCM of 5, 8 and 10.
List out the prime factorization of the three numbers.
5 = 1*58 = 2^310 = 2*5The unique prime factors are 2 and 5. The '1' isn't a prime number, so we can ignore it.
The '2' has an exponent of 3 as the largest exponent, meaning 2^3 is part of the LCM. The '5' has the largest exponent of 1. So 5^1 = 5 is also part of the LCM
LCM = 2^3*5 = 8*5 = 40
List out the multiples of 40
40, 80, 120, 160, ...
The number 80 is the only multiple between 61 and 107
answer question for 15 points
Using complete sentences, describe the net of a rectangular prism with a length of 11 centimeters, a width of 9 centimeters, and a height of 6 centimeters.
Please help 20 points.
Answer:
109.5cm²
Step-by-step explanation:
The formula to this equation is SA = 2lw + 2lh + 2wh
So...
SA = 2(11 x 9) + 2(11 x 6) + 2(9 x 6)
= 49.5 + 33 + 27
= 109.5cm²
Jordan is using a number line to model the division expression Negative 24 divided by 12. What should be a step in his work? Draw a chain of bounces to the right, 12 units wide, starting at –24 and ending at 12. Draw a chain of bounces to the left, 12 units wide, starting at 0 and ending at –24. Draw a chain of bounces to the right, 12 units wide, starting at 0 and ending at 24. Draw a chain of bounces to the left, 12 units wide, starting at 24 and ending at 0.
Answer:
Draw a chain of bounces to the left, 12 units wide, starting at 0 and ending at -24.
Draw a chain of bounces to the left, 12 units wide, starting at 0 and ending at –24.
How do you divide a number using number line?Draw a number line Starting from zero count divisor until reach the dividend.Hence, Draw a chain of bounces to the left, 12 units wide, starting at 0 and ending at –24.
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The aspect ratio is used when calculating the aerodynamic efficiency of the wing of a plane. For a standard wing area, the
5²
function A(s)
36 can be used to find the aspect ratio depending on the wingspan in feet.
If one glider has an aspect ratio of 5.7, which system of equations and solution can be used to represent the wingspan of
the glider? Round solution to the nearest tenth if necessary.
Answer:
Y=s^2/36 and y=5.7;14.3 ft
Step-by-step explanation:
A(s)=s2/36 is the function. A(s) is the aspect ratio, while s is the wingspan. A(s) = 5.7 if one glider has an aspect ratio of 5.7. We'd want to know the glider's wingspan. By replacing A(s) with Y, we get the following equation system:
Y=s^2/36 with y = 5.75.7 = s^2/36 5.7*36 = s^2√205.2 = s14.3 ftName the quadrant or axis where the point (-3,-9) is located.
Answer:
Quadrant III or 3rd quadrant
Step-by-step explanation:
( - 3, - 9 ) is located in 3rd quadrant.
6 in. of ribbon costs 20¢. How much will 2 yd. cost?
A dependent variable is the variable that we wish to predict or explain in a regression model. True False
True. In a regression model, the dependent variable is the variable that we aim to predict or explain using one or more independent variables.
In a regression model, the dependent variable is indeed the variable that we aim to predict or explain. It represents the outcome or response variable that we are interested in understanding or analyzing. The purpose of the regression analysis is to examine the relationship between this dependent variable and one or more independent variables. By identifying and quantifying the influence of the independent variables on the dependent variable, regression analysis allows us to make predictions or explanations about the behavior or value of the dependent variable.
The regression model estimates the relationship between the variables based on observed data and uses this information to infer how changes in the independent variables impact the dependent variable.
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area of sector=?cm^2
Step-by-step explanation:
270°/360° ×π×13²
Area of sector=398.20
Determine whether each quadrilateral is a parallelogram. Justify your answer. a Yes; opposite angles are congruent. b Yes, opposite sides are parallel and congruent. c Yes; consecutive angles are supplementary. d No; none of the tests for parallelograms are fulfilled..
A parallelogram is a quadrilateral with congruent and parallel opposite sides. Thus, to justify that the given quadrilateral is a parallelogram, option C is correct.
i.e C. Yes; consecutive angles are supplementary.
Quadrilaterals are shape with four straight sides. Examples are; square, rectangle, parallelogram, trapezium etc.
A parallelogram is a type of quadrilateral that has opposite sides to be equal and parallel. It has some distinguishing properties which can be used to differentiate it from other quadrilaterals. Some of the are:
opposite sides are equalopposite sides are parallelconsecutive angles are supplementary opposite angles are congruentThus, in the given question the required option is C. consecutive angles are supplementary.
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PLEASE HELP!! solve for x
The value x in the secant line using the Intersecting btheorem is 19.
What is the numerical value of x?
Intersecting secants theorem states that " If two secant line segments are drawn to a circle from an exterior point, then the product of the measures of one of secant line segment and its external secant line segment is the same or equal to the product of the measures of the other secant line segment and its external line secant segment.
From the image;
External line segement of the first secant line = 8
First sectant line segment = ( x + 8 )
External line segement of the second secant line = 9
First sectant line segment = ( 15 + 9 )
Using the Intersecting secants theorem:
8 × ( x + 8 ) = 9 × ( 15 + 9 )
Solve for x:
8x + 64 = 135 + 81
8x + 64 = 216
8x = 216 - 64
8x = 152
x = 152/8
x = 19
Therefore, the value of x is 19.
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The stadium is to be renovated with a new seating capacity of 20790 seats.after the renovation what will be the percentage increase in the number of seats
Although part of your question is missing, you might be referring to this full question: The stadium has 15400 seats and it is to be renovated with a new seating capacity of 20790 seats. After renovation what will be the percentage increase in the number of seats?
The initial capacity of the stadium = 15400 seats
Planned new capacity = 20790 seats
Increment in the number of seats = 20790 - 15400 = 5390 seats
Percentage increase in the number of seats = (Increment in seats/Initial capacity of the stadium)*100
Therefore,
(5390/15400)*100 = 0.35*100 = 35%
So the percentage increase in the number of seats after renovation will be 35%
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Which parallelograms have perpendicular diagonals
Answer: If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus. If one diagonal of a parallelogram bisects a pair of opposite angles, then the parallelogram is a rhombus. To prove a square, you must prove it is both a rectangle and a rhombus.
Triangle D E F is shown with point P at the center. Lines are drawn from each point of the triangle to point P. Line segments are drawn from point P to the sides of the triangle to form right angles and line segments P H, P J, and P G. The length of F J is 3 x minus 1, the length of J E is x + 3, the length of H E is 4 y minus 3, and the length of H D is 9.
Given that point P is equidistant from the vertices of ΔDEF, what is EF?
EF =
Answer:
the answer is 10
Step-by-step explanation:
i got it right on edge 2020
Answer:
EF= 10
Step-by-step explanation:
Kevin is 3 years older than twice Jane's age. The sum of their ages is 39. How old is each person?
Answer:
39 - 3 = 36
36/3 = 12
j = 12
Step-by-step explanation:
What is the smallest angle of rotational symmetry for a square?
45°
90°
180°
360°
Answer:
90 degrees
Step-by-step explanation:
When we want to find the rotational symmetry of a shape, we will take the total angle measure of most shapes (360 degrees) and divide it by the number of angles that shape has. Since a square has 4 angles, thats what we will divide by and the answer we get will be the smallest angle of rotation.
360 / 4 = 90
Best of Luck!
The smallest angle of rotational symmetry for a square is 90°. A square has four sides of equal length and four angles of 90° each, which means that rotating it by any multiple of 90° will result in the same image. Thus, the smallest angle of rotational symmetry is 90°.
What is a polygon?In Mathematics, a polygon can be defined as a two-dimensional geometric figure that consists of straight line segments and a finite number of sides. Additionally, some examples of a polygon include the following:
• Triangle
• Quadrilateral
• Pentagon
• Hexagon
• Heptagon
• Octagon
• Nonagon
Generally speaking, the measure of the angle at the center of a regular polygon is equal to 360 degrees. Therefore, the smallest angle of rotation that maps (carries) a regular polygon onto itself can be calculated by using this formula:
α = 360/n
The smallest angle of rotational symmetry for a square is 90°.
This means that the square can be rotated by 90° and still look the same.
It can also be rotated by 180° and 270° to look the same,
but the smallest angle is 90°.
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