Answer:
D) Jake has $90 and Mike has $120. Jake saves $9 per week and Mike saves $6 per week. How long will it be before Jake and Mike have the same amount of money?
Step-by-step explanation:
The answer is D, because it make them equal
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Question 19 Unsaved
Ann office building has the same number and size of office units per floor. If there are 21 units on the first 3 floors, then what is the total number of offices in the 10 story building?
Question 19 options:
7
24
63
70
The depth of a lake, dd, varies directly with rr, the amount of rainfall last month. if kk is the constant of variation, which equation represents the situation?
Graph the six terms of a finite series where a1 = −3 and r = 1.5.
Answer:
the answer is C
Step-by-step explanation:
______________ is process that you can do over and over, where each result does not affect the next.
Ex. Flipping a coin, rolling dice, choosing a card, etc.
The total number of points scored by each player throughout a season are listed on a roster by the player's jersey number. is this a function? explain your reasoning.
A)Yes, it is a function because each player's jersey number will have only one number for the points scored during the season.
Each jersey number has exactly one number for the total points scored by the player.
In a function, every input has exactly one output. In this situation, each jersey number is an input, and the total points scored for the season by the player is the output.
Which compound inequality can be used to solve the inequality |3x+2|>7
Answer:
x>[tex]\frac{5}{3}[/tex].
Step-by-step explanation:
We have given an inequality |3x+2|>7.
We need to solve this inequality |3x+2|>7, and find the compound which can solve this.
We know that, inequality :
|3x+2|>7
Subtrating 2 from both sides,
|3x+2-2|>7-2
3x>5
Dividing by 3 both sides,
[tex]\frac{3x}{3} > \frac{5}{3}[/tex]
x>[tex]\frac{5}{3}[/tex]
Therefore, we can see that on the inequality |3x+2|>7, we find x>[tex]\frac{5}{3}[/tex] compound.
Answer:
D. 3x + 2 < –7 or 3x + 2 > 7
Step-by-step explanation:
Aaron solved an inequality and then graphed the solution as shown below. Anwser: A
A student found the solution below for the given inequality lx-9l less than 4
Anwser: D
Amber is solving the inequality lx+6l - 12 less than 13 by graphing. Which equations should Amber graph?
Anwser: A
What is the solution, if any, to the inequality l3xl greater than or equal to 0?
Anwser: A
Which compound inequality is equivalent to lax-bl greater than c for all real numbers a, b, and c, where c is greater than or equal to 0?
Anwser: D
Which compound inequality is equivalent to the absolute value inequality lbl greater than 6?
Anwser: D
What is another way to write the absolute value inequality lpl less than or equal to 12?
Anwser: A
What is the solution to the inequality lx-4l less than 3?
Anwser: B
Which inequality is equivalent to lx-4l less than 9?
Anwser: B
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Divide £770 in the ratio of 4:3 plsss
In 2010, 100 japanese yen purchased .88 u.s. dollars and in 2013, it purchased .93 u.s. dollars. how much was 1 u.s. dollar worth in japanese yen, in 2010 and 2013?
The volume of a cylinder is given by the formula v=pi r^2h, where r is the radius of the cylinder and h is the height. Which expression represents the volume of this cylinder? h=2x+7, r=x-3.
Find the base area of a rectangular pyramid whose pyramid height is 5 cm and slant height of one side of the base is 13 cm and another side of the base is 7 cm.
a. 92√6 cm^2
b. 96√6 cm^2
c. 180√6 cm^2
d. 100√6 cm^2
e. 198√6 cm^2
Suppose f(x) = x. Find the graph of f(x+1)
An artist is creating a large conical sculpture for a park. The cone has a height of 16 m of and a diameter of 25 m. Find the volume the sculpture to the nearest hundredth.
A. 833.33 m3
B. 7,850 m3
C. 2,616.67 m3
D. 209.33 m3
The volume of the conical sculpture is calculated using the formula for the volume of a cone, 1/3πr²h. Substituting the given values, the volume is found to be approximately 2,616.67 m³.
Explanation:The subject of this question is focused on calculating the volume of a cone. To find the volume of a cone, we apply the formula 1/3πr²h, where r is the radius and h is the height. Given in the question, the height (h) of the cone is 16 m and the diameter is 25 m. The radius is half of the diameter so it is 25/2 = 12.5 m. Substituting these values into the formula gives us:
Volume = 1/3πr²h
= 1/3 * π *(12.5 m)² * 16 m
≈ 2,616.67 m³
So, the volume of the sculpture to the nearest hundredth is approximately 2,616.67 m³. Thus, Option C is the correct answer.
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The problem is in the first picture and the questions are in the second one. I have no idea how to do any of this.
Christopher is analyzing a circle, y^2 + x^2 = 121, and a linear function g(x). Will they intersect?
A. Yes, at the positive x coordinates.
B. Yes, at negative x coordinates.
C. Yes, at the negative and positive x coordinates.
D. No, they will not intersect
Yes, they will intersect at the positive x coordinates.
What is the equation of the circle?The standard equation of a circle is: (x-h)^ 2 + (y-k) ^2 =r ^2 Where (h, k) is the coordinates of the center, and r is the radius of the circle.
Christopher is analyzing a circle, y^2 + x^2 = 121, and a linear function g(x). Will they intersect?
The given equation of the circle is;
[tex]\rm x^2+y^2=121\\\\x^2+y^2=11^2[/tex]
The circle with center at (0,0) and radius r = 11 units and g(x) points (-1,14) (0,12) (1,10).
The linear function is;
[tex]\rm y=mx+b[/tex]
From the graph on drawing all the co-ordinates lies in positive x and y axis.
Hence, they will intersect at the positive x coordinates.
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A system of equations that has an infinite number of solutions is called a(n) ______ system of equations.
A system of equations with an infinite number of solutions is known as a consistent and dependent system. These systems occur when equations are essentially the same, leading to all solutions satisfying all the equations, often represented by overlapping graphs in the case of linear equations.
Explanation:A system of equations that has an infinite number of solutions is called a consistent and dependent system of equations. When a system is consistent and dependent, it means that the equations describe the same line or geometric shape, leading to an infinite number of points that satisfy all equations in the system simultaneously. This scenario often arises when the equations in the system are multiple forms of the same equation, or when they can be algebraically manipulated to become the same equation.
In practical terms, if you were to graph the equations in a consistent and dependent system, you would see that they overlap completely. For instance, if two linear equations represent the same line, any point on that line is a solution to both equations, hence the infinite solutions. A key aspect of understanding such systems is realizing that they do not lead to a single unique solution but rather a set of solutions that satisfy all conditions outlined by the equations in the system.
A system of equations with an infinite number of solutions is referred to as a consistent and dependent system, indicating the equations describe the same line.
A system of equations that has an infinite number of solutions is called a consistent and dependent system of equations. This type of system occurs when the equations involved describe the same geometric line, meaning every point on the line is a solution to the system, hence an infinite number of solutions. Such systems often arise in various mathematical contexts, including linear algebra and differential equations, where they indicate a fundamental underlying symmetry or redundancy in the system's constraints.This occurs when the equations are dependent, leading to multiple possible solutions that satisfy all the equations simultaneously.
One of the mutually exclusive results of an activity conditional probability 2. a combination of one or more outcomes independent events 3. a measure of likelihood of a given result event 4. compound events whose outcomes do not affect each other outcome 5. events involving two or more activities compound events 6. probability of one event given that another has occurred probability
From the information given about the probability, the appropriate terms that denotes them will be:
outcome - one of the mutually exclusive results of an activity.probability - a measure of the likelihood of a given result.compound events - events involving two or more activities.event - a combination of one or more outcomes.independent events - compound events whose outcomes do not affect each other.conditional probability - the probability of one event given that another has occurred,ProbabilityIt should be noted that probability is the branch of mathematics that deals with numerical descriptions of how likely an event is to occur.
The probability of an event occuring is a number between 0 and 1. 0 indicates the impossibility of the event while 1 indicates certainty.
The outcome is one of the mutually exclusive results of an activity.
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ivan began to prove the law of sines using the diagram and equations below. sin(A) = h/b, so b sin(A) = h. sin(B) = h/a, so a sin(B) = h. Therefore, b sin(A) = a sin(B). Which equation is equivalent to the equation b sin(A) = a sin(B)?
edit: the answer is b!
(B.) sin(A)/a = sin(B)/b
Two cities are 45 miles apart. Two trains, with speeds of 70 mph and 60 mph, leave the two cities at the same time so that one is catching up to the other. How long after the trains leave will they be 10 miles apart for the first time? How long after the trains leave will they be 10 miles apart for the second time?
The first time the two trains are 10 miles apart is approximately 16.15 minutes after they start. The second time they are 10 miles apart is about 25.38 minutes after they start.
Explanation:This problem is a relative speed problem in mathematics, specifically in the subsection of algebra known as rate, time, and distance problems. To solve, you should consider that when the two trains move towards each other, their speeds add up. Hence, the relative speed of the two trains is 70 mph + 60 mph = 130 mph.
First, we need to figure out the time it would take for the trains to be 10 miles apart for the first time. This would be when they have collectively traveled 35 miles (45 miles initial separation - 10 miles final separation). To find the time it takes, we use the formula d=rt, where d is distance, r is rate or speed, and t is time. Here, time t = d/r = 35 miles / 130 mph = approximately 0.27 hours, which converts to about 16.15 minutes.
Next, to find the time when they are 10 miles apart for the second time, we need to consider when they have covered the total distance of 45 miles and then kept going until they've covered an additional 10 miles. This is a total of 55 miles. Again, using the time formula t = d/r, we get t = 55 miles / 130 mph = approximately 0.42 hours or about 25.38 minutes.
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A. 3
B. 5
C. 6
D. 10
Chiara pays $21 for 3 DVDs that she finds in a one-price bin. Gunther wants to know how much he would spend for 1 DVD in this bin. Chiara wants to know how many dollars she will need to purchase 9 DVDs the next time she goes.
There are 100 students in a drawing contest, and 58 of them are girls. What percent of the students in the contest are girls?
There are 100 students in a drawing contest and 58 of students are girls. What percent of students in the drawing contest are girls?
The fraction [tex]\frac{58}{100}[/tex] represents the number of girls in the drawing contest out of all the students.
To find out what percent of the students are in the drawing contest, we can change [tex]\frac{58}{100}[/tex] into a percent.
We can first reduce the fraction by dividing both the numerator and denominator by the Greatest Common Factor of 58 and 100 using 2.
58 ÷ 2 = 29
100 ÷ 2 = 50
Our reduced fraction is [tex]\frac{29}{50}[/tex].
29 ÷ 50 = 0.58
0.58 × 100 = 58%
Therefore, 58% of the students in the drawing contest are girls.
Find the coordinate of the point (x,y) shown on the unit circle
Here the angle is
[tex]\frac{4 \pi}{3}[/tex]
And radius is 1 units .
And
[tex]x = r cos \theta, y = r sin \theta[/tex]
Substituting the values of theta and r, we will get
[tex]x = 1 cos(\frac{4 \pi}{3} ) = -1/2 \\ y=1 sin( \frac{4 \pi}{3} ) =\sqrt3 /2[/tex]
So we will get
[tex]x = \frac{-1}{2} , y = -\frac{ \sqrt 3}{2}[/tex]
The coordinate of the point (x,y) shown on the unit circle is therefore: (-1/2, -√3/2)
The circle given is a unit circle.
In essence, the radius as indicated by the blue line is 1.
The angle subtended by the line is; 4π/3.
Therefore, from trigonometry of right-angled triangles; we have;
x = r Cos(4π/3)y = r Sin(4π/3)where, r = 1
Therefore,
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Kelly wants to know if the number of words on a page in her geometry book is generally more than the number of words on a page in her science book. She takes a random sample of 25 pages in each book, then calculates the mean, median, and mean absolute deviation for the 25 samples of each book.
Kelly claims that because the mean number of words on each page in the science book is greater than the mean number of words on each page in the geometry book, the science book has more words per page. Based on the data, is this a valid inference?
Answer:
No, because there is a lot of variability in the science book data
Step-by-step explanation:
A basketball player has a 50 chance of making each free throw. what is the probability that the player makes at least eleven out of twele free throws
Give the dimensions of a cuboid with a volume of 18cm to the power 3.
use formulas to find the lateral and surface are of the given prism the numbers are 5.39m 26m 5m 2m
How to solve this problem
if 3x+2y=12 and -4x+6y=24 what is the value of -x+2y
A sphere has a diameter of 12 ft. What is the volume of the sphere? Give the exact value in terms of pi
A campground owner plans to enclose a rectangular field adjacent to a river. the owner wants the field to contain 180,000 square meters. no fencing is required along the river. what dimensions will use the least amount of fencing?