Answer:
it's a vertical line.
Step-by-step explanation:
only the Y coordinate changes making it vertical
Mona had 32 math problems for homework. She completed 3/4 of them before dinner and the remaining 1/4 after dinner. How many problems did she complete before dinner?
Answer: 24 problems done before dinner
Step-by-step explanation:
Take the 32 total math problems and divide it by 3/4 (the amount of problems done before dinner) getting you 24 problems done before dinner
(Circle Graphs MC) A group of 450 middle school students were randomly selected and asked about their preferred television genre. A circle graph was created from the data collected. a circle graph titled preferred television genre, with five sections labeled drama 14 percent, sports 22 percent, documentaries 24 percent, reality 20 percent, and sci-fi How many middle school students prefer the Sci-Fi television genre?
90 middle school students prefer the Sci-Fi television genre.
What is Ratio?
Ratio is a comparison of two or more quantities of the same kind, often expressed as a fraction. Ratios are used to describe how much of one thing there is in relation to another thing.
The total percentage of the circle graph is 100%, and since the Sci-Fi section is 20%, we know that 20% of the 450 middle school students prefer the Sci-Fi television genre.
To find the number of middle school students who prefer the Sci-Fi genre, we can set up a proportion:
20/100 = x/450
where x is the number of middle school students who prefer the Sci-Fi genre.
Simplifying the proportion, we get:
0.2 = x/450
Multiplying both sides by 450, we get:
x = 0.2 * 450
x = 90
Therefore, 90 middle school students prefer the Sci-Fi television genre.
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Use the following commission schedule to find the total graduated commission in Problems 5–8. Chart is in picture. Show work
Please help
Using proportions, the commissions are given as follows:
5. a. $200. b. $0. c. $0. d. $200.
6. a. $250. b. $200. c. $0. d. $490.
7. a. $250. b. $800. c. $300. d. $1350.
8. a. $250. b. $800. c. $1250. d. $2300.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
For item 5, the amount is less than $5,000, hence there is a single commission of 5%, as follows:
0.05 x 4000 = $200.
Hence the amounts are:
a. $200. b. $0. c. $0. d. $200.
For item 6, the commissions are divided as follows:
5% of the first $5,000: 0.05 x 5000 = $250.8% of the next $3,000: 0.08 x 3000 = $240.For a total of $490, as 250 + 240 = 490.
Hence the amounts are:
a. $250. b. $200. c. $0. d. $490.
For item 7, the commissions are divided as follows:
5% of the first $5,000: 0.05 x 5000 = $250.8% of the next $10,000: 0.08 x 10000 = $800.10% of the final $3,000: 0.1 x 3000 = $300.For a total of $1,350, as 250 + 800 + 300 = 1350.
Hence the amounts are:
a. $250. b. $800. c. $300. d. $1350.
For item 8, the commissions are divided as follows:
5% of the first $5,000: 0.05 x 5000 = $250.8% of the next $10,000: 0.08 x 10000 = $800.10% of the final $12,500: 0.1 x 12500 = $1,250.For a total of $2,300, as 250 + 800 + 1250 = 2300.
Hence the amounts are:
a. $250. b. $800. c. $1250. d. $2300.
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A projectile is thrown into the air. The equation y=-3x² - 12x + 96 represents the path of the projectile, where x represents the amount of time in seconds. How long is the projectile in the air, in seconds?
As this is when it hits the ground, the projectile is in the air for 6 seconds.
Physically speaking, the missile would have been at ground level two seconds prior to launch if x were negative. Thus, we disregard the unfavorable option.
What is a projectile?Objects that are thrown, shot, or launched with a certain initial velocity and then move against the forces of gravity and air resistance are known as projectiles. Projectiles can be anything from arrows and bullets to rocks and water balloons. Typically, a bow, slingshot, gun, or cannon is used to fire them. When projectiles are launched, gravity, air resistance, and other forces influence their trajectories.
from the question:
We must discover the moment the missile strikes the ground in order to calculate how long it was in the air. The height of the missile above the earth would be zero at that point.
Thus we must resolve the following equation:
y = -3x² - 12x + 96 = 0
We can use the quadratic formula to solve this equation in the quadratic form:
x = (-b ± √(b² - 4ac)) / 2a
where a = -3, b = -12, and c = 96.
Plugging in these values, we get:
x = (-(-12) ± √((-12)² - 4(-3)(96))) / 2(-3)
x = (12 ± √(144 + 1152)) / (-6)
x = (12 ± √1296) / (-6)
x = (12 ± 36) / (-6)
So, the solutions are:
x = -2 or x = 6
Physically speaking, the missile would have been at ground level two seconds prior to launch if x were negative. Thus, we disregard the unfavorable option.
As a result, the missile is in the air for 6 seconds before it strikes the earth.
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Complete this puzzle using each of these numbers only once : 2, 4, 5, 7, 8, 11, 13, 14, 16 Put the even numbers in the squares and the odd nurmbers in the circles. Each row of three numbers must add up to 26.
Here is one solution to the puzzle:
Squares: 2, 8, 16
Circles: 5, 7, 14
Total: 26
You can verify that each row of three numbers adds up to 26: 2 + 8 + 16 = 26, 5 + 7 + 14 = 26.
What are even and odd numbers?An even number is a number that can be divided into two equal groups. An odd number is a number that cannot be divided into two equal groups. Even numbers end in 2, 4, 6, 8 and 0 regardless of how many digits they have. Odd numbers end in 1, 3, 5, 7, 9.
Therefore, the correct answer is as given above
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(6 multiply 5)+(10 subtract 3)=
Answer:
37
Step-by-step explanation:
(6 × 5) + (10 - 3)
30 + 7
37
6. Are the two triangles similar? How do you know? (1 point)
A.)no
B.)yes; by AA~
C.)yes; by SAS ~
D.)yes; by SSS ~
Option C is correct
C.)yes; by SAS ~
Why let's see :-
First of all it's clearly visible that triangles are similar so there's no point even if thinking option A is correct. There was possibility of option B but they haven't given that lines are parallel Now as you can see GM = KM is equal but HM is not equal to jm.°. Most appropriate option is c
Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utility, use it to graph the function and verify the real zeros and the given function value.n=3-3 and 5 + 5i are zeros f(-1)= 122
Given:
a.) n = 3
b.) -3 and 5 + 5i are zeros
c.) f(-1) = 122
Step 1: Let's determine the factors based on the zeros.
-3 and 5 + 5i are zeros
Therefore, the factors will be:
x + 3
5 + 5i = 5(1 + i)
x + 5(1 + i)
x - 5(1 + i)
0
need help with this ASAP
!!!!!!!!!!!!!!!!!!!!!!!!
The fence in dead center is about 399 feet from the third base.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side, is equals to the sum of the squares of the lengths of the other two sides.
Hence the equation for the theorem is given as follows:
c² = a² + b².
In which:
c > a and c > b is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.For the triangle in this problem, we have that:
The sides are d ft and 90 ft.The hypotenuse is of 409 ft.Hence the distance is obtained as follows:
d² + 90² = 409²
\(d = \sqrt{409^2 - 90^2}\)
d = 399 ft.
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The value of x in this system of equations is 1. What is the value of y?
3 x + y = 9
y = -4 x + 10
y=
Answer: 6
Step-by-step explanation:
x=1
=> 3.1 + y=9
=>y=9-3=6
or
y=-4.1+10
y=-4+10=6
Hello!
\(\Large \underline{\textbf{\sf We~ know:}}\\\\\sf x = 1\\\\3x + y = 9\\\\y = -4x + 10\\ \\\\\Large \underline{\textbf{\sf We~ search:}}\\\\The~ value ~of~ y\\\\\\\Large \underline{\textbf{\sf We~ solve:}}\\\\\\\)
\(\sf 3x + y = 9\\\\3*1 + y = 9\\\\3 + y = 9\\\\y = 9 - 3\\\\\boxed{\sf y = 6}\)
\(\Large \underline{\textbf{\sf We~ verify:}}\\\\\sf 3x + y = 9\\\\3*1 + 6 = 9\\\\\\\\\sf y = -4x + 10\\\\-4*1 + 10 = 6\\\\\\\Large \underline{\textbf{\sf Conclusion:}}\\\\\)
\(\sf In ~this ~system ~of~ equations,~the ~value ~of ~x~ is ~1~and~the~value~of~y~is~6.\)
Explain how you know that (3, 5) is not a solution to the given inequality by looking at the graph.
The reason that the point (3, 5) is not a solution to the given inequality is given below.
We are given that;
y > 2x + 1
Now,
The inequality y > 2x + 1 can be graphed by first graphing the boundary line y = 2x + 1. Since the inequality is strict (y >), we draw a dashed line to indicate that points on the line are not solutions to the inequality. Then, we shade the region above the line to indicate all points that satisfy the inequality.
If we have (3,5) as a point, we can see that it lies on the boundary line
y = 2x + 1.
Since the inequality is strict (y >), points on this line are not solutions to the inequality
Therefore, by the inequality the answer will be given above.
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The point (3,6) is represented on the graph. Which point also belongs on this graph?
Line graph. Line starts at (0, 0). One point plotted: (3, 6).
Answer:
Your answer would be (36,72)
Step-by-step explanation:
just explain how this is "Reflexive Property" (30 points)!!
The Reflexive Property is a property of equality that states that anything is equal to itself. This property is true for numbers, shapes, angles, and more.
In the context of geometry, the Reflexive Property of Congruence states that any geometric figure is congruent to itself. This includes angles, segments, triangles, and other polygons.
So, when you see "<J ≅ <J", it's saying that angle J is congruent to angle J, which is an application of the Reflexive Property. In other words, any angle is congruent (equal in measure) to itself.
if x/3 = 15 then x =45 equality or congruence
Answer:
equality
Step-by-step explanation:
equality
Answer:
Equality
Step-by-step explanation:
x = 45
x / 3 = 15
45 / 3 = 15
15 = 15
Give me some help please
Answer: 56 cm
Step-by-step explanation:
Determine all minors and cofactors of the matrix A given below (5)
2 −1 1 3
0 1 1 3
2 1 1 0
2 0 −1 −2
The top of a hill rises 64 feet above checkpoint -213. What is the altitude of the hill?
The top of the hill have an altitude of 1391 feet above sea level
What is an equation?An equation is a expression that shows the relationship between numbers and variables.
The standard form of a linear equation is:
y = mx + b
Where m is the rate of change and b is the y intercept
From the table, checkpoint 3 is at 1327 feet above sea level. Since the top of a hill rises 64 feet above checkpoint 3, hence:
Altitude of hill = 1327 + 64 = 1391 feet
The top of the hill is 1391 feet
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How to multiply decimals 627.30 x .58
Answer:
363.834
Step-by-step explanation:
multiply 627.30 with .58 and move the decimal points.
Fill in the table using this function rule. y=4x−2 0 2 4 2 y 7 0 0
The table of the function y=4x-2 is
x y
1 2
2 6
3 10
4 14
-3 -14
What is function?A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences.
Given: y= 4x-2
Now, substituting the value of x one by one we get
At x= 1
y= 4(1) -2
y= 4-2
y= 2
Now, At x= 2
y= 4(2) -2
y= 8-2
y= 6
and, At x= 3
y= 4(3) -2
y= 12-2
y= 10
and, At x= 4
y= 4(4) -2
y= 16-2
y= 14
Hence, the table is
x y
1 2
2 6
3 10
4 14
-3 -14
The above table represent the corresponding function.
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The beginning balance of the check register was $492.88. During the month, deposits were made for $210 and $499.88. Checks were
written for $18.25, $19.82, and $309.82. What is the ending balance of the check register?
Note: Round your answer to 2 decimal places.
Answer:
$840.77
Step-by-step explanation:
Bill found a book he wanted on sale for $20.80. The original price of the book was $32. Find the discount rate.
Answer:
35% discount
Step-by-step explanation:
We can first find what percent of 32 20.80 is.
This can be shown by using a percent proportion.
\(\frac{20.80}{32} = \frac{x}{100}\)
We can cross multiply to find the value of \(x\).
\(20.80\cdot100=2080\\\\2080\div 32 = 65\)
So 20.80 is 65% of 32.
However, this is the percent of the original price. To find the discount, we have to subtract 65 from 100.
\(100 - 65 = 35\)
So the book was on a 35% discount.
Hope this helped!
General form of
Y= 1/3x +3 and has an x intercept of 3
Answer:
Step-by-step explanation:
y
=
1
3
x
−
3
Use the slope-intercept form to find the slope and y-intercept
Slope:
1
3
y-intercept:
(
0
,
−
3
)
Any line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.
x
y
0
−
3
3
−
2
Graph the line using the slope and the y-intercept, or the points.
Slope:
1
3
y-intercept:
(
0
,
−
3
)
x
y
0
−
3
3
−
2
image of graph
Complete the sequence of numbers in the set. Explain the pattern.
8.5 7.15 5.8 ___ ___
Answer:
8.5 7.15 5.8 4.45 3.1
Step-by-step explanation:
8.5 -7.15 =1.35
7.15 -5.8 =1.35
5.8 -1.35 =4.45
4.45 - 1.35 =3.1
The seating capacity y for a banquet hall is represented by y = 8x + 56,
where x is the number of extra tables you need. How many extra tables
do you need to double the original seating capacity?
The number of extra tables that you need to double the original seating capacity will be 7.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The seating capacity y for a banquet hall is represented by y = 8x + 56, where x is the number of extra tables you need.
If the no extra table is there. Then the value of 'y' will be
y = 8 (0) + 56
y = 56
Then the number of extra tables do you need to double the original seating capacity will be
8x + 56 = 2 × 56
8x = 56
x = 7
Then the number of extra tables that you need to double the original seating capacity will be 7.
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What is the fractional equivalent of 3.15?
Answer:
Below
Step-by-step explanation:
3.15 can be read as 3 and 15 hundredths = 3 15/100 = 3 3/20
Answer: 63/20
Step-by-step explanation:
The area of a square is 256 square cm. What is the length of its side?
Santo paid $16.25 to buy 5 children tickets and 1 adult ticket. Hulda paid $24.00 to buy 4 children tickets and 3 adult tickets. If both people paid the same price per ticket what was the price of an adult ticket
Answer:
The price of an adult ticket it $5
Step-by-step explanation:
To solve this, we would find the system of equations. We would set up two equations that will represent the situation.
Let c = price per children ticket
Let a = price per adult ticket
Santo:
5c + 1a = 16.25
Hulda:
4c + 3a = 24
5c + 1a = 16.25 -> a = 16.25 - 5c
4c + 3a = 24
4c + 3(16.25 - 5c) = 24
4c + 48.75 - 15c = 24
-11c + 48.75 = 24
-48.75 -48.75
-11c = -24.75
/-11 /-11
c = 2.25
5c + a = 16.25
5(2.25) + a = 16.25
11.25 + a = 16.25
-11.25 -11.25
a = 5
a = $5 , c = $2.25
How much does college tuition cost? That depends, of course, on where you go to college. Construct a weighted average. Using the data from "College Affordable for Most," estimate midpoints for the cost intervals. Say 46% of tuitions cost about $4,500; 21% cost about $7,500; 7% cost about $12,000; 8% cost about $18,000; 9% cost about $24,000; and 9% cost about $31,000. Compute the weighted average of college tuition charged at all colleges.
Answer:
0.127
Step-by-step explanation:
It took Lesley the same time to drive 150 miles as it took a train to travel 250 miles. If the train is traveling 20 mph faster than Lesley, find the rate at which each is traveling.
Answer:
12.5 and 7.5
Step-by-step explanation:
Solve the system of equations by using substitution
Y=2x+3
Y=x+2
Since our first equation reads y = 2x + 3, we can substitute a 2x + 3
in for y in our second equation and then solve from there.
So we have 2x + 3 = x + 2.
Now subtract x from both sides to get x + 3 = 2.
Now subtract 3 from both sides to get x = -1.
To find y, plug -1 back into either equation.
I have chosen to plug it into the second.
So we have y = (-1) + 2 which simplifies to 1.
So our solution to this system is (-1, 1).