Answer:
4 : 3 : 3
Step-by-step explanation:
2/5 of 150 = 300/5 or 60; therefore, there are 60 blue marbles
3/10 of 150 = 450/10 or 45; therefore, there are 45 clear marbles
150 - (60 + 45) = number of green marbles; there are 45 green marbles
Blue : Clear : Green ratio is 60 : 45 : 45 or 4 : 3 : 3
Jamie and Hudson took a road trip to the beach. Their total distance traveled after getting on the highway can be found using the function d(h)=55h+10, where h is the number of hours they have been driving on the highway.
1) Explain why the relationship between total distance and hours is a function.
2) Is this function continuous or discrete? Explain how you know.
3) If the girls can drive a maximum of 8 hours, what is the domain for the function? Explain your answer.
4) If the girls can drive a maximum of 8 hours, what is the range for the function? Explain your answer.
5) Create a graph that models this function. Be sure to include a title and to label your x- and y-axis with the variable names, but just x and y.
6) What is the slope of the function? What does it represent?
7) What is the y-intercept? What does it represent?
The total distance is an illustration of a linear function.
(1) Why the relationship is a function
The relationship is a function because all input values of h, have exactly one corresponding output value of d
(2) The function type
The function is a discrete function, because the number of hours is an integer, and it cannot take decimal values (in this case)
(3) The domain for a drive of 8 hours
The domain is the set of time the girls drive.
So, the domain is: [0,8]
(4) The range
The function is given as:
[tex]d = 55h +10[/tex]
When h = 0,
[tex]d = 55(0) +10 = 10[/tex]
When h = 8,
[tex]d = 55(8) +10 = 450[/tex]
So, the range is: [10,450]
(5) The graph
See attachment
(6) The slope
A linear function is represented as:
[tex]y = mx + c[/tex]
Where:
m represents the slope.
So, by comparison:
[tex]Slope = 55[/tex]
The slope in this case represents the distance travelled per hour
(7) The y-intercept
In (6) above, c represents the y-intercept.
So, by comparison:
[tex]c = 10[/tex]
The y-intercept in this case represents the initial distance
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The point F( – 4,6) is translated 6 units right. What are the coordinates of the resulting point, F'?
i.e
[tex]\\ \sf{:}\Rrightarrow -4+6=2[/tex]
New co-ordinates:-
[tex]\\ \sf{:}\Rrightarrow F(2,6)[/tex]
What are the vertices of PQR?
Answer:
D
Step-by-step explanation:
i may be wrong. if i am, sorry. but a vertice is basically just a point.
The vertices of the given triangle PQR are P, Q and R. Therefore, the correct answer is option D.
A vertex (plural vertices) in geometry is the intersection of two straight lines. Three line segments come together to form a triangle. The ends of a triangle's three sides meet at three separate points in a plane to form the triangle, which has three sides with two endpoints each. The vertices of a triangle are the three distinct intersecting points or corners.
Vertices of the triangle are represented by letters.
In triangle PQR, vertices are P, Q and R.
Therefore, the correct answer is option D.
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coaches take people to a festival.
Each coach can take 50 people.
From one city there are 820 people.
How many coaches are needed?
Answer:
17 coaches
Step-by-step explanation:
820 divided by 50 is 16.4 but you can't have part of a coach so you round up it 17
Answer:
17 coaches
Step-by-step explanation:
820 divided by 50 is 16.4 but you can't have part of a coach so you round up it 17
Find the solution of this system of equations
-6x + 3y = -39
-6x - 3y = -21
Enter the correct answer.
DONE
OOO
Clear all
+?
Answer:
Undefined.
Step-by-step explanation:
If you try to cancel x or y, you'll cancel both, and won't be able to find the values of any of those variables.
HELP MEEEE PLEASEEEE!!!!!
The graph of the step function g(x) = -x] + 3 is
shown.
What is the domain of g(x)?
5
O {xx is a real number}
O {x|x is an integer}
O {XI-2 s x <5)
O {xl-1 sxs5}
Answer:
{x| -2 ≤ x < 5}
Step-by-step explanation:
The domain is the x value in a graph, function e.t.c. From the farthest point to the left of the x-axis, we see -2. And from the farthest point to the right of the x-axis, we see 5. Therefore, the domain is {x| -2 ≤ x < 5}, Option C
Look here for visuals:
The domain of the step function g(x) is (c) {x I -2 <= x <5 }
The domain of a function is the set of input values the function can take.
From the graph, the x-values begin as -2 with a closed circle, and it ends at 5 with an open circle
The open circle means that -5 is not part of the domain, while the closed circle means that -2 is inclusive of the x-values
Hence, the domain of the step function g(x) is (c) {x I -2 <= x <5 }
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g^2+(-4g^4)+5g+9+(-3g^3)+3g^2+(-6)
The focus of the parabola -40x = y2 is:
(-10, 0)
(0, -10)
(0, 10)
(10, 0)
Answer:
Option A: (-10,0)
Step-by-step explanation:
The given equation of the parabola is in the form of [tex]y^2=4ax[/tex] where the focus is located at [tex](a,0)[/tex]. Therefore, the focus of the parabola is [tex](-10,0)[/tex].
6. Multiply: i) 3x (5x+8y)
ii) 4x (3x2 + 5x-7)
iii) (3x+4y) (2x-7y)
iv) (2-3a) (2a2-3a+7)
Answer:
Step-by-step explanation:
3x(5x+8y)=15x^2+24xy
4x(3x^2+5x-7)=12x^3+20x^2-28x
(3x+4y)(2x-7y)=6x^2+8xy-21xy-28y^2=6x^2-13xy-28y^2
(2-3a)(2a^2-3a+7)=4a^2-6a+14-6a^3+9a^2-21a=-6a^3+13a^2-27a+14
A right rectangular prism has edges of 8 feet, 4 feet, and
1/ foot.
How many cubes with side lengths of
1/2
foot would be needed to fill the prism?
Answer:
[tex]to \: know \: the \: answer[/tex]
[tex]refer \: to \: the \: above \: attatchment[/tex]
Hope this helps you !!A girl plays the same computer game lots of times.
The computer scores each game using 1 for the win, 0 for lose.
After each game, the computer calculates her overall mean score.
The graph shows the results for the first 20 games.
What percentage of the 20 games did the girl win?
Answer: 45%
From my common sense
If the graph line goes up, she wins.
If the graph line goes down, she loses.
1. Count the amounts of times which the graph line goes up.
(btw the first game she won because the graph line started at 1)
= 9
2. Calculate the winrate of her 20 games
= 9/20 * 100
= 45%
Help pleaseeeeieneeiejne
Answer:
Pretty sure the domain for this is all positive numbers and range is all positive numbers over 1.
Step-by-step explanation:
domain refers to x values.
range refers to y values.
(-4,-1), (8,-4) in point slope-intercept form. PLEASE HELP ME ITS DUE TODAY
Answer:
-1 + 4 = -0.25(-4-8)
Step-by-step explanation:
Step 1: graph your points
Step 2: draw a line thru the points
Step 3 find the slope: -0.25 or -1/4
SLOPE POINT FORM:
y-y1=m(x-x1)
(-1)-(-4) = -0.25(-4-8)
-1 + 4 = -0.25(-4-8)
Hope that helps
max found a car he wants to buy that costs $16,000. He can afford to pay $250 a month for the car. His bank offers him a car loan of 7.3%. The length of his loan should be about 5 years, so he can afford the payments. true or false
Max won't be able to afford the payments.
Since Max found a car he wants to buy that costs $16,000, and he can afford to pay $ 250 a month for the car, and his bank offers him a car loan of 7.3%, and the length of his loan should be about 5 years, to determine if he can afford the payments, the following calculation must be performed:
(16000 x 1.073 ^ 5) / (5 x 12) = X 22,757.187 / 60 = X 379.28 = X
Therefore, each monthly payment will be $ 379.28, so Max won't be able to afford the payments.
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the gym teacher has 13 playground balls for the 4 fourth grade classroom
to share. how many balls will each classroom get
Answer:
3-4
because 12 ÷4 is 3 but there is 13 so you add 1 ball so in each there is
4 3 3 3
Matthew has a gift card for $50 to lulu beans he is charged $3.25 for each coffee that he buys write an equation to represent his total amount left a after c coffees are purchased how many coffees were purchased if he has $11 left on the card
Answer:
Amt(c) = $50 - ($3.25/coffee)c
c = 12
Step-by-step explanation:
An equation to represent his total amount left a after c coffees are purchased
would be Amt(c) = $50 - ($3.25/coffee)c
and if he has $11 left, then $11 = $50 - ($3.25/coffee)c
or -$39 = -($3.25/coffee)c.
Dividing both sides by -$3.25, we get c = 12
the diagram shows 3 identical circles inside a rectangle. each circle touches the other two circles and the sides of the rectangle, as shown in the diagram. the radius of each circle is 32mm. work out the area of the rectangle. give your answer correct to 3 significant figures.
Answer:
2640mm
Step-by-step explanation:
I'm assuming you need the area of the rectangle which the circles don't take up.
First, to find the area of the whole rectangle:
length x width
to find length:
the length is 1 circle, therefore it is the diameter of the circle, which is 32 x 2 = 64mm
to find width:
the width is 3 circles, which is the radius 6 times, so 32 x 6 = 192mm
So, area of rectangle = 64 x 192 = 12288mm
Now to find the area the circles take up:
area of 1 circle =
[tex]\pi \times {r}^{2} [/tex]
=
[tex]\pi \times {32}^{2} [/tex]
=
[tex]1024\pi[/tex]
As we have 3 circles, we multiply this by 3:
[tex]1024\pi \times 3 = 3072\pi[/tex]
Finally we subtract the area of the three circles from the area of the rectangle:
[tex]12288mm - 3072\pi = 2637[/tex]
As we need to round it to 3 significant figures, the answer is 2640mm
Which of these is a correct statement regarding payday loans
Step-by-step explanation:
I think your question is not complete
resend it if you don't mind
They're easier to get than both mortgages and car loans
(p/4)+rp; use p=4, and r=5
Answer: 21
Step-by-step explanation:4/4=1 5x4=20 20+1 = 21
A. -5
B.-1/5
C.1/5
D.5
Answer:
b
Step-by-step explanation:
the probability of selecting a green ball from a bag is a 1 out of 8. If you select 3 balls, what is the probability of at least one of them being green?
Answer:
3/8
Step-by-step explanation:
simply multiply 1/8 by 3/1
3X1 is 3 and 8X1 is 8 so 3/8
Which inequality is graphed on the number line?
Number line from 0 to 10. Start at 0. Count up by 1. Point t is depicted by an arrow from 6 to 0
A. t > 9
B. t < 0
C. t < 6
D. t > 6
Answer:
C
Step-by-step explanation:
If the line goes from 6 to 0 then that means it is decending and that T is LESS than 6
The interior angle of a regular polygon IS 180°.find the value if its exterior regular polygon
Answer:
Sum of exterior angle is [tex]360^0[/tex]
Value of each exterior angle is [tex]120^0[/tex]
Step-by-step explanation:
Sum of interior angles of a polygon with n sides [tex]=(n-2)\times180[/tex]
Here
[tex](n-2)180=180\\\\n=3[/tex]
Hence the polygon is triangle
Sum of exterior angle is [tex]360^0[/tex]
Sum of one exterior angle
[tex]=\frac{360}{3} \\\\=120^0[/tex]
Please help, Math- Sophie the stealth Sharp shooter challenges you to a game of chance. She charges you $25 to get a chance to shoot at a target. if you hit the bullseye, you get a $100 (win$75). If you miss the bullseye but are within two circles of it, you get your money back. Over the course of sophies career, she finds that 5% of people hit the bullseye and 30% of people miss but are within two circles. All other contestants miss by further and lose.
Make a distribution table of the situation.
What is the expected amount for you to win or lose?
How much money would you expect Sophie to win or lose if 100 people played the game?
What should she charge to make this game fair?
Show work, please
The expected result for each shot is a loss of $ 12.50, so if 100 people played, Sophie would win on average about $ 1250. Lastly, Sophie should charge $ 5.77 for this value to be fair.
Since Sophie charges you $ 25 to get a chance to shoot at a target, and if you hit the bullseye, you get a $ 100 (win $ 75), and if you miss the bullseye but are within two circles of it, you get your money back, and over the course of sophies career, she finds that 5% of people hit the bullseye and 30% of people miss but are within two circles, while all other contestants miss by further and lose; to determine what is the expected amount for you to win or lose; how much money would you expect Sophie to win or lose if 100 people played the game; and what should she charge to make this game fair, the following calculations must be performed:
(75 x 5 + -25 x 65) / 100 = X (375 - 1625) / 100 = X -1250 / 100 = X -12.5 = X
375 + 65X = 0 65X = 375 X = 375/65 X = 5.77
Therefore, the expected result for each shot is a loss of $ 12.50, so if 100 people played, Sophie would win on average about $ 1250. Lastly, Sophie should charge $ 5.77 for this value to be fair.
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2
Select the correct answer
What is the sum of the first 28 terms of this arithmetic sequence?
69, 75, 81, 87, 93, 99,...
A. 2,436
B. 4,200
C. 4,320
D. 4,368
Answer:
B. 4200
Step-by-step explanation:
A suitable calculator can add the terms for you. (See attached)
__
The first term is 69, and the common difference is 75-69 = 6. The general term is ...
an = a1 +d(n -1)
an = 69 +6(n -1)
Then the 28th term is ...
a28 = 69 +6(27) = 231
The average term is (a28 +a1)/2 = (231 +69)/2 = 150.
The sum is the number of terms multiplied by the average term:
sum = 28×150= 4200
3+2+6= what pls ls help
3 3/4 x 2/5 as a fraction
Answer:
13/20
Step-by-step explanation:
The value of 3(3/4) x 2/5 as a fraction is 3/2.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
3(3/4) x 2/5
= 15/4 x 2/5
= 3/2
Thus,
The value is 3/2.
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Find the value of 3x+ 4 when x = 2
Answer:
3x+4, x=2
3(2)+4
6+4=10
Hello there! :-)
To find the value of 3x+4 when x=2, all we have to do is substitute the value of 2 into the expression:
3x+4
3(2)+4
6+4
10
Therefore, the answer is 10.
Hope this helps. Use the comment section to clarify your doubts.
Answered by
~A felicitous teen who helps others with a smile on her face
Good luck with your studies. :)
someone help pls pls
Answer:
3.636 hour. dividing 200miles /55m/h =3.636h
Answer:
3 hours 38 minutes is what calculators online say
Step-by-step explanation:
You should put both answers that were given to you. The answer on top seemed to do it the mathematical way youre suppose to. Maybe the teacher will take both answers i don’t know
Each student bus goes on a field trip holds 36 students and four adults there are six found buses on the field trip how many people are going on a field trip
Answer:
240
Step-by-step explanation:
36+4=40
40x6=240