the beginnings of the sentence are dependent and after is independent. (The dependent variable is what is being studied and measured)
f(t)=7x
1. The wording tells you the independent variable: it is the phrase following "based on" or "depends on." The other variable is the dependent variable. Your variables are (independent, dependent) ...
A) (expenses, cost of running the business)
B) (area, house price)
C) (distance, time to run it)
D) (size of the carton, number of items in it)
2. f(h) = 7h . . . . . . . where h is the number of hours of babysitting and f(h) is the cost of babysitting. 0 ≤ h ≤ 4 is the domain for which this function is defined.
The floor of a room is being covered with tile. An area of 3/4 of the length and 3/5 of the width is covered. Find the fraction of the floor that has been covered.
To determine the fraction of the floor covered, we multiply the fraction of the length covered (3/4) by the fraction of the width covered (3/5), resulting in a covered area of 9/20 of the floor space.
To find the fraction of the floor that has been covered by tile, we need to multiply the fraction of the length covered by the fraction of the width covered. If an area of 3/4 of the length and 3/5 of the width is covered, then we perform the multiplication: (3/4) x (3/5) = 9/20.
This means that the fraction of the floor covered with tile is 9/20. This fraction represents the percentage of the entire floor that is tiled, which in this case indicates that less than half of the room is covered because 9/20 is less than 1/2.
the graph of a quadratic function has a vertex ar (3,-6). One point of the graph is (7,10). What is another point on the graph?
Answer:
y + 6 = (x -3)^2
Step-by-step explanation:
Let's use the general form of the vertex equation of a quadratic: y - k = a(x - h)^2.
Subst. 10 for y, 7 for x, -6 for k and 3 for h. Then, 10 + 6 = a(7 - 3)^2, or
16 = a(4)^2, or 16 = a(16). Thus, a = 1, and the equation of this particular parabola is:
y + 6 = (x -3)^2
Given a quadratic function with a vertex at (3,-6) and a point (7,10), by substituting the values into the equation, we find that another point on the graph is (4,-5).
The vertex form of a quadratic function is [tex]\(y = a(x - h)^2 + k\)[/tex], where (h, k) is the vertex of the parabola. In this case, the vertex is (3, -6), so the equation is [tex]\(y = a(x - 3)^2 - 6\).[/tex]
You're also given a point on the graph, which is (7, 10). You can use this point to find the value of a.
Substitute the point's coordinates into the equation and solve for a:
[tex]\(10 = a(7 - 3)^2 - 6\)[/tex]
[tex]\(10 = a(4^2) - 6\)[/tex]
10 = 16a - 6
Now, isolate a:
16a = 10 + 6
16a = 16
a = 1
Now that you know a = 1, you can use this information to find another point on the graph. Simply plug in a different value for x into the equation. Let's choose x = 4 for example:
[tex]\(y = 1(4 - 3)^2 - 6\)[/tex]
y = 1(1) - 6
y = 1 - 6
y = -5
So, another point on the graph is (4, -5).
Learn more about quadratic function here:
https://brainly.com/question/29293854
#SPJ3
How do I round 24 and 80 percent to the nearest whole?
24 rounds to 25 and 80 stays the same
multiply(-17)-(-6) i need this answer like now
If you mean -17 times -6 then the answer is a positive 102
i dont get this question can someone explain???
The inequality based on the information will be 0.8x + 8 ≤ 15.
What's the inequality?Let x be the number of rides you can go on.
The total amount of money you will spend on rides is 0.8x dollars.
The total amount of money you will spend on admission, lunch, and a snack is $4 + $3 + $1 = $8.
The total amount of money you have to spend is $15.
Therefore, the inequality based on the information will be 0.8x + 8 ≤ 15.
Learnmore about inequality
https://brainly.com/question/24372553
#SPJ1
Not really getting this can someone plz explain.
your answer would be b becuase that is 3/6 so thats half and ou would simply it and 1/4 do the same
Which expressions are equivalent to x+x+x + 2 ?
Choose 2 answers:
A
3x + 2
B
3 + 2x
C
3(x+2)
D
2(x+1)+x
E
5x
Answer:
A and D
Step-by-step explanation:
Only Answers A and D are equivalent to the given expression.
In A we see the variable 'x' show up three times, and so we write 3x + 2.
In D, after performing the indicated multiplication, we have 2x + 2 + x, which condenses to 3x + 2.
A mathematical expression is a finite arrangement of symbols and variables following a rule relating to the set of the finite variables.
From the given information:
x +x + x + 2= 3x + 2Also, we can have it has: 2(x+1) +x.
This is because if we simplify the above expression, we will arrive at 3x +2.
Let's solve:
The first thing we will want to do is to open the brackets
= 2(x+1) + x = 2x + 2 + xBy rearrangement of like terms, we have:
= 2x + x + 2= 3x +2Therefore, we can conclude that the mathematical expressions that are equivalent to x + x + x +2 are in Option A and D.
Learn more about mathematical expressions here:
https://brainly.com/question/20596193?referrer=searchResults
Drag each figure to show if it is similar to the figure shown or why it is not similar
Answer:
this box will show you the answer
Step-by-step explanation:
Thank Natalie222 for the answer its 6x10 not 6x3 :3
What is the distance (in units) between points C and D round your answer to the nearest hundredth
Coordinates of C: (-5,-1)
Coordinates of D: (0,3)
Distance formula:
[tex]d = \sqrt({x2 - x1)^2 + (y2 - y1)^2}[/tex]
--> [tex]\sqrt{(0 - (-5))^2 + (3 - (-1))^2}[/tex]
---> [tex]\sqrt{5^2 + 4^2}[/tex]
----> [tex]\sqrt{25 + 16} = \sqrt{41}[/tex]
The distance rounded to the nearest tenth is 6.40 units.
Lauren is tutoring students at the library on Saturday. If she is at the library for a total of 6 hours and she helps each student, one at a time, for 3/4 of an hour, how many students does she tutor?
Answer:
She tutors 8 students
Step-by-step explanation:
She is at the library for 6 hours. One hour has 60 minutes so she is at the library for [tex]6*60=360[/tex] minutes.
She helps each student for [tex]3/4[/tex] of an hour, that means [tex]3/4*60=45[/tex] minutes.
So now we have to calculate how many times does 45 minutes fits in 360 minutes (how many students she can help in 6 hours). That is [tex]360/45=8[/tex] students.
If the product ab is 0, then either a or b must be
Can you tell me
what is 2 4/5 x 3
4 1/5
hope this helped, im better at algebra tho :)
Can’t remember what I learned in class,I need some help!
Answer:
1. ∠9 = 115°
2. ∠10 = 65°
3. ∠8 = 70°
4. ∠3 = 70°
5. ∠4 = 110°
6. ∠11 = 70°
7. ∠5 = 65°
8. ∠14 = 115°
Step-by-step explanation:
Given that, two parallel lines and two transversal lines.
also given that, ∠1 = 115° & ∠12 = 110°
We know that, straight angle = 180°
∠1 + ∠2 = 180°
∠2 = 180 - 115
∠2 = 65°
∠2 & ∠5 are vertical angles. So, they are same
∠2 = ∠5
∠5 = 65°
Similarly, ∠1 = ∠6 (vertical angles)
∠6 = 110°
Now given that, ∠12 = 110°
∠11 + ∠12 = 180°
∠11 = 180 -110
∠11 = 70°
∠11 & ∠16 are vertical angles.
∠11 = 16
∠16 = 70°
∠12 = ∠15 (vertical angle)
∠15 = 110°
∠4 & 12 are Corresponding Angles
∠12 = ∠4
∠4 = 110°
∠3 = 180 - ∠4 = 180 - 110
∠3 = 70°
∠7 = ∠4 (vertical angle)
∠7 = 110°
∠3 = ∠8 (vertical angle)
∠8 = 70°
∠1 = ∠9 (Corresponding Angles )
∠9 = 115°
∠10 = ∠2 (Corresponding Angles )
∠10 = 65°
∠13 = ∠10 (vertical angle)
∠13 = 65°
∠14 = ∠9 (vertical angle)
∠14 = 115°
9. ∠7 and ∠2 no relation between them.
10. ∠6 and ∠14 are corresponding angles.
11. ∠13 and ∠12 no relation.
12. ∠7 and ∠11 are Consecutive Interior Angles
13. ∠1 and ∠8 no relation.
a perfectly spherical orange is split into four equal sections of the radius of the Orange is 4 centimeters what is the total surface area of a
Answer: 32π cm2
Step-by-step explanation:
Answer:
B: 32π cm2
Step-by-step explanation:
On edg
Angle (<) E and <F are vertical angles. If m<E = 17x+1 and m<F =20x-14, find m<F.
The vertical angles theorem states that vertical angles are congruent to each other. Since angles E and F are vertical angles, this means you can make them equal to each other in an equation.
m∠E = m∠F
17x + 1 = 20x - 14
Subtract 20x from both sides.
-3x + 1 = -14
Subtract 1 from both sides.
-3x = -15
Divide both sides by -3.
x = 5
Substitute 5 for x in m∠F (20x - 14).
20(5) - 14 = 86
m∠F = 86°
DaMontre is at basketball practice, where he takes 30 shots a minute. He also took an extra 70 shots before practice. If DaMontre took 1,870 shots, how long did he practice for?
DaMontre practiced for 60 minutes after taking a total of 1,870 shots, with an initial 70 shots before practice and 30 shots per minute during practice.
Explanation:The question asks how long DaMontre practiced basketball if he took a total of 1,870 shots, with a pre-practice session of 70 shots, and during practice, he takes 30 shots a minute.
Step-by-step solution:
First, subtract the extra shots DaMontre took before practice from the total number of shots to find out how many shots were taken during practice. So, 1,870 - 70 = 1,800 shots during practice.
Next, to find out how long he practiced for, divide the number of shots taken during practice by the rate at which he takes shots per minute. Therefore, 1,800 shots divided by 30 shots/minute = 60 minutes.Thus, DaMontre practiced for 60 minutes, which is the answer to the question.
A student's cost for last semester at her community college was $2300. She spent $276 of that on books. What percent of last semester's college costs was spent on books?
Answer: There is 12% of last semester's college costs was spent on books.
Step-by-step explanation:
Since we have given that
Amount spent at her community college = $2300
Amount spent of that on books = $276
We need to find the percent of last semester's college costs was spent on books is given by
[tex]\dfrac{276}{2300}\times 100\\\\=\dfrac{27600}{23}\\\\=12\%[/tex]
Hence, there is 12% of last semester's college costs was spent on books.
The student spent 12% of last semester's college costs on books.
How to solve the percentageTo find the percentage of last semester's college costs that was spent on books, you can use the following formula:
Percentage = (Part / Whole) * 100
In this case:
The "Part" is the amount spent on books, which is $276.
The "Whole" is the total college cost for last semester, which is $2300.
Percentage = ($276 / $2300) * 100
Percentage = (0.12) * 100
Percentage = 12%
So, the student spent 12% of last semester's college costs on books.
Read more on Percentage here https://brainly.com/question/843074
#SPJ4
Katarina wrote the standard form of a linear equation as 4x – 2/3 y = 8. Sofiya told her that the equation was not yet in standard form and gave her the right advice for how to fix it. What advice did Sofiya give to Katarina?
A. Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 24.
B.Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12.
C.Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 8.
D.Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 4.
The standard form of a linear equation in general is given by:
[tex]ax+by=c[/tex]
Now we are given the equation :
[tex]4x-\frac{2}{3}y=8[/tex]
In order to convert this into standard equation, we have to eliminate the 3 in the second term on the left side of equation.
Here 3 is in division ,so we have to perform opposite operation of division that is multiplication.
So multiplying both sides by 3 , we have
[tex]12x-2y=24[/tex]
So that means option A.Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 24. is the correct advice given by Sofiya.
Answer:
a
Step-by-step explanation:
I took test on edge
FIND THE MEAN OF THE DATA SET ROUND TO THE NEAREST TENTH IF NEED BE
15.8 14.9 16.7 17.6 13.4
First add all the numbers in the data:
15.8 + 14.9 + 16.7 + 17.6 + 13.4 = 78.4
Divide by how many numbers are in the data set there is 5 so:
78.4 ÷ 5 = 15.7
The mean is 15.7
Nick and Adam workout together. Nick weighs 160 pounds and is gaining 3 pounds per week. Adam weighs 195 pounds and is losing about 2 pounds each week. write an equation that can be used to find the number of weeks that it will take them to weigh the same amount.
Answer:
7
Step-by-step explanation:
assign the amount of weeks to x. then we write the equation 160+3x=195-2x which is 7
The equation that can be used to find the number of weeks it will take them to weigh the same amount is 160 + 3w = 195 - 2w , and it will take them 7 weeks to weigh the same amount.
Determining the equation and time for the weight to be equalLet's take w as the weight,
Nick's weight after w weeks: 160 + 3w
Adam's weight after w weeks: 195 - 2w
Since they will weigh the same after w weeks, you can set up the equation:
160 + 3w = 195 - 2w
Now, solve for w:
Combine like terms:
3w + 2w = 195 - 160
5w = 35
Divide both sides by 5 to isolate w:
w = 35 / 5
w = 7
So, it will take them 7 weeks to weigh the same amount.
Learn more on solving equations here https://brainly.com/question/22688504
#SPJ4
hi, I am a sub for Glenridge and I need the answer to the question as soon as possible please here is the question Carl is boarding a plane. He has 2 checked bags of equal weight and a backpack that weights 4 kg. The total weight of Carl's baggage is 35 kg.
Write an equation that illustrates the problem and can be used to determine the weight, w, of each of Carl's checked bags.
The equation to determine the weight of each of Carl's checked bags is 2w + 4 = 35. After solving, we find that each checked bag weighs 15.5 kg.
To solve the problem regarding Carl's baggage weight, we set up an equation. Carl has two checked bags of equal weight, let's call the weight of each bag w kilograms. He also has a backpack weighing 4 kg. According to the problem, the total weight of all his baggage is 35 kg. We can represent this situation with the following equation:
2w + 4 = 35
This equation adds the weight of the two checked bags (2w since there are two of them and they are equal in weight) and the 4 kg backpack to get the total weight of 35 kg. To find the weight of each checked bag, we can simply subtract the weight of the backpack from the total weight and then divide by two:
Subtract the weight of the backpack from the total weight: 35 - 4 = 31 kgDivide the remaining weight by two to find the weight of each checked bag: 31 / 2 = 15.5 kgTherefore, the weight of each of Carl's checked bags is 15.5 kg.
Vertex of f(x)=x^2+12x+8
the vertex is (-6,-28). let me know if i'm wrong
Theo had a balance of -$4 in his savings account. After making a deposit,he has $25 in his account. What is the overall change to his account?
the answer is $29 dollars! ! ! ! ! !
The overall change to theo's account was that he deposited 29$ to the account. Hope this helps :)
PICKING BRIANLIEST ANSWER NOW!!!!!!! Which graph shows a dilation? LOOK AT PICTURES
The answer is D the last graph.
The required graph shows a dilation in graph D. Option D is correct.
Following the given case, 4 graphs are shown we have to determine the graph showing the dilation of concentric triangles.
Dilation of a triangle refers to the transformation that changes the size of the triangle while preserving its shape. It involves scaling the triangle by a factor, either enlarging or reducing its dimensions. The dilation is centered at a fixed point called the center of dilation.
While going through the figure, graphs A, B, and C are none dilated triangles because the triangles show dissimilarities. But D shows the dilation of the triangle because the two triangles are similar.
Thus, the required graph shows a dilation in graph D. Option D is correct.
Learn more about dilation here:
https://brainly.com/question/27776561
#SPJ4
How do I use distributive property to simplify 1/5( 30-1/3 )
Devyn sold 15 boxes of cookies this week. This is 7 more than he sold last week. How many boxes did he sell last week?
8, 15 - 7 = 8 thats correct
What fractions are equivalent to 10/14
The answer to your question is,
5/7.
-Mabel <3
What’s the product of -2(-3.4)
Joanne is campaigning for class president and plans to distribute some campaign materials. 20 flyers and 16 buttons. She wants each classroom to receive an identical set of campaign materials without having any materials left over. What is the greatest number of classrooms Joanne can distribute materials to?
Joanne can distribute her campaign materials to 4 classrooms. Each classroom would get 5 flyers and 4 buttons.
Explanation:The subject of this question is Mathematics, specifically it deals with the topic of finding the greatest common divisor (GCD). In this scenario, Joanne has 20 flyers and 16 buttons she wants to distribute evenly amongst classrooms. The greatest number of classrooms she can distribute materials to is found by determining the GCD of 20 (the number of flyers) and 16 (the number of buttons). The GCD of 20 and 16 is 4. Therefore, Joanne can distribute her campaign materials to a maximum of 4 classrooms without any materials being left over. It is important to note that, in each classroom, there would be 5 (20/4) flyers and 4 (16/4) buttons.
Learn more about Greatest Common Divisor here:https://brainly.com/question/23270841
#SPJ
Kelsey has saved $35 towards the cost of A $390 video game in the weeks to come she plans to save in additional $10 per week use unit analysis to represent them out just saved after W weeks and identify the units for the expression
390-35=355
355-10w
355/10=35.5
355-10(35.5)
35 and a 1/2 weeks
36 weeks to have the full amount needed
Answer:
36th weeks
Step-by-step explanation:
Kelsey has saved $35 to buy a video game worth $390.
She plans to save additional $10 per week.
Let w represents number of week.
Let s represents total saving in w weeks.
Addition saving per week = $10
In w weeks saving = 10w
Previous saving amount = $35
Total saving in w week, s = 35 + 10w
Expression which represents total saving in w weeks
s = 35 + 10w
Now find number of weeks to save $390
So, put s=390 and solve for w
35 + 10w = 390
10w = 390 - 35
w = 355÷10
w = 35.5
Hence, Kelsey will save $390 in 36th weeks.