Mrs. Santos is buying binders for the students in her class. She determined that 15 binders would cost $22.50.
Cost of Binders
On a coordinate plane, a graph titled Cost of Binders has number of binders on the x-axis and total cost in dollars on the y-axis. The line goes through points (0, 0) and (15, 22.5).
If all of the binders cost the same amount, which statement is true?
It will cost $12 for 18 binders.
It will cost $20 for 30 binders.
It will cost $42 for 28 binders.
It will cost $48 for 48 binders.
Answer:
It will cost $42 for 28 binders
Step-by-step explanation:
We know that 15 binders = 22.50 dollars . We need to find the cost of 18, 30, 28, and 48 binders to figure out if they match up with the statements. One way to do this is to find the cost for one binder, and then multiply that by the number of binders to find the cost for a certain number of binders. For example, if one binder costs 2 dollars, five binders would cost 2 * 5 = 10 dollars.
To figure out how much one binder costs, we can use the division property of equality to divide both sides of our equation (15 binders = 22.50 dollars) by 15. We divide by 15 because anything divided by itself is equal to 1, and that would make it 1 binder = something dollars.
Applying this, we get
(15 binders)/15 = (22.5 dollars)/15
1 binder = 1.5 dollars
For 18 binders, this would cost 1.5 * 18 = 27 dollars. We know this because we add 1.5 dollars for each binder.
For 30 binders, this would cost 30*15=45 dollars
For 28 binders, this would cost 1.5 * 28 = 42 dollars
For 48 binders, this would cost 1.5*48 = 72 dollars
The only one that matches up is 28 binders for 42 dollars
Answer:
$42 for 28 binders.
Step-by-step explanation:
B
pls help i want it now
Answer:
18kg is the correct answer
find the distance of gap d
Answer:
[tex]\displaystyle d \approx 15.8768[/tex]
Step-by-step explanation:
We want to find the distance of d or AB.
From the right triangle with a 35° angle, we know that:
[tex]\displaystyle \tan 35^\circ = \frac{50}{PB}[/tex]
And from the right triangle with a 42° angle, we know that:
[tex]\displaystyle \tan 42^\circ = \frac{50}{PA}[/tex]
AB is PA subtracted from PB. Thus:
[tex]\displaystyle d = AB = PB - PA[/tex]
From the first two equations, solve for PB and PA:
[tex]\displaystyle \frac{1}{\tan 35^\circ } = \frac{PB}{50} \Rightarrow PB = \frac{50}{\tan 35^\circ}[/tex]
And:
[tex]\displaystyle \frac{1}{\tan 42^\circ } = \frac{PA}{50} \Rightarrow PA = \frac{50}{\tan 42^\circ}[/tex]
Therefore:
[tex]\displaystyle d = AB = \frac{50}{\tan 35^\circ} - \frac{50}{\tan 42^\circ}[/tex]
Using a calculator:
[tex]\displaystyle d= AB \approx 15.8768[/tex]
Find AC..................
Answer:
Does the answer help you?
ANSWERRRR IF UR COOL!! Plssss ILL MARK BRAINLEST Ty!!! So much ilyyyyyyy
Answer number 3. Since it's obvious in the picture.
Answer:
-2 and -1
Step-by-step explanation:
Thus ; from -1 we will move to -1.5,-2 moving to -2.5 and continuous
Which of the following functions has a horizontal asymptote at y = 2?
Answer: The first graph
Step-by-step explanation:
An asymptote is an imaginary line that the function is approaching but never reaching. y=2 is a horizontal line. Therefore by looking at the graphs, the first graph shows the two functions never approaching 2, but gets very close to it. Therefore it is the first graph.
Given:∠H≅∠K Prove: ∆HMG≅∆KMJ
Answer:
what the heck is this. what grade u in cuz im skipping it
Step-by-step explanation:
plzzz answer asap!! The SkyWheel has a diameter of 181 feet. What is the radius? (Don't round and just write the numerical answer, no units)
Answer:
181 ÷ 2
= 90.5 feet
...........
Square 1 has an area of 24 square units. If square 2 is half the size, what is the ratio of the area of square 1 to square 2.
Answer:
12
Step-by-step explanation:
I'm going to guess that 1/2 the size means the sides are 1/2 the size.
Square 1 has an area of 24. The sides are s, so the area is found by using s^2
The second square is made from sides that are 1/2 s
Area = 1/2 s * 1/2 s
Area = 1/4 s^2
Area 1 / area 2 = 24 / x^2 = s^2 / 1/4 s^2 = 1/0.25
What does the numerator of the fraction 4/3 mean?
Choose 1 answer:
(Choice A)
There is 4 parts per whole.
-
(Choice B)
There are 3 parts per whole.
-
(Choice C)
We are counting 3 parts
-
(Choice D)
We are counting 4 parts.
choice A bcs 4 is the numerator and 3 is the denominator
PLEASE HELPPPPPPPP!!!!!!!!
Answer:
True
Step-by-step explanation:
tan B = sin B / cos B = 3/4 Let sin B =3 and cos B = 4
Cot B = cos B / sin B = 4/3
This is true
The scores of James in his math test are 75, 78, 89, and 71. What score on the next test will make James’ average at least 80 ?
x > 87
x > 87
x < 87
x < 87
Answer: x ≥ 87
Step-by-step explanation:
Set the minimum score on the next test as x & calculate it:
[tex]\frac{75+78+89+71+x}{5} =80\\\\75+78+89+71+x=80(5)\\\\313+x=400\\\\x=400-313=87[/tex]
So they need at least a score of 87 for the average to be 80+.
Answer:
x ≥ 87
Step-by-step explanation:
A straight line PQ cuts the x andy axis at M and N respectively. If the points A(-3,5) and B(4,7) lies on PQ , calculate
1.the coordinate of M and N
2./AB/, correct to one decimal place
3.The eqation PQ
I need answers urgently.
pls
Aubrey buys 12 bottles of orange juice at the corner store for a total cost of $6.36. If each bottle costs the same amount, how much is each bottle of juice?
6.36 / 12 = 0.53
just decide the total price by the number of items. given that there are no special discounts, that's all you need to do here.
- 100
-V4
L.A.1
ints
3. What is the simplest form of
a. -51
b. 25i
c. -251
d. 5i
Answer:
- 5i
Step-by-step explanation:
sqrt(-100) / -sqrt(4)
We know that sqrt(a) / sqrt(b) = sqrt(a/b)
- sqrt(-100/4)
- sqrt(-25)
We know that sqrt(ab) = sqrt(a) sqrt(b)
- sqrt(25) sqrt(-1)
We know sqrt(-1) = i
Taking the principle value of sqrt(25)
- 5i
The derivative of f(x) = x3 – 12x + 5 is 3x2 – 12 . Find the coordinates of the turning points of f(x)
Answer:
(-2, 21) and (2, -11) let me know if anything didn't make sense
Step-by-step explanation:
Try and put the symbols in, so for x to the third power write x^3 just makes it all much easier.
The turning point is when a graph changes from increasing to decreasing, or the other way around. What this means is that its slope is changing from positive to negative, or the other way around.
The derivative allows you to find the slope at any point of a graph. If you are unfamiliar witht his concept let me know and I can go more into it.
Since the derrivative tells you the slope, if you find a spot where it equals 0 then you know before that point it was positive or negative, and then after that point it was the opposite. In other words it changes, so it's exactly what we are looking for. Also if a derrivative is ever non existant, like in the square root function the numbers under the square root cannot be negative, so any x value that makes them negative doesn't exist, this means you would want to check these point too because they can be turning points as well.
There are certain special cases where a derivative does not coss 0, and if that happens then the original function does not have a turning point. So keep that in mind.
The derivative is 3x^2 - 12. So we want to find when this equals 0. We also know it always exists so only need to worry about the 0s. Hopefully you are familiar with quadratics having two zeroes, if not let me know.
3x^2 - 12 = 0
3x^2 = 12
x^2 = 4
x = 2 and-2
So these are the turning points. You should double check though and choose an x value below -2, then between -2 and 2, then larger than 2 and make sure the signs swap.
These are the x values of the turning points. Solve f(x) at these points to find the y values. so f(-2) = (-2)^3 - 12(-2) + 5 = 21 and f(2) = -11 so now we know the turning points are (-2, 21) and (2, -11)
The coordinates of the turning points of f(x) are (-2, 21) and (2, -11).
What is differential equation?An equation containing derivatives of a variable with respect to some other variable quantity is called differential equations. The derivatives might be of any order, some terms might contain product of derivatives and the variable itself, or with derivatives themselves.
The turning point is when a graph changes from increasing to decreasing, or the other way around that means, its slope is changing from positive to negative.
Given that the derivative of f(x) = x³ – 12x + 5 is 3x² - 12.
Since the derrivative tells the slope, if you find a spot where it equals 0 then before that point it was positive or negative, and then after that point it was the opposite.
The derivative is 3x² - 12.
3x² - 12 = 0
3x² = 12
x² = 4
Thus, x = 2 and-2
So, these are the turning points.
Now Solve f(x) at these points to find the y values.
so f(x) = x³ – 12x + 5
f(-2) = (-2)³ - 12(-2) + 5 = 21
f(2) = -11
Hence, the coordinates of the turning points of f(x) are (-2, 21) and (2, -11).
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ2
A giant pie is created in an attempt to break a world record for baking. The pie is shown below:
A circle is shown with a central angle marked 45 degrees and the diameter marked 15 feet.
What is the area of the slice of pie that was cut, rounded to the nearest hundredth?
The area of the slice of pie that was cut, rounded to the nearest hundredth is 22.08 square feet.
The slice of pie will form a sector as shown;
The area of the slice of pie will be expressed as:
[tex]A=\frac{\theta}{360}* \pi r^2[/tex]
[tex]\theta\\[/tex] is the central angle = 45 degrees
r is the radius
[tex]r=\frac{d}{2}\\r= \frac{15}{2}\\r= 7.5feet[/tex]
Substitute the given values into the formula above;
[tex]A=\frac{45}{360} * 3.14*7.5^2\\A=\frac{1}{8} * 176.625\\A=22.08ft^2[/tex]
Hence the area of the slice of pie that was cut, rounded to the nearest hundredth is 22.08 square feet.
The area of the slice of pie that was cut, rounded to the nearest hundredth is 22.08 square feet.
Learn more about an area of a sector here: https://brainly.com/question/12792310
Answer:
the guy on top is right
Step-by-step explanation:
i took the test
Solve :-
2y+1=17
......
Answer:
Solution given:
2y+1=17
subtracting both side by 1
2y+1-1=17-1
2y=16
dividing both side by 2
2y/2=16/2
y=8
The value of y is 8.Daisy (5,9,2,6,14,3)
Milkweed (10,8,22,12,12,9)
Coneflower (3,7,2,10,16,7)
A biology class took a field trip. The students counted the number of daisy, milkweed, and coneflower plants in six different locations. The data sets are shown above. What is the overall range in the number of plants for all three types of plants?
Answer:
The overall range is 20
Step-by-step explanation:
Given
The above dataset
Required
The overall range
Range is calculated as
[tex]Range = Highest - Lowest[/tex]
The highest of the dataset is 22, and it can be found in Milkweed.
The lowest of the dataset is 2, and it can be found in Daisy
So, the range is:
[tex]Range = 22 - 2[/tex]
[tex]Range = 20[/tex]
1-tanx/1+tanx=1+sin2x
are you sure about the ques?
PLEASE HELP ME WITH THIS !!!
9514 1404 393
Answer:
(x -2)^2/16 +(y +2)^2/4 = 1
Step-by-step explanation:
The equation of an ellipse is ...
((x -h)/a)^2 +((y -k)/b)^2 = 1
where (h, k) is the center, and 'a' and 'b' are the semi-axes in the x- and y-directions respectively.
Here, we have (h, k) = (2, -2), and a=6-2 = 4, b = 0-(-2) = 2. Then the equation is ...
((x -2)/4)^2 +((y +2)/2)^2 = 1
More conventionally, the denominators are multiplied out, so this is ...
(x -2)^2/16 +(y +2)^2/4 = 1
An item is regularly priced at $95. It is on sale for 85% off the regular price.
Answer:
14.25
Step-by-step explanation:
95*0.85=80.75
95-80.75=14.25
Answer:
The sale took $14.25 off the original price, so the item is currently $80.75 with the sale.
Please help me find the area of the figure!!
Answer: 199 square yards
Step-by-step explanation:
If you break it down into 3 rectangles it’ll be easier to find the answer. Multiply it by H x W. First you do the 6 x 10. And then afterwards add the extra 5 to the 6 and it’ll make the
H = 11, and the W is 4. And then add the last 3 to H and it’ll make it 19 and the last W is 5
6 x 10 = 60
11 x 4 = 44
19 x 5 = 95
Total of 199
Hope this helps :)
find the missing length indicated
Answer:
108Step-by-step explanation:
Use the ratio of corresponding sides of similar triangles:
81 / x = x / 144x² = 81*144x = [tex]\sqrt{81*144}[/tex]x = 9*12x = 108Answer:
x = 108
Step-by-step explanation:
x is the height
from the Euclidian theorem we know that :
x^2 = 81*144
x^2 = 11664 find the root for both
x = 108
please answer all the step wise step
factorise
1. a^2 - b^2 - 4a +4
2. x^2 -xy - 3x +2 +2y
3. 4x^2 - 4a^2 - 4a - 1
4. x^2 + 3x + 2 + ax + 2a
5. 7 ( x - 1/x )^2 + 15 ( x - 1/x ) + 2
6. 64 - 144x + 108x^2 - 27x^3
7. ab^2 - b ( a-c ) - c
8. p^2 - a ^2 - 2pr + r^2
Answer:
click the link below for further explanation
Step-by-step explanation:
https://genius.com/Rick-astley-never-gonna-give-you-up-lyrics
URGENT PLS HELP. pls but why or why not thank you:))
Answer:
No the relation is not a function
Step-by-step explanation:
A function by definition will have a unique output for every input, so there should be no repeating outputs, however, the clinic cares for 2 legged animals (birds) as well as 4 legged animals (cats and dogs). With this being said, if a clinic has 2 animals(input), the amount of legs(output) could be 8 if two dogs, or it could be 4 if two birds, or even six if a dog and bird.
If this were a function, the clinic would undeniably have different amounts of legs having two animals opposed to one animal, but this isn't true. if the clinic has 2 birds(input), there'd be 4 legs(output). but the clinic would also have 4 legs(output) if it had 1 dog(input). the output is the same for two different inputs
This shows the output is varying depending on the type of animal since the amount of legs changes, rather than the amount of animals.
Hope this helps :)
Which of the following is equivalent to:
-(3x + 2)
Select one:
a.
-3x + 2
b.
-6x
c.
-5x
d.
-3x - 2
Answer:
D is the answer
-(3x + 2)
d) -3x-2
Answer:
d
Step-by-step explanation:
Given
- (3x + 2) which is equivalent to
- 1 (3x + 2) ← multiply each term in the parenthesis by - 1
= - 3x - 2 → d
Question 4 (Essay Worth 10 points)
(05.06 MC)
The distance, y, in centimeters, of an ant from a hole in the tree for a certain amount of time, x, in seconds, is shown in the graph:
A graph titled Motion of Ant is shown. The graph shows time in seconds on the x-axis and the Distance from Hole in centimeters on the y-axis. The scale on the x-axis is shown from 0 to 7 at increments of 1, and the scale on the y-axis is shown from 0 to 24 at increments of 4. The graph has 3 straight lines. The first line is labeled A and joins ordered pairs 0, 0 and 2, 16. The second line is labeled B and joins ordered pairs 2, 16 and 4, 16. The third line is labeled C and joins ordered pairs 4, 16 and 6, 0.
Part A: Is the graph linear or nonlinear? Explain your answer. (2 points)
Part B: In which segments is the graph increasing, decreasing, and constant? (3 points)
Part C: In your own words, describe the motion of the ant, as shown on the graph. (5 points)
Source
StylesFormat
The motion of the ant is a nonlinear graph;
It has its increasing segment at segment A, the constant segment at B and the decreasing segment at C.
THE TYPE OF GRAPH
The graph has 3 different straight lines, all of which point to different directions.
For a graph to be linear, such graph must have just 1 straight line. This means that the graph is nonlinear.
THE SEGMENTS OF THE GRAPH
The increasing segment of the graph is the segment that points in the upward direction.
In the attached graph, line segment A [i.e. from (0,0) to (2,16)] represents an upward movement of the ant because it points upward.
The decreasing segment of the graph is the segment that points in the downward direction.
In the attached graph, line segment C [i.e. from (4,16) to (6,0)] represents a downward movement of the ant because it points downward.
The constant segment of the graph is the segment that is represented by a horizontal line
In the attached graph, line segment B [i.e from (2,16) to (4,16)] represents the constant segment.
THE MOTION OF THE GRAPH
The ant travels at a constant speed through segment A. It then rests for 2 seconds in segment B and finally travels at a constant speed through segment C.
Learn more about graphs at:
https://brainly.com/question/9348683
Answer: got 100% on test
Step-by-step explanation:
Part A: This graph is not a linear function, because a linear function is a function whose graph is represented by a straight line and this graph does not represent a straight line. Which means it is a nonlinear function, because a non-linear function is any function that is not a linear function.
Part B: In line segment A the graph is increasing. In line segment B the graph is remaining constant. In line segment C the graph is decreasing.
Part C: The ant ran 16 cm up the hill in 2 seconds. It took 2 seconds to find his hole after that, then he ran all the way down his hole in 2 seconds.
Alexandra is trying to factorise fully15y + 30. Rebecca says the answer is 3(5y + 10) Victoria says the answer is 5(3y + 6) Alexandra says both Rebecca and Victoria are incorrect, why?
Answer:
Step-by-step explanation:
They are not wrong exactly. Their answers are just incomplete. They did not take the factoring process to it's end.
Victoria could pull out another three.
Rebecca could pull out another five.
The answer is 15(y + 2)
Answer:
because: 3(5y + 10)=15y+30 (Distributive property between addition and multiplication )
the same we have 5(3y + 6)=15y+30
Step-by-step explanation:
[tex]\frac{\sqrt{x} +1}{x-\sqrt{x} +1}[/tex] Với x≥0. Tìm GTLN
Answer:
Step-by-step explanation:
[tex]\frac{\sqrt{x}+1 }{x-\sqrt{x}+1 }=\frac{\sqrt{x}+1}{(x+1)-\sqrt{x}}\\\\=\frac{(\sqrt{x}+1)([x+1]+\sqrt{x})}{([x+1]-\sqrt{x})+([x+1)+\sqrt{x}])}\\\\=\frac{\sqrt{x}*x+\sqrt{x}*1+\sqrt{x}*\sqrt{x}+1*x+1*1+1*\sqrt{x}}{(x+1)^{2}-(\sqrt{x})^{2}}\\\\\\=\frac{x\sqrt{x}+\sqrt{x}+x+1+x+\sqrt{x}}{x^{2}+2x+1-x}\\\\=\frac{x\sqrt{x}+2\sqrt{x}+2x+1}{x^{2}+x+1}\\\\[/tex]
