Answers
Each CD costs $11. Therefore the total cost of the CDs is 11 × the amount of CDs, which is represented by y. Hence, the total cost if the cassettes is 11y.
You can at maximum spend $ 39 .
So the cost will always be smaller than or equal to $39. Hence, the inequality will be:
[tex]5x + 11y \leqslant 39[/tex]
Related Questions
Write the slope-intercept equation of the line parallel to 5y = 2x + 20 that goes through (-1, 3).
Answers
The first thing I'll do is solve "5y = 2x + 20" for "y=", so that I can find my reference slope:
y = (2/5)x + 4;
So the reference slope from the reference line is m = 2/5;.
Now I need to find two new slopes, and use them with the point they've given me; namely, with the point (-1, 3). They want me to find the line through (4, –1) that is parallel to 5y = 2x + 20; that is, through the given point, they want me to find a line that has the same slope as the reference line.
Since a parallel line has an identical slope, then the parallel line through (-1, 3) will have slope m = 2/5. Now I have a point and a slope! So I'll use the point-slope form to find the line: y - 3 = (2/5)( x + 1);
Finally, y = (2/5)x + 17/5;
Solve please This is Composite Figures :)
Answers
.. A = 2*(20 yd)^2 +(π/4)*(20 yd)^2
.. = (2 +π/4)*(400 yd^2)
.. = (800 +100π) yd^2
.. ≈ 1114.16 yd^2
The perimeter is that of a 20 yd circle and 80 yd more.
.. P = π*20 yd + 80 yd
.. ≈ 142.83 yd
Graph y = sin(x) on the graphing calculator. Use the graph to determine the height of the barnacle with respect to water level as the boat has traveled the given distance. When the boat has traveled 7 meters, the height of the barnacle is approximately:
Answers
Answer:
The height of the barnacle is approximately is, 0.657 meters.
Step-by-step explanation:
Given the graph below of y =sin(x) ......[1]
Let y be the height of the barnacle and x be the distance the boat has traveled
Given: The boat has traveled 7 meters
i.e, x = 7 meters
to find the height y :
Substitute the value of x =7 meters in [1] we have;
y = sin(7) ≈0.657.
Therefore, the height of the barnacle is approximately is, 0.657 meters.
you can see also in the graph as shown below:
Answer:
1st is C 2nd is B
Step-by-step explanation:
What is the measure of angle C?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
Answers
1. You can calculate the angle C as following:
Tan⁻1α=opposite/adjacent
α=C
opposite=3
adjacent=4
2. When you susbtitute the values, you obtain:
Tan^-1(C)=(3/4)
3. Then, you have that the measure of the angle C is:
C=36.87°
Therefore, as you can see, the answer is: 36.87°
Answer:
36.87
Step-by-step explanation:
Just took the k12 test!!
15.21–3.9–4.7+6.79 Calculate in the fastest way possible!
Answers
Your answer is 13.4
Hope this helps :))
Answer:
13.4
Step-by-step explanation:
=15.21-3.9-4.7+6.79
=15.21+6.79-3.9-4.7
=22-3.9-4.7
=18.1-4.7
=13.4
Samuel paid $720 for a new music system. The list price for the music system was $800. What was his rate of discount?
Answers
Samuel received a 10% discount on the music system, calculated by finding the difference between the list price ($800) and the sale price ($720), then dividing that by the list price and multiplying by 100.
Explanation:The question at hand is about calculating the rate of discount Samuel received on his new music system. Initially, the list price of the music system was $800, but Samuel paid $720 for it. To find the rate of discount, we first need to determine the discount amount which is the difference between the list price and the sale price.
List Price = $800Sale Price = $720Discount Amount = List Price - Sale Price = $800 - $720 = $80Next, to find the rate of discount, we use the formula:
Rate of Discount = (Discount Amount / List Price) × 100
Substituting the values we have:
Rate of Discount = ($80 / $800) × 100 = 10%
Therefore, Samuel received a 10% discount on the music system.
the slope of a line is negative 1 / 5 and the y-intercept is 5 what is the equation of the line written in general form
Answers
Answer;
= x + 5y -25 =0
Explanation;
Thee equation of a line in general form is ;
Ax + By + C = 0
Where A, B and C are integers.
The equation of a line in slope-intercept form is
y = mx + b ; where m is the slope and b is the y-intercept
In this case; m = -1/5 and b =5
thus; y = -1/5 x + 5 (the slope-intercept form)
y = -1/5 x + 5
Multiplying all terms by 5
5 y = -x + 25
= x + 5 y - 25 = 0 (in general form)
Help!! does x = 2??
An equation is shown below:
4(2x - 5) + 15 = 11
Write the steps you will use to solve the equation and explain each step.
Answers
8x=11+20-15
8x=16
x=2
Here are the steps to solve for x:
4(2x - 5) + 15 = 11
8x - 20 + 15 = 11
8x = 16
x / 8 = 16 / 8
x = 2
Therefore, your answer is correct :) Good job!
What is the length of z ?
Answers
Answer:
The length of z is [tex]3\sqrt{3}[/tex] unit
Step-by-step explanation:
First Label the diagram as shown in the attachment:
In right [tex]\triangle ABC[/tex];
first find the value of y:
Use Pythagoras theorem states that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares on the other two sides.
In [tex]\triangle ABC[/tex]
length of AB =6 unit , length of BC =y unit and the length of AC = 3+9 =12 unit
Now, using Pythagoras theorem to get the value of y;
[tex]AB^2+BC^2=AC^2[/tex]
[tex]6^2+y^2=12^2[/tex] or
[tex]36+y^2=144[/tex] or
[tex]y^2=144-36[/tex]=108 or
[tex]y=\sqrt{108}[/tex]
on simplify we get, [tex]y=6\sqrt{3}[/tex] unit
Therefore, the length of BC is [tex]6\sqrt{3}[/tex] unit.
now, in [tex]\triangle BDC[/tex]
using Pythagoras theorem to find the value of z;
[tex]BD^2+CD^2=BC^2[/tex]
Putting the values of BD = z units , BC = [tex]6\sqrt{3}[/tex] unit and DC = 9 units we have,
[tex]z^2+9^2=(6\sqrt{3})^2[/tex] or
[tex]z^2+81=108[/tex] or
Simplify:
[tex]z^2=27[/tex] or
[tex]z=\sqrt{27} = 3 \sqrt{3}[/tex]
Therefore, the value of length z is [tex]3\sqrt{3}[/tex] unit
WILL GIVE BRAINIEST!! I need your help!
Answers
as in Q#24:
(f o g)(x)= f(g(x)) but [tex] f(x)=(x+2)^{2}[/tex] so in case of f(g(x)) means that we have to eliminate each x in the function f(x) and substitute it with the value of g(x) as the following:
[tex] f(g(x))=(g(x)+2)^{2}[/tex] but [tex]g(x)=\sqrt{x}-2[/tex] so we have to substitute with the value of g(x) in the last equation
[tex] f(g(x))= (\sqrt{x}-2+2)^{2}=(\sqrt{x})^{2}=x[/tex]
by the same way (g o f)(x), it means that g is a function of f where f is a function of x.
so [tex] (g o f)(x)=g(f(x))=\sqrt{f(x)} -2 =\sqrt{(x+2)^2} -2 =x+2-2 =x [/tex]
If you followed the same procedure, u would figure out how to solve the rest urself.
What is the equation of the axis of symmetry for the parabola y equals start fraction one over three end fraction left parenthesis x plus one right parenthesis squared minus three?
Answers
Explanation:
Our equation is
[tex]y=\frac{1}{3}(x+1)^2-3[/tex].
This is in vertex form, which is
y = a(x-h)² + k, where (h, k) is the vertex.
In our equation, h corresponds with -1 and k corresponds with -3, making the vertex (-1, -3).
The axis of symmetry is the x-coordinate of the vertex; this makes the axis of symmetry for this equation x = -1.
(−3)∙(3a−2b)−6(2a−4b)
Answers
-21a+30b
WILL GIVE BRAINLIEST
WILL GIVE BRAINLIEST AND 50 points
out of a port departed a steam boat with a speed of 36.8km/h. In 1.75 hours out of the same port and going the Sam direction departed a speed boat. In 1.8 hours after the the department of the speed boat, the distance between the speed boat and the steam boat was 86.9km. What was the speed boats speed in km/h?
Answers
steam boat:
r1 = (36.8) * t
speed boat:
r2 = v * (t-1.75)
The distance between the boats is:
d = r2-r1 = v * (t-1.75) - (36.8) * t
Substituting t = 1.8 and d = 86.9 we have:
86.9 = v * (1.8-1.75) - (36.8) * 1.8
We clear the speed:
v = (86.9 + (36.8) * 1.8) / ((1.8-1.75))
v = 3062.8 Km / h
Answer:
the speed boats speed in km / h is:
v = 3062.8 Km / h
Answer: the speed boats speed in km / h is:
v = 3062.8 Km / h
Linwood has 38 nickels, 32 dimes, 11 quarters, and 17 fifty-cent pieces. How much money does he have?
A. $16.35
B. $15.15
C. $14.85
D. $16.65
Answers
32 dimes = $3.20
11 quarters = $2.75
17 fifty-cent pieces = $8.50
All together, it would be $16.35.
So A is the correct answer.
Hopefully this helps. :)
I rly need help in geometry
Answers
ratio of leg : leg : hypo = x : x : x√2
so
y = 7
x = 7√2
Is it possible for two integers to have no common factors
Answers
Final answer:
Two integers can have no common factors, making them coprime or relatively prime.
Explanation:
Yes, it is possible for two integers to have no common factors. When two integers have no common factors, they are considered relatively prime or coprime. For example, 15 and 28 are coprime because the only positive integer that divides both numbers is 1.
8x+10=12x-18
Find the value of x
Answers
What is the area of the polygon?
Answers
Answer C
13*(12-3)+3*10=147
.
(07.01)
Four polynomials are shown below:
A. 3 − 7x5 + x2
B. 5x3 + 5 − 3x
C. 3x + 2x3 − x2 + 6 + 2x
D. 3x3 − 5 + 2x5 + x + 2x2
Which of the above polynomials is a 5th degree trinomial?
Answers
Therefore, your answer is A because there is an x to the 5th power, and three different components (3, -7x^5, and x^2)
Answer: The answer you are looking for is option A which would be 3 - 7x^5 +x^2
Step-by-step explanation: It is a 5th degree trinomial because, there are three terms in this equation being 3, 7x^5, and x^2; this makes it a trinomial becuase there are three terms. What makes this a 5th degree is the fact that the highest exponet is 5.
Which number produces an irrational number when added to 0.4
Answers
To find an irrational number when added to 0.4, you need to add an irrational number. One example is adding the square root of 2 to 0.4.
To find a number that produces an irrational number when added to 0.4, let's consider a rational number like 0.6.
Irrational numbers are infinite in nature and cannot be represented accurately as a finite decimal or fraction. They exist along with rational numbers, forming the set of real numbers on the number line.
0.4 + 0.6 = 1, which is rational.Rational + Irrational = Irrational, so to get an irrational number, you need to add an irrational number.One example of an irrational number you can add to 0.4 to get irrational is √2 - 0.4, where √2 is irrational.Which image that would portray the rotation of the given preimage and the rotation arrow.
Pre-image (1st picture shown):
Image (the following 4 pictures are the options):
Answers
Answer:
First figure as shown below is the correct option.
Step-by-step explanation:
We are given that,
The pre-image is rotated in the direction of the arrow to form an image.
It is required to find the image formed.
Since, the arrow is rotating counter-clockwise, we get that,
The star in the pre-image will rotate upwards towards the left.
So, according to the options, we have,
The first image where the star is at the highest height will be the image after rotating the pre-image.
Hence, the first figure as shown below is the correct option.
The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = (x – 12). What is the standard form of the equation for this line?
Answers
.. y -1 = (1/4)(x -12)
.. 4y -4 = x -12 . . . . multiply by 4
.. x -4y = -4 +12 . . . add 12-4y
.. x -4y = 8 . . . . . . . the equation in standard form
Please help! How did the failure of the League of Nations help contribute to instability in Europe?,
Answers
A magazine published a list consisting of the state tax on each gallon of gas. If we add the 50 state tax amounts and then divide by??? 50, we get 27.3 cents. Is the value of 27.3 cents the mean amount of state sales tax paid by all U.S.??? drivers? Why or why??? not?
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To find the mean, we divided by 50 because there are 50 states. However, the number of people in each state is not equal. Therefore, the 50 states should not be treated as they are equal.
To find the mean correctly, we would have to find weight the value of each state according to the number of people in the state.
In an orchard, there are 15 apple trees,27 orange trees,,and a cherry tree.what is the ratio of orange trees?
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The product of 0.1400 × 6.02 × 1023 will have how many significant figures?
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0.1400 has 4 sig figs, 6.02 has 3, and 1023 has 4. when calculating significant figures for a multiplication or division equation, the product or quotient will have the same amount of significant figures as the number with the least amount of significant figures (in this case: 6.02).
Answer:
3
Step-by-step explanation:
We are given that an expression
[tex]0.1400\times 6.02\times 10^{23}[/tex]
We have to find the number of significant figures in the product .
In 0.1400 , there are 4 significant figures
In [tex]6.02\times 10^{23}[/tex], there are three significant figures
[tex]0.1400\times 6.02\times 10^{23}[/tex]
[tex]0.8428\times 10^{23}[/tex]
In multiplication, we have to precise the final answer to least significant figures.
Therefore, the final answer=[tex]0.843\times 10^{23}[/tex]
Hence, three significant figures in the product.
What is the wavelength of an earthquake wave if it has a speed of 7 km/s and a frequency of 3 Hz?
Answers
wavelength = speed / frequency (5000m/s /10Hz)
Answer: Our wavelength will be 2333.3 m.
Step-by-step explanation:
Since we have given that
Wave speed = 7 km/ s
Frequency = 3 Hz
We need to find the wavelength of an earthquake wave:
As we know that :
[tex]Frequency=\dfrac{Wave\ speed}{wavelength}[/tex]
First we convert km/sec to m/sec.
So, 7 km/sec= 7000 m/sec
so, our wavelength becomes
[tex]\dfrac{Wave\ speed}{frequency}\\\\\\=\dfrac{7000\ m/sec}{3\ Hz}\\\\\\=2333.33\ m[/tex]
So, our wavelength will be 2333.3 m.
Ava bought a rectangular rug for her hallway. The rug is 2/3 yards wide and 2 3/4 yards long.
What is the area of the rug as a mixed number in simplest form?
Enter your answer in the box.
Answers
Two squares are drawn. The larger Square has area of 400 in.². The area of the two squares have a ratio of 1 to 4. What is the side length S of the smaller square?
Answers
For this, we use the following relationship:
A1 / A2 = 4/1
Substituting:
400 / A2 = 4/1
From here, we clear A2:
A2 = (1/4) * (400)
A2 = 100 in ^ 2
We now look for the side of the small square, we use the following relationship:
A = S ^ 2
We cleared S:
S = root (A)
S = root (100)
S = 10 in
Answer:
the side length S of the smaller square is:
S = 10 in
Answer: S=10 in
Step-by-step explanation:
The first thing we must do in this case is to find the area of the smallest square.
For this, we use the following relationship:
A1 / A2 = 4/1
Substituting:
400 / A2 = 4/1
From here, we clear A2:
A2 = (1/4) * (400)
A2 = 100 in ^ 2
We now look for the side of the small square, we use the following relationship:
A = S ^ 2
We cleared S:
S = root (A)
S = root (100)
S = 10 in
I copied the guy above me 4 points
what other information do you meed to prove ΔABE≌ΔEDA by SSS .5pts
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You need to show AB ≅ ED. Knowing AEC is isosceles with base EC (2nd selection) is equivalent to knowing ∠E ≅ ∠C (1st selection). All that tells you is AC ≅ AE, which is not what you need. Likewise, the 4th selection tells you AE ≅ CE, which doesn't help, either (for the same reason).