Answer:
25
Step-by-step explanation:
Charlotte bought 16 songs for her MP3 player. Three-fourths of the songs are classical songs. How many of the songs are classical songs?
athaniel is using the quadratic formula to solve 0 = x2 + 5x - 6. His steps are shown below. What are the solutions to the equation? x = –1, 6 x = –6, 1 x = –22, 27 x = –27, 22
Answer:
x = - 6 or x = 1
Step-by-step explanation:
given a quadratic equation in standard form : ax² + bx + c = 0 : a ≠ 0
then the equation can be solved using the quadratic formula
• x = ( - b ± [tex]\sqrt{b^2-4ac}[/tex]) / 2a
x² + 5x - 6 = 0 is in standard form
with a = 1, b = 5 and c = - 6
x = (- 5 ± [tex]\sqrt{5^2-(4(1)(-6)}[/tex]) / 2
= (- 5 ± [tex]\sqrt{25+24}[/tex]) / 2
= (- 5 ± [tex]\sqrt{49}[/tex]) / 2
x = [tex]\frac{-5-7}{2}[/tex] = [tex]\frac{-12}{2}[/tex] = - 6
or x = [tex]\frac{-5+7}{2}[/tex] = [tex]\frac{2}{2}[/tex] = 1
The solutions to the quadratic equation x² + 5x - 6 = 0 are x = 1 and x = -6.
Explanation:To solve the quadratic equation x² + 5x - 6 = 0, Nathaniel used the quadratic formula.
The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), where a, b, and c correspond to the coefficients of the quadratic equation.
In this case, a = 1, b = 5, and c = -6.
Substituting these values into the quadratic formula, we get x = (-5 ± √(5² - 4(1)(-6))) / (2(1)).
Simplifying further, we have x = (-5 ± √(25 + 24)) / 2.
This yields two solutions: x = (-5 + √49) / 2 and x = (-5 - √49) / 2.
Simplifying the square root, we get x = (-5 + 7) / 2 and x = (-5 - 7) / 2.
Therefore, the solutions to the quadratic equation are x = 1 and x = -6.
Lucy bought a 40-ounce bottle of vegetable oil for $7.69. She used 65% of the vegetable oil in three weeks. For the amount of vegetable oil she used in three weeks the approximate cost was?
To calculate the cost of the vegetable oil used by Lucy in three weeks, we need to determine the cost per ounce and then multiply it by the quantity used. In this case, the approximate cost of the oil used is $5.00.
Explanation:To find out the approximate cost of the amount of vegetable oil Lucy used in three weeks, we first need to figure out how much of the 40-ounce bottle she used. As the question states that she used 65% of it, we can calculate it as follows:
Firstly, to find 65% of 40 ounces, we can multiply 40 by 0.65, which gives us 26 ounces. So, this is the amount of oil Lucy used.Next, we need to find out how much does 26 ounces cost. To do this, we need to calculate the cost per ounce which is $7.69 (cost of the bottle) divided by 40 (the amount of ounces in the bottle). This gives us a cost of about $0.19225 per ounce.Now, to find the cost of 26 ounces of oil, we multiply the cost per ounce ($0.19225) by the amount of ounces used (26). So, $0.19225 * 26 = $4.9985 .So, the approximate cost for the amount of vegetable oil Lucy used in three weeks is $5.00, rounded to the nearest cent.
Learn more about Percentage and Cost Calculation here:https://brainly.com/question/29829639
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To find the approximate cost for the amount of vegetable oil Lucy used in three weeks, calculate 65% of the total cost of the 40-ounce bottle of vegetable oil, and the approximate cost is $4.99.
Explanation:To find the approximate cost for the amount of vegetable oil Lucy used in three weeks, we need to calculate 65% of the total cost of the 40-ounce bottle of vegetable oil.
First, calculate 65% of $7.69: 0.65 x $7.69 = $4.99 (rounded).Therefore, the approximate cost for the amount of vegetable oil Lucy used in three weeks is $4.99.Learn more about cost of vegetable oil here:https://brainly.com/question/29267996
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66 L : 120 mL
Simplify the ratio
can someone please help me question is hard
Answer: choice A
f(x) = (1/4)x^2, f(x) = -0.5x^2, f(x) = x^2
=======================================================
The coefficient in front of the x^2 term tells us how wide or narrow the parabola will be. It turns out that the further the coefficient value is from 0, in either direction, this will make the parabola more narrow.
Notice how 1/4 = 0.25 which is less than |-0.5| = 0.5 meaning that f(x) = (1/4)x^2 is wider than f(x) = -0.5x^2
Then comparing f(x) = -0.5x^2 to f(x) = 1x^2, we see that 0.5 is smaller than 1, so f(x) = -0.5x^2 is wider than f(x) = 1x^2
That is why the order from widest to narrowest is f(x) = (1/4)x^2, f(x) = -0.5x^2, f(x) = x^2
A graph shown below helps confirm the answer (note the color coding). In figure 1 is the graph of all three functions together. In figure 2, I reflect the second function help show the comparison of why it's the middle-most in terms of how wide it is (it is the orange parabola, which is the reflection of the red parabola)
Please answer in detail
Answer:
[tex]\dfrac{1}{24}[/tex]
Step-by-step explanation:
1. The student is allowed to choose white, blue, green or black Polo shirts. So the student has 4 possibilities to select shirt and the probability of wearing the blue shirt is [tex]\dfrac{1}{4}.[/tex]
2. The student is allowed to choose khaki, black or plaid skirts/pants. So the student has 3 possibilities to select skirt and the probability of wearing the plaid skirt is [tex]\dfrac{1}{3}.[/tex]
3. The student is allowed to choose black or brown shoes. So the student has 2 possibilities to select shoes and the probability of wearing black shoes is [tex]\dfrac{1}{2}.[/tex]
Now use the product rule for probabilities:
[tex]Pr=\dfrac{1}{4}\cdot \dfrac{1}{3}\cdot \dfrac{1}{2}=\dfrac{1}{24}.[/tex]
Match the following. 1. an angle that measures more than 0° but less than 90° vertical angles 2. two angles that have a common vertex and side but are not overlapping straight angle 3. two angles whose sum is 90° acute angle 4. an angle that measures more than 90° but less than 180° right angle 5. an angle that measures exactly 90° adjacent angles 6. an angle that measures exactly 180° complementary angles 7. two angles whose sum is 180° obtuse angle 8. the point where two line segments, lines, or rays meet to form an angle supplementary angles 9. angles that are opposite from one another at the intersection of two lines; vertical angles are congruent vertex
Answer:
Match the following:
1. An angle that measures more than 0° but less than 90°:
Acute angle.
2. Two angles that have a common vertex and side but are not overlapping:
Adjacent angles.
3. Two angles whose sum is 90°
Complementary angles.
4. An angle that measures more than 90° but less than 180°:
Obtuse angle.
5. An angle that measures exactly 90°:
Right angle.
6. An angle that measures exactly 180°:
Straight angle.
7. Two angles whose sum is 180°:
Supplementary angles.
8. The point where two line segments, lines, or rays meet to form an angle:
Vertex.
9. Angles that are opposite from one another at the intersection of two lines:
Vertical angles.
Step-by-step explanation:
Match the following:
1. An angle that measures more than 0° but less than 90°:
Acute angle.
2. Two angles that have a common vertex and side but are not overlapping:
Adjacent angles.
3. Two angles whose sum is 90°
Complementary angles.
4. An angle that measures more than 90° but less than 180°:
Obtuse angle.
5. An angle that measures exactly 90°:
Right angle.
6. An angle that measures exactly 180°:
Straight angle.
7. Two angles whose sum is 180°:
Supplementary angles.
8. The point where two line segments, lines, or rays meet to form an angle:
Vertex.
9. Angles that are opposite from one another at the intersection of two lines:
Vertical angles.
The terms such as acute angle, adjacent angles, complementary angles, obtuse angle, right angle, straight angle, supplementary angles, vertex, and vertical angles are correctly matched with their respective definitions.
Explanation:The correct matching for the provided terms are as follows:
An angle that measures more than 0° but less than 90° is an acute angle.Two angles that have a common vertex and side but are not overlapping are adjacent angles.Two angles whose sum is 90° are referred to as complementary angles.An angle that measures more than 90° but less than 180° is an obtuse angle.An angle that measures exactly 90° is a right angle.An angle that measures exactly 180° is a straight angle.Two angles whose sum is 180° are supplementary angles.The point where two line segments, lines, or rays meet to form an angle is a vertex.Angles that are opposite from one another at the intersection of two lines; vertical angles are congruent are vertical angles.Learn more about Angles here:https://brainly.com/question/33354646
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Please help need answer please
Answer:
There is one solution
Step-by-step explanation:
You can tell by looking at it that 2x and 3x are different. Both are obtained once the brackets have been removed. So you will get just one answer.
2(x -1) = 3(x - 4) Remove the brackets.
2x - 2 = 3x - 12 Subtract 2x from both sides.
2x - 2x - 2 = 3x - 2x - 12 Combine
-2 = x -12 Add 12 to both sides.
-2 + 12 = x -12 +12 Combine
10 = x
Divide. Round to the nearest tenth if necessary.
65.2 ÷ 26
Please show procedure.
Final answer:
To divide 65.2 by 26, you perform the division to find that 26 goes into 65.2 exactly 2.5 times. Therefore, the answer, when rounded to the nearest tenth, is 2.5.
Explanation:
To divide 65.2 by 26, start with the division process. Place a decimal point directly above the decimal point in the dividend within the answer area. Since 26 does not go into 6, but goes into 65 twice, write 2 above the 5 in the dividend. Multiply 2 by 26 to get 52, and subtract this from 65, which leaves a remainder of 13. Bring down the 2 from the dividend to get 132.
Now, divide 26 into 132, which goes exactly 5 times. Multiplying 5 by 26 gives 130, subtract this from 132 to get a remainder of 2. Because we are left with no more numbers to bring down and our remainder is less than 26, we stop. The answer to 65.2 divided by 26 when rounded to the nearest tenth is 2.5.
There were 48 ants on a hill. Then 13 of the ants marched away.how many ants are still on the hill?
Answer: 35
Step-by-step explanation: 48 - 13 = 35
Answer:
35 ants left
Step-by-step explanation:
you start with 48-13then you turn the problem to 40-10=30then subtract 3 from 8 and get 5then you add 30+5 and get 3525 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!PLEASE HELP ME QUICK !!!!!!!!!!!!!!!!!!!!! Will Give Brainliest!!!!!!!Cara and Cody have there first job. They need to make 9 quarts of violet paint. Cody has figured out that violet paint is made by mixing 1/3 red with 2/3 blue paint.
How much red paint will they need?
How much blue paint?
Explain how you figured it out.
Is this a proportional relationship?
If so, model this using two of the three ways that proportional relationships are represented ( table, graph or equation)
Indicate what the constant of proportionality is in this problem.
Answer:
a 3 quarts
b 6 quarts
c thats in the step by step
d yes
Step-by-step explanation:
c since they have to make 9 quarts of violet paint if you add the number of red and blue paint mixed together you get 1 quart meaning you have to multiply both by nine and if you simply you get what i have above
This is a proportional relationship because you decide whether two quantities are in a proportional relationship, by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.
-hope this helps :D
Which of the following values completes the square or creates a perfect square trinomial for x^2-12x+___
-6
12
36
-36
Answer:
So, 36 completes perfect square
Step-by-step explanation:
we are given
trinomial as
[tex]x^2-12x+......[/tex]
we can square formula
[tex]a^2-2ab+b^2=(a-b)[/tex]
we can see that middle term is 2ab
so, we will factor middle term in 2ab form
[tex]12x=2\times x\times 6[/tex]
We can see that b is 6
so, if we could add 6^2 , then we will get perfect square
[tex]x^2-12x+6^2......[/tex]
[tex]x^2-12x+36......[/tex]
So, we should add 36
so, 36......Answer
Answer: The correct option is
(C) 36.
Step-by-step explanation: We are given to select the value that completes the square or creates a perfect square trinomial for the following incomplete expression :
[tex]E=x^2-12x+?[/tex]
We will be using the following square formula :
[tex]a^2-2ab+b^2=(a-b)^2.[/tex]
Let the required value be represented by c.
We have
[tex]E\\\\=x^2-12x+c\\\\=(x^2-2\times x\times 6+6^2)+c-6^2\\\\=(x-6)^2+c-36.[/tex]
So, for the given expression to be a perfect square trinomial, we must have
[tex]c-36=0\\\\\Rightarrow c=36.[/tex]
Thus, the required value is 36.
Option (C) is CORRECT.
Decide whether the function is an exponential growth or exponential decay function, and find the constant percentage rate of growth or decay.
f(x) = 3.6 ⋅ 1.04x
Answer:
Exponential growth; percentage rate of growth is 4%.
Step-by-step explanation:
The function,
[tex]f(x)=3.6.(1.04)^x[/tex]
represents an exponential growth function because the growth factor is greater than 1.
The general form of an exponential growth function is,
[tex]y=a(1+r)^t=(a).(ar)^t[/tex], where 'r' is the percentage rate of growth.
If we compare the given equation with the standard form of the equation we can see that, we have,
[tex]f(x)=3.6(1+0.04)^x[/tex]
Therefore, the percentage rate of growth is = [tex]0.04 \times 100=4\%[/tex] .
describe why hawaii was seen as an important territory to the United states
The United States was at war with Spain in Cuba and the Philippines. Hawaii was of importance to the military effort because of its location. ... It was at this time that Congress annexed Hawaii because of the economic and military benefit the islands offered.
mark brainliest :)
hope this helped
Answer:
Because of the oceans and all of the undiscovered stuff there. The fact it was an island and could be used as a navy base. Very dessolite. Not a lot of people the time it was a territory
Step-by-step explanation:
Write an equation in point-slope form for the line with the given slope, passing through the given point. Slope=4/3 , (-2,11)
The point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
We have:
[tex]slope:m=\dfrac{4}{3}[/tex]
[tex]the\ point\ (-2,\ 11)\to x_1=-2,\ y_1=11[/tex]
SubstituteL
[tex]y-11=\dfrac{4}{3}(x-(-2))\\\\\boxed{y-11=\dfrac{4}{3}(x+2)}[/tex]
It takes Sam 5/8 days to drive to his aunt's house. He has now been driving for 3/8 days.
Answer:
He needs to drive for 2 more days to get to his aunt's house.
Step-by-step explanation:
Answer:
hello
Step-by-step explanation:
Can someone plz solve this for me??
Answer:
x=49
Step-by-step explanation:
First multiply 4 on both sides
(4) x/4+7=14(4)
the fours cross out leaving x by itself
x+17=14(4)
x+7=56
subtract 7 on both sides leaving:
x=49
Hi There!
Step-by-step explanation:
Solve: x/4 + 7 = 14 (x/4 = 1/4x)
Simplify: 1/4x + 7 = 14
Subtract 7 to both sides of the equation: 1/4x + 7 - 7 = 14 - 7
Simplify: 1/4x = 7
Multiply 4 to both sides of the equation: 1/4x * 4 = 7 * 4
Answer:
x = 28
Hope This helps :)
Two cars got an oil change at the same auto shop. The shop charges customers for each quart of oil plus a flat fee for labor. The oil change for one car required 5 quarts of oil and cost $25.50. The oil change for the other car required 7 quarts of oil and cost $30.00. How much is the labor fee and how much is each quart of oil?
Answer:
The labor fee is $14.25, each quart of oil costs $2.25.
Step-by-step explanation:
Let $x be thee price of each quart of oil and $y be a flat fee for labor.
1. If the oil change for one car required 5 quarts of oil, then these 5 quarts cost $5x and together with a flat fee for labor it cost $25.50. Thus,
5x+y=25.50.
2. If the oil change for another car required 7 quarts of oil, then these 7 quarts cost $7x and together with a flat fee for labor it cost $30.00. Thus,
7x+y=30.00.
3. Subtract from the second equation the first one, then
[tex]7x+y-(5x+y)=30.00-25.50,\\ \\7x+y-5x-y=4.50,\\ \\2x=4.50,\\ \\x=\$2.25.[/tex]
Substitute it into the first equation:
[tex]5\cdot 2.25+y=25.50,\\ \\y=25.50-11.25,\\ \\y=\$14.25.[/tex]
The labor fee is $14.25, each quart of oil costs $2.25.
The labor fee is $14.25 and the cost per quart of oil is $2.25.
Explanation:To find the labor fee and cost per quart of oil, we can set up a system of equations using the given information. Let x represent the cost of each quart of oil and y represent the labor fee.
We have the equations:
5x + y = 25.50
7x + y = 30.00
We can solve this system of equations using substitution or elimination. Substituting y from the first equation into the second equation, we get:
7x + (25.50 - 5x) = 30.00
2x = 4.50
x = 2.25
Substituting x back into the first equation, we get:
5(2.25) + y = 25.50
11.25 + y = 25.50
y = 14.25
Therefore, the labor fee is $14.25 and the cost per quart of oil is $2.25.
A used-droid dealership buys a droid for $2900 and then sells it for $3900. What is the percent increase?
Answer:
The percent increase is 34.48276%
Step-by-step explanation:
we are given
original price =$2900
new price =$3900
now, we can find change in price
change in price = (new price)-(original price)
change in price =3900-2900
change in price =1000
percent increase = (change in price)/(original price) *100
percent increase is
[tex]=\frac{1000}{2900}\times 100[/tex]
[tex]=34.48276[/tex]
What is the x-intercept of the graph below?
-3
-2
2
3
Answer:
-3
Step-by-step explanation:
Can someone help me please fast!!!!!!!
find value of x
pls helpp meeeeeee
[tex]3\times9^{x+1}=27^{x-1}\\\\3\times(3^2)^{x+1}=(3^3)^{x-1}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\3\times3^{2(x+1)}=3^{3(x-1)}\\\\3\times3^{2x+2}=3^{3x-3}\qquad\text{use}\ a^n\times a^m=a^{n+m}\\\\3^{1+2x+2}=3^{3x-3}\\\\3^{2x+3}=3^{3x-3}\iff2x+3=3x-3\qquad\text{subtract 3 from both sides}\\\\2x=3x-6\qquad\text{subtract 3x from both sides}\\\\-x=-6\to\boxed{x=6}[/tex]
And this one too!! Thanks in advance
Answer:
20/9 sq.feet
Step-by-step explanation:
The width is 4/3 ft because 1/3 times 4 is 4/3 and the length is 5/3 because 1/3 times 5 is 5/3.
Then to find the area you do length times width.
5/3 ×4/3= 20/9 sq. feet
I hope this helps! :)
7x(x+1.8)=0 please help !
The solutions to the equation 7x(x+1.8)=0 are x = 0 and x = -1.8.
The highest power of the polynomial function is defined as the degree.
The Fundamental Theorem of Algebra asserts that a polynomial has n roots if its degree is n.
The equation is 7x(x+1.8)=0.
To solve this equation, we can use the property that if the product of two factors is equal to zero, then at least one of the factors must be zero.
Therefore, we set each factor equal to zero and solve for x:
7x = 0
x = 0
x + 1.8 = 0
x = -1.8
So, the solutions to the equation 7x(x+1.8)=0 are x = 0 and x = -1.8.
To solve the equation 7x(x+1.8)=0, set each factor equal to zero to find the two possible solutions for x, which are 0 and -1.8.
Explanation:To solve the equation 7x(x+1.8)=0, we need to set each factor equal to zero and solve for x.
Setting 7x=0, we find x=0. Setting x+1.8=0, we subtract 1.8 from both sides to get x=-1.8. Therefore, the solutions to the equation are x=0 and x=-1.8.
SEO Keywords: quadratic equation, solve, factor, solutionsThe given equation is 7x(x+1.8)=0. This is a quadratic equation that can be easily solved by setting each factor equal to zero. Here's how you can find the value(s) of x:
Set 7x equal to zero: 7x = 0 ---> x = 0.Set (x + 1.8) equal to zero: x + 1.8 = 0 ---> x = -1.8.Therefore, the two possible values for x are 0 and -1.8.
The amount of time required to download a song from Michael's computer to his music player is the same for each song he downloads. A linear model of this situation contains the values (100, 80) and (212, 169.6), where x represents the number of songs he wants to download to his music player, and y represents the total amount of time, in minutes, it will take him to download the songs. What is the rate of change in this linear model?
A. 1.6 minutes per song
B. 0.4 of a minute per song
C. 0.8 of a minute per song
D. 112 minutes per song
Answer:
The correct answer is A. 1.6
Step-by-step explanation:
1.6x50= 80 minutes per song.
1.6x106= 169.6 minutes per song.
If you don't believe me, then grab yourself a calculator, punch the #'s (above^) in, and you'll get the answer.
Hope this helped ya out! (:
Answer:
ans is C. 0.8 of a minute per song
Step-by-step explanation:
x represents the number of songs he wants to download to his music player,
and y represents the total amount of time, in minutes, it will take him to download the songs.
(100, 80) and (212, 169.6)
subtracting: he DL 212-100=112 songs in 169.6-80=89.6 minutes
so the rate of change = 89.6/112 = 0.8 minute per song
Steve just signed a lease to rent a new apartment. His monthly rent will be $800.00, and he will have to pay a one-time nonrefundable security deposit equal to half of the monthly rent. If Steve rents the apartment for x months, which equation can be used to determine T, the total amount Steve will pay to live in the apartment?
Write the equation 2x-3y=6 in slope intercept form
The slope-intercept form:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
We have the equation in standard form.
[tex]2x-3y=6[/tex] subtract 2x from both sides
[tex]-3y=-2x+6[/tex] divide both sides by (-3)
[tex]y=\dfrac{2}{3}x-2[/tex]
Can someone help please. ITS URGENTTTT. the question is attached
Answer:
7.49
Step-by-step explanation:
1.07x7=7.49
Given x/y=10/4. If y = 18, what is the value of x?
Answer: x = 45
====================================
Work Shown
x/y = 10/4
x/18 = 10/4 ... replace y with 18
x*4 = 18*10 ... cross multiply
4x = 180
4x/4 = 180/4 ... divide both sides by 4
x = 45
Final answer:
By cross-multiplying the given proportion x/y=10/4 with y=18, we determine that the value of x is 45.
Explanation:
To find the value of x given that x/y=10/4 and y = 18, we can use the method of cross-multiplication. This method involves multiplying the numerator of one fraction by the denominator of the other fraction and setting the two products equal to each other. So, we set up the equation:
[tex]\(\frac{x}{y} = \frac{10}{4}\)[/tex]
Let's substitute y with 18:
[tex]\(\frac{x}{18} = \frac{10}{4}\)[/tex]
We then cross-multiply and solve for x:
[tex]4x = 10 \times 18[/tex]
4x = 180
[tex]x = \frac{180}{4}[/tex]
x = 45
Therefore, the value of x is 45 when y is 18.
Please help!
What is the value of x?
check the picture below.