Answer:
No solution
Step-by-step explanation:
x + 2/3 = 2/3 + x - 1/4
x = x - 1/4
0 ≠ -1/4
Which expression is equivalent to ?
x5
algebra II engenuity
Answer:
Last Option
Step-by-step explanation:
Given expression is:
[tex]\sqrt[4]{\frac{24x^6y}{128x^4y^5}}[/tex]
Simplifying the radicand
[tex]=\sqrt[4]{\frac{8*3*x^6*y}{8*16*x^4*y^5}}\\=\sqrt[4]{\frac{3*x^6*y}{16*x^4*y^5}}\\=\sqrt[4]{\frac{3*x^6*y}{2^4*x^4*y^5}}\\=\sqrt[4]{\frac{3*x^{(6-4)}}{2^4*y^{(5-1)}}}\\=\sqrt[4]{\frac{3*x^{2}}{2^4*y^{4}}}\\Applying\ Radical\\= \frac{\sqrt[4]{3x^2}}{2y}[/tex]
Hence,
Last option is correct ..
If n ||m, find the value of x and the value of y.
A. y = 3.75, x = 11.25
B. y=4.x = 11
C. y = 5, x = 10
D. not enough information to determine
Answer: Option C
[tex]y=5[/tex], [tex]x=10[/tex]
Step-by-step explanation:
If the lines m and n are parallel then the large triangle and the small triangle are similar triangles, because they have equal angles.
By definition for similar triangles it is satisfied that if they have sides of length a, b, c and a ', b' and c 'then:
[tex]\frac{a}{a'}=\frac{b}{b'} =\frac{c}{c'}[/tex]
In this case
[tex]a = 12\\a' = 4\\c = 15\\c' = y[/tex]
So:
[tex]\frac{12}{4}=\frac{15}{y}[/tex]
[tex]3=\frac{15}{y}[/tex]
[tex]y=\frac{15}{3}[/tex]
[tex]y=5[/tex]
Therefore
if [tex]x+y=15[/tex] and [tex]y=5[/tex] then [tex]x =10[/tex]
Finally
[tex]y=5[/tex], [tex]x=10[/tex]
Cindy sold her camera for $300, thus making a profit
of $60. What was her percent of profit?
A) 10%
B) 15%
C) 20%
D) 25%
Answer:
c. 20%
Step-by-step explanation:
60 is 20% of 300
The answer to the question is 25%
The percent of profit can be calculated by using the formula:
Profit Percentage = (Profit / Cost Price) x 100%
Given that Cindy made a profit of $60 by selling her camera for $300, her profit percentage would be:
Profit Percentage = (60 / 240) x 100% = 25%
What is the solution to the equation
Answer:
The solution is:
[tex]x=-8[/tex]Step-by-step explanation:
We have the following equation
[tex]-4(2x+3)=2x+6-(8x+2)[/tex]
To solve the equation apply the distributive property
[tex]-4(2x+3)=2x+6-(8x+2)[/tex]
[tex]-4*2x+3(-4)=2x+6-(1)*8x+2*(-1)[/tex]
Now simplify the expression
[tex]-8x-12=2x+6-8x-2[/tex]
[tex]-8x-12=-6x+4[/tex]
Add 6x +12 on both sides of the equation
[tex]-8x-12+6x+12=-6x+4+6x+12[/tex]
[tex]-2x=4+12[/tex]
[tex]-2x=16[/tex]
Divide both sides of the equality between -2
[tex]\frac{-2}{2}x=\frac{16}{-2}[/tex]
[tex]x=-8[/tex]Solve x2 + 6x = 7 by completing the square. Which is the solution set of the equation? {–7, 1} {1, 7}
Answer:
[tex]\large\boxed{\{-7,\ 1\}}[/tex]
Step-by-step explanation:
[tex]x^2+6x=7\\\\x^2+2(x)(3)=7\qquad\text{add}\ 3^2=9\ \text{to both sides}\\\\x^2+2(x)(3)+3^2=7+9\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\(x+3)^2=16\Rightarrow x+3=\pm\sqrt{16}\\\\x+3=-4\ \vee\ x+3=4\qquad\text{subtract 3 from both sides}\\\\x=-7\ \vee\ x=1[/tex]
what transformation were applied to ABC to obtain A’B’C?
a-rotate 90degrees counterclockwise,then shift 2 units up
b- rótate 90 degrees counterclockwise then shift 2 units down
c- rótate 180 degrees counterclockwise, then shift 2 units up
d- rótate 180 degrees counterclockwise then shift 2 units down
Answer:
A = (3,-2)
reflect along the y -axis ; set x=-x
(-3,-2)
reflect along the x-axis ; set y=-y
A' = (-3,2)
Same for B,C and D
ABCD is reflected across the y-axis and then the x-axis.
Step-by-step explanation:
Answer:
A )rotate 90 degrees counterclockwise,then shift 2 units up.
Step-by-step explanation:
Given : graph .
To find : what transformation were applied to ABC to obtain A’B’C.
Solution : We have given graph
Parent ABC triangle with coordinates A(2 ,2) ; B (5 ,6) ; C ( 8 , 2).
Transformed triangle with coordinates A' (-2 ,4) ; B' (-6 ,7) ; C' ( -2 ,15).
By the rotational of 90° counter clockwise : (x ,y) →→ ( -y , x ).
And it is shifted by 2 unit up
(x ,y) →→ ( -y , x + 2 ).
A(2 ,2) →→ A' (-2 ,4)
B (5 ,6) →→ B' (-6 ,7)
C ( 8 , 2) →→ C' ( -2 ,15).
Therefore, A )rotate 90 degrees counterclockwise,then shift 2 units up.
What is the simplest form of this expression 2a(-a^3-1)+8a^4
Answer:
6a^4-2a
Step-by-step explanation:
First step: Distributive Property -2a^4-2a+8a^4
Second step: Combine like terms 6a^4-2a
Evaluate: log1255
a.1/3
b.1/2
c. 2/3
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]
let [tex]log_{125}[/tex] 5 = n, then
5 = [tex]125^{n}[/tex]
note that 125 = 5³ ⇒ [tex](5^3) ^{n}[/tex] = [tex]5^{3n}[/tex]
Since bases are equal ( both 5) equate the exponents
3n = 1 ( divide both sides by 3 )
n = [tex]\frac{1}{3}[/tex]
The value of the expression log₁₂₅5 is 1/3.
The correct option is A.
What is Logarithmic?The inverse of exponentiation is the logarithm. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b.
Given:
A logarithmic expression,
let log₁₂₅5 = x
Then simplifying,
5 = (125)ˣ
That means,
x = 1/3
Therefore, x = 1/3.
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If 8=x+y and y>0, then x is
Answer:
x<8
Step-by-step explanation:
We have one equation and one inequation:
8=x+y [1]
y>0 [2]
Solving [1] for 'y' we have:
8=x+y → y = 8-x
If y>0, then 'x' must be less than 0. Given that if 'x' is equal or greater than 8, 'y' will take negative values.
Then: x<8
Graph y ≥ (x - 4)^2. Click on the graph until the correct one appears.
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]y\geq (x-4)^{2}[/tex]
The solution is the shaded area above the vertical parabola
using a graphing tool
see the attached figure
Solve y = x^2 - 18 for x.
O A. x= ty - 18
O B. x= y +18
O c. x= y - 18
O D. x= + y + 18
Answer:
x = √y+18
Step-by-step explanation:
Given
[tex]y = x^2-18[/tex]
In order to solve the equation for x, we have to isolate x on one side of the equation
So,
[tex]y+18 = x^2 -18 + 18\\y + 18 = x^2[/tex]
We have to find the value for x, so taking square root on both sides
[tex]\sqrt{x^2} = \sqrt{y+18}[/tex]
Solving the squre root
x = [tex]x = \sqrt{y + 18}[/tex]
Hence,
x = √y+18 is the correct answer ..
Use the compound interest formula A = P(1 + r) and the given information to solve for r.
A = $3,000,000, P = $20,000, t = 40
Step-by-step explanation:
A=P(1+R)
A/P=1+R
(A/P)-1=r
(3000000/20000)-1=r
149=r
[tex]\textbf{Answer:}[/tex]
[tex]r\approx 0.13345[/tex]
[tex]\textbf{Step-by-step explanation:}[/tex]
[tex]\text{Your formula is missing something: t}[/tex]
[tex]\text{It should read }A=P(1+r)^t[/tex] [tex]\text{Where A is the final amount, P is the principal, r is rate in decimal, and t is time in years}[/tex]
[tex]\text{Given that A=3000000, P=20000, and t=40, we can subsitute and solve}[/tex]
[tex]A=P(1+r)^t[/tex]
[tex]\text{subsitute}[/tex]
[tex]3000000=20000(1+r)^{40}[/tex][tex]\text{ now solve for r}[/tex]
[tex]\text{Divide both sides by 20000}[/tex]
[tex]150=(1+r)^{40}[/tex]
[tex]\text{Take the 40th root of both sides }(\sqrt[40]{})[/tex]
[tex]\sqrt[40]{150}=1+r[/tex]
[tex]\text{subtract 1 from both sides}[/tex]
[tex]\sqrt[40]{150}-1=r[/tex] [tex]\text{ or in approximate form, }[/tex][/tex]r\approx 0.13345[/tex]
hugh bought some magazines that cost $3.95 each and some books that cost $8.95 each
3.95(3) + 8.95b = 47.65
11.85 + 8.95b = 47.65
Subtract 11.85 from both sides.
8.95b = 35.8
Divide 8.95 from both sides.
b = 4
Hugh bough 4 books.
ASAP On the coordinate plane below, quadrilaterals TRAP and HELP are similar to each other.
Determine the ratio of the perimeter of HELP to TRAP.
2:1
3:2
1:2
2:5
Answer:
1 : 2
Step-by-step explanation:
Since the quadrilaterals are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{HP}{TP}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]
Thus the ratio of perimeters is also 1 : 2
Answer:
1:2.
Step-by-step explanation:
HP and TP are corresponding sides and their lengths are 2 and 4.
Thats a ratio of 1 :2.
The perimeter is also one dimensional so the ratio of the perimeters is also 1:2.
How many distinct factors does 75 have?
Answer:
The distinct factors of 75 are 1, 3, 5, 15, 25, 75.
Step-by-step explanation:
Please mark brainliest and have a great day!
Answer:
6
Step-by-step explanation:
1,3,5,15,25,75
solve 7x-9=28+4(x-1)
Answer:
I know this is way late but its(11)
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
3. Kim ran 3 one-mile races, 6 two-mile races, 4 five-mile races, and 1 ten-mile race. What is the mean number of miles Kim ran in the races? Show your work.
Answer:
3.2 miles
Step-by-step explanation:
The "mean" of a set of numbers is the average. To get this, you add up all of the numbers and then divide by however many there are. So, let's lay out the races that Kim ran.
1, 1, 1, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 10
These numbers add up to 45 total miles ran. You can add them up individually or make an equation.
x = (3 × 1) + (6 × 2) + (4 × 5) + (1 × 10)
x = 3 + 12 + 20 + 10
x = 15 + 30
x = 45
Now, divide by the total number of races, 3 + 6 + 4 + 1 = 14
So, the mean will be
45 ÷ 14 = 3.21 or about 3.2
Answer:
Straight to the point : 3.2
Explanation is above me my friends.
Expand and Simplify
(2x + 1)(x - 2)(x + 3)
Answer:
Answer is =2x^3+3x^2-11x-6
Step-by-step explanation:
First of all multiply first and second bracket.
=x(2x+1) -2(2x+1)
=2x^2+x-4x-2
=2x^2-3x-2
Now multiply 2x^2-3x-2 with (x+3)
=x(2x^2-3x-2) +3(2x^2-3x-2)
=2x^3-3x^2-2x+6x^2-9x-6
=2x^3+3x^2-11x-6
The expansion and simplification of the expression (2x + 1)(x - 2)(x + 3) is 2x^3 + 3x^2 - 11x - 6.
Explanation:To expand and simplify the expression (2x + 1)(x - 2)(x + 3), we use the distributive property (a(b + c) = ab + ac) to distribute each term of one binomial with each term of the others.
We start by expanding the first two brackets : (2x + 1)(x - 2). This gives 2x^2 - 4x + x - 2 or, 2x^2 - 3x - 2.
Now, we expand the above result with (x + 3): (2x^2 - 3x - 2)(x + 3) yielding 2x^3 - 3x^2 - 2x + 6x^2 - 9x - 6.
When we simplify that, we get : 2x^3 + 3x^2 - 11x - 6. So, the expansion and simplification is : (2x + 1)(x - 2)(x + 3) = 2x^3 + 3x^2 - 11x - 6.
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A teacher reviews 4-1/2 papers per hour, how many papers will that teacher review in 6-1/3 hours
Answer:
[tex]28\frac{1}{2}\ papers[/tex]
Step-by-step explanation:
step 1
Convert mixed numbers to an improper fractions
[tex]4\frac{1}{2}=\frac{4*2+1}{2}=\frac{9}{2}[/tex]
[tex]6\frac{1}{3}=\frac{6*3+1}{3}=\frac{19}{3}[/tex]
step 2
we know that
A teacher reviews 9/2 papers per hour
using proportion
Find how many papers will the teacher review in 19/3 hours
Let
x-----> the number of papers
[tex](9/2)/1=x/(19/3)[/tex]
[tex]x=(19/3)(9/2)[/tex]
[tex]x=28.5\ papers[/tex]
Convert to mixed numbers
[tex]28.5=28\frac{1}{2}\ papers[/tex]
A teacher that reviews 4.5 papers an hour would be able to review approximately 28 papers in 6-1/3 hours, rounding down to the nearest whole paper.
Explanation:To solve this math problem, you'll need to multiply the amount of papers that the teacher can review in one hour by the total amount of hours they worked. The teacher reviews 4.5 papers per hour, and they will be working for 6.33 hours (which is the decimal equivalent of 6-1/3 hours). Let's do the math:
4.5 papers/hour * 6.33 hours = 28.485 papers
Therefore, the teacher would be able to review approximately 28 papers in 6-1/3 hours. Please note that the number of papers reviewed has been rounded down in this scenario to remain realistic - a paper can either be reviewed or not reviewed and we cannot count half-reviewed papers.
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Inez has a phone card. The graph shows the number of minutes that remain on her phone card after a certain number of days.
The slope of the line that represents the data is –50, and the y-intercept is 850. What do the slope and y-intercept represent in Inez’s situation?
The y-intercept indicates that the phone card started with 850 minutes. The slope indicates that 50 minutes were used per day.
The y-intercept indicates that the phone card started with 50 minutes. The slope indicates that 850 minutes were used per day.
The slope indicates that the phone card started with 850 minutes. The y-intercept indicates that 50 minutes were added per day.
The slope indicates that the phone card started with 50 minutes. The y-intercept indicates that 850 minutes were added per day.
Answer:
The y-intercept indicates that the phone card started with 850 minutes. The slope indicates that 50 minutes were used per day.
Step-by-step explanation:
The graph cuts the y-axis at 850.This indicates that the phone card started with 850 minutes before it was used.
The slope of the graph is -50.This means that in every increase of one in the input variable (number of days), you get a decrease of 50 in the output variable (number of minutes remaining). This indicates every day, 50 minutes were used, hence 50 minutes reduced from the card per day.
The answer is A. The y-intercept indicates that the phone card started with 850 minutes. The slope indicates that 50 minutes were used per day.
This is because she started with 850 and the graph shows a decrease, so this means that she loses 50 per day or that she uses 50 per day.
What is the value of y?
Answer:
A. 44°
Step-by-step explanation:
180° (straight line) - 88°
= 92
180° - 92°
= 88°
2y = 88°
y = 44°
Answer:
A 44
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
88 = y+y
88 =2y
Divide by 2
88/2 = 2y/2
44 = y
evaluate the expression xy for x = 6 and y=3
Substitute the numbers for xy
(6)(3)
= 18
Answer is 18
The expression xy for x = 6 and y = 3 is 18.
We have to evaluate, the expression xy for x = 6 and y = 3.
According to the question,
To find the expression xy calculation must be done in a single unit following all the steps given below.
The value of x = 6 and y = 3,
Then,
The multiplication of xy is,
[tex]= x\times y \\\\= 6 \times 3\\\\= 18[/tex]
Hence, The expression xy for x = 6 and y = 3 is 18.
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How will you write 5 x 5 x 5 x 5 x 5 as an exponential expression?
OA. 5x5
OB. 55
Oc. 545
OD. 5
Reset
Next
Answer:
Step-by-step explanation:
5 * 5 * 5 * 5 * 5 = 5^5
Written in Latex, which is the best way to show this, the answer is
[tex]5^{5}[/tex]
I think you might mean B. If you do then it is correct, but it must be shown as 5^5
Three points are collinear
-always
-sometimes
-never
Answer:
Sometimes
Step-by-step explanation:
Note that the word "collinear" means lying on the same line.
The three points can be on the same line, but not always. For example, the three points can form a triangle, a square-u, etc.
~
Answer:
sometimes
Step-by-step explanation:
Three points are sometimes collinear
There are infinite points on a line, so they can be collinear.
But 3 points make a triangle, so they are not on a line, so they are not collinear.
There are 5 stacks of huge waffles that each weigh 45 pounds, and a group of people want to eat all of the stacks of waffles. If a person can eat 2 pounds, how many people are necessary to eat all of the waffles?+
Answer:
113
Step-by-step explanation:
Total mass of waffles = 45 x 5 = 225 pounds
No. of people needed = 225 / 2 + 1 = 112 + 1 = 113
You need to add 1 because 112 people can only eat 224 pounds, so the last person eats only 1 pound
Answer:
113 people are necessary to eat all of the waffles.
Step-by-step explanation:
There are 5 stacks of huge waffles that each weigh 45 pounds.
Hence, Total amount of waffles=5×45 pounds
=225 pounds
A person can eat 2 pounds.
and 225/2=112.5
112 people can only eat 224 pounds, so the last person eats only 1 pound.
⇒ 113 people are necessary to eat all of the waffles.
Factor completely, then place the factors in the proper location on the grid. 3y4 - 2y2 - 5
Answer:
[tex] (3y^2-5)(y^2+1) [/tex]
Step-by-step explanation:
Let's see if we can think of two numbers that multiply to be 3(-5)=-15
andd add up to be -2
How about -5 and 3? That work's! :)
[tex]3y^4-5y^2+3y^2-5[/tex]
Factor by grouping!
[tex]y^2(3y^2-5)+1(3y^2-5)\\(3y^2-5)(y^2+1)[/tex]
The polynomial 3y^4 - 2y^2 - 5 does not appear to be factorable with integer values. The reference to placing the factors in a particular location on a grid would likely relate to a tool or diagram provided by your instructional material.
Explanation:To factor the cubic polynomial 3y4 - 2y2 - 5, we first find the common factor which in this case is none. The next step is to try grouping, and if that's not possible, we can solve the polynomial using the quadratic formula or synthetic division. However, this polynomial does not seem to be factorable with integer values.
Unfortunately, without additional context, it's not clear what grid the problem refers to, or where the location you're supposed to place the factors is. It's likely this refers to some sort of tool or diagram provided by your teacher or textbook. In general, you would write down the factors in their proper locations in that tool or diagram, according to the rules or guidelines you were given.
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Danny is older than Felicia. The difference between their ages is 21. The sum of their ages is 35. How old is Felicia?
Answer:
Felicia is 7 years old
Explanation:
The variable, d, can represent Danny's age.
The variable, f, can represent Felicia's age.
Basically, using the information provided, you can make two equations.
1.) d - f = 21
2.) d + f = 35
This is a system of equations. To solve for this, I'm going to subtract the 2 equations:
d - f = 21
- d + f = 35
-------------------------
-2f = -14
f = 7
If Felicia is 7, and they're total ages added is 35, subtract 7 form 35
35 - 7 = 28
So, Danny would be 28.
To double check your answers;
28 + 7 = 35
28 - 7 = 21
So Felicia is 7 years old. I hope this helps! :)
Solve the given system of equations. 2y= -x+9 , 3x-6= -15
Answer:
x = -3, y = 6 → (-3, 6)Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}2y=-x+9\\3x-6=-15&\text{add 6 to both sides}\end{array}\right\\\left\{\begin{array}{ccc}2y=-x+9\\3x=-9&\text{divide both sides by 3}\end{array}\right\\\left\{\begin{array}{ccc}2y=-x+9\\x=-3\end{array}\right\qquad\text{put the value of x to the first equation}\\\left\{\begin{array}{ccc}2y=-(-3)+9\\x=-3\end{array}\right\\\left\{\begin{array}{ccc}2y=3+9\\x=-3\end{array}\right\\\left\{\begin{array}{ccc}2y=12&\text{divide both sides by 2}\\x=-3\end{array}\right\\\left\{\begin{array}{ccc}y=6\\x=-3\end{array}\right[/tex]
Help please!
Find x
x=
7
7/2
/(14)
Answer:
x = 7
Step-by-step explanation:
recognize that this is a right triangle with one of the internal angles = 45°. This means that the other angle not shown is 180 - 90 - 45 = 45°
This makes the triangle an isosceles triangle.
If so, x must be the same length as the other side adjacent to 90°
i.e x = 7
Simplify (x^4-9x+5x^7)+(5x-10+3x^4-2x^2)
Answer:
5x^7 + 4x^4 - 2x^2 - 4x - 10
Step-by-step explanation:
(x^4-9x+5x^7)+(5x-10+3x^4-2x^2) = 4x^4 - 9x + 5x^7 + 5x - 10 - 2x^2
= 4x^4 - 9x + 5x^7 + 5x - 10 - 2x^2
= 4x^4 - 4x + 5x^7 - 10 - 2x^2
= 5x^7 + 4x^4 - 2x^2 - 4x - 10