14. Sharlene bought 4 CDs at the music store. Each cost $14.95.
She was charged 5% sales tax on her purchase. What was
the total cost of her purchase?
Answer: $62.79
Step-by-step explanation: i got it right on my test
What is 9 to the first power times (-2)3?
(A) -27
(B) 36
(C) -72
(D) 27
Answer:
-72
Step-by-step explanation:
9*(-2)³ = 9*(-8) = -72
Answer:
(C) -72
Step-by-step explanation:
[tex]9^1*(-2)^3[/tex]
Any number to the exponent of 1 is equal to themselves
[tex]= 9*(-2)^3[/tex]
Solve the exponent and multiply
[tex]= 9*(-8)\\=-72[/tex]
I hope this helps!
Juan is three times as old as Gabe and Gabe is six years older than Catherine. If the sum of their ages is 149, how old is each person? Define a variable, write an equation, solve the equation, and answer in a complete sentence. (Remember to clearly show your work on your work page.)
Answer:
Juan = 93 years.
Gabe = 31 years.
Catherine = 25 years.
Step-by-step explanation:
Let the age of Juan = J
Let the age of Gabe = G
Let the age of Catherine = C
Translating the word problem into an algebraic equation, we have;
[tex] J = 3G[/tex] ..........equation 1
[tex] G = C + 6 [/tex] ........equation 2
[tex] J + G + C = 149 [/tex] ........equation 3
We would solve the linear equations by using the substitution method;
Substituting equation 2 into equation 1;
[tex] J = 3(C + 6)[/tex]
[tex] J = 3C + 18[/tex] ........equation 4
Substituting equation 2 and equation 4 into equation 3;
[tex] (3C + 18) + (C + 6) + C = 149 [/tex]
Simplifying the equation, we have;
[tex] 5C + 24 = 149[/tex]
[tex] 5C = 149 - 24[/tex]
[tex] 5C = 125[/tex]
[tex] C = \frac {125}{5}[/tex]
C = 25 years.
To find G; from equation 2
[tex] G = C + 6[/tex]
Substituting the value of "C" into equation 2, we have;
[tex] G = 25 + 6[/tex]
G = 31 years.
To find J; from equation 1
[tex] J = 3G [/tex]
Substituting the value of "G" into equation 1, we have;
[tex] J = 3 * 31[/tex]
J = 93 years.
Therefore, Juan is 93 years old, Gabe is 31 years old and Catherine is 25 years old.
What is the interval used in the graph shown below? A. 4 B. 9 C. 10 D. 11
Answer:
C - 10
Step-by-step explanation:
I did the quiz and this is what I got, it said I was right.
Answer:
Answer:
c-10
Step-by-step explanation
the person above's right
What transformation was not done to the linear parent function, f(x) = x, to get the function g(x) = - 1/2(x+5) +7
Answer:
b; vertically compressed by a factor of 2
Step-by-step explanation:
Here, we want to select from the options, the transformation that was not done on the parent function;
a) shifted up seven units
This was done
as we can see, we have + 7 from the initial 0 point
b) vertically compressed by a factor of 2
This is wrong
What we had is 1/2 multiplied by x
If there is any compressor done, it is to a factor of 1/2 and not 2
This, is thus our answer
how many times does 10 go into 2280
Answer:
228
Step-by-step explanation:
The table shows the balance of Steven's savings account over time. Assuming there are no withdrawals, if you graph the relationship for Steven's monthly balances, which points will lie on the resulting line?
Answer:
(23, 9,200) (26, 10,400)
those are the only 2
Which pairs of triangles appear to be congruent? Check all that apply
Answer:
B, D, and F
Step-by-step explanation:
Answer:
B and E
Step-by-step explanation:
B because they are both congruent the only difference is that shape 4 is in a angle and E the only difference is that 2 is bigger but they are still congruent.
Sushil, Alex and Peter share some sweets in the ratio 1:1:4. Sushil gets 15 sweets. How many did Peter get?
Answer:
pretty sure its 60
Step-by-step explanation:
because if shushil got 15 and 15x4 is 60. then yeah
so peter got 60
Write (2x10) + (9 x 1) + (7 x 0.10 ) + (8 x 0.001) in standard form.
Answer:
hi
Step-by-step explanation:
Solving Polynomials (PLZ HELP!! BRAINLIEST IF RIGHT)
Answer:
[tex]x=\frac{2}{5}[/tex]
Step-by-step explanation:
[tex]5x^3-2x^2+5x-2=0\\x^2(5x-2)+(5x-2)=0\\(x^2+1)(5x-2)=0\\Hence,\\Either\ (x^2+1)\ should\ equal\ zero, or (5x-2)\ should\ be\ null.\\Lets\ try\ each\ on\ seperately:\\(x^2+1)=0\\x^2=-1\\x=\sqrt{-1}\\As\ \sqrt{-1}\ is\ not\ a\ real\ number,\ we\ can\ exclude\ it\ as\ a\ solution.\\Hence,\\(5x-2)=0\\5x=2\\x=\frac{2}{5} \\Thats\ your\ answer.[/tex]
Answer:
x = [tex]\frac{2}{5}[/tex] , x = ± i
Step-by-step explanation:
Given
5x³ - 2x² + 5x - 2 = 0 ( factor the first/second and third/fourth terms )
x²(5x - 2) + 1(5x - 2) = 0 ← factor out (x - 2) from each term
(5x - 2)(x² + 1) = 0
Equate each factor to zero and solve for x
5x - 2 = 0 ⇒ 5x = 2 ⇒ x = [tex]\frac{2}{5}[/tex]
x² + 1 = 0 ⇒ x² = - 1 ⇒ x = ± [tex]\sqrt{-1}[/tex] = ± i
The polynomial is of degree 3 and has 3 roots, 1 real and 2 complex, that is
x = [tex]\frac{2}{5}[/tex] ← real root
x = ± i ← complex roots
I need help again!!!!
Answer:
Step-by-step explanation:
221/17= 13 miles per hour over
30 limit + 13 over = 43mph
Answer:
43
Step-by-step explanation:
express cos6mcos2m as a sum or difference
Given :
An expression (cos 6m)(cos 2m) .
To Find :
We need to express it in terms as sum or difference.
Solution :
We know,
cos( A + B ) = cosA cos B - sin A sin B
cos( A - B ) = cosA cos B + sin A sin B
Adding both the equations we get :
2cos A cos B = cos( A + B) + cos( A - B )
or
cos A cos B = cos( A + B) + cos( A - B )/2
Putting value of A = 6m and B = 2m in above equation, we get :
(cos 6m)(cos 2m) = cos( 6m + 2m ) + cos( 6m - 2m )/2
(cos 6m)(cos 2m) = cos(8m) + cos(4m)/2
Hence, this is the required solution.
The amount of money that Kelly makes varies directly with the number of hours she works. If Kelly makes $306 when she works 18 hours, what is the constant of variation for her earnings?
A) 15
B) 17
C) 18
D) 20
(k^2-6k^4)-(3k^4+k^2+2)
Step-by-step explanation:
Vamos simplificar passo a passo.
k2-6k4-(3k4+k2+2)
Distribua o sinal negativo:
=k2-6k4+-1(3k4+k2+2)
=k2+-6k4+-1(3k4)+-1k2+(-1)(2)
=k2+-6k4+-3k4+-k2+-2
Combine os termos semelhantes:
=k2+-6k4+-3k4+-k2+-2
=(-6k4+-3k4)+(k2+-k2)+(-2)
=-9k4+-2
Responda:
=-9k4-2
Help geometry select all lines that could be the image of line m after a dilation
Answer:
The lines that could be the image of line m after a dilation are;
C. n
E. p
Step-by-step explanation:
A dilation is the operation performed on a geometric figure, that involves the uniform enlargement or uniform shrinking of the figure from a given center of dilation, such that the shape of the figure, which can be a line segment, a polygon, or a point on the coordinate plane
From the given options, the lines l and consists of rotation of the line m and are therefore not purely dilations of the line m
Dilation Is the process of increasing or decreasing a figure by a scale factor..The line n and p is the image of the line m after the dilation.
Given informationThere are total 5 lines are given in the image shown.
DilationDilation Is the process of increasing or decreasing a figure by a scale factor. When the lines are shorter or longer with the ratio of the original line then it is called the dilation of the line.
The center point of the dilation must be same for the original line and the dilated line.
For the given figure there are total 5 lines are given. Lets check all one by one,
Line l- Line is tilted and not dilated to the line m.Line n- Line n is parallel to the line m and similar to the line m.Line o- Line o is tilled with a large angle compare to the line m.Line p- Line p is shorter than the line p. The line m is decreased with some scale factor with common center point.Thus the line n and p is the image of the line m after the dilation.
Lean more about the dilation here;
https://brainly.com/question/2856466
An experiment is completed where a coin is flipped and a six-sided die (singular for dice) is rolled. The outcomes from the experiment are shown, where H represents heads and T represents tails. H1, H2, H3, H5, H6, T1, T1, T2, T3, T5. What percent of the outcomes included tails with an off number greater than 1? 1.) 16 2/3% 2.) 25% 3.) 33 1/3% 4.) 41 2/3%
Answer:
1) [tex]16\frac{2}{3}[/tex]% or 20%
Step-by-step explanation:
Given that:
An experiment which is carried out by flipping a coin and rolling six sided die.
The outcomes can be:
{H1, H2, H3, H5, H6, T1, T1, T2, T3, T5}
As per question statement:
Number of outcomes having tails and an odd number greater than one is 2 (i.e. T3 and T5)
Total number of outcomes here is 10.
Therefore, to find the percentage, we use the following formula:
[tex]\dfrac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\times 100[/tex]
[tex]\Rightarrow \dfrac{2}{10}\times 100 = 20\%[/tex]
As per question statement, the answer is 20%.
If we consider all the outcomes, i.e.
{H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6}
Total number of outcomes = 12
The percentage will come out be :
[tex]\Rightarrow \dfrac{2}{12}\times 100 = 16\frac{2}{3}\%[/tex]
The lowest temperature ever recorded in the U.S. was - 79.8 degrees Fahrenheit in Prospect Creek, Alaska. Which of the following best explains what temperature means.
A. It means the temperature was 79.8 Fahrenheit more than one.
B. It means the temperature was 79.8 Fahrenheit more than zero.
C. It means the temperature was 79.8 Fahrenheit less than one.
D. I means the temperature was 79.8 Fahrenheit less than zero.
Answer:
D
Step-by-step explanation:
Negative numbers are less than zero.
3. What is the slope of the line represented by the equation
(-14y) - 7x?
a. -2
b. -1/2
Z
c.
d. 1/2
Answer:
Slope = -1/2
Step-by-step explanation:
Use y = mx + b to find the slope (m) Write the expression as an equation (-14y)-7x=0. Rewrite in slope-intercept form by removing the parentheses, adding 7x to both sides, dividing each term by -14, then writing in y = mx + b form, which is m=-1/2x. Remove the variable, it becomes your answer of -1/2.
Robin and Shaon obtained 5/6 and 4/5 of the total marks respectively in the annual examination.
Robin obtained 30 marks more than Shaon.
What is the total marks? And what marks did
everyone obtain?
Answer:
sjsnana.amamakajsakqqmk
Find the slope
please help
Answer:
5/2
Step-by-step explanation:
Rising, there are 5 squares. Running, there are 2 squares. The line is rising left to right, so the slope is positive.
Diego cut 7 smaller boards of equal length from a board that is 9 and one-third feet long. How long is each of the 7 smaller boards?
Answer:
1 1/3 feet long
Step-by-step explanation:
Answer:
Each of the seven smaller boards will be 1.3 feet long
Step-by-step explanation:
We must divide 9 1/3 by 7
9 1/3 / 7 = 1.333286
We now have to round to the nearest tenth which would give us:
1.3
So our final answer would be 1.3
Ava says that 100
12 is equivalent to 2 (52 – 6). Is this true or false?
O True
False
Answer:
False
Step-by-step explanation:
Assuming that the first equation is 10x - 12, you need to solve both equations in order to see if the equations are equivalent from each other.
[tex]10x-12[/tex]
[tex]10x-12=2(5x-6)[/tex]
[tex]=2(5x-6)[/tex]
Then...
[tex]2\times(52-6)[/tex]
Use Order of Operations...
[tex]52-6=46[/tex]
[tex]2\times46=92[/tex]
[tex]2(5x-6)<96[/tex]
Therefore "false" or the second option is your answer.
Hope this helps.
PLEASE PLEASE PLEASE HELP!!
Answer:
I'm just doing this to get points
can someone help me (3.7x10-8)(2.9x10⁶
Write the unit rate for each * You score 84 points in 6 games.
Step-by-step explanation:
84/6= 84÷6/6÷6
14/1= 14 points
anyone who knows please help!!!!
i tried to solve this on my own but it's not happening rip
Answer:
13.5
Step-by-step explanation:
the answer is 13.5, because you do the proportionate equations of 6/4 = x/9, and then you cross multiply to get 4x=54, and then you isolate x, so the answer is 13.5
Please help me! thank you!
Answer:
4
Step-by-step explanation:
Function 1 is moving at a constant rate meaning it has the rate of change of 0/1 or 0.
Function 2 says y is 4x meaning that the rate of change is 4/1 or 4.
0 - 4= I-4I or 4
What is the solution to this inequality
X-6 <-4
O A. x>-10
O B. X> 2
O c. x< -10
O D. x<2
Answer:
Answer is D
Step-by-step explanation:
Answer:x<2
Step-by-step explanation:
√ 25 –2√3 + √27 +2√ 9 Express in simplified radical
Answer:
The expression in simplified radical form is:
[tex]\sqrt{25}-2\sqrt{3}+\sqrt{27}+2\sqrt{9}=11+\sqrt{3}[/tex]
Step-by-step explanation:
Given the expression
[tex]\sqrt{25\:}\:-2\sqrt{3}\:+\:\sqrt{27}\:+2\sqrt{9\:}\:[/tex]
as
[tex]\sqrt{25}=5[/tex][tex]\sqrt{27}=3\sqrt{3}[/tex][tex]2\sqrt{9}=6[/tex]so the expression becomes
[tex]=5-2\sqrt{3}+3\sqrt{3}+6[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:-2\sqrt{3}+3\sqrt{3}=\sqrt{3}[/tex]
[tex]=5+\sqrt{3}+6[/tex]
[tex]=11+\sqrt{3}[/tex]
Thus, the expression in simplified radical form is:
[tex]\sqrt{25}-2\sqrt{3}+\sqrt{27}+2\sqrt{9}=11+\sqrt{3}[/tex]