Answer:
About 4.44
Step-by-step explanation:
Let x represent the unknown amount of CD's sold each day. Thus, the linear equation is formed:
40-x = 2x + 3 (2x) Next collect like terms by adding x to both sides.
40-x+x= x + 2x + 3 (2x)
40 = 3x + 3 (2x)
40 = 3x + 6x
40= 9x
40/9 = 9x/9
x= 4.44
Note: 2x represents doubling up the sales amount, which was left.
3x represents tripling the sales amount left.
asap help !!
How much additional interest is earned if $8000 is invested for 7 years at 6.5% when
interest is compounded annually, as compared with simple interest paid at the same
rate?
Answer:
put it in a calculator, 8,000 times whatever number u need
When solving the equation, we get a different number on each side of the equal sign. So, no value of x makes the equation true. That means the equation has no solution. 0 = 7 When solving the equation, we get the same number on each side of the equal sign. So, any value of x makes the equation true. That means the equation has infinitely many solutions. 0=0, 5=5 When solving the equation, we get a variable equal to a number. So, that value of x makes the equation true. That means the equation has one solution. N=4
I'm assuming you are asking if the above statements are true or false
Answer:
All true
Step-by-step explanation:
In the first statement, an equation may have different numbers on both sides of the equation after solving the equation such that we have 0=5 for instance given 1x=1x+5. This means that we cannot solve this equation and it cannot be true
In the second statement, an equation may be infinite meaning that is true for all values for the variables such that we have equal numbers on both sides of the equation 1=1, 4=4,0=0 for instance given equations like x−10+x=8+2x−18
In last statement, an equation is true if the variable equals a number meaning that the equation has one solution such as x=2 given an equation like 2x+4=8
please help with this question, I am quite confused
Answer:
Step-by-step explanation:
A-domain (-∞,∞)
B- Range(0,∞) the range is the set of values tat correspond with the domain
C- the y intercept (0,1) , y intercept is when x =0 (2/3)^0=1
D-the horizontal asymptote is x-axis y=0
E- the graph is always decreasing
F-it depend on the base
Solve the following question
The difference of two numbers is 12 and their sum is 20 find the numbers
Answer:
16 and 4
Step-by-step explanation:
Let (x+y) =20 and (x-y)=12 then:
Isolate for x in each equation
x=20-y and x=12+y
Set the equations to equal each other since the value of x should be the same for both
20-y = 12+y
Rearrange so that y is on one side and the numbers are on the other
8 = 2y
y= 8/2
y= 4
Now substitute the y- value back into either of the original equations
x+y= 20
x+4 = 20
Rearrange and isolate x
x = 20-4
x = 16
So the two values are 16 and 4
The value of a plot of land is S18 000.00.
Land tax is charged at the rate of S0.70 per
$100.00 value. What is the TOTAL amount
of tax paid for the land?
Answer:
$126
Step-by-step explanation:
The plot of land is worth $18,000 and the tax on the land is $0.70 per $100. You would divide 18000 by 100 which is 180. Then you would multiply 180*0.70 which is $126.
Step-by-step explanation:
Here, given that;
The total value of land us $18000.00
tax per $100.00 is $0.70
now,
$100.00 taxes $0.70
$18000.00 taxes ($18000.00÷100)/$0.70 (as in question given that the tax is charged in each $100)
= $126.
is the required tax amount.
Hope it helps..
What is the shape name
please do fast.
Answer:
[tex]\boxed{\sf Parallelogram}[/tex]
Step-by-step explanation:
A parallelogram has opposite parallel sides and it is a quadrilateral.
Answer:
This is a parallelogram
Step-by-step explanation:
This is also a quadrilateral.
Hope this helps.
what is the slope of the line shown below (2 2) (4 8) a. 3 b. 1/3 c. -1/3 d. -3
Answer:
Option A.3
Step-by-step explanation:
If its rise over run the fraction should be right 2 up 6 makeing a fraction of
6/2 which equals 3
The line has a slope of 3
Which set of ratios could be used to determine if one triangle is a dilation of the other? A triangle has side lengths of 4, 6, 8.5. A second triangle has side lengths of 6, 9, 12.5. StartFraction 4 Over 6 EndFraction = StartFraction 6 Over 9 EndFraction = StartFraction 8.5 Over 12.5 EndFraction StartFraction 6 Over 4 EndFraction = StartFraction 6 Over 9 EndFraction = StartFraction 8.5 Over 12.5 EndFraction StartFraction 4 Over 6 EndFraction = StartFraction 9 Over 6 EndFraction = StartFraction 8.5 Over 12.5 EndFraction StartFraction 4 Over 6 EndFraction = StartFraction 8.5 Over 9 EndFraction = StartFraction 6 Over 12.5 EndFraction
Answer:
[tex]A.\ \frac{4}{6} = \frac{6}{9} = \frac{8.5}{12.5}[/tex]
Step-by-step explanation:
Given
Let the two triangles be A and B
Sides of A: 4, 6 and 8.5
Sides of B: 6, 9 and 12.5
Required
Which set of ratio determines the dilation
To determine the dilation of a triangle over another;
We simply divide the side of a triangle by a similar side on the other triangle;
From the given parameters,
A ------------------B
4 is similar to 6
6 is similar to 9
8.5 is similar to 12.5
Ratio of dilation is as follows;
[tex]Dilation = \frac{4}{6}[/tex]
[tex]Dilation = \frac{6}{9}[/tex]
[tex]Dilation = \frac{8.5}{12.5}[/tex]
Combining the above ratios;
[tex]Dilation = \frac{4}{6} = \frac{6}{9} = \frac{8.5}{12.5}[/tex]
From the list of given options, the correct option is A,
Answer:
a
Step-by-step explanation:
circle the equations that represent quadratic functions a. y=3x+1 b. y=x^2+3 c. y=x^3-3 d. x^2+3y=8
Answer:
[tex]B. y=x^2+3 \\\\D.$ $x^2+3y=8[/tex]
Step-by-step explanation:
A quadratic function is a function in which the highest power of the unknown variable is 2.
Formally, a quadratic function is defined as a function of the form:
[tex]f(x)=ax^2+bx+c, a\neq 0[/tex]
From the given options, only B and D has the highest power as 2. Therefore, the equations that represent quadratic functions are:
[tex]B. y=x^2+3 \\\\D.$ $x^2+3y=8[/tex]
Marked price of a pen is Rs 20. It is sold at a discount of 15%. Find the selling price?
Answer:
Rs 17Step-by-step explanation:
Solution,
Marked price ( MP ) = Rs 20
Discount % = 15%
Selling price ( SP ) = ?
let's find the discount amount:
Discount amount = Discount % of MP
plug the values
= 15% of 20
Calculate
= Rs 3
Discount amount = Rs 3
Now, let's find the SP
Selling price ( SP ) = MP - discount amount
plug the values
= Rs 20 - Rs 3
Calculate the difference
= Rs 17
Hope this helps..
Best regards!!
Anyone knows this ans? I will mark them BRAINLIEST... The one who ans first and gives complete ans...thanks for helping!
Answer: a.5r-7=2r+8
We move all terms to the left:
5r-7-(2r+8)=0
We get rid of parentheses
5r-2r-8-7=0
We add all the numbers together, and all the variables
3r-15=0
We move all terms containing r to the left, all other terms to the right
3r=15
r=15/3
r=5
a) r = 5
b) t = 5/3
c) a = 1
d) x = 0
How to solve an eqution:
Equation solving is So easy you just need to follow the instructions.
i) First arrange the no. in one side and variable in one side.
ii) The sign will change if we change the no. or variable between equal =. Like + change into - and × change into ÷ .
iii) Use the BODMAS and just go ahead.
Solution:
Just Click on _______
Solve x4 – 17x2 + 16 = 0. Let u = .
To solve the equation, we need to let u = x²
What is a quadratic equation?A quadratic equation is an algebraic expression that takes the power of the second degree.
From the given parameter:
x⁴ - 17x² + 16 = 0For us to be able to solve the given equation, we need to reduce the equation to a quadratic form.
This can be achieved by making an assumption that:
u = x²So, we will replace x² with u in the given equation.
By doing so, we have:
u² - 17u + 16 = 0Learn more about quadratic equations here:
https://brainly.com/question/1214333
Answer: Solve x4 – 17x2 + 16 = 0.Let u = xX 17x²✔ x²X -17x².
let u = x^2
Step-by-step explanation: just did it
Please Help!!!
Gina wants to take dance classes. She compares two dance studios to determine which has the best deal for her. Dance World charges a rate for each class. Toe Tappers charges a rate for each class plus a one-time registration fee. The system of equations shown models the total costs for taking x classes at each.
Dance World: y = 15x
Toe Tappers: y = 25 + 12.5x
How many classes would Gina need to take for the total cost to be the same at both dance studios?
A: 10
B: 15
C: 100
D: 150
Answer:
The correct answer is A: 10
Step-by-step explanation:
We know that for Dance World the equation is y=15x and for Toe Tapper it is y=25+12.5x
Make a chart with both dance companies and compare the solutions to each equation. Like the one below.
Dance World / Toe Tappers
A:10 $150 / $150
B:15 $225 / $212.5
C:100 $1500 / $1275
D:150 $2250 / $1900
In conclusion, A:10 is the correct answer as both dance companies cost the same for 10 classes.
Sorry if this is really late, this is for the people who have the same question and need an answer too.
Answer:
A 10
Step-by-step explanation:
Set the equations equal to each other:15x = 25 + 12.5x
Solve for x2.5x = 25
x= 10
Pleaseeeeeee HELP❤️❤️❤️
Answer:
1) [tex]\boxed{Option \ 3}[/tex]
2) [tex]\boxed{Option \ 2}[/tex]
Step-by-step explanation:
A) [tex]x^2-5x+6[/tex]
Using mid term break formula
[tex]x^2-6x+x-6\\x(x-6)+1(x-6)\\Taking \ (x+6) \ as \ common\\(x-6)(x+1)[/tex]
B) [tex]\frac{-20p^{-5}qr^6}{16p^{-2}q^{-3}r^4}[/tex]
Solving it using the two rules: => [tex]\frac{a^m}{a^n} = a^{m-n} \ and \ a^m * a^n = a^{m+n}[/tex]
=> [tex]\frac{-5p^{-3}q^4r^2}{4}[/tex]
We need to put p in the denominator to cancel its negative sign
=> [tex]\frac{-5q^4r^2}{4p^3}[/tex]
Answer:
C and b
Step-by-step explanation:
First question:
The polynomial expression we want to factor is x^2-5x-6
Let's calculate the discriminant to find the roots. The discrminant is b^2-4ac
● b= -5
● a = 1
● c = -6
b^2-4ac= (-5)^2-4*1*(-6) = 25+24 = 49>0
So this polynomial expression has two roots since the discriminant is positive
Let x" and x' be the roots:
● x'= (-b-7)/2a = (5-7)/2= -1
● x"= (-b+7)/2a = (5+7)/2 =6
7 is the root square of the discrminant
The factorization of this pulynomial is:
● a(x - x') (x-x")
● 1*(x-(-1)) (x-6)
● (x+1)(x-6)
So the right answer is c
■■■■■■■■■■■■■■■■■■■■■■■■
Second question:
The expression is: (-20*p^(-5)*q*r^(6))/(16*p^(-2)*q^(-3)*r^3)
To make it easier we will simplify the similar terms one by one.
● Constant terms
-20/16 = (-5*4)/(4*4) = -5/4
● terms containing p
-p^(-5)/p^(-2) = p^(-5-(-2)) = p^(-3) =1/p^3
● terms containg q
q/q^(-3)= q(1-(-3)) = q^4
● terms containg r
r^6/r^4 = r^(6-4) = r^2
Multiply all terms together:
● -5/4 *1/p^3 *q^4 *r^2
● (-5*q^4*r^2)/(4p^3)
The right answer is b
Simplify.
A12 over a7
Answer:
a^5.
Step-by-step explanation:
a^12 / a^7 = a^(12 - 7) = a^5.
Hope this helps!
What is square root of 68 in simplest radical form?
Answer:
2 root 17
Step-by-step explanation:
The square root of 68 in simplest radical form is 2√17
How to determine the square root of 68 in simplest radical form?From the question, we have the following parameters that can be used in our computation:
The square root of 68
Mathematically, we have
The square root of 68 = √68
Expand 68
So, we have
The square root of 68 = √(4 * 17)
So, we have
The square root of 68 = √4 * √17
Evaluate
The square root of 68 = 2 * √17
Evaluate the products
The square root of 68 = 2√17
Hence, the square root of 68 is 2√17
Read more about expressions at
https://brainly.com/question/30492964
#SPJ6
in a certain town there are 30000 registered voters, of whom 12000 are Democrats. A survey organization is about to take a simple random sample of 1000 registered voters. a) the expected value for the percentage of Democrats in the sample is
Answer:
400.
Step-by-step explanation:
The following data were obtained from the question:
Total number of Registered voters = 30000
Total number of Democrats = 12000
Next, we shall determine the percentage of Democrats in the registered voters.
This can be obtained as follow:
Percentage of Democrats = number of Democrats / Total number of registered voters x 100
Percentage of Democrats = 12000/30000 x 100
Percentage of Democrats = 40%
Now, we can obtain the expected value of percentage of Democrats in the 1000 sample as follow:
Percentage of Democrats = 40%
Total number of Sample = 1000
Number of Democrats in the sampl=..?
Percentage of Democrats = number of Democrats in sample / Total number of sample x 100
40% = number of Democrats in sample/1000
Cross multiply
Number of Democrats in sample
= 40% x 1000
= 40/100 x 1000
= 400
Therefore, the expected number of Democrats in the sample is 400.
Please answer now correct answer fast
Answer:
[tex] Area = 112.1 m^2 [/tex]
Step-by-step Explanation:
Given:
∆WXY
m < X = 130°
WY = x = 31 mm
m < Y = 26°
Required:
Area of ∆WXY
Solution:
Find the length of XY using Law of Sines
[tex] \frac{w}{sin(W)} = \frac{x}{sin(X)} [/tex]
X = 130°
x = WY = 31 mm
W = 180 - (130 + 26) = 24°
w = XY = ?
[tex] \frac{w}{sin(24)} = \frac{31}{sin(130)} [/tex]
Multiply both sides by sin(24) to solve for x
[tex] \frac{w}{sin(24)}*sin(24) = \frac{31}{sin(130)}*sin(24) [/tex]
[tex] w = \frac{31*sin(24)}{sin(130)} [/tex]
[tex] w = 16.5 mm [/tex] (approximated)
[tex] XY = w = 16.5 mm [/tex]
Find the area of ∆WXY
[tex] area = \frac{1}{2}*w*x*sin(Y) [/tex]
[tex] = \frac{1}{2}*16.5*31*sin(26) [/tex]
[tex] = \frac{16.5*31*sin(26)}{2} [/tex]
[tex] Area = 112.1 m^2 [/tex] (to nearest tenth).
a) A and B are the subsets of a universal set U in which there are n (U) = 54,
n (A) = 32, n (B) = 22 and n (
AB) = 9.
(i) Draw a Venn-diagram to illustrate the above information.
(ii) Find the value of n (AUB).
Step-by-step explanation:
I DON'T KNOW WHICH ANSWER IS CORRECT .
BUT MY ANSWER CAME THIS .
I HOPE IT WILL HELP YOU.
HAVE A NICE DAY.....
Colin leaves school to go home. He walks 3 blocks south and then 9 blocks west. If Colin could walk in a straight line to the school, what is the exact distance between Colin and the school?
Answer:
9.48*
Step-by-step explanation:
This is a right triangle. The formula for solving the Hypotenuse, or the longest side of the right triangle is A^2 + B^2 = C^2. If we put the numbers from the problem into the formula this is what we get :
3^2 + 9^2 = C^2
9 + 81 = C^2
90 = C^2
9.48 = C
* This is rounded, the exact number is closer to 9.486832980505138. Your class should tell you what to round to.
Answer:
The answer would be A. 3√10 blocks
Step-by-step explanation:
I have had this question and its 3√10 blocks.
Hope this helps you other people :))
27 - (2 + 3) - 10 ÷ 2
Answer:
27_5_10/2
27_5_5
22_5
17
Pls help me I need it pls!! I only need the last question which is "Find the weight of one circle. Show or explain how you got your answer. "
Which statements must be true about the reflection of
AXYZ across MN? Select three options.
A. m< X’ Z’ Y’= 90°
B. m< MCY= 90°
C. XX = YY
D. BZ = BZ
E. XY || X’ Y’
Answer:
abd
Step-by-step explanation:
The true statements about the reflection shown in picture attached are :
M∠X'Z'Y' = 90°
M∠X'Z'Y' = 90°m∠MCY = 90°
M∠X'Z'Y' = 90°m∠MCY = 90°BZ' ≅ BZ
What is reflection?Reflection is a type of transformation that flips a shape in a mirror line (also called a line of reflection) so that each point is the same distance from the mirror line as its reflected point.
here, we have,
When reflection of a preimage occurs, the image produced is congruent to the preimage because reflection produces isometric images. This means that both the preimage and image are similar in shape and size.
Since m∠XZY = 90°, will be congruent with the angle m∠X'Z'Y' ; Hence, m∠X'Z'Y' = 90°
The segment MN and YY' are perpendicular, hence forming a right angle. m∠MCY = 90°
B is the midpoint between ZZ'. Hence, the distance between BZ' and BZ will be the same. BZ' ≅ BZ
From the image produced, XY and X'Y are not parallel
Learn more on reflection :
brainly.com/question/17128025
#SPJ7
Complete question:
Which statements must be true about the reflection of ΔXYZ across Line M N? Select three options. M∠X'Z'Y' = 90° m∠MCY = 90° XX' ≅ YY' BZ' ≅ BZ XY || X'Y
use the graph to find the cost of 8 shirts
Answer:
Option B
Step-by-step explanation:
When we compare the number of shirt with it's cost, we find out that 8 shirts cost $120.
For more understanding, see the attached file.
Please help me with this question!! TRIGONOMETRY
Work Shown:
sin(angle) = opposite/hypotenuse
sin(35) = 10/x
x*sin(35) = 10
x = 10/sin(35)
x = 17.434467956211 make sure your calculator is in degree mode
x = 17.4
Answer:
[tex]\boxed{17.4}[/tex]
Step-by-step explanation:
sin [tex]\theta[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]
sin (35) = [tex]\frac{10}{x}[/tex]
x = [tex]\frac{10}{sin(35)}[/tex]
x = 17.4344679562...
x ≈ 17.4
The figure shows the location of 3 points around a lake. The length of the lake, BC, is also shown. (Figure is not drawn to scale.) Which of the following options is closest to the distance (in miles) between points A and B?
6.71 miles
7.35 miles
8.66 miles
10.82 miles
Answer:
3rad5
Step-by-step explanation:
[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {a }^{2} + {6}^{2} = {9}^{2} \\ {a }^{2} + 36 = 81 \\ {a}^{2} + 81 - 36 \\ {a}^{2} = 45 \\ \sqrt{a} = \sqrt{45} \\ a = 3 \sqrt{5} [/tex]
Answer:
It's A.) 6.71 miles
Step-by-step explanation:
I just took the quiz. May I have Brainiest???
plz help me x+y=7
x=3-y
Answer:
no solution
Step-by-step explanation:
x+y=7
x=3-y
Substitute the second equation into the first
(3-y) +y = 7
Combine like terms
3 = 7
This is never true so there is no solution
Answer:
[tex]\boxed{\mathrm{No \: solution}}[/tex]
Step-by-step explanation:
x + y = 7
Plug x = 3 - y
3 - y + y = 7
Combine like terms.
3 = 7
No solution.
ruth and terry planted tulip and crocus bulbs for 6 h. ruth planted 5 crocus bulbs in the time it took terry to plant 3 bulbs. how long would it take terry alone to complete the job
Answer:
16 hours
Step-by-step explanation:
In the time it took Ruth to plant 5 bulbs, Terry planted 3 bulbs. So, Terry did 3/8 of the work of planting 8 bulbs in that time.
We expect that Terry alone would take 8/3 of the time that it took when working together with Ruth.
(8/3)×(6 hours) = 16 hours . . . . . . for Terry to do the job alone
"Use what you know about zeros of a function and end behavior of a graph that matches the function f(x)=(x-3)(x-2)(x+1)." Choices below:
Explanation:
The x intercepts here are -1, 2 and 3. This is where the graph crosses the x axis. We can determine these three values by solving f(x) = 0.
In other words, set (x-3)(x-2)(x+1) equal to zero and solve for x.
(x-3)(x-2)(x+1) = 0
x-3 = 0 or x-2 = 0 or x+1 = 0
x = 3 or x = 2 or x = -1
x = -1 or x = 2 or x = 3
When we expand out (x-3)(x-2)(x+1), there will only be one x^3 term and the coefficient for this term is positive 1. The positive leading coefficient indicates that the graph goes up forever as we move to the right. In other words, the graph grows forever after passing that dip between x = 2 and x = 3.
Another way you could phrase it is that "as x goes to infinity, y also goes to infinity". An informal way is to say "the graph rises to the right" to describe the end behavior.
Write 985 in the standard form and find its
Product of divisors
,Sum of divisors.
Answer:
Step-by-step explanation:
985 = 5 * 197 = 1 * 5 * 197
The product of the divisors is 985
The sum is 203