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
Sarah serves at a restaurant and makes 20% of what she sells as tips. Her base salary is $10.20an hour. Each hour she sells an average of $60 of food and drinks. She also makes time and a half when she works over 8 hours during a single shift. Her work week contains three 10-hour shifts, one 5-hour shift, and one 11-hour shift. Using the same income deductions as stated in the previous question, what is Sarah’s annual gross income and annual net income.
Sara works 46 hours per week
9 hours are overtime and 37 hours are regular time
pay rate at time and a half: 10.20∗1.5=15.30
regular hours plus overtime pay
37∗10.20=377.40
9∗15.30=137.70
Income due to tips
Total hours worked∗60per hour∗20%
46∗60∗.20=552
Weekly Income=Hourly income + tips
Weekly Income=377.40+137.70+552.00
Weekly Income=1067.10
Annual income=Weekly income∗52
Annual income=55489.20
help me out??? first pic is the graph second is the answer choices
Answer: Choice D. 2x^2+2y^2 = 32
=================================================
Explanation:
The highest point of this circle is (0,4). The lowest point is (0,-4). The midpoint between the two mentioned points is (0,0). This is the center of the circle. You'll find that (0,0) is also the midpoint of the left-most and right-most points on this circle.
(h,k) = (0,0) is the center
r = 4 is the radius as it is the distance from the center to the edge of the circle
(x-h)^2 + (y-k)^2 = r^2
(x-0)^2 + (y-0)^2 = 4^2
x^2+y^2 = 16 is one way to express the equation of the circle
For some reason, your teacher has decided to multiply both sides by 2. I'm not exactly sure why. But doing so leads to...
x^2+y^2 = 16
2(x^2+y^2) = 2*16
2x^2+2y^2 = 32
This matches up with choice D.
Answer:
D.
Step-by-step explanation:
According to the graph, the circle has a center of (0, 0) and a radius of 4. That means that the equation of the circle will be (x - 0)^2 + (y + 0)^2 = 4^2.
x^2 + y^2 = 16
A. If you divided all terms by 20, the radius would become 16 / 20 = 8 / 10 = 0.8. That is not 1, so choice A is incorrect.
B. If you multiplied all terms by 6, the radius would be 16 * 6 = 96, which is not 144. Choice B is incorrect.
C. This choice is obviously incorrect, since it should be + y instead of - y.
D. This choice is correct. All terms are multiplied by 2.
Hope this helps!
BRAINLIEST! ASAP! A boat travelling at top speed upstream moves at 15km/hr. When it travels downstream, again at top speed< it moves at 25km/hr. What is the boat's top speed in still water?
Answer:
20 km/hr
Step-by-step explanation:
The boat's still-water speed is the average of its speeds against and with the current:
(15 +25)/2 = 20 . . . km/hr
__
If you want to write equations, you can let b and c represent the speeds of the boat and current in km/hr.
b - c = 15 . . . . upstream speed
b + c = 25 . . . . downstream speed
Add these two equations, and you get ...
(b -c) +(b +c) = (15) +(25)
2b = 40
b = 20 . . . . divide by 2
The speed of the boat in still water is 20 km/hr.
Answer:
20 km/hr
Step-by-step explanation:
To solve this, you have to find the average speed it is going. To find this, you just add up all of the speeds mentioned and divide it by the number of speeds you added.
15 +25=40
40/2=20
20km/hr!!!
Good luck on what you are doing I hope you do well! Brainliest would be great :)
In Central City, Elm Street and Maple Street are parallel to one another. Oak Street crosses both Elm Street and Maple Street as shown.
Tell whether each statement is True or False.
a. True.
b. False.
c. True.
d. True.
e. True.
Step-by-step explanation:a. This statement is true because angles 6 and 8 are vertical angles. That means they are congruent.
b. This statement is false because Elm Street is a straight line, which means that angles 1 and 2 are supplementary angles and their measures will add up to be 180 degrees. 65 + 125 = 190, which is not equal to 180.
c. This statement is true because angles 5 and 1 correspond to each other.
d. This statement is true because angles 7 and 8 form a straight line.
e. This statement is true because they are interior angles that are alternate.
Hope this helps!Find the value of x for which the function below is maximum
Answer:
x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given function;
y = 5 + x - x²
To find the maximum value, follow these steps
(i) Find the first derivative (which is the slope) of the given function with respect to x. i.e;
[tex]y^{'}[/tex] = [tex]\frac{dy}{dx}[/tex] = [tex]\frac{d(5 + x - x^2)}{dx}[/tex]
[tex]y^{'}[/tex] = [tex]1 - 2x[/tex]
(ii) From the result in (i) determine the value of x for which the slope is zero. i.e.
x for which
1 - 2x = 0
=> 1 = 2x
=> x = [tex]\frac{1}{2}[/tex]
Therefore, the value of x for which the function is maximum is [tex]\frac{1}{2}[/tex]
Answer:
x = 1/2
Step-by-step explanation:
The standard equation of a quadratic function is given by:
y = ax² + bx + c, If a > 0 then the graph has a minimum but if a < 0, then the graph has a maximum. To find the maximum or minimum, we differentiate the function with respect to x and equate to zero that is y'(x) = 0.
For the function y = 5 + x - x², a = -1 < 0, therefore it has a maximum.
Differentiating with respect to x:
y'(x) = 1 - 2x
Equating to zero
-2x + 1 = 0
-2x = -1
x = -1/ -2
x = 1/2
The function has a maximum at x = 1/2
In a small town, there are 4 times as many left-handed males as there are left-handed females, and there are 3 times as many right-handed females as there are right-handed males. There are a total of 204 males and 348 females in the town. Let x represent the number of left-handed females, and let y represent the number of right-handed males. Write a system of equations to represent the situation. What is the value of x, the number of left-handed females? A. 6 B.24 C. 96 D. 108
Answer: 24
Expenation:
Left handed females = x
right handed females = 348 - x
right handed males = y
left handed males = 204 - y
204 - y = 4x
348 - x = 3y
4x + y = 204 . . . . . . . (1)
x + 3y = 348 . . . . . . . (2)
From (2), x = 348 - 3y
subsituting for x in (1), we have
4(348 - 3y) + y = 204
1392 - 12y + y = 204
12y - y = 1392 - 204
11y = 1188
y = 1188/11 = 108
x = 348 - 3y = 348 - 3(108) = 348 - 324 = 24
Answer:
24
Step-by-step explanation:
i got it right
Which of the following is the concept illustrated with the misentered data? A. The procedure for constructing the confidence interval is not robust. The smaller the sample size, the less resistant the mean. Therefore, the confidence interval is more robust.
Answer:
B. Te procedure for constructing the confidence interval is robust. The larger the sample size, the more resistance the mean. Therefore, the confidence interval is more robust.
Step-by-step explanation:
Misentered data illustrates the concept that if the sample size is larger it will be more resistance to mean. This means confidence interval is more robust. In statistics, robust is a modification of confidence interval. It refers to strength of statistical model. Robust statistics is resistant to errors in statistical model.
Rosa earns $12 per hour. In 7.5 hours, she will earn x dollars. Which is a valid proportion that can be used to solve the problem? StartFraction x over 12 EndFraction = StartFraction 1 over 7.5 EndFraction StartFraction 1 over 12 EndFraction = StartFraction x over 7.5 EndFraction StartFraction 12 over 1 EndFraction = StartFraction x over 7.5 EndFraction StartFraction 12 over 1 EndFraction = StartFraction 7.5 over x EndFraction
Answer:
StartFraction x over 7.5 EndFraction = StartFraction 12 over 1 EndFraction
Step-by-step explanation:
Here, in this question, given that Rosa earns $12 in an hour, she earns x dollars in 7.5 hours. So we are interested in finding the value of x.
Let’s write this in terms of proportion;
$12 = 1 hour
$x = 7.5 hours
$12 * 7.5 hours = $x * 1 hour
So this can be rewritten as;
$x/7.5 = $12/1 hour
Answer: Start Fraction x over 7.5 End Fraction Start Fraction 12 over 1
explanation:
6) Which expressions are equivalent to 12x + 36y? Choose ALL that apply.
12(x + 3y)
9(3x + 4y)
6(2x + 6y)
4(3x + 9y)
2(6x + 24y)
3(4x + 12y)
the 1st one
third one
fourth one
the last one
each of the equation has one of the common factor out
12(x + 3y), 6(2x + 6y), 4(3x + 9y) and 3(4x + 12y) are the equivalent expressions of 12x + 36y.
What is Expression?An expression is combination of variables, numbers and operators.
Equivalent expressions are expressions that work the same even though they look different.
The given expression is 12x + 36y.
Twelve times of x plus thirty six times of y.
When we solve each expression we have to get 12x + 36y.
1. 12(x + 3y)- Equivalent expression
By distributive property
=12x+36y
2. 9(3x + 4y)- Not Equivalent expression.
27x+36y
3. 6(2x + 6y)- Equivalent expression
12x+36y
4. 4(3x + 9y)-Equivalent expression
5. 2(6x + 24y)- Not Equivalent expression.
12x+48y
6. 3(4x + 12y)-Equivalent expression
12x+36y
Hence, 12(x + 3y), 6(2x + 6y), 4(3x + 9y) and 3(4x + 12y) are the equivalent expressions of 12x + 36y.
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ5
the point slope form of the equation of the line that passes through (-5,1 ) and (10,-7) is y +7= - 1/2 (x-10) what is the standard form of the equation for this line ?
Answer:
The standard form of the equation is y = -x/2 -2
Step-by-step explanation:
The standard form of equation of this line is expressing the line in the form;
y = mx + c
So let’s make a rearrangement to what we have at hand;
y + 7 = -1/2(x-10)
2(y + 7) = -1(x-10)
2y + 14 = -x + 10
2y = -x + 10 -14
2y = -x -4
divide through by 2
y = -x/2 -2
Find the value of sin(θ) for an angle theta in standard position with a terminal ray that passes through the point (4,-3)
Answer:
[tex]\dfrac{-3}{5}[/tex]
Step-by-step explanation:
It is given that a terminal ray that passes through the point (4,-3).
x = 4
y = -3
Using Pythagoras theorem, the value of hypotenuse is
[tex]r=\sqrt{x^2+y^2}[/tex]
[tex]r=\sqrt{(-3)^2+(4)^2}[/tex]
[tex]r=\sqrt{9+16}[/tex]
[tex]r=\sqrt{25}[/tex]
[tex]r=5[/tex]
We, know that
[tex]\sin \theta = \dfrac{y}{r}[/tex]
[tex]\sin \theta = \dfrac{-3}{5}[/tex]
Therefore, the value of [tex]\sin \theta[/tex] is [tex]\dfrac{-3}{5}[/tex].
Answer:
Step-by-step explanation:
What is the height of the prism if there is 30 square centimeters and the volume is 90 cubic centimeters
Answer:
60
Step-by-step explanation:
Can someone help me ok this question
Answer:
the answer is 2/5 or 0.4
.
3x - 5y+5=0
4x+ 7y+8=0
Please help
Answer:
Y= -4. X=5
Step-by-step explanation:
This is a simultaneous equation
3x+5y= -5 ------------(1)
4x+5y= -8 ------------(2)
Using elimination method
Eliminate x
×4. 3x+5y= -5
×3. 4x+7y= -8
12x+20y= -20
-(12x+21y= -24) Minus
-y=4 therefore y= -4
Substitute x into equation 1
3x+5(-4)= -5
3x-20= -5
3x= -5+20
3x= 15
x=5
What is the value of f(-1) ?
Answer:
f(-1) = 12
Step-by-step explanation:
Using the graph for f(x) let x=-1
Find the y value when x= -1
f(-1) = 12
A man invested $800 at a 5.5% annual interest rate. How long will it take for his
money to earn $132 in interest?
Answer:
3 years
Step-by-step explanation:
I assume it's simple interest.
I = Prt
132 = 800 * 0.055 * t
t = 132/(800 * 0.055)
t = 132/44
t = 3
Answer: 3 years
the baseball team equipment manager received a shipment of new baseballs. out of 200 balls 12.5% had defects. How many baseballs were without defects?
Answer:
175 balls
Step-by-step explanation:
If 12.5 percent of the balls had defects, then [tex]100-12.5=87.5[/tex]% of balls didn't have defects.
We can find 87.5 percent of 200 by converting 87.5 to a decimal.
87.5% as a decimal is 0.875.
Now we multiply this decimal by 200.
[tex]200\cdot0.875 = 175[/tex]
So, 175 balls didn't have defects.
Hope this helped!
99 students choose to attend one of three after school activities: football, tennis or running.
There are 61 boys.
19 students choose football, of which 5 are girls.
31 students choose tennis.
28 girls choose running.
A student is selected at random.
What is the probability this student chose running?
Give your answer in its simplest form.
Answer: [tex]\dfrac{49}{99}[/tex]
Step-by-step explanation:
There are 61 boys --> 38 girls
A) 19 chose football: 5 are girls --> 14 are boys
B) 38 girls: 28 chose running, 5 chose football --> 5 girls chose tennis
C) 31 students chose tennis: 5 are girls --> 26 are boys.
D) 61 boys: 14 chose football, 26 chose tennis --> 21 boys chose running.
[tex]\large\boxed{\begin{array}{l|cc||c}&\underline{Boys}&\underline{Girls}&\underline{Total}\\Football&14&5&19\\Tennis&26&5&31\\\underline{Running}&\underline{\quad 21\quad}&\underline{\quad 28\quad}&\underline{\quad 29\quad}\\Total&61&38&99\end{array}}[/tex]
Total running = 21 boys + 28 girls = 49
Total students = 99
[tex]\dfrac{\text{Total running}}{\text{Total students}}=\large\boxed{\dfrac{49}{99}}[/tex]
Please answer this question now
Answer:
[tex] r = 17.5 [/tex]
Step-by-step explanation:
Given ∆TRS,
Where,
m < R = 105°
TR = s = 15
RS = t = 6
ST = r = ?
Find r using the Law of Cosines.
[tex] r^2 = s^2 + t^2 - 2*s*t*cos(R) [/tex]
Plug in the values stated above into the formula
[tex] r^2 = 15^2 + 6^2 - 2*15*6*cos(105) [/tex]
[tex] r^2 = 225 + 36 - 180*(-0.2588)[/tex]
[tex] r^2 = 261 + 46.584 [/tex]
[tex] r^2 = 307.584 [/tex]
[tex] r = \sqrt{307.584} [/tex]
[tex] r = 17.5 [/tex] (to the nearest tenth)
John lent 2,550 to Mohan at 7.5 per cent
per annum. If Mohan discharges the debt after
8 months by giving an old black and white
television and 1,422.50. Find the price of
the television.
Answer: $1,077.50 or $1,078.06 (see below)
Step-by-step explanation:
Since the interest is applied after 1 year and the debt was repaid in 8 months, no interest was accrued on the $2,550 loan.
Thus, the price of the tv is: $2,550 - $1,422.50 = $1,077.50
Note: If interest is charged for the 8 months (3/4 of a year), then the interest added to the loan amount is: 0.75(3/4) = $0.56
⇒ the the price of the tv is: $1,077.50 + $0.56 = $1,078.06
US
Find the value of x.
80
93
112
y
Z
x = [?]
Answer:
x = 74°
Step-by-step explanation:
The diagram shown in this question, is a Quadrilateral inscribed in a circle
It is important to note that
The sum of opposite angles in a Quadrilateral = 180°
93° + z = 180°
z = 180° - 93°
z = 87°
In a cyclic quadrilateral,
Intercepted angle = 1/2(Intercepted arc)
Intercepted angle = 93°
Intercepted arc = x + 112°
Hence,
93° = 1/2(x + 112)°
93° × 2 = x + 112°
186° = x + 112°
x = 186° - 112°
x = 74°
Answer:
It’s 87° for mine
Step-by-step explanation:
PLZ HELP WILL GIVE BRAINLIEST
Answer:
Hey there!
We have the slope is equal to -2.5, and the y intercept is 3.
Thus, the equation is y=-2.5x+3
Hope this helps :)
What is the vertex of y=-3x^2+6x+15? Help is much appreciated.
Answer:
(1, 18)
Step-by-step explanation:
Rewrite the equation in vertex form by completing the square for -3x^2 + 6x + 15. This = -3(x - 1)^2 + 18.
Set y equal to the new right side.
y = -3(x - 1)
Use the vertex form, y = a(x - h)^2 + k, to determine the values of a, h, and k.
a = -3
h = 1
k = 18
Vertex = (h, k) / (1, 18)
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
B.
Step-by-step explanation:
First, it must be in descending order (i.e. largest to smallest). Thus, we can eliminate C and D since they go from smallest to largest.
Next, we need to find the degree of A and B. The degree of a polynomial is simply the highest exponent value of all the variables in a single term. If this is confusing, let's use A as an example.
In A, we have four terms: x^3y^3, xy^2, 5xy, and -4. This is a sixth degree polynomial. This is because for the first and largest term, x^3 and y^3, the total value of their exponents is 6. Because of this, A is not our answer.
For B, the biggest term is xy^2, and the degree is 1+2=3. Therefore, our answer is B since it is a third degree polynomial and it's in descending order.
Note that C is also a third-degree polynomial, but it's not written in descending order.
If two digit number, the digit at unit place is
2 more the digit at tens place. If three times
the sum of digits is added to the number, the
number will be reversed. Find the number.
Answer:
24
Step-by-step explanation:
let the 2 digit number be ab then digit in unit place is 2 more than ten place
2 digit number is a a + 2 where b = a + 2.
Thus sum of digits = a + a + 2 = 2a + 2, then
ab + 3(2a + 2) = ba ← using place value of digits
10a + b + 6a + 6 = 10b + a, that is
16a + 6 + b = 10b + a ( subtract 10b + a from both sides
15a - 9b + 6 = 0 ← substitute b = a + 2
15a - 9(a + 2) + 6 = 0
15a - 9a - 18 + 6 = 0
6a - 12 = 0 ( add 12 to both sides )
6a = 12 ( divide both sides by 6 )
a = 2
Thus the number is 24
pleaseeeeee hellppp me pleadeee
Answer:
Mode: 100
Mean: 46.94444...
Median: 29.5
Range: 150
Step-by-step explanation:
Mode: most occurring number: 100
Mean: Plus everything and divide by how many number there is: 845/18=46.94....
Median: The middle number, but you need to line it from smallest to greatest.
0, 0, 0, 1, 3, 4, 5, 12, 29, 30, 40, 50, 100, 100, 100, 100, 121, 150
29 and 30 is in the middle. In this case, you plus 29+30 and divide by 2. =29.5
Range: Largest number-Smallest number. You also need to line it from smallest to largest: 150-0=150
Hope this helps, BRAINLIEST would really help me:)
PLSSSSS HELLLLLLP!!!!!
Answer:
[tex]\frac{3n^2-7n+15}{(n+3)(n-4)}[/tex] will be the answer.
Step-by-step explanation:
The given expression is,
[tex]\frac{3n}{(n+3)}+\frac{5}{(n-4)}[/tex]
By solving this expression,
[tex]\frac{3n}{(n+3)}+\frac{5}{(n-4)}[/tex]
= [tex]\frac{3n(n-4)}{(n+3)(n-4)}+\frac{5(n+3)}{(n+3)(n-4)}[/tex]
= [tex]\frac{3n(n-4)+5(n+3)}{(n+3)(n-4)}[/tex]
= [tex]\frac{3n^2-12n+5n+15}{(n+3)(n-4)}[/tex]
= [tex]\frac{3n^2-7n+15}{(n+3)(n-4)}[/tex]
Therefore, fraction given in option (2) will be the answer.
FIRST CORRECT ANSWER GETS BRAINLIEST 50 PTS [tex](2x-5)^{2} +3(2x-5)-18[/tex]
Answer:
4x² -14x - 8
Step-by-step explanation:
(2x - 5)² + 3(2x-5) - 18
Expand brackets.
(2x-5)(2x-5) + 6x -15 - 18
2x(2x-5)-5(2x-5) + 6x - 33
4x² - 10x - 10x + 25 + 6x - 33
Combine like terms.
4x² -14x - 8
Answer:
4x^2 -14x -8
Step-by-step explanation:
( 2x-5)^2 + 3( 2x-5) -18
Foil
(2x-5)(2x-5) = 4x^2 -10x-10x +25 = 4x^2 -20x+25
Distribute
3( 2x-5) = 6x -15
( 2x-5)^2 + 3( 2x-5) -18
Replace with the foil and distribute
4x^2 -20x+25 +6x -15 - 18
Combine like terms
4x^2 -14x -8
Factor the polynomial.
X2-13x+30
Answer:
[tex] \ \boxed{(x - 3)(x - 10)}[/tex]Step-by-step explanation:
[tex] {x}^{2} - 13x + 30[/tex]
Write -13x as a difference
[tex] {x}^{2} - 3x - 10x + 30[/tex]
Factor out x from the expression
[tex]x(x - 3) - 10x + 30[/tex]
Factor out -10 from the expression
[tex]x(x - 3) - 10(x - 3)[/tex]
Factor out x-3 from the expression
[tex](x - 3)(x - 10)[/tex]
Hope I helped!
Best regards!!
John has 9 boxes of apples. Each box holds 16 apples. If 7 boxes are full, and 2 of the boxes are half full, how many apples does john have?
Answer:
128 Apples
Step-by-step explanation:
Answer:
128 apples
Elaborated:
Your first multiple 16 and 7 which is 112. Your than multiply 2 and 8 since the remaining boxes are half full which is 16. 112+16 is 128. Hope this helps!