Answer:
75 dollars
Step-by-step explanation:
If an item is 50 and you want to markup 50%, you must find 50% of 50 to find how much the item will go up by from 50.
So 50% of 50 means 50% times 50.
50%=.5 or 1/2
So .5(50)=25.
The item is going up by 25 dollars.
So we started at 50 dollars.
So 50+25 is going to be the new amount.
50+25=75 is the new amount.
$75
Step-by-step explanation:In this question, it's asking you to find the selling price of an item after the markup.
We know that:
Item is $50There is a 50% markupWith the information above, we can find the answer.
A markup is pretty much an increase in a price. This means that in this context, the item's price increased by 50%
We're going to need to find how much the selling price is after the markup.
We would multiply 50 by 1.5 to find the selling price.
[tex]50*1.5=75\\\\\text{Or you can do it this way}\\\\50*0.5=25\\\\50+25=75[/tex]
With either method, you're still going to get 75.
This means that the selling price of the item after applying the markup value is $75
I hope this helps you out.Good luck on your academics.Have a fantastic day!Multiplying monomials and binomials
Answer:
[tex]28w^2-476w[/tex]
Step-by-step explanation:
The general rule we are going to use to multiply this out is the distributive property. Which is:
a(b+c) = ab + ac
Note: x * x = x^2
Now multiplying, we get:
[tex]28w(w-17)\\=28w*w-28w*17\\=28w^2-476w[/tex]
This is the multiplied out form, answer.
C-(-8) = 5 + 2C
What is the answer?
Answer:
C=3
Step-by-step explanation:
C-(-8) = 5 + 2C
C+8 = 5+2C
Subtract C from each side
C-C+8 = 5+2C-C
8 = 5+C
Subtract 5 from each side
8-5 = 5-5+C
3 =C
Answer:
The correct answer is C=3.
Step-by-step explanation:
To solve this problem, we should first eliminate the parentheses on the left side of the equation. To do this, we must recognize that there is subtraction of a negative number, which is the same as adding a positive number. This gives us:
C + 8 = 5 + 2C
Next, we should move all of the variable C's to one side of the equation and move all of the constants (the number terms) to the other side. To do this, we should subtract C from both sides of the equation (to cancel out the C on the left side, moving them to the right) and subtract 5 from both sides (to cancel out the 5 on the right side and move all of the constant terms to the left).
C - C + 8 - 5 = 5 - 5 + 2C - C
If we recognize which terms cancel, we get:
8 - 5 = 2C - C
When we combine like terms through subtraction on both sides, we get:
3 = C
Therefore, the answer is that C = 3.
Hope this helps!
Plz convert 5/10 into a simplified fraction and a decimal.
Step-by-step explanation:
[tex]\dfrac{5}{10}=\dfrac{5:5}{10:5}=\dfrac{1}{2}\\\\\dfrac{5}{10}=0.5[/tex]
Your beginning food inventory was 26,000. You have purchased an additional 24,000 and have accepted 12,000 in transfers from other locations. In total, you sold 39,000 worth of foodfor the same time period. Your ending inventory is 29,000. What is your gross profit margin percentage
?
Answer
130,000
Hope it helps!
The gross profit margin calculates as 15.38% for the given business scenario, calculated with the values provided in the sales, purchases, inventory, and transfers.
Explanation:The subject of this question is gross profit margin in a business, which can be calculated using certain financial figures and simple arithmetic. We start by determining the cost of goods sold (COGS), which includes the beginning inventory, any additional purchases, and transfers from other locations, subtracted by the ending inventory. Using your figures, we get the following calculation: $26,000 (beginning inventory) + $24,000 (purchases) + $12,000 (transfers) - $29,000 (ending inventory) = $33,000 (COGS).
Next, we subtract the cost of goods sold from the total sales to determine the gross profit: $39,000 (total sales) - $33,000 (COGS) = $6,000 (gross profit).
Finally, to find the gross profit margin percentage, we divide the gross profit by total sales, and then multiply by 100, which gives us: $6,000/$39,000 * 100 = 15.38%.So, your gross profit margin percentage is 15.38%.
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Simplify the expression.
-(10)^-2
1/10^2
-1/10^2
-1/-2^10
10^2
Answer:
the answer is 10^2
thanks. hope full it help you
Answer:
10^2
your welcome :>
Barbara sells iced tea for $1.49 per bottle and water for $1.25 per bottle. She wrote an equation to find the number of bottles she needs to sell to earn $100.
1.25x + 1.49 = 100
What error did Barbara make in writing the equation?
Answer:
Since she is selling 1.49 per iced tea bottle, and 1.25 per water bottle, and she only consitered how many water bottles she would sell, and not iced tea bottle, the awnser would be: "Barbara's equation did not consider the number of iced tea drinks."
or
the equation did not account for the number of iced tea drinks.
it should be:
let x = number of water drinks.
let y = number of ice tea drinks.
1.25x + 1.49y = 100
Solve for x in the equation x2 - 4x - 9 = 29.
Answer:
[tex] x = 2 + \sqrt{42} [/tex] or [tex] x = 2 - \sqrt{42} [/tex]
Step-by-step explanation:
[tex] x^2 - 4x - 9 = 29 [/tex]
Subtract 29 from both sides.
[tex] x^2 - 4x - 9 - 29 = 29 - 29 [/tex]
[tex] x^2 - 4x - 38 = 0 [/tex]
There are no two integers whose sum is -4 and whose product is -38, so the trinomial is not factorable. We can use the quadratic formula.
a = 1; b = -4; c = -38
[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex] x = \dfrac{-(-4) \pm \sqrt{(-4)^2 - 4(1)(-38)}}{2(1)} [/tex]
[tex] x = \dfrac{4 \pm \sqrt{16 + 152}}{2} [/tex]
[tex] x = \dfrac{4 \pm \sqrt{168}}{2} [/tex]
[tex] x = 2 \pm \dfrac{\sqrt{4 \times 42}}{2} [/tex]
[tex] x = 2 \pm \dfrac{2\sqrt{42}}{2} [/tex]
[tex] x = 2 \pm \sqrt{42} [/tex]
[tex] x = 2 + \sqrt{42} [/tex] or [tex] x = 2 - \sqrt{42} [/tex]
what is -3x^2-4x-4=0
Answer:
no real solutionStep-by-step explanation:
[tex]-3x^2-4x-4=0\qquad\text{change the signs}\\\\3x^2+4x+4=0\\\\\text{use the quadratic formula:}\\\\\text{for}\ ax^2+bx+c=0\\\\\text{if}\ b^2-4ac<0,\ \text{then an equation has no solution}\\\\\text{if}\ b^2-4ac=0,\ \text{then an equation has one solution}\ x=\dfrac{-b}{2a}\\\\\text{if}\ b^2-4ac>0,\ \text{then an equation has two solutions:}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]\text{We have}\ a=3,\ b=4,\ c=4.\\\\\text{Substitute:}\\\\b^2-4ac=4^2-4(3)(4)=16-48=-32<0\\\\\bold{no\ real\ solution}[/tex]
Quadrilateral ABCD is reflected across the x-axis and then reflect across the y-axis to form quadrilateral A′B′C′D′. If the coordinates of vertex A are (-7, 3), what are the coordinates of vertex A′?
A.
(7, 3)
B.
(-7, -3)
C.
(7, -3)
D.
(-7, 3)
E.
(3, 7)
Answer:
B(-7,-3)
Step-by-step explanation:
When you reflect across the x axis, your y coordinate is multiplied by -1.
(-7,-1(3))
(-7,-3)
The only answer choice that is the same as my result is B.(-7,-3).
Which triangle is a 300-60°-90° triangle?
10
5/3
15
5/3
Check the picture below.
Answer:
A)
Step-by-step explanation:
The 30-60-90° triangle has the side lengths of 1, √3, 2, so you should find the triangle that fits this measurement.
A) is your answer for:
Side with measurement 1 (30°): 5
5 is your measurement for the side measurement of 1. The next measurement (60°) must be x √3: 5 x √3 = 5√3 (Side on the bottom).
The last measurement (90°) 2 is twice the measurement of 1: 5 x 2 = 10 (Hypotenuse, side on top).
A) is your answer.
~
The vertex of this parabola is at (2,-4). When the y value is -3, the x-value is
-3. What is the coefficient of the squared term in the parabola's equation?
[tex]\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} \stackrel{\textit{we'll use this one}}{y=a(x- h)^2+ k}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{}{ h},\stackrel{}{ k}) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{we know that } \begin{cases} h=2\\ k=-4 \end{cases}\implies y=a(x-2)^2-4 \\\\\\ \textit{we also know that } \begin{cases} y = -3\\ x = -3 \end{cases}\implies -3=a(-3-2)^2-4\implies 1=a(-5)^2 \\\\\\ 1=25a\implies \boxed{\cfrac{1}{25}=a}[/tex]
Answer:
it is not 5
so there are only three options left
5. There are 396 persons in a theater. If the ratio of women to men is 2:3, and the ratio of men to
children is 1:2, how many men are in the theater?
Answer:
The number of men = 108
Step-by-step explanation:
Total person = 396
ratio of women to men = 2:3
ratio of men to children = 1:2=2:4=3:6
Women = 2
Men = 3
Children = 6
Hence,
women+men+children = 2+3+6 = 11
Now finding out the percentage of each
Women = 2/11 * 396
= 792/11
=72
Men = 3/11 * 396
=1188/11
=108
Children = 6/11 *396
=2376/11
=216
Thus the number of men = 108 ....
identify the domain and range of each situation using words and inequalities.
Victoria recently switched to a new electric
company. If she uses between 0 and 400
kilowatt-hours (kWh) of electricity per month,
the cost is a set price of $30. If she uses 400
kWh or more per month, the price is $0.097
per kWh.
Answer:
When x=0 to 400, y=30. This makes ths domain for this inequality 0 to 400 and the range is just 30. When x>400, y=.097x. This makes the domain from 400 to infinity and the range .097(401) to infinity.
Step-by-step explanation:
The price is set between 0 and 400 kWh at $30 dollars flat. The price, however, for any usage of electric greater than 400 kWh is $.097 for every kWh used, making it multiply by the kWh.
The domain (electricity usage) is 0 to infinity kilowatt-hours (0 ≤ kWh < ∞), and the range (cost) has two parts: a fixed cost of $30 (for 0-399 kWh) and a variable cost that starts at $38.80 and can increase infinitely ($30 < Cost < ∞) for usage of 400 kWh or more.
Explanation:To identify the domain and range of the cost of electricity based on Victoria's usage, let's consider two situations described:
When Victoria uses between 0 and 400 kilowatt-hours (kWh) of electricity per month, the cost is a flat rate.When Victoria uses 400 kWh or more per month, the cost is based on the amount she uses at a rate of $0.097 per kWh.Domain (Electricity Usage in kWh): This refers to the amount of electricity used. Victoria's electricity usage is between 0 kWh and any upper limit (which isn't specified but is typically determined by practical or contractual limits). So, we can express the domain in inequalities as 0 ≤ kWh < ∞ (where ∞ represents infinity).
Range (Cost in $): For the first situation, since the cost is set no matter the usage between 0 and 400 kWh, the range is a single value of $30. In the second situation, the cost starts at $0.097 per kWh for 400 kWh, which is $38.80, and increases as more electricity is used. Thus, the range for the second part is $30 < Cost < ∞.
The domain is specified in kilowatt-hours and is not capped, indicating it's a continuous set of values over a range from 0 to infinity. The range for the cost has two distinct parts: a fixed cost for usage under 400 kWh, and a variable cost that starts at a minimum value and increases potentially without bound for usage above 400 kWh.
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Kali runs 10 laps around a track each day. each lap around the is 400 meters. how many days will it take kali to run a total of 12 kilometers.
Answer:
3 days
Step-by-step explanation:
First multiply 10 by 400 to find how many meters she runs each day.
10*400 = 4,000
1 kilometer = 1,000 meters
Now convert the meters to kilometers
To convert it to kilometers you divide 4,000 by 1,000, which equals 4 kilometers.
So she runs 4 kilometers each day.
Now divide 12 by 4 to find out how many days it will take to run 12 kilometers.
12/4 = 3 days
An abundant number is a positive integer N such that the sum of the factors of N (not including N) is greater than N. What is the smallest abundant number?
A circle has a central angle measuring 10 radians that intersects an arc of length 33 cm. What is the length of the radius of
the circle? Round your answer to the nearest whole cm. Use 3.14 for
11 cm
15 cm
22 cm
41 cm
Answer:
it 15cm im sure of it tell me if you get it right
Answer:
15 cmStep-by-step explanation:
The central angle for this problem is:
[tex]\frac{7 \pi}{10}rad \approx 2.2 rad[/tex]
To solve this problem, we have to use an expression that relates, central angle, arc length and radius, which is:
[tex]s=\theta r[/tex]
So, we isolate the radius and solve:
[tex]r=\frac{s}{\theta}=\frac{33cm}{2.2rad}=15cm[/tex]
Therefore, the right answer is the second option.
what is the equation of the following line? (7,2) (0,0)
Let m = slope
m = (0-2)/(0-7)
m = -2/-7
m = 2/7
y - 0 = (2/7)(x - 0)
y = (2/7)x
Did you follow?
The equation of the line for the given coordinates [tex](7,2) , \ (0,0)[/tex] is equal to [tex]y= \frac{2}{7}x[/tex].
What is equation?"Equation is defined as the relation between the variables using the sign of equality."
Formula used
Slope [tex]'m' = \frac{y_{2} -y_{1}}{x_{2} -x_{1}}[/tex]
Equation of line passing through a point
[tex]y- y_{1} = m (x- x_{1})[/tex]
According to the question,
Given coordinates,
[tex](x_{1} ,y_{1}) = (7,2)\\\\(x_{2} ,y_{2}) = (0,0)[/tex]
Substitute the value in the formula to get slope,
[tex]m = \frac{0-2}{0-7}[/tex]
[tex]= \frac{2}{7}[/tex]
Substitute the value in the formula to get equation of the line,
[tex]y-2= \frac{2}{7} (x-7)\\\\\implies y-2 = \frac{2}{7}x -2\\ \\\implies y = \frac{2}{7}x[/tex]
Hence, the equation of the line for the given coordinates [tex](7,2) , \ (0,0)[/tex] is equal to [tex]y= \frac{2}{7}x[/tex].
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what is the intercept for the graph of this line? 5x -3y =11
Step-by-step explanation:
[tex]5x-3y=11\\\\x-intercept\ is\ for\ y=0\\\\5x-3(0)=11\\5x-0=11\\5x=11\qquad\text{divide both sides by 5}\\x=\dfrac{11}{5}\\\\y-intercept\ is\ for\ x=0\\\\5(0)-3y=11\\0-3y=11\\-3y=11\qquad\text{divide both sides by (-3)}\\y=-\dfrac{11}{3}[/tex]
What does the line y = 2x + 5 look like?
Answer:
A line with slope 2 and y-intercept 5.
Step-by-step explanation:
y=mx+b is the slope-intercept form of a line with slope,m, and y-intercept ,b.
y=2x+5 is in this exact form.
This means y=2x+5 is a line with slope 2 and y-intercept 5.
You can graph this by first plotting the y-intercept (0,5).
You can then use the slope to find another point. Keep in my the slope=rise/run so you might want to write it as a fraction.
The slope=2/1, this means you will rise 2 units and go right 1 unit.
So if you start at (0,5) then you can find another point by going to (0+1,5+2)=(1,7).
So if you graph (0,5) and (1,7) and then connect them with a straight-edge you have graphed y=2x+5.
VW is parallel to YZ in the map below.
Answer:
3/4=x/9
Step-by-step explanation:
I think we use the side slitter theorem for this case so x/9 pair together and 3/4 also.
This mathematics question from a high school student is about geometric relationships in a three-dimensional coordinate system, with details specifically on parallel lines, vector addition, and a Weissenberg diagram relevant to crystallography.
Explanation:The question on which assistance is sought pertains to geometric concepts, specifically those related to parallel lines and coordinates in a plane or space. In this context, VW being parallel to YZ implies that these lines are in the same geometric plane and maintain a constant distance from each other. Given that the z-axis is horizontal, the x-axis points backward, and the y-axis points upward, we are discussing a three-dimensional Cartesian coordinate system.
Understanding the Weissenberg diagram involves knowledge of crystallography and rotation-oscillation methods. The passage also explains that the vector w lies in the y'z' plane indicating that the vector has no x-component, as mentioned by Wx' = 0. When solving problems like these, it's important to follow vector addition rules and define your axis system correctly, as in the statement that defines +x to be eastward and +y to be northward, which is related to navigation and mapping conventions.
Figures from MIT OCW suggest that the concept of 'contour lines' and their relationship to topographical features such as valleys and ridges is also being examined.
Factor completely.
5x^2 + 10x - 40
Answer:
5(x + 4)(x - 2)
Step-by-step explanation:
Start by factoring 5 out of all three terms. We then have
5(x^2 + 2x - 8), or
5(x^2 + 2x - 8), which is in proper quadratic form.
Note that (4)(-2) = 8 and that 4 - 2 = 2, which match the 3rd and 2nd coefficients of x^2 + 2x - 8.
Thus, in completely factored form, we have 5(x + 4)(x - 2)
Answer:
5 (x -2) (x +4)
Step-by-step explanation:
5x^2 + 10x - 40
Factor out a 5
5(x^2 +2x-8)
We can then factor inside the parentheses
What two numbers multiply to -8 and add to 2
-2*4 = -8
-2+4 = 8
5 (x -2) (x +4)
Select the correct answer from each drop-down menu. If u = <-4, 8> and v = <-7, 5>, v − 5u = and ||v − 5u|| ≈ .
Answer:
v-5u = <13,-35>
||v − 5u|| = 37.33
Step-by-step explanation:
If u = <-4, 8> and v = <-7, 5>
a) v-5u
Multiply u with 5 and then subtract from v
v-5u = <-7,5>-5<-4,8)>
v-5u = <-7,5> - <-20,40>
v-5u = <-7+20,5-40>
v-5u = <13,-35>
b) ||v − 5u||
We already have found v-5u=<13,-35>
Now, we will find ||v − 5u|| = [tex]\sqrt{(v)^2+(u)^2}[/tex]
||v − 5u|| = [tex]\sqrt{(13)^2+(-35)^2}[/tex]
||v − 5u|| = [tex]\sqrt{169+1225}[/tex]
||v − 5u|| = [tex]\sqrt{1394}[/tex]
||v − 5u|| = 37.33
By multiplying vector 'u' by the scalar 5 and subtracting it from 'v', we derive the resultant vector <13,-35>. The magnitude of this vector is approximately 37.36 units.
Explanation:The question involves vector operations, specifically the subtraction of a scalar multiple of a vector from another vector. Let's break down the process. First, multiply vector 'u' by the scalar 5, resulting in: 5u = <5*(-4),5*8> = <-20,40>. Next, subtract this new vector from 'v': v - 5u = <-7,5> - <-20,40> = <(-7)-(-20), 5-40> = <13,-35>. That's the result for v-5u.
To find the magnitude of a vector, we use the formula ||v||= sqrt(x^2 + y^2). So ||v - 5u|| = sqrt((13)^2 + (-35)^2) = sqrt(169 + 1225) = sqrt(1394) ≈ 37.36.
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Which phrase best descubes the translation from the graph y = (x - 5)2 + 7 to the graph of y = (x + 1)2 - 2?
6 units left and 9 units down
6 units nght and 9 units down
6 units left and 9 units up
6 units right and 9 units up
Answer:
"6 units left and 9 units down"
Step-by-step explanation:
Suppose a function is given in this form:
[tex]y=(x-a)^2+b[/tex]
This is the parent function y = x^2
translated a units right (left if there was a + before a)translated b units up (down if there was a - before b)Now, to go from [tex]y=(x-5)^2+7[/tex] to [tex]y= (x+1)^2-2[/tex] , we can see that:
first function is 5 units right and 2nd one is 1 unit left, so there is a horizontal translation of 6 units leftfirst function is 7 units above and 2nd one is 2 units down, so there is a vertical translation of 9 units downThus, "6 units left and 9 units down" is the transformation(translation).
1. Find the number of real number solutions for the equation.
x2 - 18 = 0
A. cannot be determined
B 2
C 1
D O
Answer:
b. 2
Step-by-step explanation:
Sally has 6 red flags, 4 green flags, and 2 white flags. How many 12-flag signals can she run up a flag pole?
[tex]\dfrac{12!}{6!4!2!}=\dfrac{7\cdot8\cdot9\cdot10\cdot11\cdot12}{2\cdot3\cdot4\cdot2}=13860[/tex]
Find the LCD for the following fractions: , 25x3 60x3 25x5 60x5
Answer:
We need to find the lowest common divisor which is the smallest possible number that is dividable by ALL numbers.
We have the following numbers:
[tex]\frac{25}{3}[/tex]
[tex]\frac{60}{3}[/tex]
[tex]\frac{25}{5}[/tex]
[tex]\frac{60}{5}[/tex]
For the denominators (3, 3, 5, 5) the least common multiple (LCM) is 15.
LCM(3, 3, 5, 5) . Therefore, the least common denominator (LCD) is 15.
Rewriting the original inputs as equivalent fractions with the LCD:
125/15, 300/15, 75/15, 180/15
RST= XYZ. If RT = 10, XY = 18, and YZ = 12, what is XZ?
Answer:
A. 10
Step-by-step explanation:
RT = XZ
With this being stated, XZ also has to be 10.
I am joyous to assist you anytime.
If f (x) = 3(x+5) + 4/x what is f(a+2)?
Answer:
f(a+2)= 3((a+2)+5) +4/(a+2)
Step-by-step explanation:
Since X was exchanged for a+2, you have to set a+2 as x in the problem.
Answer:
[tex]\large\boxed{f(a+2)=3(a+7)+\dfrac{4}{a+2}}[/tex]
Step-by-step explanation:
[tex]f(x)=3(x+5)+\dfrac{4}{x}\\\\f(a+2)-\text{put x = a + 2 to the equation of f(x):}\\\\f(a+2)=3\bigg((a+2)+5\bigg)+\dfrac{4}{a+2}=3(a+2+5)+\dfrac{4}{a+2}\\\\f(a+2)=3(a+7)+\dfrac{4}{a+2}[/tex]
A pastry chef wants to bake and sells fries. Before they start production, they need to make sure they can make a profit with the materials and labor force they have. Their accountant has given them a cost equation of y=0.65x+1410 and a revenue equation of y=0.8x. How many pies will they need to sell in order to reach the break order point?
Answer:
They need to sell 9400 pies to reach the break-order point
Step-by-step explanation:
* Lets explain the break-order point
- The break-order point is the point at which total cost and total
revenue are equal
∴ The total cost = The total revenue
* Lets solve the problem
∵ The equation of the total cost is y = 0.65x + 1410
∵ The revenue equation is y = 0.8x
- To find the break-order point equate the two equations
∴ 0.65x + 1410 = 0.8x
- Subtract 0.65x from both sides
∴ 1410 = 0.8x - 0.65x
∴ 0.15x = 1410
- Divide both sides by 0.15
∴ x = 1410/0.15 = 9400
∵ x is the number of pies
* They need to sell 9400 pies to reach the break-order point
What are the zeros of the function below? Check all that apply.
F(x) =x(x-2)/(x+3)(x-5)
Answer:
x = 0 and x = 2Step-by-step explanation:
[tex]\text{The domain:}\\\\(x+3)(x-5)\neq0\iff x+3\neq0\ \wedge\ x-5\neq0\\\\x\neq-3\ \wedge\ x\neq5\\\\========================\\\\f(x)=\dfrac{x(x-2)}{(x+3)(x-5)}\\\\\text{The zeros are for}\ f(x)=0\\\\\dfrac{x(x-2)}{(x+3)(x-5)}=0\iff x(x-2)=0\iff x=0\ \vee\ x-2=0\\\\x=0\in D\ \vee\ x=2\in D[/tex]