Answer:
[tex]Profit = \$117.7[/tex]
Step-by-step explanation:
Given
Selling Price of:
[tex]Cookies = \$4.01[/tex]
[tex]Brownie = \$4.1[/tex]
[tex]Cake = \$30.54[/tex]
Quantities Sold:
[tex]Cookies = 13[/tex]
[tex]Brownies = 5[/tex]
[tex]Cake = 3[/tex]
Cost Price:
[tex]Cookies = \$1.79[/tex]
[tex]Brownie = \$0.63[/tex]
[tex]Cake = \$6.71[/tex]
Required
Determine the profit
First, we need to calculate the total cost price:
Total Cost Price = Item Cost Price * Quantity ---- For each
i.e.
[tex]Total\ Cost\ Price = \$1.79 * 13 + \$0.63 * 5 +\$6.71 * 3[/tex]
[tex]Total\ Cost\ Price = \$23.27 + \$3.15 +\$20.13[/tex]
[tex]Total\ Cost\ Price = \$46.55[/tex]
Then, the total selling price
Total Selling Price = Item Selling Price * Quantity ---- For each
[tex]Total\ Selling\ Price = \$4.01 * 13 + \$4.1 * 5 + \$30.54 * 3[/tex]
[tex]Total\ Selling\ Price = \$52.13 + \$20.5+ \$91.62[/tex]
[tex]Total\ Selling\ Price = \$164.25[/tex]
Profit is calculated as thus:
[tex]Profit = Total\ Selling\ Price - Total\ Cost\ Price[/tex]
[tex]Profit = \$164.25 - \$46.55[/tex]
[tex]Profit = \$117.7[/tex]
Find the directional derivative of the function at the given point in the direction of the vector v. G(r, s) = tan−1(rs), (1, 3), v = 5i + 10j
The directional derivative of [tex]f[/tex] at the given point in the direction indicated is [tex]\frac{5}{2}[/tex].
How to calculate the directional derivative of a multivariate function
The directional derivative is represented by the following formula:
[tex]\nabla_{\vec v} f = \nabla f (r_{o}, s_{o})\cdot \vec v[/tex] (1)
Where:
[tex]\nabla f (r_{o}, s_{o})[/tex] - Gradient evaluated at the point [tex](r_{o}, s_{o})[/tex].[tex]\vec v[/tex] - Directional vector.The gradient of [tex]f[/tex] is calculated below:
[tex]\nabla f (r_{o}, s_{o}) = \left[\begin{array}{cc}\frac{\partial f}{\partial r}(r_{o},s_{o}) \\\frac{\partial f}{\partial s}(r_{o},s_{o}) \end{array}\right][/tex] (2)
Where [tex]\frac{\partial f}{\partial r}[/tex] and [tex]\frac{\partial f}{\partial s}[/tex] are the partial derivatives with respect to [tex]r[/tex] and [tex]s[/tex], respectively.
If we know that [tex](r_{o}, s_{o}) = (1, 3)[/tex], then the gradient is:
[tex]\nabla f(r_{o}, s_{o}) = \left[\begin{array}{cc}\frac{s}{1+r^{2}\cdot s^{2}} \\\frac{r}{1+r^{2}\cdot s^{2}}\end{array}\right][/tex]
[tex]\nabla f (r_{o}, s_{o}) = \left[\begin{array}{cc}\frac{3}{1+1^{2}\cdot 3^{2}} \\\frac{1}{1+1^{2}\cdot 3^{2}} \end{array}\right][/tex]
[tex]\nabla f (r_{o}, s_{o}) = \left[\begin{array}{cc}\frac{3}{10} \\\frac{1}{10} \end{array}\right][/tex]
If we know that [tex]\vec v = 5\,\hat{i} + 10\,\hat{j}[/tex], then the directional derivative is:
[tex]\nabla_{\vec v} f = \left[\begin{array}{cc}\frac{3}{10} \\\frac{1}{10} \end{array}\right] \cdot \left[\begin{array}{cc}5\\10\end{array}\right][/tex]
[tex]\nabla _{\vec v} f (r_{o}, s_{o}) = \frac{5}{2}[/tex]
The directional derivative of [tex]f[/tex] at the given point in the direction indicated is [tex]\frac{5}{2}[/tex]. [tex]\blacksquare[/tex]
To learn more on directional derivative, we kindly invite to check this verified question: https://brainly.com/question/9964491
Which is a unit rate?
12 inches to 1 foot
3 hours to 1 hour
3 books for $10
4 cats to 3 dogs
Answer:
3 books for 10$
Step-by-step explanation:
Answer:
3 books for $10
Step-by-step explanation:
x : y = 1 : 5
a) y=5x
b) y = x/5
c) y = x - 4
d) y = x + 4
Answer:
y=5x
Step-by-step explanation:
please mark me as brainlest
Answer:
a) y = 5x
Step-by-step explanation:
Given :-
x : y = 1 : 5
Solving :-
x/y = 1/5
y = 5x
Solution :-
a) y = 5x
Find the value of x:
Answer:
x = 54°
Step-by-step explanation:
Since there are 180 degrees in a triangle, all you would do is add up the angles that you already have. In this case, you would do 64 + 62, which is 126. Then you would do 180 minus the sum of the other two degrees to find x. 180 - 126 = 54, so 54 is the value of x.
Hope this helps!!
Calculate the pay for the following day of a weekly time card given a wage of $ 12/hour.
Answer: $714
Step-by-step explanation:
Find the time distances between both of the times, one being 4 hours and one being 4 hours and 30 minutes. Now multiply 4x12 and 4.5x12. You get 48 and 54. Add these together and get 102. Now multiply 102 by the numbers of the week (7) and you get 714. With this knowledge you now know that is is $714
4√30^2 times 3√20x
(i will mark you brainliest if you answer this correctly)
Answer:
720[tex]\sqrt{5x}[/tex]
Step-by-step explanation:
First you want to simplify both of them. To do this on 4[tex]\sqrt{30^{2} }[/tex] you can just cancel out the square and the square root to get 4 x 30 which is 120. Now you simplify 3[tex]\sqrt{20x}[/tex] you do this by splitting the radical into 2 radicals. So you want to take out a perfect square which in this case is [tex]\sqrt{4}[/tex] and you have [tex]\sqrt{5x}[/tex] left over. This brings us to 120 x 3 x 2 (2 is the square root of 4) [tex]\sqrt{5x}[/tex]. Now multiply 120 x 3 x 2 and get 720[tex]\sqrt{5x}[/tex].
write the equation in slope intercept form. what are the slope and y intercept -5x-12y=11
Answer:
y = [tex]-\frac{5}{12} x[/tex] Slope is [tex]-\frac{5}{12}[/tex]; y-intercept is [tex]-\frac{11}{12}[/tex].
Step-by-step explanation:
-5x - 12y = 11 Add 5x to each side.
-12y = 5x + 11 Divide each side by -12.
y = [tex]-\frac{5}{12} x + (-\frac{11}{12} )[/tex] Change the + to -.
y = [tex]-\frac{5}{12} x - \frac{11}{12}[/tex]
Slope intercept form is y = mx + b, so slope is [tex]-\frac{5}{12}[/tex]; y-intercept is [tex]-\frac{11}{12}.[/tex]
Two functions are f(x) = (2x+5)/8 and g(x) 3x-4. If inverse of (fog)(x) is an identity function, find the value of x
Answer:
if the two graphs are symmetric with respect to the line y = x (mirror images over y = x ), then they are inverse functions.
Step-by-step explanation:
The value of variable x is,
⇒ x = - 3/2
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
Two functions are;
⇒ f(x) = (2x+5)/8 and g(x) = 3x - 4.
Here, The inverse of (fog)(x) is an identity function,
Hence, We get;
⇒ (f o g) (x) = f (g (x))
= f (3x- 4)
= [ 2 (3x - 4) + 5 ] / 8
= (6x - 8 + 5) / 8
= (6x - 3) / 8
Thus, The inverse of (fog)(x) is,
⇒ (f o g) (x) = (6x - 3) / 8
⇒ y = (6x - 3) / 8
Solve for x;
⇒ 8y = 6x - 3
⇒ 8y + 3 = 6x
⇒ x = (8y + 3) / 6
⇒ (f o g)⁻¹ (x) = (8x + 3) / 6
Here, The inverse of (fog)(x) is an identity function, \
Hence, We get;
⇒ (f o g)⁻¹ (x) = x
⇒ (8x + 3) / 6 = x
⇒ 8x + 3 = 6x
⇒ 8x - 6x = - 3
⇒ 2x = -3
⇒ x = - 3/2
Learn more about the function visit:
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NEED HELP PLEASE ASAP
Answer: 45?
Step-by-step explanation: because a perfect corner is 90 degrees so if you split that, you will get 45!
Sketch the graph of a relation that’s is a function
Answer:
See attached
Step-by-step explanation:
Refer to attachment
One relation is a linear function
Second one is a graph of non-functional relation
Answer:
below
Step-by-step explanation:
For the first graph, we can use a linear function as it means "straight" lines so when we use the vertical lines test, it passes it (shown below).
We can use a U shaped line so it when we use the vertical line test, it passes through two points to resemble its not a function (shown below).
Best of Luck!
Line segment MN has a midpoint of (7, 3. 5). Point N is located at (14, 7). What are the coordinates for point M?
(0. 0)
(10. 5, 5. 25)
(21. 10. 5)
(26, 14)
Answer: Start with the midpoint, G(10,8), and move your pencil point 4 units to the left and 1 unit up to reach the endpoint M(6,9). To find the other end point, start with the midpoint G(10,8) again, but now move your pencil point 4 units to the right and 1 unit down. Result: N(14,7).
Check: find the mean of the 2 x-coordinates: Does (6+14)/2 = 10, the x-coordinate of the midpoint? YES. Does (9+7)/2 = 8, the y-coord. of the midpoint? YES.
The desired other end point is therefore N(14,7).
Explanation: the standard coordinate plane, what is the midpoint of a line segment that goes from the point (3, 5) to the point (7, 9)?. Possible Answers: (–2, –2). (7, 5).
5. You can order video games from a company for $25 a
game, plus a $35 service charge for the entire order. If you
have $260, how many games, g, can you order?
Answer:
Step-by-step explanation:
25g + 35 = 260
25g = 225
g = 9 games
Pedro has a credit score of 895 and Bettina has a score of 768. A banker has decided that they both get a credit card; however, the borrower with the worst credit score will be charged an extra fee of $50.00. If they both receive a credit card with $1,500.00 credit, how much credit will Pedro have left after buying a bicycle for $425.00?
I NEED HIS CREDIT SCORE
Answer:
1075$ left
Step-by-step explanation:
1500-425
choose for brainliest if this helped pls!
A store sells ice cream with assorted toppings. They charge $3.00 for an ice cream, plus 50 cents per ounce of toppings.
If Elena’s ice cream cost $3.50 more than Jada’s ice cream, how much more did Elena’s toppings weigh?
Answer:
1 ounce of toppings
Step-by-step explanation:
A certain book is for sale in both belize and brazil. in belize, it sells for 80.39 belize dollars. in brazil, it sells for 63.65 brazilian reals. the exchange rate of us dollars to belize dollars is 1:1.9246, and the exchange rate of us dollars to brazilian reals is 1:1.7880. when converted into us dollars, which country sells the book at a more expensive price, and how much more expensive is it? round all currency values to two decimal places. a. the book costs $6.17 more in belize than in brazil. b. the book costs $11.89 more in brazil than in belize. c. the book costs $16.74 more in belize than in brazil. d. the book costs the same amount in both countries.
Belize is more expensive than Brazil. The book costs $6.17 more in Belize. Then the correct option is A.
What is subtraction?It simply means to deduct something from the object or number of group, place, etc. Subtraction means to take away from the group or a number of objects.
A certain book is for sale in both Belize and Brazil.
In Belize, it sells for 80.39 Belize dollars.
The exchange rate of us dollars to Belize dollars is 1:1.9246
The cost of a book in dollars will be
[tex]\rm \dfrac{C_{belize }}{80.39} = \dfrac{1}{1.9246}\\\\C _{belize } \ = 41.7697[/tex]
In Brazil, it sells for 63.65 Brazilian reals.
The exchange rate of us dollars to Brazilian reals is 1:1.7880.
The cost of a book in dollars will be
[tex]\rm \dfrac{C_{brazil}}{63.65} = \dfrac{1}{1.778}\\\\C _{brazil} \ = 35.5984[/tex]
The difference in the cost will be
[tex]\rm C _{belize} -C _{brazil} = 41.7697 - 35.5984 = 6.1713 \approx 6.17[/tex]
Belize is more expensive than Brazil. The book costs $6.17 more in Belize. Then the correct option is A.
More about the subtraction link is given below.
https://brainly.com/question/4319655
please check picture!!!!!
thank you
What is the midpoint of the segment below?
O A. (-1.1)
O B. (0.5, -0.5)
O c. (0,0)
O D. (0.5, 0.5)
B.
Step-by-step explanation:
to find the midpoint the formula is
[tex]( \frac{x2 + x1}{2} \frac{y2 + y1}{2} )[/tex]
so use the points provided and substitute them in to the formula!!
(-4,-7) = (x1, y1) (5,6) = (x2, y2)so now it would look like this inside the formula
and then you'll just solve that !!
[tex]\frac{5 + ( - 4)}{2} = \frac{1}{2} = 0.5[/tex]
so we know x = 0.5 now, solve for y
[tex]\frac{6 + ( - 7)}{2} = \frac{ - 1}{2} = - 0.5[/tex]
and we now know y = -0.5
point form (x,y) and you're all done !!
and this is why the answer is B. (0.5, -0.5)
find the equation of the line parallel to y= 6x+7 with a y-intercept of 8
Answer:
y=6x+8
Step-by-step explanation:
Since the lines are parallel, the slopes are the same. Once you have y=6x+b, you plug in (0,8) as the y-intercept and find that b=8.
Ryan decided to ride his bicycle X times around the neighborhood. His best friend
Tommy decided to ride his bicycle 4 times more than what Ryan rode. After they each
rode by themselves, they rode 8 times together around the neighborhood. Write an
expression to find out the total number of times they both rode around the
neighborhood
2x - 10
5x - 7
5x + 8
6x-3
5x + 8
easyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
I need help with number 6
Answer:
b
Step-by-step explanation:
given 2 chords intersecting , then the product of the parts of one chord is equal to the product of the parts of the other chord , that is
PZ × WP = XP × PY ( substitute values )
14 PZ = 7 × 12
14 PZ = 84 ( divide both sides by 14 )
PZ = 6
The length of the unknown leg is
Answer:
21
Step-by-step explanation:
29 squared then 20 squared
subtract them
then get the squared root
and then you have 21
Harlan makes a snack mix with proportional amounts of cereal and popcorn. The graph shows how much popcorn he uses with different amounts of cereal to make the snack mix.
How many cups of popcorn does Harlan use per cup of cereal?
cups
How many cups of cereal does Harlan use per cup of popcorn?
cups
Answer:
2 cups of popcorn and 1/2 cups of cereal per cup
Step-by-step explanation:
khan told me
2 inches on the map represents 0.5 miles on the ground. Find the scale ratio.
Step-by-step explanation:
far eastern coastal Seva inside and out of love
EiiekwkwkqHElp NOWSKKSKSKSKSKSKAKMAMQOQKWOWSKAKAK
Answer:
The answer is D or 13/36
Step-by-step explanation:
can I have help please
Step-by-step explanation:
Given: Two congruent sides, (DE and EF). Anlge. E is 36.
Let angle F be x°.
According to the base isoceles triangle theroem,
Two angles are equal if the sides they are opposite from are equal.Since Angle F is opposite from DE and Angle D is opposite from EF, and DE=EF.
Angle D = Angle F.
So using transitive property, Angle D is x°. as well.
All angles in triangles add up to 180 so
[tex]36 + x + x + = 180[/tex]
[tex]36 + 2x = 180[/tex]
[tex]2x = 144[/tex]
[tex]x = 72[/tex]
So angle F is 72°.
Since DF is opposite from 36°, the shortest angle, DF is the shortest side.
Two trains leave the same station at the same time, but are headed in opposite directions. One train travels at 70 mph and the other train travels at 80 mph. How much time passes until the trains are 600 mph apart
Answer:
4 hours
Step-by-step explanation:
I hope this helps :)
The highest common factor of 2x2 yz, 4xy2 z, 8xyz2
[tex]\longrightarrow[/tex]Let us write all expression in factorised form .
[tex]\sf 2x^2yz = \underline{2}\times \underline{x} \times x \times \underline{y} \times \underline{z}[/tex][tex]\sf 4xy^2z= \underline{2} \times 2 \times \underline{x} \times \underline{y} \times y \times \underline{z} [/tex][tex]\sf 8xyz^2= \underline{2} \times 2 \times 2 \times \underline{x}\times \underline{y} \times \underline{z} \times z [/tex][tex]\leadsto[/tex] Common factors are 2,x,y,z and their product will give us highest common factor
[tex]\implies \sf 2\times x\times y \times z[/tex]
[tex]\implies \sf 2xyz[/tex]
Is anyone able to help me with finding the volume of the triangular prism
Answer:
The answer is 1456
Step-by-step explanation:
Ok so what you have to do is take the 18 and the two 12s and you have to multiply then you have to square it and now i wasted your time and this is payback for deleting my post so no i cant help u with that
I need answers pls!!!!!!! :)
Answer:
Directly proportional, 2:3
Step-by-step explanation:
Directly proprtional as when one increases, so does the other.
2:3 because for every 2 notes there are 3 backbeats.
Rewrite the equation in slope-intercept form.
x - 19y = 4
Answer:
[tex]y = \frac{1}{19} x - \frac{4}{19} [/tex]
Step-by-step explanation:
[tex]x - 19y = 4[/tex]
Slope intercept form :
y= mx+b
Where ;
m = slope
b = intercept
[tex] - 19y = - x + 4[/tex]
Divide through by -19
[tex] \frac{ - 19y}{ - 19} = - \frac{x}{ - 19} + \frac{4}{ - 19} [/tex]
Simplify
[tex]y = \frac{1}{19} x - \frac{4}{19} [/tex]
Answer:
y = (1/19)x - (4/19)
Step-by-step explanation:
x-19y=4
19=m(slope) write it as 1/19
write 4 as 4/19(represents b or y-intercept)
y=mx+b
m=(1/19)
b=(4/19)
Plug in those numbers into the equation to get: y = (1/19)x - (4/19)
I hope that wasn't too confusing. LOL
Hope this helps!