An equation is formed when two equal expressions. The company is planning to produce 25 mountain bikes and 15 trail bikes.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the number of mountain bikes produced by the company be x, while the number of trail bikes produced by the company is y.
The cost of materials for a mountain bike is $40, and the cost of materials for a trail bike is $40. Also, the budget of the company is $1,600. Therefore,
1600 = 40x + 40y
x + y = 40
y = 40-x
The cost of labour to manufacture a mountain bike is $90, and the cost of labour to manufacture a trail bike is $30. Also, the budget for labour is $2,700.
2700 = 90x + 30y
2700 = 90x + 30(40-x)
2700 = 90x + 1200 - 30x
1500 = 60x
x = 25
Substitute the value of x,
y = 40 - x
y = 15
Hence, the company is planning to produce 25 mountain bikes and 15 trail bikes.
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Find the value of x for which the lines I and m are parallel.
5x+13
11x-73
14.3
15
16.6
10
Answer:
15
Step-by-step explanation:
5x+13+11x-73=180°( co-interior angles sum is 180)
5x+11x+13-73=180°
16x-60=180
16x=180+60
16x=240
x=15
20 points/ Brainliest!!
What set of transformations are applied to parallelogram ABCD to create A”B”C”D?
Answer:
A) Reflected over the x axis and reflected over the y-axisStep-by-step explanation:
ABCD moves 2 quadrants, so has to move over 2 axes.
So, the only option that would work is A).
Hope this helps.
Select the correct answer.
To solve this system of equations using substitution, what could be substituted in place of y in the first equation?
4x=5-2y
y-2x=7
A 7-2x
B. 4x-5
C. 5-4x/2
D. 2x + 7
C
when doing substitution,you must make one a subject,which is y in this case.To make y the subject,you must move -2y to 4x to make the y positive,that leaves us with 2y+4x=5.Now move the 4x to 5 to make 2y=5-4x.Lastly,to make y the subject,divide both side by 2 to remove the 2 from the y, which leaves us with y=5-4x/2
The proof is converted to paragraph form.
Which parts of the paragraph proof are incorrect?
AMC is a right angle is given. BMD is a right angle is also given. Since XAMC is a right angle, BMC and XCMD are
complementary. Since BMD is a right angle, AMB and BMC are complementary. By the Congruent Complements Theorem,
AMB CMD.
The part of the proof regarding the triangle that is incorrect is By the Congruent Complements Theorem AMB CMD.
How to illustrate the information?From the information given, it should be noted that AMC is a right angle and also that BMD is a right angle.
Therefore, it illustrates that AMC and BMD are equal.
Therefore, by the Congruent Complements Theorem AMC and BMD are equal.
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two siblings are 55 years old combined the youngest sibling is 9 years younger than the oldest sibling how old is the youngest sibling
To solve systems of equations word problems, we can delegate certain variables to subjects mentioned in the word problem. From there, we can form equations based on the given values.
Solving the QuestionLet a be the older sibling's age and b be the younger sibling's age.
We're given:
a + b = 55 years oldb + 9 years = aAll we've done so far is translate the given sentences into equations. Now, we have to solve for b, which is the age of the youngest sibling. Solve using substitution:
[tex]a+b=55\\(b+9)+b=55\\b+9+b=55\\2b+9=55\\2b=46\\b=23[/tex]
Therefore, the younger sibling is 23 years old.
Answer23 years old.
4/3 ÷21/5 what is this answer
20/63
Step-by-step explanation:
Use Keep Change Flip so your question would become 4/3 multiplied by 5/21
Answer:
20/63
Step-by-step explanation:
[tex]\frac{4}{3} /\frac{21}{5} =\frac{(4)(5)}{(3)(21)} =\frac{20}{63}[/tex]
Hope this helps
You work as an assistant for a local musical theatre group, the Main Street Theatre Company. The company is putting on a production of Les Misérables this year, and they need your help planning it.
Since the role of young Cosette is played by a child, the Main Street Theatre company must actually cast 3 girls in the role of young Cosette, and alternate girls from night to night. (This is because of restrictions on working hours for children.) You have received headshots and resumes from 25 girls who wish to audition for young Cosette.
When casting the first young Cosette, the casting director has _[blank 1]_ girls to choose from. When casting the second young Cosette, she has _[blank 2]_ girls to choose from, and when casting the third young Cosette, she has _[blank 3]_ girls to choose from.
Match each numbered blank to the answer that correctly satisfies the corresponding blank in the previous sentences.
The required blank 1, blank 2 and blank 3 would be filled with 25 girls, 22 girls, 19 girls respectively.
Theatre company must cast 3 girls.
And has 25 resumes girls who wish audition.
permutation can be defined as study of combinations.
In the question we are asked to calculate the number of girls left after the director chooses.
At first director chooses 3 from 25.
At second director chooses 3 from 22.
At third director chooses 3 from 19.
Thus, the required blank 1, blank 2 and blank 3 would be filled with 25 girls, 22 girls, 19 girls respectively.
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Aamir wants to add 894 and 76. He first adds 890 and 80. What should he do next to get the correct answer?
O add 4
O add 8
O subtract 4
O He has already calculated the correct answer in the first step
Which function is a quadratic function?
y - 3x² = 3(x² + 5) + 1
y²-7x = 2(x² + 6) + 7
y-2x² = 6(x3 + 5)-4
y - 5x = 4(x + 5) + 9
Answer:
y – 3x2 = 3(x2 5) 1 is correct
Step-by-step explanation:
hope this helps this may be wrong
Edgar records the time that it takes his school bus to take him from the bus stop
to school each day. This is a
______ random variable.
A. continuous
B. infinite
C. discrete
D. intervalled
Answer: I'm pretty sure it is D. intervalled
explanation: Because it can never be exact each and every time
Schweser Satellites Inc. produces satellite earth stations that sell for $115,000 each. The firm's fixed costs, F, are $3 million, 50 earth stations are produced and sold each year, profits total $600,000, and the firm's assets (all equity financed) are $4 million. The firm estimates that it can change its production process, adding $3 million to assets and $500,000 to fixed operating costs. This change will reduce variable costs per unit by $12,000 and increase output by 15 units. However, the sales price on all units must be lowered to $110,000 to permit sales of the additional output. The firm has tax loss carryforwards that render its tax rate zero, its cost of equity is 13%, and it uses no debt.
What is the incremental profit? Enter your answer in dollars. For example, an answer of $4 million should be entered as 4,000,000, not 4. Round your answer to the nearest dollar.
$
To get a rough idea of the project's profitability, what is the project's expected rate of return for the next year (defined as the incremental profit divided by the investment)? Round your answer to two decimal places.
%
Should the firm make the investment?
-Select-
Would the firm's break-even point increase or decrease if it made the change?
The change would
-Select-
the break-even point.
Would the new situation expose the firm to more or less business risk than the old one?
I. The new situation would obviously have more business risk than the old one.
II. The new situation would obviously have less business risk than the old one.
III. It is impossible to state unequivocally whether the new situation would have more or less business risk than the old one.
-Select-
The incremental profit is $175,000 and the new situation would obviously have less business risk than the old one.
Incremental profitFirst step
Profit $600,000
Add Fixed cost $3,000,000
Contribution $3,600,000
Variable Cost=Total Sales−Contribution
Variable Cost=$115,000×50-$3,600,000
Variable Cost=$2,150,000
Second step
Profit at revised cost
Sales $8,625,000
(75x $115,000)
Less: Variable cost $4,350,000
[75×($3,000,000+$500,000/50-$12,000)]
Contribution $4,275,000
Less Fixed cost $3,500,000
($3,000,000+$500,000)
Profit $775,000
Incremental profit=Profit at revised cost-Existing profit
Incremental profit=$775,000-$600,000
Incremental profit=$175,000
Expected rate of return=Incremental profit/Investment
Expected rate of return=$175,000/$4,000,000×100
Expected rate of return=$4.375%
2. Break-even point
Existing
Break-even point=Fixed cost/Contribution
Break-even point=$3,000,000/[($115,000-($3,000,000+$500,000/50)]
Break-even point=$3,000,000/[($115,000-$70,000)
Break-even point= 66.67
Revised
Break-even point=Fixed cost/Contribution
Break-even point=$3,500,000/[($110,000-($3,000,000/50)]
Break-even point=$3,000,000/[($110,000-$60,000)
Break-even point=60
II. The new situation would obviously have less business risk than the old one.
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2y + 5 =
solve for the correct answer
let the value of y be 2
Now,
2y+5
2x2+5
4+5
9
Hence,proved
New topic please help
Answer:
2262.9cm squared
Step-by-step explanation:
That's all I could do.Hope it helps.
What is the solution, if any, to the inequality |3x|≥0?
all real numbers
A.all real numbers
B.no solution
C.x20
D.x≤0
The inequality is all real numbers.
What is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Given:
|3x|≥0
3x = 0
Divide both sides of the equation by the coefficient of variable
x= 0/3
x=0 = RHS
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Isn't the series here divergent? doesn't that mean it cannot be represented as a riemann sum
No issues with convergence here. If you actually expand the summand you can use the well-known Faulhaber formulas to compute the sum.
[tex]\displaystyle \sum_{i=1}^n 1 = n[/tex]
[tex]\displaystyle \sum_{i=1}^n i = \frac{n(n+1)}2[/tex]
[tex]\displaystyle \sum_{i=1}^n i^2 = \frac{n(n+1)(2n+1)}6[/tex]
[tex]\displaystyle \sum_{i=1}^n i^3 = \frac{n^2(n+1)^2}4[/tex]
and so on. You would end up with
[tex]\displaystyle L_n = \frac2n \times \frac{96-8796n^2+40283n^3-49458n^4}{n^3}[/tex]
As [tex]n\to\infty[/tex], we have [tex]L_n\to-98916[/tex].
Now, when [tex]i=1[/tex], the first term of the sum is
[tex]7(5+0)^3 - 6(5+0)^5[/tex]
so the left endpoint of the first subinterval is [tex]a=5[/tex].
At the other end, when [tex]i=n[/tex], the last term of the sum is
[tex]7\left(5+\dfrac{2(n-1)}n\right)^3 - 6\left(5+\dfrac{2(n-1)}n\right)^5[/tex]
which converges to
[tex]7(5+2)^3 - 6(5+2)^5[/tex]
so the left endpoint of the last subinterval converges to [tex]b=5 + 2 = 7[/tex].
From here it's quite clear that [tex]f(x)=7x^3-6x^5[/tex]. So, the Riemann sum converges to the definite integral
[tex]\boxed{\displaystyle \int_5^7 (7x^3 - 6x^5) \, dx}[/tex]
her the
Use the figure for exercises 13-14. Rewrite each sum using a single angle.
13. mLLMN + mLNMP
14. mLNMP
mLOMP
Given that x = 3 + y and that -2y + 3 < -1, provide
reasons for each step in the following solution for x.
STATEMENTS
15. x = 3 + y and -2y + 3 < -1
16. x > y
17. -2y<-4
18. y> 2
19. x > 2
15.
16.
17.
18.
19.
REASONS
M
Answer:
13. m∠MN + m∠NMP = m∠MP.
14. m∠NMP - m∠OMP = m∠NMO.
~
15. x = 3 + y and -2y + 3 < -1 : Given
16. x > y : x = 3 + y
17. -2y < -4 : -2y < -4
18. y > 2 : y > 2
19. x > 2 : x = 3 + y and y > 2
------------------------------------------
Really need help on this one!!
Predict what will happen to the coordinates of a point (x, y) as the point translates to produce point (x′, y′). Assume that the point translates a units to the left or right and b units up or down. Express your answers in terms of x, y, a, and b. Be sure to watch your signs.
Answer:
(x' , y') = ( (x ± 1) , (y ± b) )
Step-by-step explanation:
(object vector) = (x', y')
(translation vector) = ( ±1 , ±b ) ==> Since horizontal movement (x) is right/ or left meaning ±1 , and vertical movement(y) is up or down meaning ±b
Notice that : (image vector) = (object vector) + (translation vector)
therefore (x' , y') = ( (x ± 1) , (y ± b) )
21. Find the measure of angle A.
40
20
80
160
160°
Answer:
m<A = 20°
Step-by-step explanation:
360 160 = 200
m<A = (1/2)(200° - 160°)
m<A = 20°
Bag A contains 7 blue discs, 4 red discs and 1 yellow disc.
Bag B contains 3 blue discs and 6 red discs.
A disc is drawn at random from Bag A and placed in Bag B.
A disc is then drawn at random from Bag B.
Find the probability that the disc drawn from Bag B is red.
Answer:
75% or 65%
Step-by-step explanation: that's what I did at lest
If $200 is put in the bank and each year the account earns 5% simple interest,
then how much interest will be earned in two years?
$10
$20
$30
$100
Work Shown:
i = P*r*t
i = 200*0.05*2
i = 20
A quick mental shortcut is to double the 5% interest to get 10%, since this occurs over 2 years. Then taking 10% of something is the same as moving the decimal point one spot to the left. So we go from 200 to 20
40. Noor is packing chocolates into boxes. The boxes come in small, medium and large sizes. A large box holds twice as many chocolates as a medium box and three times as many chocolates as a small box. Noor fills three times as many small boxes as medium boxes and twice as many medium boxes as large boxes. Altogether she packs 1296 chocolates. In total, how many chocolates does she pack into the small boxes.
The number of chocolate which goes into the small boxes is 100 chocolate
EquationChocolate in small boxes = xChocolate in medium boxes = 3xChocolate in large boxes = 3x + 2(3x)= 3x + 6x
= 9x
Total chocolate = 1296x + 3x + 9x = 1296
13x = 1296
x = 1296/13
x = 99.6923076923076
Approximately,
x = 100 boxes
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The number of column inches of classified advertisements appearing on Mondays in a certain daily newspaper is normally distributed with population mean of 320 and population standard deviation of 20 inches.
For a randomly chosen Monday, what is the probability there will be less than 340 column inches of classified advertisement?
For a randomly chosen Monday, the probability there will be less than 340 column inches of classified advertisement is 0.8413.
What is Normal Distribution?The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.
The number of column inches of classified advertisements appearing on Mondays in a certain daily newspaper is normally distributed with a population mean of 320 and a population standard deviation of 20 inches.
[tex]P(X < 340) = P(z < \dfrac{(340-320)}{20})[/tex]
= P(z < 1)
= 0.8413
Hence, For a randomly chosen Monday, the probability there will be less than 340 column inches of classified advertisement is 0.8413.
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Simplify
b^10/b^2
OA. b^-8
OB. b^5
O c. b^-5
O D. b^8
Step-by-step explanation:
The answer is D)
b^10/b^2
= b^10-b^2 = b^8
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thanks:-):-)
Which the most accurate statement about progress monitoring?
a. Progress monitoring is a useful way to ensure children are participating in targeted, purposeful, and meaningful math instruction and allows for the teacher to identify the skills children may need additional support in.
b. Incorporating children's individual differences into lesson planning is not necessary since the curriculum includes all the skills children need to learn in the order they need to learn them.
c. Progress monitoring is about administering formal assessments at the beginning and end of the year.
Answer:
progress monitoring is used to access students academic and social emotional behaviour as EB progress examine rate of improvement and evaluate effectiveness of introduction are invention it is typical use with both individual students and small groups
Which graph represents the relationship?
In the following questions, look at different ways to represent the relation given by the
equation y = x2 - 1.
The table below shows some values for the given equation. Find the values of a and b.
a =
b =
A 2-column table with 4 rows. The first column is labeled x with entries negative 2, negative 1, b, 1. The second column is labeled y with entries a, 0, negative 1, 0.
From the values in the table, we can say that the first graph is the correct one that shows some values for the given equation.
How to draw the graph of quadratic functions?We are given the quadratic equation as;
y = x² - 1
From the given table;
At x = -2, y = (-2)² - 1 = 3
At x = -1, y = 0
At x = 0, y = -1
At x = 1, y = 0
Now, from the values above, we can say that the first graph is the correct one that shows some values for the given equation.
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A pizza place has pizzas in 2 different sizes, with 8 different flavors for the crust, and 8 different toppings.
How many one-topping pizzas can be ordered?
Use multiplication:
[tex]2\text{ sizes}*8\text{ flavors}*8\text{ toppings}=\large\boxed{128\text{ pizzas}}[/tex]
This question is basically the same as the other question of yours that I answered, so the explanation is very similar:
You can imagine the possibilities as leaves on a tree. Your tree has 2 large branches to represent the two possible sizes. Each of those branch off into 8 smaller branches, each representing a crust flavor. Each one of the smaller branches has 8 leaves to represent a different topping. Each leaf is a combination of a size, a crust flavor, and a topping, so it represents a complete pizza. Your job is to calculate the number of leaves.
1. What are opposites?
a) Give an example of opposites.
b) Describe a real world situation using opposites.
please make it simple
Answer:A person or thing that is different from other people or things.
Like me and you we might like different things like I like playing games you dont your the opposite of me.
A real world situation would be looking at maybe plants see how different they look or if they look the same study them and realize one is poison the other is fresh.
Step-by-step explanation:
line segment SU is a diameter at Circle V what is the measure of arc ST?
The measure of ST based on the diagram regarding the circle is 56°.
How to calculate the value?Fron the information given, angle S is equal to 34°. Also, the triangle is inscribed in a circle.
Therefore, the measure of the angle will be:
= 180 - 90 - 34
= 56°
Therefore, the measure of angle ST is 56°.
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Part B: In complete sentences, explain how a circle can be used to find the circumcenter of the triangle graphed below.
Part C: Use a circle to locate the circumcenter of the triangle. Provide the location of the circumcenter.
Answer:
Step-by-step explanation:
Part B:
The center of the circumscribed circle around a triangle is equidistant from vertices of that triangle. To find the circumcenter need to draw at least two perpendicular bisectors to the sides of the given triangle. Point of intersect of them is center of the circumscribed circle.
Part C:
Coordinates of the midpoint of line BC ( y = - 1 ) are
( [tex]\frac{-6+2}{2}[/tex] , [tex]\frac{-1-1}{2}[/tex] ) = ( - 2 , - 1 ) and the equation of the line ⊥ to BC is x = - 2
Because BC is ║ to x-axis and m∠A is 90° , the center of the circle is midpoint of BC and r = [tex]\frac{BC}{2}[/tex] = 4