A jeans maker is designing a new line of jeans. These jeans will sell for $410 per unit and cost $328 per unit in variable costs to make. Fixed costs total $120,000. If 5,000 units are produced and sold, income equals:

Answer:

(x,y)=(0,4)

Step-by-step explanation:

write as systems as equations, multiply both sides of the equation by -1, sum the equations vertically to eliminate at least one variable, divide both sides of the equation by -19, substitute the given value of x into the equation 5x+y=4, The possible solution of the system is the ordered pairs (x,y) =(0,4), then you're done. whew. ;)

Answer:

Q-22 (a) area of each face (square) = sxs

= 10 x 10

= 100 inches²

Total surface area = 6a²

= 6 x 10 x 10

= 600 inches²

Answer:

d) 1/12

Step-by-step explanation:

Answer:

B. 60 cm²

Step-by-step explanation:

The formula for the area of a trapezoid is: \(\frac{1}{2}(b_{1} + b_{2} )h\)

Plugging in the given values, we can solve:

\(\frac{1}{2} (13+7)(6)\\\\\frac{1}{2}(20)(6)\\\\10(6)\\\\= 60\)

hope this helps!

Answer:

the answer is A. because a 1/2 inch is 2 feet there is about 2 and 1/2 of an inch so if you add that, that will be 9 feet

Step-by-step explanation:

Answer:

No Solution

Step-by-step explanation:

Keep in mind that if the grouping isn't right, then my result will be wrong:

-1/2x-(1/2x+4)+12=17x-6(3x+5/6)

Let me just change the formatting for convenience, and then begin the calculations:

\(-\frac{1}{2}x-\left(\frac{1}{2}x+4\right)+12=17x-6\left(3x+\frac{5}{6}\right)\:\)

\(-\frac{1}{2}x-\frac{1}{2}x-4+12=17x-18x-5\)

\(-2\cdot \frac{1}{2}x-4+12=17x-18x-5\)

\(-x-4+12=17x-18x-5\)

\(-x+8=17x-18x-5\)

\(-x+8=-x-5\)

\(-x=-x-13\)

\(0=-13\)

Result: No Solution

For every 1 orange in the fruit bowl there are three bananas.

According to the question,

We have the following information:

In the fruit bowl there are 12 bananas, 8 apples and 4 oranges.

Now, in order to find the number of bananas in this fruit bowl for 1 orange can be as written below:

4 oranges = 12 bananas

Now, to find the number of bananas for 1 orange, we will divide the total number of bananas by the number of oranges.

So, we have the following expression:

1 orange = 12/4 bananas

1 orange = 3 bananas

Hence, for every 1 orange in the fruit bowl there are three bananas.

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Brandon have a total of $32 originally

From the question, we have the following parameters that can be used in our computation:

When he spends $24, he has 3/4 of the original amount left

Using the above as a guide, we have the following:

24 = Original * 3/4

Make "Original" the subject of the formula

So, we have the following representation

Original = 24/(3/4)

Evaluate the expression

Original = 32

Hence, the amount is $32

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1. Number of athletes did not own any of the three items = 259 - 228

= 31.

2. Number of athletes own a convertible and a TV but not a store = 44 - 9

= 35.

3. Number of athletes own a convertible or a TV = 110 + 91 - 44

= 157.

4. Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

5. Number of athletes owned at least one type of item = 259 - 31

= 228

6. Number of athletes own a TV or a store, but not a convertible = 13 + 34 +71

= 118.

The number of athletes did not own any of the three items need to subtract the number of athletes who own at least one item from the total number of athletes surveyed.

Total number of athletes surveyed = 259

Number of athletes own at least one item = 110 + 91 + 120 - 15 - 43 - 44 + 9 = 228

Number of athletes who did not own any of the three items = 259 - 228 = 31.

The number of athletes who owned a convertible and a TV but not a store need to subtract the number of athletes who own all three items from the number of athletes who own a convertible and a TV.

Number of athletes who own a convertible and a TV = 44

Number of athletes who own all three items = 9

Number of athletes who own a convertible and a TV but not a store = 44 - 9 = 35

The number of athletes who owned a convertible, or a TV need to add the number of athletes who own a convertible to the number of athletes who own a TV and then subtract the number of athletes own both a convertible and a TV.

Number of athletes who own a convertible or a TV = 110 + 91 - 44

= 157.

The number of athletes owned exactly one type of item need to add up the number of athletes who own a convertible only the number of athletes own a TV only and the number of athletes who own a store only.

Number of athletes own a convertible only = 110 - 15 - 9 = 86

Number of athletes own a TV only = 91 - 44 - 9 = 38

Number of athletes own a store only = 120 - 15 - 43 - 9 = 53

Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

The number of athletes who owned at least one type of item can use the result from part (1).

Number of athletes who owned at least one type of item = 259 - 31

= 228

The number of athletes who owned a TV or a store but not a convertible need to subtract the number of athletes who own all three items, and the number of athletes own a convertible and a TV from the number of athletes own a TV or a store.

Number of athletes own a TV or a store = 91 + 120 - 43 - 9 = 159

Number of athletes own a TV or a store not a convertible = 13 + 34 +71

= 118.

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According to the Mean Value Theorem:

f(x) = x² - 6x + 8

f(0) = 0² - 6(0) + 8

f(0) = 8

f(8) = 8² - 6(8) + 8

f(8) = 64 - 48 + 8

f(8) = 24

f'(x) = 2x - 6

f'(c) = 2c - 6

If buffalo are fed 7/10 as much corn as the elephants, then they are fed with 7/20 barrels of corn each day.

How to solve word problems?

Recognize the issue, including all the terminology used to describe it. Recognize what we need to look for, Recognize the issue's context.

Convert the issue into an equation. Give the unknown a variable (or variables) to symbolize, Indicate exactly what the variable stands for.

Put the strategy into action and find a solution.

Given:

Elephants at the Norfolk zoo are fed = 1/2 of the barrel

Buffalo are fed 7/10 as much corn as the elephants = 7/10 * Elephants fed

= 7/10 * 1/2

= 7/20

Therefore, If buffalo are fed 7/10 as much corn as the elephants, then they are fed with 7/20 barrels of corn each day.

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Their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.

To determine the day of the week on which Kai and Finley's exam was scheduled, we need to consider the information provided about the trail being closed on Mondays, Wednesdays, and weekends.

If they had planned to hike to the log cabin for two days after the exams, and the trail is closed on weekends, it means they cannot start hiking on Saturday or Sunday.

Since they cannot start hiking on Saturday or Sunday, the two possible options for the exam day would be Monday or Wednesday, as they have not specified whether the hike starts immediately after the exams or the day after.

However, we can conclude that their exam was not scheduled on Monday, as the trail is closed on Mondays, and they had planned to hike immediately after the exams.

Therefore, their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.

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The different 2-member groups that are possible is 28

From the question, we have

Total number of members, n = 8

Numbers to selection, r = 2

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 8 and r = 2

Substitute the known values in the above equation

Total = ⁸C₂

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 8!/(6! * 2!)

Evaluate

Total = 28

Hence, the number of ways is 28

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The distance between the two ship based on the angle of depression is 42 meters.

The distance of each ship can be calculated thus:

TanX = opposite / Adjacent

The first ship:

Tan53 = distance/ 82

distance= 108.82 meters

The second ship:

Tan39 = distance/ 82

distance= 66.40 meters

The Difference between the ships are :

Therefore, the distance between the two ships is 42 meters.

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The value of a that makes u parallel to v is a = 4 and  the value of a that makes u perpendicular to v is -7.

a. For two vectors to be parallel, their direction ratios must be equal. In other words, their components must have the same ratio. For vectors u = (a, 7) and v = (4, 4), we have:

u1/u2 = a/7 = v1/v2 = 4/4

So the value of a that makes u parallel to v is a = 4.

b. For two nonzero vectors to be perpendicular, their dot product must be equal to zero. The dot product of u = (a, 7) and v = (4, 4) is given by:

u · v = a * 4 + 7 * 4 = 4a + 28

To make this equal to zero, we can solve for a:

4a + 28 = 0

4a = -28

a = -7

So the value of a that makes u perpendicular to v is -7.

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The sum of the even numbers between 77 and 535 is:

Now, the sum of the odd numbers between 78 and 536 is:

Thus, the sum of the even numbers between 77 and 535 is 306 less than the sum of the odd numbers between 78 and 536 because

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer:

The company charged $500 for its services,and Mia gives the movers a 16% tip. Now, we can add the tip amount to the cost of the service to find the total amount Mia paid: Total amount = Cost of service + Tip amount = $500 + $80 = $580

Step-by-step explanation:

Answer:

2 and 8

Step-by-step explanation:

Larger number = y

Smaller number = x

---------------------------------

y = 2x+4

y - x = 6 ->  y= x+6

---------------------------------------

x + 6 = 2x + 4

2 = x

y = x+ 6

y = 2 + 6

y = 8

Hope this makes sense!!!!

Answer:

150 stamps

Step-by-step explanation:

100% - 25% = 75%

\(\frac{y}{450} :\frac{25}{75}\)

y × 75 = 25 × 450

75y = 11250

75y ÷ 75 = 11250 ÷ 75

y = 150

The quartiles of the distribution are given as follows:

The sample size of the distribution is of:

n = 40.

The first quartile is the value that is greater than 25% of the distribution, hence it is the value at the position which is 25% of the sample size, hence:

The second quartile is the value that is greater than 50% of the  distribution, hence it is the value at the position which is 50% of the sample size, hence:

The third quartile is the value that is greater than 75% of the  distribution, hence it is the value at the position which is 75% of the sample size, hence:

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From the circle the value of angle x is 90 degrees

We have to find the value of x

The radius of the circle is 18.5

As we observe the figure the angle x is opposite to the 90 degrees

The angle x and angle 90 degrees are vertical angles

We know that the vertical angles are equal or same

∠x = 90 degrees

Hence, the value of angle x is 90 degrees from the circle

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The distance between town A and town B is 93.5 km.

Solving for  the distance between town A and town B:

Let's first convert the 42 minutes delay of the car to hours:

42 minutes = 42/60 hours

                    = 0.7 hours

Now, let's assume that the time it took for the car to travel from A to B is t hours.

The distance between A and B is the same for both the lorry and the car, so we can set up an equation:

Distance = Speed x Time

For the lorry:

Distance = 50t

For the car:

Distance = 80 (t-0.7)

We know that when the car arrived at B, the lorry had 25km left to cover. So:

50t - Distance covered by lorry = 25

50t - (50t - 25) = 25

Simplifying:

25 = 25

This equation is always true, which means our assumptions are correct.

Therefore, we can equate the two distance equations:

50t = 80(t-0.7)

50t = 80t - 56

30t = 56

t = 1.87 hours

Finally, we can use the distance equation with either the lorry or the car to find the distance between A and B:

Distance = Speed x Time

Distance = 50 x 1.87

Distance = 93.5 km

So the distance between town A and town B is 93.5 km.

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Answer:

The answer is below:

Step-by-step explanation:

Rewrite: y(y−10)+30=0 into

y^2-10y+30

Quadratic formula:

Hope this helps!

Answer:

2x² + x - 1

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

             = (x - 1) + 2x²

             = 2x² + x - 1

Answer:

The number (n) is 2.

Step-by-step explanation:

(n+3)*2=10

(2+3)*2=8

Answer:

2

coz u add the 2 to the 3 then times 2 equals 10

Answer:

\(0 \leq P( P_B) \leq 1\)

\(P(P_B) = 0.17\)

Step-by-step explanation:

From the given question:

The probabilities are assigned using the Subjective method.

Let the probability that his roommate will choose rock be  \(P(R_B) = 0.28\)

Let the probability that his roommate will choose scissors be \(P(S_B) = 0.55\)

∴

\(P(R_B) + P(S_B) +P(P_B) = 1\)

\(0.28+ 0.55 + P(P_B) =1\)

\(0.83 + P(P_B) = 1\)

\(P(P_B) = 1 - 0.83\)

\(P(P_B) = 1 -0.83\)

\(P(P_B) = 0.17\)

So;

\(0 \leq P( P_B) \leq 1\)

\(P(P_B) = 0.17\)

An equation which is true include the following: A. 4 × n × n × n × n = 4n⁴.

In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.

This ultimately implies that, an exponent is represented by the following mathematical expression;

bⁿ

Where:

By applying the multiplication law of exponents for powers to each of the expressions, we have the following:

4 × n × n × n × n = 4n⁴

4 × n⁴ = 4n⁴

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