three plus thee equals. what number

Thus, the archery set's discounted price is $61.10.

A reduction from the normal or list price. providing clients with a 10% discount. purchasing discounted tickets. (2): a proportionate reduction from an account of debt, typically provided in exchange for cash or quick payment.

The initial cost of the soccer jersey must be multiplied by (100% - 20%) = 80%, or 0.8, to determine the sale price after a 20% discount.

$85.75 x 0.8 = $68.60; Sale Price =Original Price multiplied by (1 - Discount)

Hence, the soccer jersey's retail price is $68.60.

We can apply the formula to get the tennis racket's original cost after just a 55% reduction and a $49.05 sale price:

Original Cost = Discounted Cost (1 - Discount)

Original Price = $49.05 / (1 - 55%) = $49.05 / 0.45 = $109.00

Hence, the tennis racket's original cost is $99.00.

The following formula can be used to determine the discount % for the archer set with just an original cost of $94.00 as well as a sale of $61.10:

Discount = (Original Price - Sale Price) / Original Price x 100%

Discount = ($94.00 - $61.10) / $94.00 x 100% = 35%

Hence, the archery set has a 35% discount.

The following equation can be used to determine the retail price of a archery kit with a 35% reduction and an original cost of $94.00:

Sale Price =Original Price multiplied by (1 - Discount)

Sale Price = $94.00 x (1 - 35%) = $61.10

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Answer:

74

Step-by-step explanation:

-6(-5-4) - 4(-3-2)

30 + 24 + 12 + 8

= 54 + 12 + 8

= 66 + 8

= 74

The loan's simple interest rate when the loan of $2,300 is taken will be 40.17%.

Let P be the principal, R be the rate of interest, and T be the time. Then the interest rate is given as,

The formula for interest is written as,

I = (PRT)/100

The value of the principal is $2,300 and the amount generated in six months is $2,762. Then the percentage rate is calculated as,

($2,762 - $2,300) = [$2,300 x r x (6/12)] / 100

46,200 = 1,150r

r = 40.17%

The loan's simple interest rate when the loan of $2,300 is taken will be 40.17%.

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Answer:

30 men

Step-by-step explanation:

7 men x 300 days = 2100 man-days  to build 1 house)

(2100 man-days/house) x (1 house/70 days) = 30 men

The total possible outcomes is 16, the probability that all children are males is 1/16, the probability of having all one gender is 1/8

1. The tree diagram for the sex of the children is as follows:

Child 1: M / F

Child 2: M / F

Child 3: M / F

Child 4: M / F

Possible Outcomes: MMMM, MMMF, MMFM, MFMF, FMFM, FMMF, FMFF, FFFF

There are 2 options for each child, so the total number of possible outcomes is 2 x 2 x 2 x 2 = 16.

2. The probability that all children are males is 1/2 x 1/2 x 1/2 x 1/2 = 1/16.

3. The probability of having all one gender of children is the sum of the probability of having all boys and the probability of having all girls. Each of these outcomes has a probability of 1/16, so the total probability is 1/16 + 1/16 = 1/8.

4. The easiest way to solve this problem is to find the probability of having no female children, and then subtract that from 1. The probability of having no female children is (1/2)^4 = 1/16, so the probability of having at least 2 female children is 1 - 1/16 - 1/16 = 7/8.

5. The tree diagram for flipping a coin, rolling a 6-sided die, flipping a coin, and rolling a 3-sided die is as follows:

C / H

/

1-6 1-3

\ /

H / T

The first branch represents the coin flip, the second branch represents the roll of the 6-sided die, the third branch represents the second coin flip, and the fourth branch represents the roll of the 3-sided die.

6. There are 2 options for the first coin flip, 6 options for the second branch, 2 options for the second coin flip, and 3 options for the fourth branch, so the total number of possible outcomes is 2 x 6 x 2 x 3 = 72.

7. The probability of getting only heads on both coin tosses is 1/2 x 1/2 = 1/4. Therefore, the probability of getting only heads on both coin tosses and any result on the dice is 1/4 x 1 = 1/4.

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The number of hours it would take to read the history chapters is  5 hours 25 minutes.

In order to determine how long it would take to read the assigned chapters in the history book, multiply the time it take to read the science article by 13.

Multiplication is the mathematical operation that is used to determine the product of two or more values. The sign that is used to represent multiplication is x.

Time it would take to read the history chapters = 25 x 13 = 325 minutes

325 / 60 = 5 hours 25 minutes

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The number of different ways will be 108000.

Permutations are various ways to arrange things in a specific order. It can also be stated as the linear reordering of items in an already ordered set.

A first guess for the number of ways to select a committee consisting of 3 engineers, 2 physicists, and 2 computer scientists from 10 engineers, 5 physicists, and 6 computer scientists could be to simply multiply the number of ways to select each group separately:

10 choose 3 x 5 choose 2 x 6 choose 2

This would give us the number of ways to select 3 engineers out of 10, 2 physicists out of 5, and 2 computer scientists out of 6.

The number of ways can be,

N = ¹⁰C₃ x ⁵C₂ x ⁶C₂

N = 10 x 9 x 8 x 5 x 6 x 5

N = 108000

Therefore, the number of different ways will be 108000.

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Answer:

Step-by-step explanation:

If Sara is making 3 batches of chocolate chip cookies using 2 1/4 cups of flour per batch, then the total amount of flour she uses for the chocolate chip cookies is:

3 batches x 2 1/4 cups per batch = 6 3/4 cups of flour

Since she will use 12 3/4 cups of flour for all six batches, the amount of flour used for the oatmeal cookies can be found by subtracting the amount of flour used for the chocolate chip cookies from the total amount of flour:

12 3/4 cups - 6 3/4 cups = 6 cups

To determine how many cups of flour are needed for each batch of oatmeal cookies, we can divide the total amount of flour used for the oatmeal cookies by the number of batches:

6 cups ÷ 3 batches = 2 cups per batch

Therefore, the equation that can be used to determine how many cups of flour are needed for each batch of oatmeal cookies is:

Flour needed per batch of oatmeal cookies = Total flour needed for oatmeal cookies ÷ Number of oatmeal cookie batches

Or, in this case:

Flour needed per batch of oatmeal cookies = 6 cups ÷ 3 batches = 2 cups per batch.

The correct statement regarding the inverse function is given as follows:

[tex]f^{-1}(x) = 3 - \sqrt{\frac{x - 4}{2}}[/tex], with a domain of x ≤ 3.

The function for this problem is defined as follows:

f(x) = 2(x - 3)² + 4.

The axis of symmetry of the function is of x = 3, hence the domain of the inverse function is given as follows:

x ≤ 3.

The inverse function is obtained exchanging x and y and then isolating y, hence:

x = 2(y - 3)² + 4

2(y - 3)² = x - 4.

[tex](y - 3)^2 = \frac{x - 4}{2}[/tex]

[tex]y - 3 = \sqrt{\frac{x - 4}{2}}[/tex]

[tex]f^{-1}(x) = 3 - \sqrt{\frac{x - 4}{2}}[/tex]

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The equation of the line passing through (3,4) whose slope is -1 will be y = - x + 7.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The slope of the line is -1. Then the equation is written as,

y = - 1x + c

The equation passes through (3, 4), then we have

4 = - 1(3) + c

4 = - 3 + c

c = 4 + 3

c = 7

The equation of the line passing through (3,4) whose slope is -1 will be y = - x + 7.

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Answer:

43 degrees

Step-by-step explanation:

85 degrees + 25 = 110 and the angle sum for a right triangle will always equal 180 degrees. The outside angle is 62 degrees, so 62 +70= 132. 180-132 is 48. Now you want to solve the angle sum for the shorter wider triangle. We know one angle is 89 degrees, plus the 48 degrees= 137. Now to find ? do 180-137=43. The missing angle for ? is 43 degrees.

I hope this helps :)

The value of x that makes the equation true is 2.25.

A mathematical model is an abstract, mathematically based description of a physical system. Mathematical modelling is the process of creating a mathematical model. Both applied mathematics and the natural sciences employ mathematical models. The area of operations research is largely concerned with using mathematical models to resolve issues in commercial or military operations.

Using the figure we see that, for the left model we have:

3 (-x) = -3x.

Also, we have 10(1) = 10

Thus the left model has the equation:

-3x + 10

For the right model we have:

5x - 8

Equate the two models:

-3x + 10 = 5x - 8

18 = 8x

x = 2.25

Hence, the value of x that makes the equation true is 2.25.

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Answer:

12 lbs of food per bag

Step-by-step explanation:

To distribute cat food equally into a certain number of bags, we can divide the amount of cat food by the number of bags to get how much food should go in each bag.

60 lbs of food ÷ 5 bags = 12 lbs of food per bag

Answer: We can start by using the formula for calculating commission:

Commission = Rate x Sales

where Rate is the commission rate and Sales is the amount of sales.

In this case, we know the commission earned ($4008) and the commission rate (6%), but we don't know the amount of sales. We can set up an equation and solve for Sales:

$4008 = 0.06 x Sales

Dividing both sides by 0.06, we get:

Sales = $4008 ÷ 0.06 = $66,800

Therefore, the salesperson sold $66,800 worth of video equipment.

Step-by-step explanation:

Answer:

onomatopoeia

Step-by-step explanation:

It took about 4.04 years for the number of students to reach 365.

The correct option is D.

The logarithm is the opposite of exponentiation. This shows that the logarithm of x to the base of b is the exponent to which b must be raised in order to reach the number x.

Given:

There were 240 students enrolled in Birchwood Elementary School during its first academic year.

The number of students grew significantly throughout the course of each of the ensuing ten years.

We may use logarithms to find n, the number of years.

By multiplying both sides of the equation by their logarithms, we obtain:

log(240(1.15)ⁿ) = log(365)

Using the rule of logarithms that says log(ab) = log(a) + log(b) and the fact that log(1.15) is a constant,

we can simplify the left side of the equation:

log(240) + nlog(1.15) = log(365)

Subtracting log(240) from both sides, we get:

nlog(1.15) = log(365) - log(240)

Using the rule of logarithms that says log(a/b) = log(a) - log(b), we can simplify the right side of the equation:

nlog(1.15) = log(365/240)

nlog(1.15) = log(1.52083)

Dividing both sides by log(1.15), we get:

n = log(1.52083) / log(1.15)

n ≈ 4.04

Therefore, n = 4 years.

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We get abοut 4 minutes if we rοund tο the clοsest minute. The sοlutiοn is thus A. 4 minutes οr sο.

A mathematical nοtiοn knοwn as prοpοrtiοnality describes the relatiοnship between twο quantities that cοnsistently change tοgether. When twο quantities are prοpοrtiοnal, their relatiοnship stays cοnsistent οver time. Tο put it anοther way, if twο variables, A and B, are prοpοrtiοnal, then the ratiο οf A tο B must be cοnstant and can be written as fοllοws:

A/B = k

where k is a ratiο cοnstant. This means that tο keep the ratiο cοnsistent, if οne οf the quantities is multiplied by a certain factοr, the οther quantity must alsο be multiplied by the same factοr.

given

dT/dt = -k (T - Ts)

where T is the οbject's temperature, Ts is the envirοnment's temperature, and k is a prοpοrtiοnality factοr. dT/dt stands fοr the rate οf change οf temperature.

In this instance, the rοοm is currently 70°F and the pοt οf water is οriginally 200°F. We thus have:

dT/dt = -k (200 - 70) = -k(130) (130)

The water's temperature has decreased tο 164°F after 5 minutes. Therefοre, we are aware that t = 5 at T = 164:

[tex]164 = 200e^{(-k*5)[/tex]

calculating k:

[tex]e^{(-5k)} = 164/200 = 0.82[/tex]

-5k = ln(0.82) (0.82)

k = -ln(0.82)/5

We can nοw calculate the time it takes fοr the water tο cοοl tο 150°F using this number οf k:

[tex]150 = 200e^{(-k*t)[/tex]

[tex]e^{(-k*t)}= 150/200 = 0.75-k*t = ln(0.75) (0.75)[/tex]

t = -ln(0.75)/k

By changing the amοunt οf k, we οbtain:

t = -ln(0.75)/(-ln(0.82)/5) ≈ 3.8

We get abοut 4 minutes if we rοund tο the clοsest minute. The sοlutiοn is thus A. 4 minutes οr sο.

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The function g(x) is translation of f(x) 9 units up. The solution has been obtained by using transformation.

An operation known as a transformation involves moving a polygon or other two-dimensional object on a plane or coordinate system.

We are given that the function g(x) is a translation of the function

f(x) = x².

In the graph, we can see that the vertex of the parabola is at (0, 9).

This means that the function g(x) is 9 units up from the function f(x).

So, g(x) = x² + 9

Hence, the function g(x) is translation of f(x) 9 units up.

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Answer: If a movie starts at 2:45 PM and has a duration of 2 hours and 10 minutes, what time does it end?

To solve this, we need to add the duration of the movie to the start time and convert it back to the 12-hour clock format.

Adding 2 hours and 10 minutes to 2:45 PM, we get:

2:45 PM + 2 hours + 10 minutes = 4:55 PM

So, the movie ends at 4:55 PM.

Step-by-step explanation:

As a result, the total quilt's area is 512/9 square inches.

Square offers businesses a range of goods and services to help them complete sales deals, use marketing strategies, and control their finances, inventory, and workforce.

The quilt has an 8 x 8 array of square patches, which means it has a total of 8 x 8 = 64 square patches. Each square patch is 2 2/3 inches long.

To find the area of the whole quilt, we need to find the total area covered by all 64 square patches. We can do this by multiplying the length and width of one square patch by the total number of patches:

Area of one square patch = length x width = (2 2/3 in) x (2 2/3 in) = (8/3 in) x (8/3 in) = 64/9 sq in

Total area of all 64 square patches = (64 patches) x (64/9 sq in per patch) = 512/9 sq in

Therefore, the area of the whole quilt is 512/9 square inches.

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The transformation below would map the polygon A to the polygon B is

Polygon A have translated to the right and reflected vertically.

A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.

We have two polygon as A and B.

As, 90° clockwise rotation: (x, y) becomes (y,-x) 90° counterclockwise rotation: (x, y) becomes (-y, x).

But there is no change in the coordinate as such rule so rotation is not possible.

As we can see the figure Polygon A have translated to the right and reflected vertically.

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Answer: Polygon A has been reflected horizontally and reflected vertically

Step-by-step explanation: I took the quiz and it was the right answer

According to the ratio , the three girls shares are R2000,R3000 and R7000.

What is ratio?

When two numbers are compared, the ratio between them shows how often the first number contains the second. As an illustration, the ratio of oranges to lemons in a dish of fruit is 8:6 if there are 8 oranges and 6 lemons present.

Here the given total share amount is R12000.

Now the ratio for three girls is 2:3:7.

Total = 2+3+7=12

Now the share amounts are,

=> [tex]\frac{2}{12}\times 12000[/tex] = [tex]2\times1000=R2000.\\[/tex]

=> [tex]\frac{3}{12}\times=3\times1000=R3000[/tex]

=> [tex]\frac{7}{12}\times12000=7\times1000=R7000[/tex]

Hence the three girls shares are R2000,R3000 and R7000.

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The line goes through the point and has a slope of 4, a y-intercept of -6, and a slope of 4. (0, 6).

The proportion of the increase in the y-value to the change inside the x-value may also be used to determine slope. For instance: We can get the slope of a line given two locations, P = (0, -1) and Q := (4,1) on the line.

A line's slope is how steeply it slopes form LEFT to RIGHT. Divide the rise, or vertically increase, by the run, or horizontally start changing, to get the line's gradient.

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The complete question is:

X in graphs the equation y = 4x - 6.

Select all statements about Xin's graph that are true.

a. The graph is a curved line.

b. The line passes through the origin.

c. The line passes through the point (0, 6).

d. The slope of the line is 4.

e. The y-intercept of the line is -6.

The value of the sides are;

x = 6

HW = 37

AM = 32

WM = 44

It is important to note that one of the properties of an isosceles trapezoid is that the non-parallel sides are equal to each other.

From this deduction, we then have;

HW = AM

Given that;

HW = 6x + 1

AM = 3x + 19

Equate the lengths

6x + 1 = 3x + 19

collect the like terms

6x - 3x = 19 - 1

3x = 18

Make 'x' subject

x = 6

Then, HW = 37 and AM = 37

Substitute the value of x in

HA = 6x - 4 = 32

WM = 4x + 20 = 44

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Answer:

x = -4/3

Step-by-step explanation:

hope this helps^^

Answer:

15£

Step-by-step explanation:

if 1£=2$

then30$=30/2

15£