forty-two thousand, six hundred eighty-three times seven equals blank
296,702
296,576
298,781
299,852

The height of a tree whose shadow is 20m shorter when the angle of elevation of the sun is 60 is 17.3 meters.

The elevation is the distance above sea level. They are usually measured in meters or feet.

Let t be the height of the tree, then the length of the shadow will be:

Shadow length = t/tan(α)

where α is the angle of elevation. The difference in shadow lengths is:

20 m = t/tan(30°) -t/tan(60°) = t(√3 -1/√3)

= (20 m)/(2/√3) = 10√3 m

= 17.3 m

The height is 17.3 meters.

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The mattress has a total cost of  $24.28

From the question, the given parameters are:

Cost of a mattress = $74.95

Markdown = 70%

Sales tax in oak grove = 8%

Using the sales tax and the markdown, the total cost for the mattress is calculated using

Total cost of mattress = Cost of a mattress * (1 + Sales tax) * (1 - Markdown )

Substitute the known values in the above equation

So, we have the following equation

Total cost of mattress = 74.95 * (1 + 8%) * (1 - 70%)

Evaluate the products

Total cost of mattress = 24.28

Hence, the total cost of the mattress is $24.28

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We have the next formula to calculate the volume of the cylinder

where

r is the radius

h is the height

in our problem

r=3in

h=9in

we substitute the values

the volume round to the nearest tenth is V=254.5 in ^3

Answer:

In triangle ABC, ACB = 67°, AB= 6.9 cm and BC = 5.7 cm.

Step-by-step explanation:

If x represents a positive integer and x<7, then the values of x = {1,2,3,4,5,6}

The x represents a positive integers

Positive integers are the integers greater than 0. In number line the positive number will be at the right side of the 0. The negative integers are the integers less than 0. In number line the negative number will be at the left side of the 0.

The given inequality is

x<7

The inequality is the mathematical expression represents the relation between the two values that is not equal

Here x is less than 7 and a positive integer

Therefore,

x = {1, 2, 3, 4, 5, 6}

Hence, if x represents a positive integer and x<7, then the values of x = {1,2,3,4,5,6}

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Answer:

there is an open circle at 58

the arrow points right

Step-by-step explanation:

3x>174/:3

x>58 we have a strict x more than 58 that's why it's an open circle and right because x is more, but not less

Answer:

A

Step-by-step explanation:

Because it's has no straight to it

Answer:

61500

Step-by-step explanation:

1/3 = 3/15

2/5 = 6/15

1 - 3/15 - 6/15 = 6/15

6/15 = 24600

24600 ÷ 6 × 15 = 61500

Answer:

92250

Step-by-step explanation:

Forming algebraic equation and solving:

Let the income  = x

Amount spent on housing = (1/3) of the income

                                             [tex]\sf = \dfrac{1}{3}x[/tex]

Amount spent of daily expenditure = (2/5) of the income

                                                          [tex]\sf =\dfrac{2}{5}x[/tex]

Income = Savings + housing expenditure + daily expenditure  

Income - housing expenditure - daily expenditure = savings

[tex]\sf x - \dfrac{1}{3}x-\dfrac{2}{5}x=24600\\\\\\\dfrac{x*15}{1*15}-\dfrac{1*5}{3*5}x-\dfrac{2*3}{5*3}x = 24600\\\\\\[/tex]

            [tex]\sf \dfrac{15}{15}x-\dfrac{5}{15}x-\dfrac{6}{15}x = 24600\\\\\\\dfrac{(15 -5 - 6)}{15}x = 24600[/tex]

              [tex]\sf \dfrac{4}{15}x = 24600[/tex]

                 [tex]\sf x = 24600 *\dfrac{15}{4}\\\\ x = 6150*15[/tex]

Income = 92250

Answer:

22270 pieces of paper

Step-by-step explanation:

White:  12370   [12,370 pieces of white paper]

Blue:     6700   (12370-5670).  [5,670 fewer pieces of blue paper than white paper]

Yellow: 3200     (6700-3200).  [3,500 fewer pieces of yellow paper than blue paper]

The sum is 22270 pieces of paper.

Answer:

  16,400 ft

Step-by-step explanation:

You want to know the number of feet in a 5 km race, rounded to the nearest hundred. You are given conversion factors 5280 ft = 1 mi = 1.61 km.

Unit conversion can be done by multiplying by a conversion factor whose numerator is equal to its denominator, and that cancels unwanted units, replacing them with units you want.

  [tex]5\text{ km}=5\text{ km}\times\dfrac{5280\text{ ft}}{1.61\text{ km}}\approx16397.5\text{ ft}\approx\boxed{16,\!400\text{ ft}}[/tex]

__

Additional comment

Both of the given conversions are equal to 1 mile, so their ratio is 1. We put feet on top of the fraction, because that is the unit we want. The km value is in the denominator so the km units in numerator and denominator cancel.

The conversion for km is 1 mi = 1.609344 km (exactly). The actual conversion to ft will give 16,404 76/381 ft. This has a very long repeating decimal fraction.

the value of y for x values(-2,0,2,4) are {11, 3, -5, -13}

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

You want the value of y for various values of x, given that y = -4x +3.

Function evaluating

Put the value of x where x is in the function rule and do the arithmetic.

 y = -4x +3

for x = -2

y = (-4)(-2) +3 = 8 +3 = 11

for x = 0

y = (-4)(0) +3 = 0 +3 = 3

for x = 2

y = (-4)(2) +3 = -8 +3 = -5

for x = 4

y = (-4)(4) +3 = -16 +3 = -13

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Answer: C : y = 3/2 - 4

Step-by-step explanation:

Find the Slope (Slope Formula)

(4,2) (6,5)

m = (5-2)/(6-4)

m = 3/2

Find "b"

y = mx + b (Slope intercept form)

2 = 3/2(4) + b

2 = 6 + b

-4 = b

The average frequency of people hearing the spot on the radio station is equal to 5.

Average frequency can be defined as the average number of times an individual is exposed to an Advertising schedule.

Average frequency can be calculated by using the formula;

average frequency = total / n

As 4000 people heard the spot 6 times and 2000 people heard it three times; therefore

n = 4000 + 2000 = 6000

total = number × frequency = (6 × 4000) + (3 × 2000) = 24000 + 6000 = 30,000

Substituting these values in the equation;

average frequency = 30,000 / 6000

average frequency = 5

Hence the average frequency of people hearing the spot on the radio station wkoi is calculated to be 5.

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The best possible ways to compare least crowded place are options A and D

Given that,

Antonio is comparing the crowdedness at three different sports events. Our aim to find the least crowded sporting event. Here we use square meter as measurement for population. So it is pretty obvious that a place is less crowded when people in that region are less in number. So the option A is correct which is less people per square meter. Similarly, option D is also correct because if a person have more square meters then it is clear that the region is less populated .

Therefore, the options A and D are the go-to ways to compare the least crowdedness in the sporting events.

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Answer:

The things that you need to pick are option A and option D. Trust me on this, I did the exact same question and I got is correct. Also please please please pick me as Brainliest... or y'know don't... and then feel bad.

Answer:

I think it's because the triangle sides are isometrics so that's why the sides are equal

The value of the part of 20 that is 46% is 9.2.

Percentage is simply a number or ratio expressed as a fraction of 100.

It is expressed as;

Percentage = ( Part / Whole ) × 100%

Given the data in the question;

Plug the given values into the above formula and solve for the part.

Percentage = ( Part / Whole ) × 100%

46% = ( Part / 20) × 100%

46/100 = ( Part / 20 ) × 100/100

46/100 = ( Part / 20 ) × 1

46/100 = Part / 20

Cross multiply

46 × 20 = Part × 100

920 = Part × 100

Part = 920/100

Part = 9.2

Therefore, 9.2 is 46 percent of 20.

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Answer:

Equation: -5 <3× -8

+8. +8

3 <3x

_ _

3. 3

Answer: 1 = X

Step-by-step explanation:

Equation: -5 <3× -8

First Step: You must add 8 to -8 and move it to both sides. The reason why we do this is because on the left side we have 1 number and on the right side we have 2 numbers. We see that the right side has more numbers than the left, so we must move the -8 turning it to a positive 8 (8-8 cancels each other making 0) and adding the +8 in -8 to -5 as well, since we're adding to both sides.

Second Step: Since we added 8 to -5, it equals 3 now 8-5=3. Changing the equation to 3 <3x. Now we have to divide 3 to both sides as well, because we want the x to be by itself. So, 3 ÷ 3 = 1 and 3x ÷ 3 = x

Results: After our extraordinary calculations we recieve

the answer 1=x

If one of the daughters marries a non-bald man and they have a son, the chance that the son will become bald as an adult is 0%

If the couple has a daughter, the chance that she will become bald as an adult is 0%

In the question, we have been given that the neither the father nor the mother is bald, and out of the four children only one son is bald, but the other son and the two daughters are not bald, now we solve the following:

Part a

A chance that the son will become bald as an adult:

If the daughter has no bald gene (XX), and she marries a non bald man then there is 0% chance that the son will become bald as an adult because neither the mom nor the dad has the baldness gene

Part b

The chance that she will become bald as an adult:

If the daughter having a bald gene ([tex]X^{b} X[/tex]) marries a non bald (XY)man then also there is a 0% chance that the daughter will be bald as an adult. As the baldness is a recessive trait, for the daughter to be bald she needs to have two baldness gene( one from father and one from mother). And since this is not the case the daughter might have baldness gene but the phenotype will be non-bald.

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If I stated 2 * - 3    OR  -10/-5  then the factor/quotient and its sign is given by -6 and 2

What is a quotient in math?

The number that is being divided (in this case, 15) is called the dividend, and the number that it is being divided by (in this case, 3) is called the divisor. The result of the division is the quotient

What is quotient formula?

The quotient formula is given as follows: Dividend ÷ Divisor = Quotient (if the remainder is zero) The general formula for any division problem is given by: Dividend ÷ Divisor = Quotient + Remainder.

2 * -3 = -6  or -10/-5= 2

Thus the quotient is -6 and 2

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Considering the area of the rectangular lot, the width of the walkway is of 3.9 feet.

Considering a rectangle of length l and width w, we have that the area and the perimeter are given as follows:

In the context of this problem, for the garden and the walkway, the dimensions are given as follows:

Considering that the area is of 238 square feet, we can solve for the width of the walkway as follows:

15(12 + w) = 238

12 + w = 238/15

12 + w = 15.9.

w = 15.9 - 12

w = 3.9 feet, which is the width of the walkway.

Since the area is in square feet, the length and the width are in feet.

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Answer:n= -129/t

im not sure  if thats the answer ur looking for

Answer: A) the number of CDs Ahmed has.

Step-by-step explanation:

Answer:

2:4 ratio (1:2)

2cups carrot + 4cups apple = 6cups (ratio 1:2)

Therefore 4cups carrot + 8 cups apple = 12 cups (ratio 1:2)

Hope that helps

If the customer keeps the higher of the two prizes awarded, the probability the customer will receive at least $100 is 0.10

The probability that the customer will receive at least $100, P(X>100) is obtained below:

The probability that the customer will receive at least $100 is obtained by adding the corresponding probabilities of X=100 and, X=1000

Given from the table of probabilities, P(X=100)=0.08, and P(X=1,000)

P[X>100]=P(X=100)+P(X=1,000)

              =0.08+0.02

               =0.10                                  

​      

The question is incomplete, the complete question is given below:

A real estate developer is awarding one of four prizes to customers who view new properties. The prizes are awarded randomly through drawings. Prize values and their associated probabilities follow:

PRIZE VALUE   PROBABLITY

$10                          0.80

$20                          0.10

$100                  0.08

$1000                  0.02

one customer has two chances to receive a prize. if the customer keeps the higher of the two prizes awarded, what is the probability the customer will receive at least $100?

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The person must score 136 to be in the top 5% of all scores in wechsler adult intelligence scale.

The formula for the normal distribution is;

z = (x - μ)/σ

where,

If we want to be in the top 5%, we must outperform 95% of the remaining scores. So we must investigate.

In with us standard normal probability table, look up 0.95 and get the Z score that corresponds to that.

z = 1.7

Put the value in formula ad find x.

1. 7 = (x - 110)/15

x = 25.5 + 110

x = 135.5

x = 136 (whole number)

Thus, the person must score 136 to be in the top 5% of all scores in wechsler adult intelligence scale.

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Give to each part of the fraction a variable (a letter)

Numerator: n

Denominator: d

the denominator of a fraction is two more than the numerator:

both numerator and denominator are increased by ten, the simplified is 9/10:

Use the equation above to find the value of n:

As n is equal to 8 find the value of d:

The original fraction is:

yes, it is the same than 3:2. And we can not simplify it more

Answer:

D

Step-by-step explanation:

2d + 8y = 20

y = 2

substitute y = 2 into the other equation

2d + 8(2) = 20

2d + 16 = 20 ( subtract 16 from both sides )

2d = 4 ( divide both sides by 2 )

d = 2

solution is (2, 2 )

answer-> D. (2,2)

Given,

2d + 8y = 20  .............................................(Equation i)

y = 2 .............................................................(Equation ii)

substituting y = 2 in equation i, we get

2d + 8(2) = 20

2d + 16 = 20

2d = 20 - 16

2d = 4

d = 2

Hence the correct answer would be option D. (2,2)

We have used the substitution method to solve the given system of linear equations.

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Answer:

width < 13

Step-by-step explanation:

let width of the rectangle = x

length = 8 + 2x

according to the question,

8+2x < 34

2x < 34-8

2x < 26

x < 13

The value of the greater integer will be 10.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

The algebraic expression is,

'' An integer is subtracted from 8 times the next consecutive integer, the difference is 71.''

Now,

Let a number = x

Then, Its consecutive number = (x + 1)

So, We can formulate;

⇒ 8 (x + 1) - x = 71

Solve for x as;

⇒ 8x + 8 - x = 71

⇒ 7x + 8 = 71

⇒ 7x = 71 - 8

⇒ 7x = 63

⇒ x = 9

Thus, The value of greater number = x + 1

                                                      = 9 + 1

                                                       = 10

Therefore, The value of the greater integer will be 10.

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