A wise man once said, "300 reduced by 3 times my age is 84." What is his age?

To find the volume of the given prism, first, we have to transform each mixed number into a fraction

Then, we multiply the dimensions to find the volume

But, we know that 1 foot is equivalent to 30.48 centimeters, so let's transform it

Answer:

Step-by-step explanation:

70+59+55+25+30+17=276

The probability that the person selected at random doesn't use any facility is 0.25

The probability of an event can be mathematically said to be the number of required outcome divided by the number of possible outcomes.

From the question:

Total number of people who used at least any of the three facilities=26+21+14+11+19+24+6=121

The number of persons that doesn't use any of the facility=125-121=4

Hence, the number of possible outcomes=4 and the probability that the person selected at random doesn't use any facility is 1/4 or 0.25

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When Thelma earns a 6% commission based on the negotiated sale price, the amount earned is $9180.

From the information, Thelma is a real estate agent negotiating the sale of a property with a listed price of $180,000. The buyer and seller of the property have agreed to a sale price that is 15% lower than the listed price.

The sales price will be:

= $180000 - (15% × $180000)

= $180000 - $27000

= $153000

Sine she earns 6% commission, this will be:

= Percentage × Sale price

= 6% × $153000

= 0.06 × $153000

= $9180

The commission is $9180.

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we have the vector

u=-8i+5j

see the attached figure to better understand the problem

tan(x)=5/8

x=tan^-1(5/8)

x=32 degrees

Find out the angle theta

148 degrees

the answer is 148 degrees

Answer:

Step-by-step explanation:

The formula is :

(y - y1) = m(x - x1)

the given values are x1 = 19, y1 = -12 and m = slope = -3

putting values

(y + 12)= -3(x-19)

y + 12 = -3x +57

y+ 3x - 35 = 0

This is the required equation.

Hello!

Let's solve:

               [tex]\hookrightarrow \text{In other words: } x + 59+ 84 + x + 51=180[/tex]

              [tex]x + 59 + 84 + x + 51= 180\\2x + 194=180\\2x = -14\\x = -7[/tex]

              m∠A = x + 51 = -7 + 51 = 44

Answer: 44

Hope that helps!

Answer:

[tex]\frac{109}{20}[/tex]

Step-by-step explanation:

.45 mean [tex]\frac{45}{100}[/tex] so  5.45 means 5 [tex]\frac{45}{100}[/tex]  = [tex]\frac{9}{20}[/tex]  If I divide the top and bottom of [tex]\frac{45}{100}[/tex] by 9

5 [tex]\frac{9}{20}[/tex] is a mixed number.  I can make this an improper fraction by changing 5 to 1+1+1+1+1  Another name for 1 is any number over itself as a fraction.

I am going to write 1 as [tex]\frac{20}{20}[/tex]

5 can be written

[tex]\frac{20}{20}[/tex] + [tex]\frac{20}{20}[/tex] + [tex]\frac{20}{20}[/tex] + [tex]\frac{20}{20}[/tex] + [tex]\frac{20}{20}[/tex] = [tex]\frac{100}{20}[/tex]

5 [tex]\frac{9}{20}[/tex]  Can be written

[tex]\frac{100}{20}[/tex] + [tex]\frac{9}{20}[/tex] = [tex]\frac{109}{20}[/tex]

Answer:

(109/20) Is the answer.

The equation 5.5x - 2.1 = 3 + 5.5x has no solution. Then the number of the solution is zero.

The allocation of weights to the relevant variables that produce the calculation's equilibrium is referred to as a direct consequence.

Simplicity is the quality of making anything less complicated and more manageable in terms of both execution and comprehension.

The equation is given below.

5.5x - 2.1 = 3 + 5.5x

Subtract 5.5x on both sides, then simplify the equation.

5.5x - 5.5x - 2.1 = 3 + 5.5x - 5.5x

0x - 2.1 = 3

The equation 5.5x - 2.1 = 3 + 5.5x has no solution. Then the number of the solution is zero.

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Answer:

y = (-2/3)x + 4

Step-by-step explanation:

First of all, let's draw the net:

In which l= 3 units, h=2 units and w= 4 units.

The surface area will be:

SA= 2*h*w +2*l*w + 2*h*l

SA = 2*2*4 + 2*3*4 + 2*2*3

SA =16+24+12

SA= 52units²

The volume will be:

V=L*h*w

V= 3*2*4

V= 24 units³

Answer:

No, the cross products to not equal

Step-by-step explanation:

[tex]\frac{12}{8}[/tex] = [tex]\frac{2}{1}[/tex]

12(1) = 8(2)

12 [tex]\neq[/tex] 16

Or make them both into decimals

12/8 = 1.5

[tex]\frac{2}{1}[/tex] = 2  They do not equal each other.

Answer:

I do!

Decimal Form: f=−0.¯6,5

Step-by-step explanation:

If any individual factor on the left side of the equation is equal to 0 the entire expression will be equal to

0.3f+2=0f−5=0

Set

3f+2 equal to 0 and solve for f.

more steps...

f=−23

Set

f−5 equal to 0 and solve for f.

more steps...

f=5

The final solution is all the values that make

(3f+2)(f−5)=0

true.

f=−23,5

The result can be shown in multiple forms.

Exact Form :f=−23,5

HOPE IT HELPS :)

The True statements are: the graph is a straight line and the line does not pass through the origin. The y-intercept of the line is 2.

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

The equation is given as y = -1/2 x + 2

Then Formula of the linear equation ( in slope-intercept form ):

y = m x + b

m = -1/2,  b = 2

0 = - 1/2 ( 0 )+ 2

0 ≠ 2 ( it does not pass through the origin )

- 2 ≠ 2

Therefore, the True statements are:

The graph is a straight line.

The line does not pass through the origin.

The y-intercept of the line is 2.

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Answer:

(g o f)(8)

Step-by-step explanation:

First we find f(8).

f(8) = 8 - 1 or 7.

We now find g(f(8)), which means g(7).

g(7) = 7^3 or 343

The remaining amount of the substance with the half life of 64.9 days after 100 days is 2.749.

To calculate the amount that remains  after 100 days, this formular can be used

amount remaining = [tex]a (0.50)^{\frac{t}{h} }[/tex]

where t is the time that was required for the process to take place, where t is 100 days.

h is the halftime, which is been given as 64.9 days

where a is given as the initial amount that is present which is 8.

Then the values can be substituted to have

[tex]=a (0.50)^{\frac{100}{64.9} }[/tex]

= 2.749

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Answer:

X=11

Step-by-step explanation:

Answer:

x=18

Step-by-step explanation:

Because, [tex](8*18+14)=(9*18-4)[/tex] is true

Answer:

You need to show the image

Step-by-step explanation:

Answer: 3.45

Step-by-step explanation:

Answer:

x = [tex]\frac{16}{5} = 3\frac{1}{5} = 3.2[/tex]

Step-by-step explanation:

25.6 = 8x

Divide both sides by 8.

[tex]\frac{25.6}{8} = x\\[/tex]

Expand [tex]\frac{25.6}{8}[/tex] by multiplying both numerator and the denominator by 10.

[tex]\frac{256}{80} = x[/tex]

Reduce the fraction  [tex]\frac{256}{80\\}[/tex]  to lowest terms by extracting and canceling out 16.

[tex]\frac{16}{5} = x[/tex]

Swap sides so that all variable terms are on the left-hand side.

[tex]x = \frac{16}{5}[/tex]

If you answer is meant to be a fraction, then your correct answer is [tex]3\frac{1}{5}[/tex] and if you answer is meant to be a decimal then you correct answer is 3.2.

Hope I helped and have a good day. ~sunshine~ =D

Answer:

2$

Step-by-step explanation:

Answer:

$2

Step-by-step explanation:

trey's mom bought him a card for $20, if he already has $7 & will get $15 for his chores, add them together & thats $22. Once he pays off the $20 he will have $2 left.

Answer:

Your answer is 103.2413793103448

Step-by-step explanation:

[tex]29.94[/tex] ÷ [tex]29[/tex] [tex]= 1.032413793103448[/tex]

[tex]1.032413793103448[/tex] × [tex]100 = 103.2413793103448[/tex]

We are asked to determine the degree of the polynomial given its graph. To do that we can count the number of bumps in the graph. We notice that it has 4 bumps:

This type of behavior is usual of polynomials of degree 5.

Answer:

5

Step-by-step explanation:

let width be x

and because length is 11 times more than the width, therefore length equals to 11x

hence the equation equals to

area = length x width

60 = 11x + x

60 = 12x

x = 60/12

therefore, the width of the rectangle is 5

Answer:

C. order

Step-by-step explanation:

The associative property of addition allows you to change the of numbers without affecting the sum.

Answer: Grouping

Step-by-step explanation:

Changing the grouping of addends does not change the sum. For example, ( 2 + 3 ) + 4 = 2 + ( 3 + 4 ) (2 + 3) + 4 = 2 + (3 + 4) (2+3)+4=2+(3+4)left parenthesis, 2, plus, 3, right parenthesis, plus, 4, equals, 2, plus, left parenthesis, 3, plus, 4, right parenthesis.

Given that

Caleb predicted player would score 27 points.

But he scored 23 points.

so percentage error,

The amount that must be deposited to get a final amount of
$ 125,000 is $ 26.34 .

What is compound interest and how is it calculated?
The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest.
Mathematically, A = P (1 + (R/n))^t

Given, the amount that will be developed after interest is laid
= A = $125,00
Also, number of years for which amount is loaned = n = 16 years
Annual Percentage Rate of the loan availed = R = 7.3
Frequency with which interest is paid out per year = 1
Following the formula established in the literature, we have:
125000 = P(1 + 7.3)⁴ ⇒ P = 125000/(1 + 7.3)⁴ ⇒ P = 125000/8.3⁴ = 26.34
Therefore, the amount that must be deposited to get a final amount of
$ 125,000 is $ 26.34 .

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It should be noted that if you are operating in class e airspace at 9,500 feet MSL with a VFR-on-top clearance during the day, the required flight visibility and distance from clouds are listed as "3 statute miles 1,000 above 500 below and 2,000 horizontal."

The average forward horizontal distance of a flying aircraft from the cockpit at which prominent unlit objects can be seen and identified during the day and substantial lighted objects can be seen and identified during the night is known as flight visibility.

Visibility requirements exist the minimal visibility for flying.

According to Aviation Rules,

(a) According to aviation regulations, no person may operate an aircraft under visual flight rules (VFR) in restricted airspace when the ceiling is less than 1,000 feet unless flying vision is at least 2 miles.

b) No person shall work a helicopter under VFR at or below 1,200 feet above the ground or within the lateral boundaries of a specified Class B, C, D, or E airspace surface area of ​​an aerodrome unless there exists clear visibility. exists at least -

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a cup of all-purpose flour as an ingredient

White sugar, 2 tablespoons

Baking powder, two teaspoons

1 salt shaker, or as desired

a cup of milk

Vegetable oil, two tablespoons

1 beaten egg

Directions

In a sizable basin, mix the flour, sugar, baking soda, and salt. Pour the milk, oil, and egg into the center well that has been created. Blend until uniform.

Over medium-high heat, preheat a griddle or frying pan with a little oil. For each pancake, pour or scoop about 1/4 cup of batter onto the griddle; cook for 1 to 2 minutes, or until bubbles form and the edges are dry. The opposite side should be browned after flipping. Use the leftover batter to repeat.

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Answer:

i hope it was good for you

Considering the absolute value function, it is found that:

The absolute value function of vertex at point (h,k) is defined according to the following rule:

f(x) = |x - h| + k.

In the context of this problem, the function is given as follows:

g(x) = |x + 3|.

Hence the coefficients are:

h = -3, k = 0.

Meaning that the coordinates of the vertex are given by:

(-3,0).

The domain is the input values of the function, and since the absolute value function has no restriction, it is composed by all real values.

The range of the function is the set containing the output values of the function, and since the function has no vertical shift, it is the non-negative numbers.

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Jerry burger replicated milgram's experiment in 2009, he found that 70% of participants were still obeying, a from milgram's result is slight reduction .slight reduction means small in quantity or extent. 2 of small importance; trifling. slim and delicate.  lacking in strength or substance.

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