which expression is equal to 1/36? A 1/3 x 1/6 B 1/4 x (1/3)^2 C (1/2)^2 x (1/3) ^2 D 1/2 x 1/3 x 1/3 x 1/3

Answer:

115 yards per minute

Step-by-step explanation:

575/5= 115

Answer:

115 yds per minute

The drawing will help

Answer:

The error percentage in estimation is 20 %

Step-by-step explanation:

The estimated distance between library and town  =  735 ft

The actual distance = 612 ft

The Error in estimation  =  Estimated Distance - Actual Distance  

                                        =  735 ft -  612 ft  =  123 ft

So, the error in the estimation is 123 ft.

Now,  [tex]\textrm{  Percentage in Error Estimation}  = \frac{\textrm{The estimated Error}}{\textrm{The estimated value}}  \times 100[/tex]

= [tex]\frac{123}{612}  \times 100 = 20.098[/tex]

or, The error percentage in estimation is 20.09%

Now, rounding off the value to the nearest tenths of a %, we get:

The error percentage in estimation is 20 %

There should be a typo in the question: the correct formula would be

[tex]X\cap(Y\cup Z)=(X\cap Y)\cup (X\cap Z)[/tex]

Let's compute [tex]X\cap (Y\cup Z)[/tex] first. We have

[tex](Y\cup Z)=\{1, 4, 5, 6, 7, 8, 9\}[/tex]

If we intersect this set with X, we have

[tex]X\cap (Y\cup Z) = \{5, 8, 9\}[/tex]

So, that would be the left hand side. For the right hand side, we have

[tex]X\cap Y = \{8\},\quad X\cap Z = \{5,9\}[/tex]

And their union is again [tex]\{5,8,9\}[/tex]

Final answer:

The intersection of two sets can be proven using a membership table for the given sets X, Y, and Z.

Explanation:

The intersection of two sets, written as AnB, is a set consisting of all elements that are both in A and B. We can use a membership table to prove the following equation: X ∩ (Y ∪ Z) = (X ∩ Y) ∪ (Y ∩ Z).

Answer:

75/2 (or 37 1/2)

Step-by-step explanation:

Here we're multiplying 4 1/2 by 8 1/3.

Converting both numbers to improper fractions:

9/2 times 25/3, or

9      25

---- * ------

 2       3

Reducing the fractions, we get:

3      25

---- * ------ = 75/2 (answer)

 2       1

The value of the given expression is 36.

Use the concept of fraction defined as:

A fraction is part of a whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.

Given that,

[tex]s = 4\dfrac{1}{2}[/tex]

We have to calculate [tex]8\dfrac{1}{3} \test{s}[/tex]

Now convert both fractions into improper fractions,

[tex]4\dfrac{1}2} = \dfrac{8 + 1}{2}\\\\4\dfrac{1}{2} = \dfrac{9}{2}\\\\[/tex]

And [tex]8\dfrac{1}{3} = \dfrac{24}{3}[/tex]

Now we have,

s = 9/2

Therefore,

[tex]8\dfrac{1}{3}s = \dfrac{24}{3}s\\\\8\dfrac{1}{3}s = \dfrac{24}{3}\times\dfrac{9}{2}\\\\[/tex]

Simplifying we get,

[tex]8\dfrac{1}{3}s = 12 \times 3\\\\ 8\dfrac{1}{3}s = 36[/tex]

Hence the value of the expression is 36.

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Answer:

The value of r+300-2 is 0.

Step-by-step explanation:

3(r+300)=6

r+300=6/3

r+300=2

r=2-300

r=-298

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

r+300-2=-298+300-2=2-2=0

Answer: 28 inches

Step-by-step explanation:

Side1 + side 2 + side 3 =

7 inches + 8 inches + 13 inches =

28 inches

Slope of the line is 0.

Step-by-step explanation:

Given points are,

(-6, -7) and (-24, -7)

Here,

[tex]x_{1} = -6\ \ \ \ \ y_1=-7\\x_2=-24\ \ \ \ \ y_2=-7[/tex]

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]Slope = \frac{-7-(-7)}{-24-(-6)}\\Slope=\frac{-7+7}{-24+6}\\Slope=\frac{0}{-18}\\Slope= 0[/tex]

Slope of the line is 0.

Keywords: slope, line

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Final answer:

The slope of the line that passes through the points (-6, -7) and (-24, -7) is calculated using the slope formula and is found to be 0, indicating that the line is horizontal.

Explanation:

The question asks for the slope of the line that passes through the points (-6, -7) and (-24, -7). To calculate the slope, we use the formula slope = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. Plugging in our values, we get the slope = (-7 - (-7)) / (-24 - (-6)) = 0 / -18 = 0. Therefore, the slope of the line through these two points is 0, which means the line is horizontal.

Answer:

$28,116

Step-by-step explanation:

27,000/100*104 = 28,080 + 36 = $28,116

249 children and 394 adults swam at the public pool.

Step-by-step explanation:

Number of people swam at pool = 643

Receipts = $1161.50

Cost for one child = $1.50

Cost for one adult = $2.00

Let,

x be the number of children

y be the number of adults

According to given statement;

x+y=643    Eqn 1

1.50x+2.00y = 1161.50   Eqn 2

Multiplying Eqn 1 by 2

[tex]2(x+y=643)\\2x+2y=1286\ \ \ Eqn\ 3\\[/tex]

Subtracting Eqn 2 from Eqn 3

[tex](2x+2y)-(1.50x+2.00y)=1286-1161.50\\2x+2y-1.50x-2.00y=124.50\\0.5x=124.50[/tex]

Dividing both sides by 0.5

[tex]\frac{0.5x}{0.5}=\frac{124.50}{0.5}\\x=249[/tex]

Putting x=249 in Eqn 1

[tex]249+y=643\\y=643-249\\y=394[/tex]

249 children and 394 adults swam at the public pool.

Keywords: linear equation, subtraction

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Answer:

The slope of the given line 1 is  -4/5.

The slope of the given line 2 is  0.

The line 2 has a greater slope then line 1.

Step-by-step explanation:

The slope of a line with points (x1,y1) and (x2,y2) is given as:

[tex]m = \frac{y_2- y_1}{x_2-x_1}[/tex]

Now, Here the, points of the line 1 are A (-2,7) and B (3,3)

So, here, the slope of line AB  is [tex]m = \frac{3 -7}{3-(-2)}  = \frac{-4}{3 +2} =   \frac{-4}{5}[/tex]

Hence, the slope of the given line 1 is  -4/5.

Now, Here the, points of the line 2 are P (5,1) and Q (9,1)

So, here, the slope of line PQ  is [tex]m = \frac{1-1}{9-5}  = \frac{0}{4} =   0[/tex]

Hence, the slope of the given line 2 is  0.

Now, as we can see  0    >  ( -4 / 5)

So, the line 2 has a greater slope then line 1.

Answer:

x=-117/4

Step-by-step explanation:

5x-15+130=x-2

5x-x+115=-2

4x+115=-2

4x=-2-115

4x=-117

x=-117/4

Answer:

18529/50 or 370.58

Step-by-step explanation:

5/10=1/2

8/100=2/25

300+70+1/2+2/25

370+1/2+2/25

370+29/50

18529/50 or 370.58

Step-by-step explanation:

370 + 50/100 + 8/100

37000/100 + 58/100

37058/100 = 370 58/100 = 370 29/50

Answer:

a doesn't equal 0

Step-by-step explanation:

State under which condition the original and the simplified expressions are equivalent

Answer:

B

Step-by-step explanation:

4 units is the answer. i got an 100% on the quiz

The triangle missing from the question has attached and the opposite side of angle B is 4 units.

A triangle is a three sides lines geometry in which the sum of all angles is 180°.

Given that a triangle ABC and has sides as

AB = 4

BC = 3

AB = 5

It's clearly visible that the opposite side of angle B is AC which has length as 4 units.

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Answer:

4

Step-by-step explanation:

Find the greatest common factor (GCF) of 28 and 52.  First, write the prime factorization of each:

28 = 2² × 7

52 = 2² × 13

The GCF is 2² or 4.  So the most fruits per box is 4.

Answer:

k = 0.28

Step-by-step explanation:

The price of peaches at Al's supermarket can be determined by the equation P = 0.28n ........... (1)

where P is the price and n is the number of pounds of peaches.

Now, it is clear that the price of peaches is proportional to the number of pounds of peaches.

So, we can write,

P ∝ n

⇒ P = kn ............. (2) where k is the constant which we have to multiply to covert from proportionality to equation form.

Now, comparing equations (1) and (2) we get k = 0.28 which is the value of the constant of proportionality. (Answer)

Final answer:

The constant of proportionality in the equation p = 0.28n is 0.28, representing the price per pound of peaches at Al's supermarket.

Explanation:

The constant of proportionality in the equation p = 0.28n, where P is the price and n is the number of pounds of peaches, is 0.28. This constant represents the price per pound of peaches at Al's supermarket. When you want to compute the amount spent on peaches, you multiply the quantity (in pounds) by this constant of proportionality, which is the price per pound. As an example, if you have 10 pounds of peaches, the total cost would be calculated as 10 pounds × $0.28 per pound, resulting in a total of $2.80 for the peaches.

Answer:

Unit price = $1.31/roll

Step-by-step explanation:

Divide total cost by number of units:

$10.48 / 8 rolls = $1.31/roll

I copy the complete questions again to make them clearer:

Priya and Han are biking in the same direction on the same path.

a. Han is riding at a constant speed of 16 miles per hour. Write an expression that shows how many miles Han has gone after    [tex]t[/tex]     hours.

b. Priya started riding a half hour before Han. If Han has been riding for     [tex]t[/tex]     hours, how long has Priya been riding?

c. Priya is riding at a constant speed of 12 miles per hour. Write an expression that shows how many miles Priya has gone after Han has been riding for     [tex]t[/tex]     hours.

d. Use your expressions to find when Han and Priya meet.

Answer:

Explanation:

a. Since Han is riding at a constant speed of 16 miles per hour, the number of miles that he has gone is proportional to the number of hours, t, that he has been riding, the constant of variation is 16, and the expression for the number of miles he has gone is:

Where, H is the number of miles Han has gone, and t is the number of hours.

b. Since Priya started riding a half hour before Han, you have to add 1/2 or 0.5 to the time of Han, which is t, to express how long Priya has been riding:

c. Since, Priya is riding at a constant speed of 12 miles per hour, the number of miles that she has gone is proportional to the number of hours, t + 0.5, that she has been riding, the constant of variation is 12, and the expression for the number of miles she has gone is:

Where P is the number of miles Priya has gone, and t is the number of hours since Han is riding.

d. To find when Han and Priya meet, you just need to solve the sytem of equations, making H = P, which means that the number of miles that both Han and Priya rides is equal:

[tex]H=P\\ \\ 16t=12(t+0.5)\\ \\ 16t=12t+6\\ \\ 4t=6\\ \\ t=6/4=3/2=1.5[/tex]

Which means that they meet when it has passed 1.5  hours since Han started riding.

Answer:

1.  45/482 of the students are in grade 4.

2.  5/9 of the students of the grade 4 are boys.

3. 7/15 of the grade 4 students are in Ms. Ashley's class

4. 3/4 of the students in Mr. Ben's class do not have siblings in the same school.

5. There are 14 students with glasses and 7 without glasses.

Step-by-step explanation:

1. Let's review the information given to us for solving the questions:

Number of students in the school = 482

Ms. Ashley's Grade 4 class = 21 students

Ms. Ashley's Grade 4 class boys = 15 students

Ms. Ashley's Grade 4 class girls = 6 students

Ms. Ashley's Grade 4 class with glasses = 2/3 * 21 = 42/3 = 14 students

Mr. Ben's Grade 4 class = 24 students

Mr. Ben's Grade 4 class boys = 10 students

Mr. Ben's Grade 4 class girls = 14 students

Mr. Ben's Grade 4 class with siblings in the school = 1/4 * 24 = 24/4 = 6 students

2. Let's answer all the questions:

1. What fraction of the students in the school are in grade 4?

(Ms. Ashley's Grade 4 class + Mr. Ben's Grade 4 class)/ Number of students in the school

21 + 24 / 482 = 45/482

2. What fraction of the grade 4 students are boys?

(Ms. Ashley's Grade 4 boys + Mr. Ben's Grade 4 boys)/ (Ms. Ashley's Grade 4 class + Mr. Ben's Grade 4 class)

15 + 10 / 21 + 24

25 / 45 = 5/9

3. What fraction of the grade 4 students are in Ms. Ashley's class?

Ms. Ashley's Grade 4 class / (Ms. Ashley's Grade 4 class + Mr. Ben's Grade 4 class)

21 / 21 + 24

21 / 45 = 7/15

4. What fraction of the students in Mr. Ben's class that do not have siblings in the same school?

(Mr. Ben's Grade 4 class - Mr. Ben's Grade 4 class with siblings in the school)/ Mr. Ben's Grade 4 class

24 - 6 / 24

18 / 24 = 3/4

5. In Ms. Ashley's class, are there more students that wear glasses or do not wear glasses?

There are 14 students with glasses and 7 without glasses.

Answer:

$100\%=165$100%=165​.

Step-by-step explanation:

Answer:

4%

Step-by-step explanation:

165 is what % of 4125.

Let x represent the % in decimal form

4125*x = 165

Isolate x by dividing both sides by 4125

x = 0.04

0.04 = 4%

You find this by moving the decimal two places to the right

Answer:

Step-by-step explanation:

14

Answer:

Step-by-step explanation:

it is 145/25 which is reduced to 29/5

Answer:

5 19/25

Step-by-step explanation:

Answer:

-2/3

Step-by-step explanation:

m=(6-4)/(-2-1)=2/-3=-2/3

Answer:

[tex]\large\boxed{m=-\dfrac{2}{3}}[/tex]

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (1, 4) and (-2, 6).

Substitute:

[tex]m=\dfrac{6-4}{-2-1}=\dfrac{2}{-3}=-\dfrac{2}{3}}[/tex]

Answer:

0.41

Step-by-step explanation:

formula;  y = kx (where k is the constant variation)

the standard equation representing direct variation

y = 0.41 x is the equation to find the constant of proportionality

so, K = 0.41

Answer:

-1, 3, 7

Step-by-step explanation:

y = 4(-1) + 3

y = -4 + 3

y = -1

y = 4(0) + 3

y = 0 + 3

y = 3

y = 4(1) + 3

y = 4 + 3

y = 7

To solve the linear equation y = 4x + 3, substitute the given x values (-1, 0, 1) into the equation to find the corresponding y values. The results are -1, 3, and 7 respectively.

The question asks to solve the equation y = 4x + 3, for the values of x being -1, 0, and 1. This is a linear equation where y depends on x. To find the corresponding y values for each x value:

Hence, the values for y when x equals -1, 0, and 1 respectively are -1, 3, and 7.

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Answer:

C, the answer is 62.

Step-by-step explanation:

Well, 1 x 62 is 62 so that's the only factor of 62 out of all of them.

To determine the number of seats left in the basketball arena, the number of tickets sold (5,134) is subtracted from the total arena capacity (7,000), resulting in 1,866 seats remaining available.

A basketball arena can hold approximately 7,000 people.

Fans bought 5,134 tickets before the game.

The number of seats left to fill before the game can be calculated by subtracting the tickets bought from the total arena capacity: 7,000 - 5,134 = 1,866 seats left to fill.

If there is a 30% chance of it raining, then that means there is a 70% chance of it not raining.

100%-30%=70%

Answer: 70%

Step-by-step explanation: In terms of probability, 100% is the maximum which means something is certain. There are some occasions where it can be higher than 100% like dealing with percent increase or decrease, but in this case, we're talking about 100%.

In this problem, we're given that the probability of rain for tomorrow is 30% and we're asked to find the probability that it will not rain.

Since 100% will be the maximum when dealing with probability, we will subtract the chance it will rain tomorrow which is 30% from 100%.

100% - 30% = 70%.

Therefore, the probability/chance it will not rain is 70% which means it's likely it will not rain.

Answer:

Step-by-step explanation:

It could be 42 pencils