Alec keeps his pens, pencils, and erasers in a plastic box that is shaped like a rectangular prism. Alec's box is 25 centimeters long, 6 centimeters wide, and 4 centimeters tall. What is the volume of Alec's plastic box?

Answer:

He has $347.13

Step-by-step explanation:

217.25+49.58+105.75-25.45=347.13

Answer:

11.08

Step-by-step explanation:

Answer:

\(10 = 4 \\ 25 = x \\ 25 \times 4 = 100 \\ 100 \div 10 = 10s\)

The solution to the equations are x = 3 and no solution in the set, respectively

Question 1

The equation is given as:

5x - 6 = 9

The replacement set is given as

{0,1, 2, 3, 4}

So, we replace the variables using the elements in the replacement set

When x = 0, we have

5(0) - 6 = 9

- 6 = 9 -- false

When x = 1, we have

5(1) - 6 = 9

- 1 = 9 -- false

When x = 2, we have

5(2) - 6 = 9

4 = 9 -- false

When x = 3, we have

5(3) - 6 = 9

9 = 9 -- true

Hence, the value of the equation is x = 3

Question 1

The equation is given as:

8x + 4 = 5x - 6

The replacement set is given as

{2, 3, 4, 5}

So, we replace the variables using the elements in the replacement set

When x = 2, we have

8(2) + 4 = 5(2) - 6

20 = 4 -- false

When x = 3, we have

8(3) + 4 = 5(3) - 6

28 = 9 -- false

When x = 4, we have

8(3) + 4 = 5(4) - 6

28 = 14 -- false

When x = 5, we have

8(5) + 4 = 5(5) - 6

44 = 19 -- false

Hence, the value of the equation is not in the solution set

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Answer:

look at the photo..........

A zero correlation indicates that there is no relationship between 2 variables.

The relationship between variables is described by correlation. It can be either strong or weak, as well as positive or negative. Correlation is a statistical measure that expresses how closely two variables are related linearly (meaning they change together at a constant rate). It's a common tool for describing simple relationships without stating a cause and effect relationship. A correlational study can yield three outcomes: a positive correlation, a negative correlation, or no correlation. A positive correlation is a two-variable relationship in which both variables move in the same direction.

Here,

A correlation of zero indicates that no relationship exists between two variables.

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Answer:

y = 6.5

Step-by-step explanation:

Using a ratio

10           13

-----    = -----------

10+5      13+y

10           13

-----    = -----------

15        13+y

Using cross products

10(13+y) = 13*15

10(13+y) = 195

130+10y = 195

Subtract 130 from each side

10y = 65

Divide by 10

y = 65/10

y = 6.5

Answer:

20

Step-by-step explanation:

H+S=50

2H+4S=140

4H+4S=200

4H+4S=200-

2H+ 4S =140

2H=60

H=30

50-30=20

Given:

Each sheep has 4 legs and a chicken has 2 legs.

A farm boy counts total heads = 50

And number of legs = 140

To Find:

Number of sheep.

Solution:

Let the number of sheep in the farm = s

And the number of chicken in the farm = h

If the total number of heads = 50

s + h = 50 ------- (1)

If the total number of the legs = 140

Number of legs of 's' sheep = 4s

Number of legs of 'h' chicken = 2h

Therefore, 4s + 2h = 140

2s + h = 70 -------(2)

Subtract equation (1) from equation (2),

(2s + h) - (s + h) = 70 - 50

s = 20

Therefore, 20 sheep are in the farm.

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Answer:

55%

Step-by-step explanation:

To get 55 I just divided 33/60 and multiplied it buy 100

\(\frac{13^5}{13^x} =13^4 =>13^{5-x} =13^4\\ =>5-x=4=> x=5-4=1\)

ANSWER: x = 1

ok done. Thank to me :>

Answer:

4/3

Step-by-step explanation:

9÷16=3÷4t

cross multiply

36t=48

divide both sides by 36

t=48÷36

t=4÷3

The statement, When two events are disjoint, they are also independent is false.

In a sample space, we can use probability laws to determine the probabilities of these events and how they relate to each other. Disjoint Events: Two events are non-overlapping or mutually exclusive if they have no common outcome. Mathematically, this can be written as, P(B ∩ A) = 0 --(1)

Independent Events: Events are independent when they do not "affect" the probability of another event occurring. Mathematically written as:

P(B/A) = P(B) P(A and B)

=> P(B ∩ A) = P(B) × P(A) --(2)

(1) ) and (2) events cannot be independent unless they overlap. That is, if events do not overlap, they are also dependent. Hence, disjoint events are not independent that means the above statement is false.

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Answer:

Answer B is correct

Step-by-step explanation:

This is a trapezium.

The formula to find the area of a trapezium is,

1/2 ( Sum of the parallel sides ) × height

Let us find it now.

\(\sf \frac{1}{2}*(38+18)*16 \\\\\sf \frac{1}{2}*56*16 \\\\\sf \frac{1}{2}*896\\\\448cm^2\)

According to the solving  the selling price of one tricycle is $42.50.

Cost Price: The price at which an item must be produced or purchased is referred to as the item's cost price. C.P., or cost price, stands for it. Selling Price: The cost at which an item is offered for sale is referred to as the selling price. S.P., short for selling price, is used.

Let C be the cost of one tricycle, which is $27. The operating expenses are 22% of the cost, or 0.22C. The net profit is 15% of the cost, or 0.15C. Therefore, the total cost to Toys4U is:

Total cost = cost + operating expenses + net profit

= C + 0.22C + 0.15C

= 1.37C

We want to find the selling price, S, which is the total cost plus the markup. Let M be the markup as a percentage of the total cost, so the markup in dollars is:

Markup = M/100 * Total cost

The selling price is then:

S = Total cost + Markup

= 1.37C + M/100 * 1.37C

Since the markup is 15% of the cost, we have M = 15. Substituting this and the value of the total cost, we get:

S = 1.37C + 15/100 * 1.37C

= 1.37C + 0.2055C

= 1.5755C

Substituting the cost of one tricycle C = $27, we get:

S = 1.5755 * 27

= $42.50

Therefore, the selling price of one tricycle is $42.50.

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 y = 1/5x - 5 is the equation of slope-intercept form .

What is slope-intercept form explain?

equation y = 1/5 x - 4

compare y = mx + c , m = 1/5

put points (5,-4) in equation

                        y = mx + c

                        - 4 = 1/5 * 5 + c

                         - 4 = 1 + c

                             c = -5

put value of c in equation

                     y = 1/5x - 5

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Answer:

I will list main feature for each property and you can choose. You can comment if you want to check or have questions

Step-by-step explanation:

Isosceles - two sides are equal

Equilateral - all sides are equal

Obtuse - one angle is greater than 90 degrees

Right - one angle is equal to 90 degrees

Scalene - none of the sides is equal

Acute - all angles are less than 90 degrees

Go down the list and see if it's true or false about the given triangle

The bedroom should be 14.4 inches long in the scale drawing.

What is the proportion?

A proportion is an equation in which two ratios are set equal to each other.

If the scale of the drawing is 3 inches = 5 feet, that means that for every 3 inches on the drawing, it represents 5 feet in reality. To find how many inches the bedroom should be in the scale drawing, you can use the proportion:

(inches in scale drawing) / (feet in reality) = 3 inches / 5 feet

We know that the length of the actual bedroom is 24 feet. To find the length of the bedroom in the scale drawing, we can substitute 24 feet for the (feet in reality) in the proportion and solve for the (inches in scale drawing):

(inches in scale drawing) / 24 feet = 3 inches / 5 feet

Cross-multiplying gives:

(inches in scale drawing) = (24 feet)(3 inches / 5 feet) = 14.4 inches

Hence, the bedroom should be 14.4 inches long in the scale drawing.

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Answer:

A) 100+55x > 150+51x

B) x>12.5

C)13

Step-by-step explanation:

Bc I said so lol :)

Answer:

again hello dude :D

answers are at the photos

GOOD LUCK :D

Step-by-step explanation:

greetings from Turkey ツ

Answer:

8) 10c² - 2c + 5

9) 5a²b² - ab²

Step-by-step explanation:

8c² - c + 3 + 2c² - c + 2 =

10c² - 2c + 5

6a²b² + 3ab² - a²b² - 4ab² =

5a²b² - ab²

Answer:

m=0.555556,−0.555556

Step-by-step explanation:

\(m=(+/-)\sqrt {\frac {25}{81}}\\m=0.\overline {5555555}, -0.\overline {55555555}\)

The  sum of the vectors u and v is (-1,1).

To find the sum of the vectors u and v, we need to add their corresponding components.

The vector u has initial point (2,0) and terminal point (3,2), which means its components are (3-2, 2-0) = (1,2).

The vector v has initial point (2,2) and terminal point (0,1), which means its components are (0-2, 1-2) = (-2,-1).

To find the sum of these vectors, we simply add their corresponding components:

u + v = (1,2) + (-2,-1) = (1-2, 2-1) = (-1,1).

Therefore, the sum of the vectors u and v is (-1,1).

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Significant figures with representation of x are a) 14.8 m = 14.x m. b) $10.25 = 10.2x. c) 0.05 L = 0.0x L. d) 1.000 g/mL = 1.00x g/mL. e)  6200cm = 6200x cm. f)  403 kg = 40x kg.

a) 14.8m has 3 significant figures. Representation with x in place of estimated digit: 14.x m. b) $10.25 has 4 significant figures. Representation with x in place of estimated digit: 10.2x. c) 0.05 L has 1 significant figure. Representation with x in place of estimated digit: 0.0x L. d) 1.000 g/mL has 4 significant figures. Representation with x in place of estimated digit: 1.00x g/mL. e) 6200cm has 2 significant figures. Representation with x in place of estimated digit: 6200x cm. f) 403 kg has 3 significant figures. Representation with x in place of estimated digit: 40x kg. Significant figures are the digits in a measurement that are reliable and accurate. They provide an indication of the precision of a measurement, and allow us to communicate the level of certainty we have in a particular value. When determining the number of significant figures in a measurement, we typically follow a set of rules. Non-zero digits are always significant, zeros between non-zero digits are significant, and trailing zeros to the right of the decimal point are significant. Zeros at the beginning of a number or to the left of a non-zero digit are not significant. The use of significant figures is important in science and engineering to ensure accurate and reliable measurements. When performing calculations with measurements, the result should be reported with the same number of significant figures as the least precise measurement used in the calculation. In addition, when rounding a number, the last digit should be rounded to the nearest value consistent with the number of significant figures being used. Understanding significant figures is an important part of scientific and mathematical communication, and can help to ensure accuracy and consistency in the reporting of data and calculations.

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Answer:

625=63 to the nearest whole number

Step-by-step explanation:

= 4/100×25%

= 625

= 63 to the nearest whole number

Answer:

16

Explanation:

Reasoning:

You know that 4 students = 25% of the class,

and that ? students = 100% of the class,

So you would want to plan it out like this:

4 ----- 25%

? ----- 100%

This is how you would solve it:

            4 x 100

               25

Multiply 100 x 4 = 400

Divide  400/ 25 = 16

Hope this helped ya!

\(\implies {\blue {\boxed {\boxed {\purple {\sf {50}}}}}}\)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

\(12 + 16(5 \times 10) \div 20 - 2\)

\( = 12 + 16(50) \div 20 - 2\)

\( = 12 + \frac{800}{20} - 2\)

\( = 12 + 40 - 2\)

\( = 52 - 2\)

\( = 50\)

\(\sf\purple{PEMDAS\: rule.}\)

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

\(\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆\)

Answer:

Step-by-step explanation:

Answer:

- 22.76

Step-by-step explanation:

if b = - 0.16 the you subtract that with - 22.6

- 0.16 - 22.6 = - 22.76

The answer is 1. The ΣX for a sample of n=12 scores with M=8 is 96, 2. The mean for combined samples of n=15 (mean=10) and n=10 (mean=8) is 9.33, 3a. The original mean before adding 6 points is 8, 3b. The original mean before multiplying scores by 4 is 8, 4. The new sample means after removing X=18 is 22.5, and 5. The score added to a population with μ=24 to achieve μ=34 is 34.

1. For any sample, we can find the sum of the scores (ΣX) by multiplying the mean by the number of scores. So in this case:ΣX = M * nΣX = 8 * 12ΣX = 96Therefore, the ΣX value for this sample is 96.

2. To find the mean of the combined samples, we can use the formula: Mean of combined samples = (n1 * mean1 + n2 * mean2) / (n1 + n2) = Mean of combined samples = (15 * 10 + 10 * 8) / (15 + 10) = Mean of combined samples = 9.33. Therefore, the mean for the combined samples is 9.33.

3. a: We can use the formula for shifting the mean to find the original mean: M1 = M2 - kM1 = 14 - 6M1 = 8. Therefore, the value for the mean before 3 points were added to each score is 8. b. The researcher then realizes that she instead needs to multiply each score by 4. Using the original scores, she multiplies each by 4 and finds the mean to be M=32. We can again use the formula for shifting the mean to find the original mean: M1 = M2 / kM1 = 32 / 4M1 = 8. Therefore, the value of the mean prior to multiplying each score by 4 points is 8.

4. To find the new sample mean, we need to remove the score and adjust the mean accordingly. We can use the formula: New mean = (ΣX - X) / (n - 1)New mean = (ΣX - 18) / 10. Given that the original mean is 22, we can solve for ΣX:22 = ΣX / 1122 * 11 = ΣX243 = ΣX. Now we can plug in to find the new mean: New mean = (243 - 18) / 10 = New mean = 22.5. Therefore, the value of the new sample mean is 22.5.

5. We can use the formula for adding a score to a population to find the value of the added score: N μ = ΣX / NN * μ = ΣX / N + 1. Given that N = 10 and μ = 24 for the original population, we can solve for ΣX:10 * 24 = ΣX240 = ΣX. Now we can use the new mean and the formula to solve for the added score:11 * 34 = 240 + X / 11274 = 240 + XX = 34. Therefore, the value of the score that was added is 34.

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The answer provides solutions to the various statistical maths problems that involve calculations of mean and sum of scores. These problems explore the understanding of the concept of mean, summation and basic operations.

To answer these questions, you'll need to understand basic concepts of statistics, specifically the calculation of means, and summation of scores (ΣX). So, let's break them down one by one:

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Answer:

35 pounds of tea for 80 cents.

Step-by-step explanation:

Equation::

value + value = value

80x + 60(50-x) = 74*50  

80x + 60*50 - 60x = 74*50  

20x = 14*50

x = 35 lbs (amt. of 80 cent tea to use)

50-x = 15 lbs (amt. of 60 cent tean to use)

Answer:

35 pounds of tea for 80 cents.

15 pounds of tea for 60 cents.

Step-by-step explanation:

x · 80 + y · 60 = 50 · 74

x + y = 50 · (- 60)

80x + 60y= 50 · 74

- 60x - 60y = -50 · 60

20x = 50 · (74-60) = 50 · 14

x = 50 · 14/20

35 pounds of tea for 80 cents.

y = 50 - 35 =

15 pounds of tea for 60 cents.

To estimate when the population will exceed 6386, we can set up the following inequality:

P(t) > 6386

Substituting the given equation for P(t), we have:

1850e^0.21t > 6386

Dividing both sides by 1850, we get:

\(e^0.21t > 6386/1850\)

Taking the natural logarithm (ln) of both sides to isolate the exponent:

\(ln(e^0.21t) > ln(6386/1850)\)

Using the logarithmic property, \(ln(e^x)\) = x, we simplify further:

0.21t > ln(6386/1850)

Dividing both sides by 0.21:

t > ln(6386/1850) / 0.21

Now, we can use a calculator to find the numerical value:

t > 7.043

Therefore, the population will exceed 6386 at approximately t = 7.043 (rounded to three decimal places).

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We have expressed x as a ratio of two integers (5194.52178217821 and 99), which shows that x is a rational number.

To show that 52.4699169916991... is a rational number, we need to find a way to express it as a ratio of two integers. Let x = 52.4699169916991...

Since the repeating decimal starts after the second digit, we can multiply x by\(10^2\) to obtain:

100x = 5246.99169916991...

Now, we can subtract x from 100x to eliminate the repeating decimal:

100x - x = 5246.99169916991... - 52.4699169916991...

Simplifying the right-hand side gives:

99x = 5194.52178217821...

Dividing both sides by 99 yields:

x = 52.4699169916991... = 5194.52178217821... / 99

Thus, we have expressed x as a ratio of two integers (5194.52178217821 and 99), which shows that x is a rational number.

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The solution is, the percentage increase in the price is, 5.56%.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

We know,

The price of petrol is increased from R12.58 per liter to R13.28 per liter.

Determine the percentage increase in the price.

We take

13.28 - 12.58 = R 0.70

0.70 divided by 12.58,

i.e. 0.70/12.58

  =0.0556

times 100 = 5.56%

So, the percentage increase in price is 5.56%.

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