as part of a summer job, you stack crates. the crates have the same length and width but have heights of 1 or 2 feet. using a forklift, you can stack the crates 8 feet high. if you stacked 3 of the 2-foot crates how many of the 1-foot crates were in the stack?

Answer:

72 units squared

Step-by-step explanation:

6x2=12

6x2=12

2x3=6

2x3=6

6x3=18

6x3=18

12+12+6+6+18+18=72

Answer:

72 square units

Step-by-step explanation:

   l = 6 units

   w = 2 units

   h = 3 units

Substitute l, w & h in the below mentioned formula:

   \(\boxed{\text{\bf Surface area of rectangular prism = 2*(lw + wh + hl)}}\)

                                                                   \(\sf = 2 *(6*2 + 2*3 + 3*6)\\\\=2* (12 + 6 + 18)\\\\= 2 * 36\\\\= 72 \ square units\)

Answer:

Price of X is $24.81

Price of Y is $3.66

Price of Z is $11.36

Step-by-step explanation:

for person A, we know that earns $40, then we can write the equation:

-4*z + 3*x + 3*y = $40

For person B, we know that earns $50, then:

1*z + 2*x - 3*y = $50

For person C, we know that earns $130, then:

6*z - 1*x + 4*y = $130

Then we have a system of equations:

-4*z + 3*x + 3*y = $40

1*z + 2*x - 3*y = $50

6*z - 1*x + 4*y = $130

To solve the system, we need to isolate one of the variables in one of the equations.

Let's isolate z in the second equation:

z = $50 - 2*x + 3*y

now we can replace this in the other two equations:

-4*z + 3*x + 3*y = $40

6*z - 1*x + 4*y = $130

So we get:

-4*($50 - 2*x + 3*y) + 3*x + 3*y = $40

6*($50 - 2*x + 3*y) - 1*x + 4*y = $130

Now we need to simplify both of these, so we get:

-$200 + 11x - 9y = $40

$350 - 13*x + 28*y = $130

Now again, we need to isolate one of the variables in one of the equations.

Let's isolate x in the first one:

-$200 + 11x - 9y = $40

11x - 9y = $40 + $200 = $240

11x = $240 + 9y

x = ($240 + 9y)/11

Now we can replace this in the other equation:

$350 - 13*x + 28*y = $130

$350 - 13*($240 + 9y)/11 + 28*y = $130

Now we can solve this for y.

- 13*($240 + 9y)/11 + 28*y  = $130 - $350 = -$220

-13*$240  - (13/11)*9y + 28y = - $220

y*(28 - (9*13/1) ) = -$220 + (13/11)*$240

y = ( (13/11)*$240 - $220)/(28 - (9*13/1) ) = $3.66

We know that:

x = ($240 + 9y)/11

Replacing the value of y, we get:

x = ($240 + 9*$3.66)/11  = $24.81

And the equation of z is:

z = $50 - 2*x + 3*y = $50 - 2* $24.81 + 3*$3.66 = $11.36

Then:

Price of X is $24.81

Price of Y is $3.66

Price of Z is $11.36

The function is determined using speed and is found to be d = 120t.

Speed is generally the change in distance per unit time. (rate of change of distance)

To calculate speed, we will use speed = distance/time.

speed = 360/3

           = 120km/hr

Since, the train is moving with a constant speed the ratio of distance and time will be equal to 120 throughout the journey.

120 = d/t

Hence, d = 120t.

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The coordinates of point G are (1.5, -4). The reflection of point G across x-axis and y-axis lies in quadrant II, and the coordinates of that point are (-1.5, 4). ​

In Mathematics and Geometry, a reflection over or across the x-axis is represented by this transformation rule (x, y) → (x, -y).

Based on the, the coordinates of point G are located at (1.5, -4) in quadrant IV.

By applying a reflection over the x-axis to the coordinates of point G, we have the following coordinates of the image G';

(x, y)                              →      (x, -y)

Point G (1.5, -4)             →      G' (1.5, -(-4)) = G' (1.5, 4)

By applying a reflection over the y-axis to the coordinates of point G', we have the following coordinates of the image G";

(x, y)                            →      (-x, y)

Point G' (1.5, 4)           →      G" (-1.5, 4), which is located in quadrant II.

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Answer:

x = 3

Step-by-step explanation:

2x+6=x+9 subtract x in both sides

x +6 =9 subtract 6 in both sides

x = 3

Answer:

Step-by-step explanation:

1 loaf = 8 eggs

32 loaves will need 32*8 eggs or 256 eggs

Answer:

100

Step-by-step explanation:diego died

The value of the integral is π(540)^2.

We can change the order of integration as follows:

∫^(∞)(0)∫540∫9y6e−x2+zdxdydz = ∫^(540)(0)∫^∞_0∫^√(9y^6)_(−∞)e−x^2dzdxdy

The limits of z are from −∞ to ∞, but the integrand is an even function of z, so we can simplify the integral by taking the absolute value of the integrand and multiplying it by 2:

∫^(540)(0)∫^∞_0∫^√(9y^6)(−∞)e−x^2dzdxdy = 2∫^(540)_(0)∫^∞_0∫^√(9y^6)_0 e−x^2dzdxdy

We can now evaluate the integral with respect to z:

2∫^(540)_(0)∫^∞_0[√π/2 - √π/2erf(−√x^2+z)/2]|^√(9y^6)_0 dxdy

where erf is the error function.

Substituting the limits of integration and simplifying, we get:

2∫^(540)_(0)∫^∞_0[√π/2 - √π/2erf(−3y^3/√2x)/2]dxdy

Next, we can evaluate the integral with respect to x:

2∫^(540)_(0)[√π/2(x - √2/3y^3erf(−3y^3/√2x))]|^∞_0 dy

Since the limits of integration with respect to x are from 0 to ∞, the first term in the square brackets evaluates to ∞, and the second term evaluates to √π/2. Therefore, the integral reduces to:

2∫^(540)_(0)√π/2 dy = π(540)^2

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Answer:

I think B

Step-by-step explanation:

It woks for me more than the others.

Answer:

$0.97

Step-by-step explanation:

Let the cost of a single apple is x and that of single mango is y.

ATQ,

3x+6y=9.15 ....(1)

8x+4y=11.92 ...(2)

Multiply equation (1) by 8 and equation (2) by 3

24x+48y=73.2 ...(3)

24x+12y=35.76  ...(4)

Subtract equation (2) from (1) :

24x+12y-(24x+48y) = 35.76  - 73.2

12y-48y = -37.44

-36y = -37.44

y = $1.04

Put the value of y in equation (1)

3x+6y=9.15

3x+6(1.04) = 9.15

3x = 9.15-6(1.04)

3x = 2.91

x = $0.97

Hence, the cost of single apple is $0.97.

The frequencies will be Red : 6, Blue: 4, Green: 8, Yellow : 1 (half of 2), Pink: 1 (half of 2).

It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell to total frequency.

It is given that:

24 children were asked which is their favourite colour from a choice of red, blue

green or yellow

From the data given in the question.

Red : 6

Blue: 4

Green: 8

Yellow : 1 (half of 2)

Pink: 1 (half of 2)

Thus, the frequencies will be Red : 6, Blue: 4, Green: 8, Yellow : 1 (half of 2), Pink: 1 (half of 2).

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answer

for the median its 7

for the mean its 6.

the mode is 9

Step-by-step explanation:

The mode is the value that appears most frequently in a data set.

Median:The number in the MIDDLE when they are IN ORDER!

Mean- The AVERAGE OF ALL NUMBERS: You add up all the numbers then you divide it by the TOTAL NUMBER of NUMBERS!

Answer:

44

Step-by-step explanation:

Divide 8 by 2 = 4

Then you take 4*11 to complete the ratio

hope this helps!

Answer:

b)4

Step-by-step explanation:

27x+2=26x+6

-26x     -26x

x+2=6

-2     -2

x=4

Answer:

x = 4

Step-by-step explanation:

Vertically opposite angles are equal

        27x + 2 = 26x + 6              {Subtract 26x from both sides}

27x -26x + 2 = 6

           x  + 2 = 6               {Subtract 2 form both sides}

                  x = 6 - 2

x = 4

If an equilateral triangle has a perimeter of 24 feet. the area of the circle is approximately 50.27 square feet.

Since the perimeter of the equilateral triangle is 24 feet, each side has a length of 8 feet (since all three sides are equal).

The diameter of the circle is equal to the length of one side of the equilateral triangle, which is 8 feet. Therefore, the radius of the circle is half the diameter, which is 4 feet.

The area of a circle is given by the formula:

A = πr^2

where A is the area and r is the radius.

Plugging in the value of the radius, we get:

A = π(4 feet)^2

A = 16π square feet

A ≈ 50.27 square feet (rounded to two decimal places)

Therefore, the area of the circle is approximately 50.27 square feet.

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Answer:

40 years.

Step-by-step explanation:

The simple interest formula is given by:

\(E = P*I*t\)

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

Brayden saves $1,500 at a yearly simple interest rate of 2.5%.

This means that \(P = 1500, I = 0.025\)

How many years does it take for the amount he has saved to be double the original amount?

This will happen when the earned money is the principal, that is, E = 1500. So

\(E = P*I*t\)

\(1500 = 1500*(0.025)*t\)

\(t = \frac{1}{0.025}\)

\(t = 40\)

40 years.

Answer:

Step-by-step explanation:

40 years.

Step-by-step explanation:

The simple interest formula is given by:

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

Brayden saves $1,500 at a yearly simple interest rate of 2.5%.

This means that

How many years does it take for the amount he has saved to be double the original amount?

This will happen when the earned money is the principal, that is, E = 1500. So

Answer:letra    b

Step-by-step explanation:

A function assigns the values. The decrease in selling price from 700 units sold to 900 units sold is 10. Thus, the correct option is B.

A function assigns the value of each element of one set to the other specific element of another set.

Price of the unit when 900 units were sold,

P=1200-20s

900 = 1200 - 20s

s = 15

Price of the unit when 700 units were sold,

P=1200-20s

700 = 1200 - 20s

s = 25

Now, the difference in the selling price of the units is,

Difference = 25 - 15 = 10

Hence, the decrease in selling price from 700 units sold to 900 units sold is 10. Thus, the correct option is B.

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The shaded area under the normal curve is determined using the 68 - 95 - 99.7 rule to be 68.27%

The 68 95 99 rule, also known as the empirical rule in statistics, states that given normal distributions,

considering the figure and using the 68 - 95 - 99 rule, the shaded part is the reads 68% of the population and falls under the mean's 1 standard deviation.

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Answer:

if I'm not mistaking it's 15%

Answer:

x = 566.67

Step-by-step explanation:

We have, 45% × x = 255

or,

45/100

× x = 255

Multiplying both sides by 100 and dividing both sides by 45,

we have x = 255 ×

100/45

x = 566.67

If you are using a calculator, simply enter 255×100÷45, which will give you the answer.

Answer:

The exterior angle to the vertex P, measuring 90°

Step-by-step explanation:

The sum of the internal angles of any triangle needs to be equal 180 degrees. So, we can write two equations:

mP = mQ + mR

mP + mQ + mR = 180°

Substituting (mQ + mR) by mP in the second equation, we have:

mP + mP = 180°

mP = 90°

this right angle is the bigger angle in the triangle, because the sum of all three angles needs to be 180°.

Each exterior angle is the supplementary angle of the respective internal angle, so the bigger the internal angle, the smaller the external angle.

So if the bigger internal angle is mP = 90°, the smaller exterior angle is 180 - 90 = 90°.

Answer:

m = 25 + 6n

Step-by-step explanation:

To write a function for the amount of money Makayla spent going to the movies during the club, you need to consider two things: the annual registration fee and the discounted ticket price. The annual registration fee is a fixed amount that does not depend on the number of movie tickets Makayla purchases. The discounted ticket price is a variable amount that depends on the number of movie tickets Makayla purchases. You can use a letter, such as n, to represent the number of movie tickets Makayla purchases. Then, you can write an expression for the amount of money Makayla spent on movie tickets, which is 6 times n, or 6n. To find the total amount of money Makayla spent going to the movies during the club, you need to add the annual registration fee and the amount of money spent on movie tickets. This gives you the expression 25 + 6n. You can use another letter, such as m, to represent the total amount of money Makayla spent going to the movies during the club. Then, you can write an equation that relates m and n, which is m = 25 + 6n. This equation is a function that models the amount of money Makayla spent going to the movies during the club as a function of the number of movie tickets she purchased.

Mr. Marshal spent 1/4 of his salary on miscellaneous expenses and $1,680 on rental; therefore, he spent 1/36 of his entire salary on the trip.

To find the fraction of money spent on miscellaneous, we need to calculate the sum of the fractions spent on rental, food, and bank and subtract it from 1.

Rental: 1/5

Food: 1/10

Bank: 1/4

To find the fraction spent on miscellaneous:

Fraction spent on miscellaneous = 1 - (Rental + Food + Bank)

Rental + Food + Bank = 1/5 + 1/10 + 1/4 = (8 + 4 + 5)/40 = 17/40

Fraction spent on miscellaneous = 1 - 17/40 = 23/40

So, Mr. Marshal spent 23/40 of his salary on miscellaneous.

To find the amount spent on rental, we multiply the fraction spent on rental by his salary:

Amount spent on rental = (1/5) \(\times\) $8,400 = $1,680

Therefore, Mr. Marshal spent $1,680 on rental.

If Mr. Marshal spent 4/9 of the miscellaneous amount on a trip, we need to calculate the fraction of his entire salary spent on the trip.

Fraction spent on the trip = (4/9) \(\times\) (23/40) = 92/360 = 23/90

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The probability that a student will be picked from a AP statistics class is 0.06

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 is certainty

Probability = sample space / total possible outcome

the total possible outcome is 450 students

the number of students that take AP statistics alone = 39- 12= 27students

therefore probability of choosing from AP statistics= 27/450= 0.06

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The equation that represents the condition is m° + 66° + m° = 120°. Then the value of m is 27°.

When two lines intersect, then their opposite angles are equal. Then the equation is given as,

m° + 66° + m° = 120°

Simplify the equation for m, then the value of 'm' is calculated as,

m° + 66° + m° = 120°

2m° = 120° - 66°

2m° = 54°

m° = 27°

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The population density of Rio de Janeiro in people per square meter is 5. 377 x 10 ⁻³ people per m²

To find the population density in meters squared when given the population density in kilometers squared, you first need to find the conversion factor between kilometer squared and meters squared.

1 kilometer squared is equal to 1, 000, 000 meters squared.

The population density of Rio de Janeiro in meters squared is therefore:

= Population density in kilometers squared / Conversion factor

= 5, 377 / 1, 000, 000

= 0. 005377

= 5. 377 x 10 ⁻³ people per m²

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The full question is:

In 2016, the city of Rio de Janeiro had a population density of 5377 people/km2.

What was the population density of Rio in people per square meter?

Answer:

I believe the answer to your question is 34°

Answer:

217 344/1000 or 217 43/125

Step-by-step explanation:

200.60 interest does andy’s account earn.

Let x be the amount of interest earned by Andy's account.

According to the problem, Andy's account earns 0.3% more interest than Marty's account, which means that Andy's account earns the same amount plus an additional 0.3% of that amount. Mathematically, we can express this as:

x = 200 + 0.3% of 200

Simplifying the right-hand side of the equation, we get:

x = 200 + 0.003 × 200

x = 200.60

Therefore, the answer is option 1: 200.60.

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