If each box of crayons had 36 crayons, how much would the cost
be PER crayon? Round to the nearest cent.

To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

Iris should use an income value of approximately $3,137.50 when making her budget.

When making her budget as a freelancer, Iris should use an income value that reflects her average earnings over the past four months. By calculating the average income, Iris can have a more stable and reliable estimate for her budget planning.

To determine the average income, Iris needs to add up the total income earned over the four months and divide it by the number of months. Summing up the income values, we get:

$2700 + $4600 + $3550 + $1700 = $12,550

Next, dividing the total income by four (the number of months), we find:

$12,550 / 4 = $3,137.50

Therefore, Iris should use an income value of approximately $3,137.50 when making her budget. This average value allows her to account for fluctuations in her monthly income and provides a more accurate representation of her earning potential.

It is important for Iris to consider her expenses and financial goals when budgeting. By using the average income, she can create a budget that balances her income and expenses, allowing her to allocate funds appropriately for various needs such as bills, savings, investments, and personal expenses.

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The probable question may be:

Iris is a working freelancer and has been tracking her monthly income for the last four months, which are $2700, $4600, $3550, and $1700. What income value should she use when making her budget?

The two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).

To solve the system of equations, let's assign variables to the two integers. Let the first integer be represented by 'x' and the second integer by 'y'.

According to the given information:

a. Fourteen more than twice the first integer gives the second integer:

This can be expressed as: 2x + 14 = y

b. The second integer increased by one is the square of the first integer:

This can be expressed as: y + 1 = x^2

Now, we have a system of equations:

1) 2x + 14 = y

2) y + 1 = x^2

To solve this system, we can substitute the value of 'y' from equation 1) into equation 2):

2x + 14 + 1 = x^2

2x + 15 = x^2

Rearranging the equation, we have:

\(x^2 - 2x - 15 = 0\)

Factoring the quadratic equation, we get:

(x - 5)(x + 3) = 0

Setting each factor equal to zero:

x - 5 = 0   -->   x = 5

x + 3 = 0   -->   x = -3

Substituting the values of 'x' back into equation 1), we can find the corresponding values of 'y':

For x = 5:

2(5) + 14 = y

10 + 14 = y

y = 24

For x = -3:

2(-3) + 14 = y

-6 + 14 = y

y = 8

Therefore, the two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).

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Answer:

4) 1/5

5) 5/28

6) 7/36

Step-by-step explanation:

4) 3/15=1/5

5) 5/28

6) 14/72=7/36

Answer:

3/5 × 1/3 = 1/5

5/7 × 1/4 = 5/28

7/8 × 2/9 = 7/36

Step-by-step explanation:

Answer:

b= 47

Step-by-step explanation:

180-90 =90

90 -43 =47

Answer:

b = 47°

Step-by-step explanation:

The 3 angles lie on a straight line and sum to 180° , that is

b + 43° + 90° = 180°

b + 133° = 180° ( subtract 133° from both sides )

b = 47°

Answer: 12 cm

Step-by-step explanation:

The masses of the spheres are proportional to their volums, and the cube of the ratio is k^3=135/5=27 ==> k=3

The greater radius is 3*4=12 (cm)

Answer:

Step-by-step explanation:

0.1×0.1 = 0.01

0.1×2 = 0.2

0.3×0.04 = 0.012

1.2×0.12 = 0.144

Answer:

C) 6 faces, 8 vertices, 12 edges

Step-by-step explanation:

6 faces: base and top face (2) and side faces (4)

8 vertices: 4 on the top, 4 on the bottom

12 edges: 4 on the top, 4 on the bottom, 4 on the sides

Answer:

I'm pretty sure the answer is C

Answer:

Mean = 53.

Step-by-step explanation:

The median is the middle value so the 3 cards are

36, 46, x       where x is to be found.

The range is 41, so:

x - 36 = 41

x = 41 + 36

x = 77.

Therefore, the mean is

(36+46+77) / 3

= 159/3

= 53.

Difference is the Result of one of the important mathematical operations, which is obtained by subtracting two numbers. If ST = 22 and RT = 39 then RS is 22.

What is Difference?

Result of one of the important mathematical operations, which is obtained by subtracting two numbers.

Given,

ST = 22

RT = 39,

RS will be obtained by subtracting ST from RT i.e,

RS is obtained by finding difference between RT and ST.

RS=RT-ST

=39-22

=17

Therefore value of RS is 17 when ST = 22 and RT = 39.

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A dilation by a scale factor of 5 centered at the  origin simply multplies by 5 the coordinates of every point. So, the new coordinates are (-5, -25)

The Farmer Brown has the most cows. The number of cows each farmer now has, in terms of "c," is as follows:

Farmer Brown: (9/16) * c cows.

Farmer Smith: (7/9) * c cows.

Farmer Jones: (1/6) * c cows.

Let's start by analyzing the situation for each farmer.

Farmer Brown initially had "x" cows. In the first year, a quarter of his cows died, which is (1/4) * x = x/4. The remaining cows are (3/4) * x.

In the second year, a third of the remaining cows died, which is (1/3) * (3/4) * x = x/4. Thus, Farmer Brown now has (3/4) * x - x/4 = (9/16) * x cows.

Farmer Smith initially had "x" cows. In the first year, a third of his cows died, which is (1/3) * x = x/3. The remaining cows are (2/3) * x.

In the second year, a quarter of the remaining cows died, which is (1/4) * (2/3) * x = x/6. Thus, Farmer Smith now has (2/3) * x - x/6 = (7/9) * x cows.

Farmer Jones initially had "x" cows. In the first year, a third of his cows plus four more died, which is (1/3) * x + 4. The remaining cows are (2/3) * x - 4.

In the second year, a quarter of the remaining cows died, which is (1/4) * (2/3) * x - 4 = (1/6) * x - 4. Farmer Jones then bought four more cows, bringing his total to (1/6) * x - 4 + 4 = (1/6) * x.

To summarize:

Farmer Brown now has (9/16) * x cows.

Farmer Smith now has (7/9) * x cows.

Farmer Jones now has (1/6) * x cows.

To determine who has the most cows, we can compare their fractions:

(9/16) * x > (7/9) * x > (1/6) * x

Simplifying the fractions:

9/16 > 7/9 > 1/6.

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Answer:

2.57 yards longer

Step-by-step explanation:

Step one:

given data

We are told that the Jiaozhou Bay Bridge in China, spans 26.4 miles

Also, The longest sea bridge in the United States is the Lake Pontchartrain Causeway in Louisiana, which spans 41,940 yards

Required

Unit conversion from yards to miles

Step two:

let us convert 41,940 yards to miles

We know that 1 yard is 0.000568182 miles

hence 41,940 yards is x miles

cross multiply we have

x= 41,940*0.000568182

x=23.83 yards

Hence the difference in their lengths is

=26.4-23.83

=2.57 yards

Answer:

It's 80 cm I believe

Step-by-step explanation:

Take your figure and divide it into different shapes, 2 triangles, one trapezoid. 5 x 4 = 20 for your triangles, and because you have 2, it's 20 x 2 which gives you 40, and then your trapezoid, 4 x 10 = 40 + 40 = 80

Answer: combine like terms and you get −2x

Step-by-step explanation:

\(\rm\red{\overbrace{\underbrace{\tt\color{gold}{\:\:\:\:\:\:\:\:Answer:\:\:\:\:\:\:\:\:\:}}}}\)

\( - 2x\)

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Answer:

Hope this helps!

Step-by-step explanation:

Mark brainliest?

Answer:

x = - 3, x = - 2

Step-by-step explanation:

Given

y = x² + 5x + 6

To find the x- intercepts let y = 0, that is

x² + 5x + 6 = 0 ← in standard form

(x + 3)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x + 2 = 0 ⇒ x = - 2

The x- intercepts in coordinate form are

(- 3, 0 ) and (- 2, 0 )

The xy-plane has a normal vector of 〈0, 0, 1〉, and any plane parallel to it will have the same normal vector.

Then the equation of the plane through (6, 3, 2) that is parallel to the xy-plane has equation

〈x - 6, y - 3, z - 2〉 • 〈0, 0, 1〉 = 0

==>   z - 2 = 0

==>   z = 2

Answer: The 1 because it’s value is The Thousands place.

Each Value Broken down and then Added together:

1000 + 500 + 60 + 7 = 1567

As you can visually see here the 1 is the greatest value number.

Answer:1

Step-by-step explanation: 1 takes place in the thousands place which is greater than 5 (hundreds) , 6 (tenths) , and 7 (ones)

The day, from the following two days, which would be the best to sell both stocks with the closing price is day 3 by an amount of $2.45.

Given are the closing prices of two stocks in three days.

If you purchase 65 shares of Metropolis stock and 50 shares of Suburbia stock on Day 1 at the closing price,

Amount invested = (65 × 17.95) + (50 × 5.63) = $1448.25

If the stock is sold in day 2,

Amount received = (65 × 18.25) + (50 × 4.98) = $1435.25

Profit = $1435.25 - $1448.25 = -$13

If the stock is sold in day 3,

Amount received = (65 × 18.28) + (50 × 5.25) = $1450.7

Profit = $1450.7 - $1448.25 = $2.45

The profit is more for day 3 than day 2.

Hence it is best to sell on day 3 by $2.45.

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Answer:

142.333....

Step-by-step explanation: just use a calculator

Answer:

142.34

Step-by-step explanation:

427 ÷ 3 = 142.34

good luck, i hope this helps :)

Answer:

1. zero

2. seven over eight

3. one over three

4. one

5. one over two

PLEASE GIVE BRAINLYIST!!

The quotient of the numbers are:

Recall the quotient of powers property which states that for a real number a and integers x and y, the following is true:

Divide the numbers (1.232÷3.85) and apply the quotient of powers property to the powers:

The quotient expressed in scientific notation is:

Therefore, the equation of the line that fits the given data points and goes through the red open point is approximately y = -0.0143x + 44.545.

In mathematics, slope is a measure of the steepness of a line. It is the ratio of the vertical change (rise) between two points on a line to the corresponding horizontal change (run) between those points. The slope of a line can be calculated by dividing the change in the y-coordinate of two points on the line by the change in the x-coordinate of those same points.

Here,

To find the slope of a line that fits the data points (1150,28) and (1500,23), we can use the formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the two points.

Substituting the given values, we get:

slope = (23 - 28) / (1500 - 1150) = -5 / 350 = -0.0143 (rounded to 4 decimal places)

Therefore, the slope of the line that fits the given data points is approximately -0.0143. To fit the line to the red open point, we need to find the y-intercept of the line using the point-slope form of the equation of a line:

y - y1 = m(x - x1)

where (x1, y1) is the point (1150,28) and m is the slope we just calculated.

Substituting the values, we get:

y - 28 = -0.0143(x - 1150)

Expanding and simplifying, we get:

y = -0.0143x + 44.545

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Answer:

5-4=12x+x

1=13x

1/13=×

The volume of each milkshake cup is given by

small cup = 50.24 square inches

medium cup =127.56 square inches

Large cup =226.08 square inches

Shape of the milkshake cups is cylindrical.

Formula used to calculate volume of each cup = πr²h

Where 'r' is the radius of cups.

And h is the height of the cups

Radius of small milkshake cup = 2in.

height of small cup = 4in.

Volume of the small cup = π × 2² × 4

                                         = 50.24 square inches

Radius of medium milkshake cup = 2.5in.

height of medium cup = 6.5in.

Volume of the medium cup = π × 2.5² × 6.5

                                         = 127.56 square inches

Diameter of large cup = 6in

Radius of large milkshake cup = 3in.

height of large cup = 8in.

Volume of the large cup = π × 3² × 8

                                         = 226.08 square inches

Therefore, the volume of each milkshake cup using given radius and height are as follow,

volume of small cup = 50.24 square inches

volume of medium cup =127.56 square inches

volume of Large cup =226.08 square inches

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The volume of the rectangular prism is 208cm³

Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface. The unit of volume is in cubic units such as m3, cm3, in3 etc. Sometimes, volume is also termed capacity.

The volume of a rectangular a prism is expressed as base area × height. The base area is a rectangle and the area of a rectangle is Length × width

length = 2cm

width = 13 cm

height = 8cm

base area = 13× 2 = 26cm²

Volume of the prism = 26× 8 = 208cm³

Therefore the volume of the rectangular prism is 208cm³.

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Answer:

6

58

Step-by-step explanation:

The diagonals of a rectangle are congruent and bisect each other.

JL = 2JN

5x + 18 = 2(3x + 6)

5x + 18 = 6x + 12

6 = x

x = 6

NL = NK

That makes triangle KNL an isosceles triangle with congruent sides NK and NL. Opposite angles of congruent sides are congruent.

m<NKL = m<NLK

Angles NLM and NLK are complementary.

m<NLM + m<NLK = 90

32 + m<NLK = 90

m<NLK = 58

m<NKL = m<NLK = 58

The radius of the cylinder is 8 inches.

Given,

In one design being considered for the container shaped like a cylinder, the container will have a height of 12 inches.

We need to find the radius of the container to the nearest 10th of an inch.

A cylinder is a three-dimensional solid that has two parallel bases joined by a curved surface, at a fixed distance.

The volume of a cylinder is given by:  π r² h.

The relation between the radius of the base and the height of a cylinder is that the ratio between the radius of the base and the height of a cylinder is 2:3.

We have,

The container will have a height of 12 inches.

The container is like a cylinder.

Height of the cylinder = 12 inches.

Using the relationship between radius and height of a cylinder.

= Radius: Height

= 2 : 3

Let radius be 2x and height be 3x.

We have,

Height = 3x = 12 inches.

Radius = 2x

Find the value of x.

3x = 12 inches

x = 12 / 3 inches

x = 4 inches.

Now,

Put x = 4 inches in radius =2x.

Radius = 2x

Radius = 2 x 4

Radius = 8 inches.

Thus the radius of the cylinder is 8 inches.

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Answer:

housing , savings and food

housing , food and transport

Answer:

food , transportation , and clothing

Step-by-step explanation: