Samantha has chickens and sheep on her farm. Each chicken has two legs and each sheep has four legs. Each chicken has one head and each sheep has one head. She looked out one day and counted 48 animal heads and 134 legs. How many of each animal live on the farm?

The inequality representing this problem is: s ≥ 122 the minimum number of t-shirts Esin needs to sell to make a profit is 122

To determine the minimum number of t-shirts Esin needs to sell to make a profit, we can set up an inequality that represents the cost and revenue involved.

Let's consider the cost and revenue components:

Cost:

Esin spent $2500 to purchase supplies initially. Additionally, she uses about $4.50 worth of supplies per t-shirt printed. So the total cost (C) for printing s t-shirts can be expressed as:

C = 2500 + 4.50s

Revenue:

Esin charges $25 for each t-shirt sold. The revenue (R) from selling s t-shirts can be expressed as:

R = 25s

To make a profit, the revenue should be greater than or equal to the cost. Therefore, the inequality representing the profit condition is:

Revenue ≥ Cost

25s ≥ 2500 + 4.50s

Simplifying the inequality:

25s - 4.50s ≥ 2500

20.50s ≥ 2500

Dividing both sides of the inequality by 20.50:

s ≥ 2500 / 20.50

Calculating the minimum number of t-shirts Esin needs to sell to make a profit:

s ≥ 121.95

Since the number of t-shirts must be a whole number, we round up to the nearest whole number. Therefore, the minimum number of t-shirts Esin needs to sell to make a profit is 122.

The inequality representing this problem is:

s ≥ 122

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Answer:

11/7

Step-by-step explanation:

(44-22)/(28-14)

= 22/14

= 11/7

hope this helped!

Answer:

y2-y1/ x2-x1 use this formula for solving questions

The total cost of materials and labor for the office space, considering a tile unit cost of P300 and labor cost equal to the materials cost, amounts to P63,000.

To calculate the total cost of materials and labor, we first need to determine the cost of the tiles. Given that the unit cost of a certain tile is P300, we can multiply this by the area of the office space to find the total cost of the tiles. The office space has an area of 63 sqm, so the total cost of the tiles is P300 * 63 = P18,900.

Next, we need to calculate the labor cost, which is 100% of the materials cost. Since the materials cost is P18,900, the labor cost will be equal to P18,900. Therefore, the total cost of labor is also P18,900.

To find the total cost of materials and labor, we add the cost of the tiles (P18,900) and the labor cost (P18,900): P18,900 + P18,900 = P37,800.

Therefore, the total cost of materials and labor for the office space is P37,800.

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Answer: i might be wronge but 9x - 4 / x^2

Step-by-step explanation:

The maximum that the company can expect for returned items is C. $5972.65

From the information, the average daily profit of an electronics store is $31,435 and the company estimates that 15% is lost each day to returns, with a margin of error of ±4%.

In a random survey sample, a margin of error is a statistical measurement that takes into account the discrepancy between actual and anticipated findings. Simply said, you may determine the degree of unpredictability in data and research results using the margin of error.

The maximum the company can expect for returned items will be:

= (15% + 4%) × Profit

= 19% × $31,435

= 0.19 × $31,435

= $5972.65

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Answer: .15 Cents

Hope this helps :)

In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).

A normally distributed phenomenon using standard nomenclature can be described as follows:

A dataset is said to be normally distributed if it follows a bell-shaped curve, which is symmetrical around the mean (µ) and characterized by its standard deviation (σ). In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).

For example, if we consider the heights of adult males in a large population, we may observe that the distribution is normally distributed with a mean height (µ) of 175 cm and a standard deviation (σ) of 10 cm. In this case, the nomenclature for this normally distributed phenomenon would be N(175, 100), as the variance is \(10^2 = 100\).

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Answer: D

Step-by-step explanation:

Because 120 is the amount he already has know u need to see what x is and times that by 6 because it’s how many weeks.

Oh and when people send links as answeres there hackers.

Answer:

Step-by-step explanation:

If Sam has 120 dollars in his account and he wants to save the same amount each week

let x be the amount he wants to save each week

the expression will be

120+6x

Answer:

4/5, 0.8 decimal form

Step-by-step explanation:

Hope this helps

Answer:

The first two

Step-by-step explanation:

graph the parabola to see

Answer:

Step-by-step explanation:

Rate of change is same for each step:

Slope is:

Rate of change is same for each step:

Slope is:

Rate of change is same for each step:

Slope is:

Rate of change is same for each step:

Slope is:

The surface area of the cuboid is 3.286 cm²

A cuboid is a solid shape or a three-dimensional shape.

Surface area is the amount of space covering the outside of a three-dimensional shape.

The surface area of a cuboid is expressed as;

SA = 2( lb + lh + bh)

length = 1 2/5 = 7/5

breadth = 5/8

height = 3/8

lb = 7/5 × 5/8 = 7/8

bh = 5/8 × 3/8 = 15/64

lh = 7/5 × 3/8 = 21/40

surface area =2( 7/8 + 15/64+21/40)

= 2( 0.875 + 0.234 + 0.525)

= 2( 1.634)

= 3.268 cm²

The surface area of the cuboid is 3.268 cm²

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(a) The firm's output supply function is given by q = (p + 199) / 2.

(b) The market-equilibrium price is $32.56, and the equilibrium number of firms is 10.

(c) Each firm sells 70 computers in the long run.

(39 - 0.009q) = (2q - 2) / q

Simplifying the equation, we find:

q = (p + 199) / 2

This represents the firm's output supply function.

p = 39 - 0.009((p + 199) / 2)

Simplifying and solving for p, we get:

p ≈ $32.56

Substituting this price back into the output supply function, we find:

q = (32.56 + 199) / 2 ≈ 115.78

Given that each firm produces 70 computers in the long run, we can calculate the equilibrium number of firms:

Number of firms = q / 70 ≈ 10

70 * 10 = 700

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When Shannon filled a rectangular 10/279 cm by 10/178 dish with water, the area is B) 178/10 x 279/10 = A and A / 178/10 = 279/10

It should be noted that in order to make the paper, Shannon filled a rectangular 10/279 cm by 10/178 dish with water and then they gently swirled paint on top of the water.

Therefore, the area of the rectangular paper as illustrated will be calculated by multiplying the dimensions given. This will be:

Area = Length × Width

Area = 10/279 × 10/178

Therefore, based on the information, it should be noted that the correct option is B.

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Answer:

b and d

Step-by-step explanation:

The ordered pairs for the system of equations f(x) = x^2 -2x + 3 and f(x) = -2x + 12 are (3, 6) and (-3, 18)

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x2 is a non-zero term(a ≠ 0)

f(x) = x^2 -2x +3 and f(x) = -2x + 12

which means

x^2 -2x +3  = -2x + 12

x^2 -2x +3  + 2x - 12 = 0

x^2 -9 = 0

by factorizing we have

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

x = 3 or -3

when x = 3

f(x) = -2x + 12

f(3) = -2(3) + 12 which is 6

when x = -3

f(-3) = -2(-3) + 12 which is 18

ordered pairs are (3, 6) and (-3, 18)

In conclusion, (3, 6) and (-3, 18) are the ordered pairs

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The angle between vectors u and v is approximately 43.7 degrees to the nearest tenth of a degree.

To find the angle between two vectors, we can use the dot product formula and the magnitude of the vectors. The dot product of two vectors u and v is given by:

u · v = |u| |v| cos(theta)

where |u| and |v| are the magnitudes of vectors u and v, respectively, and theta is the angle between the vectors.

Given vectors u = <6, 4> and v = <7, 5>, we can calculate their magnitudes as follows:

|u| = sqrt(6^2 + 4^2) = sqrt(36 + 16) = sqrt(52) ≈ 7.21

|v| = sqrt(7^2 + 5^2) = sqrt(49 + 25) = sqrt(74) ≈ 8.60

Next, we calculate the dot product of u and v:

u · v = (6)(7) + (4)(5) = 42 + 20 = 62

Now, we can substitute the values into the dot product formula:

62 = (7.21)(8.60) cos(theta)

Solving for cos(theta), we have:

cos(theta) = 62 / (7.21)(8.60) ≈ 1.061

To find theta, we take the inverse cosine (arccos) of 1.061:

theta ≈ arccos(1.061) ≈ 43.7 degrees

Therefore, the angle between vectors u and v is approximately 43.7 degrees to the nearest tenth of a degree.

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Based on the fact that the rational number given should be expressed as a decimal, the decimal is 0.80.

The given rational number is 4/5.

To express this rational number as a decimal, you need to divide the numerator by the denominator.

The decimal is therefore:

= 4 ÷ 5

= 0.80

In percentage form, this would then be 80%.

The full question is:

Expressing rational numbers as decimals:

Express the following rational number as decimals: 4/5​.

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Answer:

Step-by-step explanation:

The formula for the area of a circle is:

A = πr^2

where A is the area, π (pi) is approximately 3.14, and r is the radius.

Substituting the given radius of 17 inches into the formula, we get:

A = 3.14 × 17^2

A = 3.14 × 289

A = 907.06

Therefore, the area of the circle is approximately 907.06 square inches.

Answer:

907.46

Step-by-step explanation:

Area of a circle formula is πr^2

It says the radius is 17

**Simplify**

(3.14)(17)^2=907.46

Answer:

10t + 20

Step-by-step explanation:

Answer:

the overall verical change is down 296 feet

Step-by-step explanation:

-296+140= -156

-156-140=-296

Answer:

Zeros are x = 1.5, -2.5

Step-by-step explanation:

Given function is,

F(x) = 4x² + 4x - 15

      = 4(x² + x - 3.75) [Since, intercept form of a quadratic equation is the factored form of the function]

F(x) = 4(x² + 2.5x - 1.5x - 3.75)

      = 4[x(x + 2.5) - 1.5(x + 2.5)]

      = 4(x - 1.5)(x + 2.5)

For 'x' intercepts,

f(x) = 0

4(x - 1.5)(x + 2.5) = 0

x = 1.5, -2.5

Therefore, zeros of the given function are x = 1.5, -2.5.

Answer:

Please check the format of the equation in the question.

Step-by-step explanation:

7x (5-98) ^4 = x +2

I will assume that the x in "7x" is the variable x, and not the multiplication sign.  The expression (5-98)^4 is a bit odd, so please check.  I'll assume it is correct.

7x (5-98) ^4 = x +2

7x (-93) ^4 = x +2

7x (74805201) = x +2

523636407x = x+2

523636406x = 2

x = 2/(523636406)

This seems to be an extraordinarily odd number, but that's the solution to

7x (5-98) ^4 = x +2

Since y varies directly with x then

So,

Then, 1/4 is the constant of proportionality. So that,

Answer:

the answer to question a is 24

the answer to question b is 8

Answer:

15.4269444444

Step-by-step explanation:

Answer:

18+3x=24

3x=24-18

3x=6

x=6÷3

x=2

Answer:

Hope it's not too late

Step-by-step explanation:

Also hope this helps :)

Line perpendicular to a given line is = 1/m

To find m, use m =y2-y1/x2-x1 formula

m = (8-(-3))/(-7-4)

m = 11/-11,

m = -1

Use y= mx+c to find equation of line

Plug in a pair of values,

-3= -1(4)+ c

c= 1

Thus, equation is:

y = -x+1

Equation of line perpendicular to this line is:

y= x+1

Hope it helps :)

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