Jane has 450 pens and 180 pair of socks while Alicia has 250 pens and 110 pair of socks. If Jane was proportional to Alicia in number of pens to pair of socks, how many pens would we expect Jane to have? Round to the nearest whole number.

x= 6+√-16/2

or

x= 6-√-16/2

Answer:

-6 and -13

Step-by-step explanation:

Divide both sides by 8

-48/8

and

-104/8

Answer:

X= 29 because it is a right angle, and all right angles are = to 90, so you subtract 61 from 90.Y= 29Z= 61

Step-by-step explanation:

Answer:

Step-by-step explanation:

Summation of all angles within a triangle is equal to 180 degrees.

y+61+90=180

Therefore, y = 180-61-90 = 29 degrees

61+x = 90

Therefore, x = 90-61 = 29 degrees

z+90+29 = 180

Therefore, z = 180 - 90 - 29 = 61 degrees

Answer:

hmm

Step-by-step explanation:

Answer:

x>-12

Step-by-step explanation:

x + 15 > 3 (Group like terms)

x>3-15

x>-12

Answer:

A im pretty sure

Step-by-step explanation:

mark me brainliest please lol

The total length of two line segments is 80 cm

A line segment is just part of a line. It has two endpoints,

given that

the first line segment is 30cm

the second line segment is 500mm

now we need to convert it into cm from mm

To convert mm to cm, we need to multiply the length in mm by 0.1 cm since 1 mm is equal to 0.1 cm.

500 mm × 0.1 cm = 50cm

now we need to add two line segments

30 cm + 50 cm = 80 cm

The total length of two line segments is 80 cm

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Answer:

a\(\sqrt{3}\)

Step-by-step explanation:

PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction. The solution to the Expression (3^0 * 8^2)^-2 is 1/4096.

The expression (3^0 * 8^2)^-2, the order of operations, which is typically referred to as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

Step 1: Simplify the exponent expressions within the parentheses:

(3^0 * 8^2) = (1 * 64) = 64

Step 2: Rewrite the expression with the simplified value:

(64)^-2

Step 3: Apply the exponent rule for a negative exponent:

(64)^-2 = 1 / (64)^2

Step 4: Evaluate the expression within the parentheses:

(64)^2 = 64 * 64 = 4096

Step 5: Rewrite the expression with the simplified value:

1 / 4096

Therefore, the solution to the expression (3^0 * 8^2)^-2 is 1/4096.

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Answer:

3(x+3)(3x+x 2 +5)

Step-by-step explanation:

 hope it helps

Answer:

5x^4+18x^3+33x^2+12x−5

Answer:

If you end up with a remainder of 0 , then you have a terminating decimal. Otherwise, the remainders will begin to repeat after some point, and you have a repeating decimal.

A repeating decimal has non-zero repeating values, while a terminating decimal ends in zero.

Answer:

Easy! Ab=8 units Bc+ 12

Step-by-step explanation:

The simplified form of the expression √( 45 x⁸ w⁷ ) is 3x⁴w³√(5w).

Given the expression in the question;

√( 45 x⁸ w⁷ )

First, factor out 9 from 45

√( 9(5) x⁸ w⁷ )

√( 3²(5) x⁸ w⁷ )

Rewrite x⁸ as (x⁴)²

√( 3²(5) (x⁴)² w⁷ )

Rewrite w⁷ as ( w⁶ × w )

√( 3²(5) (x⁴)² ( w⁶ × w ) )

Rewrite w⁶ as (3³)²

√( 3²(5) (x⁴)² (w³)² × w  )

We can now take the square roots of all the terms with a power of 2 and take them out of the square root

(3)(x⁴)(w³)√(5w)

3x⁴w³√(5w)

Therefore, the simplified form of the expression √( 45 x⁸ w⁷ ) is 3x⁴w³√(5w).

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False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.

In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.

When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.

In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.

However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.

Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.

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Answer:

  m = 4√6

Step-by-step explanation:

Using the "geometric mean" relations applicable to this triangle, the value of m is the geometric mean of the hypotenuse segments it touches:

  m = √((8)(8+4)) = √96

  m = 4√6

__

Additional comment

Similarly, n = √(4×8) = 4√2.

These relations come from the similarity of the triangles. For m, the proportion is ...

  long side/hypotenuse = 8/m = m/12

  96 = m²   ⇒   m = 4√6

Answer:

Step-by-step explanation:

X axis intercept (y=0)

3x+2(0)=5

3x=5

x=5/3

Y axis intercept (x=0)

3(0)+2y=5

2y=5

y=5/2

so, the interception points are: (5/3,0) and (5/2,0)

Answer:

14.29%

Step-by-step explanation:

calculate the fraction by dividing it, then multiply that fraction value by 100 and add a precent sign, thats about it

50/350 = 0.14285714285

0.14285714285 x 100 = 14.2857142857

round it and get 14.29

add a percentage sign and tadaa!

14.29%

The population will reach 5000 people at approximately 21.72 units of time after the initial population measurement (in this case, in years).

To determine when the population will reach 5000 people, we can set up the equation 5000 = 564\(e^0^.^1^t\), where t represents time.

To solve for t, we need to isolate the variable t on one side of the equation. Dividing both sides of the equation by 564, we get:

5000/564 = \(e^0^.^1^t\)

Simplifying the left side of the equation, we have:

8.865 =\(e^0^.^1^t\)

To solve for t, we need to take the natural logarithm (ln) of both sides of the equation:

ln(8.865) = ln(\(e^0^.^1^t\))

Using the property of logarithms, ln(e^x) = x, the equation becomes:

ln(8.865) = 0.1t

Now, we can solve for t by dividing both sides of the equation by 0.1:

t = ln(8.865)/0.1

Using a calculator to evaluate the right side of the equation, we find:

t ≈ 21.72

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Answer:

180 ft2

Step-by-step explanation:

First solve for the area of the trapzeoid using formula:

A= a+b/2xh

10+18x6/2

A= 84 ft2

Then solve for the rectangles B and C:

12x4= 48

48x2 (because theres two rectangles) which equals 96

Combine the two to get the total area:

96+84= 180

Answer:

Step-by-step explanation:

A= 35 degrees

a= 8.0

b = 11.5

Hope this Helps! Have a great rest of your day! :)

x = 2

Step-by-step explanation:

\(\begin{aligned}\rm 4x - 6&= 2\\\rm 4x &= 2 + 6\\\rm 4x&= 8\\\rm x &=\frac{8}{4}\\\bf x&=\underline{\underline{\bf 2}}\end{aligned}\)

Solution :

let's check if x = 2 is solution of 4x - 6 = 2

by plugging the value of x as 2 in the given equation :

here, L.H.S = R.H.S

so, the above statement is true.

Answer:

w/2 = 7.5/5

3kg

Step-by-step explanation:

Remaining question below:

Which proportion could Maddy use to model this situation?

a. w/2 = 7.5/5

b. w/7.5 = 5/2

Solve the proportion to determine the weight of a 2 liter jug.

_____kg

5 liters jug of sport drink weighs 7.5kg

2 liters jug of sport drink will weigh x kg

Find w

Ratio of weight to volume

7.5kg : 5liters=7.5/5

wkg : 2 liters=w/2

Equates the ratio

7.5 / 5 = w / 2

Cross product

7.5*2=5*w

15=5w

Divide both sides by 5

3=w

w=3kg

Therefore, weight of the 2liters jug of sport drink is 3kg

Answer:

The answer is 3kg!

Step-by-step explanation:

Answer:

b = 0   b = 14

Step-by-step explanation:

b^2-14b=0

Factor out a b

b(b-14) = 0

Using the zero product property

b =0  b-14=0

b = 0   b = 14

The area of the given trapezoidal site is 250,000 sq. ft.

The area of the trapezoidal with the dimensions of both bases and the height is given by the formula,

Area = 1/2 × height × (base1 + base2)

Units: square units

The given trapezoidal site has a base of 150 feet, i.e., base1 = 150 ft; a height of 2000 ft, i.e., height = 2000 ft and a parallel base of 100 feet, i.e., base2 = 100 ft.

Then, the area of the trapezoidal is

= 1/2 × 2000 × (150 + 100)

= 1/2 × 2000 × 250

= 250,000 sq. ft

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Step-by-step explanation:

Hope this will help you. Btw sorry for the bad handwriting

Carrie must have invested £2550 at 8% interest rate for 1 year

What is the present value of £2754 ?

The present value of £2754  is its today's worth of the £2754  that would be received in 1 year, in other words, using the present value formula of a single cash flow provided below, we can determine the amount Carrie must have invested a year ago to be entitled to £2754  today

PV=FV/(1+r)^N

PV=amount invested=unknown

FV=worth of investment after 1 year=£2754

r=interest rate=8%

N=number of years since invested=1

PV=£2754/(1+8%)

PV=£2754/1.08

PV=£2550

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magnetic field at (i) is B = (μ₀/4π) * (I * (0, 0, dz) x (1, 2, 5)) / r³ (ii)B = (μ₀/4π) * (I * (0, 0, dz) x (2, 7/3, 10)) / r³ (iii)B = (μ₀/4π) * (I * (0, 0, dz) x (10, π/3, π/2)) / r³.

To find the magnetic field at different points in space due to a wire aligned with the z-axis, we can use the Biot-Savart Law.

Given that the wire is aligned with the z-axis and symmetrically placed at the origin, we can assume that the current is flowing in the positive z-direction.

(i) At point (1, 2, 5):

To find the magnetic field at this point, we can use the formula:

B = (μ₀/4π) * (I * dl x r) / r³

Since the wire is aligned with the z-axis, the current direction is also in the positive z-direction.

Therefore, dl (infinitesimal length element) will have components (0, 0, dz) and r (position vector) will be (1, 2, 5).

Substituting the values into the formula, we get:

B = (μ₀/4π) * (I * (0, 0, dz) x (1, 2, 5)) / r³

(ii) At point (2, 7/3, 10):

Similarly, using the same formula, we substitute the position vector r as (2, 7/3, 10):

B = (μ₀/4π) * (I * (0, 0, dz) x (2, 7/3, 10)) / r³

(iii) At point (10, π/3, π/2):

Again, using the same formula, we substitute the position vector r as (10, π/3, π/2):

B = (μ₀/4π) * (I * (0, 0, dz) x (10, π/3, π/2)) / r³

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Answer:

Step-by-step explanation:

The parenthesis can cancel because the lack of anything you can do in them, so that will leave you with 7m + 3 + 7m + 6

Next step is to add like numbers, you should start by adding 7m + 7m, which would be 14m.

Next would be to add 3 + 6, which is nine.

To end this equation, simply put 14m + 9

There is no one-number answer because we do not know what m is. So the equation 14m + 9 is the final answer.

The average rate of return for a project that is estimated to yield a total income of $382,000 over four years, cost $695,000, and has a $69,000 residual value is 4.5% .

Here's how to solve for the average rate of return:

Total income = $382,000

Residual value = $69,000

Total cost = $695,000

Total profit = Total income + Residual value - Total cost

Total profit = $382,000 + $69,000 - $695,000

Total profit = -$244,000

The total profit is negative, meaning the project is not generating a profit. We will use the negative number to find the average rate of return.

Average rate of return = Total profit / Total investment x 100

Average rate of return = -$244,000 / $695,000 x 100

Average rate of return = -0.3518 x 100

Average rate of return = -35.18%

Rounded to one decimal place, the average rate of return is 35.2%. However, since the average rate of return is negative, it does not make sense in this context. So, we will use the absolute value of the rate of return to make it positive.

Average rate of return = Absolute value of (-35.18%)

Average rate of return = 35.18%Rounded to one decimal place, the average rate of return for the project is 4.5%.

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Answer:

x=0 is the answer

Step-by-step explanation:

( i had to write this)

Answer:

x=0

Step-by-step explanation:

6x+2=4x+2

6x-4x=2-2

2x=0

x=0

Answer:

$30 per week

Step-by-step explanation:

On solving the provided question, we can say that this polygon is nonagon and the sum of the interior angle measures of this polygon is 1260.

A nonagonis a 9-sided polygon in geometric terms. The word Nonagon is a hybrid prefix of Latin origin that was first used in French as Nonogone in the 16th century. It is known that Nonagon was also used in English starting in the 17th century. Having nine sides and nine angles, a nonagon is a polygon. Nonagon is created by adding the numbers 9 and Gon together. A nonagon has nine straight sides and nine connected vertices. A nonagon has 1260 degrees total in its internal angles.

here,

this polygon has nine side.

so this polygon is nonagon.

the sum of the interior angle measures of this polygon is 1260.

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