Kristin wants to wrap a ribbon around the perimeter of a rectangle. The length is five less than twice the width. The perimeter is 56 inches. What are the dimensions?​

The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.

To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.

The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.

To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:

Impact on income = Loss - Avoidable costs

Impact on income = $205,000 - ($1,295,000 + $119,000)

Impact on income = $205,000 - $1,414,000

Impact on income = -$1,209,000

The negative sign indicates a decrease in income.

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Answer:

y = - 3x + 7

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 7) and (x₂, y₂ ) = (2, 1) ← 2 points on the line

m = \(\frac{1-7}{2-0}\) = \(\frac{-6}{2}\) = - 3

the line crosses the y- axis at (0, 7 ) ⇒ c = 7

y = - 3x + 7 ← equation of line

The equation of the line in fully simplified slope-intercept form is y = -2.8x + 7

The linear graph represents the given parameter

For the graph, we have the points

(0, 7) and (25, 0)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 7

Using the point (2.5, 0) on y = mx + 7, we have

m(2.5) + 7 = 0

2.5m + 7 = 0

Evaluate

m = -2.8

So, we have

y = -2.8x + 7

Hence, the equation of the line in fully simplified slope-intercept form is y = -2.8x + 7

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Answer:

8

Step-by-step explanation:

Considering the expression of a line, the price of the guitar in 2011 is $354.

A linear equation o line can be expressed in the form y = mx + b

where

Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope of the line can be calculated using:

m= (y₂ - y₁)÷ (x₂ - x₁)

Substituting the value of the slope m and the value of one of the points, the value of the ordinate to the origin b can be obtained.

Being:

the slope can be calculated as:

m= (300 - 246)÷ (2008 - 2005)

m= 54÷ 3

m= 18

Considering point 2 and the slope m, you obtain:

300= 18×2008 + b

300= 36,144 + b

300- 36,144 = b

-35,844 = b

Finally, the equation of the line is Price= 18×Year - 35,844

Now, you want to know the price of the guitar in 2011. Replacing in the linear equation, you get:

Price= 18×2011 - 35,844

Solving:

Price= 36,198- 35,844

Price= 354

In summary, the price of the guitar by 2011 is $354.

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The solution to the inequality 1 + 3r > 10 is r > 3.

This means that any value of r greater than 3 will satisfy the inequality.

To solve the inequality 1 + 3r > 10, we need to isolate the variable r on one side of the inequality sign.

Let's begin by subtracting 1 from both sides of the inequality:

1 + 3r - 1 > 10 - 1

This simplifies to:

3r > 9

Next, we can divide both sides of the inequality by 3 to solve for r:

(3r)/3 > 9/3

This simplifies to:

r > 3

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Answer: The answer is 0.4

Step-by-step explanation:

Since you're subtracting fractions, we will get a decimal. Fractions are not whole numbers.

Answer:

4/9

Step-by-step explanation:

I think

Answer:

a) r(t) = (10, 5, -5) + (5, 5, 0)*t

b) (0, -5, -5)

Step-by-step explanation:

a) 2x + 4 -2y -5 = -3z -6

2x - 2y +3z +5 =0

(10, 5, -5)

(15, 10, -5)

(5, 5, 0)

r = (10, 5, -5) + (5, 5, 0)*t

b) The yz plane is given by the equation x = 0.

x = 0  in the vector equation of a straight line if and only if  t = -2, than r ( - 2) = (0, -5, -5) is the desired intersection point.

i dont know how to answer lol

Answer: what you want us to do with this

Step-by-step explanation:

If the regular-sized drink is the same size as the super-sized drink, and the mini-sized drink is the same size as the regular-sized drink, then a super-sized drink can be divided into 2 regular-sized drinks or 4 mini-sized drinks.

Let's call the size of the mini-sized drink "M", the size of the regular-sized drink "R", and the size of the super-sized drink "S".

From the problem statement, we know that:

R = S (the regular-sized drink is the same size as the super-sized drink)

M = R (the mini-sized drink is the same size as the regular-sized drink)

To find out how many regular-sized drinks are in a super-sized drink, we can divide the size of the super-sized drink by the size of the regular-sized drink:

S / R = 1 (since R = S)

So a super-sized drink is equal to 1 regular-sized drink.

To find out how many mini-sized drinks are in a regular-sized drink, we can divide the size of the regular-sized drink by the size of the mini-sized drink:

R / M = 1 (since M = R)

So a regular-sized drink is equal to 1 mini-sized drink.

Therefore, a super-sized drink can be divided into 2 regular-sized drinks (since 1 super-sized drink = 2 regular-sized drinks) or 4 mini-sized drinks (since 1 super-sized drink = 2 regular-sized drinks = 4 mini-sized drinks).

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The angle measure of the minor arc is 62°

A circle is the locus of a point such that its distance from a fixed point (center) is always constant.

The diameter is the length of the line that passes through the center circle touching two points on the circle's circumference.

The arc of a circle is the part or segment of the circumference of a circle.m∠EFG = minor arc EGminor arc EG = 62°

The measure of the arc is 62°

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Answer:

32

Step-by-step explanation:

Equivlency:

3072/96 =32

Answer:

Y=1/4x-4

Explanation: The y intercept is -4 that is your B. Using the rise over sun method the line rises 1 and goes to the right 4 making the slope 1/4 or .25

Answer:

either 20 or 21

Step-by-step explanation:

i think you just cross multiply like 1/60=x/1220

x=20.3 but you cant have part of a faculty member, so i believe its 20

(=^w^=)

The answer is -77

Sorry if it is wrong but this is what I got

Step-by-step explanation:

this is a combined event.

a probability is always the ratio

desired outcomes / totally possible outcomes

in our experiment with rolling 2 dice we have totally 6×6 = 36 different outcomes.

from these 36 total possibilities we desire the following (sum is less than or equal to 8, one die has to show a 6) :

6 1

6 2

1 6

2 6

that is 4 desired outcomes.

and the probabilty for this is

4/36 = 1/9 = 0.111111111...

in mathematical terms we could say :

one possible scenario is one die is 6, and the other is either 1 or 2.

the probability for one die to show 6 is

1/6

the probability for one die to show 1 or 2 is

2/6.

the probabilty for the combination is then

1/6 × 2/6 = 2/36 = 1/18

how many different combinations can we have ?

well, with 2 dice we have 2 such possible combinations.

therefore, the probability is

2 × 1/18 = 2/18 = 1/9.

Answer:

7

Step-by-step explanation:

700/100

Answer:

A. 22.5

Step-by-step explanation:

Apply Trigonometric function.

Reference angle = 64°

Opposite side to 64° = x

Hypotenuse = 25

Apply SOH:

Sin 64 = Opp/Hyp

Sin 64 = x/25

25 × Sin 64 = x

22.4698512 = x

x = 22.5 (nearest tenth)

A polynomial function f(x) of degree 3 with given zeros, 2, -3 , 5 and condition f(3)=6 is given by f(x) = -1/2 (x-2)(x+3)(x-5).

Degree of the polynomial function is equal to 3.

Zero's of the polynomial function is equal to 2, -3 , 5 .

And f(3) = 6

If 2, -3, and 5 are zeros of f(x), then we can write function as,

f(x) = a(x-2)(x+3)(x-5)

where a is some constant.

To determine the value of a, we can use the fact that f(3) = 6.

Substituting x = 3 into the equation above, we get,

f(3) = a(3-2)(3+3)(3-5)

     = -12a

Here we have,

f(3) = 6, so we can set these two expressions equal to each other and solve for a,

⇒ -12a = 6

⇒ a = -1/2

Now we can substitute this value of a back into the equation for f(x) that we found earlier,

⇒ f(x) = -1/2 (x-2)(x+3)(x-5)

Therefore, a polynomial function f(x) of degree 3 with zeros 2, -3, 5, and f(3) = 6 is equal to f(x) = -1/2 (x-2)(x+3)(x-5).

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Based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.

To determine whose purple paint will be redder based on the percent of red paint, we need to compare the ratios of red paint to the total paint used by Isaiah and Casho.

Isaiah's Ratio:

Isaiah mixes 3 cups of blue paint and 7 cups of red paint, making a total of 3 + 7 = 10 cups of paint.

To calculate the percent of red paint, we divide the amount of red paint (7 cups) by the total amount of paint (10 cups) and multiply by 100 to get the percentage:

Red paint percentage for Isaiah = (7 cups / 10 cups) * 100 = 70%

Casho's Ratio:

Casho mixes 4 cups of blue paint and 13 cups of red paint, making a total of 4 + 13 = 17 cups of paint.

To calculate the percent of red paint, we divide the amount of red paint (13 cups) by the total amount of paint (17 cups) and multiply by 100 to get the percentage:

Red paint percentage for Casho = (13 cups / 17 cups) * 100 = 76.47% (rounded to two decimal places)

Comparing the percentages, we can see that Casho's purple paint will be redder because Casho's paint has a higher percentage of red paint (76.47%) compared to Isaiah's paint (70%).

Therefore, based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.

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Answer:

The calculated  value Z = 3.775 > 1.96 at 0.05 level of significance

Null hypothesis is rejected

The Two Population proportion are not equal

Step-by-step explanation:

Given first sample size n₁ = 677

First sample proportion

                             \(p^{-} _{1} = \frac{x_{1} }{n_{1} } = \frac{172}{677} = 0.254\)

Given second sample size n₂ = 3377

second sample proportion

                             \(p^{-} _{2} = \frac{x_{2} }{n_{2} } = \frac{654}{3377} = 0.1936\)

Null Hypothesis : H₀ :  p₁ = p₂.

Alternative Hypothesis : H₁ :  p₁ ≠ p₂.

      Test statistic

                \(Z = \frac{p_{1} ^{-}-p^{-} _{2} }{\sqrt{P Q(\frac{1}{n_{1} } +\frac{1}{n_{2} }) } }\)

where

        \(P = \frac{n_{1} p_{1} + n_{2} p_{2} }{n_{1}+n_{2} } = \frac{677 X 0.254+3377 X 0.1936}{677+3377}\)

       P =  0.2036

      Q = 1 - P = 1 - 0.2036 = 0.7964

         \(Z = \frac{0.254- 0.1936 }{\sqrt{0.2036 X 0.7964(\frac{1}{677 } +\frac{1}{3377 }) } }\)

        Z =  3.775

Critical value ∝=0.05

Z- value = 1.96

The calculated  value Z = 3.775 > 1.96 at 0.05 level of significance

Null hypothesis is rejected

The Two Population proportion are not equal

Answer:

k=0

Step-by-step explanation:

R(x)=kx-2x²

R(1/4)=k(1/4)-2(1/4)²=k/4-1/8

R(-1/4)=k(-1/4)-2(-1/4)²=-k/4-1/8

R(1/4)=R(-1/4)

k/4-1/8=-k/4-1/8

k/4+k/4=1/8-1/8

2k/4=0

2k=0

k=0

Answer:

60 tiles

Step-by-step explanation:

Make equations equal,

.99x + 24 = 1.39x

Move all terms containing  x  to the left side of the equation & subtact 24

-.4x = -24

Divide

x = 60

Double check:

.99(60) + 24 = 83.4

1.39(60) = 83.4

i hope this helps :)

Answer:

4.25 mph i think

Step-by-step explanation:

4x 3 =12

1/4 x 4 = 1

12 + 1 = 13

Ones is the place value of the digit 6 in the number 2,016 and 6 is the face value of the digit 6 in the number 2,016.

Given, a number 2,016

we have to find the place and face value of 6 in the given number 2,016.

So, the Place value of 6 in the given number is ones.

Ones is the place value of the digit 6 in the number 2,016

Also, the Face value of 6 in the given number is 6.

6 is the face value of the digit 6 in the number 2,016

Hence, Ones is the place value of the digit 6 in the number 2,016 and 6 is the face value of the digit 6 in the number 2,016.

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see the attached sheet .

I hope it helps you !.

Answer:

Step-by-step explanation:

A' (2,-3)

B' (5,-5)

C' (7,-3)

D' (5,-2)

Answer:

A' (2,-3)

B' (5,-5)

C' (7,-3)

D' (5,-2)

Step-by-step explanation:

Answer:

A tangent is a line that touches the curve or a circle at a point..

Answer:

x = 9.9 in.

Step-by-step explanation:

area of triangle = base * height /2

49 = x*x /2

49*2 = x^2

98 = x^2

\(\sqrt{98}\) = x

\(7\sqrt{2}\) = x

9.9 = x

Answer:

100

Step-by-step explanation: