Write two expressions for the perimeter of the figure.
2
8
4x
4
7x
Note: The figure is not drawn to scale.
(a) Use all five side lengths.
perimeter = 0+0+0+0+0
(b) Simplify the expression from part (a).
perimeter =

The required total cost of packaging each comforter is $89.20.

Activity estimated indirect activity costs allocation base estimated quantity of allocation base,

materials handling $ 12,600 number of parts 4,200 parts

Cost per part = $ 12,600/4,200 =  $3

assembly$ 55,440 number of parts 4,200 parts,

Cost per part = $ 55,440/4,200 =  $13.20

packaging $10,920 number of comforters 1,050 comforters each comforter consists of 4 parts

Cost per part =$10,920 /1,050 = $10.40

Then, For all cost of 4 parts,

Materials handling = ($3 x 4) = $12

Assembly = ($13.20 x 4) = $52.80

Packaging = ($10.40 x 1) = $10.40

Total overhead cost = $75.20

And Direct materials cost = $14.00

So, total manufacturing cost =  $75.20 + $14.00 =  $89.20

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Answer:

Step-by-step explanation:

m% = m/100

what = a variable ... "x". for example.

"is" means "="

"of" means multiply

n = (m/100)•x

The  718.85 < x  inequality says that : He must print 719 photos or more.

Given,

In the question:

Rick bought a photo printer and supplies for $186. 90, which will allow him to print photos for $0. 29 each.

and, A photo store charges $0. 55 to print each photo.

To find the how many photos must Rick print before his total cost is less than getting prints made at the photo store?

Now, According to the question:

Let the photos be x

Rick bought a photo printer be $186.90

A photo store charges $0. 55 to print each photo.

The question is based on inequality:

Photo Printer <  photo store

1.86.90 + 0.29x <  0.55x

            - 0.29x     - 0.29x

______________________

 1.86.90    < 0.26x

Divide by 0.26x on both sides

= 718.85 < x

Hence, The  718.85 < x  inequality says that : He must print 719 photos or more.

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Assuming timmy completes all chores, the number of dollars timmy will have 7 weeks after his birthday is 85 dollars.

In mathematics, an equation is a claim that two expressions are equivalent. It is a mathematical expression that employs the equals symbol, "=", to indicate that two quantities have values that are equal. Problems in algebra, geometry, calculus, and other branches of mathematics are frequently solved using equations. In algebra, equations are frequently used to depict the connection between variables and constants, as well as to discover the value of an unknown variable. For example, the equation x + 2 = 5 may be utilised to get the value of x, which is 3. Equations can be linear, quadratic, or higher-degree, and they can involve multiple variables.

How to solve?

Let x be the number of weeks after Timmy's birthday.

The total number of dollars Timmy will have after x weeks is 50 + 5x.

Therefore, Timmy will have 50 + 5(7) =85 dollars after 7 weeks

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An equation in slope-intercept form of the line that is parallel to the one given and passes through the given point is  y=7x+5.

x - axis interception points of [tex]$7 x+5: \quad\left(-\frac{5}{7}, 0\right)$[/tex]

y - axis interception point of [tex]$7 x+5: \quad(0,5)$[/tex]

X-Intercepts: [tex]$\left(-\frac{5}{7}, 0\right)$[/tex], Y Intercepts: (0,5)

Slope of [tex]$7 x+5: \quad m=7$[/tex]

Steps

7x+5

What is line equation?

For a line equation for the form of y=m x+b, the slope is m. m=7

The first step to answering this question is to find the slope of the first line. To do that, we need to put it in slope-intercept form.

y=7x+5  => y=7x+5

So the slope of this line is 7. Perpendicular lines have a negative reciprocal slope, so the slope of the perpendicular line is 7. Using that and the point (1,3) we can make an equation for the line in point-slope form:  We can then convert this into slope intercept form.

=> y=7x+5

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Answer:

D

Step-by-step explanation:

the numerator of the exponent is the exponent of x

the denominator is the the index of the root

Answer:

yes seems like you understand

Answer:

yes

Step-by-step explanation:

yes

Answer:

4 more years

Step-by-step explanation:

you were born in 2008, you should be 14 now or soon, by the end of the year. So 4 in 4 years you would be 18.

Answer: Simple, you are 14 right? So 4 more years

Step-by-step explanation:

Add 14+4 and you'll get 18.

Step-by-step explanation:

The sum of two consecutive integers if n is the first integer.

consecutive means immediately after, so we have:

n

n + 1

The sum is written as:

n + n + 1

Grouping like terms, we have:

(n + n) + 1

2n + 1

If the store buys 200 shirts for $2400 and sells for $20 each then the percent markup is = 66.67%   .

In the question ,

it is given that ,

the number of shirts that departmental store buys is = 200 shirts .

the cost price for 200 shirts is = 2400

So , the cost for 1 shirts is = 2400/200 = $12 ,

the selling price for 1 shirt is = $20 ,

the percent markup can be calculated using the formula ,

percent markup  = (selling price - cost price)/(cost price)  × 100 ,

= (20 - 12)/12 × 100

= 8/12 × 100

= 800/12

= 66.66666

≈ 66.67 % .

Therefore , percent markup is 66.67% .

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Step-by-step explanation:

you do understand that the diameter of a circle is simply 2 times the radius, yes ?

imagine a circle and you draw a radius line (from the center of the circle to the circle arc).

and now imagine to draw another radius line, just in the opposite direction.

when you look at the result, you have 1 straight line going from the circle arc to the circle arc and passing through the center of the circle. that is what a diameter is.

how long is it ? well, we drew 2 radius lines to create this line. so, it is 2×radius long.

so, the diameter of the seal is

2×2 = 4 yards

Answer: taxes

Step-by-step explanation:

Max profit would be 54 type 1 and 88 type 2

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

given:

Let x be the amt of type 1 and y be the amt of type 2.

Then, Storage constraints

x ≤ 100

y ≤ 150

and, Mixing constraint:

62x + 44y ≤ 7220

44y = 7220-62x

y = 164 - 1.4x

and, Packaging constraint:

78x + 46y ≤ 8260

46y = 8260 - 78x

y = 180 - 1.7 x

Then, The objective functions for each corner of the region

solve:

62x + 44y = 7220

78x + 46y = 8260

So, x=54,y=88

Hence, Max profit would be 54 type 1 and 88 type 2

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Answer:

The area of the circle is 30.25π cm^2.

Step-by-step explanation:

The circumference of a circle is equal to the diameter of the circle times π. Therefore, if the circumference of the circle is 11π cm, the diameter must be 11 cm.

The formula for the area of a circle is A = πr^2, where r is the radius of the circle. The radius of the circle is half the diameter, so the radius is (1/2) * 11 cm = 5.5 cm.

Substituting this value for r into the formula for the area of a circle, we get:

A = π * (5.5 cm)^2

= π * 30.25 cm^2

= 30.25π cm^2

Therefore, the area of the circle is 30.25π cm^2.

Answer:

25

solution

50=3x

or, 50/3=x

or, x=16.66

hence,imran father will 16 years

Answer:

2

Step-by-step explanation:

This question is asking about the multiplication rule of exponents. When you multiply two exponents of the same base, the exponents add. With the parameters x=4, y=6, and z=8, the first one is true because 2+4=6. The third one is true because 6+6=12. The second one isn't true because 6+8=14, not 4.

we know ,

the probability=no of repeated value/total number

factorial of 3 and 2

and factorial of total number

=3ḷ×2ḷ/7ḷ

=3×2×1×2×1/7×6×5×4×3×2×1

=1/7×5×4×3

=1/420

=0.23809

or

=0.238

what is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means.

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Answer:

Yes

Step-by-step explanation:

Every input has only one output.

Since, Both the numbers used for the difference calculation are whole numbers, The answer is B) The difference is a whole number.

Both rational and irrational numbers are considered to be real numbers. Real numbers include all rational and irrational numbers, including integers (-2, 0, 1) and fractions (1/2, 2.5).

Whole numbers are natural numbers including zero with it.

56 is a whole number

34 is a whole number

the difference, 56-34 = 22 is also a whole number.

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Answer:

attached is the graph and other data

Step-by-step explanation:

∠c = 100° (Since ∠c and ∠100° are opposite angles)

∠c - ∠b = 70° (∠b =30° since ∠b and ∠30° make 60°)

∠a = 30° (Since ∠a and ∠30° vertically opposite angles)

What are opposite angles?

Angles, where two lines cross that are directly opposite one another, are known as opposite angles. The vertex, where the lines come together to produce the angle, is the location of the junction. Vertical angles are another name for opposite angles. Congruent angles are those that have opposite angles that are equal or have the same measurement. For instance, A and C are referred to be opposite angles in the parallelogram ABCD. B and D are the opposing angles in a similar way.

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Answer:

x=826

Step-by-step explanation:

Answer:

option a is correct i.e 6.25 = 25/4

Step-by-step explanation:

= 6.25

= 625 / 100

both being divisible by 5

we get

= 25/4

Answer:

m =  7cm

Step-by-step explanation:

Perimeter of a triangle is all the sides added up, so a+ b + c.

Given that a= 6 and b= 6, that's 12cm together. So just subtract the perimeter 19cm by 12cm to get your answer of 7cm.

If the initial population of a town is 100,231 and it grows with a doubling time of 98 years, the population after 31 years is  124803

The initial population of the town = 100231 people

The doubling time = 98 years

We have to find the population in 31 year

The exponential function will be

f(t) = fo(2)^(t/98)

f(t) is the population of the town in t years

fo is the population of the town in t = 0 years

t is the number of years

2 because it doubling time

The value of t = 31 years

Substitute the values in the function

f(31) = 100231×(2)^(31/98)

Do the arithmetic operations

f(31) = 100231 × 1.245

f(31) = 124803.23

f(31) ≈ 124803

Therefore, the population after 31 years is 124803

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Answer:

51/3

Step-by-step explanation:

Angles opposite congruent sides of a triangle are congruent.

[tex]x+17=4x-34 \\ \\ 17=3x-34 \\ \\ 51=3x \\ \\ x=51/3[/tex]

The explicit formula for the given arithmetic sequence is aₙ = 23 + (n - 1)11. Here the first term is a1 = 23 and the common difference is d = 11.

The explicit formula for an arithmetic sequence gives the nth term of the sequence. I.e.,

aₙ = a1 + (n - 1)d

Here a1 is the first term; d is a common difference, it is calculated by

d = aₙ₊₁ - aₙ = aₙ₋₁ - aₙ

The given sequence is 23, 34, 45, 56,...

Here the first term a1 = 23

So, the common difference between the terms in the sequence is

d = 34 - 23 = 11

Then, the explicit formula for the given sequence is

aₙ = a1 + (n - 1)d

⇒ aₙ = 23 + (n - 1)11

Therefore, the nth term of the explicit formula for the given arithmetic sequence is aₙ = 23 + (n - 1)11.

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When we apply coupon before promotional discount, we have to pay $396.

When we apply promotional discount first and then coupon, we have to pay $392

Given,

The coupon amount = $40

Promotional discount = 10%

The rent per hour = $100 + 20% gratuity

The rent for 4 hours including gratuity = (100 × 4) + (100 × 4 + 10/100) = $480

We have to find the amount for the situations given below;

a) The coupon is applied before the promotional discount;

Here,

Coupon deduction;

480 - 40 = $440

Promotional discount deduction;

10% of 440 = 44

Then,

440 - 44 = $396

We have to pay $396.

b) The promotional discount is applied before coupon;

Here,

Promotional discount deduction;

10% of 480 = 48

Then,

480 - 48 = $432

Coupon deduction;

432 - 40 = $392

We have to pay $392.

Therefore,

When we apply coupon first and then promotional discount, we have to pay $396

When we apply promotional  discount before coupon, we have to pay $392.

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If Lillian has a rectangular garden with an area of 10x² +33x – 7 square feet.The expressions that would represent the length and width of the garden will be (5x-1)(2x+7)

It is defined as the combination of constants and variables with mathematical operators.

It is given that, Lillian has a rectangular garden with an area of 10x² +33x – 7 square feet.

We have to find the expression representing the length and width of the garden.

[tex]=10x^2+33x-7 \\\\ =\left(10x^2-2x\right)+\left(35x-7\right) \\\\ =2x\left(5x-1\right)+7\left(5x-1\right)\\\\ =\left(5x-1\right)\left(2x+7\right)[/tex]

The area of the rectangular garden is,

A = L × B

Comparing the expression with the obtained expression we get the expressions that would represent the length and width of the garden as,

A= (5x-1)(2x+7)

Thus, if Lillian has a rectangular garden with an area of 10x² +33x – 7 square feet. The expressions that would represent the length and width of the garden will be (5x-1)(2x+7)

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