Expand and simplify 5(x + 7) + 3(x–2)​

Answer:

$318.90

Step-by-step explanation:

Turn the percent into a decimal and multipy it by 344.76

0.075 × 344.76 = 25.857

after you get your answer you subtract 344.76 and 25.857

$344.76 - 25.857 = $318.903

round you answer to the nearest cent

= $318.90

Answer: 8

Step-by-step explanation:

(Sum of first 5 quizzes) / 5 quizzes = 8

Sum of 1st 5 quizzes = 8 x 5 = 40

let x = score on the 8th quiz

(40 + 7 + 5 + x) / 8 = 7.5

52 + x = (7.5)(8) = 60

x = 60 - 52 = 8

The total value of the ice cream shop owner's business assets would be; $286,898.

Business assets are the value of the assets of the Ice Cream Shop. The business assets consist of liabilities (amounts owed outsiders) and equity (the difference between assets and liabilities).

Business Assets:

Owned Inventory $30,500

Cash $75,420

Savings Account $28,000

Owned Equipment $15,670

Accounts Receivable $11,560

Property Value $125,768

Total assets = $286,898

Business Liabilities:

Small Business Loan $25,652

Other Debt $1,235

Building Mortgage $154,265

Total liabilities = $171,152

Equity = $115,746  ($286,898 - $171,152)

The total value of the ice cream shop owner's business assets would be; $286,898.

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Answer:

The net worth of the landscaping business is $148,708.

Step-by-step explanation:

Assets:

(Owned Inventory) $30,500

(Cash) $75,420

(Savings Account) $28,000

(Owned Equipment) $15,670

(Accounts Receivable) $11,560

(Investments) $178,925

30500+75420+28000+15670+11560+178925 = 340075

Liabilities:

(Building Mortgage) $154,265

(Small Business Loan) $25,652

(Credit Cards) $11,450

154265+25652+11450= 191367

Assets - liabilities = net worth

340075 - 191367 = 148708

So, the net worth of the landscaping business is $148,708.

Answer:

Z-Grand Shipping Company manufactures boxes in the shape of a cube.

The formula for the surface area of a cube is 6s, where s is the length of one side.

Z-Grand Shipping Company manufactures large boxes with a side length of 6 feet. The surface area of each large box is 216

square feet

The company also manufactures small boxes with a side length of 3 feet. The surface area of each small box is 54

square feet

The surface area of the large box is 4 times larger than the small box.

{So for the first line which is The surface area of each large box is

square feet.}

Ans;216

{The second line which is The surface area of each small box is

square feet.]

Ans;54

{The Third line which is The surface area of the large box is times larger than the small box.}

Ans;4

Answer:

Z-Grand Shipping Company manufactures boxes in the shape of a cube.

The formula for the surface area of a cube is 6s, where s is the length of one side.

Z-Grand Shipping Company manufactures large boxes with a side length of 6 feet. The surface area of each large box is 216

square feet

The company also manufactures small boxes with a side length of 3 feet. The surface area of each small box is 54

square feet

The surface area of the large box is 4 times larger than the small box.

{So for the first line which is The surface area of each large box is

square feet.}

Ans;216

{The second line which is The surface area of each small box is

square feet.]

Ans;54

{The Third line which is The surface area of the large box is times larger than the small box.}

Ans;4

The exponential function giving the concentration after t hours is given as follows:

[tex]C(t) = 0.00372(0.9359)^t[/tex]

The standard modelling of an exponential function is presented as follows:

[tex]y = a(b)^x[/tex]

The meaning of the variables of the equation are given as follows:

The initial value of the exponential function is given as follows:

a = 0.00372.

After eight hours, the concentration is given as follows:

C(8) = 0.00219.

Hence the rate of change is obtained as follows:

[tex]C(t) = 0.00372b^t[/tex]

[tex]0.00219 = 0.00372b^8[/tex]

[tex]b^8 = \frac{0.00219}{0.00372}[/tex]

[tex]b = \sqrt[8]{\frac{0.00219}{0.00372}}[/tex]

[tex]b = \left(\frac{0.00219}{0.00372}\right)^{\frac{1}{8}}[/tex]

b = 0.9359.

Hence the equation is:

[tex]C(t) = 0.00372(0.9359)^t[/tex]

The problem is given by the image at the end of the answer, and it asks for the exponential function modelling the situation.

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No, the data provided does not give good evidence that ACME’s penetration rate for widgets is greater than 40%, Test at the

2.5% level of significance

P-value in the data is 40% and this refers to the probability that the assumed penetration rate is greater tan 40 %

The central limit theorem is frequently employed in situations when it is necessary to identify the features of the population but it is challenging to analyze the entire population.

The central limit theorem gives the formula

Z = (X - μ) / σ

Definition of variables

sample mean, X = 185

population mean, μ  = ?

standard deviation, σ = ?

sample size, n = 185

significance level = 2.5% = 0.025

confidence level = 1 - significance level = 1 -  0.025 = 0.975 = 97.5%

z score, z

Z score for 97.5% confidence level = 1.96

substituting into the formula

Z = (X - μ) / σ

The given variables are not enough for the calculation

population mean, μ  = ?

standard deviation, σ = ?

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The final price of the shoes after successive discounts is $77.22.

What is a discount?

A discount is a reduction in the regular selling price of a good or service, either in terms of money or as a percentage.

Main Body:

Sale price = Original price - discount

The formula for successive discount is given by=

Cost price*(1 - discount₁/100)*(1 - discount₂/100)*(1 - discount₃/100)

Now calculating:

According to the question , Cost price = $165

sale price = 165*(1-0.35)*(1-0.20)*(1-0.10)

                 = 165*0.65*0.8*0.9

                 = $77.22

Hence the answer to sale price of the shoe would be $77.22

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There are 3 1/4's in 3/4, hope this helps.

Answer: 3

Step-by-step explanation: since they are the same denominator it is basically asking how many 1s go in 3

To investigate the complaints from renters who are unhappy about their monthly rents, the mean rents can be collected

The statistical measurement that would be used is the ANOVA.

A dataset's mean (also known as the arithmetic mean, as opposed to the geometric mean) is the sum of all values divided by the total number of values. It is the most widely used measure of central tendency and is frequently referred to as the "average."

ANOVA is an abbreviation for Analysis of Variance. It is a statistical test invented by Ronald Fisher in 1918 that has been in use ever since. Simply said, ANOVA determines whether or not there are statistical differences between the means of three or more independent groups. The most basic type is one-way ANOVA. To know of the meansare the same, the ANOVA can be used.

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The percent increase from 2,500 pounds this week to 2,525 pounds is 1% increase

From the question, we have the following parameters that can be used in our computation:

Initial weight = 2500 pounds

New weight = 2525 pounds

The percentage increment is then calculated as

Percentage = (Final value - Initial value)/Initial value * 100%

Substitute the known values in the above equation

Percentage = (2525 - 2500)/2500 * 100%

Evaluate the difference

So, we have

Percentage = 25/2500 * 100%

Evaluate the quotient

So, we have

Percentage = 0.01 * 100%

Evaluate the product

So, we have

Percentage = 1%

Hence, the percent increase is 1% increase

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Answer: y = -9/8 + 7

Step-by-step explanation:

point a = (0,7), point b = (8,-2)

y = mx + b

b = 7

y = mx + 7

-2 = 8m + 7

-9 = 8m

m = -9/8

y = -9/8 + 7

Answer:

y= -9/8x+7

Step-by-step explanation:

find the slope

y2-y1/x2-x1

-2-7/8-0

-9/8

y=mx+b

m=slope

b=y intercept

y=  - 9/8x + b

y= -9/8x+7

The order for the extra materials that are ordered by the man will be between 17.31 ft² and 23.08 ft².

From the information, the man is ordering new tile for her kitchen floor the area of the floor is 115.4 ft.² and wants to order between 15% and 20% extra of the material.

It should be noted that 15% of the material will be:

= 15% × 115.4

= 17.31 ft²

It should be noted that 20% of the material will be:

= 20% × 115.4

= 23.08 ft²

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Answer:

y=-2x-5

Step-by-step explanation:

m =-2 and b=-5 so when substituted it will get you y=-2x-5

Answer:

Using transformation rules, the transformation can also be stated by option A, that is (x, y) → (–x, –y).

------------------------------------

The first option, of (x, y) → (–x, –y), is a rotation of 180º degrees around the origin, which is the transformation made on the pentagon.

As for the other transformations:

The second option, (x, y) → (–y –x), is a reflection around the line y = -x.

The third option, of (x, y) → (x, –y), is a reflection across the x-axis.

The fourth option, of (x, y) → (–x, y), is a reflection across the y-axis.

Step-by-step explanation:

The difference between the sum of first 10 terms of AP and GP where the first term and second term is 2 and 4 respectively is -932

What is Arithmetic Progression and Geometric Progression?

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

First term = -2

Second term = 4

A)

For Arithmetic Progression

First term a = -2

Second term = 4

Common difference d = Second term - First term

                                     = 4 - ( -2 )

                                     = 6

And Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

n = 10 terms

Sₙ = ( 10/2 ) [ (2x- 2) + ( 9 ) x 6]

Sₙ = 5 [ -4 + 54 ]

Sₙ = 5 x 50

Sₙ = 250

Therefore , Sum of first 10 terms of an AP is 250

B)

For Geometric Progression

First term a = -2

Second term = 4

Common ratio = Second term / First term

                        = 4 / -2

                        = -2

And Sum of first n terms of an GP : Sₙ =  a( 1 - rⁿ ) / ( 1 - r )

n = 10

Sₙ = 2( 1 - ( -2 )¹⁰ ) / 1 - ( -2 )

Sₙ = 2 ( 1 - 1024 ) / 3

Sₙ = ( 2 x (-1023) ) / 3

Sₙ = 2 x ( - 341 )

Sₙ = - 682

Therefore , Sum of first 10 terms of an GP is -682

The difference between the sum of first 10 terms of AP and GP is GP - AP

= -682 - 250

= -932

Hence , The difference between the sum of first 10 terms of AP and GP where the first term and second term is 2 and 4 respectively is -932

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Answer:

z=-52/3

Step-by-step explanation:

1) 12 + -3/2 z= -14

2) -3/2 z = -26

3) z=-26(-2/3)

4) z= 52/3

Answer:

25% or 35 rocks.

Step-by-step explanation:

To find this answer, simply add up 40% and 35% to get 75%. Now, 100% is the most we can have. So, 100 - 75 = 25%.

To find even more in depth of exactly how much 25% of 140 is, we can simply move the decimal point from 25 over twice to get 0.25. The term "of" means multiply:

0.25 x 140 = 35 rocks.

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The scatter plot that displays the relationship between the bench press and squat weights for this sample is given by the second image at the end of the answer.

From the scatter plot, it can be taken that the relationship is that the variables have a positive association, as when the bench press weight increases, so does the squat weight. The relationship, however, is not strong, as the scatter plot is not 100% increasing.

The scatter plot is built inserting all the points of the table in a graph, which are in the following input-output format:

(bench press weight, squat weight).

From the table given by the first image at the end of the answer, the points are listed as follows:

(95, 141), (111, 208), (113, 100), (125, 218), (135, 284), (145, 275), (165, 338), (180, 338), (140, 420), (196, 420), (95, 141), (111, 208).

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a) The penalty Lorna must pay for the late payment of her real estate tax is $26.50.

b) The total amount Lorna must pay on February 27 is $2,037.38.

The penalty for unpaid taxes is computed by determining the number of days the taxes remained unpaid.

Then the penalty rate is applied to the unpaid taxes multiplied by the number of days taxes were outstanding, divided by 365 days.

The product of the above multiplication and division operations is the penalty.

Outstanding real estate tax = $2,010.88

Due date for the tax = December 14, 2017

Payment date for the tax = February 27, 2018

Number of days, tax outstanding = 74 days

Penalty rate for late payment = 6.5%

Penalty = $26.50 ($2,010.88 x 6.5% x 74/365)

Total payment on February 27 = $2,037.38 ($2,010.88 + $26.50)

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By solving a simple equation we can see that Chris earned $192.50.

We know that Chris wins $10 per hour plus the 12.5% of the total amount he solds in computers.

So, if he works 5.5 hours and sold $1,100 in computers, the amount that he earns is given by the equation:

E = $10*5.5 + $1,100*( 12.5%/100%)

E = $10*5.5 + $1,100*(0.125) = $192.50

Then we conclude that Chris earned $192.50 today.

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The graph of inequalities equation on coordinate plane is given below ↓↓↓

Difference between equality and inequality equations

Both mathematical phrases, equality and inequality , are created   by connecting two expressions.The equal sign (=) indicates that two expressions in an equation are believed to be equivalent. The symbols show that the two expressions in an inequality are not always equal: >, <, ≤ or ≥. Or in simple words the equation which has '=' sign is an equality equation while the inequality equation has the signs are >, <, ≤ or ≥.

The inequalities equation is ,

y> 2x+4

x+y≤6

so, the graph is ↓↓↓

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It is a scalene triangle .

acc to our quesion-

all the sides of triangle are unequal

if all sides are unequal ,it is called scalene triangle.

hence,It is a scalene triangle .

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The total amount of money Sam paid for his food, tip for the waitress and sales tax at the Texas Roadhouse is $54

Amount of tip = 15% × $45

= 0.15 × 45

= $6.75

Amount of sales tax = 5% × $45

= 0.05 × 45

= $2.25

Total amount Sam spent at the Texas Roadhouse = Sam's bill at the Texas Roadhouse + Amount of tip for the waitress + Amount of sales tax

= $45 + $6.75 + $2.25

= $54

In conclusion, the total amount of money Sam paid at the Texas Roadhouse is $54

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Answer:

(B)={8,10,15,18,20}

Step-by-step explanation:

Answer:

S=3/8 miles

T=1/4 hour

V=S/T = 3/8 ÷ 1/4 = (3×4)÷8 = 3/2 miles in an hour

The probability that X will be greater than 25 is 0.42

Given,

The sample size, n = 39

The mean of the population, μ = 23

The standard deviation of the population, σ = 10

We have to find the probability for X > 25.

Here,

Z score = (X - μ) / σ

Z score = (X - 23) / 10

Now,

We have to find P(X > 25)

Then,

P(X > 25) = P(z >  (25 - 23) / 10)

P(X > 25) = P(z > 2/10)

That is,

P(X > 25) = P(z > 0.2)

Here,

0.5 - P(0 ≤ z ≤ 0.2)

= (0.5 - 0.0792)

= 0.42

Therefore,

The probability that X will be greater than 25 is 0.42

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Answer: 26/24

Step-by-step explanation:

First we have to convert 5/6 with a denominator of 24 so 6 times what makes 24, that is 4 & whatever you do with the denominator, you have to do it with the numerator. So 5 times 4 is 20, the new fraction is 20/24. Now, we need to find what we need to add with 20/24 to get 41/24, so we subtract 20/24 from 41/24 & that is 21/24. We can check if it's correct by adding both 21/24 and 20/24 & that makes 41/24.

Answer:

the answer is down there