If you let y = length of the foot and x = length of the forearm, this equation can be simplified to y = 0.860x + 3.302. Using this equation, how long would the foot of a person be if his forearm was 17 inches long? Be sure to show your work using the equation above.

Answer:

[tex]\frac{1}{4} (16-x)[/tex]

Step-by-step explanation:

Let the number be x

difference of 16 and a number =[tex]16-x[/tex]

one fourth the difference of 16 and a number =[tex]\frac{1}{4} (16-x)[/tex]

Answer:

The expression represents the phrase is  [tex]\frac{1}{4}[/tex] (16-x)

Step-by-step explanation:

Let the number is 'x'

The difference of 16 and a number is

16-x

The one fourth the difference of 16 and a number is

[tex]\frac{1}{4}[/tex] (16-x)

Hence, the expression which represent the phrase is

[tex]\frac{1}{4}[/tex] (16-x)

Answer:

A batch of 1053 chips

Step-by-step explanation:

Given that over the past year, 5% of chips fail have failed the test

This mean in every batch size selected, 5% of the chips will fail

If 5% of chips fail the test, 95% of chip pass the test

Lets assume a batch size of x number of chips

You know 95% of the chips will pass  and the expected value of good chips is 1000 then

[tex]\frac{95}{100} *x=1000\\\\\\95x=100000\\\\\\x=\frac{100000}{95} \\\\\\x=1052.63\\\\\\x=1053[/tex]

Answer:

1053

Step-by-step explanation:

If ABCD is the rectangle, then AB and BC are perpendicular.

Let m₁ and m₂ - slopes of perpendicular lines. Therefore

m₁m₂ = -1 → m₂ = -1/m₁.

We have m₁ = 2/3 then m₂ = -1/(2/3) = -3/2.

The slope of BC is -3/2.

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

We are given ABCD is the rectangle, then AB and BC are perpendicular.

Let m₁ and m₂ are slopes of perpendicular lines. Therefore.

m₁m₂ = -1

m₂ = -1/m₁.

We have m₁ = 2/3 then;

m₂ = -1/(2/3) = -3/2.

Hence, The slope of BC is -3/2.

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Answer:

Answer is explained down below.

Hope this helped, brainliest?

Step-by-step explanation:

Not exactly sure if there are other questions included, but to fill out the table im assuming you break up the hours and miles.

Jamal hiked 6 miles in 3 hours, first block would be 1.5miles in 45 minutes, 2nd block would be 3miles in 1hour 30minutes, 4.5miles in 2hours 15minutes, and last 6 miles in 3 hours.

For rubi it would be 2.5miles, 5miles, 7.5miles, 10miles. the time would be 1 hour, 2 hour, 3 hour, 4 hour.

If this isnt what it is asking please provide more info and i'll help

Answer: $9.83

Step-by-step explanation:You need to calculate

($880/month)(.1665)(1/12) = $12.21

($880/month)(.0325)(1/12) = $2.38

Difference = $12.21 - $2.38 = $9.83

The Interest does your friend save at the end of the first month by Paying you instead of Credit Card is dollar 9.83.

What is Simple Interest?

''Simple Interest is a fee paid for borrowing money. The amount borrowed is called Principal the interest is expressed as a Percentage Rate of  the Interest".

What is Rate of  the Interest?

"Rate of  the Interest is the amount a lender charges a borrower and is a Percentage of the Principal - the amount loaned".

According to the question

Credit Balance is taken as Principal(P) = $880.00

Rate of Interest = 16.65%

Number of years = [tex]\frac{1}{12}[/tex]

Formula for Simple Interest = [tex]\frac{pnr}{100}[/tex]

Simple Interest=  [tex]\frac{(880)(1)(16.65)}{(12)(100)}[/tex]

=  12.21

Friend Pay you of Rate of Interest = 3.25%

Formula for Simple Interest is= [tex]\frac{pnr}{100}[/tex]

=[tex]\frac{(880)(1)(3.25)}{(12)(100)}[/tex]

= 2.38

In order to find the saving money make if Difference between Simple Interest paid at rate of interest 16.65% and Simple Interest paid at rate of Interest 3.25%

=  12.21 - 2.38

=  9.83

Hence, the Interest save at the end of the first month by paying you instead of the credit card $9.83.

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Answer: C

Step-by-step explanation:

Makes sense

Answer: C. 3* (5*4)

Step-by-step explanation:

(3*5)*4=60

(3+5)*4=32

3*(5*4)=60

(3*5)+(3*4)=27

(3*5)+4=19

3*(5*4)=60=(3*5)*4

Answer:

UV =2

Step-by-step explanation:

From the diagram

TV = x+14

TV = TU + UV

x+14 = 9+ 8+2x

Combine like terms

x+14 = 17+2x

Subtract x from each side

x-x+14 = 17+2x-x

14 = 17+x

Subtract 17 from each side

14-17 = 17+x-17

-3 =x

But we are not asked to solve for x, but for UV

UV = 8+2x

Substitute x=-3

UV = 8+2(-3)

UV  = 8-6

UV =2

35/23 is an improper fraction because the numerator is larger than the denominator.

To convert to a mixed number, use long division to find 35 into 23 goes in exactly one whole time (quotient) and there is 12 leftover (remainder)

You can see it through doing it like this

35/23 = (23+12)/23 = 23/23 + 12/23 = 1 + 12/23 = 1 & 12/23

So in short, 35/23 = 1 & 12/23

1 & 12/23 is a mixed number with 1 as the whole part and 12/23 as the fractional part.

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

Real life example: if you had 35 cookies and 23 friends, then each friend would get 1 whole cookie. There would be 12 cookies left over.

The question involves understanding improper fractions, specifically 35/23. This fraction is already improper as the numerator is larger than the denominator and it cannot be simplified further.

The student's question pertains to converting an improper fraction, which in this case is 35/23. To clarify, an improper fraction is one where the numerator (the top number) is larger than the denominator (the bottom number). This type of fraction represents a quantity greater than one whole. The student's example already is an improper fraction.

There is no further calculation needed unless the goal is to convert it to a mixed number or to its simplest form, which cannot be done in this case since 35 and 23 have no common factors besides 1.

ΔABC and ΔACD are similar. Therefore the sides are in proportion:

[tex]\dfrac{x}{4}=\dfrac{4}{2}[/tex]

[tex]\dfrac{x}{4}=2[/tex]      multiply both sides by 4

[tex]\boxed{x=8}[/tex]

Answer:

1) Given

2) if lines are parallel, then corresponding angles are equal

3) Substitution

4) if altenate interior angles are equal, then the lines are parallel

Answer:

(1-2)3X/10

-1(3X)/10

-3X/10

Answer:

300-124=176

I think this is corroct

Answer:

Everything should simplify down to -9a-3 (your answer)

Step-by-step explanation:

Distributive property is basically multiplying the outside number into the inside parenthesis ().  Basically #(a)--->#a        or   #(a+b)---> #a+#b

Since you're not ask to solve for anything but simplify, just multiply 3 to -3a and -1.....

so 3*-3a is -9a and 3*-1 is -3      and you have 3(-3a-1)= -9a-3

Final answer:

The distributive property is a mathematical property that allows us to distribute multiplication over addition or subtraction. It helps simplify expressions and perform calculations more efficiently in algebra and arithmetic.

Explanation:

The distributive property is a mathematical property that allows us to distribute multiplication over addition or subtraction. It states that for any numbers a, b, and c, the expression a * (b + c) is equal to a * b + a * c. This property helps us simplify expressions and perform calculations more efficiently.

For example, if we have the expression 3 * (2 + x), we can use the distributive property to simplify it to 3 * 2 + 3 * x, which becomes 6 + 3x. This allows us to break down the calculations into smaller steps and avoid errors.

The distributive property is one of the fundamental properties of multiplication and is widely used in algebra and arithmetic.

Answer:

D

Step-by-step explanation:

I have answers to whole packet:

1.D

2.A

3.C

4.D

5.C

6.D

7.A

8.C

9.A

10.B

11.A

12.A

13.A

14.B

15.A

16.B

17.A

18.A

19.B

20.C

21.A

22.A

23.D

24.B

Answer:

0<_g <_ 14 or A. If it’s the same paper

Step-by-step explanation:

Answer:

[tex]0\leq g\leq 14[/tex]

Step-by-step explanation:

The function is defined as [tex]m(g)[/tex], that is, the independent variable represents gallons, and the dependent variable represents miles, depending on the gallons of gas, the car will move certain number of miles.

Knowing the relation between the variables of the function, we also can know that the fuel tank holds 14 gallons, that is, the independent variable holds 14 units, and the independent variable is [tex]g[/tex].

Remember that the domain is the set that represents all valid values that the independent variable can take. In this case

[tex]0\leq g\leq 14[/tex]

Which means that the fuel tank can hold a maximum of 14 gallons and a minimum of 0 gallons. Therefore, the domain is

[tex]0\leq g\leq 14[/tex]

Answer:

1/4

Step-by-step explanation:

The probability of getting a heads is 1/2

The probability of getting an odd number

1,3,5

-----------   =   3/6  = 1/2

1,2,3,4,5,6  

Since they are independent events, we multiply the probabilities

1/2 * 1/2 = 1/4

Final answer:

The equation that best models the situation of the pizza delivery worker's scooter mileage is 50d = 12,900, where d represents the number of days worked.

Explanation:

The question asks us to find out which equation best models the situation where a pizza delivery worker drives a certain number of miles after d days of pizza delivery. To start, the worker bought a scooter with 12,100 miles on it. Each day of work he adds 50 miles to the total. After d days of delivery, the total miles driven on the scooter equals 25,000. We are looking for an equation that represents this scenario.

The total mileage on the motor scooter after d days can be calculated by the initial mileage plus the product of the number of days and the average miles driven per day. Mathematically, this is represented by:

12,100 miles + 50 miles/day × d days = 25,000 miles

To find the equation that models this situation, we subtract 12,100 from both sides to isolate the term with d on one side:

50d = 25,000 - 12,100

So, the equation that models this situation is:

50d = 12,900

Answer:

13/30

Step-by-step explanation:

5/6 -2/5

We need to get a common denominator of 30

5/6 *5/5 = 25/30

2/5 * 6/6 = 12/30

5/6 - 2/5

25/30 - 12/30

13/30

Answer:

13/30

Step-by-step explanation:

First find their least common multiple. ( you can list it out)

6= 6,12,18,24,30

5=5,10,15,20,25,30

LCM= 30

5/6= 25/30

2/5=12/30

25/30 - 12/30= 13/30

Answer:

Essence is 140 flyers per hour

Raizon is 80 flyers per hour

Step-by-step explanation:

In essence (if you see what I did there) a unit rate (strictly in this context) is how much work is done for 1 hour of time. To find this, we simply divide the number of flyers by the number of hours of worked.

So, for Essence:

[tex]\frac{420}{3} = 140[/tex]

The units for this problem will be flyers per hour. So, Essence has a unit rate of 140 flyers per hour.

For Raizon:

[tex]\frac{640}{8} = 80[/tex]

Raizon has a unit rate of 80 flyers per hour.

The property in expression is Associative property.

The characteristics of addition specify the possible methods for adding the given integers. One of the fundamental arithmetic operations in mathematics is "addition." The process of adding items together is called addition. The "+" symbol is used to add the two numbers together. The numbers we will add are referred to as "addends," and the outcome will be referred to as "sum." Any two or more digit numbers, known as addends, are used in the addition process.

Given expression

(m + 7.3) + 4.1 = m + (7.3 + 4.1)

this shows

(A + B) + C = A + (B + C)

this is associative property,

According to this property or law, the addition of three integers yields the same result regardless of how the numbers are arranged. It means that even if the order of the addends is modified while adding three or more numbers, the total or sum will remain the same.

Hence the expression follows associative property.

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Answer:

ITS 1/2

Step-by-step explanation:

Marble's mother requires 1/2 cup of flour .

Proportion is the number which is considered in comparative relation to a whole.

Fraction is  a number expressed as a quotient, in which a numerator is divided by a denominator

According to the problem,

∴ Number of cup of flour that Marble's mother require is 2/3 part of 3/4

                       = (2/3 x 3/4) = 1/2

∴ Marble's mother requires 1/2 cup of flour .

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Answer:

van : 12 miles per gallon

cabinets: 3 cabinets a day

retail job for $500

Step-by-step explanation:

van: 240 miles/20 gallons = 12 miles per gallon

cabinets: 24/8= 3

jobs: $500 for 40 hours and $12 times 40 hours gets you $480

first job pays $20 bucks more

Ques 1)

A van travels 240 miles on 20 gallons of gas.

This means that 20 gallons of gas is used to travel 240 miles.

This means that:

1 gallon of gas is used to travel  :

              [tex]\dfrac{240}{20}=12\ miles[/tex]

Hence, it travels 12 miles per gallon.

Ques 2)

Carlos installed 24 wooden cabinets in 8 days.

i.e. in 8 days he install 24 cabinets

This means in 1 day he will install

[tex]\dfrac{24}{8}=3\ cabinets[/tex]

On the average, he will  install 3 cabinets each day.

Ques 3)

100 sheets cost $ 2.50

This means that cost of 1 sheet is: $ 0.0250

( since,   [tex]\dfrac{2.50}{100}=0.0250[/tex] )

150 sheets at $3.50

This means that cost of 1 sheet is: $ 0.0233

( since,  [tex]\dfrac{3.50}{150}=0.02333[/tex] )

This means that the cost per sheet is cheaper in the buy:

    150 sheets at $3.50.

Ques 4)

Pack A has 36 cookies for $5.90.

This means that cost of 1 cookie is: $ 0.16388 )

(  since,  [tex]\dfrac{5.90}{36}=0.16388[/tex] )

and  Pack B has 24 cookies for $4.10.

This means that cost of 1 cookie is: $ 0.170833

( since, [tex]\dfrac{4.10}{24}=0.170833[/tex] )

The cost per cookie is cheaper in Pack A.

Hence, the pack which has cheaper cookies is: Pack A.

Ques 5)

One is in retail and pays $500 for a 40-hour work week.

This means that the payment for 1 hour is: $ 12.5

( since, [tex]\dfrac{500}{40}=12.5[/tex] )

The other job is at a restaurant and pays $12 an hour.

This means that the job which has a higher hourly rate is:

In retail which pays $500 for a 40-hour work week.      

( since 12.5>12  )        

Answer:

x is all real numbers

Step-by-step explanation:

6 + 5|2x -3| ≥ 4

The first step is to subtract 6 from each side

6 -6+ 5|2x -3| ≥ 4-6

5|2x -3| ≥ -2

Now divide each side by 5

5/5|2x -3| ≥ -2/5

|2x -3| ≥ -2/5

Absolute values are always positive.  Our absolute value is greater than a negative number.  It is always true.  X can be any number and our absolute value will still be greater than -2/5.

x is all real numbers

Answer:

Option C.

Step-by-step explanation:

The given expression is

[tex]\sqrt{18}[/tex]

We need to find the most simplified form of the given expression.

The given expression can be rewritten as

[tex]\sqrt{2\times 3\times 3}[/tex]

[tex]\sqrt{2\times 3^2}[/tex]

Using the properties of radical expression, we get

[tex]\sqrt{2}\times \sqrt{3^2}[/tex]     [tex][\because \sqrt{mn}=\sqrt{m}\sqrt{n}][/tex]

[tex]\sqrt{2}\times 3[/tex]

[tex]3\sqrt{2}[/tex]

Therefore, the correct option  is C.

Answer:

The correct answer is A.

Step-by-step explanation:

In order for a set to be a solution set, all of the numbers in the set must satisfy the equation. In this case, we are looking to satisfy the equation x < 14. So we must be able to tell that every number in the set is less than 14. In each of the sets (except for A), there is at least one number that is greater than 14. There are no numbers greater than 14 in A.

Answer:

A rhombus and a rectangle are both paralellograms and both have 4 sides.

Step-by-step explanation:

Imageine a rhombus as a rectangle that you have partally squished. It is still a parallellogram, and it still has four sides, it's just not 90 degree angles anymore.

Answer:

they are both quadrilaterals and have 4 vertices

Step-by-step explanation:

Answer:

THE ANSWER IS (A)

Step-by-step explanation:

BECAUSE I'M IN YOUR SCHOOL AND IN YOUR CLASS SO I KNOW

Answer: j(kl) I hope I helped the reason this correct is because it the expression but then the parenthesis are in a different placement.

your question is incomplete. please read below to find the missing content.

A. (j + k)

B. l j(kl)

C. (2jk)l

D. (j + k)l

(jk)l is  equivalent to  l j(kl)

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