Does 20, 40, 30 form a right triangle, №18010911, 08.12.2021 14:42

Mathematics

Step-by-step answer

P Answered by Master

Call the 3 sides a,b,c respectively. (a=20; b=30; c=40)

To form a right triangle with 3 lengths, they must satisfied the equation : $a^{2} +b^{2} =c^{2}$ (aka pythagorean theorem)

Replace numbers : $20^{2} +30^{2} =40^{2}\\ 400 + 900 = 1600 (false)$

-> These lengths do not form a right triangle.

Business

Denison Specialty Hospital is planning its master budget for the coming year. The budget wil include operating, capital, cash and flexible budgets. The hospital is noted for its three fine programs: oncology (cancer), cardiac (heart), and rhinoplasty (nose jobs). Section A The managers at Denison have been busy working. They have reviewed past records and considered changes in competition, the general economy, and overall medical trends. Using past charges and anticipated rates of medical inflation, they have also made a first attempt at setting

Step-by-step answer

P Answered by Master

Section A:-

1) Total Patient Revenue = 7980000.

2) Endowment Revenue:-

Investment = $1000000.

Income = $ 50000.

3) Revenue Budget on Accrual Basis for Next year= $ 8150000.

Section B:

1) Calculation of Expected Bad Debts for Coming Year= $ 380000

2) Expense Budget for Coming Year = $ 8220000.

3) Operating Budget For coming Year:-

Total Budget Revenue = $ 8150000.

Total Budget Expense = $8220000.

Excess Over Revenue = $ 70000.

Explanation:

Denison Specialty Hospital is planning its master budget for the coming year. The budget wil include

Business

Denison Specialty Hospital is planning its master budget for the coming year. The budget wil include operating, capital, cash and flexible budgets. The hospital is noted for its three fine programs: oncology (cancer), cardiac (heart), and rhinoplasty (nose jobs). Section A The managers at Denison have been busy working. They have reviewed past records and considered changes in competition, the general economy, and overall medical trends. Using past charges and anticipated rates of medical inflation, they have also made a first attempt at setting

Step-by-step answer

P Answered by Master

Section A:-

1) Total Patient Revenue = 7980000.

2) Endowment Revenue:-

Investment = $1000000.

Income = $ 50000.

3) Revenue Budget on Accrual Basis for Next year= $ 8150000.

Section B:

1) Calculation of Expected Bad Debts for Coming Year= $ 380000

2) Expense Budget for Coming Year = $ 8220000.

3) Operating Budget For coming Year:-

Total Budget Revenue = $ 8150000.

Total Budget Expense = $8220000.

Excess Over Revenue = $ 70000.

Explanation:

Mathematics

1. find the digit that makes 3,71_ divisible by 9. a. 3 b. 7 c. 1 d. 5 2.list all the factors of the number 30. a. 1, 2, 3, 5, 6, 10, 15, 30 b. 2, 3, 4, 10, 20, 30, 40 c. 1, 2, 4, 5, 10, 15, 30 d. 1, 2, 4, 5, 8, 10, 20, 40 3. find the prime factorization of the number 168. a. 24 x 3 x 7 b. 23 x 3 x 7 c. 24 x 33 x 13 d. 23 x 33 x 7 4. find the gcf of the numbers 140 and 180. a. 20 b. 90 c. 30 d. 10 5. the weights of 3 bags containing footballs are 15 oz, 30 oz, and 60 oz. the greatest common factor of 15, 30, and 60 gives the weight of each ball

Step-by-step answer

P Answered by PhD

64

QUESTION 1

We want to find the digit that should fill the blank space to make

3,71-

divisible by 9.

If a number is divisible by 9 then the sum of the digits should be a multiple of 9.

The sum of the given digits is,

3 + 7 + 1 = 11

Since

11 + 7 = 18

which is a multiple of 9.

This means that

3,717

is divisible by 9.

The correct answer is B

QUESTION 2

The factors of the number 30 are all the numbers that divides 30 exactly without a remainder.

These numbers are ;

1,2,3,5,6,10,15,30

The correct answer is A.

QUESTION 3.

We want to find the prime factorization of the number 168.

The prime numbers that are factors of 168 are

$2,3 \: and \: 7$

We can write 168 as the product of these three prime numbers to obtain,

$168={2}^{3}\times 3\times7$

We can also use the factor tree as shown in the attachment to write the prime factorization of 168 as

$168 ={2}^{3}\times 3\times7$

The correct answer is B.

QUESTION 4.

We want to find the greatest common factor of

$140\:\:and\:\:180$

We need to express each of these numbers as a product of prime factors.

The prime factorization of 140 is

$140={2}^{2}\times 5\times7.$

The prime factorization of 180 is

$180={2}^{2} \times{3}^{2}\times5.$

The greatest common factor is the product of the least degree of each common factor.

$GCF={2}^{2}\times5$

GCF=20

The correct answer is A.

QUESTION 5.

We want to find the greatest common factor of

$15,30\: and\:60.$

We need to first find the prime factorization of each number.

The prime factorization of 15 is

$15=3\times5.$

The prime factorization of 30 is

$30=2\times 3\times 5.$

The prime factorization of 60 is

$60={2}^{2}\times3 \times5$

The greatest common factor of these three numbers is the product of the factors with the least degree that is common to them.

$GCF=3 \times5$

GCF=15

The correct answer is C.

QUESTION 6

We want to determine which of the given fractions is equivalent to

$\frac{3}{8}.$

We must therefore simplify each option,

$A.\: \: \frac{15}{32}=\frac{15}{32}$

$B.\:\:\frac{12}{32}=\frac{4\times 3}{4\times8}=\frac{3}{8}$

$C.\:\:\:\:\frac{12}{24}=\frac{12\times1}{12\times 2}=\frac{1}{2}$

$D.\:\:\frac{9}{32}=\frac{9}{32}$

The simplification shows that

$\frac{12}{32}\equiv \frac{3}{8}$

The correct answer is B.

QUESTION 7.

We want to express

$\frac{10}{22}$

in the simplest form.

We just have to cancel out common factors as follows.

$\frac{10}{22}=\frac{2\times5}{2 \times11}$

This simplifies to,

$\frac{10}{22}=\frac{5}{11}$

The correct answer is C.

QUESTION 8.

We were given that Justin visited of the states.

The question requires that we express as a fraction of 50.

This will give us

$\frac{25}{50}=\frac{25\times1}{25\times2}$

We must cancel out the common factors to have our fraction in the simplest form.

$\frac{25}{50}=\frac{1}{2}$

The correct answer is C.

QUESTION 9.

We want to write

$2\frac{5}{8}$

as an improper fraction.

We need to multiply the 2 by the denominator which is 8 and add the product to 5 and then express the result over 8.

This gives us,

$2 \frac{5}{8}=\frac{2\times8+5}{8}$

this implies that,

$2\frac{5}{8}=\frac{16+5}{8}$

$2\frac{5}{8}=\frac{21}{8}$

Sarah needed

$\frac{21}{8}\:\:yards$

The correct answer is D.

QUESTION 10

See attachment

QUESTION 11

We wan to write

$3\: and\:\:\frac{7}{8}$

as an improper fraction.

This implies that,

$3+\frac{7}{8}=3\frac{7}{8}$

To write this as a mixed number, we have,

$3\frac{7}{8}=\frac{3\times8+7}{8}$

This implies that,

$3\frac{7}{8}=\frac{24+7}{8}$

This gives

$3\frac{7}{8}=\frac{31}{8}$

The correct answer is B.

QUESTION 12

We want to find the LCM of and using prime factorization.

The prime factorization of 30 is $30=2\times 3\times 5$

The prime factorization of 46 is $40=2\times 23$ .

The LCM is the product of the common factors with the highest degrees. This gives us,

$LCM=2\times \times3 5\times 23$

LCM=690

The correct answer is D.

QUESTION 13

We want to find the least common multiple of 3,6 and 7.

The prime factorization of is .

The prime factorization of 6 is $6=2\times 3$ .

The prime factorization of 7 is .

The LCM is the product of the common factors with the highest degrees. This gives us,

$LCM=2\times3 \times7$

LCM=42 .

The LCM is 42, therefore 42 days will pass before all three bikes will at the park on the same day again.

The correct answer is B.

See attachment for continuation.

1. find the digit that makes 3,71_ divisible by 9. a. 3 b. 7 c. 1 d. 5 2.list all the factors of the

Mathematics

1. find the digit that makes 3,71_ divisible by 9. a. 3 b. 7 c. 1 d. 5 2.list all the factors of the number 30. a. 1, 2, 3, 5, 6, 10, 15, 30 b. 2, 3, 4, 10, 20, 30, 40 c. 1, 2, 4, 5, 10, 15, 30 d. 1, 2, 4, 5, 8, 10, 20, 40 3. find the prime factorization of the number 168. a. 24 x 3 x 7 b. 23 x 3 x 7 c. 24 x 33 x 13 d. 23 x 33 x 7 4. find the gcf of the numbers 140 and 180. a. 20 b. 90 c. 30 d. 10 5. the weights of 3 bags containing footballs are 15 oz, 30 oz, and 60 oz. the greatest common factor of 15, 30, and 60 gives the weight of each ball

Step-by-step answer

P Answered by PhD

64

QUESTION 1

We want to find the digit that should fill the blank space to make

3,71-

divisible by 9.

If a number is divisible by 9 then the sum of the digits should be a multiple of 9.

The sum of the given digits is,

3 + 7 + 1 = 11

Since

11 + 7 = 18

which is a multiple of 9.

This means that

3,717

is divisible by 9.

The correct answer is B

QUESTION 2

The factors of the number 30 are all the numbers that divides 30 exactly without a remainder.

These numbers are ;

1,2,3,5,6,10,15,30

The correct answer is A.

QUESTION 3.

We want to find the prime factorization of the number 168.

The prime numbers that are factors of 168 are

$2,3 \: and \: 7$

We can write 168 as the product of these three prime numbers to obtain,

$168={2}^{3}\times 3\times7$

We can also use the factor tree as shown in the attachment to write the prime factorization of 168 as

$168 ={2}^{3}\times 3\times7$

The correct answer is B.

QUESTION 4.

We want to find the greatest common factor of

$140\:\:and\:\:180$

We need to express each of these numbers as a product of prime factors.

The prime factorization of 140 is

$140={2}^{2}\times 5\times7.$

The prime factorization of 180 is

$180={2}^{2} \times{3}^{2}\times5.$

The greatest common factor is the product of the least degree of each common factor.

$GCF={2}^{2}\times5$

GCF=20

The correct answer is A.

QUESTION 5.

We want to find the greatest common factor of

$15,30\: and\:60.$

We need to first find the prime factorization of each number.

The prime factorization of 15 is

$15=3\times5.$

The prime factorization of 30 is

$30=2\times 3\times 5.$

The prime factorization of 60 is

$60={2}^{2}\times3 \times5$

The greatest common factor of these three numbers is the product of the factors with the least degree that is common to them.

$GCF=3 \times5$

GCF=15

The correct answer is C.

QUESTION 6

We want to determine which of the given fractions is equivalent to

$\frac{3}{8}.$

We must therefore simplify each option,

$A.\: \: \frac{15}{32}=\frac{15}{32}$

$B.\:\:\frac{12}{32}=\frac{4\times 3}{4\times8}=\frac{3}{8}$

$C.\:\:\:\:\frac{12}{24}=\frac{12\times1}{12\times 2}=\frac{1}{2}$

$D.\:\:\frac{9}{32}=\frac{9}{32}$

The simplification shows that

$\frac{12}{32}\equiv \frac{3}{8}$

The correct answer is B.

QUESTION 7.

We want to express

$\frac{10}{22}$

in the simplest form.

We just have to cancel out common factors as follows.

$\frac{10}{22}=\frac{2\times5}{2 \times11}$

This simplifies to,

$\frac{10}{22}=\frac{5}{11}$

The correct answer is C.

QUESTION 8.

We were given that Justin visited of the states.

The question requires that we express as a fraction of 50.

This will give us

$\frac{25}{50}=\frac{25\times1}{25\times2}$

We must cancel out the common factors to have our fraction in the simplest form.

$\frac{25}{50}=\frac{1}{2}$

The correct answer is C.

QUESTION 9.

We want to write

$2\frac{5}{8}$

as an improper fraction.

We need to multiply the 2 by the denominator which is 8 and add the product to 5 and then express the result over 8.

This gives us,

$2 \frac{5}{8}=\frac{2\times8+5}{8}$

this implies that,

$2\frac{5}{8}=\frac{16+5}{8}$

$2\frac{5}{8}=\frac{21}{8}$

Sarah needed

$\frac{21}{8}\:\:yards$

The correct answer is D.

QUESTION 10

See attachment

QUESTION 11

We wan to write

$3\: and\:\:\frac{7}{8}$

as an improper fraction.

This implies that,

$3+\frac{7}{8}=3\frac{7}{8}$

To write this as a mixed number, we have,

$3\frac{7}{8}=\frac{3\times8+7}{8}$

This implies that,

$3\frac{7}{8}=\frac{24+7}{8}$

This gives

$3\frac{7}{8}=\frac{31}{8}$

The correct answer is B.

QUESTION 12

We want to find the LCM of and using prime factorization.

The prime factorization of 30 is $30=2\times 3\times 5$

The prime factorization of 46 is $40=2\times 23$ .

The LCM is the product of the common factors with the highest degrees. This gives us,

$LCM=2\times \times3 5\times 23$

LCM=690

The correct answer is D.

QUESTION 13

We want to find the least common multiple of 3,6 and 7.

The prime factorization of is .

The prime factorization of 6 is $6=2\times 3$ .

The prime factorization of 7 is .

The LCM is the product of the common factors with the highest degrees. This gives us,

$LCM=2\times3 \times7$

LCM=42 .

The LCM is 42, therefore 42 days will pass before all three bikes will at the park on the same day again.

The correct answer is B.

See attachment for continuation.

Mathematics

logo Mathematics Mathematics, 13.11.2020 02:40, alexabessin Jennifer and her three cousins drove 165 miles to visit their grandmother. Their car got 24 miles per gallon during the trip. They drove at an average rate of 55 miles per hour and the gasoline for the trip cost $8.94. Calculate each of the following and explain in a complete sentence how you solved the problem. If your sentence has a rate, underline it. 1. Gallons of gasoline used 2. Hours of travel 3. Average feet per second 4. Dollars per hour 5. Dollars per passenger 6. Dollars per

Step-by-step answer

P Answered by Master

Answer:

See below

Step-by-step explanation:

Solution is given in the picture below. All the values are calculated.

Chemistry

Question 1(multiple choice worth 3 points) (07.05 lc) when zinc reacts with hydrochloric acid, it produces hydrogen gas. as the reaction proceeds, why does the rate of production of hydrogen gas decrease? the concentration of hydrogen gas decreases. the concentration of the reactants decreases. the hydrogen gas formed inhibits the reaction. the hydrogen gas also reacts with the zinc metal. question 2(multiple choice worth 3 points) (07.05 lc) which of the following is true about catalysts? catalysts increase the number of collisions that occur

Step-by-step answer

P Answered by Specialist

10

The concentration of the reactants decreases.

Explanation: Rate law says that rate of a reaction is directly proportional to the concentration of the reactants each raised to a stoichiometric coefficient determined experimentally called as order.

k= rate constant

x = order with respect to

y = order with respect to

Thus as the concentration of reactants decrease, the rate of the reaction also decrease and thus the rate of formation of products decrease.

Chemistry

Question 1(multiple choice worth 3 points) (07.05 lc) when zinc reacts with hydrochloric acid, it produces hydrogen gas. as the reaction proceeds, why does the rate of production of hydrogen gas decrease? the concentration of hydrogen gas decreases. the concentration of the reactants decreases. the hydrogen gas formed inhibits the reaction. the hydrogen gas also reacts with the zinc metal. question 2(multiple choice worth 3 points) (07.05 lc) which of the following is true about catalysts? catalysts increase the number of collisions that occur

Step-by-step answer

P Answered by Specialist

10

The concentration of the reactants decreases.

Explanation: Rate law says that rate of a reaction is directly proportional to the concentration of the reactants each raised to a stoichiometric coefficient determined experimentally called as order.

k= rate constant

x = order with respect to

y = order with respect to

Thus as the concentration of reactants decrease, the rate of the reaction also decrease and thus the rate of formation of products decrease.

Business

Customer Name: Joey JonesAge: 30Marital Status: SingleDependents: NoneOccupation: VP - Marketing - ACCO Corp.Household Income: $250,000Net Worth: $60,000 (excluding residence)Own Home: No - RentsInvestment Objectives: Aggressive Growth / Early Retirement at age 50Investment Time Horizon: 20 yearsInvestment Experience: 0 yearsCurrent Portfolio Composition: 401k: $30,000Cash in Bank: $30,000When reviewing this customer s profile sheet, the most immediate question that should be considered is:.A. Does the customer intend to buy a home? B. Does the

Step-by-step answer

P Answered by PhD

C. This customer, age 30, is a high earner, yet he only has $60,000 put away in his 401k and in cash.

Explanation:

The customer Mr.Joey Jones is 30 years old and has high earning through his job. He plan to retire at age of 50 so he has 20 years from now for the investment. Mr Joey earns $250,000 yet he has saving of only $60,000 in the bank. This suggests that he is high spender and does not saves much money. If he has plan to retire at age of 50 then he must save money and cut down his expenses to meet portfolio investments.

Business

Customer Name: Joey JonesAge: 30Marital Status: SingleDependents: NoneOccupation: VP - Marketing - ACCO Corp.Household Income: $250,000Net Worth: $60,000 (excluding residence)Own Home: No - RentsInvestment Objectives: Aggressive Growth / Early Retirement at age 50Investment Time Horizon: 20 yearsInvestment Experience: 0 yearsCurrent Portfolio Composition: 401k: $30,000Cash in Bank: $30,000When reviewing this customer s profile sheet, the most immediate question that should be considered is:.A. Does the customer intend to buy a home? B. Does the

Step-by-step answer

P Answered by PhD

C. This customer, age 30, is a high earner, yet he only has $60,000 put away in his 401k and in cash.

Explanation:

The customer Mr.Joey Jones is 30 years old and has high earning through his job. He plan to retire at age of 50 so he has 20 years from now for the investment. Mr Joey earns $250,000 yet he has saving of only $60,000 in the bank. This suggests that he is high spender and does not saves much money. If he has plan to retire at age of 50 then he must save money and cut down his expenses to meet portfolio investments.

Does 20, 40, 30 form a right triangle

Step-by-step answer

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