Mathematics: why do you multiply 75/2 by 4/43 to divide 37 1/2 by 10 3/4

why do you multiply 75/2 by 4/43 to divide 37, №8672870, 12.05.2021 06:58

Mathematics

George jogged a total distance of 9 and 1 over 2 miles during the months of october and november. if george only jogged 1 over 4 mile every day, which expression shows the number of days in which he went jogging? (5 points) 9 and 1 over 2 multiplied by 1 over 4 9 and 1 over 2 plus 1 over 4 9 and 1 over 2 divided by 1 over 4 9 and 1 over 2 minus 1 over 4 4. (02.01 hc) freddy has a shelf that is 72 over 5 inches wide. how many catalogs can freddy arrange on the shelf if each catalog is 4 over 5 of an inch thick? (5 points) 11, because the number

Step-by-step answer

P Answered by PhD

4

Part 1) 9 and 1 over 2 divided by 1 over 4

Part 2) 18, because the number of catalogs is 72 over 5 divided by 4 over 5

Part 3) 3.2

Part 4) 3.6 with bar over 6

Part 5) 4 over 7 and 4 over 9

Part 6) 43 over 9

Part 7) Benny spent to go to the summer camp $280.00

Part 8) $124

Part 9) (−$11) ⋅ 12

Part 10) -27 ft

Step-by-step explanation:

Part 1)

Let

x ------> the number of days

we now that

The total distance jogged must be equal to the distance jogged each day multiplied by the number of days

$9\frac{1}{2}=\frac{1}{4}x$

Solve for x

$x=\frac{9\frac{1}{2}}{\frac{1}{4}}$

therefore

The number of days is

9 and 1 over 2 divided by 1 over 4

Part 2)

Let

x ----> the number of catalogs

we know that

To find out the number of catalogs, divide the wide of the shelf by the thick of each catalog

$x=\frac{\frac{72}{5}}{\frac{4}{5}} =\frac{72}{4}= 18\ catalogs$

therefore

18, because the number of catalogs is 72 over 5 divided by 4 over 5

Part 3) Convert 16 over 5 to a decimal

we know that

$\frac{16}{5}=16(\frac{1}{5})=16(0.2) =3.2$

Part 4) How can 33 over 9 be expressed as a decimal?

we know that

$\frac{33}{9}= 3.666666...$ ----> is a repeating decimal

therefore

3.6 with bar over 6

Part 5) Which of the following numbers can be expressed as repeating decimals?

Verify each case

case a) 4 over 7

$\frac{4}{7}= 0.571428571428571428...$ ----> is a repeating decimal

case b) 2 over 5

$\frac{2}{5}=0.40$ ----> is a terminating decimal

case c) 7 over 8

$\frac{7}{8}=0.875$ ----> is a terminating decimal

case d) 4 over 9

$\frac{4}{9}=0.44444...$ ----> is a repeating decimal

therefore

4 over 7 and 4 over 9

Part 6) Which of the following rational numbers is equal to 4 point 7 with bar over 7 ?

Verify each case

case a) 43 over 9

$\frac{43}{9}= 4.77777...$

case b) 49 over 9

$\frac{49}{9}= 5.444444...$

case c) 35 over 9

$\frac{35}{9}= 3.888888...$

case d) 32 over 9

$\frac{32}{9}= 3.55555...$

therefore

43 over 9

Part 7)

we know that

1)Benny deposited $92.50 into his account every month for 10 month

so

$\$92.50(10)=\$925.00$

2) He used $36.50 every month to pay for art lessons

$\$925.00-10(\$36.50)=\$560.00$ -----> total money left in his account after 10 months

3) After 10 months, he used 1 over 2 of the total money left in his account to go to a summer camp for artists

so

$(1/2)(\$560)=\$280.00$

therefore

Benny spent to go to the summer camp $280.00

Part 8)

we know that

1) Mini earned $160 during the summer doing chores

2) She bought 3 dresses worth $12 each using her chore money.

so

$3(\$12)=\$36$

To find out how much money was left, subtract $36 from the amount earned during the summer doing chores

$\$160-\$36=\$124$

therefore

$124

Part 9)

we have

1 year=12 months

Let

x ----> the total deductions for the year

we know that

The total deductions for the year is equal to the Ryan's tennis club membership multiplied by the number of a months in a year

so

$x=(-\$11)12=-\$132$

therefore

(−$11) ⋅ 12

Part 10)

we know that

The total depth of a submarine is 45 ft

$15\%=15/100=0.15$

15% of 45 ft is

(0.15)(45)=6.75 ft

using proportion

Find out the deep after 4 minutes

Let

x ----> the deep after 4 minutes

$\frac{6.75}{1}\frac{ft}{min}=\frac{x}{4}\frac{ft}{min}\\\\x=6.75(4)\\\\x=27\ ft$

therefore

-27 ft

Mathematics

George jogged a total distance of 9 and 1 over 2 miles during the months of october and november. if george only jogged 1 over 4 mile every day, which expression shows the number of days in which he went jogging? (5 points) 9 and 1 over 2 multiplied by 1 over 4 9 and 1 over 2 plus 1 over 4 9 and 1 over 2 divided by 1 over 4 9 and 1 over 2 minus 1 over 4 4. (02.01 hc) freddy has a shelf that is 72 over 5 inches wide. how many catalogs can freddy arrange on the shelf if each catalog is 4 over 5 of an inch thick? (5 points) 11, because the number

Step-by-step answer

P Answered by PhD

4

Part 1) 9 and 1 over 2 divided by 1 over 4

Part 2) 18, because the number of catalogs is 72 over 5 divided by 4 over 5

Part 3) 3.2

Part 4) 3.6 with bar over 6

Part 5) 4 over 7 and 4 over 9

Part 6) 43 over 9

Part 7) Benny spent to go to the summer camp $280.00

Part 8) $124

Part 9) (−$11) ⋅ 12

Part 10) -27 ft

Step-by-step explanation:

Part 1)

Let

x ------> the number of days

we now that

The total distance jogged must be equal to the distance jogged each day multiplied by the number of days

$9\frac{1}{2}=\frac{1}{4}x$

Solve for x

$x=\frac{9\frac{1}{2}}{\frac{1}{4}}$

therefore

The number of days is

9 and 1 over 2 divided by 1 over 4

Part 2)

Let

x ----> the number of catalogs

we know that

To find out the number of catalogs, divide the wide of the shelf by the thick of each catalog

$x=\frac{\frac{72}{5}}{\frac{4}{5}} =\frac{72}{4}= 18\ catalogs$

therefore

18, because the number of catalogs is 72 over 5 divided by 4 over 5

Part 3) Convert 16 over 5 to a decimal

we know that

$\frac{16}{5}=16(\frac{1}{5})=16(0.2) =3.2$

Part 4) How can 33 over 9 be expressed as a decimal?

we know that

$\frac{33}{9}= 3.666666...$ ----> is a repeating decimal

therefore

3.6 with bar over 6

Part 5) Which of the following numbers can be expressed as repeating decimals?

Verify each case

case a) 4 over 7

$\frac{4}{7}= 0.571428571428571428...$ ----> is a repeating decimal

case b) 2 over 5

$\frac{2}{5}=0.40$ ----> is a terminating decimal

case c) 7 over 8

$\frac{7}{8}=0.875$ ----> is a terminating decimal

case d) 4 over 9

$\frac{4}{9}=0.44444...$ ----> is a repeating decimal

therefore

4 over 7 and 4 over 9

Part 6) Which of the following rational numbers is equal to 4 point 7 with bar over 7 ?

Verify each case

case a) 43 over 9

$\frac{43}{9}= 4.77777...$

case b) 49 over 9

$\frac{49}{9}= 5.444444...$

case c) 35 over 9

$\frac{35}{9}= 3.888888...$

case d) 32 over 9

$\frac{32}{9}= 3.55555...$

therefore

43 over 9

Part 7)

we know that

1)Benny deposited $92.50 into his account every month for 10 month

so

$\$92.50(10)=\$925.00$

2) He used $36.50 every month to pay for art lessons

$\$925.00-10(\$36.50)=\$560.00$ -----> total money left in his account after 10 months

3) After 10 months, he used 1 over 2 of the total money left in his account to go to a summer camp for artists

so

$(1/2)(\$560)=\$280.00$

therefore

Benny spent to go to the summer camp $280.00

Part 8)

we know that

1) Mini earned $160 during the summer doing chores

2) She bought 3 dresses worth $12 each using her chore money.

so

$3(\$12)=\$36$

To find out how much money was left, subtract $36 from the amount earned during the summer doing chores

$\$160-\$36=\$124$

therefore

$124

Part 9)

we have

1 year=12 months

Let

x ----> the total deductions for the year

we know that

The total deductions for the year is equal to the Ryan's tennis club membership multiplied by the number of a months in a year

so

$x=(-\$11)12=-\$132$

therefore

(−$11) ⋅ 12

Part 10)

we know that

The total depth of a submarine is 45 ft

$15\%=15/100=0.15$

15% of 45 ft is

(0.15)(45)=6.75 ft

using proportion

Find out the deep after 4 minutes

Let

x ----> the deep after 4 minutes

$\frac{6.75}{1}\frac{ft}{min}=\frac{x}{4}\frac{ft}{min}\\\\x=6.75(4)\\\\x=27\ ft$

therefore

-27 ft

Computers and Technology

In this program we are going to practice using the Math class by computing some important values on the unit circle. Starting at 0 and going up by PI/4 radians (or 45 degrees), print out information of the format below. Radians: (cos, sin) 0.0: 1.0, 0.0 0.79: 0.7, 0.71 1.57: 0.0, 1.0 2.36: -0.71, 0.7 3.14: -1.0, 0.0 3.93: -0.7, -0.71 4.71: 0.0, -1.0 5.5: 0.71, -0.71 Hints: You’ll need to use the Math.sin, Math.cos methods and the Math.PI constant! You’ll also need to loop from 0 to 2*PI You can round a decimal to 2 decimal places by multiplying

Step-by-step answer

P Answered by PhD

The program in Java is:

import java.lang.*;

public class MyClass {

public static void main(String args[]) {

for(int i= 0;i<360;i+=45){

double angle = Math.round(Math.toRadians(i)*100.0)/100.0;

double cosX = Math.round(Math.cos(angle)*100.0)/100.0;

double sinX = Math.round(Math.sin(angle)*100.0)/100.0;

System.out.println(angle+": "+cosX +" "+ sinX);

}

Explanation:

This line iterates through the angles from 0 to 360 or 0 to 2*Pi

for(int i= 0;i<360;i+=45){

This calculates the angle to radians

double angle = Math.round(Math.toRadians(i)*100.0)/100.0;

This calculats the cosine of the angle rounded to 2 decimal place

double cosX = Math.round(Math.cos(angle)*100.0)/100.0;

This calculats the sine of the angle rounded to 2 decimal place

double sinX = Math.round(Math.sin(angle)*100.0)/100.0;

This prints the required output

System.out.println(angle+": "+cosX +" "+ sinX);

}

Computers and Technology

In this program we are going to practice using the Math class by computing some important values on the unit circle. Starting at 0 and going up by PI/4 radians (or 45 degrees), print out information of the format below. Radians: (cos, sin) 0.0: 1.0, 0.0 0.79: 0.7, 0.71 1.57: 0.0, 1.0 2.36: -0.71, 0.7 3.14: -1.0, 0.0 3.93: -0.7, -0.71 4.71: 0.0, -1.0 5.5: 0.71, -0.71 Hints: You’ll need to use the Math.sin, Math.cos methods and the Math.PI constant! You’ll also need to loop from 0 to 2*PI You can round a decimal to 2 decimal places by multiplying

Step-by-step answer

P Answered by PhD

The program in Java is:

import java.lang.*;

public class MyClass {

public static void main(String args[]) {

for(int i= 0;i<360;i+=45){

double angle = Math.round(Math.toRadians(i)*100.0)/100.0;

double cosX = Math.round(Math.cos(angle)*100.0)/100.0;

double sinX = Math.round(Math.sin(angle)*100.0)/100.0;

System.out.println(angle+": "+cosX +" "+ sinX);

}

Explanation:

This line iterates through the angles from 0 to 360 or 0 to 2*Pi

for(int i= 0;i<360;i+=45){

This calculates the angle to radians

double angle = Math.round(Math.toRadians(i)*100.0)/100.0;

This calculats the cosine of the angle rounded to 2 decimal place

double cosX = Math.round(Math.cos(angle)*100.0)/100.0;

This calculats the sine of the angle rounded to 2 decimal place

double sinX = Math.round(Math.sin(angle)*100.0)/100.0;

This prints the required output

System.out.println(angle+": "+cosX +" "+ sinX);

}

Mathematics

1. Divide. Write your answer as a fraction in simplest form. −710÷25= 2.Divide. Write your answer in simplest form. −89÷(−89)= 3.Divide. Write your answer as a fraction in simplest form. −15÷20 4.Divide. Write your answer as a decimal. −9÷7.2= 5.Divide. Write your answer as a decimal. −3.45÷(−15)= 6.Multiply. Write your answer as a fraction in simplest form. −14×(−43)= 7.Multiply. Write your answer in simplest form. −313⋅(−2710)= 8.Multiply. Write your answer as a decimal. 0.4×(−0.03)= 9.How many 0.75-pound packages can you make with 6 pounds of

Step-by-step answer

P Answered by Specialist

Step-by-step explanation:

hey, hope this helps and right

$1. Divide. Write your answer as a fraction in simplest form. −710÷25= 2.Divide. Write your answer$

Mathematics

NFL’s Passer Ratings On this worksheet you will find out how players are given a passer rating in football and the formula behind it. Show all work for credit. INTRODUCTION Green Bay Packers fans were treated to the best performance in Aaron Rodgers career Sunday – at least by one metric – when he delivered a perfect quarterback rating of 158.3 in a 42-24 win over the Oakland Raiders. It s the first time a Packers quarterback has finished a game with a perfect mark. In 2008, there was but one quarterback — the Chargers’ Philip Rivers — who notched

Step-by-step answer

P Answered by Master

Step-by-step explanation:

there air bethlehems

Mathematics

NFL’s Passer Ratings On this worksheet you will find out how players are given a passer rating in football and the formula behind it. Show all work for credit. INTRODUCTION Green Bay Packers fans were treated to the best performance in Aaron Rodgers career Sunday – at least by one metric – when he delivered a perfect quarterback rating of 158.3 in a 42-24 win over the Oakland Raiders. It s the first time a Packers quarterback has finished a game with a perfect mark. In 2008, there was but one quarterback — the Chargers’ Philip Rivers — who notched

Step-by-step answer

P Answered by Master

Step-by-step explanation:

there air bethlehems

Mathematics

You can buy jars of the same jam in 2 sizes large jar:440g for £1.54 small jar:340g for £1.26 By considering the price per gram, work out which jar is the best value for money. Working must be shown

Step-by-step answer

P Answered by PhD

Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram

Mathematics

An ice cream shop offers 5 different flavors of ice cream and 9 different toppings. How many choices are possible for a single serving of ice cream with one topping?

Step-by-step answer

P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45

Mathematics

Deanna gets 3 problems incorrect on a math quiz. Her score is 85%. How many questions are on the quiz?

Step-by-step answer

P Answered by PhD

The answer is in the image

why do you multiply 75/2 by 4/43 to divide 37 1/2 by 10 3/4

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