HMH Middle School Grade 7 Practice Fluency Workbook 1st Edition, Chapter 4 Ratios and Proportionality
HMH Grade 7 Ratios and Proportionality Exercise 4.1 solutions Page 27 Problem 1 Answer
It is given that for 2 batches of nut bars, 4 eggs are needed.
It is required to find the number of eggs required to use in each batch of nut bars.
For that, divide both terms.
For 2 batches of nut bars, 4 eggs are used.
So, it can be written as,2 batches of nut bars =4 eggs.
Similarly,1 batch of nut bars =4/2 eggs.
Hence,1 batch of nut bars=2 eggs.
The number of eggs required in each batch of nut bars is 2.
HMH Middle School Grade 7 Chapter 4 Page 27 Problem 2 Answer
It is given that last week, Alexander was paid $56 for 7 hours of work.
It is required to find the pay per hour.
For that, divide both the terms.
Given, the pay last week was $56 for 7hours of work.
So, it can be written as,7 hours= $56
So,1 hour = $ 56/7
Hence, 1 hour = $8.
Alexander is paid $8 per hour.
Read and Learn More HMH Middle School Grade 7 Practice Fluency Workbook 1st Edition Solutions
HMH Middle School Grade 7 Chapter 4 Page 27 Problem 3 Answer
It is given that Ned has scored 84 points in the first 6 games of the basketball season.
It is required to find that how many points per game Ned has scored.
Practice Fluency Workbook Chapter 4 Exercise 4.1 answers Page 27 Problem 4 Answer
It is given that at the local grocery store, a 16 -ounce bottle of apple juice costs $3.20.
It is required to find the cost of the apple juice per ounce.
To find the cost of the apple juice per ounce, divide $3.20 by 16.
The cost of apple juice per ounce is the value of quotient.
Divide$3.20 by 16.
3.20÷16=31/5⋅1/16
3.20÷16=16/5⋅1/16
3.20÷16=1/5
Hence,3.20÷16=1/5.
The cost of the apple juice per ounce is $1/5 or $0.20.
HMH Middle School Grade 7 Chapter 4 Page 27 Problem 5 Answer
It is given that after 3/4 of a minute, a sloth has moved just 3/8 of a foot.
It is required to find the sloth’s speed in feet per minute.
To find the sloth’s speed in feet per minute, divide 3/8 by 3/4
The number of feet per minute (the speed) is the value of the quotient.
Divide 3/8 by 3/4.
3/8÷3/4=3/8⋅4/3
3/8÷3/4=3⋅4/8⋅3
3/8÷3/4=12/24
3/8÷3/4=1/2
Hence, 3/8÷3/4=1/2.
The sloth’s speed is 1/2 feet per minute.
7th Grade HMH Ratios And Proportionality Exercise 4.1 Step-By-Step Page 27 Problem 6 Answer
It is given that food A contains 150 calories in 3/4 of a serving and food B contains 250 calories in 2/3 of a serving.
It is required to find each unit rate and which food has fewer calories per serving
To find each unit rate, divide 150 by 3/4 and 250 by 2/3
Determining unit rate of food A
=150÷3/4
150÷3/4 =150×4/3
150÷3/4 =150×4/3
150÷3/4 =600/3
150÷3/4 =200
200 calories per serving
Determining unit rate of food B
=250÷2/3
150÷3/4 =250×3/2
150÷3/4 =150×3/2
150÷3/4 =750/2
150÷3/4 =375
375 calories per serving
As 200<375, Food A has fewer calories per serving.
Food A has 200 calories per serving, Food B has 375 calories per serving and Food A has fewer calories per serving
HMH Middle School Grade 7 Chapter 4 Page 28 Problem 7 Answer
A comparison is given as 70 students per 2 teachers.
It is required to express the given comparison as a rate in ratio form.
To express the given comparison as a rate in ratio form, divide 70 by 2.
Determine the rate in ratio form for 70 students per 2 teachers.
=70 students/2 teachers
The rate in ratio form for 70 students per 2 teachers is 70 students/2 teachers.
Ratios Grade 7 Practice Fluency Workbook Help Exercise 4.1 Page 28 Problem 8 Answer
A comparison is given as 3 books in 2 months.
It is required to express the given comparison as a rate in ratio form.
To express the given comparison as a rate in ratio form, divide 3 by 2.
Determine the rate in ratio form for 3 books in 2 months.
=3 books/2 months
The rate in ratio form for 3 books in 2 months is 3 books/2 months.
HMH Middle School Grade 7 Chapter 4 Page 28 Problem 9 Answer
A comparison is given as $52 for 4 hours of work.
It is required to express the given comparison as a rate in ratio form.
To express the given comparison as a rate in ratio form, divide $52 by 4
Determine the rate in ratio form of $52 for 4 hours of work =$52/4hours
The rate in ratio form of $52 for 4 hours of work is $52/4hours
Chapter 4 Ratios and Proportionality Exercise 4.1 HMH Workbook answers Page 28 Problem 10 Answer
A comparison is given as 28 patients for 2 nurses.
It is required to express the given comparison as a unit rate.
To express the given comparison as a rate in ratio form, divide 28 by 2 and then make the denominator 1.
Divide 28 by 2.
28 patients/2 nurses
Make the denominator equal to 1.
Divide both the numerator and the denominator by 2.
28/2
2/2=14/1
Hence.
The unit rate of $52 for 28 patients for 2 nurses is 14 patients/1 nurses.
HMH Middle School Grade 7 Chapter 4 Page 28 Problem 11 Answer
A comparison is given as 5 quarts for every 2 pounds.
It is required to express the given comparison as a unit rate.
To express the given comparison as a rate in ratio form, divide 5 by 2 and then make the denominator 1.
Divide 5 by 2.
5quartz/2pounds
Make the denominator equal to 1.
Divide both the denominator and the numerator by 2.
5/2=5/2
2/2
5/2=2.5 /1
Hence, 5/2=2.5 /1.
The unit rate of 5 quarts for every 2 pounds is 2.5quarts/1pound.
Step-By-Step Ratios Solutions For 7th Grade Exercise 4.1 Page 28 Problem 12 Answer
It is given, 3 ounces for every 3/4 cup.
It is required to find the unit rate.
In order to find the unit rate, form an expression using the given information and simplify.
To begin with, make an expression using the given information to evaluate unit rate.
So, the expression is 3÷3/4.
Further, find the multiplicative inverse of 3/4.
So, multiplicative inverse of 3/4 is 4/3.
Now, multiply 4/3 to 3.
3÷3/4=3×4/3
3÷3/4 =4/1
Hence, as evaluated, the unit rate is 4 ounces per cup.
The unit rate is 4 ounces per cup.
HMH Middle School Grade 7 Chapter 4 Page 28 Problem 13 Answer
It is given, 32/3 feet per 11/60 hour.
It is required to find the unit rate.
In order to find the unit rate, form an expression using the given information and simplify.
To begin with, make an expression using the given information to evaluate unit rate.
So, the expression is 32/3÷11/60=11/3÷11/60.
Further, find the multiplicative inverse of 11/60.
So, multiplicative inverse of 11/60 is 60/11.
Now, multiply 60/11 to 11/3.
11/3÷11/60=11/3×60
11/=20/1
Hence, as evaluated, the unit rate is 20feet per hour.
The unit rate is 20 feet per hour.