translate the exxpression
twice a dnumber divided by 5
Twice a number divided by 5.
Find the sum: 78+13
(1 point)
Responses
811
8 over 11
88
8 eighths
1524
1 and 5 over 24
1324
The sum of 78 and 13 is 91.
Which proportion correctly sets up this problem: Jeremy and his four friends are splitting 34
of a pizza. How much pizza will each friend get?(1 point)
Responses
4 friends34 pizza = 1 friend? pizza
4 friends34 pizza = 1 friend? pizza
5 friends34 pizza = 1 friend? pizza
5 friends34 pizza = 1 friend? pizza
4 friends1 friend = 34 pizza? pizza
4 friends1 friend = 34 pizza? pizza
5 friends34 friends = 1 pizza? pizza
The correct proportion to set up this problem is: 4 friends / 34 pizza = 1 friend / ? pizza
Which proportion correctly sets up this problem: Jeremy and his four friends are splitting 34
of a pizza. How much pizza will each friend get?(1 point)
Responses
4 friends34 pizza = 1 friend? pizza
4 friends34 pizza = 1 friend? pizza
5 friends34 pizza = 1 friend? pizza
5 friends34 pizza = 1 friend? pizza
4 friends1 friend = 34 pizza? pizza
4 friends1 friend = 34 pizza? pizza
5 friends34 friends = 1 pizza? pizza a b c or d
The correct proportion to set up this problem is: 34 pizza / 4 friends = ? pizza / 1 friend
Sarah has walked 2 1/3
miles on Monday and Tuesday. She wants to walk a total of 5 1/2
miles this week. How many miles does Sarah still need to walk?(1 point)
a 7 5/6 miles
b 12 5/6 miles
c 2 5/14 miles
d 3 1/6 miles
To find out how many more miles Sarah needs to walk, we subtract the total distance walked from the target distance:
5 1/2 miles - 2 1/3 miles
To subtract fractions, we need to have a common denominator. In this case, the common denominator for 2/3 and 1/3 is 3.
Converting 5 1/2 to a mixed fraction gives us 5/2.
So, the subtraction becomes:
5/2 - 2/3
To subtract fractions, we need a common denominator. The common denominator for 2 and 3 is 6.
Converting 5/2 (which is the same as 10/6) to have a denominator of 6 gives us:
10/6 - 4/6 = 6/6
However, 6/6 is equivalent to 1 whole, indicating that Sarah has already walked the desired distance. Therefore, she doesn't need to walk any more miles.
The correct answer is d) 3 1/6 miles.
Which expression is equivalent to 5(2−3)
?(1 point)
Responses
7−8
7 minus 8
10−3
10 minus 3
10−15
10 minus 15
2−15
The expression 5(2−3) simplifies as follows:
5(2−3) = 5(-1) = -5
The equivalent expression is -5.
Therefore, none of the given options match the equivalent expression.
Which expression is equivalent to 12+42
?(1 point)
Responses
6(2+7)
6 times open paren 2 plus 7 close paren
12(1+4)
12 times open paren 1 plus 4 close paren
6(6+36)
6 times open paren 6 plus 36 close paren
12(12+30)
The expression 12+42 simplifies as follows:
12+42 = 54
The equivalent expression is 54.
Therefore, the correct answer is none of the given options.
Find the GCF of 78 and 86.(1 point)
Responses
3
3
86
86
1
1
2
To find the Greatest Common Factor (GCF) of 78 and 86, we can factorize each number:
Factors of 78: 1, 2, 3, 6, 13, 26, 39, 78
Factors of 86: 1, 2, 43, 86
The common factors between 78 and 86 are 1 and 2.
Therefore, the GCF of 78 and 86 is 2.
The correct answer is 2.
What is the greatest common factor of 45 and 54?(1 point)
Responses
To find the greatest common factor (GCF) of 45 and 54, we can factorize each number:
Factors of 45: 1, 3, 5, 9, 15, 45
Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54
The common factors between 45 and 54 are 1, 3, and 9.
Therefore, the GCF of 45 and 54 is 9.
The correct answer is 9.
Greatest Common Factor Quick Check
3 of 53 of 5 Items
Question
Find the greatest common factor of 17 and 51.(1 point)
Responses
17
17
51
51
3
3
1
To find the greatest common factor (GCF) of 17 and 51, we can factorize each number:
Factors of 17: 1, 17
Factors of 51: 1, 3, 17, 51
The common factor between 17 and 51 is 17.
Therefore, the GCF of 17 and 51 is 17.
The correct answer is 17.
A rabbit is packing lunches for his children. He has 90 carrots and 72 leaves of lettuce. If he is giving each bunny the same number of carrots and the same number of leaves of lettuce, how many baby bunnies must he have? He will have no extra vegetables after he packs the lunches.(1 point)
Responses
9
9
6
6
18
18
3
To determine the number of baby bunnies the rabbit must have, we need to find the greatest common factor (GCF) of 90 and 72, as the rabbit wants to distribute an equal number of carrots and leaves.
Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The common factors between 90 and 72 are 1, 2, 3, 6, 9, and 18.
Therefore, the GCF of 90 and 72 is 18.
To ensure that there are no extra vegetables after packing the lunches, the rabbit must have 18 baby bunnies.
The correct answer is 18.
Greatest Common Factor Quick Check
5 of 55 of 5 Items
Question
A carnival game gives variety bags as prizes. The game operator uses 100 balloons and 68 stickers to put into a certain number of bags. How many balloons and how many stickers can go in each bag if they make the greatest number of bags possible so that each bag has the same number of balloons and the same number of stickers?(1 point)
Responses
4 balloons and 4 stickers
4 balloons and 4 stickers
25 balloons and 17 stickers
25 balloons and 17 stickers
50 balloons and 34 stickers
50 balloons and 34 stickers
17 balloons and 25 stickers
To determine how many balloons and stickers can go in each bag, we need to find the greatest common factor (GCF) of 100 and 68, as the goal is to distribute an equal number of balloons and stickers.
Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
Factors of 68: 1, 2, 4, 17, 34, 68
The common factors between 100 and 68 are 1, 2, and 4.
Therefore, the GCF of 100 and 68 is 4.
To ensure that each bag has the same number of balloons and stickers, we divide the total number of balloons and stickers by the GCF:
100 balloons ÷ 4 = 25 balloons in each bag
68 stickers ÷ 4 = 17 stickers in each bag
Therefore, each bag can have 25 balloons and 17 stickers.
The correct answer is 25 balloons and 17 stickers.
What is the greatest common factor of 88 and 99?(1 point)
The greatest common factor of 88 and 99 is
To find the greatest common factor (GCF) of 88 and 99, we can factorize each number:
Factors of 88: 1, 2, 4, 8, 11, 22, 44, 88
Factors of 99: 1, 3, 9, 11, 33, 99
The common factors between 88 and 99 are 1 and 11.
Therefore, the GCF of 88 and 99 is 11.
The correct answer is 11.
What is the GCF of 87 and 93?(1 point)
The GCF of 87 and 93 is
.
To find the greatest common factor (GCF) of 87 and 93, we can factorize each number:
Factors of 87: 1, 3, 29, 87
Factors of 93: 1, 3, 31, 93
The common factors between 87 and 93 are 1 and 3.
Therefore, the GCF of 87 and 93 is 3.
The correct answer is 3.
What is the greatest common factor of 19 and 38?(1 point)
The greatest common factor of 19 and 38 is
.
To find the greatest common factor (GCF) of 19 and 38, we can factorize each number:
Factors of 19: 1, 19
Factors of 38: 1, 2, 19, 38
The common factor between 19 and 38 is 19.
Therefore, the GCF of 19 and 38 is 19.
The correct answer is 19.
Devon is making treat bags to pass out to his cousins at the next family party. He has 25 stickers and 15 pieces of fruit. He wants each of the treat bags to have the same number of stickers. He also wants each of the treat bags to have equal numbers of pieces of fruit. He does not want to have any stickers or pieces of fruit left over. What is the greatest number of bags he can make so that each cousin gets the same number of stickers and the equal number of pieces of fruit?(1 point)
The greatest number of bags is
.
To find the greatest number of bags Devon can make with equal amounts of stickers and pieces of fruit, we need to find the greatest common factor (GCF) of 25 and 15.
The factors of 25 are 1, 5, and 25.
The factors of 15 are 1, 3, 5, and 15.
The common factors between 25 and 15 are 1 and 5.
Therefore, the GCF of 25 and 15 is 5.
This means that Devon can make the greatest number of bags with 5 stickers and 3 pieces of fruit in each bag, ensuring that each cousin gets an equal number of stickers and pieces of fruit.
The correct answer is 5.
A teacher is making back to school supply gifts for his students. He has 72 pencils and 96 erasers. If he is giving each student the same number of pencils and the same number of erasers, how many students are in his class? He will have no extra bags after he distributes them.(1 point)
There must be
students in his class.
To determine the number of students in the teacher's class, we need to find the greatest common factor (GCF) of 72 and 96, as the teacher wants to distribute an equal number of pencils and erasers.
Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The common factors between 72 and 96 are 1, 2, 3, 4, 6, 8, 12, and 24.
Therefore, the GCF of 72 and 96 is 24.
To ensure that there are no extra supplies after distributing them, the teacher must have 24 students in the class.
The correct answer is 24 students.
Which term describes information directly stated in a text?(1 point)
Responses
educated guesses
educated guesses
explicit details
explicit details
inferences
inferences
questions
The term that describes information directly stated in a text is "explicit details".
How is an inference different from a guess?(1 point)
Responses
Inferences are made before reading the text while guesses are made after reading.
Inferences are made before reading the text while guesses are made after reading.
Inferences are not based on anything from the text while guesses are made only using the text.
Inferences are not based on anything from the text while guesses are made only using the text.
Inferences are based on evidence in the text while guesses are not.
Inferences are based on evidence in the text while guesses are not.
Inferences are made by only using major details from the text while guesses only use minor details.
The correct response is: Inferences are based on evidence in the text while guesses are not.
An inference is a conclusion or deduction that you make based on evidence or reasoning from the text or information provided. It involves using clues or information provided in the text to draw a logical conclusion.
A guess, on the other hand, is based purely on speculation or personal opinion and does not rely on any evidence or reasoning from the text. It may not have any basis in the information presented.
In summary, inferences are grounded in evidence and reasoning from the text, while guesses are based on speculation without any support from the text.