1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Serjik [45]
3 years ago
5

Manuel created a factor tree and wrote the prime factorization of 60 shown below.

Mathematics
2 answers:
Galina-37 [17]3 years ago
5 0

Answer:

Step-by-step explanation:

Manuel does the prime factorization as:

                                         60

                                           ^

                                       4     15

                                       ^

                                     3  5

He placed the arrow under wrong number as he placed the arrow under 4 and 4 is not the prime number and can be factorized as 2, 2.

Also, the arrow should be placed under 15 as 3 and 5 are the factors of 15. Thus, the factor tree should in the form:

                                                    60

                                                      ^

                                                  4      15

                                                           ^

                                                          3   5

nata0808 [166]3 years ago
3 0
"Manuel" here put the arrow in the wrong place. Should be under 15, not 4. PLUS, 4 is not prime, cuz 2 goes into it...
You might be interested in
A loaf of bread costs $0.90. Each loaf has 15 slices. How much does each slice of bread cost?
scoray [572]

Answer:

Each slice of bread costs $0.06.

Step-by-step explanation:

To find how much each slice of bread costs, you need to divide the cost (0.90) by how many slices there are (15). When you divide the two, you get 0.06. To check your answer you can do 0.06x15 and that will equal $0.90.

8 0
3 years ago
Read 2 more answers
Using the following information = Universal set = {2,3,4,5,6,7,8,9,12,13,14,16,20,22,56). Subset A = {9,12,13,20,22,56); Subset
Cloud [144]

\dfrac{2}{5},\dfrac{13}{15},\dfrac{3}{5},\dfrac{1}{5},\dfrac{1}{5}

step-by-step explanation:

The intersection of two sets A and B, denoted by A ∩ B, is the set containing all elements of A that also belong to B.

The union (denoted by ∪) of a collection of sets is the set of all elements in the collection.

P(s) of a set s is defined as ratio of number of elements in s to the number of elements in universal set

given Universalset=\{\text{2,3,4,5,6,7,8,9,12,13,14,16,20,22,56}\}

given A=\{9,12,13,20,22,56\} and H=\{4,5,8,9,16,22\}

and C=\{1,4,20,22,56\}

For Question A:

A∩H=\{9,12,13,20,22,56\} ∩ \{4,5,8,9,16,22\}

=\{9,22}\}

(A∩H)∪C=\{9,22}\} ∪ C=\{1,4,20,22,56\}=\{1,4,9,20,22,56\}

p((A∩H)∪C)=\frac{6}{15}=\frac{2}{5}

For Question B:

H∩C=\{4,22\}

p(H∩C)'=\frac{15-2}{15}=\frac{13}{15}

For Question C:

p(H)'=\frac{15-6}{15}=\frac{3}{5}

For Question D:

C\H=\{1,20,56\}

p(C\H)=\frac{3}{15}=\frac{1}{5}

For Question E:

A\C=\{9,12,13\}

p(A\C)=\frac{3}{15}=\frac{1}{5}

7 0
3 years ago
Solve by elimination 5x-14y=22 -6x+7y=3
Airida [17]
5x - 14y = 22 ⇒   5x - 14y = 22
-6x + 7y =  3  ⇒ <u>12x - 14y = -6</u>
                                    <u>-7x</u> = <u>28</u>
                                     -7     -7
                                       x = -4
                            5x - 14y = 22
                         5(-4) - 14y = 22
                           -20 - 14y = 22
                         <u>+ 20           + 20</u>
                                  <u>-14y</u> = <u>42</u>
                                  -14    -14
                                       y = -3
                                  (x, y) = (-4, -3)
3 0
3 years ago
Two inches is cut from a board. The remaining board is 10 inches long. Write an equation to represent the situation.
Gemiola [76]

Answer:

12-2=10

Step by step explanation:

4 0
2 years ago
2 plus 4 multiplied by negative 6 minus 3 multiplied by 5
Monica [59]

2\text{ + 4}\cdot(-6)\text{ - 3}\cdot5\text{ = 2 -24 - 15 = 2 - 39 = -37}

6 0
1 year ago
Other questions:
  • What is the slope of line t? and what y-intercept of line t?
    14·2 answers
  • Find the area of the polygon. 12 cm12 cm19 cm The area of the polygon is square centimer
    8·1 answer
  • My son's years and mine make 59. When he came to be. I was just 23. How old are we?
    14·2 answers
  • Rewrite the expression using the distributive property 13•(-16)+14•16
    5·1 answer
  • Reflect triangle A in the line y = 1.
    12·1 answer
  • -3r + 18 = 15r please help!!
    11·2 answers
  • Porpotions and percents I NEED HELP THIS IS DUE TODAY!!!!​
    14·1 answer
  • Please find x<br><br> plz help me plz
    6·1 answer
  • The area of a triangle is 162 square meters. the height is 18 meters. what is the base
    11·2 answers
  • The surface area of the Arctic Ocean is approximately 315 square kilometers. The surface area of Lake Ontario is approximately
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!