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slamgirl [31]
3 years ago
13

Ms. Swanson asked the question, "How does knowing the fact 6×5 help you find 60×500?" Maria answered, "I know 6×5 is 30. Now all

I have to do is count the zeros and I get 3,000." Use place value understanding to explain why her answer is incorrect.
Mathematics
1 answer:
sp2606 [1]3 years ago
6 0

Answer: See explanation

Step-by-step explanation:

Maria is incorrect as she didn't count the number of zeros properly. After knowing that 6 × 5 = 30, the question is 60×500 which means there are 3 zeros that should be added to the 30 that she got, this will have given her a value of 30,000 which is correct.

She write 3000 which is 3 under thousands rather than 30,000 which is 3 under tens of thousands.

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Which answers are examples of deductive reasoning?
Mariulka [41]

Answer:

The fair charges $5 for admission. Tom is going to the fair today. Therefore, Tom will spend $5 for admission to the fair today.

The radius of a circle is one-half the length of the diameter of a circle. The diameter of a circle is 10 ft. Therefore, the radius of the circle is 5 ft.

Step-by-step explanation:

Deductive reasoning or deduction, is one of the two basic types of logical inferences. A logical inference is a connection from a first statement to a second statement for which the rules of logic show that if the first statement is true, the second statement should be true. Basically one logical statement defines the base of the argument to reach the conclusion.

Here we can see that in first case:

The fair charges $5 for admission, so we know the fact that it charges $5 for the admission, now whoever goes to the fair will have to spend $5 to get in. Tom is going to the fair so Tom will spend$5 for admission to the fair. Therefore, this statement is deductive reasoning.

Case 2:

The radius of a circle is one-half the length of the diameter, this sentence is a fact. Now the diameter of a circle is 10ft so it is obvious that based on the previous sentence we will calculate the radius of the circle that is half of the diameter.

So only these two examples are based on deductive reasoning.

3 0
3 years ago
Read 2 more answers
5. Compare 1/7 and 13/90
Olin [163]

Answer:

13/90 > 1/7 or 1/7 < 7/90

Step-by-step explanation:

to compare two rational expression you should make the denominator equal

1/7 ➡ ×90 = 90/630

13/90 ➡ ×7 = 91/630

7 0
3 years ago
Come up with an example of an expression, equation, and inequality.
valentina_108 [34]
Expression (non-algebraic):  3+2
An equation: 2x +1 = 21
An inequality: 2x > 2+2
4 0
3 years ago
Read 2 more answers
Prove 3:8 is equivalent to 12:32 use diagrams to support your answers
Bess [88]

Answer:

12 / 32 ÷ 4/4

12 ÷ 4 = 3

32 ÷ 4= 8

Step-by-step explanation:

To prove equivalency of fractions, we must always break down fractions to it's lowest possible term.

12/ 32 can still be broken further.

Let's divide the numerator and denominator by thesame number

12 / 32 ÷ 4/4

12 ÷ 4 = 3

32 ÷ 4= 8

That's a show that:

12/32 when broken down to it's lowest term becomes 3/8

Please find attached a chart. Compare fractions of shaded to unshaded to give a clearer understanding of equivalent fraction.

8 0
4 years ago
in a given classroom the number of girls is 10 greater than number of boys if the ratio of the number of girls to the number of
Xelga [282]

Answer:

a) 35,  b) 25,  c) 60

Step-by-step explanation:

The number of girls is 10 more than the number of boys, so it's a good thing to choose a variable to represent the number of boys.

Number of boys:  b

Number of girls:  b + 10

Ratio of girls:boys is 7:5, so

\frac{b+10}{b}=\frac{7}{5}

"Cross multiply" to get

7b=5(b+10)\\7b=5b+50\\2b=50\\b=25

There are 25 boys.  There are 10 more girls, so the number of girls is 35, and the total number of students is 60.

That's a packed classroom!

8 0
3 years ago
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