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sineoko [7]
2 years ago
6

Ryan spent $15 on a magazine and some notepads. If the magazine cost $5 and each notepad cost $2, then how many notepads did he

buy?
Mathematics
2 answers:
Anna [14]2 years ago
8 0

Answer:

Ryan purchased 5 notebooks

Step-by-step explanation:

you take away the cost of the magazine which leaves you with 10 then you divide 10 by the cost of the notebooks which is 2 and that leaves you with 5

Hope this helped!

Tamiku [17]2 years ago
3 0
Answer
If Ryan spent $15 on a magazine and some notepads, and the notepads each cost $2 and the magazine cost $5 then Ryan bought five notepads.

Explanation
Since we know that the magazine costs five dollars we take 15 in -5 dollars off of that. 15-5 = 10. Now that we have $10 left and we know that the notepads each cost two dollars we divide 10 by 2. 10÷2 = 5. This means that each notepad costs $2 and that he bought five of them. You can check your answer by reversing the equation. If you bought five notepads and they each cost two dollars you spend 10 dollars (5 x 2 = 10).




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Answer:

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During the winter months, there is a decrease of between 10 and 30 percent in business at a certain restaurant. Which of the fol
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  d.  94

Step-by-step explanation:

If business decreases 10%, it is 100% - 10% = 90% of normal.

If business decreases 30%, it is 100% -30% = 70% of normal.

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Answer:

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If triangle CAT is similar to triangle DOG, which of the following statements is incorrect?
jeyben [28]

Answer:

1. triangle TCA ~ triangle GOD

4. If TC/GD=3/2, then m<T/m<G=3/2.

Step-by-step explanation:

<u><em>The statements of the question are</em></u>

1. triangle TCA ~ triangle GOD

2. AT: OG= AC:OD

3. If TC/GD=3/2, then AC/OD=3/2.

4. If TC/GD=3/2, then m<T/m<G=3/2.

5. If the scale factor of triangle CAT to triangle DOG is 3 to 2, then the scale factor of triangle DOG to triangle CAT is 2 to 3.

6. If AC is twice as long as AT, then OD is twice as long as OG

<u><em>Verify each statement</em></u>

1) triangle TCA ~ triangle GOD

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

triangle CAT ~ triangle DOG -----> is given

so

Reorder

Corresponding sides are named using pairs of letters in the same position on either side of the congruence statement

triangle TCA ~ triangle GDO

therefore

The statement is not correct

2). AT: OG= AC:OD

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

triangle CAT ~ triangle DOG -----> is given

so

Applying proportion

\frac{AT}{OG}=\frac{AC}{OD}=\frac{TC}{GD}

The statement is true

3). If TC/GD=3/2, then AC/OD=3/2.

we have that

\frac{AT}{OG}=\frac{AC}{OD}=\frac{TC}{GD} ---> see part 2)

so

\frac{TC}{GD}=\frac{AC}{OD}

therefore

The statement is true

4). If TC/GD=3/2, then m<T/m<G=3/2

Remember that

In two similar triangles, corresponding angles are congruent

so

m\angle T=m\angle G

m\angle T/m\angle G=1

therefore

The statement is false

5). If the scale factor of triangle CAT to triangle DOG is 3 to 2, then the scale factor of triangle DOG to triangle CAT is 2 to 3

we know that

If the scale factor of triangle CAT to triangle DOG is a/b. then  the scale factor of triangle DOG to triangle CAT is b/a

The scale factor will be the reciprocal

therefore

The statement is true  

6). If AC is twice as long as AT, then OD is twice as long as OG

we know that

\frac{AT}{OG}=\frac{AC}{OD}

Reorder

\frac{AT}{AC}=\frac{OG}{OD}

If AC is twice as long as AT ----> AC=2AT

If OD is twice as long as OG ----> OD=2OG

substitute

\frac{AT}{2AT}=\frac{OG}{2OG}

simplify

\frac{1}{2}=\frac{1}{2} ----> is true

therefore

The statement is true

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2 years ago
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