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a_sh-v [17]
3 years ago
10

30 POINTS A student answered the question, 3 1/2 ÷ 5 4/9. He got the answer 15 9/8. What did he do wrong.

Mathematics
1 answer:
AleksAgata [21]3 years ago
4 0

Answer:

He multiplied the whole numbers and  divided the fractions

Step-by-step explanation:

3 1/2 ÷ 5 4/9

change the mixed numbers to improper fractions

3 1/2 = (2*3 +1)/2 =7/2

5 4/9 = (9*5+4)/9 =49/9

7/2 ÷ 49/9

copy dot flip

7/2 * 9/49

rewrite

7/49 * 9/2

1/7 * 9/2

9/14

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Find two consecutive positive even integers such that the square of the first decreased by 64 equals 3 times the second.
IRINA_888 [86]

Answer:

10 and 12

Step-by-step explanation:

let the consecutive even integers be n and n + 2 , then

n² - 64 = 3(n + 2) ← distribute parenthesis

n² - 64 = 3n + 6 ( subtract 3n + 6 from both sides )

n² - 3n - 70 = 0 ← in standard form

(n - 10)(n + 7) = 0 ← in factored form

Equate each factor to zero and solve for n

n - 10 = 0 ⇒ n = 10

n + 7 = 0 ⇒ n = - 7

Since n must be a positive even integer then n = 10 and n + 2 = 10 + 2 = 12

The 2 numbers are 10 and 12

8 0
3 years ago
Arianna has a coin collection. She keeps 4 of the coins in her box, which is 10% of the
natima [27]

Answer: 40 coins. Doesn't your profile say college?

5 0
3 years ago
The equation and graph of a polynomial are shown below. The graph reachesits minimum when the value ofx is 4. What is the y valu
olga_2 [115]
The y-value of this minimum is 4 .
6 0
3 years ago
you need 3 sticks of butter for every 24 cookies how many cookies can you bake with 5 sticks of butter?
jek_recluse [69]

Answer:

40

Step-by-step explanation:

The first box is 2--> 16*3 divided by 24= 2

Second box is 40--> 5*24 divided by 3= 40

Hope it helps.

5 0
3 years ago
Simplify the expression 4(2x - 3y) ASAP
uranmaximum [27]

Answer:

8x - 12y

Step-by-step explanation:

4(2x-3y)

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4 * 2x = 8x      4 * -3y = -12y

8x - 12y

4 0
4 years ago
Read 2 more answers
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