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guajiro [1.7K]
2 years ago
11

Josie took a multiple choice test. The ratio of problems Josie got incorrect to the number of problems she got correct is 2:9. I

f Josie missed 8 questions how many did she get right
Mathematics
1 answer:
Lisa [10]2 years ago
7 0
The ratio is 2:9
2 x 4 = 8 incorrect problems
9 x 4 = 36
Josie got 36 problems correct.
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Hannah plays bejeweled. She said that there are 28,036 daily users playing bejeweled and that number is 10 times less than the a
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Answer:

If your trying to find the amount of daily users playing FarmVille, it would be 280,360 daily users

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2 years ago
Suppose that a and b are integers, a ≡ 4 ( mod 13 ) and b ≡ 9 ( mod 13 ) . Find the integer c with 0 ≤ c ≤ 12 such that: c ≡ 9 a
g100num [7]

Answer:

A) For c ≡ 9 a ( mod 13 ) ; C is 10

B) For c ≡ 11 b ( mod 13 ) ; C is 8

C) For c ≡ a + b ( mod 13 ); C is 0

D) For c ≡ a² + b² ( mod 13 ); C is 6

E) For c ≡ a² − b² ( mod 13 ) ; C is 0

Step-by-step explanation:

This is a modular arithmetic problem where a ≡ 4 ( mod 13 ) and b ≡ 9 ( mod 13 ).

And 0 ≤ c ≤ 12.

A) c ≡ 9 a ( mod 13 )

Substituting the value of a to obtain;

c ≡ 9 x4 ( mod 13 ) = 36 mod 13

To find 36 mod 13 using the Modulo Method, we first divide the Dividend (36) by the Divisor (13).

Second, we multiply the whole part of the Quotient in the previous step by the Divisor (13).

Then finally, we subtract the answer in the second step from the Dividend (36) to get the answer. Here is the math to illustrate how to get 36 mod 13 using Modulo Method:

36 / 13 = 2.769231

2 x 13 = 26

36 - 26 = 10

Thus, the answer to "What is 36 mod 13?" is 10

So C = 10

B) c ≡ 11 b ( mod 13 ) = 11 x 9 ( mod 13 ) = 99 ( mod 13 )

Using the same method as above,

99 ( mod 13 );

99 / 13 = 7.6155

7 x 13 = 91

99 - 91 = 8

So, C = 8

C)c ≡ a + b ( mod 13 ) = 4 + 9 (mod 13) = 13 (mod 13)

Thus;

13 / 13 = 1

1 x 13 = 13

13 - 13 = 0

So, C = 0

D)c ≡ a² + b² ( mod 13 ) = 4² + 9²( mod 13 ) = 16 + 81 ( mod 13 ) = 97 ( mod 13 )

Thus;

97 / 13 = 7.46154

7 x 13 = 91

97 - 91 = 6

So, C = 6

E)c ≡ a² − b² ( mod 13 )= 4² - 9²( mod 13 ) = 16 - 81 ( mod 13 ) = - 65 ( mod 13 )

Thus;

-65 / 13 = - 5

-5 x 13 = - 65

-65 - (-65) = 0

So, C = 0

3 0
3 years ago
Savannah was paid $87 for 12 hours of babysitting and $65.25 for 9 hours. What is the constant of proportionality that describes
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It should be, B) 7.25.
4 0
3 years ago
Read 2 more answers
How you solve 7p+9=81
Burka [1]
Try and get the variable by its self by -81 from both sides then divide it by 7 and get ur answer.

7 0
2 years ago
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Graph the inequality -n_<-5
katrin [286]

Answer:

See below

Step-by-step explanation:

This is just the same as n≤5, which would look like the attached number line.

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