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scoray [572]
3 years ago
13

in a test consisting of 90 questions, Ama answered 75% of the first 40 questions correctly. If she had to get a score of 80% in

the test, (i) how many questions did she answer correctly out of the first 40 questions? (ii) how many questions should she answer correctly out of the 90 questions? (iii) what percentage of the remaining 50 questions should she answer correctly in order to get the 80%?​
Mathematics
1 answer:
Shalnov [3]3 years ago
3 0

Answer:

total question =90

she obtained 75% of first 40 questions

  1. No. of question she got correct in first 40 = 75% * 40 = 30

2. in order to get 80% out of 90,

the no. of questions got correct by Ama = 80% * 90 = 72

3. As she already got 30 c0rrect in first 40 questions, the number of question she needs correct for remaining 50 = (72-30) = 42

percentage = 42/50*100% = 84%

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Bad White [126]

For this case we have the following system of equations:

y = x ^ 2 + 7x + 12\\y = 2x + 8

Equating both equations we have:

x ^ 2 + 7x + 12 = 2x + 8\\x ^ 2 + 7x-2x + 12-8 = 0\\x ^ 2 + 5x + 4 = 0

We must find the solutions, for this we factor. We look for two numbers that, when multiplied, result in 4 and when added, result in 5. These numbers are 4 and 1:

4 + 1 = 5\\4 * 1 = 4

Then, the factorized equation is of the form:

(x + 4) (x + 1) = 0

Thus, the solutions are:

x_ {1} = - 4\\x_ {2} = - 1

We look for solutions for the variable "y":

y_ {1} = 2 (-4) + 8 = -8 + 8 = 0\\y_ {2} = 2 (-1) + 8 = -2 + 8 = 6

Thus, the system solutions are given by:(x_ {1}, y_ {1}): (- 4,0)\\(x_ {2}, y_ {2}): (- 1,6)

ANswer:

(x_ {1}, y_ {1}): (- 4,0)\\(x_ {2}, y_ {2}): (- 1,6)

8 0
3 years ago
Please help me with number #3 and check if the others are correct please I really need help
Sveta_85 [38]
All I can say is 1 and 2 are correct.
6 0
3 years ago
Find the solutions to the system; y=x^2-3x-1 and y=8x-1
PSYCHO15rus [73]

{x}^{2}  - 3x - 1 = 8x - 1 \\  {x}^{2} - 11x = 0 \\ x(x - 11) \\ x = 0 \: or \: x = 11

When x = 0,
y = 8x - 1 \\ y = 0 - 1 \\ y =  - 1

When x = 11
y  = 8(11) - 1 \\ y = 87
x = 0, y = - 1
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Answer is B.

Hope this helps. - M
8 0
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LuckyWell [14K]

Answer

at first I said 1/2 but it's 2/5's.

Step-by-step explanation:

\frac{3}{5}  -  \frac{1}{5 }  =  \frac{2}{5}

3 0
4 years ago
A store is having a 20%-off sale on all merchandise.
lyudmila [28]
This is easy . There is a 20 percent discount which means now it’s only (100-20%) discount.
This is 80% discount.
Money saved is equal to 100-80%
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So now we need to calculate 1 percent of the item without discount .
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5 0
3 years ago
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