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noname [10]
3 years ago
6

On a math test, Johnny made a raw score of 95 on a 40 question test. The correct answers were given 5 points each while incorrec

t answers deducted 2 points each. If Johnny answered all of the questions, how many questions did Johnny correctly answer?
Mathematics
1 answer:
Sidana [21]3 years ago
8 0
X - the number of questions he answered correctly
y - the number of questions he answered incorrectly

There were 40 questions on the test.
x+y=40 \\ y=40-x

The correct answers were given 5 points each, the incorrect answers were given -2 points each. He made a score of 95.
5x-2y=95 \\
-2y=95-5x \\
y=-\frac{95}{2}+\frac{5}{2}x


Set 40-x and (-95/2)+(5/2)x equal to each other:
40-x=-\frac{95}{2}+\frac{5}{2}x \\
-x-\frac{5}{2}x=-\frac{95}{2}-40 \\
-\frac{2}{2}x-\frac{5}{2}x=-\frac{95}{2}-\frac{80}{2} \\
-\frac{7}{2}x=-\frac{175}{2} \\
x=-\frac{175}{2} \times (-\frac{2}{7}) \\
x=\frac{175}{7} \\
x=25

Johnny answered correctly 25 questions.
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6 0
3 years ago
A circle with the diameter of 40 inches. what is the area?
Vsevolod [243]

Answer:

<em>A= 1256</em>

Step-by-step explanation:

<u>The formula for area of a circle is </u>A=\pi r^{2}

1. Diameter is DOUBLE of radius, so the diameter must be divided by 2. <em>40/2 = 20. </em>

<em>2. </em>Then, plug in the values into the area formula. <em>A= 3.14</em>(20^{2})

3. Solve.<em> A= 1256</em>. (Remember that 20 squared is <em>20x20</em>)

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3 years ago
Find P 20 of the following arithmetic sequence: 206, 212, 218, 224....
Yanka [14]

Answer:

p_{20} = 1.25528

P₀ = 206 and difference d = 6

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the arithmetic sequence

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P₀ = 206 and difference d = 212-206 = 6

The n^{th} term of the sequence

   t_{n} = ar^{n-1}

<u><em>Step(ii):-</em></u>

The n^{th} term of the sequence

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Put n=20

P_{20} = 206 ( 6) ^{20-1}

p_{20} = 1.25528

7 0
2 years ago
Please need help on this please
vichka [17]
You should look it up online search that link and see if you find the answers!
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2 years ago
How does the value of log2^100 compare with the value of log6^20?
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3 years ago
Read 2 more answers
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