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Elodia [21]
3 years ago
15

Shana took a test with 50 questions. She lost 2 points for each of the 5 questions she got wrong. She got all 3 extra credit que

stions correct and received 5 points for each. What is the total number of points she gained or lost overall?
Mathematics
1 answer:
jeka57 [31]3 years ago
4 0

Answer:

She gained 5 points in overall

Step-by-step explanation:

Shana lost points for each wrong question = 2

So, She lost points for 5 wrong questions =2 \times 5

She lost points for 5 wrong questions = 10 points

Now, She gained points for each correct question = 5

So, She gained points for 3 correct questions =5 \times 3

She gained points for 3 correct questions =15

So, Overall gain = 15-10 = 5

She gained 5 points in overall

Hence the total number of points gained by her is 5 points

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The length of one side of a triangle is 2 feet less than three times the length of its second side. The length of the third side
seropon [69]

Answer:

  • 7 feet, 3 feet, 7.5 feet

Step-by-step explanation:

Let the sides be a, b and c.

<h3>Given</h3>

The length of one side of a triangle is 2 feet less than three times the length of its second side

  • a = 3b - 2

The length of the third side is 3/4 of the sum of the lengths of the first two sides:

  • c = (3/4)(a + b)

The perimeter of the triangle is 17.5 feet:

  • a + b + c = 17.5

<h3>Solution</h3>

Substitute a with b in the second equation:

  • c = (3/4)(3b - 2 + b) = (3/4)(4b - 2) = (3/4)(4b) - (3/4)(2) = 3b - 1.5

Now substitute a and c with b in the third equation and solve for b:

  • a + b + c = 17.5
  • 3b - 2 + b + 3b - 1.5 = 17.5
  • 7b - 3.5 = 17.5
  • 7b = 17.5 + 3.5
  • 7b = 21
  • b = 3

Find the value of a:

  • a = 3b - 2 = 3*3 - 2 = 9 - 2 = 7

Find the value of c:

  • c = 3b - 1.5 = 3*3 - 1.5 = 9 - 1.5 = 7.5

The sides of the triangle are:

  • a = 7 feet, b = 3 feet, c = 7.5 feet

8 0
2 years ago
Can someone pls help!
stira [4]

Answer:

I'm not quite sure, but I think 3. v= 5 × 32 × 10

and the rest I'm not sure.

7 0
3 years ago
Read 2 more answers
Prove that tan 10+tan 70'+taniou = tanio tanfo'tam 1oo.​
Galina-37 [17]

Question:

Prove that:

tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100)

Answer:

Proved

Step-by-step explanation:

Given

tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100)

Required

Prove

tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100)

Subtract tan(10) from both sides

- tan(10)+tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100) - tan(10)

tan(70) + tan(100) = tan(10). tan(70). tan(100) - tan(10)

Factorize the right hand size

tan(70) + tan(100) = -tan(10)(-tan(70). tan(100) + 1)

Rewrite as:

tan(70) + tan(100) = -tan(10)(1-tan(70). tan(100))

Divide both sides by 1-tan(70). tan(100)

\frac{tan(70) + tan(100)}{1-tan(70). tan(100)} = \frac{-tan(10)(1-tan(70). tan(100))}{1-tan(70). tan(100))}

\frac{tan(70) + tan(100)}{1-tan(70). tan(100)} = -tan(10)

In trigonometry:

tan(A + B) = \frac{tan(A) + tan(B)}{1 - tan(A)tan(B)}

So:

\frac{tan(70) + tan(100)}{1 - tan(70)tan(100)} can be expressed as: tan(70 + 100)

\frac{tan(70) + tan(100)}{1-tan(70). tan(100)} = -tan(10) gives

tan(70 + 100) = -tan(10)

tan(170) = -tan(10)

In trigonometry:

tan(180 - \theta) = -tan(\theta)

So:

tan(180 - 10) = -tan(10)

Because RHS = LHS

Then:

tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100) has been proven

6 0
3 years ago
A line passes through the point (-4,9) and has a slope of
Brilliant_brown [7]

Answer:

y = 4x - 7

Step-by-step explanation:

Given the following data;

Points (x, y) = (4, 9)

Slope, m = 4

To write the equation in point-slope form;

The equation of straight line is y = mx + c

Where;

m is the slope.

x and y are the points

c is the intercept.

First of all, we would find the intercept c;

9 = 4*4 + c

9 = 16 + c

c = 9 - 16

c = -7

Next, we write the equation in point-slope form;

m = 4 and c = -7

y = 4x - 7

8 0
2 years ago
Which are the solutions of x2 = –13x – 4?
AnnyKZ [126]

x=(13±3√17)/2x

≈ 12.68465843, 0.31534156

Which would be 12.7 and 0.3 If you rounded to the nearest tenth.

5 0
3 years ago
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