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2 years ago

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pls help. Natalia paid $38.95 for three medium-sized pizzas and a salad. If Natalia paid $11.98 for the salad, how much did each

pizza cost?

1 answer:

blagie [28]2 years ago

3 0

38.95-11.98=26.97
26.97/3=$8.99

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Now if the sin of 30° is a half that would mean that cos of 60° is also a half.

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Madisyn is planting crops in a triangular garden. She is trying to find the amount of fencing

MrRissso [65]

Answer:

Fencing needed = 20.8 units

Step-by-step explanation:

From the figure attached,

Given: Triangle ABC with vertices A(0, 6), B(6, 5) and C(5, -1).

We have to find the length of fence required to cover the triangular garden.

Amount of fencing required = Perimeter of the triangular garden

Perimeter of the garden = AB + BC + AC

Formula to get the distance between A and B,

d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

AB = $\sqrt{(0-6)^2+(6-5)^2}$ = $\sqrt{37}$

BC = $\sqrt{(6-5)^2+(5+1)^2}$ = $\sqrt{37}$

AC = $\sqrt{(0-5)^2+(6+1)^2}$ = $\sqrt{74}$

Perimeter = $\sqrt{37}+\sqrt{37}+\sqrt{74}$

= 6.08 + 6.08 + 8.60

= 20.76

≈ 20.8 units

Therefore, amount of fencing required to cover the triangular park is 20.8 units.

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2 years ago

A test has 50 questions. each right answer is worth 2 points; each wrong answer deducts 0.5 points; blank answers are not counte

mestny [16]

ANSWER: There are 2 blank answers

EXPLANATION

Let

The number of right answers be ‘r’

The number of wrong answers be ‘w’

The number of blank answers be ‘b’

r + w + b = 50

This means r + w ≤ 50

Then we know,

Right answers = 2 marks

Wrong answers = -0.5 mark

Blank Answers = 0 marks

2r – 0.5w = 88.5

2r = 88.5 + 0.5w … (Equation I)

Since the score as .5, we know that there is at least one wrong answer, and the number of wrong answers is an odd number.

Since the score is 88.5, and each right answer gives 2 marks

There are at more than 44 (i.e. 88/2) right answers

Since r + w ≤ 50, and possible values of w are odd numbers

If r = 45, Possible values of w are 1, 3, and 5

If r = 46, Possible values of w are 1, 3

If r = 47, Possible values of w are 1, 3

If r = 48, The only possible value of w is 1

If r = 49,The only possible value of w is 1

Since 2r = 88.5 + 0.5w (Equation I)

We test for possible values:

If r = 45

2r = 88.5 + 0.5w

2(45) = 88.5 + 0.5w

90 = 88.5 + 0.5w

0.5w = 90 – 88.5

0.5w = 1.5

w = 3

So,

If there are 45 right answers

There are 3 wrong answers

r + w + b = 50

45 + 3 + b = 50

48 + b = 50

b = 50 – 48

b = 2

Then, there are 2 blank answers.

If r = 46

2r = 88.5 + 0.5w

2(46) = 88.5 + 0.5w

92 = 88.5 + 0.5w

0.5w = 92 – 88.5

0.5w = 3.5

w = 7

So,

If there are 46 right answers

There are 7 wrong answers

We know that r + w ≤ 50

46 + 7 = 53

So 46 and higher numbers are not possible solutions.

The only possible solution is:

There are 45 right answers

There are 3 wrong answers

<span>There are 2 blank answers</span>

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2 years ago