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Arte-miy333 [17]
3 years ago
13

Antonio purchased adult and child tickets for the fair. Tickets cost $29.35 for each adult and $17.45 for each child. Let x repr

esent the number of adult tickets purchased and y represent the number of child tickets purchased. Write an expression to represent the total cost of the tickets Antonio purchased.
A: $29.35y + $17.45x

B: $29.35x + $17.45y

C: ($29.35 + $17.45)(x + y)

D: ($29.35 - $17.45)(x + y)
Mathematics
2 answers:
RoseWind [281]3 years ago
5 0
Its B because it say each and htat mean multiply so x is the adults it would go with  the price which is 29.35x plusthe children price which is 17.45y

inna [77]3 years ago
5 0

Answer:

B

Step-by-step explanation:

It is $29.35 for each of the tickets that they buy for adults, so to figure out how much it is for all the adult tickets, it would be $29.35 times x. Same for the children tickets except it is times y and the amount of money is different.

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Solve for x. x-0.3x=28
Svetlanka [38]

Answer: x=40

Step-by-step explanation x-0.3x=28

Add similar elements x-0.3x=0.7x

0.7x=28

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0.7x · 10= 28  · 10

Refine

7x=280

Divide both sides by 7

Simplify

x = 40

5 0
2 years ago
There are 8 rows and 8 columns, or 64 squares
lawyer [7]

Complete Question:

There are 8 rows and 8 columns, or 64 squares on a chessboard.

Suppose you place 1 penny on Row 1 Column A,

2 pennies on Row 1 Column B,

4 pennies on Row 1 Column C, and so on …

Determine the number of pennies in Row 1

Determine the number of pennies on the entire chessboard?

Answer:

255 in the first row

18,446,744,073,709,551,615 in the entire board

Step-by-step explanation:

Given

Rows = 8

Columns = 8

Solving (a): Number of pennies in first row

The question is an illustration of geometric sequence which follows

1,2,4....

Where

a =1 --- The first term

Calculate the common ratio, r

r = \frac{T_2}{T_1} = \frac{4}{2} = 2

The number of pennies in the first row will be calculated using sum of n terms of a GP.

S_n = \frac{a(r^n - 1)}{n - 1}

Since, the first row has 8 columns, then

n = 8

Substitute 8 for n, 2 for r and 1 for a in S_n = \frac{a(r^n - 1)}{r - 1}

S_8 = \frac{1 * (2^8 - 1)}{2 - 1}

S_8 = \frac{1 * (256 - 1)}{1}

S_8 = \frac{1 * 255}{1}

S_8 = 255

Solving (b): The entire board has 64 cells.

So:

n = 64

Substitute 64 for n, 2 for r and 1 for a in S_n = \frac{a(r^n - 1)}{r - 1}

S_{64} = \frac{1 * (2^{64} - 1)}{2 -1}

S_{64} = \frac{(2^{64} - 1)}{1}

S_{64} = \frac{(18,446,744,073,709,551,616 - 1)}{1}

S_{64} = \frac{18,446,744,073,709,551,615}{1}

S_{64} = 18,446,744,073,709,551,615

5 0
2 years ago
NO LINKS!!! Find the probability that a randomly chosen point in the figure lies in the shaded region area.​
mezya [45]

Answer:

To find the probability that a randomly chosen point in the figure lies in the <u>shaded region</u>, we need to divide the area of shaded region by the total area of the figure.

<h3><u>Question 36</u></h3>

<u>Total Area</u>

Area of a rectangle = width × length = 8 × 12 = 96 units²

<u>Shaded Region Area</u>

This is made up of 6 congruent circles.

The radius of each circle is 1/6 of the length of the rectangle (or 1/4 of the width).

⇒ radius = 12/6 = 2 units

Area of a circle = πr² = π(2)² = 4π units²

⇒ Shaded region area = 6 circles = 6 × 4π = 24π units²

<u>Probability</u>

= Shaded region area ÷ total area

= 24π ÷ 96

= 0.7853981634...

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<h3><u>Question 37</u></h3>

<u>Total Area</u>

Area of a rectangle = width × length = 16 × 8 = 128 units²

<u>Shaded Region Area</u>

The easiest way to calculate this is to subtract the un-shaded areas from the total area:

⇒ Shaded region area = 128 - 2(2 · 10) = 88 units²

<u>Probability</u>

= Shaded region area ÷ total area

= 88 ÷ 128

= 0.6875

= 68.8% (3 s.f.)

<h3><u>Question 38</u></h3>

<u>Total Area</u>

The radius of the largest circle is the sum of the individual given radii.

⇒ Area of a circle = πr² = π(4 + 4 + 2)² = 100π units²

<u>Shaded Region Area</u>

= Area of a circle with radius (4 + 2) - area of circle with radius 2

= π(6)² - π(2)²

= 32π units²

<u>Probability</u>

= Shaded region area ÷ total area

= 32π ÷ 100π

= 0.32

= 32%

5 0
2 years ago
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hjlf

Answer:

Step-by-step explanation:

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3 years ago
What percent of 240 is 6
alexandr1967 [171]
2.5% Would be your answer.
Does this help any?
~ Korey :)
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2 years ago
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