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marysya [2.9K]
3 years ago
6

On June 15, Paradise Park purchased merchandise for the racetrack. The invoice was for $4,500, terms 2/10, n/30. On June 20, Par

adise Park returned $200 of merchandise for credit. On June 25, it paid the amount owed. The debit to Purchases on June 15 is
a. $4,214.00.
b. $4,786.00.
c. $4,300.00.
d. $4,500.00.
Mathematics
1 answer:
vaieri [72.5K]3 years ago
4 0
The correct answer is letter D. $4,500.00
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370 people bought tickets to a fair. Adult tickets were $7 and kids tickets were $3. Total revenue was $1750. Child tickets are
galina1969 [7]

210 children tickets are sold

<em><u>Solution:</u></em>

Let "x" be the number of child tickets sold

Let "y" be the number of adult tickets sold

Cost of 1 adult ticket = $ 7

Cost of 1 child ticket = $ 3

<em><u>Given that 370 people bought tickets to a fair</u></em>

number of child tickets sold + number of adult tickets sold = 370

x + y = 370 ------ eqn 1

<em><u>Total revenue was $1750. Therefore,</u></em>

number of child tickets sold x Cost of 1 child ticket + number of adult tickets sold x Cost of 1 child ticket = 1750

x \times 3 + y \times 7 = 1750

3x + 7y = 1750 ------ eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

From eqn 1,

x = 370 - y ------- eqn 3

<em><u>Substitute eqn 3 in eqn 2</u></em>

3(370 - y) + 7y = 1750

1110 - 3y + 7y = 1750

4y = 1750 - 1110

4y = 640

<h3>y = 160</h3>

From eqn 3,

x = 370 - 160

<h3>x = 210</h3>

Thus 210 children tickets are sold

7 0
3 years ago
Explain how to find the value of y that would make segment OP parallel to segment LN.
photoshop1234 [79]

Answer:

y = 36

Step-by-step explanation:

Given; the triangle above

Required

Find y

This question falls under the topic/subtopic similar triangles where we need to make comparison between similar sides'

But first, it should be noted that triangle MOP is similar to triangle MLN

This implies that

Side MP is similar to MN

Side MO is similar to  ML

Mathematically; This can be represented as follows;

\frac{MP}{MN} = \frac{MO}{ML}

Where MP =y; MN = y + 18; MO = 28; ML = 28 + 14

Substitute these values in the above expression

\frac{y}{y+18} = \frac{28}{28+14}

\frac{y}{y+18} = \frac{28}{42}

Multiply both sides by 42

42 * \frac{y}{y+18} = \frac{28}{42} * 42

\frac{42y}{y+18} = \frac{28*42}{42}

\frac{42y}{y+18} = 28

Multiply both sides by y + 18

(y+18)*\frac{42y}{y+18} = 28 * (y+18)

42y = 28 * (y+18)

Open Bracket

42y = 28 * y+28 * 18

42y = 28y+504

Subtract 28y from both sides

42y - 28y = 28y - 28y +504

14y = 504

Divide both sides by 14

\frac{14y}{14} = \frac{504}{14}

y = \frac{504}{14}

y = 36

3 0
3 years ago
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As a construction supervisor you must order concrete to fill a mold for a pillar. The volume of the mold is 186 cubic feet concr
kykrilka [37]

Answer:

62 cubic yards

Step-by-step explanation:

<em>This is conversion from feet to yards.</em>

<u>Step 1: Write the ratio of yards to feet.</u>

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<u>Step 2: Find out the volume of mould</u>

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x : 186

<em>Cross multiply</em>

3x = 186

x = 62 yards

Therefore, 62 cubic yards of concrete is needed in order to fill the mould.

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4 years ago
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I WILL MARK BRAINLIEST IF ITS CORRECT
Irina18 [472]

Answer

Step-by-step explanation:

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Write the point-slope form of the line that passes through (5, 5) and is perpendicular to a line with a slope of 1/4. Include al
AleksAgata [21]
Ur given a slope of 1/4. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So our perpendicular line will need a slope of -4. (see how I flipped 1/4 and made it 4/1 or just 4, and then changed the sign making it -4)

y - y1 = m(x - x1)
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y - 5 = -4(x - 5) <== ur perpendicular equation in point-slope form
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