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ch4aika [34]
2 years ago
10

A store sells both cold and hot beverages. Cold beverages, c, cost $1.50, while hot beverages, h, cost $2.00. On Saturday, drink

receipts totaled $360, and 4 times as many cold beverages were sold as hot beverages.
Which system of linear equations represents the beverage sales on Saturday?
Mathematics
2 answers:
damaskus [11]2 years ago
7 0

Hello!

Your answer should be..

c=4h     ( as there are 4 hours )

1.5c+2h=360

c is 1.50 and h is 2.00 so you must add them to reach 360

Hope this helps! :)

Kazeer [188]2 years ago
4 0

c = 4 times h

Linear equation: 1.5c + 2h = 360

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Bad White [126]

Answer:

The measure of ∠D = (Q) = 28.81

Step-by-step explanation:

Tan(Q) = perpendicular/ base

In this case perpendicular  is BC and base is DC

BC =25   DC = 45

Tan(Q) = BC/DC

Tan(Q) = 25/ 45

Tan(Q) = 5/ 9

(Q) = tan^ -1 (0.55)

(Q) = 28.81

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3 years ago
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Find the perimeter and the area of the polygon with the vertices: (-1, -2), (-6, -2), (-6, -8), (-1, -8)
Irina-Kira [14]

Answer:

a) The perimeter of the rectangle =

= 22 units

b) The area of the rectangle

= 30 square units

Step-by-step explanation:

We solve the above question using the formula

= √(x2 - x1)² + (y2 - y1)²

When we are given vertices (x1, y1) and (x2, y2)

The vertices: (-1, -2), (-6, -2), (-6, -8), (-1, -8)

We have to find the length of the sides

Side A

(-1, -2), (-6, -2)

= √(-6 - (-1))² +( -2 -(-2))²

= √-5² + 0²

= √25

= 5 units

Side B

(-6, -2), (-6, -8)

= √(-6 - (-6))² + (-8 - (-2))²

= √(-6 +6)² + (-8 +2)²

= √0² + -6²

= √36

= 6 units

Side C

(-6, -8), (-1, -8)

= √(-1 - (-6))² +(-8 - (-8))²

= √(-1 + 6)² + (-8 + 8)²

=√ 5² + 0²

= √25

= 5 units

Side D

(-1, -2), (-1, -8)

= √(-1 -(-1))² + (-8 - (-2))²

= √(-1 + 1)² + ( -8 + 2)²

= √0 + -6²

= √0 + 36

= √36

= 6 units

From the above calculation,

Side A = Side C = 5 units

Side B = Side D = 6 units

Hence, this polygon is a quadrilateral called the RECTANGLE.

Therefore:

a) The perimeter of the rectangle =

2L + 2W

= 2(5) + 2(6)

= 10 units + 12 units

= 22 units

b) The area of the rectangle

= Length × Width

= 5 units × 6 units

= 30 square units

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tresset_1 [31]
5.68x10^11
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What is the additive inverse of -5/7x?
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