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beks73 [17]
3 years ago
10

A company sells boxes of duck calls (d) for $35 and boxes of turkey calls (t) for $45. They make batches of duck calls that fill

6 boxes and batches of turkey calls that fill 8 boxes. The company only has 42 boxes. Which system of equations helps the company plan to make $300?
Mathematics
1 answer:
natali 33 [55]3 years ago
4 0
The batches that make 8 turkey calls.
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To convert<br> Convert 0.75 liter to milliliters.<br> Enter your answer in the box.<br> mL
Alex787 [66]

Answer:

<u>750 mL</u>

Step-by-step explanation:

<u>Unit Conversion Rate</u>

  • 1 Liter (L) = 1000 Milliliters (mL)

<u>Solving</u>

  • 1 x 0.75 L = 1000 x 0.75 mL
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8 0
2 years ago
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Under a dilation, triangle XYZ where X(4, 7), Y(-3, 8), and Z(-2, -1) becomes triangle X’Y’Z’ where X’(12, 21), Y’(-9, 24), and
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3 years ago
The triangle and the trapezoid have the same area. Base b2 is twice the length of base b1. What are the lenghts of the bases of
Sati [7]

Answer:

<h2>The lengths of the bases of the trapezoid:</h2><h2>42/h cm and 84/h cm.</h2>

Step-by-step explanation:

The formula of an area of a triangle:

A=\dfrac{bh}{2}

<em>b</em><em> </em>- base

<em>h</em> - height

We have <em>b = 21cm, h = 6cm</em>.

Substitute:

A=\dfrac{(21)(6)}{2}=63\ cm^2

The formula of an area of a trapezoid:

A=\dfrac{b_1+b_2}{2}\cdot h

<em>b₁, b₂</em> - bases

<em>h</em><em> - </em>height

We have <em>b₁ = 2b₂</em>, therefore <em>b₁ + b₂ = 2b₂ + b₂ = 3b₂</em>.

The area of a triangle and the area of a trapezoid are the same.

Therefore

\dfrac{3b_2}{2}\cdot h=63         <em>multiply both sides by 2</em>

3b_2h=126          <em>divide both sides by 3</em>

b_2h=42         <em>divide both sides by h</em>

b_2=\dfrac{42}{h}

b_1=2b_2\to b_1=2\cdot\dfrac{42}{h}=\dfrac{84}{h}

8 0
3 years ago
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Stells [14]

Answer:

See the attached figure.

Step-by-step explanation:

Modeling each part as a function.

Let x is hours of the working day

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y₃ = 20x + c , x ∈ [5,9]

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y₃ = 20x + 140 , x ∈ [5,9]

The graph models the piecewise function for the given situation is as shown in the attached figure.

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OverLord2011 [107]

Answer:

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Step-by-step explanation:

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