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____ [38]
3 years ago
12

`jae is costructing an open box froma piece of cardboard that is 9in. wide and 12in. long.

Mathematics
1 answer:
skad [1K]3 years ago
6 0

Answer:4

Step-by-step explanation:

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Step-by-step explanation:

Let x represent the number of bracelets made and let y represent the number of necklace made.

Since the craftsman has 1000 beads to work with, hence:

10x + 20y ≤ 1000    (1)

Also, the craftsman has 1600 minutes, hence:

10x + 40y ≤ 1600   (2)

From ploting equations 1 and 2 on the geogebra online graphing, we can see that the solution to the problem is (40, 30).

Since the bracelet costs $5 and a necklace costs $7.50, hence the maximum revenue is:

Revenue = 5x + 7.5y = 5(40) + 7.5(30) = $425

4 0
3 years ago
Julian is using a biking app that compares his position to a simulated biker traveling Julian's target speed. When Julian is beh
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Answer:

\large \boxed{\text{11 km/h}}

Step-by-step explanation:

1. The situation after 15 min:

(a) Distance travelled by simulated biker:

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\text{Distance} = \dfrac{1}{4}\text{ h} \times \dfrac{\text{20 km}}{\text{1 h}} = \text{5 km}

(b) Distance travelled by Julian

Julian is 2¼ km behind  the biker. The distance he has travelled is (5 - 2¼) km

5 - 2¼ = 5 - ⁹/₄ = ²⁰/₄ - ⁹/₄ = ¹¹/₄ = 2¾

Julian has travelled 2¾ km in ¼ h.

2. Julian's average speed

\text{Speed} = \dfrac{\text{Distance}}{\text{Time}} = \dfrac{2\frac{3}{4}\text{ km}}{\frac{1}{4}\text{ h}} =\dfrac{11}{4}\text{ km}\times \dfrac{4}{\text{1 h}} = \textbf{11 km/h}\\\\\text{Julian's average speed is $\large \boxed{\textbf{11 km/h}}$}

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Latitud y longitud de la República Dominicana
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Step-by-step explanation:

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295×((((1+0.1÷4)^(4×6)−1)
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