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Artemon [7]
4 years ago
5

You and a classmate have a bug collection for science class. You find 5 out of every 9 bugs in the collection. You find 4 more b

ugs than your classmate. How many bugs are in the collection?
Mathematics
2 answers:
leonid [27]4 years ago
8 0

Answer:

36

Step-by-step explanation:

In this collection, we learn that the ratio of bugs you found to bugs your classmate found is 5:4. A ratio is a mathematical expression that indicates the number of times that one value contains another one. Moreover, we also learn that you found 4 more bugs than your classmate. If we are to maintain the same ratio, we need to multiply both numbers by the same factor. The only option that fulfills these characteristics is 20:16. This means that there are 36 bugs in the collection.

Annette [7]4 years ago
3 0
The answer is in the question, "<span>You find 5 out of every 9 bugs in the collection". So wouldn't there be 9 bugs in the collection and your classmate would've only found 1 bug?</span>
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I need help with this
evablogger [386]

Answer:

A) (-8, -16)

B) (0, 48)

C) (-4, 0), (-12, 0)

Step-by-step explanation:

A) the vertex is the minimum y value.

extremes of a function we get by using the first derivation and solving it for y' = 0.

y = x² + 16x + 48

y' = 2x + 16 = 0

2x = -16

x = -8

so, the vertex is at x=-8.

the y value is (-8)² + 16(-8) + 48 = 64 - 128 + 48 = -16

B) is totally simple. it is f(0) or x=0. so, y is 48.

C) is the solution of the equation for y = 0.

the solution for such a quadratic equation is

x = (-b ± sqrt(b² - 4ac)) / (2a)

in our case here

a=1

b=16

c=48

x = (-16 ± sqrt(16² - 4×48)) / 2 = (-16 ± sqrt(256-192)) / 2 =

= (-16 ± sqrt(64)) / 2 = (-16 ± 8) / 2 = (-8 ± 4)

x1 = -8 + 4 = -4

x2 = -8 - 4 = -12

so the x- intercepts are (-4, 0), (-12, 0)

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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