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natita [175]
3 years ago
8

since Joe catches for fish today Melissa sketches to fish the amount of Joe's Fish is always greater Joe's Fish is also always t

wice as much as melissa's fish. Today , both melissa and joe have no fish. They both go fishing each day. Melisa catches 2 fish each day. Joe catches 4 fish each day. How many fish do they have after each of the five days? Make a graph of the number of fish. Plot the points on a coordinate plane and make a line graph, and then interpret the graph

Mathematics
1 answer:
Mars2501 [29]3 years ago
6 0
The first thing you should do for this case is a function that suits the context of the problem.
 Let:
 x: number of days.
 y: number of fish trapped by melissa and Joe.
 The generic equation of the line is:
 y = mx + b
 Melisa catches 2 fish each day. Joe catches 4 fish each day. So:
 m = 6
 Today, both melissa and joe have no fish. So:
 b = 0
 In this case we have:
 y = 6x
 Looking at the graph we see that by day five, both have 30 fish.
 answer
 f (x) = 6x
 f (5) = 30

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Machine A produces bolts at a uniform rate of 120 every 40 seconds, and Machine B produces bolts at a uniform rate of 100 every
Nutka1998 [239]

Answer:

25 seconds

Step-by-step explanation:

Hi there!

In order to answer this question, first we need to know how many bolts per second are produced by each machine, this can be known by dividing the number of bolts by the time it takes.

For machine A:

A = \frac{120 bolts}{40 s}= 3 \frac{bolts}{s}

For machine B:

B = \frac{100 bolts}{20 s}= 5 \frac{bolts}{s}

So, if the two machines run simultaneously, we will have a rate of prodcution of bolts equal to the sum of both:

A+B=(3+5)\frac{bolts}{s}=8\frac{bolts}{s}

Now, we need to know how much time it will take to producee 200 bolts, to find this out we need to divide the amount of bolts by the production rate:

t = \frac{bolts}{ProductionRate}= \frac{200 bolts}{8 \frac{bolts}{s} }

The <em>bolts</em> unit cancell each other and we are left with <em>seconds</em>

t = \frac{200}{8} s = 25 s

So it will take 25 seconds to produce 200 bolts with machine A and B running simultaneously.

Greetings!

4 0
3 years ago
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Is Lamonts average above or under 90
denpristay [2]
83 + 94 + 79 + 97 + 96 + 87 = 536.
536 ÷ 6 = 89.333333...

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7 0
3 years ago
Sort the ratios listed at the right into bins so that equivalent ratios are grouped together:
cestrela7 [59]

Step 1

<u>Find the irreducible fraction in each ratio</u>

<u>case 1)</u>  \frac{40}{64}

Divide by 8 boths numerator and denominator

\frac{40}{64}=\frac{5}{8}

<u>case 2)</u>  \frac{5}{75}

Divide by 5 boths numerator and denominator

\frac{5}{75}=\frac{1}{15}

<u>case 3)</u>  \frac{14}{35}

Divide by 7 boths numerator and denominator

\frac{14}{35}=\frac{2}{5}

<u>case 4)</u>  \frac{24}{64}

Divide by 8 boths numerator and denominator

\frac{24}{64}=\frac{3}{8}

<u>case 5)</u>  \frac{6}{15}

Divide by 3 boths numerator and denominator

\frac{6}{15}=\frac{2}{5}

<u>case 6)</u>  \frac{65}{104}

Divide by 13 boths numerator and denominator

\frac{65}{104}=\frac{5}{8}

<u>case 7)</u>  \frac{66}{176}

Divide by 22 boths numerator and denominator

\frac{66}{176}=\frac{3}{8}

<u>case 8)</u>  \frac{12}{30}

Divide by 6 boths numerator and denominator

\frac{12}{30}=\frac{2}{5}

<u>case 9)</u>  \frac{15}{225}

Divide by 15 boths numerator and denominator

\frac{15}{225}=\frac{1}{15}

<u>case 10)</u>  \frac{6}{16}

Divide by 2 boths numerator and denominator

\frac{6}{16}=\frac{3}{8}

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Divide by 3 boths numerator and denominator

\frac{15}{24}=\frac{5}{8}

<u>case 12)</u>  \frac{48}{128}

Divide by 16 boths numerator and denominator

\frac{48}{128}=\frac{3}{8}

Step 2

<u>Sort the ratios into bins</u>

1<u>) First Bin</u>

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\frac{40}{64}

\frac{65}{104}

\frac{15}{24}

<u>2) Second Bin </u>

<u>Ratio=\frac{1}{15} </u>

\frac{5}{75}

\frac{15}{225}

<u>3) Third Bin</u>

Ratio=\frac{2}{5}

\frac{14}{35}

\frac{6}{15}

\frac{12}{30}

4<u>) Fourth Bin</u>

<u>Ratio=\frac{3}{8} </u>

\frac{24}{64}

\frac{66}{176}

\frac{6}{16}

\frac{48}{128}

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3 years ago
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jolli1 [7]

Answer:

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Step-by-step explanation:

Simplify the fraction

35

-----

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Divide the top and bottom by 7

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1. (1,-9)

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3. (0,-8)

4. x=1

5. -9 or 1

5 0
3 years ago
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