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charle [14.2K]
3 years ago
10

Samantha bought 26 total fish. Each goldfish cost $3 and each guppy costs $4. She spent $86 total. How many guppies did she buy?

Mathematics
1 answer:
Alex787 [66]3 years ago
5 0

Answer:

goldfish is 15 and guppies is 11

Step-by-step explanation:

Given data

let the number of goldfish be x

and the number of guppies be y

so

x+y= 25----------1

and

3x+4y= 86-------2

solve 1 and 2

x+y= 25

3x+4y= 86

from 1

x= 25-y

put this in 2

3(25-y)+4y= 86

75-3y+4y= 86

75+y= 86

y= 86-75

y=11

put y= 11 in 1

x+11= 26

x= 26-11

x= 15

Hence goldfish is 15 and guppies is 11

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Instructions: The polygons in each pair are similar. Find the<br> missing side length.
loris [4]

Answer:

missing side length is 12

Step-by-step explanation:

similar means that all correlating pairs of sides have the same ratio (old side length) / (new side length).

so, when we know the ratio of one pair, we can apply it to any other side to calculate the correlating side.

we see, when we go from small to large, that we have the ratio 32/40 = 4/5.

so, multiplying the larger side by this, we get the shorter side.

15 × 4/5 = 3 × 4 = 12

the proportion part in your picture is a bit confusing :

yes,

x/15 = 32/40 = 32/40

I don't know, why this last expression was repeated.

x/15 = 32/40

x = 15×32/40 = 15×4/5 = 3×4 = 12

as you see we get of course the same result doing it that way.

3 0
2 years ago
A random sample of 2 measurements is taken from the following population of values: 0, 1, 3, 4, 7. What is the probability that
mafiozo [28]

Answer:

1/5

Step-by-step explanation:

Range as a measure of central tendency is the difference between the highest value and the lowest value in a given set of data.

Given the samples 0,1,3,4,7

Total number of samples is 5

The range is gotten by taking the difference of 2 samplesout of 5samples and this can be done in 5C2 ways.

5C2 = 5!/(5-2)!2!

= 5!/3!2!

= 5×4×3!/3!×2

= 10ways

The total outcome is therefore 10

To get the probability that the range is 4, we need to get the required outcome of getting range of 4 and this can only occur twice

The range can be gotten by taking the difference between 7 and 3, it can also be gotten by taking the difference between 4 and 0. Both differences will give us a total of 4

The expected outcome is therefore 2

the probability that the range of the sample is 4 = expected outcome/total outcome

= 2/10

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7 0
3 years ago
What is the slope of the line?<br> Helppp
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8 0
3 years ago
Find the measurements (the length L and the width W) of an inscribed rectangle under the line with the 1st quadrant of the x &am
Leni [432]

The question is incomplete. Here is the complete question.

Find the measurements (the lenght L and the width W) of an inscribed rectangle under the line y = -\frac{3}{4}x + 3 with the 1st quadrant of the x & y coordinate system such that the area is maximum. Also, find that maximum area. To get full credit, you must draw the picture of the problem and label the length and the width in terms of x and y.

Answer: L = 1; W = 9/4; A = 2.25;

Step-by-step explanation: The rectangle is under a straight line. Area of a rectangle is given by A = L*W. To determine the maximum area:

A = x.y

A = x(-\frac{3}{4}.x + 3)

A = -\frac{3}{4}.x^{2}  + 3x

To maximize, we have to differentiate the equation:

\frac{dA}{dx} = \frac{d}{dx}(-\frac{3}{4}.x^{2}  + 3x)

\frac{dA}{dx} = -3x + 3

The critical point is:

\frac{dA}{dx} = 0

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Substituing:

y = -\frac{3}{4}x + 3

y = -\frac{3}{4}.1 + 3

y = 9/4

So, the measurements are x = L = 1 and y = W = 9/4

The maximum area is:

A = 1 . 9/4

A = 9/4

A = 2.25

6 0
3 years ago
A right cone has an altitude of 4 units and a base diameter of 6 units. What is it’s lateral area?
fenix001 [56]

Answer:

Lateral area  =

pi *  (radius) * √ [ height ^2  + radius^2 ]  =

pi *  ( 4 )  * √ [  4^2 + 3^2 ]  =

pi * ( 4 ) * √25  =

pi * ( 4 ) * (5 )  =

20 pi  units^2  ≈   62.8 units^2

Step-by-step explanation:

4 0
3 years ago
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