PLEASE HELP!!!!!The table below shows the data for a random sample of fish that were collected from and later released into a lake:

Type of Fish Catfish Grass Carp Bluegill
Number of Fish 52 61 87

How many bluegills are estimated to be present if a sample of 800 fish is collected from the lake? (5 points)

148
174
244
348

Answer:

A) The amount of gas they bought on each coast;

East Coast = 35 gallons

Mid-US = 100 gallons

West Coast = 15 gallons

B) The amount of gas they bought on each coast on the return journey;

East Coast = 37 gallons

Mid-US = 116 gallons

West Coast = 21 gallons

Step-by-step explanation:

Complete Question

Maxis taking a cross-country road trip. Gas prices vary as the friends travel across the US from $4 dollars per gallon on the east coast to $3 in the mid-US, to $5 on the west coast.

(a) If they used twice as much gas in the mid-US than on either coast combined, and they spend $515 on gas to purchased 150 gallons of gas, how many gallons of gas did they buy at each price?

The answer to this question is East Coast - 35 gal, Mid-US - 100 gal, West Coast - 15 gal.

(b) On their way back they had more baggage in the car and spend $601 for 174 gallons of gas. Based on the same ratio as in Part (a), how many gallons of gas did they buy at each price? I don't know the answer to this one

Solution

Let the amount of fuel bought on the east coast = x gallons

Let the amount of fuel bought on the mid-coast = y gallons

Let the amount of fuel bought on the west coast = z gallons

a) - They used twice as much gas in the mid-US than on either coast combined

y = 2(x + z) = 2x + 2z (eqn 1)

- They spend $515 on gas to purchase 150 gallons of gas.

Total gallons purchased = x + y + z = 150

Total amount spent = 4x + 3y + 5z = 515

From eqn 1, y = 2x + 2z, inserting this value for y in the 2 other equations

x + y + z = x + 2x + 2z + z = 150

3x + 3z = 150

Divide through by 3

x + z = 50 (eqn *)

4x + 3y + 5z = 4x + 3(2x + 2z) + 5z = 515

4x + 6x + 6z + 5z = 515

10x + 11z = 515 (eqn **)

x + z = 50

10x + 11z = 515

Solving the simultaneous equation,

x = 35 gallons

z = 15 gallons

y = 2x + 2z = 2(35 + 15) = 100 gallons

B) On the return journey, the ratio between x, y and z is still the same, but the total gallons and total amount spent is now different.

They used twice as much gas in the mid-US than on either coast combined

y = 2(x + z) = 2x + 2z (eqn 1)

- They spend $601 on gas to purchase 174 gallons of gas.

Total gallons purchased = x + y + z = 174

Total amount spent = 4x + 3y + 5z = 601

From eqn 1, y = 2x + 2z, inserting this value for y in the 2 other equations

x + y + z = x + 2x + 2z + z = 174

3x + 3z = 174

Divide through by 3

x + z = 58 (eqn *)

4x + 3y + 5z = 4x + 3(2x + 2z) + 5z = 601

4x + 6x + 6z + 5z = 601

10x + 11z = 601 (eqn **)

x + z = 58

10x + 11z = 601

Solving the simultaneous equation,

x = 37 gallons

z = 21 gallons

y = 2x + 2z = 2(37 + 21) = 116 gallons

Hope this Helps!!!

Answer:

y=-1x+3

Step-by-step explanation:

2-5/1+2

-3/3

-1

y=-1x+b

2=-1+b

b=3

y=-1x+3

Answer: -70

Step-by-step explanation: hope I helped

Answer:

[tex]12m^{3}[/tex]

Step-by-step explanation:

Multiply all the variables together to get the answer (only for rectangular prism).

Answer:

t ≥0

Step-by-step explanation:

Given the information:

The initial population: 500

The graph models the population of the bacteria colony P(t) as a function of the time t, in weeks,

=> our function is: P(t) =500*[tex]b^{t}[/tex] where b is the base number and it is ≥0

The domain of exponential functions is all real numbers greater than zero

<=> t ≥0 (because t present for the time and time can not have negative value)  

t  is the independent variable is this exponential function and the population of bacteria depends on the change of t.

Because it is the growth function so the range (the population of bacteria) increase over its domain (the time)

Hope it will find you well.

Option B. is correct

Polynomial equation are equation of number independent variables having relationship with dependent variable.

Since,
A monomial can have higher exponents so its exponents has probability to get divisible by 3 so when cube root for monomial performed.  
for example [tex]\sqrt[3]{x^3}[/tex] = x

Thus, Miguel is correct. Any monomial can be a perfect cube root because, when it is cubed, the variables will have exponents divisible by 3.

Learn more about polynomial here:

brainly.com/question/11536910

#SPJ2

Answer:

option B

Step-by-step explanation:

edge 2023

Answer:

must not be

Step-by-step explanation:

The whole thing equals 360 degrees

Angle B and Angle D are equal; which equals 190 degrees.

Add Angle A to 190 degrees; which is 86 + 190 = 276.

Subtract 360, which is what the whole thing equals, and 276, which is the known angle added together, and you get 56.

In order for this to be a parallelogram, the opposite angles need to be equal.

Since they are not, the answer is must not be.

Answer:

[tex]\frac{10}{10}[/tex]    (10/10)

Step-by-step explanation:

to convert 1.00 into a fraction you have to write 1.00 as numerator and put 1 as the denominator.

then, you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

1.00 = 1.00/1 = 10/10

Step-by-step explanation:

(5x+2y=6)2

10x+4y=12

10x+4y=12 then substract

10x+4y=12

0=0 true so, it have infinite s/n

Answer:

figure ii

Step-by-step explanation:

counterclockwise is this way >>>

thus making figure 2 the version of circle A spun counterclockwise

Answer:

50 ft2

Step-by-step explanation:

im not sure if this is right but this is what i got when i worked it out

Answer: [tex]150ft^2[/tex]

Step-by-step explanation:

length: [tex]7\frac{1}{2}in[/tex] Convert to an improper fraction. [tex]\frac{7*2+1}{2}=\frac{15}{2}[/tex]

width: [tex]5 in[/tex]

[tex]Formula: A=w*l[/tex]

[tex]A=(5in)(\frac{15}{2}in)\\A=\frac{75}{2}in^2[/tex]

Convert to ft. I assume your conversion factor is [tex]\frac{1}{2}in. : 1ft[/tex]. However, the unit we need is squared. Square both sides.

[tex](\frac{1}{2}in.)^2 : (1ft)^2[/tex]

[tex]\frac{1}{4}in^2 : 1ft^2[/tex]

Convert.

[tex]\frac{75}{2}in^2(\frac{1ft^2}{\frac{1}{4}in^2 } )=[/tex]

Invert the fraction in the denominator and multiply it by the numerator.

[tex]\frac{75}{2}in^2*1ft^2*4in^-^2=75*2ft^2=150ft^2[/tex]

Answer:

if x+y=5, then x=5-y

so x-4y=-10

5-y-4y=-10

5-5y=-10

-5y=-15

y=3

x=5-y

x=5-3

x=2

x=2; y=3

Answer:

C. Outside the circle

I hope this helps

Answer:

15.1

Step-by-step explanation:

The Pythagorean theorem is

a^2 +b^2 = c^2

23^2 + b^2 = 27.5^2

529 +b^2 =756.25

Subtract 529 from each side

529-529+b^2 =756.25-529

b^2 =227.25

Take the square root of each side

b =sqrt(227.25)

b =15.07481343

To the nearest tenth

b = 15.1

Answer:

15.1

Step-by-step explanation:

Answer:

4 is the length of a side.

Step-by-step explanation:

16 divided by 4 equals 4

Answer:

4 units

Step-by-step explanation:

The area of a square is denoted by: A = s², where s is the side length.

Here, we know that the area is 16, so plug this in for A:

A = s²

16 = s²

s = √16 = 4

Thus, the side length is 4 units.

~ an aesthetics lover

Answer:

The equation of the circle is [tex]{ \left(x - 1 \right)^2 + \left( y - 2 \right)^2 = \frac{ 25 }{ 4 } }[/tex].

Step-by-step explanation:

This is the general standard equation for the circle centered at (h, k) with radius r.

                                           [tex](x-h)^2+(y-k)^2=r^2[/tex]

From the graph we know that the center, the red point, is (1, 2) and the circle pass through the point (2.5, 4) the blue point.

To find the standard equation of the circle you must:

Step 1: Find circle radius.

To find a radius of a circle we will compute the distance between points [tex]C=(1, 2)[/tex] and [tex]P=(2.5, 4)={ \left( \frac{ 5 }{ 2 } , 4 \right) }[/tex]. The distance can be computed by using formula:

[tex]r = \sqrt{ \left(C_x - P_x\right)^2 + \left(C_y - P_y\right)^2 }\\\\r = \sqrt{ \left(1 - \frac{5}{2} )^2 + \left(2 - 4)^2 }[/tex]

[tex]r=\sqrt{\frac{3^2}{2^2}+2^2}=\sqrt{\frac{9}{4}+4}=\sqrt{\frac{25}{4}}=\frac{5}{2}[/tex]

Step 2: Substitute the values of the radius and the center into the general standard equation for the circle.

[tex]\begin{aligned} \left(x - 1 \right)^2 + \left(y - 2 \right)^2 &= \left(\frac{ 5 }{ 2 }\right)^2 \\ \left(x - 1 \right)^2 + \left( y - 2 \right)^2 &= \frac{ 25 }{ 4 } \end{aligned}[/tex]

Answer:

r: radius of balloon

V = (4/3)*pi*r^3 =  288000

=> r^3 = 288000*(3/4)/pi

=> r^3 = 68754.94

=> r = [tex]\sqrt[3]{68754.94}[/tex] = ~40.97 cm

Answer:

D. 4

Step-by-step explanation:

If there are 2 circles drawn in space but not intersecting each other or touching each other at all, there are 4 common tangents.

I hope this helped and have a good rest of your day!

Answer:

about 254.47

Step-by-step explanation

Circle are equation: pi(r)^2

pi(9)^2 = 254.47

Answer:

m∠DEH= 128.6°

Step-by-step explanation:

∠GHJ and ∠DEH are both congruent to each other because lines DF and GI are both parallel to each other.

This means, if m∠GHJ is 128.6°, m∠DEH is also 128.6°.

Answer:

128.6

Step-by-step explanation:

GHJ= DEH

adjasent angle

Answer:

a.20

Step-by-step explanation:

20 is standing out from the rest of the numbers

Answer:

25

Step-by-step explanation:

5 x3 is 15 and then add 10. im sure u know that but yea

Answer: 72 degrees

Step-by-step explanation:

i think it is C

Step-by-step explanation:

Answer:

1 or D

Step-by-step explanation:

The first statement is correct

To calculate the distance we have to substrate the values of the Y axis only since X values are constant so the distance IS 4 - - 7=4+7=11

Answer:

The first answer. The distance is 11.

Answer:

3/2

Step-by-step explanation:

Its because its saying the largest box to the smallest.

since the largest box has a side of 3 it should be on top and the smallest is 2, should be on the bottom.

Ignore all negetive fraction because they are useless.

Answer:

10lbs. for $10.25

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

2.2-2.5

Since a + and a - make a minus if we have 2.2+(-2.5) we would get 2.2-2.5. So C is the anwser.

Answer:

Step-by-step explanation:

P(first blue) =  444/ 1554

P(second blue) = 443/1553

P(first blue + second blue) = 444/ 1554 * 443/1553 = 0.08