A little brown bat has eaten 1400 mosquitoes. It can eat 900 mosquitoes per hour. Let x be the number of hours it needs to hunt and eat 4100 mosquitoes.

Which equation could be used to solve for the number of hours?

Answer:

3 pounds

Step-by-step explanation:

a pound is 16oz so 3x16=48

Answer:

a] 1400 grams

b] 200 grams

c]600 grams

Step-by-step explanation:

1.4  x 1000=1400 grams

1.4 divide by 7 is 0.2 kg

0.2 x 3 = 0.6 x 1000=600 grams

Answer:

97.5%

Step-by-step explanation:

Solution:-

- Denote a random variable,

           X: Scores of all juniors in a school district centralized test.

- The random variable ( X ) follows normal distribution with the corresponding parameters:

                         X ~ Norm ( μ , σ^2 )

Where,     μ = Mean score

                σ = standard deviation of scores secured

- The given parameters for the normal distribution are:

                        X ~ Norm ( 74 , 8^2 )

- To draw a Normal curve we need to draw a bell shaped curve and annotate the following descriptions:

      Mean ( μ ) : The vertical center-line that bifurcates the normal curve

      1st standard deviation ( μ ± σ ) : First small division to the left and right about the mean ( μ ). [ 74 - 8 , 74 + 8 ] = [ 66 , 82 ]

      2nd standard deviation ( μ ± 2σ ) : Second small division to the left and right about the mean ( μ ). [ 74 - 16 , 74 + 16 ] = [ 58 , 90 ]

      3rd standard deviation ( μ ± 3σ ) : Third small division to the left and right about the mean ( μ ) - tailed. [ 74 - 24 , 74 + 24 ] = [ 50 , 98 ]

- Mark the associated percentage of scores that lies between 1st, 2nd and 3rd standard deviations from the mean ( μ ). Apply the Empirical rule of statistics. Which states:

    p (  μ - σ  ,  μ + σ ) = p ( 66 , 82 ) = 67 %

    p (  μ - 2σ  ,  μ + 2σ ) = p ( 58 , 90 ) = 95 %

    p (  μ - 3σ  ,  μ + 3σ ) = p ( 50 , 98 ) = 99.7 %

- See the attachment for the complete diagram.

- To determine the percentage of students who scored no more than 90 on the test.

- Employ the use of standardizing the required probability by using the following relation:

          p ( X < x ) = p ( Z < [ (x - μ) / σ ] )

          p ( X < 90 ) = p ( Z < [ (90 - 74) / 8 ] )

                             = p ( Z < [ (90 - 74) / 8 ] )

                             = p ( Z < 2 )

- We will employ the use of Empirical rule of second deviation ( μ ± 2σ ) to evaluate the required percentage:

       p (  μ - 2σ  < X <  μ + 2σ ) = p ( 58 , 90 ) = 95 %

       1 - p ( 58 < X < 90 ) = 1 - 0.95 = 0.05

       p ( X > μ + 2σ ) = p ( X > 90 ) = [ 1 - p ( 58 < X < 90 ) ] / 2

                                                      = [ 1 - 0.95 ] / 2

                                                      = 0.05 / 2

                                                      = 0.025

Hence,

     p ( X < 90 ) = p ( Z < 2 ) = 1 - p ( X > 90 )

                                            = 1 - 0.025

     Answer                          = 0.975 ( 97.5 )%        

Answer: 0.75

Step-by-step explanation:

We can do this by drawing a terminal side in a standard position and then drawing the associated triangle. We then use the Pythagoras theorem to find the missing side the hypotenuse. Then, this will give a Pythagorean Triplet of 3, 4 and 5.

We now have a triangle with the values of:

x = 4

y =3

h^2= 4^2 + 3^2

h^2 = 16 + 9

h^2 = 25

h = 5

h = 5

Tangent = opposite/adjacent

= y/x

= 3/4

= 0.75

Answer:

1000/800 = 125% profit

Answer:

25%

Step-by-step explanation:

Profit = Selling price - Cost price

= 1000 - 800

= $200

%Profit = Profit

_____. × 100. ( profit over cost price times 100)

Cost Price

= 200

____. × 100%

800

= 25%

Step-by-step explanation:

-13/20 = - 0.65

7/5 = 1.4

So

-0.65 - 1.4

= - 2.05

Answer:

See Below

Step-by-step explanation:

Pyramid of Gyza:

Base: 227m * 227m

Height: 150m

V=(LWH)/3

V=(227*227*150)/3

V= 7,729,350/3

V=2, 576,450 m^3

Temple of Kukulkan

Base: 55.7*55.7

Height: 29

V=(LWH)/3

V=(55.7*55.7*29)/3

V=89,972.21/3

V= 29,990.736 m^3

Answer:

55 ≤ x ≤100

Step-by-step explanation:

Given the battery life equation:  y = -10x +100 where x is hours driving

As we know that the maximum value of y = 100% when x= 0

<=> y ≤100

They are driving from Dallas to San Antonio which is a 4.5-hour drive.

=> x = 4.5 so we substitute x into the equation, we have:

y = -10*4.5 +100

<=> y = -45 + 100 = 55

Hence, the range of this situation is:

55 ≤ x ≤100

Hope it will find you well.

Answer: 18.38 feet

Step-by-step explanation:

Hi, to answer this question we simply have to solve the expression √338, which is the length of the wire.

Mathematically speaking:

√338 = 18.3847 feet  

Since the number after the hundredths place is less than 5:

Length of the wire: 18.34 feet (rounded to the nearest hundredth)

Feel free to ask for more if needed or if you did not understand something.

Answer:

Step-by-step explanation:

If the distance h, in feet, between the tennis ball and the ground, t seconds after it is thrown is given by h(t)=(-16t^2) +160t + 384, at maximum height the velocity of the tennis ball will be zero.

Velocity is the rate of change of displacement of a body. If the distance is modeled by the equation h(t)=(-16t^2) +160t + 384 then its velocity will be gotten by taking the derivative with respect to time as shown;

V = dh/dt = -32t+160

at maximum height;

0 = -32t+160

32t = 160

t = 160/32

t = 5seconds

This means that the tennis ball reaches the maximum after 5seconds.

Answer:

i think that the answer would be like 1,0000000 if no idk what to tell you

Step-by-step explanation:

use the formula

speed = distance ÷ time

time change in mins

1 hours = 60 mins

speed = 45 ÷ 60

speed = 0.75

Answer:

The white corn section covers [tex]\frac{3}{20}[/tex] of the whole field.

Step-by-step explanation:

The statement indicates that section of the white corn is a portion within the corn section of the field. The statement can be interpreted as a multiplication of rational numbers. That is to say:

[tex]x = \frac{1}{4} \times \frac{3}{5}[/tex]

[tex]x = \frac{1 \times 3}{4 \times 5}[/tex]

[tex]x = \frac{3}{20}[/tex]

The white corn section covers [tex]\frac{3}{20}[/tex] of the whole field.

Answer:

As the picture I uploaded, the area is divided into 1 triangle and 2 rectangles.

Add up the area of these figures, we have the total area:

A = area of triangle + area of 2 rectangles.

  = 11 x (3 + 5 + 13 -10)/2 + 4 x 5 + 12 x 13

  = 236.5 (mm2)

Hope this helps!

:)

Answer:

236.5 mm^2.

Step-by-step explanation:

We can split this up into 2 rectangles:

1 rectangle =  8 * 13 = 104mm^2

2nd rectangle = 4 * (13 + 5) = 4 *18 = 72 mm^2

The base of the triangle = 11mm ,

and the height = (3 + 5 + 13) - 10 = 21 - 10 = 11mm.

So it area = 1/2 * 11 * 11

= 60.5 mm^2.

total area = 104 + 72 + 60.5

= 236.5 mm^2.

Answer:

y is greater than or equal to 0.5/2.5x-1/2

y is greater than -2x

Step-by-step explanation:

Answer:

I think that answer is (4).

Explanation:

Since the slope is negative, as x increases, the function decreases. It also has a y-intercept at 6 so that would eliminate option 2 and 3. Option 1 would not work because the function is increasing.

I hope I helped you! Please mark me brainliest if I am correct. Thanks!

Answer:

option 4

Step-by-step explanation:

Because the slope is negative, as x increases, the function decreases. It also has a y intercept at 6 so that would cancel option 2 and 3. Option 1 would not work because the function is increasing.

First, we need to set up an equation.

6x + 8.75 = 40.55

Then, we use the equation to solve for how much a pound of BBQ costs.

To move 8.75 to the other side, we have to subtract 8.75 from both sides of the equation.

6x = 40.55 - 8.75

6x = 31.8

Next, we divide both sides by 6 to get the value of x.

6x/6 = x

31.8/6 = 5.3

Lastly, add the correct unit.

$5.3.

Therefore, the price per pound of BBQ is $5.30

Answer:

The vertex is at (5, -9)

Step-by-step explanation:

The vertex is halfway between the zeros

f(x) = (x-8)(x - 2)

0  = (x-8)(x - 2)

x=8 and x=2 are the two zeros

(8+2)/2 = 10/2 = 5

The x coordinate is at 5

The y coordinate is found by substituting the x coordinate into the function

f(5) = (5-8)(5 - 2) = -3 (3) = -9

The vertex is at (5, -9)

Answer:

y= -1/3x+3

Step-by-step explanation:

Old homework answers.

Step-by-step explanation:

work is pictured and shown

Answer:

The height is 20 cm.

Step-by-step explanation:

First, we have to know that the volume formula is V = πr²h and the base area of cylinder is a circle. So we can let πr² be 77 cm² . Then we have to substitute the following values into the formula :

[tex]v = 1.54 \: l[/tex]

[tex]v = 1540 \: {cm}^{3} [/tex]

[tex]v = \pi \times {r}^{2} \times h[/tex]

Let πr² be 77,

Let v be 1540,

[tex]1540 = 77 \times h[/tex]

[tex]77h = 1540[/tex]

[tex]h = 1540 \div 77[/tex]

[tex]h = 20 \: cm[/tex]

Answer:

1/10 or 0.10 or 10%

Step-by-step explanation:

Based on the data given, the spinner landed on yellow 2 times out of the 20 times it was spun. Therefore, the experimental probability of landing on yellow, based on the data, is 2/20. If you simplify this, it is 1/10, which is 0.10 as a decimal and 10% as a percent.

Hope this helps! :)

Answer:

Step-by-step explanation:

1) Let w represent the number of weeks and m represent the amount of money that she has in her account after w weeks. Assuming m is increasing at a linear rate. This means that it is increasing in arithmetic progression. The formula for determining the nth term of an arithmetic progression is expressed as

Tn = a + (n - 1)d

Where

d represents common difference in the amount between 2 consecutive weeks.

a = 220 represents the first term of the sequence.

Tn = w = the amount at the end of n weeks

n = m represents the number of weeks

2) The equation used to represent the amount of money Shelly has in her account each week is

w = 220 + (w - 1)d

Answer:

a = 864 m/s^2

Step-by-step explanation:

You have the following equation for the motion of a body:

[tex]s(t)=115t+12t^3[/tex]

The acceleration of the body is given by the second derivative of s(t):

[tex]\frac{ds}{st}=115+12(3)t^2=115+36t^2\\\\\frac{d^2s}{dt^2}=\frac{d}{dt}\frac{ds}{dt}=36(2)t=72t\\\\a(t)=72t[/tex]

After t = 12 s you obtain for the acceleration:

[tex]a(t=12)=72(12)=864\frac{m}{s^2}[/tex]

hence, the acceleration is 864m/s^2 for t=12s

Answer:

Step-by-step explanation:

Let x be the random variable representing the algebra test scores of the students. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 81.5

σ = 5.1

the probability that a student scores below 76.4 is expressed as

P(x ≤ 76.4)

For x = 76.4

z = (76.4 - 81.5)/5.1 = - 1

Looking at the normal distribution table, the probability corresponding to the z score is 0.023

For x = 8

z = (8 - 6)/1 = 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.159

Therefore, the number of students that scored below 76.4 is

0.159 × 130 = 21 students

Answer:

1000

Step-by-step explanation:

Answer:

(2x+3) x (x-7)

Step-by-step explanation:

Answer:

The answer is -729/2

Step-by-step explanation:

==============================================================

Work Shown:

P = 37000 is the principal (aka amount loaned out)

r = 0.05 is the interest rate in decimal form

t = 6 is the number of years

n = 1 tells us we are compounding 1 time per year (aka annual compounding)

Those four values are plugged into the formula below and you use a calculator to simplify

A = P*(1+r/n)^(n*t)

A = 37000*(1+0.05/1)^(1*6)

A = 49583.538703125

A = 49583.54 is the full amount to pay back

Side note:

The amount of interest paid is A - P = 49583.54 - 37000 = 12583.54

Answer:

Step-by-step explanation:

4s + 2c = 23

3s + 5c = 32

System of equations?