A biology class examined some flowers in a local meadow. They saw 60 flowers, of which 70% were perennials. How many perennial flowers did the students see?

Answer: 4

Step-by-step explanation: in average, they drink 12/3 = 4 milk jugs per day.  

Addition of the given is (a) [tex]9x^{3} +x^{2}-6x+5[/tex]

Equation given,

Eq 1 = [tex]7x^{3} - 2x^{2}-5x+6[/tex]

Eq 2 = [tex]2x^{3}+ 3x^{2}-x-1[/tex]

Adding Eq 1 + Eq 2,

[tex](7x^{3} - 2x^{2}-5x+6) + (2x^{3}+ 3x^{2}-x-1)[/tex]

[tex](7x^{3} + 2x^{3}) + (- 2x^{2}+ 3x^{2})+(-5x-x)+(6-1)[/tex]

[tex]9x^{3}+ x^{2}-6x+5[/tex]

Hence, the answer.

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The answer average speed is120KM/h

What is speed?

The speed of an object, also known as v in common parlance and kinematics, is the size of the change in position per unit of time or the size of the change in position over time; as such, it is a scalar quantity.The average speed of an object in a given period of time is equal to the distance travelled by the object divided by the length of the intervalthe instantaneous speed is the upper limit of the average speed as the length of Velocity and speed are different concepts.

Given in the question a car travels in 40Km/h

Total distance will be 's' = speed * time.

The total round trip avg speed is 60km/h

So time is taken to reach = s/40 hr

And time is taken to return back = s/x hr

The total time is given = 2s/60

We can write 2s/60 = s/40+s/x

⇒ 1/x = 1/30-1/40

⇒1/x = 1/120

⇒x = 120 KM/hour

Hence the, the average speed in the return journey is 120KM/hour.

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Using distributive property, the simplified form of (5x - 7)(4x + 1) is 20x^2- 23x - 7.

In the given question we have to solve the given expression.

The given expression is (5x - 7)(4x + 1).

To simplify the given expression we use the distributive property.

According to property; a(b+c) = ab+bc

Now simplifying the expression;

(5x - 7)(4x + 1)=5x(4x + 1) - 7(4x + 1)

(5x - 7)(4x + 1)=(5x*4x + 5x*1) - (7*4x + 7*1)

(5x - 7)(4x + 1)=(20x^2 + 5x) - (28x + 7)

Simplifying

(5x - 7)(4x + 1)=20x^2+5x -28x - 7

(5x - 7)(4x + 1)=20x^2- 23x - 7

The simplified form of (5x - 7)(4x + 1) is 20x^2- 23x - 7.

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The equations represent functions where x is the input and y is the output are y = 2x and x+y = 2

The 1st equation is x =2

Since there is no component of y and the value of x is fixed. So this is not the desired option.

The 2nd equation is y = 2

Since there is no component of x, and the value of y is fixed. So this is not the desired option.

The 3rd equation is y = 2x

In this equation, x is the input and y is the output. For different values of x, we will have different values of y.

Thus, this is the desired option.

The 4th equation is x =2y

In this equation, y is the input and x is the output. For different values of y, we will have different values of x.

The 5th equation is x+y = 2

So, x + y = 2

y = 2 - x

In this equation, x is the input and y is the output. For different values of x, we will have different values of y.

Thus, this is the desired option.

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Answer:

496.5714285714

Step-by-step explanation:

82+79+85+100+46+92+88

7

=496.5714285714

Answer:

The coefficient is 9 in 9b.

Step-by-step explanation:

A coefficient is a number before a variable.

Examples: 9 in 9b, 5 in 5y, 3 in 3x.

Practically anything before a variable is declared                                                          a coefficient.

Pls vote brainliest if this was helpful!

It helps a lot :)

Answer:

Step-by-step explanation:

do I

The number of possible license plates that can be issued using this system is 1757600. Therefore, option B is the correct answer.

Given that, a state offers specialty license plates that contain 3 letters followed by 2 numbers.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

The number of possible license plates

= 26×26×26×10×10

= 1757600

The number of possible license plates that can be issued using this system is 1757600. Therefore, option B is the correct answer.

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The area of tin sheet needed to make the roof is 25,136.3 square feet.

The roof of a farm silo is in the shape of a hemisphere. The roof is made of a sheet of tin. The diameter of the silo is 126.5 feet. Hence, the radius of the hemisphere is half the diameter. The radius is 126.5/2 = 63.25 feet. We need to find the amount of tin sheet required to make the roof. The amount of tin sheet is equal to the area of the roof. The formula for the curved surface area of a hemisphere is given below :

A = 2πr² = 2*3.1416*(63.25)² = 25,136.3

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Y=5p+3

Y equals the total amount of tape rolls

P is for the number of packages there are.

Hope this helped!

:)

Answer:

Y=5p+4

Y equals the total amount of tape rolls

P is for the amount of packages there are

Step-by-step explanation:

The missing terms for the congruent angles are;

Complementary angles

m∠1 + m∠3 = 90°

Transitive property of equality

Subtraction property of equality;

Congruent angles.

Congruent angles are defined as the angles that have equal measure. Therefore, all the angles that have equal measure are called congruent angles.

We are given that;

∠1 and ∠2 are complementary

∠1 and ∠3 are complementary

Now, we are told that m∠1 + m∠2 = 90°. Complementary angles are defined as the 2 angles that sum up to 90 degrees. Thus, ∠1 and ∠2 are complementary by definition.

Similarly, m∠1 + m∠3 = 90°

By the transitive property of equality, we can say that;

m∠1 + m∠2 = m∠1 + m∠3

By the subtraction property of equality;

m∠2 = m∠3

Thus;

∠2 = ∠3 by definition of congruent angles.

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Answer:

5

Step-by-step explanation:

divide.

The length, breadth and height will be 78 cm, 78cm, 78cm each.

let consider the length = l

breadth = b

height = h

we are provided that

l + b + h = 234cm .......(1)

Also we have to maximize the volume , provided length is equal to breadth

∴ eqn (1) becomes

2b + h = 234

h = 234 - 2b

also ,

volume(v) = lbh

v = b²(234 - 2b)

v = b²234 - 2b³

now to maximize the volume we take the first derivative of the volume wrt 'b' and place it equal to zero. ( lagrange method )

i.e. d( v)/db = 0

∴  468b - 6b² = 0

 6b² - 468b = 0

6b( b - 78 ) = 0

∴  b = 78 cm

now as length = breadth

l = b = 78 cm

also putting this value in eqn (1)

h = 234 - 2b

h =  78 cm

So , the dimensions will be equal and will be 78cm , 78cm, 78cm each .

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Answer:

B: [tex]3\frac{6}{8}[/tex]

Step-by-step explanation:

we multiply numerator by numerator and denominator by denominator

6/8x5/1

30/8

3 6/8

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The length of the line segment BD is 3 centimeters.

Herein we find two triangles proportional to each other. According to Thales's theorem, two triangles are proportional when both have congruent angles. The geometric system is represented by the following expression:

AB / AD = BC / DE = AC / AE

By direct inspection we notice that the two triangles are proportional as they have congruent angles. If we know that DE = 10 cm, BC = 8 cm and AB = 12 cm, then the side AD has the following measure:

12 cm / AD = 8 cm / 10 cm

AD = (10 cm / 8 cm) × 12 cm

AD = 15 cm

And the length of the line segment BD is:

BD = AD - AB

BD = 15 cm - 12 cm

BD = 3 cm

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The graph shows the absolute value function.

y = |x - 3| + 5

First, we can see that the shape of the graph is a "V", so we have an absolute value function.

We can see that the slope is 1 (for each horizontal square that the line moves, it also moves one vertically) , so our function will be of the form

y = |x - a| + b

Notice that the above function has a vertex at (a, b)

And the graphed one ahs a vertex at (3, 5), with that we can conclude that the graphed function is:

y = |x - 3| + 5

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The amount of money the social worker can spend is $146.59 ≤ m ≤ $293.17

An equation shows the relationship between two or more numbers and variables.

Let m represent the amount of money the social worker can spend.

A social worker earns an average bi-weekly net pay of $1,465.87. Hence:

Monthly revenue = 2 * $1465.87 = $2931.74

For a debt of 5%:

m = 5% of $2931.74 = 0.05 * $2931.74 = $146.59

For a debt of 10%:

m = 10% of $2931.74 = 0.1 * $2931.74 = $293.17

$146.59 ≤ m ≤ $293.17

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Answer:

$158.80 ≤ m ≤ $317.61

Step-by-step explanation:

Hello,

So first step is we would use the bi-weekly net pay of $1465.87 then times it by 26 so it would look like this

1465.87 × 26 = 38112.62

Then we would divide 38112.62 by 12

38112.62 ÷ 12 = 3176.0516

Then, we would determine how much the social worker can spend if the monthly budget for debt is between 5% and 10%.

3176.0516 × 5% = 158.80

3176.0516 × 10% = 317.61

So, therefore the answer is $158.80 ≤ m ≤ $317.61.

You cannot solve it because you do not know what x and y are for the parallel line. which is the correct answer would be option (B).

We have to find out the y-intercept of the line that is parallel to y = 0.5x - 2,

As per the given options,

Since the parallel line goes through point (3, 0) substitute 3 for x and 0 for y and solves for b, the y-intercept.

This is not the correct answer.

You cannot solve it because you do not know what x and y are for the parallel line.

This is the correct answer.

Since the parallel line goes through the point (3, 0) substitute 0 for x and 3 for y and solve for b, the y-intercept.

This is not the correct answer.

Therefore, You can't solve it since you don't know what the parallel line's x and y coordinates are.

Hence, the correct answer would be option (B).

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The probability is 0.061 to record his or her age for her favorite music genre is pop.

Probability is a branch of mathematics that deals with numerical descriptions of how likely an event or statement is to occur. An event's probability is a number between 0 and 1, where 0 indicates impossibility and 1 represents certainty. The more likely an occurrence is, the more likely it will occur. A simple example is tossing a fair (unbiased) coin. Because the coin is fair, all outcomes are equally likely; the probability of "heads" equals the probability of "tails," and because no other outcomes are possible, the probability of "heads" or "tails" is 1/2.

Given,

Age       Users     Pop-music

13-24     47%        85%

25-34     25%        59%

35-more  28%       23%

Let the total population be 100 then

Age    Users    Pop-music

13-24    47%        85% of 47=39.95

25-34    25%       59% of 25=14.75

35-more  28%      23% of 28=6.44

Persons having favorite music game as pop=34.95+14.75+6.44

=61.14

Probability=61.14/100c₁

=0.061

Therefore, the probability is 0.061.

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In linear equation, 275 hamburgers were sold on Wednesday​ .

What in mathematics is a linear equation?

Let x = the number of hamburgers sold

Let x - 67 = the number of cheeseburgers sold

x + x - 67 = 483

2x = 483 + 67

2x = 550

x = 275

x = 275 hamburgers

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As per the given percentage, Sherry want to invest $2,000 amount in mutual fund and $13,200 amount in bonds.

Percentage:

Percentage means the number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

Given,

Sherry has 15,200 dollars to invest in mutual funds and in bonds. Sherry has selected a mutual fund that earns 1% a year and a bond that earns 4% a year.

Here we need to find if she wants to earn 548 at the end of the first year, how much does she need to invest in each type of account.

It is given that the total amount is 15200.

So, let us consider x be the amount invested in mutual funds then 15200 - x be the amount invested in bonds.

Therefore, it can be written in the following matrix,

[tex]\begin{bmatrix}x & 15200-x\end{bmatrix}[/tex]

Now, we have know that the total interest amount after 1 year is 548,

So, it can be written like the following expression

amount invested x percentage = final amount

Therefore,

[tex]\begin{bmatrix}x & 15200-x\end{bmatrix}\times\begin{bmatrix}\frac{1}{100} \\\frac{4}{100}\end{bmatrix}=548[/tex]

It can be simplified as,

[tex]\begin{bmatrix}x\times(\frac{1}{100})+(15200-x)\times(\frac{4}{100}) \end{bmatrix}=[548][/tex]

=> x/100 + 60800-4x/100 = 548

=> x + 60800 - 4x = 54800

=> -3x = 54800 - 60800

=> -3x = -6000

=> x = 2000

=> 15200 - 2000 = 13200

Therefore, she invests $2,000 in mutual funds and $13, 200 in bonds.

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Answer:

I think it's 187.5

Step-by-step explanation:

I divided 150 by 20 and got 7.5.

i multiplied 7.5 by 25 and got 187.5

Hop this is correct and helps you.

The inequality represented by the graph is y ≥ -x + 2

A graph is a pictorial representation of data and the graph presented represents inequality data

The graph shows a linear function written in the form

y = mx +c

where slope, m calculated as

c = intercept

x = input variables

y = output variables

calculation of slope

The points used for the slope is gotten from the graph as (0. 2)  (1, 1)

m = (y₂ -y₁) / (x₂ - x₁)

substituting the values

= ( 2 - 1 ) / ( 0 - 1 )

= 1 / -1

= -1

y intercept, c this is a point where the graph cuts the y axis

c = 2

The two points result greater than or equal to written with the symbol ≥

hence the equation is

y ≥ -x + 2

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Vertex form

f(x)= 3(x+2)^2+4

Answer: The probability of 60% or less scared speechless out of a group of 50 customers (i.e. 30 customers) is 0.0932% or 0.000932.

Step-by-step explanation: Given problem meets all criteria for application of a binomial distribution with the probability of success; p=0.8 or 80% (which makes probability of failure; q=0.2 or 20%) and the total number of trials; n=50.

Let probability of 30 or less people scared (30 is 60% of 50 people) be P(x≤30), where x≤30 encapsulates all possibilities from 0 to 30 people scared speechless.

Then, by binomial distribution,

P(x≤30) =r=030nCr*pr*q(n-r)

Now we can substitute given values and find the desired probability,

P(x≤30) =r=03050!(50-r)!r!*(0.8)r*(0.2)(50-r)

P(x≤30) =r=03050!(50-r)!r!*(0.8)r*(0.2)-r*(0.2)50

P(x≤30) =(0.2)50*r=03050!(50-r)!r!*(0.8)r*(0.2)-r

P(x≤30) =(0.2)50*r=03050!(50-r)!r!*4r

The first value on the right hand side of equation is a very small number while the summation factor on second is a relatively larger number.

P(x≤30) = 0.000932

Thus, there is a 0.09% chance of 30 or less people scared speechless out of a group of 50.

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