Question #10 Rachel wants to use the Distributive Property to rewrite 72+ 45. Which expression could she use?​

Answers

Answer 1
Distributive property of this number is 3(24+15).

In mathematics, the distributive property of binary operations generalizes the distributive law, which asserts that the equality is always true in elementary algebra. For example, in elementary arithmetic, one has One says that multiplication distributes over addition.
In distributive property the form of the equation is a(b+c).
We know that in 72 and 45.
Both are divided by 3 and 9.
So we can use any one of this number.
So in the distributional form.
It will be ,
= 3(24+15).

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Answer 2

Distributive property of this number is 3(24+15).

In mathematics, the distributive property of binary operations generalizes the distributive law, which asserts that the equality is always true in elementary algebra. For example, in elementary arithmetic, one has One says that multiplication distributes over addition.
In distributive property the form of the equation is a(b+c).
We know that in 72 and 45.
Both are divided by 3 and 9.
We can also divide it by 9
So, in the form of 9.
Using 9,
= 9(8+5)
Now, we use in the form of 3.
So in the distributional form.
It will be ,
= 3(24+15).
So, there are two form of distributional property from 72 and 45.

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Related Questions

A 3-quart container of disinfectant costs $13.56. What is the price per cup?

Answers

Answer: The answer is $1.13.

Step-by-step explanation:

There are 12 cups inside a 3-quart container.

Suppose you know the measures of all three angles of a triangle. Can you use the Law of Sines to find the lengths of the sides? Explain.

Answers

Answer:

No

Step-by-step explanation:

Without any side lengths, the most three angles can determine is similarity, not congruency. This means you can determine the ratio of the lengths of the sides, but not any of the sides individually.

23% of a snack mix is almonds. How much snack mix would you need to get 230 g of almonds?

Answers

Answer:

23 times 10 is

230 so your answer is 2 times 10

10 because 230 \ 23% is 10

Can someone please help

And explain why correct

If your gonna be immature just go on with your day

Answers

Answer:

AD

Step-by-step explanation:

It is the only segment that meets a side of triangle ABC at a right angle.

Please help me out please please please

Answers

Answer:

I think the first

Step-by-step explanation:

The answer is 9x+y+8 bc you have to combine like terms

help meeeeeeeeeeeee.

Answers

Answer:

4:1, 20:5

Step-by-step explanation:

You can determine if a ratio is equivalent by dividing each term with the respective term in the other ratio. If you come out with 1, the ratios are equivalent.

Answer:

4:1 & 20:5

Step-by-step explanation:

These two ratios are equal and true to 12:3!

Hopefully this helps have a great day! :D


f(x)=b x and g(x)=logbx are inverse functions. Explain why each of the following is true.
a. The translation f₁(x)=b x-h of f is equivalent to a vertical stretch or compression of f .

Answers

The function f₁(x) can be either vertical stretch or vertical compress: TRUE

What do we mean by Logarithmic Function?The following is the formula for basic logarithmic functions: Where b > 0, f(x) = logbx(r), y = logbx.It is the reciprocal of the exponential function x=b∧y.Log functions are denoted by natural logarithm (ln) and common logarithm (log).

Here are a few examples of logarithmic functions:

f(x) = ln (x - 2)g(x) = log2(x + 5)-2h(x) = 2 log x, etc.

So,

Given function:

f(x) = bˣg(x) = logbx

Then,

f₁(x)=b^(x-h)f₁(x)=b^x/b^h

Now, Put bˣ=f(x):

f₁(x)=f(x)/b^hf₁(x)=b^(-h)f(x)f₁(x)=c f(x)

We discovered that:

c=b^(-h)

So, depending on the values of b and h, c can be greater than or less than one.

Therefore, the statement "the function f₁(x) can be either vertical stretch or vertical compress" is TRUE.

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I NEED HELP ASAP!!!
Which of the following expressions represents “the difference between a number and eleven”?

11 – n
-11 n
n + 11
n – 11


All of the following represent the same concept except _____.

a number minus five
five more than a number
the sum of a number and five
a number increased by five
thank you!!

Answers

The difference between a number (n) and eleven is written as;

⇒ 11 - n

The exception statement is;

''a number minus five''

What is Number system?

A system of writing to express the number is called number system.

Now, Let a number is 'n'

Then, The difference between a number (n) and eleven is,

11 - n

And, Find the mathematical expression of all the statement as;

Let x is a number.

1. a number minus five = x - 5

2. five more than a number = x + 5

3. the sum of a number and five = x + 5

4. a number increased by five = x + 5

So, Clearly the exception statement is;

''a number minus five''

Therefore, The difference between a number (n) and eleven is written as;

⇒ 11 - n

The exception statement is;

''a number minus five''

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What values of x and y satisfy the system of equations {2x+12y=−173x+2y=7?


Enter your answer as an ordered pair, like this: (42, 53)


If your answer includes one or more fractions, use the / symbol to separate numerators and denominators. For example, if your answer is (4253,6475), enter it like this: (42/53, 64/75)


If there is no solution, enter "no"; if there are infinitely many solutions, enter "inf."

Answers

The solution to the system where the system contains linear equations is (59/16, -65/32)

What are linear equations?

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

How to determine the solution to the system?

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

2x + 12y = −17

3x + 2y = 7

Multiply through 3x + 2y = 7 by 6

So, we have

18x + 12y = 42

Subtract the equation 2x + 12y = −17 from 18x + 12y = 42

So, we have

18x - 2x + 12y - 12y = 42 + 17

Evaluate the like terms

So, we have

16x = 59

Divide both sides by 16

So, we have

x = 59/16

Substitute x = 59/16 in 3x + 2y = 7

3 x 59/16 + 2y = 7

This gives

177/16 + 2y = 7

So, we have

2y = 7 - 177/16

Evaluate the difference

2y = -65/16

Divide by 2

y = -65/32

Hence, the solution to the system where the system contains linear equations is (59/16, -65/32)

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MARKING BRAINLEIST AND 100 POINTS JUST PLS EXPLAIN HOW TO SOLVE!!

What is the length of segment AB when A(-2,2) and
B(5,2)?

Answers

Answer:

7

Step-by-step explanation:

You have to do the square root of: (5-(-2)) squared pluse (2-2) squared

Now you have the square root of 7 squared

7 squared is 49, so you have the square root of 49

that equals 7

*Don't forget to mark brainliest

A customer is ordering brick pavers to cover a rectangular walkway that is 3 feet by 15 feet and a square sitting area
that is 6 feet on a side. If one box of pavers covers 5.28 square feet, what is the minimum number of boxes of pavers
the customer should buy?
07
10
O 11
O 16

Answers

A customer should buy minimum 16 boxes of pavers.

In this question, a customer is ordering brick pavers to cover a rectangular walkway that is 3 feet by 15 feet and a square sitting area that is 6 feet on a side.

First we find the total area that will be covered by  pavers.

Area of rectangle = length × width

Area of rectangle = 15 × 3

Area of rectangle = 45

And the area of square = side²

             area of square =   6²

             area of square =  36

So, the total area would be,

Total area = area of rectangle + area of square

Total area = 45 + 36

Total area = 81

So, the total area is 81 square feet.

one box of pavers covers 5.28 square feet.

So using unitary method,

81 / 5.28

= 15.534

≈ 16 boxes

This means, approximately 16 boxes will require to cover the above area.

Therefore, the customer should buy minimum 16 boxes of pavers.

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Convert 1/27 to a decimal. Write the decimal using an ellipsis, then write the decimal using an overbar

Answers

1/27 to a decimal is .0370

Given,

1/27

Divide 1 by 27 so we get

.0370

Decimal, Integers or whole numbers are numbers to the left of the decimal point, while decimal numbers are numbers to the right of the decimal point. It is critical to understand place value when comparing decimals, doing operations on decimals, and so on. This is how a decimal number's place value chart appears. Chart of Place Values

In the case of decimals, the place value system for the whole number component is the same as the full number. However, following the decimal point, a new realm of numbers emerges in which we employ decimal fractions.

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Answer:

yes

Step-by-step explanation:

so yea

9square rooted x 3square rooted x 2square rooted as single surd

Answers

Answer:   [tex]3\sqrt{6}[/tex]

Step-by-step explanation:

[tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] × [tex]\sqrt{2}[/tex] = [tex]\sqrt{54}[/tex]

                    = [tex]3\sqrt{6}[/tex]

SOMEONE PLEASE HELPPPP MEEEEEEE

Answers

Answer:

Step-by-step explanation:

h

Answer: Corresponding Angles

Step-by-step explanation:

PLEASE HELP ME ASAP

Answers

Answer:

x≤−9/2 or x>7/4

Step-by-step explanation:

A local construction company has been asked to increase the pitch of a client’s roof so that it is steeper. Currently, the roof is pitched at about 30%. In other words, the roof rises 6 feet for every 20 feet of horizontal distance. The pitch of the roof would increase if the roof rose:

Answers

Answer:

more than 6 feet  for 20 feet horizontal

Step-by-step explanation:

Increasing the rise increases the pitch


You pay $10 to play the following game of chance. There is a bag containing 12 balls, five are red,
three are green and the rest are yellow. You are to draw one ball from the bag. You will win $14 if
you draw a red ball and you will win $12 is you draw a yellow ball. How much do you expect to
win or loss if you play this game 100 times?

Answers

After playing 100 times the player will loose $-16.67.

Given the outcomes and the probability is:

Outcome            Probability

-$10                       1 (cost to play)

$14 draw red          5/12

$12 draw yellow      4/12

therefore, expected probability = ∑x.p(x)

x is no of trials and

p(x) is probability of the results.

E(x) = (14)5/12 + (12)4/12 + (0)3/12 - 10

E(x) = -2/12

E(x) = -10.1667

For 100 games the expected value E(100x) =

E(100x) = E(x) × 100

E(100x) = -10.1667 × 100

E(100x) = -16.67 i.e loss after game.

Hence the player lose $-16.67 after 100 games.

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m∠W=73°. Find the measure of the complement of ∠W.

115°
15°
17°
107°

Answers

The measure of the angle that complements m∠W is 17°. Option C

What are complementary angles?

Complementary angles are defined as angles that sum up to 90 degrees.

They are also called angles at right angle.

Example:

If x and y are termed complementary angles, then

x + y = 90°

From the information given, we have that;

m∠W is complementary to another unknown angle x

This is represented as;

x + m∠W = 90°

But m∠W = 73°

Substitute the value into the equation

x + 73° = 90°

collect like terms

x = 90 - 73

x = 17°

Thus, the measure of the angle that complements m∠W is 17°. Option C

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Brett is joining a new gym. He can join Power Plus or Heavy Hulk. At Power Plus, it will cost $34.04 per month, plus a sign-up fee of $24.00. At Heavy Hulk, it will cost $34.29, plus a sign-up fee of $36.50. Right now, Heavy Hulk is cutting their sign-up fee in half for new members. If Brett signs up at a gym today, after how many months will the cost of the memberships be the same?

Answers

If Heavy Hulk is cutting their sign-up fee in half for new members. If Brett signs up at a gym today, the number of months that the cost of the memberships be the same is: 23 months.

Number of months

Let x represent the number of months

Hence,

Formulate

$34.04x+24= $34.29x+(36.50/2)

Collect like terms

($34.04x -34.29x)= 24-(36.50/2)

0.25x=24-18.25

0.25x=5.75

Divide both side by 0.25x

x=5.75/0.25

x=23 months

Therefore If Heavy Hulk is cutting their sign-up fee in half for new members. If Brett signs up at a gym today, the number of months that the cost of the memberships be the same is: 23 months.

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A florist is arranging a bouquet of daisies and tulips. He wants twice as many daisies as tulips in the bouquet. If the bouquet contains 24 flowers, how many daisies are in the bouquet?
(A) 8 daisies (B) 12 daisies (C) 16 daisies (D) 24 daisies

Answers

The correct option is (c) 16 daisies

If the bouquet contains 24 flowers then total 16 daisies are in the bouquet.

What are polynomial functions ?

In mathematics, polynomial function can be defined as the equation which consist of coefficient, variables and exponents. All the equations such as quadratic equation, cubic equation which has non  negative number as their powers are part of polynomial equation.

Some examples of polynomial equation are :

2x+53x = 93x² + 5x+19(x-3)³

Now, for the given  question,

let d = number of daisies

     t = number of tulips

according to statement polynomial equation  is,

  d + t = 24    , say equation (i)

Twice as many daisies as tulips:

  d=2t

Put the value of d in equation (i)

  2t + t = 24

  3t = 24

  t = 8

As, number of daisies = 2 (number of tulips)

Therefore, d = 2t = 2 (8) = 16

Thus,  total 16 daisies are in the bouquet.

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if f(x) = 6x - 4, what is f(x) when x = 8?

Answers

Answer:

Step-by-step explanation: 44.

f(x)=6x-4

x=8

f(8)=6(8)-4

f(8)= 48-4

f(8)=44

Four friends race their bikes down the street. Evan finishes in 6.2 seconds, Devon in 6.0999 seconds, Liza in 6.188 seconds, and Tasha in 6.168 seconds. Which order shows the friends’ times from fastest to slowest?

Answers

Answer:

Evan, Liza, Tasha, Devon

Step-by-step explanation:

I am a 4-digit number larger than 2,500. No two of my digits are the same. The product of the thousands digit and the hundreds digit is equal to the ones digit. The sum of my digit is 16.
Read the clues. Find the number

Answers

Step-by-step explanation:

4-digit number abcd

a >= 2

a×b = d

so, 2 <= b <= 4 to allow a single digit result of a×b, and if b would be 1 or 0, the result would be either a copy of a or of b violating the rule that no 2 digits are the same.

that means a >= 3, because with a = 2 and b <= 4 the number can't be larger than 2500.

and that again means 2 <= b <= 3 and 3 <= a <= 4 to allow a single digit result of a×b.

the sum of "my digit" ? I guess you mean the sum of all digits is 16.

a + b + c + d = 16

so, my first guess :

a = 3

b = 2

therefore

d = 3×2 = 6

that means we have already 11 as sum of the digits, that leaves 5 for c.

so, the number would be

3256

the only alternative would start with a = 4 and then b = 2.

but that would make d = a×b = 8. abd 8 + 4 + 2 = 14, and that leaves for c only 2 to sum up to 16, and that would duplicate b.

so, 3256 is the only solution.


For each pair of functions, find f(g(x)) and g(f(x)) .
f(x)=x-3/2, g(x)=2 x-3

Answers

A composite function exists as a function that depends on another function. A composite function exists formed when one function exists substituted into another function.

The value of f(g(x)) = (2x-6)/2 and g(f(x)) =  x - 6.

What is meant by composition function?

In mathematics, function composition exists as an operation ∘ that takes two functions f and g, and has a function h = g ∘ f such that h(x) = g. In this operation, the function g exists used to the result of applying the function f to x.

Function composition is a mathematical procedure where two functions, f, and g, are taken and a function, h = g ∘ f, is produced such that h(x) = g(f(x)). The function g exists used in this operation on the outcome of applying the function f to x.

Let the given functions be f(x) = x-3/2 and g(x) = 2x - 3

f(g(x)) = f(2x-3)

simplifying the above equation, we get

f(g(x)) = f(2x-3) = ((2x-3) - 3)/2

f(g(x)) = f(2x-3) = (2x-6)/2

f(g(x)) = (2x-6)/2

g(f(x)) =  g(x-3/2)

simplifying the above equation, we get

g(f(x)) =  g(x-3/2) = 2((x-3)/2) - 3

g(f(x)) =  g(x-3/2) = x - 6

g(f(x)) =  x - 6

Therefore, the value of f(g(x)) = (2x-6)/2 and g(f(x)) =  x - 6.

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The graph shows the height of a football after being thrown. Use the graph to estimate the x- and y-intercepts of the function, where the function is positive and negative, and interpret the meanings in the context of the situation.

Answers

From the graphed function, it is found that:

The x-intercept is of 5. This means that the football will hit the ground after 5 seconds.The y-intercept is of 6. This means that at time 0, the football was at a height of 6 feet.The function is always positive, which means that the ball is in the air for 6 seconds.The graph shows that the function is never negative.

What are the intercepts of a function f(x)?

The x-intercept of a function f(x) is the value of x when the f(x) = 0, that is, the value of x when the function crosses the x-axis.The y-intercept of a function f(x) is the value of y when the x = 0, that is, the value of y when the function crosses the y-axis.

From this graph, it is found that:

The x-intercept is of 5. This means that the football will hit the ground after 5 seconds.The y-intercept is of 6. This means that at time 0, the football was at a height of 6 feet.

When a function is positive and when it is negative?

A function is positive when it is above the x-axis.A function is negative when it is below the x-axis.

Hence:

The function is always positive, which means that the ball is in the air for 6 seconds.The graph shows that the function is never negative.

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In the following figure, BA≅CA, and D is on BC

Answers

If BD = 3, then it means that CD is also equal to 3 by definition of Isosceles triangle.

What is the missing length of the triangle?

We are given a triangle with the condition that BA ≅ CA. This means that side BA has a length equal to that of side CA.

Now, an Isosceles triangle is defined as a triangle that has at least two sides of equal length. This means that the given triangle ABC is an Isosceles triangle.

Now, since Triangle ABC is an Isosceles triangle, it means that when we draw a perpendicular line through the point joining the two equal sides, it bisects the third side of the triangle.

Thus, it means that BD is congruent to CD.

If BD = 3, then it means that CD is also equal to 3 by definition of Isosceles triangle.

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y = – 3
y = x – 0.8

A coordinate grid with 2 lines. The first line passes through the points (0, negative 0.1) and (0.8, 0). The second line is horizontal passes through the point (0, negative 3). The lines intersect at a point with a coordinate of slightly to the left of negative 2 and negative 3.
What is the best approximation for the solution to this system of equations?

(–3.2, –3)
(–2.9, –3)
(–2.2, –3)
(–1.9, –3)

Answers

The best approximation for the solution to the system of equation is option C) (-2.2 , -3)

According to the question we have been given two system of linear equation which are:

         y = -3          (1)

and   y = x - 0.8        (2)

Now solving these two equation and find the value of x

Substituting the value of y from equation (1) to the equation (2) we get

               -3 = x - 0.8

                -3 + 0.8 = x

                   x = -2.2

Thus the best approximation for the solution to the system of equation is option C) (-2.2 , -3)

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the city council of anytown, u.s.a., is reviewing the funding for local sports-related activities. to be better informed, the council commissions a study. place the sample groups in order from best to worst, based on how well they would represent the population of anytown residents with an active interest in sports.

Answers

The correct order from best to worst of the sample groups is b→ a→ c.

The study conducted by the City Council of USA incorporates the reviewing for the funding for local sports-related activities.

There are 3 sample groups selected from the population of Anytown residents with an active interest in sports. They are:

a. High-school students at three different schools.

b. People randomly approached at a softball tournament, a swim meet, an athletic supply store, and a sports bar.

c. People randomly approached at a department store and at a shopping mall

All these groups are selected randomly.

But for (b), the people are obviously interested in sports activities, as they are selected from softball tournament, a swim meet, an athletic supply store, and a sports bar.

Next would be (a), because the students being younger is probably more interested in sports than elder ones.

The last would be the (c), people selected from the department store since they would be less aware of local- sports related activities.

So the order of samples from best to worst is b→ a→ c.

The question is incomplete. Find the complete question below:

The city council of Anytown, U.S.A., is reviewing the funding for local sports-related activities. To be better informed, it commissions a study. Order the sample groups, best to worst, based on how well they would represent the population of Anytown residents with an active interest in sports.

a. high-school students at three different schools

b. people randomly approached at a softball tournament, a swim meet, an athletic supply store, and a sports bar

c. people randomly approached at a department store and at a shopping mall

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I need help with this problem, I have been stuck on it for awhile.

Answers

After 4 stops both buses will have the same amount of riders that is 27.

What are mathematical operations, exactly?An operation is a function in mathematics that converts zero or more input values (also known as "operands" or "arguments") to a good output value.The operation's arity is determined by the number of operands.

So, Bus A: 15 people ( +3 at every stop)

Bus B: 35 people ( -2 at every stop)

Then,

Stop 1: Bus A (15 + 3) = 18; Bus B (35 - 2) = 33Stop 2: Bus A (18 + 3) = 21; Bus B (33 - 2) = 31Stop 3: Bus A (21 + 3) = 24; Bus B (31 - 2) = 29Stop 4: Bus A (24 + 3) = 27; Bus B (29 - 2) = 27

Therefore, after 4 stops both buses will have the same amount of riders that is 27.

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Read each question. Then write the letter of the correct answer on your paper.What is an equivalent form of 5/2+2 i ?
(F) 5/4i (H) 5+5 i / 4 (G) 10-10i / 4-4i (I) 5-5i / 4

Answers

An equivalent form of 5 / ( 2 + 2 i ) is ( 5 -5 i ) / 4 [ option I ]

Given,

5 / ( 2 + 2 i )

To find its equivalent form we need to simplify the term by using the concept of conjugates.

Conjugate of a term results in opposite power of the imaginary part.

The conjugate of 2 + 2 i = 2 - 2 i

Multiply and divide the term with the conjugate

=> 5 * ( 2 - 2 i ) / ( 2 + 2 i ) * ( 2 - 2 i )

=> 10 - 10 i / 2 ² - ( 2 i ) ²                [ ( a + b ) ( a - b ) = a ² - b ² ]

=> 10 - 10 i / 4 - (-4)                        [ i ² = - 1 ]

=> 10 - 10 i / 8

=> 5 - 5 i / 4

This matches with option I

Therefore, we get an equivalent form of 5 / ( 2 + 2 i ) as ( 5 -5 i ) / 4

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Which theme is revealed through the description of the creature in paragraph 2?The pursuit of a goal matters more than its attainment.People often struggle to control their own imaginations.Uncontrolled ambition can prove to be a terrible mistake.Failures can be powerful motivators for people to try harder. Science, need asap please Jillian volunteered to work at the ticket booth for her school's Halloween carnival. The chart below gives the number of hours Gwen worked and the total amount of money she collected for the tickets she sold.Tickets (t) Money (m)10 $25.008 $20.006 $15.004 $10.00Based on the table, write an equation for the relation between the number tickets Jillian sold and the amount of money she collected.t= 2.50mt= 2.50mt=m2.5t is equal to m over 2 point 5tm = 25tm = 25m=25tm is equal to 25 t 1) excess neurotransmitters are reabsorbed in a process known as reuptake; 2) synaptic vesicles release their neurotransmitters into the synapse; 3) action potential arrives at the terminal button; 4) neurotransmitters travel across the synapse; 5) neurotransmitters bind to receptors on the dendrites of the adjacent neuron; 6) the neuronal signal moves rapidly down the axon to the terminal buttons Assume peanut butter and jelly are complements. Ceteris paribus, an increase in the price of peanut butter will cause the equilibrium price of jelly to. A food truck vendor sells small drinks for $1.15, medium drinks for $1.75, and largedrinks fro $2.25. The vendor sold a total of 1,385 drinks for a full week of business.During the same week, his total sales were $2,238.75. During the week, he also soldtwice as many small drinks as medium drinks. Write a 3X3 system of equations thatmodels the vendors situation. Use s for small drinks, m for medium drinks, and g forlarge drinks. If f(x)=-x^2-1, and g(x)=x+5, then f(g(x)) = Kloe has 24 sunflowers, 16 roses, and 48 white carnations. She wants to make flower arrangements with the same number of each flower. How many flower arrangements can she make? How many of each type of flower is in a flower arrangement? Although they are not a source of law in the same sense as constitutions and statutory law, ______ or ______ laws serve as a basis for some statutory law at the state level. Tickets for an Amtrak train cost $17 for children and $36 for adults. Josie paid $2,297 for a total of 77 tickets. How many children tickets and how many adult tickets did Josie buy? Mark Rickert wrote this email while serving as a journalist in Iraq. What was Rickert's group investigating on the day he wrote the email? help please im so lost. can somebody please explain!!!!? A rectangular page is designed to contain 81 square inches of print. The margins at the top and bottom of the page are each 1 inches deep. The margins on each side are 1 inches wide. What should the dimensions of the page be so that the least amount of paper is used? Find the value of ax9 when a=8 What do you think are the importance of learning the components of motherboard? If the problems is to combine the sentences do you have to keep all the words from both sentences? Gas stored in a tank at 273 K has a pressure of 388 kPa. The safe limit for pressure is 825 kPa. At what temperature will the gas reach this pressure? Carbon is an important element for biological life because it- is always attached to oxygen atoms. can form varied, large, and intricate molecules. is stable and does not easily go through changes. is only found in plant species, such as trees. Fill in the blank to find an equivalent fraction to 8/9 = ?/9 Geometry. I need help because ive been stuck for hours