Describe the ratio of corresponding measures in scale drawing and the actual measure they represent

Assuming this economy is closed: Consumption $6.9 trillion; Government Purchases $11.2 trillion; National Saving $2.3 trillion; Investment $2.3 trillion.

a. Consumption

Private S = ( Y – T – C )

C = Y - T - Private S

C = $12 - $3.6 - $1.5 =$6.9 trillion

b. Government purchases

Public S = ( T - G )          

G = T - Public S                                                        

G = $12 - $0.8

G = $11.2 trillion

c and d. National saving and investment

National savings = Public S + Private S

National savings = $0.8 + $1.5

National savings =$2.3 trillion

Investment=Savings=$2.3 trillion

Therefore, Consumption $6.9 trillion; Government Purchases $11.2 trillion; National Saving $2.3 trillion; Investment $2.3 trillion.

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Answer:

II. Every rhombus is a parallelogram.

III. Every quadrilateral has 4 sides.

Step-by-step explanation:

        Not all parallelograms are rhombuses because a rhombus needs to have equal sides, but a parallelogram does not.

        The definition of a rhombus is "a parallelogram with opposite equal acute angles, opposite equal obtuse angles, and four equal sides" so all rhombuses are parallelograms.

        The definition of a quadrilateral is having four sides, so all quadrilaterals will have four sides.

Answer:

(x + 1) (x + 2)

Step-by-step explanation:

x² + 3x + 2

We can Split the Middle Term of this expression to factorise it

In this technique, if we have to factorise an expression like ax² + bx + c,

we need to think of 2 numbers such that:

N₁ · N₂ = a · c = 1 · 2 = 2

And,

N₁ + N₂ = b = 3

After trying out a few numbers we get N₁ = 2 and N₂ = 1

2 · 1 = 2 and 2 + 1 = 3

x² + 3x + 2 = x² + 2x + x + 2

x (x + 2) + 1 (x + 2)

(x + 1) (x + 2) , is the factorized form.

Answer:

(x+2)(x+1)

Step-by-step explanation:

[tex]x^{2} +3x+2[/tex]

→Multiply the first and last term's coefficient =1×2=2

Now,

→Factors of 2=2,1

→Using 2 and 1 we must add up to 3

Now we get,

[tex]\hookrightarrow x^{2} +3x+2\\\\\hookrightarrow x^{2} +2x+x+2[/tex]

Here when we add 2x and x we get 3x.

Now,

Take common x from x²+2x as well as 1 from x+2

Then we get,

[tex]\hookrightarrow x^{2} +2x+x+2\\\\\hookrightarrow x(x+2)+1(x+2)\\\\[/tex]

Here, x+2 is common. So we can write both of them as one.

[tex]\hookrightarrow (x+2)(x+1)[/tex]

And it is our final answer.

Hence, the final factors are (x+2)(x+1)

Answer:

centroid (2, 2.666666666...)

circumcenter (2, 1.75)

orthocenter (2, 2.5)

Step-by-step explanation:

the coordinates of the centroid of a triangle are

((x1 + x2 + x3)/3, (y1 + y2 + y3)/3)

so, we have

(-4 + 2 + 8)/3 = 6/3 = 2 = x

(0 + 8 + 0)/3 = 8/3 = y = 2.666666666...

the circumcenter is the crossing point of the lines going perpendicular through the midpoint of each side.

the orthocenter is the crossing point of the lines going perpendicular on each side through the opposing vertices (the heights of the triangle).

so, we need to calculate additionally the slopes of 2 sides and their midpoints before we can get these 2 centers. the third side would only confirm the result but not provide additional information.

A = (-4, 0), B = (2, 8), C = (8, 0)

midpoint D of AC = ((-4 + 8)/2, (0+0)/2) = (2, 0)

the slope of AC is

(y2 - y1)/(x2 - x1) = (0 - 0)/(8 - -4) = 0/12 = 0 (a flat line)

the slope of the perpendicular line is -1/slope of original line. which is -1/0 = -infinity.

but don't worry, that means it is a constant line x = ...

and since it has to go through the midpoint D, the perpendicular line is x = 2

midpoint E of BC = ((2+8)/2, (8+0)/2) = (5, 4)

the slope of BC is

(0-8)/(8-2) = -8/6 = -4/3

so, the slope of the perpendicular line is 3/4.

that line is then y = 3/4 x + b

it has to go through the midpoint E

4 = 3/4 × 5 + b = 15/4 + b

16 = 15 + 4b

4b = 1

b = 1/4

so, the full perpendicular line is

y = 3/4 x + 1/4

crossing both perpendicular lines is simply using the first in the second equation :

y = 3/4 × 2 + 1/4 = 6/4 + 1/4 = 7/4 = 1.75

for the orthocenter we can use the same slopes, but the lines go now through the opposing vertices instead through the side midpoints.

so, line 1 is going through B, which makes it also x = 2.

line 2 is going through A, so

0 = 3/4 × -4 + b

0 = -1 + b

b = 1

line 2 is then

y = 3/4 x + 1

crossing these 2 lines gives us

y = 3/4 × 2 + 1 = 6/4 + 4/4 = 10/4 = 5/2 = 2.5

Answer:

Step-by-step explanation:Well first figure out the a b and c for ax^2+bx+c the apply by substituting using the quadratic formula.Then you should get youre answer.

Answer:

Your answer is -2,-3

Step-by-step explanation:

Answer:

a). 100

Step-by-step explanation:

Finding d₁ and d₂

Finding Area

The expression is rewritten as the greatest common factor multiplied by the sum of two numbers is: 6*(8 + 11)

First, we need to find the greatest common factor between 48 and 66.

To find it, we can write both of these as a product of its prime factors, we get:

48 = 2*24 = 2*2*12 = 2*2*2*6 = 2*2*2*2*3

66 = 2*33 = 2*3*11

The greatest common factor that we can make is 2*3 = 6

Then we rewrite the numbers as:

48 = 6*8

66 = 6*11

Now we can rewrite our expression:

48 + 66 = 6*(8 + 11)

So the correct option is C

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Answer:

I dont know i think its 5

Step-by-step explanation:

Answer:

4 :)

Step-by-step explanation:

Answer:

$7.50

Step-by-step explanation:

the question can be represented with:
12.5/5 and x/3

12.5/5 is 2.5, so that means each bag of dog food is $2.5  
So then you multiply 2.5 by 3, = 1.20, so 3 bags of dog food is $7.50.

Answer:

Step-by-step explanation:

Remark

I take it you mean 5 and not 0.5.

If that is the case, this is a proportion question. A proportion consists of 4 parts. If you know 3 of the parts, you can solve for the 4th one.

Formula

Number of bags/Cost = new number of bags/Cost of the new number

Givens

original Number of bags  = 5

Cost = 12.50

New number of bags = 3 bags

Cost = x

Solution

5/12.50 = 3/x           Cross Multiply

5x = 12.50 * 3          Combine the right

5x = 37.5                  Divide by 5

5x/5 = 37.5/5

x = 7.5

Answer: 3 bags cost 7.50 dollars.

ANSWER = 0.48

HOPE IT HELPS :)

Answer: 0.48

Step-by-step explanation:

6 x 8 = 48

we add those decimals back in which would be 0.48

Answer:

124°

Step-by-step explanation:

Not the best at explaining but should be equal to 180 straight across. You have to find the missing angle. You know the right angle is 90° so you will add 34° to get 124°. 180-124 will get you 56°. Straught across you have the angle that you are trying to find which is 124° because 180-56 is 124.

Answer:

31.5

Step-by-step explanation:

bxh/2

so 9x7=63 and divided by 2 is 31.5

Answer:

31.5

Step-by-step explanation:

use the formula base times high divided by 2

9x7=63

63/2=31.5

Tthe value of Paul's investment after 3 years would be equal to 52,285 penny.

Mathematically, compound interest is calculated by using this formula:

[tex]A=P(1+r )^{t}[/tex]

Where:

Given the following data:

Principal = £500.

Time = 3 years

Interest rate = 1.5% = 0.015.

Substituting the given parameters into the formula, we have;

A = 500(1 + 0.015)³

A = 500(1.015)³

A = 500 × 1.0457

A = £522.85.

Conversion:

100 penny = 1 pounds.

X penny = 522.85 pounds.

Cross-multiplying, we have:

X = 522.85 × 100

X = 52,285 penny.

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Answer:

5"11

Step-by-step explanation:

6 foot 2 inches minus 3 inches is 5 foot 3 inches

Answer:

5'11

Step-by-step explanation:

Answer:

Infinitely many solutions

Step-by-step explanation:

(1) ---- 6x - 4y = 9

(2)---- 12x - 8y = 18

If you multiply (1) by 2 → 12x - 8y = 18 --- (3)

and then when you compare (2) and (3), you'll find that you still can't find the value of X and Y therefore, there's infinitely many solutions

Answer:

Infinitely Many Solutions!!

Step-by-step explanation:

You need to do elimination method!!

This is because we need to top the equation to cancel out and become negative.  

6x−4y=9

12x−8y=18

You could do 6x and everything multiplied by -2. But 4y can do the same too!!

I rather do 4y x -2!

-12x+8y=-18

12x−8y=18

Everything cancels out!!

0=0

But 0 equals to 0 goes on forever so the answer is infinite solutions!!

**The reasoning behind the two other choices**

No solution would be like -3=0 which is not our case!!

One solution has something that goes into everything evenly!

Answer:

This is what it should look like. The slope is 0 and there are two points. (0,3) (1,3)

Equivalent expressions of  36x+9 are 9(4x+1) and 9.4x +(9.1) and for 36x-9 the equivalent fractions are 9(4x-1) and 9.4x-(9.1

An expression is combination of variables, numbers and operators.

The given expression  is 36x+9

Thirty six times of x plus nine.

In the expression x is the variable and plus is the operator.

Equivalent expressions are expressions that work the same even though they look different.

The equivalent expression of  36x+9 are 9(4x+1)

and 9.4x +(9.1) we get this factoring the expression.

Now the other expression is 36x-9

Thirty six times of x minus nine.

Minus is the operator in the expression.

The equivalent expressions are 9(4x-1) and 9.4x-(9.1)

Hence,  equivalent expressions of  36x+9 are 9(4x+1) and 9.4x +(9.1) and for 36x-9 the equivalent fractions are 9(4x-1) and 9.4x-(9.1)

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Answer:

[tex] { \sec} A = \sqrt{1 + { \tan}^{2} A } [/tex]

Step-by-step explanation:

[tex] { \sec}^{2} A = 1 + { \tan}^{2} A \\ \\ \implies \: { \sec} A = \sqrt{1 + { \tan}^{2} A } [/tex]

Answer:

As Per Provided Information

Radius of cylindrical shape silo 9 ft

Height of cylindrical shape silo 41 ft

We have been asked to determine the volume of cylindrical silo .

[tex] \boxed{\sf \: Volume_{(Cylindrical\:Silo)} = \pi {r}^{2}h}[/tex]

Substituting the given value in above formula and we obtain

[tex] \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 3.14 \times {9}^{2} \times 41 \\ \\ \\ \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 3.14 \times 81 \times 41 \\ \\ \\ \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 3.14 \times 3321 \\ \\ \\ \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 10427.94 \: {ft}^{3} \\ \\ \\ \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 10428 \: {ft}^{3}[/tex]

Answer:

Volume is 10428 cubic ft.

Step-by-step explanation:

Given :-

To find:-

Solution:-

Putting the known values ,

Volume:- 3.14 × 9² × 41 cubic ft.

Volume :- 10427.94 cubic ft.

rounding off to nearest whole number ,

Volume :- 10428 cubic ft.

Answer:

for 1 is -3

Step-by-step explanation:

Answer:

  t = 200/v

Step-by-step explanation:

The relationship between speed, distance, and time is ...

  d = vt

Solving for t gives ...

  t = d/v

For a distance of d=200 km, the time in hours will be ...

  t = 200/v . . . . . . where v has units of km/hour

Answer:

y = 3x + 2

Step-by-step explanation:

The easiest way to do this, would be to substitute a point (e.g., (2,8)) into your equations to find the one that is true.

(2, 8)

y = 3x - 2

8 = 3(2) - 2

8 = 6 - 2

8 = 4

This statement is false

(2, 8)

y = 3x + 2

8 = 3(2) + 2

8 = 6 + 2

8 = 8

This statement is true

(2, 8)

y = 2x - 3

8 = 2(2) - 3

8 = 4 - 3

8 = 1

This statement is false

(2, 8)

y = 2x + 3

8 = 2(2) + 3

8 = 4 + 3

8 = 7

Therefore, b is the correct answer.

Hope this helps!

The relation that represents the pattern in the table of values is given as; y = 3x + 2

Let us first find the slope of the values from;

m = (y₂ - y₁)/(x₂ - x₁)

m = (8 - 5)/(2 - 1)

m = 3

Thus, the y-intercept is;

5 = 3(1) + c

c = 2

Thus, equation is;

y = 3x + 2

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Answer:

C. 1/10 • 33

D. 0.1 • 33

E. 10/100 • 33

Step-by-step explanation:

Knowing that

10% = 0.1 in decimal form

10% = 1/10 or 10/100 in fraction form

of = multiply

Thus, the following is correct:

C. 1/10 • 33

D. 0.1 • 33

E. 10/100 • 33

We can also solve to find the answer:

10% of 33 = 3.3

0.1 x 0.33 = 0.033

10 x 33 = 330

1/10 x 33 = 3.3

0.1 x 33 = 3.3

10/100 x 33 = 3.3

Hence answer =

C. 1/10 • 33

D. 0.1 • 33

E. 10/100 • 33

[RevyBreeze]

Answer:

C. 1/10 • 33

D. 0.1 • 33

E. 10/100 • 33

Step-by-step explanation:

Before finding the solutions let's first note the following:

Notes :

Of = Multiply

10% ⇒ 0.1 ⇒ 1/10 ⇒ 10/100

Thus, substitute;

C. 1/10 • 33

D. 0.1 • 33

E. 10/100 • 33

Therefore,

C. 1/10 • 33

D. 0.1 • 33

E. 10/100 • 33

are the correct answer.

As well as if you multiply/divide all you will all get 3.3

~lenvy~

Answer:

x = 0, 6

Step-by-step explanation:

8x(x-6) = 0

x = 0, 6

Answer/Step-by-step explanation:

Before we draw a line plot for this data we first need to put then from least to greatest. As well as how many number are each.

Given the following data:

5 1/2

5 3/4

5 3/4

5 7/8

5 7/8

6

6 1/8

6 1/8

6 1/8

6 1/4

6 3/8

We can see that we have:

5 1/2 {1}

5 3/4 {2}

5 7/8 {2}

6    {1}

6 1/8{3}

6 1/4 {1}

6 3/8 {1}

Now put the following from least to greatest:

5 1/2 {1}

5 3/4 {2}

5 7/8 {2}

6 {1}

6 1/8{3}

6 1/4  {1}

6 3/8{1}

We can see that they already in order thus, let put it on a line plot from least to greatest.

~learn with lenvy~

Answer:

143/28 or -185/28

Step-by-step explanation:

Negative case

-(x+3/4))=(41/7)

-x-(3/4)=(41/7)

-x=(185/28)

x=-(185/28)

Positive case

(x+(3/4))=(41/7)

x=(143/28)

lol this was easy r u sure its 6 grade?

Answer:

143/28 or -185/28