Creating production possibilities schedules and curves

Answer:

  explanation:

solving similarities:

bigger triangle is double of the smaller triangle.

balancing them:

→ x + 9 = 2(2x - 3)

→ x + 9 = 4x - 6

→ 4x - x = 9 + 6

→ 3x = 15

→ x = 5

[tex]→x + 9 = 2(2x - 3)[/tex]

[tex]→x + 9 = 4x - 6[/tex]

[tex]→ 4x - x = 9 +6[/tex]

[tex]→ 3x = 15[/tex]

[tex]→ x = 5[/tex]

Answer:

x = 20, y = 3

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{TU}{QR}[/tex] = [tex]\frac{UV}{RS}[/tex] ( substitute values )

[tex]\frac{x}{4}[/tex] = [tex]\frac{30}{6}[/tex] = 5 ( multiply both sides by 4 )

x = 20

and

[tex]\frac{QS}{TV}[/tex] = [tex]\frac{RS}{UV}[/tex] ( substitute values )

[tex]\frac{y}{15}[/tex] = [tex]\frac{6}{30}[/tex] ( cross- multiply )

30y = 90 ( divide both sides by 30 )

y = 3

Answer: Area - 17a^2 b, Perimeter - 10a^2 + 10 b

Step-by-step explanation:

To find the area, we can divide the figure into 3 separate rectangles.

Then, we find the area of each separate rectangle and add them together.

Area = a^2b + a^2b + 15a^2b

Area = 17a^2 b

The perimeter is the sum of all sides

Perimeter = a^2 + b + 3a^2 + b + a^2 + 4b + 5a^2 + 4b

Perimeter = 10a^2 + 10 b

Answer:

C

Step-by-step explanation:

The picture

Answer:

6 +x

Step-by-step explanation:

Let the number = x

Sum of 14 and a number = 14 +x

8 fewer than (14 + x )= 14 + x - 8 = 6 +x

Answer: 14 + x - 8 (can also be 6 + x)

Step-by-step explanation:

8 fewer means we're subtracting 8, which is -8

Sum of 14 and a number would be 14 + x

All of this combined would be 14 + x - 8 but if you want to simplify it, you can subtract 8 from 14 and get 6. This would be 6 + x.

Answer:

The original price of the helmet is 30$

Step-by-step explanation:

Answer:

55w + 145

Step-by-step explanation:

Total = all accounts, so you have to add 10w to 45w, and 120 to 25

10w + 45w = 55w

120 + 25 = 145

So the answer is 55w + 145

Answer:

x = 9

Step-by-step explanation:

this is because 8 times 9 = 72

Answer:

here sin theta = 5/13, and cos theta = 12/13

Step-by-step explanation:

so here tan theta = 5/12 [ as given ] tan=opposite/adjacent  so sin=opposite/hypo and cos = adjacent/hypo

Brainliest?!

Answer:

a) 0.11

b) 60

Step-by-step explanation:

a)

Probability that a 3 will be rolled = frequency of 3 / total frequency

frequency of 3 = 11

total frequency = 100; 12 + 35 + 11 + 23 + 7 + 12 = 100

= 11/100

= 0.11

Answer: 0.11

b)

Probability of getting 6 = 12/100 = 0.12

Now, the dice is rolled over 500 times:

total times = 0.12 × 500

= 60 times

Answer: 60

To find :-

Solution :-

As we know that,

→ ₹1 = 100 p

So ,

→ 700p = ₹ 700/100

→ 700p = ₹ 7

Now let's calculate % , as ;

→ 700p / ₹7 * 100 %

→ ₹7/₹7 *100 %

→ 1 *100%

→ 100%

Hence 700p is 100% of ₹7 .

I hope this helps.

Step-by-step explanation:

We know that ,

1rupees = 100 paise

so , 7 rupees = 700 paise

We have to find the percentage of 700 paise of 7 rupees

Calculating Percentage ,

700paise/7rupees×100

7/7 × 100%

= 100%

Answer:

17"

Step-by-step explanation:

Isosceles means there are two equal sides in this triangle.

So the height not only is perpendicular to the base, but also cuts the base in half.

Each half is 15 inches. (30÷2=15) See image.

These half triangles formed by the height, are right triangles. You can use Pythagorean theorem or if you're familiar with the pythagorean triple 8, 15, 17, you will find the length of the side is 17 inches. See image.

You can solve it by yourself only as no graphs attached.Steps provided below

Mark that

Now unite both using interval notation

Answer:

B and I

Step-by-step explanation:

1 x 3 = 3

2 x 3 = 6

3 x 3 = 9

etc.

12 x 3 = 36

Answer:

The correct time will be shown again at 6pm on Monday

Answer:

*

Step-by-step explanation:

                   - 96

                -8         12

          - 4         2          6

     4         -1          -2       -3

16       .25     -4        .5           -6

Each circle along with the number to be filled in it is mentioned below.

Number sequence is a progression or an ordered list of numbers governed by a pattern or rule.

Given is a pyramid puzzle.

The rule to be followed in order to complete this pyramid is as follows "Every number is the product of the two numbers directly below it".

Fill Circle [1] with the number 72.

Fill Circle [2] with the number 6.

Fill Circle [3] with the number 3.

Fill Circle [4] with the number 6.

Fill Circle [5] with the number 0.75.

Fill Circle [6] with the number -2.

Fill Circle [7] with the number 16.

Fill Circle [8] with the number 3.

Fill Circle [9] with the number -6.

Therefore, each circle along with the number to be filled in it is mentioned above.

To solve more questions on puzzles, visit the link below-

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Answer:

angle A = 45°

angle B = 110°

angle C = 25°

Answer:

i hope this will help uh.

Answer:

I think 30

Step-by-step explanation:

I don't know I could be wrong

Answer:

10

Step-by-step explanation:

let your current age be x.

mother's age=48

3(x+6)=48

3x+18=48

3x=30

x=10

Answer:

10/-5 =2/-1 = -2

Step-by-step explanation:

If this does not help, just ignore it honestly.

Solition for [tex]x^2-4=0[/tex] is [tex]\pm2[/tex]

Ans: x₁=-2; x₂=2

Answer:

16, 11.314, 11.314

Step-by-step explanation:

You can get this answer because we know that a 45, 45, 90 triangles formula (aka The Pythagorean Theorem) is:

a^2+b^2=c^2

Hope this helps :D

Answer:

2s + 0.13s

2.13s

Step-by-step explanation:

One shirt costs s.

2 shirts cost 2s.

The tax rate is 6.5%, so the tax on 2s is 0.065 × 2s = 0.13s

The total cost with tax is 2s + 0.13s

You can also find the total cost by realizing that since the tax is 6.5%, the total price with tax is 1.065 times the cost, so you can write it as 1.065 × 2s = 2.13s

Answer:

2s + 0.13s

2.13s

Answer:

2.13s

and

2s+0.13s

Step-by-step explanation:

Because 2 shirts is s and 6.5 per cent would turn into 6.5 because of 2 times 1.065 is 0.13 which is the answer for part 2

Answer:

75 degrees

Step-by-step explanation:

The corresponding angle is 75 degrees

Answer:

75 Degrees

Step-by-step explanation:

They are corresponding which would be 75 Degrees

Answer:

Here's the ones I got so far

Step-by-step explanation:

38% of 250 = 95

7.5(3 * 7 + 4) = 187.5... x = 7

28 + x > 42... X can be 67, 96, 54

380 / 5 = 76 each hour

3 gallons of gas for 1 hour, 3 x 15 hours = 45 gallons

COP = 0.75, havent found rule, if i do ill comment

shaded triangle = 40..... 8 × 10 / 2= 40... explanation: a triangle (right in this case) would be divided by 2 because its half of a square / rectangle.

Answer:

[tex]\left \{ {{6x+4y=76} \atop {x+y=16}} \right.[/tex]

Step-by-step explanation:

1) if (according to the condition) the amount of quilting is 'x' and the amount of sateen is 'y', then the price of the quilting fabric is 6*x and the price of then sateen fabric is 4*y;

2) the 76$ she spends can be written as 6x+4y=76;

3) total of 16 yards can be written as x+y=16;

4) finally, the required system is:

[tex]\left \{ {{6x+4y=76} \atop {x+y=16}} \right.[/tex]

A system of equations is a collection of two or more equations with a same set of unknowns. 4x+6y=76, x+y=16 are required system of equations.

A system of equations is a collection of two or more equations with a same set of unknowns.

According to the condition the amount of quilting is 'x' and the amount of sateen is 'y', then the price of the quilting fabric is 4x and the price of then sateen fabric is 6y;

the 76$ she spends can be written as 4x+6y=76;

Total of 16 yards can be written as x+y=16;

So the required system of Equations is:

4x+6y=76

x+y=16

Hence Option C is correct. 4x+6y=76, x+y=16.

To learn more on System of Equations click:

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Answer:

-2.5

Step-by-step explanation:

It is the answer of the first question.

Answer:

y=3x+23

Step-by-step explanation:

Parallel lines have the same slope, so we basically keep the same equation, but we find the new y-intercept so it accounts for (-7,2):

y = 3x + b

2 = 3(-7) + b

2 = -21 + b

23 = b

Therefore, your equation would be y=3x+23

Answer:

2.8

Step-by-step explanation:

By the angle bisector theorem, [tex]\frac{AC}{AB}=\frac{CD}{DB}.[/tex] Plugging in the values from the diagram gives:

[tex]\frac{5.8}{5.5}=\frac{3}{?}.[/tex]

Solving gives

[tex]?=(3\cdot 5.5)/5.8\\\approx 2.8[/tex]

Answer:

it is very hard questions but i give answer