Find the value of y.

Answer:

32

Step-by-step explanation:

the pattern of sticks from the first 3 diagrams is

7 , 12 , 17 ,..

note the pattern increases by 5 each time , then continue by adding 5 to the previous value.

4th = 17 + 5 = 22

5th = 22 + 5 = 27

6th = 27 + 5 = 32

The peasant had 28 hens and 42 rabbits

Represent hens with h, eggs with e and rabbits with r.

So, we have:

2r = 3h

e = 1/3h

Make h the subject in e = 1/3h

h = 3e

He got 72 pennies.

So, we have:

r + h = 72

Multiply through by 2

2r + 2h = 144

Substitute 2r = 3h in 2r + 2h = 144

3h + 2h = 144

Evaluate the sum

5h = 144

Divide by 5

h = 28.8

Remove decimal

h = 28

Recall that:

2r = 3h

So, we have:

2r= 3 * 28

Divide by 2

r = 3 * 14

Evaluate the product

r = 42

Hence, the peasant had 28 hens and 42 rabbits

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Okay, so out of 8 kids, we know that 6/8 are girls and 2/8 are boys. Its asking us what fraction of the kids are girls. The denominator (the bottom part of the fraction will be the amount of kids at the party, 8) and the top part, the numerator, will be 6 as there are 6 girls at the party of the 8 attendees.

So the fraction is 6/8. However we can reduce this by dividing both sides of the fraction by a common factor, 2!

So your final answer is 3/4.


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Answer:

x < 13 and x > -13

Step-by-step explanation:

Split the absolute value equation into 2 equations to account for the positive and negative answers possible with absolute values.

Write the positive value first by removing the absolute value symbol.

x < 13

Flip the inequality and make the 13 negative for the other side.

x > -13

Answer:

Step-by-step explanation:

Declaration

Let Brand A number of 2.00 socks= x

Let Brand B number of 3.00 socks = y

Equations

Number of socks : x + y = 5

Cost of socks: 2x + 3y = 13

Solution

Multiply top equation by 2

2(x+ y = 5)

2x + 2y = 10

Write the new equation under the cost of socks equation

2x + 3y = 13

2x + 2y = 10       Subtract.

y = 3

She spent 3 dollars on 1 pair of socks.

Now she needs to calculate the number of 2.00 dollar socks

2x + 3y = 13

2x + 3*3 = 13                Combine the left

2x + 9 = 13                   Subtract 9 from both sides.

2x +9-9 = 13-9             Combine

2x = 4                          Divide by 2

2x/2 = 4/2

x = 2

Answer

#2 dollar socks = 2

#3 dollar socks = 3

Answer:

The ratio of sides of triangle = 13:14:15

perimeter = 84 CM

perimeter of a triangle = Sum of all sides

let the sides of a triangle be 13x, 14x and 15x

84 = 13x + 14x + 15x

84 = 42x

x = 2

13x = 13* 2 = 26 CM

14x = 14*2 = 28 CM

15x = 15*2 = 30 CM

Step-by-step explanation:

multiply 2×3 to get 6 and then multiply 6×4

or

multiply 3×4 to get 12 and then multiply 12×2

Answer:

Data Set C

Step-by-step explanation:

You can see that the data is best fit and better looking and fitting to the line in the data set C.

Yes, the line r is parallel to the line s and the line p is parallel to the line q.

Here the given lines are p, q, r, s.

Line p and q are parallel to each other.

and the line p is parallel to the line q.

Therefore, Yes, the line r is parallel to the line s and the line p is parallel to the line q.

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Step-by-step explanation:

(6a + 10)° = (3a + 55)°

6a - 3a = 55 - 10

3a = 45

a = 45/3

a = 15° IS THE ANSWER

Answer:

D)

Step-by-step explanation:

The appropriate numbers to fill in the magic squares are;

Row 2, Column 2 = 21/133

Row 2, Column 3 = 24/38

Row 3, Column 2 = 70/95

Row 3, Column 3 = 25/95

To solve this magic square, we will follow the procedures below;

When we follow those steps above, we will arrive at the following figures;

Row 2, Column 2 = 21/133

Row 2, Column 3 = 24/38

Row 3, Column 2 = 70/95

Row 3, Column 3 = 25/95

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3.5

The triangle shown is a 30-60-90 special right triangle. All right triangles that have a 30-degree angle will be, but if needed you can use the equation: 180 - (90 + 30) = x, to find the missing angle.

Special Right Triangles

Special right triangles are useful because they allow us to easily find missing sides without having to use sin, cos, or tan. All special right triangles have formulas that can be used to find missing sides.

Formulas

30-60-90 triangles have 3 sides: the hypotenuse (c), the short leg (b), and the long leg (a).

The formulas are as follows:

Solving for b

We are already given c, so the easiest way to find b is to use the formula b = 0.5c. Just plugin the c-value.

Once simplified the final answer is

The angle measurements the carpenter needs to cut the carpet to make it fit in his room are 144°, 144°, 144°, 144°, 144°, 90°, and 90°

From the question, we are to determine the angle measurements that the carpenter needs to cut the carpet to make it fit in his room

The diagram shows a heptagon with two of its angles, a right-angle each, and the remaining angles have equal values, x.

First, we will calculate the sum of angles in a heptagon

The sum of angles in a polygon is given by the formula

Sum of angles in a polygon = (n-2)180°

Where n is the number of sides

For a heptagon, n = 7

∴ Sum of angles in a heptagon = (7-2)180°

= 5×180°

= 900°

Now, considering the given diagram, we can write that

x + x + x + x + x + 90° + 90° = 900°

5x + 180° = 900°

5x = 900° - 180°

5x = 720°

x = 720°/5

x = 144°

Hence, the angle measurements the carpenter needs to cut the carpet to make it fit in his room are 144°, 144°, 144°, 144°, 144°, 90°, and 90°

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Red sweets

_______

Total number =

N÷n+8

Probility is 7/10=n÷n+8

10n= 7n+56

3n=56

N= 56/3 but it has to be a whole number so 7/10

Answer:

D

Step-by-step explanation:

Answer:

8. 14

9. 14π

10. 49π

11. 1.75π

12. [tex]\frac{49}{12}[/tex] π

Step-by-step explanation:

If the radius is 7, the diameter is 14.

Circumference is pi * diameter, so 14π

Area is π r², so 49π

Arc length is [tex]\frac{n}{360}[/tex] * 2πr, so [tex]\frac{45}{360}[/tex] * 14π = 1.75π

Sector Area is [tex]\frac{n}{360}[/tex] * πr², so [tex]\frac{30}{360}[/tex] * 49π = [tex]\frac{49}{12}[/tex]π

Answer:

Nobody likes a short, one-word-answer. Let’s make sure other people understand everything.

Step-by-step explanation:

By lisa Simpson

Answer:

9

Step-by-step explanation:

Answer:

3 and 4

Step-by-step explanation:

well you can approximate by squaring values

2^2 = 4

3^2 = 9

4^2 = 16

the value should fall somewhere between 3 and 4 since the square root of 9 is 3 and the square root of 16 is 4

Answer:

The simplified form is -26x^2 + 56x -15

Step-by-step explanation:

We need to solve the expression:

3x(-2x+7)-5(x-1)(4x-3)

Multiplying the terms outside the bracket with the terms inside the bracket.

=-6x^2+21x-5(x(4x-3) -1(4x-3))

= -6x^2+21x-5(4x^2-3x-4x+3)

= -6x^2+21x-5(4x^2-7x+3)

Now multiply -5 with the terms inside the bracket

= -6x^2+21x -20x^2 +35x -15

Now, Combining the like terms:

= -6x^2 -20x^2 +21x+35x -15

Adding the like terms

= -26x^2 + 56x -15

So, the simplified form is -26x^2 + 56x -15

-26^2+56x-15 yea that should be the answer

Answer:

$110

Step-by-step explanation:

$30-$8=$22 each week

$22×5weeks=$110

Answer:

System of linear equations

The linear system of equations has infinitely many solutions when lines overlap, so both have same slope and y-intercept.

We can solve it in two different ways

1. Note that when the first equation is multiplied by 4, it has same value of constant as the second equation, which is 64.

When compared it gives us:

2. Convert both equations from standard to slope-intercept form and compare:

Work out values of a and b:

The measure of the exterior angle PNM will be x < 77. Then the correct option is C.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

Triangle NPO is shown.

Line ON extends through point M to form exterior angle PNM.

Angle NPO is 38 degrees.

Angle PON is 39 degrees.

Let the exterior angle PNM is x degrees and the interior angle PYO be y.  

Then we have

38 + 39 + y = 180°

                y = 103°

And we know that the sum of interior and exterior angle is a triangle is 180 degrees.

   x + y < 180

103 + x < 180

         x < 77

Then the correct option is C.

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The correct option is Option A:  x > 38° this statement about x value is true.

Given in triangle ΔNPO the angle ∠ PNM is the exterior b to the interior angle ∠ PNO of the triangle.

Given the angle ∠NPO= 38°

∠PON= 39°

As we know the exterior angle is the sum of the two farthest interior angles of the triangle.

Then we can write the angle ∠PNM as

So, ∠PNM = ∠NPO + ∠PON

⇒ x = 38° + 39° = 77° {Given that ∠ PNM = 38° and ∠ PON = 39°}

{Since the exterior angle of an interior angle is equal to the sum of the other two interior angles of a triangle}

As x=77°

which satisfies the relation x=77° >38°.

Therefore,The correct option is Option A:  x > 38° this statement about x value is true.

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Answer:

Which of the following completes Ted's proof?

In square ABCD; angle ADC = angle BCD

In square ABCD; angle ADP = angle BCP

In triangles APD and BPC; angle ADC = angle BCD

In triangles APD and BPC; angle ADP = angle BCP\

Answer:

it is a trapezoid and a quadrilateral

Explaination -

Square is a quadrilateral of 4 equal side and 4 equal angles so it is not square as all sides are unequal and all angles are also unequal

rhombus is a quadrilateral which has equal sides 4 equal angles and it's diagonal bisects each other.

rectangle has two opposite sides equal and parallel and each Ange equal as 90°

parallelogram is a quadrilateral in which a pair of opposite sides are parallel and equal and the remaining sides are unequal

The correct answer is option D which is the volume of the square pyramid will be  [tex]V = \dfrac{1}{2}x^2y\ cm^3[/tex].

A solid made up of a square base and four triangles connected side by side and meet at the same edge is called a square pyramid.

Given that:-

The volume of the pyramid will be calculated as:-

Volume = [tex]\dfrac{1}{2}[/tex] x Length of square pyramid x Height

Volume = [tex]\dfrac{1}{2}[/tex]  x (x)² x y

Volume = [tex]\dfrac{1}{2}[/tex] x²y

Therefore the correct answer is option D which is the volume of the square pyramid will be  [tex]V = \dfrac{1}{2}x^2y\ cm^3[/tex].

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Answer:

C

Step-by-step explanation:

cos 30=12/x

[tex]x = 8 \sqrt{3} [/tex]

cos60=y/x

[tex]y =4 \sqrt{3} [/tex]

Answer:

x = [tex]8\sqrt{3}[/tex]

y = [tex]4\sqrt{3}[/tex]

Step-by-step explanation:

• tan 60° = 12/ y         [tan θ = opposite/ adjacent]

y = 12/ tan 60°  

y = [tex]4\sqrt{3}[/tex]

• x² = y² + 12²             [Pythagoras's theorem]

x² = ( [tex]4\sqrt{3}[/tex] )² + 144

x = [tex]\sqrt{(4\sqrt{3})^{2} \space\ + \space\ 144}[/tex]

x = [tex]8\sqrt{3}[/tex]

Work Shown:

r = 8 = radius

h = 63 = height

V = volume of the cone

[tex]V = \frac{1}{3}\pi*r^2*h\\\\V = \frac{1}{3}\pi*8^2*63\\\\V = \left(\frac{1}{3}*8^2*63\right)\pi\\\\V = \left(\frac{1}{3}*63*8^2\right)\pi\\\\V = \left(21*64\right)\pi\\\\V = 1344\pi\\\\[/tex]

Side note: You could write the symbol π as "pi" without quotes.

Using proportions, it is found that the measure of the inscribed angle B is of 30º.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In a circle, the inscribed angle is half the measure of the outside angle. Hence, in this problem, the measure of angle B is of 50% of 60º, hence:

m<B = 0.5 x 60º = 30º.

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Answer:

Using proportions, it is found that the measure of the inscribed angle B is of 30º.

Step-by-step explanation: