Chuck has 6$ and he spends 1/5 of his money on candy

Mensuration:

Mensuration is the branch of mathematics which concerns itself with the measurement of Lengths, areas & volume of different geometrical shapes or figures.

Plane Figure: A figure which lies in a plane is called a plane figure.

For e.g:  a rectangle, square, a rhombus, a parallelogram, a trapezium.

Perimeter:

The perimeter of a closed plane figure is the total length of its boundary.

In case of a triangle or a polygon the perimeter is  the sum of the length of its sides.

Unit of perimeter is a centimetre  (cm), metre(m) kilometre(km) e.t.c

Area: The area of the plane figure is the measure of the surface enclose by its boundary.

The area of a triangle are a polygon is the measure of the surface enclosed by its sides.

A square centimetre (cm²) is generally taken at the standard unit of an area. We use square metre (m²) also for the units of area.

Circumference of a circle is the perimeter of a circle.

In a circle the radius is half of the diameter.

The approximate value of π( Pi) is= 22/7 

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Answer:

P(A) = 0.5

Step-by-step explanation:

Look from the tree root (left) and find A.  

When you reach the first branch that shows A, the probability is on it's left, so

P(A) = 0.5

Greetings from Brasil...

See the attached figure. The smaller the θ angle, the smaller the AB side will be. If the angle θ = 90º, then AB = 25. As θ < 90, then AB < 25

5X - 10 < 25

5X < 25 + 10

X < 35/5

X < 7

The AB side can be neither zero nor negative. So

5X - 10 > 0

5X > 10

X > 10/5

X > 2

Answer:

[tex]A = A_c-A_t=4\pi -8=4.5664cm^2[/tex]

Step-by-step explanation:

The area of the shaded region can be calculated as the area of the semicircle less the area of the right triangle.

The area of the right triangle can be calculated as:

[tex]A_t=\frac{b*h}{2} =\frac{LM*MN}{2}[/tex]

Where LM and MN have the same length because the internal angles are L=45°, M=90°, and N=45°. So the area is:

[tex]A_t=\frac{4*4}{2}=8[/tex]

The diameter of the circle can be calculated using the Pythagorean theorem as:

[tex]D=\sqrt{(LM)^2+(MN)^2} =\sqrt{4^2+4^4}=4\sqrt{2}[/tex]

So, the radius is [tex]r=2\sqrt{2}[/tex]

Finally, the area of the semicircle is:

[tex]A_c=\frac{\pi*r^2 }{2}=\frac{\pi*(2\sqrt{2})^2 }{2}=4\pi[/tex]

So, the area of the shaded region is:

[tex]A = A_c-A_t=4\pi -8=4.5664cm^2[/tex]

Answer:

Yes, because the four points in the upper right corner from the same pattern as the four points in the lower left corner.

Step-by-step explanation:

The correlation coefficient for the points in the lower left corner equals zero.

The four points in the upper right corner have the same correlation coefficient because the four points in the upper right corner from the same pattern as the four points in the lower left corner.

Answer:

16

Step-by-step explanation:

1x to 2x ratio

total is 24 oz, aka 3x or 1x+2x

24oz=3x

do some math

x=8oz

raisins = 2x = 16 oz

Answer:

Step-by-step explanation: 2x-16 oz

Answer:

-4

Step-by-step explanation:

give me brainliest please

Answer: x= 4.25 y= 12.75

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since the shape is a cube of side 20cm, then all the side of the cube will be 20cm since all the side of a cube are all equal.

The shortest path the ant can be take is to first travel along the diagonal of the square from point A to the other edge on the front face and then move to point B on its adjacent side on a straight line.

To get the total distance he will take, we will first calcuate the value of the diagonal distance of the square face using pythagoras theorem as shown.

hypotenuse² = opposite² + adjacent²

The opposite = adjacent = 20cm

The hypotenuse is the length of the diagonal that we need.

hyp² = 20²+20²

hyp² = 400+400

hyp² = 800

hyp = √800

hyp = 28.28 cm

The length of the diagonal is 28.28 cm.

Afterwards, the ant will move 20cm to point B from the stopping point.

Total distance will be 28.28 + 20 = 48.28 cm

Answer:

(B)[tex]4\sqrt{37}[/tex]

Step-by-step explanation:

First, we determine the height of the triangle which we label as y.

Using Pythagoras Theorem.

[tex]25^2=7^2+y^2\\y^2=25^2-7^2\\y^2=576\\y=\sqrt{576}\\y=24[/tex]

In the smaller right triangle with hypotenuse, x

Base = 7-3 =4 Units

Height, y= 24 Units

Therefore, applying Pythagoras Theorem.:

[tex]x^2=24^2+4^2\\x^2=592\\x=\sqrt{592}\\ x=4\sqrt{37}[/tex]

Answer:

18.8 cubic inches

Step-by-step explanation:

1. Solve for the volume of Cup A. (volume of a cone = 1/3πr² · h)

1/3 · 3.14 · 1² · 3 = 3.14 in³

2. Solve for the volume of Cup B (volume of a cylinder = πr² · h)

3.14 · 1² · 7 = 21.98 in³

3. Subtract the volume of Cup A from Cup B

21.98 - 3.14 = 18.84

4. Round 18.84 to the nearest tenth

18.84 → 18.8 in.³

Answer:

18 .8

Step-by-step explanation:

got it right on test

Answer: x= - 4/3 and x = 4/3

Step-by-step explanation:

(3x-4) times (3x+4) = 0

Answer:

(D) 56

Step-by-step explanation:

x/y = 2/7

x = 2/7 y

S = x + y

S = 2/7 y + y

S = 9/7 y

y is a multiple of 7, so S is a multiple of 9.

So S cannot be 56.

Answer:

Starcraft

a) Probability of losing at most 2 games = 33%

b) Probability of winning at least 4 games = 67%

Step-by-step explanation:

a) To lose 2 out of 6 games, the probability is 2/6 x 100 = 33.333%

b) To win at least 4 games out of 6, the probability is 4/6 x 100 = 66.667%

c) Since Serral is playing 6 games, for her to lose at most 2 of the games is described as a probability in this form 2/6 x 100.  This shows the chance that 2 of the games out of 6 could be lost by Serral.  On the other hand, the probability of Serral winning at least 4 of the 6 games is given as 4/6 x 100.  It implies that there is a chance, 4 out of 6, that Serral would win the game.

Answer:

The numbers should be less than 16 . The numbers can be 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 ............15

Step-by-step explanation:

Eight less than four times a number is less than 56 . The expression can be written below

let

the number  = a

4a - 8 < 56

add 8 to both sides

4a - 8 + 8 < 56 + 8

4a < 64

divide both sides by 4

a < 64/4

a < 16

The numbers should be less than 16 . The numbers can be 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 ............15

Answer:

Graph A.

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex](2, 1) (5, 3)\\x_1 =2 \\y_1 =1\\x_2=5\\y_2 =3\\m =\frac{y_2-y_1}{x_2-x_1} \\\\m = \frac{3-1}{5-2} \\\\m = 2/3[/tex]

Answer:

3 <1<4<2

hope it worked

pls mark me as

BRAINLIEST

plss

Answer:

3>1>2>4

Step-by-step explanation:

Answer:

-10

-5 * 2 = -10

Hope this is right

Answer:

A.

Step-by-step explanation:

Hello,

g(x-4)=f(x) so the graph of g is the graph of f shifted 4 units to the left.

For any x, the point (x-4, g(x-4)) is 4 units to the left of the point (x,f(x)).

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

A

Step-by-step explanation:

:) i just took the test and it was right

Answer:

1 2/3

Step-by-step explanation:

Well we divide 75 by 45 which is 1.6 repeating and that as a fraction is 1 2/3.

Thus,

the scale factor that relates the 2 triangles is 1 2/3.

Hope this helps :)

Answer:

731`55

Step-by-step explanation:

*Step-by-step explanation:*

The given sequence:

88511, 16351, ?, 10251

To find, the missing number (?) = ?

The pattern follow:

1. To Add the first 2 digits in the number .

2. Subtract digit 3 from Digit 2 .

3. The multiply digit 3 and 4 .

4. To  divide digit 4 by 3.

16351 ⇒ 8 + 8 = 16,   8 - 5 = 3, 5 × 1 = 5 and \dfrac{1}{1} =111=1

= 16351

? ⇒ 1 + 6 = 7, 6 - 3 = 3, 3 × 5 = 15 and \dfrac{5}{1}15 = 5

= 73155

10251  ⇒ 7 + 3 = 10, 3 - 1 = 2,  1 × 5 = 5 and \dfrac{5}{5}55 = 1

=  10251

∴ The missing number of the given sequence = 73155

Thus, the missing number of the given sequence is 73155.

The third number in the sequence is : 73155

The given sequence is:

88511, 16351, ?, 10251

Now the pattern to find the missing value is:

Add, subtract, multiply and then divide.

These patterns are applied on the previous number's double digits to get the next number of the sequence.

Example:

Take 88511.

First pair (8,8): Add them: 16

Second pair (8,5): Subtract them: 8-5 = 3

Third pair: (5,1): Multiply them: 5

Fourth pair(1,1): Divide them: 1/1 = 1

Thus the next number of the sequence we get is 16351.

Similarly, doing it on 2nd term (16351) to find the missing third term:

Add (1,6): 7

Subtract (6,3): 3

Multiply (3,5): 15

Divide (5,1): 5

Thus the third number in the sequence is : 73155

Learn more here:

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The difference of the rational expressions 6/x - 5x/x+2 is (x + 12)/(x(x+2)).

Thus, the correct option would be:

C. (x + 12)/(x(x+2))

To find the difference of the rational expressions, we need to subtract the second expression from the first expression.

Let's simplify the expressions first:

The first expression is 6/x - 5x/(x+2).

To combine the terms, we need a common denominator, which is (x)(x+2).

Converting the first term, 6/x, to have a denominator of (x)(x+2), we get (6(x+2))/(x(x+2)).

Now, we can combine the terms:

[(6(x+2))/(x(x+2))] - [5x/(x+2)]

To subtract the fractions, we need to have a common denominator, which is (x)(x+2).

Expanding the numerators, we get:

[(6x + 12)/(x(x+2))] - [5x/(x+2)]

Now, we can subtract the fractions:

[(6x + 12 - 5x)/(x(x+2))]

Simplifying the numerator, we have:

(6x - 5x + 12)/(x(x+2))

Combining like terms, we get:

(x + 12)/(x(x+2))

Therefore, the difference of the rational expressions 6/x - 5x/x+2 is (x + 12)/(x(x+2)).

Thus, the correct option would be:

C. (x + 12)/(x(x+2))

For similar question on rational expressions.  

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Answer:

a)0.7 is greater than>0.52

b)0.52 is greater than>0.045

c)0.49 is less than<0.94

d)0.302 is greater than>0.23

e)0.9 is greater than>0.6

f)2.36 is less than<3.19

Answer:

Step-by-step explanation:

First, note this parameters from the question.

We let x = number of $5 increases and number of 10 decreases in plates sold.

Our Revenue equation is:

R(x) = (300-10x)(10+5x)

We expand the above equation into a quadratic equation by multiplying each bracket:

R(x) = 3000 + 1500x - 3000x - 1500x^2

R(x) = -1500x^2 - 1500x + 3000 (collect like terms)

Next we simplify, by dividing through by -1500

= 1500x^2/1500 - 1500x/1500 + 3000/1500

= X^2 - x + 2

X^2 - x + 2 = 0

Next, we find the axis of symmetry using the formula x = -b/(2*a) where b = 1, a = 1

X = - (-1)/2*1

X = 1/2

Number of $5 increases = $5x1/2 = $2.5

=$2.5 + $20 = $22.5 ticket price gives max revenue.

Answer:

Step-by-step explanation:

Given : In a circle O,

AB is a diameter and CD⊥AB,

To Prove :

ΔADC ~ ΔACB

Solution :

In ΔADC and ΔACB,

m∠ADC = 90° [Given]

m∠ACB = 90° [Angle subtended by the diameter = 90°]

m∠ADC ≅ m∠ACB ≅ 90°

∠A ≅ ∠A [Reflexive property]

Therefore, ΔADC ~ ΔACB [By AA postulate of similarity]

Answer: min = 12, Q1 =17,  median =23.5 , Q3 = 30, max = 37 .

Step-by-step explanation:

The five-number summary for this data set consists  of  min, Q1,

median, Q3, max.

Given data: 12, 15, 17, 20, 22, 25, 27, 30, 33, 37, which is already arranged in a order.

Minimum value = 12

Maximum value = 37

since , number of observations = 10 (even)

So , Median = Mean of middle most terms

Middle most terms = 22, 25

Median =[tex]\dfrac{22+25}{2}=23.5[/tex]

First quartile ([tex]Q_1[/tex])= Median of first half ( 12, 15, 17, 20, 22)

= middle most term

= 17

Third quartile ([tex]Q_3[/tex]) = Median of second half (25, 27, 30, 33, 37)

= middle most term

= 30

Hence, five-number summary for this data set :

min = 12, Q1 =17,  median =23.5 , Q3 = 30, max = 37 .

Answer:

D

Step-by-step explanation:

It is a trinomial with a degree of 3.

This is the correct answer on the exam.

Answer:

B) –3x – 6 = 21

Step-by-step explanation:

Well the distributive property is the multiplying of a number by more numbers in parenthesis.

For example  -3(x + 2) by using the distributive property we get,

-3x - 6

Thus,

the answer is B) -3x - 6 = 21 because it shows the aftermath of the distributive property.

Hope this helps :)

When distributive property applies on 3(x + 2) = 21 expression than it changes as 3x + 6 = 21.

Distributive property explains us how to solve expressions in the form of a(b + c).

After apply distributive property this term convert as ab+ac.

The given expression is,

3(x + 2) = 21

To solve the expression, use distributive property,

According to distributive property,

a(b + c) changes in the form of ab+ac.

Solve for the given expression,

3x + 2×3 = 21

3x + 6 = 21

Solve for the value of x,

3x = 21 - 6

3x = 15

x = 5

Hence, option (C) is correct.

To know more about Distributive property on:

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