A married couple and their 5 children buy tickets to a ball game. The tickets
cost 20 dollars apiece, but each of their children gets a 15 percent discount.
How much does the family pay to go to the game?

\(\huge\colorbox{red}T\colorbox{orange}h\colorbox{yellow}a\colorbox{green}n\colorbox{blue}k\colorbox{purple}s\)

Answer:

19/24

Step-by-step explanation:

3 3/4

= 3 + 3/4

= 12/4 + 3/4

= ( 12 + 3 ) / 4

= 15/4

2 1/3

= 2 + 1/3

= 6/3 + 1/3

= ( 6 + 1 ) / 3

= 7/3

- 3 3/4 × 5/6 - 2 1/3

= 15/4 × 5/6 - 7/3

= ( 15/4 × 5/6 ) - 7/3

( 15 = 3 × 5 )

( 6 = 3 × 2 )

= ( 15/4 × 5/6 ) - 7/3

= ( ( 3 × 5 ) / 4 × 5 / ( 3 × 2 ) ) - 7/3

= [ ( 3 × 5 × 5 ) / ( 4 × 3 x 2 ) ] - 7/3

= [ ( 5 × 5 ) / ( 4 × 2 ) ] - 7/3

= 25/8 - 7/3

LCM of 8 and 3 = 24

25/8

= ( 25/8 ) × ( 3/3 )

= ( 25 × 3 ) / ( 8 × 3 )

= 75/24

7/3

= ( 7/3 ) × ( 8/8 )

= ( 7 × 8 ) / ( 3 × 8 )

= 56/24

25/8 - 7/3

= 75/24 - 56/24

= ( 75 - 56 ) / 24

= 19/24

π/32 is the area enclosed by the curve r= sin(8θ)

The given curve is polar curve and hence the area of the polar curve is given by:

Let A be the area of the curve so,

A = \(\int\limits^a_b {\frac{1}{2} r^2 } \, d\theta\)

where a and b is the boundary at which r=0

so after equation r=0

sin(8θ) =0

=> sin(8θ) =0

=> 8θ = 0,π

=> θ = 0, π/8

so a=0 , b= π/8

now  

   A = \(\int\limits^a_b {\frac{1}{2} r^2 } \, d\theta\)    ------(i)

 so   \(r^2\) = (sin(8θ))^2

=>  \(sin^2\) ( 8θ )

ans we know that

cos(2α) = 1 -  2\(sin^2\) α

so   \(r^2\)  = (1- cos(16θ) )/2

putting the value of r in the equation (i) we get :-

A = \(\int\limits^a_b {\frac{1}{4} *(1-cos(16\alpha ) } \, d\alpha\)

=> 1/4* \(\int\limits^a_b {(1-cos(16\alpha ) } \, d\alpha\)

here a=0 and b=π/8

after putting the value and solving the integral

A = π/32

so A is the area enclosed by r=sin(8θ) is π/32

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Answer:

15/7 = 2.14 or 2 1/7

Hope This Helps!

Answer:

2 1/7

Step-by-step explanation:

15/7 is an improper fraction, in the picture, I have shown you the steps to make a proper fraction to improper

The probability that z is between 1.57 and 1.87 is approximately 0.0275. This would also give us a result of approximately 0.0275.

Assuming you are referring to the standard normal distribution, we can use a standard normal table or a calculator to find the probability that z is between 1.57 and 1.87.

Using a standard normal table, we can find the area under the curve between z = 1.57 and z = 1.87 by subtracting the area to the left of z = 1.57 from the area to the left of z = 1.87. From the table, we can find that the area to the left of z = 1.57 is 0.9418, and the area to the left of z = 1.87 is 0.9693. Therefore, the area between z = 1.57 and z = 1.87 is:

0.9693 - 0.9418 = 0.0275

So the probability that z is between 1.57 and 1.87 is approximately 0.0275.

Alternatively, we could use a calculator to find the probability directly using the standard normal cumulative distribution function (CDF). Using a calculator, we would input:

P(1.57 ≤ z ≤ 1.87) = normalcdf(1.57, 1.87, 0, 1)

where 0 is the mean and 1 is the standard deviation of the standard normal distribution. This would also give us a result of approximately 0.0275.

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The value of k is 1, the volume of the parallelepiped is 12 + 4λ, and the vector component of a + c orthogonal to c is (1,1,1.5).

a) Here the area of the parallelogram determined by d and e is given as 10. The area of the parallelogram is given as `|d×e|`.

We have,

d=(2,4)

and e=(4k,3k)

Then,

d×e= (2 * 3k) - (4 * 4k) = -10k

Area of parallelogram = |d×e|

= |-10k|

= 10

As we know, area of parallelogram can also be given as,

|d×e| = |d||e| sin θ

where, θ is the angle between the two vectors.

Then,10 = √(2^2 + 4^2) * √((4k)^2 + (3k)^2) sin θ

⇒ 10 = √20 √25k^2 sin θ

⇒ 10 = 10k sin θ

∴ k sin θ = 1

Therefore, sin θ = 1/k

Hence, the value of k is 1.

Part(b) The volume of the parallelepiped determined by vectors a, b and c is given as,

| a . (b × c)|

Here, a=(1,1,2),

b=(5,3,λ), and

c=(4,4,0)

Therefore,

b × c = [(3 × 0) - (λ × 4)]i + [(λ × 4) - (5 × 0)]j + [(5 × 4) - (3 × 4)]k

= -4i + 4λj + 8k

Now,| a . (b × c)|=| (1,1,2) .

(-4,4λ,8) |=| (-4 + 4λ + 16) |

=| 12 + 4λ |

Therefore, the volume of the parallelepiped is 12 + 4λ.

Part(c) The vector component of a + c orthogonal to c is given by [(a+c) - projc(a+c)].

Here, a=(1,1,2) and

c=(4,4,0).

Then, a + c = (1+4, 1+4, 2+0)

= (5, 5, 2)

Now, projecting (a+c) onto c, we get,

projc(a+c) = [(a+c).c / |c|^2] c

= [(5×4 + 5×4) / (4^2 + 4^2)] (4,4,0)

= (4,4,0.5)

Therefore, [(a+c) - projc(a+c)] = (5,5,2) - (4,4,0.5)

= (1,1,1.5)

Therefore, the vector component of a + c orthogonal to c is (1,1,1.5).

Conclusion: The value of k is 1, the volume of the parallelepiped is 12 + 4λ, and the vector component of a + c orthogonal to c is (1,1,1.5).

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Answer:

A) 20+3m = 5m

Step-by-step explanation:

20+3m = 5m

20 = 2m

m = 10

after each girl has walked dogs for 10 miles, their amount they charge would be equal

Tonya would charge: 20+3(10) = 20+30 or $50

Beth would charge: 5(10) or $50

Simplify:

Explanation:

The first five terms of the given sequence are 1, 4, 0, 16, and 0.

The given sequence is a geometric sequence whose nth term is aₙ = {1+(-1)ⁿ}ⁿ. We need to find the first five terms of this sequence.

A geometric sequence is a sequence in which each term after the first is obtained by multiplying the preceding term by a fixed non-zero number called the common ratio, which is denoted by r.

Therefore, to find the first five terms of the sequence, we can substitute values of n and simplify to obtain each term as follows: For n = 1:a₁ = {1 + (-1)¹}¹= {1 + (-1)}¹= 0¹= 1Therefore, a₁ = 1For n = 2:a₂ = {1 + (-1)²}²= {1 + 1}²= 2²= 4

Therefore, a₂ = 4For n = 3:a₃ = {1 + (-1)³}³= {1 - 1}³= 0³= 0Therefore, a₃ = 0For n = 4:a₄ = {1 + (-1)⁴}⁴= {1 + 1}⁴= 2⁴= 16

Therefore, a₄ = 16For n = 5:a₅ = {1 + (-1)⁵}⁵= {1 - 1}⁵= 0⁵= 0 Therefore, a₅ = 0 Hence, the first five terms of the given sequence are 1, 4, 0, 16, and 0.

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Answer:

-14

Step-by-step explanation:

(-4)(5)+(-3)(-2)

=-20+6

=-14

Answer:

-14

Step-by-step explanation:

Remember to follow PEMDAS. First multiply, then add.

Note:

If you multiply two negative numbers, the answer will be positive.

If you multiply one negative & one positive, the answer will be negative.

If you multiply two positive numbers, the answer will be positive.  

(-4) * (5) = -20

(-3) * (-2) = 6

Add:

-20 + 6 = -14

-14 is your answer.

~

The area of each polygon in this problem is given as follows:

a) 252 square units.

b) 65 square units.

For item a, we have a rectangle of dimensions 12 and 21, hence the area is the multiplication of the dimensions, as follows:

A = 12 x 21 = 252 square units.

For item b, we have a triangle with base 13 and height 10, hence the area is half the multiplication of the base by the height, as follows:

A = 0.5 x 13 x 10 = 65 square units.

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Answer:

A I believe good luck

Step-by-step explanation:

Answer:

sorry error bessssssssss

Answer: 12 dimes

Step-by-step explanation: 12 quarters = 3.00

five nickels = 3.25

12 dimes = 4.45

13 pennies = 4.58

Answer: 97

Step-by-step explanation:

This can be translated to:

The Grandfather, Don José, is a old man, but is not over 100 years old.

Last year his age was a multiple of 8, and next year will be a multiple of 7.

Find the age of Don José.

Ok, if the age of Don José is X, we have that:

X is a number of two digits.

X + 1 is a multiple of 7

X - 1 is a multiple of 8.

ok, the multiples of 7 are:

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98

the multiples of 8 are:

8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96

Now we must find any two numbers (one for each set) that are distanced by 2 units (because the difference between X + 1 and X - 1 is: (X + 1) - (X - 1) = 2)

We also must have that the larger number comes from the set of the multiples of 7, and the smaller number comes from the set of multiples of 8, the numbers are:

98, is multiple of 7 and this is X + 1

96 is multiple of 8 and this is X - 1

then X = 97,

Answer:

The time the object will hit the ground is 2 s.

Step-by-step explanation:

Given;

h(t) = (-4.9t + 29.4)(t + 2)

Open the bracket;

h(t) = -4.9t² + 29.4t  -9.8t + 58.8

h(t) = -4.9t²  + 19.6t + 58.8

When the  object hit the ground, the final velocity will be zero;

\(v = \frac{dh}{dt} = 0 \\\\\frac{dh}{dt} = -9.8t + 19.6 = 0\\\\9.8t = 19.6\\\\t = \frac{19.6}{9.8} \\\\t = 2 \ s\)

Therefore, the time the object will hit the ground is 2 s.

Answer: y=8x+7

Step-by-step explanation:

8 is the difference between the numbers (slope)

7 is the starting value (y-intercept).

Answer:

y = 8x + 7

Step-by-step explanation:

m = y2-y1 / x2-x1

m = 31-23 / 3-2

m = 8/1

m = 8

y=8x+b

(0,7)

7=8(0) + b

7=0+b

b = 7

y = 8x + 7

May I please have brainliest? Thank you! Hope it helps!

Answer:

51

Step-by-step explanation:

357 ÷ 7 = 51 just divide

Answer:

51

Step-by-step explanation:

if we divide 357 by 7, we should have 51. meaning 357 chair divided in 7 rows, is 51 chairs per row.

The probability that 5 hearts are chosen if 8 cards are selected from a well-shuffled deck of 52 playing cards is  0.0156296302.

The number of choosing 8 cards out of 52 is = ⁵²C₈

Number of ways of choosing 5 cards of heart out of 13 cards and 3 out of remaining 39 cards = ¹³C₅ × ³⁹C₃

Probability of choosing 5 hearts =  ¹³C₅ × ³⁹C₃ /  ⁵²C₈

= 1287 ×9139 / 752538156

= 11761893 / 752538156

= 0.0156296302

A basic 52-card deck consists of 13 ranks in each of the four French suits: clubs, diamonds, hearts, and spades. Each card includes three court cards (face cards), King, Queen, and Jack, as well as reversible (double-headed) images. Each card also contains ten numeral cards or pip cards, from one to ten.

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The only triangle dimensions that give a right angle triangle are;

3) 15, 36, 39

4) 15, 20, 25

6) 16, 30, 34

We are told that If a triangle has side lengths a, b, and c such that;

a² + b² = c² , then that triangle is a right triangle.

1) Using Pythagoras theorem, we can say that;

15² + 18² ≠ 21²

Thus, this is not a right angle triangle.

2) Using Pythagoras theorem, we can say that;

16² + 20² ≠ 24²

Thus, this is not a right angle triangle.

3) Using Pythagoras theorem, we can say that;

15² + 36² = 39²

Thus, this is a right angle triangle.

4) Using Pythagoras theorem, we can say that;

15² + 20² = 25²

Thus, this is a right angle triangle.

5) Using Pythagoras theorem, we can say that;

16² + 32² ≠ 48²

Thus, this is not a right angle triangle.

6) Using Pythagoras theorem, we can say that;

16² + 30² = 34²

Thus, this a right angle triangle.

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Answer:

It's on the third at the picture

Step-by-step explanation:

hope it helps make brainlliest ty the

Answer:

Just put it into Geogebra Classic. It's an app that really helps with this kinda stuff

Volume of the Rectangular Prim = 60 cubic units

What is Volume of the Rectangular?

The volume of a rectangular prism (V) formula is volume of a rectangular prism (V) = l w h, where. To calculate the volume of a rectangular prism, multiply its length, width, and height, which is the area of the base multiplied by its height.

volumn = L*W*H

V = 4* 3*H

Multiplying the length times and width will give us the area of the prism base. this is a 2 -dimensional measurement

multiplying the area of prism base by the height is filling up the prism or adding depth, this is what gives us the third dimension

Area of the base  is 12 square unit . we multiply this by the height

A base of 4 by 3 and height 1 results in 12 cubic unit

A base of 4 by 3 and height 2 results in 24 cubic unit

A base of 4 by 3 and height 3 results in 36 cubic unit

A base of 4 by 3 and height 4 results in 48 cubic unit

A base of 4 by 3 and height 5 results in 60 cubic unit

we can say that each level of the rectangular prism contains 12 cubes. There are 5 level of 12 cubes and total of 60

i used this cube for calculation see attachment

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Answer:2.94642857143

Step-by-step explanation:

The weighted mean takes into account the weight of each investment and can provide a more accurate measure of the overall rate of return on the portfolio than the mean or median.

The weighted mean, mean, and median overall rate of return on this investment portfolio can be calculated using the following formulas:

Weighted Mean: Weighted mean = (R1 x W1) + (R2 x W2) + (R3 x W3) + ...

Mean: Mean = (R1 + R2 + R3 + ...) / N

Median: Median = (N + 1) / 2

where R1, R2, etc. are the returns on individual investments, W1, W2, etc. are the weights assigned to each investment, and N is the total number of investments in the portfolio.

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The area of the shaded region in this problem is given as follows:

198.7 square units.

The area of a circle of radius r is given by the multiplication of π and the radius squared, as follows:

A = πr²

The radius of the smaller circle is given as follows:

3 units.

Hence the area is given as follows:

A = π x 3²

A = 28.3 square units.

The radius of the larger circle is given as follows:

8.5 units.

Hence the area is given as follows:

A = π x 8.5²

A = 227 square units.

Hence the area of the shaded region is given as follows:

227 - 28.3 = 198.7 square units.

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(a) The equation of the line in point-slope form is y - (-3) = 6(x - (-6)). (b) The equation of the line in slope-intercept form is y = 6x + 33.

To find the equation of the line in point-slope form, we use the formula y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope. Given the slope m = 6 and the point (-6, -3), we substitute these values into the formula:

y - (-3) = 6(x - (-6))

Simplifying, we get y + 3 = 6(x + 6).

To write the equation of the line in slope-intercept form (y = mx + b), we need to isolate y on one side of the equation. Starting with the point-slope form equation, we expand and simplify:

y + 3 = 6x + 36

Subtracting 3 from both sides, we have y = 6x + 33.

Therefore, the equation of the line in point-slope form is y - (-3) = 6(x - (-6)), and the equation of the line in slope-intercept form is y = 6x + 33.

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