What is 7 and three tenths minus 5 and seven tenths

Answer:

$7 a pound

Step-by-step explanation

$35 dollars in total two 2.5 pounds is 2 x 2.5 = 5 then its 35/5=$7

The areas of the composite figures are:

Case 1: 21 m²

Case 2: 217.5 m²

Case 3: 42 m²

Case 4: 168 cm²

Case 5: 252 m²

Case 6: 27 in²

Case 7: 39 cm²

Case 8: 44 cm²

Case 9: 558

Case 10: 70

Case 11: 78 cm²

Case 12: 21 ft²

In this problem we need to determine the areas of triangles, rectangles and composite figures formed by adding triangles and rectangles. The area formulas are introduced below:

Triangle

A = 0.5 · b · h

Rectangle

A = b · h

Where:

The areas are now determined below:

Case 1:

A = 0.5 · (7 m) · (6 m)

A = 21 m²

Case 2:

A = (9 m) · (15 m) + 0.5 · (11 m) · (15 m)

A = 217.5 m²

Case 3:

A = 0.5 · (7 m) · (12 m)

A = 42 m²

Case 4:

A = 2 · 0.5 · (6 cm) · (8 cm) + 2 · 0.5 · (15 cm) · (8 cm)

A = 168 cm²

Case 5:

A = 2 · 0.5 · (7 m) · (9 m) + 2 · 0.5 · (21 m) · (9 m)

A = 252 m²

Case 6:

A = (9 in) · (2 in) + (3 in)²

A = 27 in²

Case 7:

A = (9 cm) · (3 cm) + (6 cm) · (2 cm)

A = 39 cm²

Case 8:

A = (4 cm) · (5 cm) + (2 cm) · (3 cm) + (3 cm) · (6 cm)

A = 44 cm²

Case 9:

A = 2 · 0.5 · 10 · 18 + 18 · 21

A = 558

Case 10:

A = 14 · 5

A = 70

Case 11:

A = (12 cm) · (6.5 cm)

A = 78 cm²

Case 12:

A = (3 ft) · (5 ft) + (3 ft) · (2 ft)

A = 21 ft²

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Answer:

y = 36

Step-by-step explanation:

given y varies directly  with x then the equation relating them is

y = kx ← k is the constant of variation

to find k use the condition when x = 5 , y = 15

15 = 5k ( divide both sides by 5 )

3 = k

y = 3x ← equation of variation

when x = 12 , then

y = 3 × 12 = 36

The kinetic energy of the roller coaster is 2000Joules

Given the formula for expressing the velocity of the roller coaster is given as:

\(v = \sqrt{\frac{2k}{1000} }\)

Given the following parameter:

v = 10m/s

Substitute the given parameter into the formula to have:

\(10 = \sqrt{\frac{2k}{1000} }\)

Square both sides of the equation:

\((10)^2=(\frac{2k}{1000} )^2\\100=\frac{4k^2}{1,000,000} \\4k^2=100,000.000\\k^2=\frac{100,000,000}{4} \\k^2=4,000,000\\k=2000Joules\)

Hence the kinetic energy of the roller coaster is 2000Joules

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Answer:

You need to use √2k/1000 formula.

2000 joule is the correct answer.

Answer:

16/25 is it's simplest form.

Answer:

16/25

Step-by-step explanation:

2/5 ÷ 5/8

=2/5 2/8 ÷ 5/2 8/5 is how i do it but makes no sense

or known as 0.64 for the answer so there for its 16/25

                              Hope this helps   ;)

The number of Cloud cupcakes that each person will be 4.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

I'm on a team of 9 people and we told our teacher that together we could eat 36 Cloud cupcakes.

The number of Cloud cupcakes that each person will be given as,

⇒ 36 / 9

⇒ 4

The number of Cloud cupcakes that each person will be 4.

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The two angles are supplementary, so their measures add to 180º. Use this to solve for x :

(3x + 20) + x = 180

4x + 20 = 180

4x = 160

x = 40

Then the larger angle has measure

(3(40) + 20)º = (120 + 20)º = 140º

Answer:

24√3

Step-by-step explanation:

the area = 6× (½×4×2√3)

= 6× (4√3)

= 24√3

Answer:

24 sqrt 3

give other person brainliest! :P

Answer:

it's an irrational number because it's non terminating non recurring

hope it helps..................

Answer:

Part A: The two types of types of transformation are

1) Rotation of 11.3° about (1, 2)

2) By algebraic transformation

Part B:

Rotation by 11.3° and T(2 - y)×1/2 + x, 0)

Part C: The transformation that can be used to transform f(x) to g(x) is T(2 - y)×1/2 + x, 0)

Step-by-step explanation:

The coordinates through which the linear function f(x) passes = (1. 3) and (3, 13)

The coordinates through which the linear function g(x) passes = (1, 3) and (1, 13)

The equation for f(x) in slope and intercept form. y = m·x + c is given as follows;

The slope, m = (13 - 3)/(3 - 1) = 5

The equation in point and slope form is y - 3 = 5×(x -1)

y = 5·x - 5 + 3 = 5·x - 3

y = 5·x - 3

The equation for g(x) in slope and intercept form. y = m·x + c is given as follows;

The slope, m = (13 - 3)/(1 - 1) = ∞

∴ The equation in point and slope form is x = 1

Therefore, the two equations meet at the point (1, 2)

The transformation that can be used to transform f(x) to g(x) is T(2 - y)×1/2 + x, 0)

2) Another transformation that can be used is to rotate f(x) by the vertex angle as follows

Vertex angle is 90° - tan⁻¹(m) = 90° - tan⁻¹(5) ≈ 11.3°

Rotation of f(x) by 11.3° about (1, 2) gives g(x)

Hope this helped!

Answer:

b) 3,4,75,100

Step-by-step explanation:

Since in the question it is mentioned that

75,4,3,100

So here the arrangement that creates a proportion is

3,4,75,100

Therefore the option b is correct

Answer: 283.3333333% (283.3%)

Step-by-step explanation:

First, lets turn 2 5/6 into and improper fraction. It becomes 17/6.

Now, we divide 17/6

17/6 = 2.833333333

Now, to turn it into a percent, we multiply it by 100, or move the decimal point 2 places to the right. That gives us 283.3333333% (283.3%)

Hope this helps!

The length of gateleg of the table whose leg swings from one corner of the table to the middle of the far side of the table top is 53 inches long.

The shape forms a trapezoid

The length of the parallel side = is 56 in

The length of the base = is 45 in

To the length of the triangle formed  when the base of the gateleg is connected with the middle of the table

The length of the side when connected with the midpoint = 56/2 = 28

The length of gateleg = hypotenuse

Using Pythagorean theorem :

(hypotenuse)² = (base)² + (perpendicular)²

(hypotenuse)² = (45)² + (28)²

(hypotenuse)² = 2025 + 784

(hypotenuse)² = 2809

hypotenuse = 53

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The question is incomplete the complete question is :

Philippa has a gateleg table in her kitchen. The leg swings from one corner of the table to the middle of the far side of the tabletop, as shown in the sketch below.

Note: The figure is not drawn to scale.

How long is the gateleg of the table?

A.) 53 inches

B.) 49 inches

C.) 73 inches

D.) 72 inches

Answer:

24

Step-by-step explanation:

The inverse of the given matrix is:

( 0 1/2 -1/2 )

(-3 1 -3 )

( 1 -1 0 )

What is inverse ?

In linear algebra, the inverse of a square matrix A is another matrix A^{-1}, such that when A and A^{-1} are multiplied together, the result is the identity matrix I. In other words, A^{-1} is the "inverse" of A, and multiplying A by its inverse "undoes" the effect of A.

To find the inverse of a matrix A using the adjoint method, we follow these steps:

Find the determinant of A.

Find the adjugate of A.

Multiply the adjugate of A by 1/det(A) to get the inverse of A.

Let's follow these steps to find the inverse of the given matrix:

Step 1: Find the determinant of A.

We can use the cofactor expansion method to find the determinant:

det(A) = 1(0-2) - 2(3-0) + 1(6-0) = -2 - 6 + 6 = -2

So det(A) = -2.

Step 2: Find the adjugate of A.

The adjugate of A is the transpose of the matrix of cofactors of A. To find the matrix of cofactors, we need to compute the cofactor of each element of A. The cofactor of an element aij is (-1)i+j times the determinant of the submatrix obtained by deleting the row and column containing aij.

The matrix of cofactors is:

( 0 -6 2 )

( 2 2 -2 )

(-2 6 0 )

Taking the transpose of this matrix gives us the adjugate of A:

( 0 2 -2 )

(-6 2 6 )

( 2 -2 0 )

Step 3: Multiply the adjugate of A by 1/det(A).

We have det(A) = -2, so:

A^{-1} = adj(A)/det(A) = (1/-2)( 0 2 -2 ) ( 0 -1 1 )

(-6 2 6 ) = (-3 1 -3)

( 2 -2 0 ) ( 1 -1 0 )

Therefore, the inverse of the given matrix is:

( 0 1/2 -1/2 )

(-3 1 -3 )

( 1 -1 0 )

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The graph of the piecewise function is the one in option D-

First, we know that:

f(x) = 4  when x ≤ 3

So, we want to have a horizontal line in the left side of the graph, such that it ends in a closed circle at x = 3 (we need to have a closed circle because the symbol ≤ is used).

From the given graphs, the only one with that form is D.

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The value of angle ABC is 26°

What is a value ?

Depending on where it is in the number, each digit has a different value, which is referred to as value. We figure it out by multiplying the digit's place value by its face value. Place value plus face value equals value.

Values are the benchmarks or ideals by which we judge the acts, traits, possessions, or circumstances of others. Values that are embraced by many include those of beauty, honesty, justice, peace, and charity.

Depending on where it is in the number, each digit has a different value, which is referred to as value. We figure it out by multiplying the digit's place value by its face value. Place value plus face value equals value.

to find the ∠ABC

we know ∠CAB = 64° and ∠BCA = 90°

let ∠ABC be x

x + 64 + 90 = 180

x = 180 - 64 - 90

  = 26°

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Answer:

  D.  Symmetric

Step-by-step explanation:

The symmetric property of congruence says, for objects A and B, ...

  if A ≅ B, then B ≅ A.

__

The symmetric property of congruence makes your statement true:

  if ΔHXA ≅ ΔRGI, then ΔRGI ≅ ΔHXA

__

Additional comment

The other answer choices involve other properties:

  Reflexive -- an object is congruent to itself: ΔHXA ≅ ΔHXA

  Commutative -- certain operations allow the order of their operands to be reversed: A +B = B +A for addition; AB = BA (for scalar multiplication)

  Transitive -- if A ≅ B and B ≅ C, then A ≅ C.

The property which is illustrated by the given statement is Symmetric property.

Reflexive property states that for any number, c, the number is equal to itself.

Or in case of expressions, a + b = a + b.

Symmetric property states that, for any numbers m and n,

If m = n then n = m.

Transitive property states that, for any numbers m, n and o,

If m = n and n = o, then m = o.

Commutative property is for operation of numbers.

a + b = b + c

Given statement is If, ΔHXA ≅ ΔRGI, then ΔRGI ≅ ΔHXA.

This is symmetric statement.

Hence the correct option is D.

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The value of x that corresponds to f(x) = 500 lies between 0 and 1. The whole numbers between 0 and 1 are 0 and 1, so the answer whole numbers are 0 and 1.

Exponential growth is a mathematical concept that describes a process where a quantity grows at an increasing rate proportional to its current value. In other words, the larger the quantity, the faster it grows. This leads to a graph that is characterized by a rapid upward curve that becomes steeper and steeper over time.

Exponential growth is often represented by the equation y = abˣ, where y is the final amount, a is the initial amount, b is the growth factor or base, and x is the time or number of periods.

The function f(x) = a(1 - r)ˣ represents exponential decay, where "a" is the initial value, "r" is the decay rate as a decimal, and "x" is the time variable.

In this case, the initial value is 1,000, and the decay rate is 20%, or 0.20 as a decimal. Therefore, the equation for the function becomes:

f(x) = 1,000(1 - 0.20)ˣ = 800ˣ

To find the whole numbers that correspond to a value of f(x) = 500, we can set the equation equal to 500 and solve for x:

500 = 800ˣ

Taking the natural logarithm of both sides, we have:

ln(500) = ln(800ˣ)

Using the property of logarithms, we can bring down the exponent:

ln(500) = x ln(800)

Solving for x, we divide both sides by ln(800):

x = ln(500) / ln(800) ≈ 0.717

Therefore, the value of x that corresponds to f(x) = 500 lies between 0 and 1. The whole numbers between 0 and 1 are 0 and 1, so the answer is:

The whole numbers are 0 and 1.

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Answer:

The actual value is -181/20. Estimate could be -200/20

Step-by-step explanation:

Answer:

\(5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)

Step-by-step explanation:

\(f(x)=x^5\\f'(x)=5x^4\\g(x)=1-\frac{5}{x+8}\\g'(x)=\frac{5}{(x+8)^2}\\\\\frac{d}{dx}f(x)g(x)\\\\=f'(x)g(x)+f(x)g'(x)\\\\=5x^4(1-\frac{5}{x+8})+x^5(\frac{5}{(x+8)^2})\\\\=5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)

Answer:

6+3x=w

Step-by-step explanation:

6 *more* more always means +

and then three *times* times always means *

so it would equal 6+3x=w

Answer: o believe the answer is D hope it helps

Step-by-step explanation:

The answer to the given question is Option B.

At no point can we distinguish between diamonds and hearts, as we are only interested in finding red cards. as a result,

The wrong statement is:

For a given number of selections, we can use Joseph's graph to find the number of diamonds that he has picked so far.  

Therefore, the ultimate answer to the given question is Option B.

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The question is incorrect, The correct question is

Joseph selects a card from a standard deck of 52 cards and then replaces it afterwards. He decides to record the total number of red cards that he selects and calculates the proportion of red cards that he has selected so far after each pick. He then constructs a graph to visualize his results. Which of the following statements is FALSE?

A. The theoretical probability for selecting a red card in each pick is 0.5.

B. For a given number of selections, we can use Joseph's graph to find the number of diamonds that he has picked so far.

C. This is an example of the law of large numbers.

D. The relative frequency of selecting a red card changes with the increase in number of selections.

Answer:

134.04

hope this helps

have a good day :)

Step-by-step explanation:

Answer: 7

Step-by-step explanation:

yarn = 4 1/5 = 21/5

measure of one piece = 3/5

no. of pieces of yarn = 21/5÷3/5

= 21/5×5/3

= 105/15 = 7

So the number of pieces of yarn cut will be 7

Answer:

7

Step-by-step explanation:

4.2' yarn

cut into 0.6' pieces

4.2/0.6 =7

Answer:

false

Step-by-step explanation:

its equal every time because its countinuous

By using the substitution method, we will see that the value of y is 23.

Here we have a system of linear equations, the system is:

y - x = 11

x = 12

The second equation is trivial, it just gives the value of x. Then we can use the substitution method and replace it in the first equation, then we will get:

y - 12 = 11

Now we can solve this for y, we will get:

y = 11 + 12

y = 23

That is the value of y.

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